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-rw-r--r--library/core/src/num/mod.rs5359
1 files changed, 5359 insertions, 0 deletions
diff --git a/library/core/src/num/mod.rs b/library/core/src/num/mod.rs
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@@ -0,0 +1,5359 @@
+// ignore-tidy-filelength
+
+//! Numeric traits and functions for the built-in numeric types.
+
+#![stable(feature = "rust1", since = "1.0.0")]
+
+use crate::convert::Infallible;
+use crate::fmt;
+use crate::intrinsics;
+use crate::mem;
+use crate::ops::{BitOr, BitOrAssign};
+use crate::str::FromStr;
+
+// Used because the `?` operator is not allowed in a const context.
+macro_rules! try_opt {
+    ($e:expr) => {
+        match $e {
+            Some(x) => x,
+            None => return None,
+        }
+    };
+}
+
+#[allow_internal_unstable(const_likely)]
+macro_rules! unlikely {
+    ($e: expr) => {
+        intrinsics::unlikely($e)
+    };
+}
+
+macro_rules! impl_nonzero_fmt {
+    ( #[$stability: meta] ( $( $Trait: ident ),+ ) for $Ty: ident ) => {
+        $(
+            #[$stability]
+            impl fmt::$Trait for $Ty {
+                #[inline]
+                fn fmt(&self, f: &mut fmt::Formatter<'_>) -> fmt::Result {
+                    self.get().fmt(f)
+                }
+            }
+        )+
+    }
+}
+
+macro_rules! doc_comment {
+    ($x:expr, $($tt:tt)*) => {
+        #[doc = $x]
+        $($tt)*
+    };
+}
+
+macro_rules! nonzero_integers {
+    ( $( #[$stability: meta] $Ty: ident($Int: ty); )+ ) => {
+        $(
+            doc_comment! {
+                concat!("An integer that is known not to equal zero.
+
+This enables some memory layout optimization.
+For example, `Option<", stringify!($Ty), ">` is the same size as `", stringify!($Int), "`:
+
+```rust
+use std::mem::size_of;
+assert_eq!(size_of::<Option<core::num::", stringify!($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]
+                pub struct $Ty($Int);
+            }
+
+            impl $Ty {
+                /// Creates a non-zero without checking the value.
+                ///
+                /// # Safety
+                ///
+                /// The value must not be zero.
+                #[$stability]
+                #[rustc_const_stable(feature = "nonzero", since = "1.34.0")]
+                #[inline]
+                pub const unsafe fn new_unchecked(n: $Int) -> Self {
+                    // SAFETY: this is guaranteed to be safe by the caller.
+                    unsafe { Self(n) }
+                }
+
+                /// Creates a non-zero if the given value is not zero.
+                #[$stability]
+                #[rustc_const_stable(feature = "const_nonzero_int_methods", since = "1.47.0")]
+                #[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 = "nonzero", since = "1.34.0")]
+                pub const fn get(self) -> $Int {
+                    self.0
+                }
+
+            }
+
+            #[stable(feature = "from_nonzero", since = "1.31.0")]
+            impl From<$Ty> for $Int {
+                doc_comment! {
+                    concat!(
+"Converts a `", stringify!($Ty), "` into an `", stringify!($Int), "`"),
+                    fn from(nonzero: $Ty) -> Self {
+                        nonzero.0
+                    }
+                }
+            }
+
+            #[stable(feature = "nonzero_bitor", since = "1.45.0")]
+            impl 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 { $Ty::new_unchecked(self.get() | rhs.get()) }
+                }
+            }
+
+            #[stable(feature = "nonzero_bitor", since = "1.45.0")]
+            impl BitOr<$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 { $Ty::new_unchecked(self.get() | rhs) }
+                }
+            }
+
+            #[stable(feature = "nonzero_bitor", since = "1.45.0")]
+            impl BitOr<$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")]
+            impl BitOrAssign for $Ty {
+                #[inline]
+                fn bitor_assign(&mut self, rhs: Self) {
+                    *self = *self | rhs;
+                }
+            }
+
+            #[stable(feature = "nonzero_bitor", since = "1.45.0")]
+            impl BitOrAssign<$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 $Ty
+            }
+        )+
+    }
+}
+
+nonzero_integers! {
+    #[stable(feature = "nonzero", since = "1.28.0")] NonZeroU8(u8);
+    #[stable(feature = "nonzero", since = "1.28.0")] NonZeroU16(u16);
+    #[stable(feature = "nonzero", since = "1.28.0")] NonZeroU32(u32);
+    #[stable(feature = "nonzero", since = "1.28.0")] NonZeroU64(u64);
+    #[stable(feature = "nonzero", since = "1.28.0")] NonZeroU128(u128);
+    #[stable(feature = "nonzero", since = "1.28.0")] NonZeroUsize(usize);
+    #[stable(feature = "signed_nonzero", since = "1.34.0")] NonZeroI8(i8);
+    #[stable(feature = "signed_nonzero", since = "1.34.0")] NonZeroI16(i16);
+    #[stable(feature = "signed_nonzero", since = "1.34.0")] NonZeroI32(i32);
+    #[stable(feature = "signed_nonzero", since = "1.34.0")] NonZeroI64(i64);
+    #[stable(feature = "signed_nonzero", since = "1.34.0")] NonZeroI128(i128);
+    #[stable(feature = "signed_nonzero", since = "1.34.0")] NonZeroIsize(isize);
+}
+
+macro_rules! from_str_radix_nzint_impl {
+    ($($t:ty)*) => {$(
+        #[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 }
+
+/// Provides intentionally-wrapped arithmetic on `T`.
+///
+/// Operations like `+` on `u32` values are intended to never overflow,
+/// and in some debug configurations overflow is detected and results
+/// in a panic. While most arithmetic falls into this category, some
+/// code explicitly expects and relies upon modular arithmetic (e.g.,
+/// hashing).
+///
+/// Wrapping arithmetic can be achieved either through methods like
+/// `wrapping_add`, or through the `Wrapping<T>` type, which says that
+/// all standard arithmetic operations on the underlying value are
+/// intended to have wrapping semantics.
+///
+/// The underlying value can be retrieved through the `.0` index of the
+/// `Wrapping` tuple.
+///
+/// # Examples
+///
+/// ```
+/// use std::num::Wrapping;
+///
+/// let zero = Wrapping(0u32);
+/// let one = Wrapping(1u32);
+///
+/// assert_eq!(u32::MAX, (zero - one).0);
+/// ```
+#[stable(feature = "rust1", since = "1.0.0")]
+#[derive(PartialEq, Eq, PartialOrd, Ord, Clone, Copy, Default, Hash)]
+#[repr(transparent)]
+pub struct Wrapping<T>(#[stable(feature = "rust1", since = "1.0.0")] pub T);
+
+#[stable(feature = "rust1", since = "1.0.0")]
+impl<T: fmt::Debug> fmt::Debug for Wrapping<T> {
+    fn fmt(&self, f: &mut fmt::Formatter<'_>) -> fmt::Result {
+        self.0.fmt(f)
+    }
+}
+
+#[stable(feature = "wrapping_display", since = "1.10.0")]
+impl<T: fmt::Display> fmt::Display for Wrapping<T> {
+    fn fmt(&self, f: &mut fmt::Formatter<'_>) -> fmt::Result {
+        self.0.fmt(f)
+    }
+}
+
+#[stable(feature = "wrapping_fmt", since = "1.11.0")]
+impl<T: fmt::Binary> fmt::Binary for Wrapping<T> {
+    fn fmt(&self, f: &mut fmt::Formatter<'_>) -> fmt::Result {
+        self.0.fmt(f)
+    }
+}
+
+#[stable(feature = "wrapping_fmt", since = "1.11.0")]
+impl<T: fmt::Octal> fmt::Octal for Wrapping<T> {
+    fn fmt(&self, f: &mut fmt::Formatter<'_>) -> fmt::Result {
+        self.0.fmt(f)
+    }
+}
+
+#[stable(feature = "wrapping_fmt", since = "1.11.0")]
+impl<T: fmt::LowerHex> fmt::LowerHex for Wrapping<T> {
+    fn fmt(&self, f: &mut fmt::Formatter<'_>) -> fmt::Result {
+        self.0.fmt(f)
+    }
+}
+
+#[stable(feature = "wrapping_fmt", since = "1.11.0")]
+impl<T: fmt::UpperHex> fmt::UpperHex for Wrapping<T> {
+    fn fmt(&self, f: &mut fmt::Formatter<'_>) -> fmt::Result {
+        self.0.fmt(f)
+    }
+}
+
+// All these modules are technically private and only exposed for coretests:
+pub mod bignum;
+pub mod dec2flt;
+pub mod diy_float;
+pub mod flt2dec;
+
+mod wrapping;
+
+macro_rules! usize_isize_to_xe_bytes_doc {
+    () => {
+        "
+
+**Note**: This function returns an array of length 2, 4 or 8 bytes
+depending on the target pointer size.
+
+"
+    };
+}
+
+macro_rules! usize_isize_from_xe_bytes_doc {
+    () => {
+        "
+
+**Note**: This function takes an array of length 2, 4 or 8 bytes
+depending on the target pointer size.
+
+"
+    };
+}
+
+macro_rules! int_impl {
+    ($SelfT:ty, $ActualT:ident, $UnsignedT:ty, $BITS:expr, $Min:expr, $Max:expr, $Feature:expr,
+     $EndFeature:expr, $rot:expr, $rot_op:expr, $rot_result:expr, $swap_op:expr, $swapped:expr,
+     $reversed:expr, $le_bytes:expr, $be_bytes:expr,
+     $to_xe_bytes_doc:expr, $from_xe_bytes_doc:expr) => {
+        doc_comment! {
+            concat!("The smallest value that can be represented by this integer type.
+
+# Examples
+
+Basic usage:
+
+```
+", $Feature, "assert_eq!(", stringify!($SelfT), "::MIN, ", stringify!($Min), ");",
+$EndFeature, "
+```"),
+            #[stable(feature = "assoc_int_consts", since = "1.43.0")]
+            pub const MIN: Self = !0 ^ ((!0 as $UnsignedT) >> 1) as Self;
+        }
+
+        doc_comment! {
+            concat!("The largest value that can be represented by this integer type.
+
+# Examples
+
+Basic usage:
+
+```
+", $Feature, "assert_eq!(", stringify!($SelfT), "::MAX, ", stringify!($Max), ");",
+$EndFeature, "
+```"),
+            #[stable(feature = "assoc_int_consts", since = "1.43.0")]
+            pub const MAX: Self = !Self::MIN;
+        }
+
+        doc_comment! {
+            concat!("Converts a string slice in a given base to an integer.
+
+The string is expected to be an optional `+` or `-` sign followed by digits.
+Leading and trailing whitespace represent an error. Digits are a subset of these characters,
+depending on `radix`:
+
+ * `0-9`
+ * `a-z`
+ * `A-Z`
+
+# Panics
+
+This function panics if `radix` is not in the range from 2 to 36.
+
+# Examples
+
+Basic usage:
+
+```
+", $Feature, "assert_eq!(", stringify!($SelfT), "::from_str_radix(\"A\", 16), Ok(10));",
+$EndFeature, "
+```"),
+            #[stable(feature = "rust1", since = "1.0.0")]
+            pub fn from_str_radix(src: &str, radix: u32) -> Result<Self, ParseIntError> {
+                from_str_radix(src, radix)
+            }
+        }
+
+        doc_comment! {
+            concat!("Returns the number of ones in the binary representation of `self`.
+
+# Examples
+
+Basic usage:
+
+```
+", $Feature, "let n = 0b100_0000", stringify!($SelfT), ";
+
+assert_eq!(n.count_ones(), 1);",
+$EndFeature, "
+```
+"),
+            #[stable(feature = "rust1", since = "1.0.0")]
+            #[rustc_const_stable(feature = "const_int_methods", since = "1.32.0")]
+            #[inline]
+            pub const fn count_ones(self) -> u32 { (self as $UnsignedT).count_ones() }
+        }
+
+        doc_comment! {
+            concat!("Returns the number of zeros in the binary representation of `self`.
+
+# Examples
+
+Basic usage:
+
+```
+", $Feature, "assert_eq!(", stringify!($SelfT), "::MAX.count_zeros(), 1);", $EndFeature, "
+```"),
+            #[stable(feature = "rust1", since = "1.0.0")]
+            #[rustc_const_stable(feature = "const_int_methods", since = "1.32.0")]
+            #[inline]
+            pub const fn count_zeros(self) -> u32 {
+                (!self).count_ones()
+            }
+        }
+
+        doc_comment! {
+            concat!("Returns the number of leading zeros in the binary representation of `self`.
+
+# Examples
+
+Basic usage:
+
+```
+", $Feature, "let n = -1", stringify!($SelfT), ";
+
+assert_eq!(n.leading_zeros(), 0);",
+$EndFeature, "
+```"),
+            #[stable(feature = "rust1", since = "1.0.0")]
+            #[rustc_const_stable(feature = "const_int_methods", since = "1.32.0")]
+            #[inline]
+            pub const fn leading_zeros(self) -> u32 {
+                (self as $UnsignedT).leading_zeros()
+            }
+        }
+
+        doc_comment! {
+            concat!("Returns the number of trailing zeros in the binary representation of `self`.
+
+# Examples
+
+Basic usage:
+
+```
+", $Feature, "let n = -4", stringify!($SelfT), ";
+
+assert_eq!(n.trailing_zeros(), 2);",
+$EndFeature, "
+```"),
+            #[stable(feature = "rust1", since = "1.0.0")]
+            #[rustc_const_stable(feature = "const_int_methods", since = "1.32.0")]
+            #[inline]
+            pub const fn trailing_zeros(self) -> u32 {
+                (self as $UnsignedT).trailing_zeros()
+            }
+        }
+
+        doc_comment! {
+            concat!("Returns the number of leading ones in the binary representation of `self`.
+
+# Examples
+
+Basic usage:
+
+```
+", $Feature, "let n = -1", stringify!($SelfT), ";
+
+assert_eq!(n.leading_ones(), ", stringify!($BITS), ");",
+$EndFeature, "
+```"),
+            #[stable(feature = "leading_trailing_ones", since = "1.46.0")]
+            #[rustc_const_stable(feature = "leading_trailing_ones", since = "1.46.0")]
+            #[inline]
+            pub const fn leading_ones(self) -> u32 {
+                (self as $UnsignedT).leading_ones()
+            }
+        }
+
+        doc_comment! {
+            concat!("Returns the number of trailing ones in the binary representation of `self`.
+
+# Examples
+
+Basic usage:
+
+```
+", $Feature, "let n = 3", stringify!($SelfT), ";
+
+assert_eq!(n.trailing_ones(), 2);",
+$EndFeature, "
+```"),
+            #[stable(feature = "leading_trailing_ones", since = "1.46.0")]
+            #[rustc_const_stable(feature = "leading_trailing_ones", since = "1.46.0")]
+            #[inline]
+            pub const fn trailing_ones(self) -> u32 {
+                (self as $UnsignedT).trailing_ones()
+            }
+        }
+
+        doc_comment! {
+            concat!("Shifts the bits to the left by a specified amount, `n`,
+wrapping the truncated bits to the end of the resulting integer.
+
+Please note this isn't the same operation as the `<<` shifting operator!
+
+# Examples
+
+Basic usage:
+
+```
+let n = ", $rot_op, stringify!($SelfT), ";
+let m = ", $rot_result, ";
+
+assert_eq!(n.rotate_left(", $rot, "), m);
+```"),
+            #[stable(feature = "rust1", since = "1.0.0")]
+            #[rustc_const_stable(feature = "const_int_methods", since = "1.32.0")]
+            #[must_use = "this returns the result of the operation, \
+                          without modifying the original"]
+            #[inline]
+            pub const fn rotate_left(self, n: u32) -> Self {
+                (self as $UnsignedT).rotate_left(n) as Self
+            }
+        }
+
+        doc_comment! {
+            concat!("Shifts the bits to the right by a specified amount, `n`,
+wrapping the truncated bits to the beginning of the resulting
+integer.
+
+Please note this isn't the same operation as the `>>` shifting operator!
+
+# Examples
+
+Basic usage:
+
+```
+let n = ", $rot_result, stringify!($SelfT), ";
+let m = ", $rot_op, ";
+
+assert_eq!(n.rotate_right(", $rot, "), m);
+```"),
+            #[stable(feature = "rust1", since = "1.0.0")]
+            #[rustc_const_stable(feature = "const_int_methods", since = "1.32.0")]
+            #[must_use = "this returns the result of the operation, \
+                          without modifying the original"]
+            #[inline]
+            pub const fn rotate_right(self, n: u32) -> Self {
+                (self as $UnsignedT).rotate_right(n) as Self
+            }
+        }
+
+        doc_comment! {
+            concat!("Reverses the byte order of the integer.
+
+# Examples
+
+Basic usage:
+
+```
+let n = ", $swap_op, stringify!($SelfT), ";
+
+let m = n.swap_bytes();
+
+assert_eq!(m, ", $swapped, ");
+```"),
+            #[stable(feature = "rust1", since = "1.0.0")]
+            #[rustc_const_stable(feature = "const_int_methods", since = "1.32.0")]
+            #[inline]
+            pub const fn swap_bytes(self) -> Self {
+                (self as $UnsignedT).swap_bytes() as Self
+            }
+        }
+
+        doc_comment! {
+            concat!("Reverses the bit pattern of the integer.
+
+# Examples
+
+Basic usage:
+
+```
+let n = ", $swap_op, stringify!($SelfT), ";
+let m = n.reverse_bits();
+
+assert_eq!(m, ", $reversed, ");
+```"),
+            #[stable(feature = "reverse_bits", since = "1.37.0")]
+            #[rustc_const_stable(feature = "const_int_methods", since = "1.32.0")]
+            #[inline]
+            #[must_use]
+            pub const fn reverse_bits(self) -> Self {
+                (self as $UnsignedT).reverse_bits() as Self
+            }
+        }
+
+        doc_comment! {
+            concat!("Converts an integer from big endian to the target's endianness.
+
+On big endian this is a no-op. On little endian the bytes are swapped.
+
+# Examples
+
+Basic usage:
+
+```
+", $Feature, "let n = 0x1A", stringify!($SelfT), ";
+
+if cfg!(target_endian = \"big\") {
+    assert_eq!(", stringify!($SelfT), "::from_be(n), n)
+} else {
+    assert_eq!(", stringify!($SelfT), "::from_be(n), n.swap_bytes())
+}",
+$EndFeature, "
+```"),
+            #[stable(feature = "rust1", since = "1.0.0")]
+            #[rustc_const_stable(feature = "const_int_conversions", since = "1.32.0")]
+            #[inline]
+            pub const fn from_be(x: Self) -> Self {
+                #[cfg(target_endian = "big")]
+                {
+                    x
+                }
+                #[cfg(not(target_endian = "big"))]
+                {
+                    x.swap_bytes()
+                }
+            }
+        }
+
+        doc_comment! {
+            concat!("Converts an integer from little endian to the target's endianness.
+
+On little endian this is a no-op. On big endian the bytes are swapped.
+
+# Examples
+
+Basic usage:
+
+```
+", $Feature, "let n = 0x1A", stringify!($SelfT), ";
+
+if cfg!(target_endian = \"little\") {
+    assert_eq!(", stringify!($SelfT), "::from_le(n), n)
+} else {
+    assert_eq!(", stringify!($SelfT), "::from_le(n), n.swap_bytes())
+}",
+$EndFeature, "
+```"),
+            #[stable(feature = "rust1", since = "1.0.0")]
+            #[rustc_const_stable(feature = "const_int_conversions", since = "1.32.0")]
+            #[inline]
+            pub const fn from_le(x: Self) -> Self {
+                #[cfg(target_endian = "little")]
+                {
+                    x
+                }
+                #[cfg(not(target_endian = "little"))]
+                {
+                    x.swap_bytes()
+                }
+            }
+        }
+
+        doc_comment! {
+            concat!("Converts `self` to big endian from the target's endianness.
+
+On big endian this is a no-op. On little endian the bytes are swapped.
+
+# Examples
+
+Basic usage:
+
+```
+", $Feature, "let n = 0x1A", stringify!($SelfT), ";
+
+if cfg!(target_endian = \"big\") {
+    assert_eq!(n.to_be(), n)
+} else {
+    assert_eq!(n.to_be(), n.swap_bytes())
+}",
+$EndFeature, "
+```"),
+            #[stable(feature = "rust1", since = "1.0.0")]
+            #[rustc_const_stable(feature = "const_int_conversions", since = "1.32.0")]
+            #[inline]
+            pub const fn to_be(self) -> Self { // or not to be?
+                #[cfg(target_endian = "big")]
+                {
+                    self
+                }
+                #[cfg(not(target_endian = "big"))]
+                {
+                    self.swap_bytes()
+                }
+            }
+        }
+
+        doc_comment! {
+            concat!("Converts `self` to little endian from the target's endianness.
+
+On little endian this is a no-op. On big endian the bytes are swapped.
+
+# Examples
+
+Basic usage:
+
+```
+", $Feature, "let n = 0x1A", stringify!($SelfT), ";
+
+if cfg!(target_endian = \"little\") {
+    assert_eq!(n.to_le(), n)
+} else {
+    assert_eq!(n.to_le(), n.swap_bytes())
+}",
+$EndFeature, "
+```"),
+            #[stable(feature = "rust1", since = "1.0.0")]
+            #[rustc_const_stable(feature = "const_int_conversions", since = "1.32.0")]
+            #[inline]
+            pub const fn to_le(self) -> Self {
+                #[cfg(target_endian = "little")]
+                {
+                    self
+                }
+                #[cfg(not(target_endian = "little"))]
+                {
+                    self.swap_bytes()
+                }
+            }
+        }
+
+        doc_comment! {
+            concat!("Checked integer addition. Computes `self + rhs`, returning `None`
+if overflow occurred.
+
+# Examples
+
+Basic usage:
+
+```
+", $Feature, "assert_eq!((", stringify!($SelfT),
+"::MAX - 2).checked_add(1), Some(", stringify!($SelfT), "::MAX - 1));
+assert_eq!((", stringify!($SelfT), "::MAX - 2).checked_add(3), None);",
+$EndFeature, "
+```"),
+            #[stable(feature = "rust1", since = "1.0.0")]
+            #[rustc_const_stable(feature = "const_checked_int_methods", since = "1.47.0")]
+            #[must_use = "this returns the result of the operation, \
+                          without modifying the original"]
+            #[inline]
+            pub const fn checked_add(self, rhs: Self) -> Option<Self> {
+                let (a, b) = self.overflowing_add(rhs);
+                if unlikely!(b) {None} else {Some(a)}
+            }
+        }
+
+        doc_comment! {
+            concat!("Unchecked integer addition. Computes `self + rhs`, assuming overflow
+cannot occur. This results in undefined behavior when `self + rhs > ", stringify!($SelfT),
+"::MAX` or `self + rhs < ", stringify!($SelfT), "::MIN`."),
+            #[unstable(
+                feature = "unchecked_math",
+                reason = "niche optimization path",
+                issue = "none",
+            )]
+            #[must_use = "this returns the result of the operation, \
+                          without modifying the original"]
+            #[inline]
+            pub unsafe fn unchecked_add(self, rhs: Self) -> Self {
+                // SAFETY: the caller must uphold the safety contract for
+                // `unchecked_add`.
+                unsafe { intrinsics::unchecked_add(self, rhs) }
+            }
+        }
+
+        doc_comment! {
+            concat!("Checked integer subtraction. Computes `self - rhs`, returning `None` if
+overflow occurred.
+
+# Examples
+
+Basic usage:
+
+```
+", $Feature, "assert_eq!((", stringify!($SelfT),
+"::MIN + 2).checked_sub(1), Some(", stringify!($SelfT), "::MIN + 1));
+assert_eq!((", stringify!($SelfT), "::MIN + 2).checked_sub(3), None);",
+$EndFeature, "
+```"),
+            #[stable(feature = "rust1", since = "1.0.0")]
+            #[rustc_const_stable(feature = "const_checked_int_methods", since = "1.47.0")]
+            #[must_use = "this returns the result of the operation, \
+                          without modifying the original"]
+            #[inline]
+            pub const fn checked_sub(self, rhs: Self) -> Option<Self> {
+                let (a, b) = self.overflowing_sub(rhs);
+                if unlikely!(b) {None} else {Some(a)}
+            }
+        }
+
+        doc_comment! {
+            concat!("Unchecked integer subtraction. Computes `self - rhs`, assuming overflow
+cannot occur. This results in undefined behavior when `self - rhs > ", stringify!($SelfT),
+"::MAX` or `self - rhs < ", stringify!($SelfT), "::MIN`."),
+            #[unstable(
+                feature = "unchecked_math",
+                reason = "niche optimization path",
+                issue = "none",
+            )]
+            #[must_use = "this returns the result of the operation, \
+                          without modifying the original"]
+            #[inline]
+            pub unsafe fn unchecked_sub(self, rhs: Self) -> Self {
+                // SAFETY: the caller must uphold the safety contract for
+                // `unchecked_sub`.
+                unsafe { intrinsics::unchecked_sub(self, rhs) }
+            }
+        }
+
+        doc_comment! {
+            concat!("Checked integer multiplication. Computes `self * rhs`, returning `None` if
+overflow occurred.
+
+# Examples
+
+Basic usage:
+
+```
+", $Feature, "assert_eq!(", stringify!($SelfT),
+"::MAX.checked_mul(1), Some(", stringify!($SelfT), "::MAX));
+assert_eq!(", stringify!($SelfT), "::MAX.checked_mul(2), None);",
+$EndFeature, "
+```"),
+            #[stable(feature = "rust1", since = "1.0.0")]
+            #[rustc_const_stable(feature = "const_checked_int_methods", since = "1.47.0")]
+            #[must_use = "this returns the result of the operation, \
+                          without modifying the original"]
+            #[inline]
+            pub const fn checked_mul(self, rhs: Self) -> Option<Self> {
+                let (a, b) = self.overflowing_mul(rhs);
+                if unlikely!(b) {None} else {Some(a)}
+            }
+        }
+
+        doc_comment! {
+            concat!("Unchecked integer multiplication. Computes `self * rhs`, assuming overflow
+cannot occur. This results in undefined behavior when `self * rhs > ", stringify!($SelfT),
+"::MAX` or `self * rhs < ", stringify!($SelfT), "::MIN`."),
+            #[unstable(
+                feature = "unchecked_math",
+                reason = "niche optimization path",
+                issue = "none",
+            )]
+            #[must_use = "this returns the result of the operation, \
+                          without modifying the original"]
+            #[inline]
+            pub unsafe fn unchecked_mul(self, rhs: Self) -> Self {
+                // SAFETY: the caller must uphold the safety contract for
+                // `unchecked_mul`.
+                unsafe { intrinsics::unchecked_mul(self, rhs) }
+            }
+        }
+
+        doc_comment! {
+            concat!("Checked integer division. Computes `self / rhs`, returning `None` if `rhs == 0`
+or the division results in overflow.
+
+# Examples
+
+Basic usage:
+
+```
+", $Feature, "assert_eq!((", stringify!($SelfT),
+"::MIN + 1).checked_div(-1), Some(", stringify!($Max), "));
+assert_eq!(", stringify!($SelfT), "::MIN.checked_div(-1), None);
+assert_eq!((1", stringify!($SelfT), ").checked_div(0), None);",
+$EndFeature, "
+```"),
+            #[stable(feature = "rust1", since = "1.0.0")]
+            #[rustc_const_unstable(feature = "const_checked_int_methods", issue = "53718")]
+            #[must_use = "this returns the result of the operation, \
+                          without modifying the original"]
+            #[inline]
+            pub const fn checked_div(self, rhs: Self) -> Option<Self> {
+                if unlikely!(rhs == 0 || (self == Self::MIN && rhs == -1)) {
+                    None
+                } else {
+                    // SAFETY: div by zero and by INT_MIN have been checked above
+                    Some(unsafe { intrinsics::unchecked_div(self, rhs) })
+                }
+            }
+        }
+
+        doc_comment! {
+            concat!("Checked Euclidean division. Computes `self.div_euclid(rhs)`,
+returning `None` if `rhs == 0` or the division results in overflow.
+
+# Examples
+
+Basic usage:
+
+```
+assert_eq!((", stringify!($SelfT),
+"::MIN + 1).checked_div_euclid(-1), Some(", stringify!($Max), "));
+assert_eq!(", stringify!($SelfT), "::MIN.checked_div_euclid(-1), None);
+assert_eq!((1", stringify!($SelfT), ").checked_div_euclid(0), None);
+```"),
+            #[stable(feature = "euclidean_division", since = "1.38.0")]
+            #[rustc_const_unstable(feature = "const_euclidean_int_methods", issue = "53718")]
+            #[must_use = "this returns the result of the operation, \
+                          without modifying the original"]
+            #[inline]
+            pub const fn checked_div_euclid(self, rhs: Self) -> Option<Self> {
+                if unlikely!(rhs == 0 || (self == Self::MIN && rhs == -1)) {
+                    None
+                } else {
+                    Some(self.div_euclid(rhs))
+                }
+            }
+        }
+
+        doc_comment! {
+            concat!("Checked integer remainder. Computes `self % rhs`, returning `None` if
+`rhs == 0` or the division results in overflow.
+
+# Examples
+
+Basic usage:
+
+```
+", $Feature, "
+assert_eq!(5", stringify!($SelfT), ".checked_rem(2), Some(1));
+assert_eq!(5", stringify!($SelfT), ".checked_rem(0), None);
+assert_eq!(", stringify!($SelfT), "::MIN.checked_rem(-1), None);",
+$EndFeature, "
+```"),
+            #[stable(feature = "wrapping", since = "1.7.0")]
+            #[rustc_const_unstable(feature = "const_checked_int_methods", issue = "53718")]
+            #[must_use = "this returns the result of the operation, \
+                          without modifying the original"]
+            #[inline]
+            pub const fn checked_rem(self, rhs: Self) -> Option<Self> {
+                if unlikely!(rhs == 0 || (self == Self::MIN && rhs == -1)) {
+                    None
+                } else {
+                    // SAFETY: div by zero and by INT_MIN have been checked above
+                    Some(unsafe { intrinsics::unchecked_rem(self, rhs) })
+                }
+            }
+        }
+
+        doc_comment! {
+            concat!("Checked Euclidean remainder. Computes `self.rem_euclid(rhs)`, returning `None`
+if `rhs == 0` or the division results in overflow.
+
+# Examples
+
+Basic usage:
+
+```
+assert_eq!(5", stringify!($SelfT), ".checked_rem_euclid(2), Some(1));
+assert_eq!(5", stringify!($SelfT), ".checked_rem_euclid(0), None);
+assert_eq!(", stringify!($SelfT), "::MIN.checked_rem_euclid(-1), None);
+```"),
+            #[stable(feature = "euclidean_division", since = "1.38.0")]
+            #[rustc_const_unstable(feature = "const_euclidean_int_methods", issue = "53718")]
+            #[must_use = "this returns the result of the operation, \
+                          without modifying the original"]
+            #[inline]
+            pub const fn checked_rem_euclid(self, rhs: Self) -> Option<Self> {
+                if unlikely!(rhs == 0 || (self == Self::MIN && rhs == -1)) {
+                    None
+                } else {
+                    Some(self.rem_euclid(rhs))
+                }
+            }
+        }
+
+        doc_comment! {
+            concat!("Checked negation. Computes `-self`, returning `None` if `self == MIN`.
+
+# Examples
+
+Basic usage:
+
+```
+", $Feature, "
+assert_eq!(5", stringify!($SelfT), ".checked_neg(), Some(-5));
+assert_eq!(", stringify!($SelfT), "::MIN.checked_neg(), None);",
+$EndFeature, "
+```"),
+            #[stable(feature = "wrapping", since = "1.7.0")]
+            #[rustc_const_stable(feature = "const_checked_int_methods", since = "1.47.0")]
+            #[inline]
+            pub const fn checked_neg(self) -> Option<Self> {
+                let (a, b) = self.overflowing_neg();
+                if unlikely!(b) {None} else {Some(a)}
+            }
+        }
+
+        doc_comment! {
+            concat!("Checked shift left. Computes `self << rhs`, returning `None` if `rhs` is larger
+than or equal to the number of bits in `self`.
+
+# Examples
+
+Basic usage:
+
+```
+", $Feature, "assert_eq!(0x1", stringify!($SelfT), ".checked_shl(4), Some(0x10));
+assert_eq!(0x1", stringify!($SelfT), ".checked_shl(129), None);",
+$EndFeature, "
+```"),
+            #[stable(feature = "wrapping", since = "1.7.0")]
+            #[rustc_const_stable(feature = "const_checked_int_methods", since = "1.47.0")]
+            #[must_use = "this returns the result of the operation, \
+                          without modifying the original"]
+            #[inline]
+            pub const fn checked_shl(self, rhs: u32) -> Option<Self> {
+                let (a, b) = self.overflowing_shl(rhs);
+                if unlikely!(b) {None} else {Some(a)}
+            }
+        }
+
+        doc_comment! {
+            concat!("Checked shift right. Computes `self >> rhs`, returning `None` if `rhs` is
+larger than or equal to the number of bits in `self`.
+
+# Examples
+
+Basic usage:
+
+```
+", $Feature, "assert_eq!(0x10", stringify!($SelfT), ".checked_shr(4), Some(0x1));
+assert_eq!(0x10", stringify!($SelfT), ".checked_shr(128), None);",
+$EndFeature, "
+```"),
+            #[stable(feature = "wrapping", since = "1.7.0")]
+            #[rustc_const_stable(feature = "const_checked_int_methods", since = "1.47.0")]
+            #[must_use = "this returns the result of the operation, \
+                          without modifying the original"]
+            #[inline]
+            pub const fn checked_shr(self, rhs: u32) -> Option<Self> {
+                let (a, b) = self.overflowing_shr(rhs);
+                if unlikely!(b) {None} else {Some(a)}
+            }
+        }
+
+        doc_comment! {
+            concat!("Checked absolute value. Computes `self.abs()`, returning `None` if
+`self == MIN`.
+
+# Examples
+
+Basic usage:
+
+```
+", $Feature, "
+assert_eq!((-5", stringify!($SelfT), ").checked_abs(), Some(5));
+assert_eq!(", stringify!($SelfT), "::MIN.checked_abs(), None);",
+$EndFeature, "
+```"),
+            #[stable(feature = "no_panic_abs", since = "1.13.0")]
+            #[rustc_const_stable(feature = "const_checked_int_methods", since = "1.47.0")]
+            #[inline]
+            pub const fn checked_abs(self) -> Option<Self> {
+                if self.is_negative() {
+                    self.checked_neg()
+                } else {
+                    Some(self)
+                }
+            }
+        }
+
+        doc_comment! {
+            concat!("Checked exponentiation. Computes `self.pow(exp)`, returning `None` if
+overflow occurred.
+
+# Examples
+
+Basic usage:
+
+```
+", $Feature, "assert_eq!(8", stringify!($SelfT), ".checked_pow(2), Some(64));
+assert_eq!(", stringify!($SelfT), "::MAX.checked_pow(2), None);",
+$EndFeature, "
+```"),
+
+            #[stable(feature = "no_panic_pow", since = "1.34.0")]
+            #[rustc_const_unstable(feature = "const_int_pow", issue = "53718")]
+            #[must_use = "this returns the result of the operation, \
+                          without modifying the original"]
+            #[inline]
+            pub const fn checked_pow(self, mut exp: u32) -> Option<Self> {
+                if exp == 0 {
+                    return Some(1);
+                }
+                let mut base = self;
+                let mut acc: Self = 1;
+
+                while exp > 1 {
+                    if (exp & 1) == 1 {
+                        acc = try_opt!(acc.checked_mul(base));
+                    }
+                    exp /= 2;
+                    base = try_opt!(base.checked_mul(base));
+                }
+                // since exp!=0, finally the exp must be 1.
+                // Deal with the final bit of the exponent separately, since
+                // squaring the base afterwards is not necessary and may cause a
+                // needless overflow.
+                Some(try_opt!(acc.checked_mul(base)))
+            }
+        }
+
+        doc_comment! {
+            concat!("Saturating integer addition. Computes `self + rhs`, saturating at the numeric
+bounds instead of overflowing.
+
+# Examples
+
+Basic usage:
+
+```
+", $Feature, "assert_eq!(100", stringify!($SelfT), ".saturating_add(1), 101);
+assert_eq!(", stringify!($SelfT), "::MAX.saturating_add(100), ", stringify!($SelfT),
+"::MAX);
+assert_eq!(", stringify!($SelfT), "::MIN.saturating_add(-1), ", stringify!($SelfT),
+"::MIN);",
+$EndFeature, "
+```"),
+
+            #[stable(feature = "rust1", since = "1.0.0")]
+            #[rustc_const_stable(feature = "const_saturating_int_methods", since = "1.47.0")]
+            #[must_use = "this returns the result of the operation, \
+                          without modifying the original"]
+            #[inline]
+            pub const fn saturating_add(self, rhs: Self) -> Self {
+                intrinsics::saturating_add(self, rhs)
+            }
+        }
+
+        doc_comment! {
+            concat!("Saturating integer subtraction. Computes `self - rhs`, saturating at the
+numeric bounds instead of overflowing.
+
+# Examples
+
+Basic usage:
+
+```
+", $Feature, "assert_eq!(100", stringify!($SelfT), ".saturating_sub(127), -27);
+assert_eq!(", stringify!($SelfT), "::MIN.saturating_sub(100), ", stringify!($SelfT),
+"::MIN);
+assert_eq!(", stringify!($SelfT), "::MAX.saturating_sub(-1), ", stringify!($SelfT),
+"::MAX);",
+$EndFeature, "
+```"),
+            #[stable(feature = "rust1", since = "1.0.0")]
+            #[rustc_const_stable(feature = "const_saturating_int_methods", since = "1.47.0")]
+            #[must_use = "this returns the result of the operation, \
+                          without modifying the original"]
+            #[inline]
+            pub const fn saturating_sub(self, rhs: Self) -> Self {
+                intrinsics::saturating_sub(self, rhs)
+            }
+        }
+
+        doc_comment! {
+            concat!("Saturating integer negation. Computes `-self`, returning `MAX` if `self == MIN`
+instead of overflowing.
+
+# Examples
+
+Basic usage:
+
+```
+", $Feature, "assert_eq!(100", stringify!($SelfT), ".saturating_neg(), -100);
+assert_eq!((-100", stringify!($SelfT), ").saturating_neg(), 100);
+assert_eq!(", stringify!($SelfT), "::MIN.saturating_neg(), ", stringify!($SelfT),
+"::MAX);
+assert_eq!(", stringify!($SelfT), "::MAX.saturating_neg(), ", stringify!($SelfT),
+"::MIN + 1);",
+$EndFeature, "
+```"),
+
+            #[stable(feature = "saturating_neg", since = "1.45.0")]
+            #[rustc_const_stable(feature = "const_saturating_int_methods", since = "1.47.0")]
+            #[inline]
+            pub const fn saturating_neg(self) -> Self {
+                intrinsics::saturating_sub(0, self)
+            }
+        }
+
+        doc_comment! {
+            concat!("Saturating absolute value. Computes `self.abs()`, returning `MAX` if `self ==
+MIN` instead of overflowing.
+
+# Examples
+
+Basic usage:
+
+```
+", $Feature, "assert_eq!(100", stringify!($SelfT), ".saturating_abs(), 100);
+assert_eq!((-100", stringify!($SelfT), ").saturating_abs(), 100);
+assert_eq!(", stringify!($SelfT), "::MIN.saturating_abs(), ", stringify!($SelfT),
+"::MAX);
+assert_eq!((", stringify!($SelfT), "::MIN + 1).saturating_abs(), ", stringify!($SelfT),
+"::MAX);",
+$EndFeature, "
+```"),
+
+            #[stable(feature = "saturating_neg", since = "1.45.0")]
+            #[rustc_const_stable(feature = "const_saturating_int_methods", since = "1.47.0")]
+            #[inline]
+            pub const fn saturating_abs(self) -> Self {
+                if self.is_negative() {
+                    self.saturating_neg()
+                } else {
+                    self
+                }
+            }
+        }
+
+        doc_comment! {
+            concat!("Saturating integer multiplication. Computes `self * rhs`, saturating at the
+numeric bounds instead of overflowing.
+
+# Examples
+
+Basic usage:
+
+```
+", $Feature, "
+assert_eq!(10", stringify!($SelfT), ".saturating_mul(12), 120);
+assert_eq!(", stringify!($SelfT), "::MAX.saturating_mul(10), ", stringify!($SelfT), "::MAX);
+assert_eq!(", stringify!($SelfT), "::MIN.saturating_mul(10), ", stringify!($SelfT), "::MIN);",
+$EndFeature, "
+```"),
+            #[stable(feature = "wrapping", since = "1.7.0")]
+            #[rustc_const_stable(feature = "const_saturating_int_methods", since = "1.47.0")]
+            #[must_use = "this returns the result of the operation, \
+                          without modifying the original"]
+            #[inline]
+            pub const fn saturating_mul(self, rhs: Self) -> Self {
+                match self.checked_mul(rhs) {
+                    Some(x) => x,
+                    None => if (self < 0) == (rhs < 0) {
+                        Self::MAX
+                    } else {
+                        Self::MIN
+                    }
+                }
+            }
+        }
+
+        doc_comment! {
+            concat!("Saturating integer exponentiation. Computes `self.pow(exp)`,
+saturating at the numeric bounds instead of overflowing.
+
+# Examples
+
+Basic usage:
+
+```
+", $Feature, "
+assert_eq!((-4", stringify!($SelfT), ").saturating_pow(3), -64);
+assert_eq!(", stringify!($SelfT), "::MIN.saturating_pow(2), ", stringify!($SelfT), "::MAX);
+assert_eq!(", stringify!($SelfT), "::MIN.saturating_pow(3), ", stringify!($SelfT), "::MIN);",
+$EndFeature, "
+```"),
+            #[stable(feature = "no_panic_pow", since = "1.34.0")]
+            #[rustc_const_unstable(feature = "const_int_pow", issue = "53718")]
+            #[must_use = "this returns the result of the operation, \
+                          without modifying the original"]
+            #[inline]
+            pub const fn saturating_pow(self, exp: u32) -> Self {
+                match self.checked_pow(exp) {
+                    Some(x) => x,
+                    None if self < 0 && exp % 2 == 1 => Self::MIN,
+                    None => Self::MAX,
+                }
+            }
+        }
+
+        doc_comment! {
+            concat!("Wrapping (modular) addition. Computes `self + rhs`, wrapping around at the
+boundary of the type.
+
+# Examples
+
+Basic usage:
+
+```
+", $Feature, "assert_eq!(100", stringify!($SelfT), ".wrapping_add(27), 127);
+assert_eq!(", stringify!($SelfT), "::MAX.wrapping_add(2), ", stringify!($SelfT),
+"::MIN + 1);",
+$EndFeature, "
+```"),
+            #[stable(feature = "rust1", since = "1.0.0")]
+            #[rustc_const_stable(feature = "const_int_methods", since = "1.32.0")]
+            #[must_use = "this returns the result of the operation, \
+                          without modifying the original"]
+            #[inline]
+            pub const fn wrapping_add(self, rhs: Self) -> Self {
+                intrinsics::wrapping_add(self, rhs)
+            }
+        }
+
+        doc_comment! {
+            concat!("Wrapping (modular) subtraction. Computes `self - rhs`, wrapping around at the
+boundary of the type.
+
+# Examples
+
+Basic usage:
+
+```
+", $Feature, "assert_eq!(0", stringify!($SelfT), ".wrapping_sub(127), -127);
+assert_eq!((-2", stringify!($SelfT), ").wrapping_sub(", stringify!($SelfT), "::MAX), ",
+stringify!($SelfT), "::MAX);",
+$EndFeature, "
+```"),
+            #[stable(feature = "rust1", since = "1.0.0")]
+            #[rustc_const_stable(feature = "const_int_methods", since = "1.32.0")]
+            #[must_use = "this returns the result of the operation, \
+                          without modifying the original"]
+            #[inline]
+            pub const fn wrapping_sub(self, rhs: Self) -> Self {
+                intrinsics::wrapping_sub(self, rhs)
+            }
+        }
+
+        doc_comment! {
+            concat!("Wrapping (modular) multiplication. Computes `self * rhs`, wrapping around at
+the boundary of the type.
+
+# Examples
+
+Basic usage:
+
+```
+", $Feature, "assert_eq!(10", stringify!($SelfT), ".wrapping_mul(12), 120);
+assert_eq!(11i8.wrapping_mul(12), -124);",
+$EndFeature, "
+```"),
+            #[stable(feature = "rust1", since = "1.0.0")]
+            #[rustc_const_stable(feature = "const_int_methods", since = "1.32.0")]
+            #[must_use = "this returns the result of the operation, \
+                          without modifying the original"]
+            #[inline]
+            pub const fn wrapping_mul(self, rhs: Self) -> Self {
+                intrinsics::wrapping_mul(self, rhs)
+            }
+        }
+
+        doc_comment! {
+            concat!("Wrapping (modular) division. Computes `self / rhs`, wrapping around at the
+boundary of the type.
+
+The only case where such wrapping can occur is when one divides `MIN / -1` on a signed type (where
+`MIN` is the negative minimal value for the type); this is equivalent to `-MIN`, a positive value
+that is too large to represent in the type. In such a case, this function returns `MIN` itself.
+
+# Panics
+
+This function will panic if `rhs` is 0.
+
+# Examples
+
+Basic usage:
+
+```
+", $Feature, "assert_eq!(100", stringify!($SelfT), ".wrapping_div(10), 10);
+assert_eq!((-128i8).wrapping_div(-1), -128);",
+$EndFeature, "
+```"),
+            #[stable(feature = "num_wrapping", since = "1.2.0")]
+            #[rustc_const_unstable(feature = "const_wrapping_int_methods", issue = "53718")]
+            #[must_use = "this returns the result of the operation, \
+                          without modifying the original"]
+            #[inline]
+            pub const fn wrapping_div(self, rhs: Self) -> Self {
+                self.overflowing_div(rhs).0
+            }
+        }
+
+        doc_comment! {
+            concat!("Wrapping Euclidean division. Computes `self.div_euclid(rhs)`,
+wrapping around at the boundary of the type.
+
+Wrapping will only occur in `MIN / -1` on a signed type (where `MIN` is the negative minimal value
+for the type). This is equivalent to `-MIN`, a positive value that is too large to represent in the
+type. In this case, this method returns `MIN` itself.
+
+# Panics
+
+This function will panic if `rhs` is 0.
+
+# Examples
+
+Basic usage:
+
+```
+assert_eq!(100", stringify!($SelfT), ".wrapping_div_euclid(10), 10);
+assert_eq!((-128i8).wrapping_div_euclid(-1), -128);
+```"),
+            #[stable(feature = "euclidean_division", since = "1.38.0")]
+            #[rustc_const_unstable(feature = "const_euclidean_int_methods", issue = "53718")]
+            #[must_use = "this returns the result of the operation, \
+                          without modifying the original"]
+            #[inline]
+            pub const fn wrapping_div_euclid(self, rhs: Self) -> Self {
+                self.overflowing_div_euclid(rhs).0
+            }
+        }
+
+        doc_comment! {
+            concat!("Wrapping (modular) remainder. Computes `self % rhs`, wrapping around at the
+boundary of the type.
+
+Such wrap-around never actually occurs mathematically; implementation artifacts make `x % y`
+invalid for `MIN / -1` on a signed type (where `MIN` is the negative minimal value). In such a case,
+this function returns `0`.
+
+# Panics
+
+This function will panic if `rhs` is 0.
+
+# Examples
+
+Basic usage:
+
+```
+", $Feature, "assert_eq!(100", stringify!($SelfT), ".wrapping_rem(10), 0);
+assert_eq!((-128i8).wrapping_rem(-1), 0);",
+$EndFeature, "
+```"),
+            #[stable(feature = "num_wrapping", since = "1.2.0")]
+            #[rustc_const_unstable(feature = "const_wrapping_int_methods", issue = "53718")]
+            #[must_use = "this returns the result of the operation, \
+                          without modifying the original"]
+            #[inline]
+            pub const fn wrapping_rem(self, rhs: Self) -> Self {
+                self.overflowing_rem(rhs).0
+            }
+        }
+
+        doc_comment! {
+            concat!("Wrapping Euclidean remainder. Computes `self.rem_euclid(rhs)`, wrapping around
+at the boundary of the type.
+
+Wrapping will only occur in `MIN % -1` on a signed type (where `MIN` is the negative minimal value
+for the type). In this case, this method returns 0.
+
+# Panics
+
+This function will panic if `rhs` is 0.
+
+# Examples
+
+Basic usage:
+
+```
+assert_eq!(100", stringify!($SelfT), ".wrapping_rem_euclid(10), 0);
+assert_eq!((-128i8).wrapping_rem_euclid(-1), 0);
+```"),
+            #[stable(feature = "euclidean_division", since = "1.38.0")]
+            #[rustc_const_unstable(feature = "const_euclidean_int_methods", issue = "53718")]
+            #[must_use = "this returns the result of the operation, \
+                          without modifying the original"]
+            #[inline]
+            pub const fn wrapping_rem_euclid(self, rhs: Self) -> Self {
+                self.overflowing_rem_euclid(rhs).0
+            }
+        }
+
+        doc_comment! {
+            concat!("Wrapping (modular) negation. Computes `-self`, wrapping around at the boundary
+of the type.
+
+The only case where such wrapping can occur is when one negates `MIN` on a signed type (where `MIN`
+is the negative minimal value for the type); this is a positive value that is too large to represent
+in the type. In such a case, this function returns `MIN` itself.
+
+# Examples
+
+Basic usage:
+
+```
+", $Feature, "assert_eq!(100", stringify!($SelfT), ".wrapping_neg(), -100);
+assert_eq!(", stringify!($SelfT), "::MIN.wrapping_neg(), ", stringify!($SelfT),
+"::MIN);",
+$EndFeature, "
+```"),
+            #[stable(feature = "num_wrapping", since = "1.2.0")]
+            #[rustc_const_stable(feature = "const_int_methods", since = "1.32.0")]
+            #[inline]
+            pub const fn wrapping_neg(self) -> Self {
+                self.overflowing_neg().0
+            }
+        }
+
+        doc_comment! {
+            concat!("Panic-free bitwise shift-left; yields `self << mask(rhs)`, where `mask` removes
+any high-order bits of `rhs` that would cause the shift to exceed the bitwidth of the type.
+
+Note that this is *not* the same as a rotate-left; the RHS of a wrapping shift-left is restricted to
+the range of the type, rather than the bits shifted out of the LHS being returned to the other end.
+The primitive integer types all implement a `[`rotate_left`](#method.rotate_left) function,
+which may be what you want instead.
+
+# Examples
+
+Basic usage:
+
+```
+", $Feature, "assert_eq!((-1", stringify!($SelfT), ").wrapping_shl(7), -128);
+assert_eq!((-1", stringify!($SelfT), ").wrapping_shl(128), -1);",
+$EndFeature, "
+```"),
+            #[stable(feature = "num_wrapping", since = "1.2.0")]
+            #[rustc_const_stable(feature = "const_int_methods", since = "1.32.0")]
+            #[must_use = "this returns the result of the operation, \
+                          without modifying the original"]
+            #[inline]
+            pub const fn wrapping_shl(self, rhs: u32) -> Self {
+                // SAFETY: the masking by the bitsize of the type ensures that we do not shift
+                // out of bounds
+                unsafe {
+                    intrinsics::unchecked_shl(self, (rhs & ($BITS - 1)) as $SelfT)
+                }
+            }
+        }
+
+        doc_comment! {
+            concat!("Panic-free bitwise shift-right; yields `self >> mask(rhs)`, where `mask`
+removes any high-order bits of `rhs` that would cause the shift to exceed the bitwidth of the type.
+
+Note that this is *not* the same as a rotate-right; the RHS of a wrapping shift-right is restricted
+to the range of the type, rather than the bits shifted out of the LHS being returned to the other
+end. The primitive integer types all implement a [`rotate_right`](#method.rotate_right) function,
+which may be what you want instead.
+
+# Examples
+
+Basic usage:
+
+```
+", $Feature, "assert_eq!((-128", stringify!($SelfT), ").wrapping_shr(7), -1);
+assert_eq!((-128i16).wrapping_shr(64), -128);",
+$EndFeature, "
+```"),
+            #[stable(feature = "num_wrapping", since = "1.2.0")]
+            #[rustc_const_stable(feature = "const_int_methods", since = "1.32.0")]
+            #[must_use = "this returns the result of the operation, \
+                          without modifying the original"]
+            #[inline]
+            pub const fn wrapping_shr(self, rhs: u32) -> Self {
+                // SAFETY: the masking by the bitsize of the type ensures that we do not shift
+                // out of bounds
+                unsafe {
+                    intrinsics::unchecked_shr(self, (rhs & ($BITS - 1)) as $SelfT)
+                }
+            }
+        }
+
+        doc_comment! {
+            concat!("Wrapping (modular) absolute value. Computes `self.abs()`, wrapping around at
+the boundary of the type.
+
+The only case where such wrapping can occur is when one takes the absolute value of the negative
+minimal value for the type this is a positive value that is too large to represent in the type. In
+such a case, this function returns `MIN` itself.
+
+# Examples
+
+Basic usage:
+
+```
+", $Feature, "assert_eq!(100", stringify!($SelfT), ".wrapping_abs(), 100);
+assert_eq!((-100", stringify!($SelfT), ").wrapping_abs(), 100);
+assert_eq!(", stringify!($SelfT), "::MIN.wrapping_abs(), ", stringify!($SelfT),
+"::MIN);
+assert_eq!((-128i8).wrapping_abs() as u8, 128);",
+$EndFeature, "
+```"),
+            #[stable(feature = "no_panic_abs", since = "1.13.0")]
+            #[rustc_const_stable(feature = "const_int_methods", since = "1.32.0")]
+            #[allow(unused_attributes)]
+            #[inline]
+            pub const fn wrapping_abs(self) -> Self {
+                 if self.is_negative() {
+                     self.wrapping_neg()
+                 } else {
+                     self
+                 }
+            }
+        }
+
+        doc_comment! {
+            concat!("Wrapping (modular) exponentiation. Computes `self.pow(exp)`,
+wrapping around at the boundary of the type.
+
+# Examples
+
+Basic usage:
+
+```
+", $Feature, "assert_eq!(3", stringify!($SelfT), ".wrapping_pow(4), 81);
+assert_eq!(3i8.wrapping_pow(5), -13);
+assert_eq!(3i8.wrapping_pow(6), -39);",
+$EndFeature, "
+```"),
+            #[stable(feature = "no_panic_pow", since = "1.34.0")]
+            #[rustc_const_unstable(feature = "const_int_pow", issue = "53718")]
+            #[must_use = "this returns the result of the operation, \
+                          without modifying the original"]
+            #[inline]
+            pub const fn wrapping_pow(self, mut exp: u32) -> Self {
+                if exp == 0 {
+                    return 1;
+                }
+                let mut base = self;
+                let mut acc: Self = 1;
+
+                while exp > 1 {
+                    if (exp & 1) == 1 {
+                        acc = acc.wrapping_mul(base);
+                    }
+                    exp /= 2;
+                    base = base.wrapping_mul(base);
+                }
+
+                // since exp!=0, finally the exp must be 1.
+                // Deal with the final bit of the exponent separately, since
+                // squaring the base afterwards is not necessary and may cause a
+                // needless overflow.
+                acc.wrapping_mul(base)
+            }
+        }
+
+        doc_comment! {
+            concat!("Calculates `self` + `rhs`
+
+Returns a tuple of the addition along with a boolean indicating whether an arithmetic overflow would
+occur. If an overflow would have occurred then the wrapped value is returned.
+
+# Examples
+
+Basic usage:
+
+```
+", $Feature, "
+assert_eq!(5", stringify!($SelfT), ".overflowing_add(2), (7, false));
+assert_eq!(", stringify!($SelfT), "::MAX.overflowing_add(1), (", stringify!($SelfT),
+"::MIN, true));", $EndFeature, "
+```"),
+            #[stable(feature = "wrapping", since = "1.7.0")]
+            #[rustc_const_stable(feature = "const_int_methods", since = "1.32.0")]
+            #[must_use = "this returns the result of the operation, \
+                          without modifying the original"]
+            #[inline]
+            pub const fn overflowing_add(self, rhs: Self) -> (Self, bool) {
+                let (a, b) = intrinsics::add_with_overflow(self as $ActualT, rhs as $ActualT);
+                (a as Self, b)
+            }
+        }
+
+        doc_comment! {
+            concat!("Calculates `self` - `rhs`
+
+Returns a tuple of the subtraction along with a boolean indicating whether an arithmetic overflow
+would occur. If an overflow would have occurred then the wrapped value is returned.
+
+# Examples
+
+Basic usage:
+
+```
+", $Feature, "
+assert_eq!(5", stringify!($SelfT), ".overflowing_sub(2), (3, false));
+assert_eq!(", stringify!($SelfT), "::MIN.overflowing_sub(1), (", stringify!($SelfT),
+"::MAX, true));", $EndFeature, "
+```"),
+            #[stable(feature = "wrapping", since = "1.7.0")]
+            #[rustc_const_stable(feature = "const_int_methods", since = "1.32.0")]
+            #[must_use = "this returns the result of the operation, \
+                          without modifying the original"]
+            #[inline]
+            pub const fn overflowing_sub(self, rhs: Self) -> (Self, bool) {
+                let (a, b) = intrinsics::sub_with_overflow(self as $ActualT, rhs as $ActualT);
+                (a as Self, b)
+            }
+        }
+
+        doc_comment! {
+            concat!("Calculates the multiplication of `self` and `rhs`.
+
+Returns a tuple of the multiplication along with a boolean indicating whether an arithmetic overflow
+would occur. If an overflow would have occurred then the wrapped value is returned.
+
+# Examples
+
+Basic usage:
+
+```
+", $Feature, "assert_eq!(5", stringify!($SelfT), ".overflowing_mul(2), (10, false));
+assert_eq!(1_000_000_000i32.overflowing_mul(10), (1410065408, true));",
+$EndFeature, "
+```"),
+            #[stable(feature = "wrapping", since = "1.7.0")]
+            #[rustc_const_stable(feature = "const_int_methods", since = "1.32.0")]
+            #[must_use = "this returns the result of the operation, \
+                          without modifying the original"]
+            #[inline]
+            pub const fn overflowing_mul(self, rhs: Self) -> (Self, bool) {
+                let (a, b) = intrinsics::mul_with_overflow(self as $ActualT, rhs as $ActualT);
+                (a as Self, b)
+            }
+        }
+
+        doc_comment! {
+            concat!("Calculates the divisor when `self` is divided by `rhs`.
+
+Returns a tuple of the divisor along with a boolean indicating whether an arithmetic overflow would
+occur. If an overflow would occur then self is returned.
+
+# Panics
+
+This function will panic if `rhs` is 0.
+
+# Examples
+
+Basic usage:
+
+```
+", $Feature, "
+assert_eq!(5", stringify!($SelfT), ".overflowing_div(2), (2, false));
+assert_eq!(", stringify!($SelfT), "::MIN.overflowing_div(-1), (", stringify!($SelfT),
+"::MIN, true));",
+$EndFeature, "
+```"),
+            #[inline]
+            #[stable(feature = "wrapping", since = "1.7.0")]
+            #[rustc_const_unstable(feature = "const_overflowing_int_methods", issue = "53718")]
+            #[must_use = "this returns the result of the operation, \
+                          without modifying the original"]
+            pub const fn overflowing_div(self, rhs: Self) -> (Self, bool) {
+                if unlikely!(self == Self::MIN && rhs == -1) {
+                    (self, true)
+                } else {
+                    (self / rhs, false)
+                }
+            }
+        }
+
+        doc_comment! {
+            concat!("Calculates the quotient of Euclidean division `self.div_euclid(rhs)`.
+
+Returns a tuple of the divisor along with a boolean indicating whether an arithmetic overflow would
+occur. If an overflow would occur then `self` is returned.
+
+# Panics
+
+This function will panic if `rhs` is 0.
+
+# Examples
+
+Basic usage:
+
+```
+assert_eq!(5", stringify!($SelfT), ".overflowing_div_euclid(2), (2, false));
+assert_eq!(", stringify!($SelfT), "::MIN.overflowing_div_euclid(-1), (", stringify!($SelfT),
+"::MIN, true));
+```"),
+            #[inline]
+            #[stable(feature = "euclidean_division", since = "1.38.0")]
+            #[rustc_const_unstable(feature = "const_euclidean_int_methods", issue = "53718")]
+            #[must_use = "this returns the result of the operation, \
+                          without modifying the original"]
+            pub const fn overflowing_div_euclid(self, rhs: Self) -> (Self, bool) {
+                if unlikely!(self == Self::MIN && rhs == -1) {
+                    (self, true)
+                } else {
+                    (self.div_euclid(rhs), false)
+                }
+            }
+        }
+
+        doc_comment! {
+            concat!("Calculates the remainder when `self` is divided by `rhs`.
+
+Returns a tuple of the remainder after dividing along with a boolean indicating whether an
+arithmetic overflow would occur. If an overflow would occur then 0 is returned.
+
+# Panics
+
+This function will panic if `rhs` is 0.
+
+# Examples
+
+Basic usage:
+
+```
+", $Feature, "
+assert_eq!(5", stringify!($SelfT), ".overflowing_rem(2), (1, false));
+assert_eq!(", stringify!($SelfT), "::MIN.overflowing_rem(-1), (0, true));",
+$EndFeature, "
+```"),
+            #[inline]
+            #[stable(feature = "wrapping", since = "1.7.0")]
+            #[rustc_const_unstable(feature = "const_overflowing_int_methods", issue = "53718")]
+            #[must_use = "this returns the result of the operation, \
+                          without modifying the original"]
+            pub const fn overflowing_rem(self, rhs: Self) -> (Self, bool) {
+                if unlikely!(self == Self::MIN && rhs == -1) {
+                    (0, true)
+                } else {
+                    (self % rhs, false)
+                }
+            }
+        }
+
+
+        doc_comment! {
+            concat!("Overflowing Euclidean remainder. Calculates `self.rem_euclid(rhs)`.
+
+Returns a tuple of the remainder after dividing along with a boolean indicating whether an
+arithmetic overflow would occur. If an overflow would occur then 0 is returned.
+
+# Panics
+
+This function will panic if `rhs` is 0.
+
+# Examples
+
+Basic usage:
+
+```
+assert_eq!(5", stringify!($SelfT), ".overflowing_rem_euclid(2), (1, false));
+assert_eq!(", stringify!($SelfT), "::MIN.overflowing_rem_euclid(-1), (0, true));
+```"),
+            #[stable(feature = "euclidean_division", since = "1.38.0")]
+            #[rustc_const_unstable(feature = "const_euclidean_int_methods", issue = "53718")]
+            #[must_use = "this returns the result of the operation, \
+                          without modifying the original"]
+            #[inline]
+            pub const fn overflowing_rem_euclid(self, rhs: Self) -> (Self, bool) {
+                if unlikely!(self == Self::MIN && rhs == -1) {
+                    (0, true)
+                } else {
+                    (self.rem_euclid(rhs), false)
+                }
+            }
+        }
+
+
+        doc_comment! {
+            concat!("Negates self, overflowing if this is equal to the minimum value.
+
+Returns a tuple of the negated version of self along with a boolean indicating whether an overflow
+happened. If `self` is the minimum value (e.g., `i32::MIN` for values of type `i32`), then the
+minimum value will be returned again and `true` will be returned for an overflow happening.
+
+# Examples
+
+Basic usage:
+
+```
+assert_eq!(2", stringify!($SelfT), ".overflowing_neg(), (-2, false));
+assert_eq!(", stringify!($SelfT), "::MIN.overflowing_neg(), (", stringify!($SelfT),
+"::MIN, true));", $EndFeature, "
+```"),
+            #[inline]
+            #[stable(feature = "wrapping", since = "1.7.0")]
+            #[rustc_const_stable(feature = "const_int_methods", since = "1.32.0")]
+            #[allow(unused_attributes)]
+            pub const fn overflowing_neg(self) -> (Self, bool) {
+                if unlikely!(self == Self::MIN) {
+                    (Self::MIN, true)
+                } else {
+                    (-self, false)
+                }
+            }
+        }
+
+        doc_comment! {
+            concat!("Shifts self left by `rhs` bits.
+
+Returns a tuple of the shifted version of self along with a boolean indicating whether the shift
+value was larger than or equal to the number of bits. If the shift value is too large, then value is
+masked (N-1) where N is the number of bits, and this value is then used to perform the shift.
+
+# Examples
+
+Basic usage:
+
+```
+", $Feature, "assert_eq!(0x1", stringify!($SelfT),".overflowing_shl(4), (0x10, false));
+assert_eq!(0x1i32.overflowing_shl(36), (0x10, true));",
+$EndFeature, "
+```"),
+            #[stable(feature = "wrapping", since = "1.7.0")]
+            #[rustc_const_stable(feature = "const_int_methods", since = "1.32.0")]
+            #[must_use = "this returns the result of the operation, \
+                          without modifying the original"]
+            #[inline]
+            pub const fn overflowing_shl(self, rhs: u32) -> (Self, bool) {
+                (self.wrapping_shl(rhs), (rhs > ($BITS - 1)))
+            }
+        }
+
+        doc_comment! {
+            concat!("Shifts self right by `rhs` bits.
+
+Returns a tuple of the shifted version of self along with a boolean indicating whether the shift
+value was larger than or equal to the number of bits. If the shift value is too large, then value is
+masked (N-1) where N is the number of bits, and this value is then used to perform the shift.
+
+# Examples
+
+Basic usage:
+
+```
+", $Feature, "assert_eq!(0x10", stringify!($SelfT), ".overflowing_shr(4), (0x1, false));
+assert_eq!(0x10i32.overflowing_shr(36), (0x1, true));",
+$EndFeature, "
+```"),
+            #[stable(feature = "wrapping", since = "1.7.0")]
+            #[rustc_const_stable(feature = "const_int_methods", since = "1.32.0")]
+            #[must_use = "this returns the result of the operation, \
+                          without modifying the original"]
+            #[inline]
+            pub const fn overflowing_shr(self, rhs: u32) -> (Self, bool) {
+                (self.wrapping_shr(rhs), (rhs > ($BITS - 1)))
+            }
+        }
+
+        doc_comment! {
+            concat!("Computes the absolute value of `self`.
+
+Returns a tuple of the absolute version of self along with a boolean indicating whether an overflow
+happened. If self is the minimum value (e.g., ", stringify!($SelfT), "::MIN for values of type
+ ", stringify!($SelfT), "), then the minimum value will be returned again and true will be returned
+for an overflow happening.
+
+# Examples
+
+Basic usage:
+
+```
+", $Feature, "assert_eq!(10", stringify!($SelfT), ".overflowing_abs(), (10, false));
+assert_eq!((-10", stringify!($SelfT), ").overflowing_abs(), (10, false));
+assert_eq!((", stringify!($SelfT), "::MIN).overflowing_abs(), (", stringify!($SelfT),
+"::MIN, true));",
+$EndFeature, "
+```"),
+            #[stable(feature = "no_panic_abs", since = "1.13.0")]
+            #[rustc_const_stable(feature = "const_int_methods", since = "1.32.0")]
+            #[inline]
+            pub const fn overflowing_abs(self) -> (Self, bool) {
+                (self.wrapping_abs(), self == Self::MIN)
+            }
+        }
+
+        doc_comment! {
+            concat!("Raises self to the power of `exp`, using exponentiation by squaring.
+
+Returns a tuple of the exponentiation along with a bool indicating
+whether an overflow happened.
+
+# Examples
+
+Basic usage:
+
+```
+", $Feature, "assert_eq!(3", stringify!($SelfT), ".overflowing_pow(4), (81, false));
+assert_eq!(3i8.overflowing_pow(5), (-13, true));",
+$EndFeature, "
+```"),
+            #[stable(feature = "no_panic_pow", since = "1.34.0")]
+            #[rustc_const_unstable(feature = "const_int_pow", issue = "53718")]
+            #[must_use = "this returns the result of the operation, \
+                          without modifying the original"]
+            #[inline]
+            pub const fn overflowing_pow(self, mut exp: u32) -> (Self, bool) {
+                if exp == 0 {
+                    return (1,false);
+                }
+                let mut base = self;
+                let mut acc: Self = 1;
+                let mut overflown = false;
+                // Scratch space for storing results of overflowing_mul.
+                let mut r;
+
+                while exp > 1 {
+                    if (exp & 1) == 1 {
+                        r = acc.overflowing_mul(base);
+                        acc = r.0;
+                        overflown |= r.1;
+                    }
+                    exp /= 2;
+                    r = base.overflowing_mul(base);
+                    base = r.0;
+                    overflown |= r.1;
+                }
+
+                // since exp!=0, finally the exp must be 1.
+                // Deal with the final bit of the exponent separately, since
+                // squaring the base afterwards is not necessary and may cause a
+                // needless overflow.
+                r = acc.overflowing_mul(base);
+                r.1 |= overflown;
+                r
+            }
+        }
+
+        doc_comment! {
+            concat!("Raises self to the power of `exp`, using exponentiation by squaring.
+
+# Examples
+
+Basic usage:
+
+```
+", $Feature, "let x: ", stringify!($SelfT), " = 2; // or any other integer type
+
+assert_eq!(x.pow(5), 32);",
+$EndFeature, "
+```"),
+            #[stable(feature = "rust1", since = "1.0.0")]
+            #[rustc_const_unstable(feature = "const_int_pow", issue = "53718")]
+            #[must_use = "this returns the result of the operation, \
+                          without modifying the original"]
+            #[inline]
+            #[rustc_inherit_overflow_checks]
+            pub const fn pow(self, mut exp: u32) -> Self {
+                if exp == 0 {
+                    return 1;
+                }
+                let mut base = self;
+                let mut acc = 1;
+
+                while exp > 1 {
+                    if (exp & 1) == 1 {
+                        acc = acc * base;
+                    }
+                    exp /= 2;
+                    base = base * base;
+                }
+
+                // since exp!=0, finally the exp must be 1.
+                // Deal with the final bit of the exponent separately, since
+                // squaring the base afterwards is not necessary and may cause a
+                // needless overflow.
+                acc * base
+            }
+        }
+
+        doc_comment! {
+            concat!("Calculates the quotient of Euclidean division of `self` by `rhs`.
+
+This computes the integer `n` such that `self = n * rhs + self.rem_euclid(rhs)`,
+with `0 <= self.rem_euclid(rhs) < rhs`.
+
+In other words, the result is `self / rhs` rounded to the integer `n`
+such that `self >= n * rhs`.
+If `self > 0`, this is equal to round towards zero (the default in Rust);
+if `self < 0`, this is equal to round towards +/- infinity.
+
+# Panics
+
+This function will panic if `rhs` is 0 or the division results in overflow.
+
+# Examples
+
+Basic usage:
+
+```
+let a: ", stringify!($SelfT), " = 7; // or any other integer type
+let b = 4;
+
+assert_eq!(a.div_euclid(b), 1); // 7 >= 4 * 1
+assert_eq!(a.div_euclid(-b), -1); // 7 >= -4 * -1
+assert_eq!((-a).div_euclid(b), -2); // -7 >= 4 * -2
+assert_eq!((-a).div_euclid(-b), 2); // -7 >= -4 * 2
+```"),
+            #[stable(feature = "euclidean_division", since = "1.38.0")]
+            #[rustc_const_unstable(feature = "const_euclidean_int_methods", issue = "53718")]
+            #[must_use = "this returns the result of the operation, \
+                          without modifying the original"]
+            #[inline]
+            #[rustc_inherit_overflow_checks]
+            pub const fn div_euclid(self, rhs: Self) -> Self {
+                let q = self / rhs;
+                if self % rhs < 0 {
+                    return if rhs > 0 { q - 1 } else { q + 1 }
+                }
+                q
+            }
+        }
+
+
+        doc_comment! {
+            concat!("Calculates the least nonnegative remainder of `self (mod rhs)`.
+
+This is done as if by the Euclidean division algorithm -- given
+`r = self.rem_euclid(rhs)`, `self = rhs * self.div_euclid(rhs) + r`, and
+`0 <= r < abs(rhs)`.
+
+# Panics
+
+This function will panic if `rhs` is 0 or the division results in overflow.
+
+# Examples
+
+Basic usage:
+
+```
+let a: ", stringify!($SelfT), " = 7; // or any other integer type
+let b = 4;
+
+assert_eq!(a.rem_euclid(b), 3);
+assert_eq!((-a).rem_euclid(b), 1);
+assert_eq!(a.rem_euclid(-b), 3);
+assert_eq!((-a).rem_euclid(-b), 1);
+```"),
+            #[stable(feature = "euclidean_division", since = "1.38.0")]
+            #[rustc_const_unstable(feature = "const_euclidean_int_methods", issue = "53718")]
+            #[must_use = "this returns the result of the operation, \
+                          without modifying the original"]
+            #[inline]
+            #[rustc_inherit_overflow_checks]
+            pub const fn rem_euclid(self, rhs: Self) -> Self {
+                let r = self % rhs;
+                if r < 0 {
+                    if rhs < 0 {
+                        r - rhs
+                    } else {
+                        r + rhs
+                    }
+                } else {
+                    r
+                }
+            }
+        }
+
+        doc_comment! {
+            concat!("Computes the absolute value of `self`.
+
+# Overflow behavior
+
+The absolute value of `", stringify!($SelfT), "::MIN` cannot be represented as an
+`", stringify!($SelfT), "`, and attempting to calculate it will cause an overflow. This means that
+code in debug mode will trigger a panic on this case and optimized code will return `",
+stringify!($SelfT), "::MIN` without a panic.
+
+# Examples
+
+Basic usage:
+
+```
+", $Feature, "assert_eq!(10", stringify!($SelfT), ".abs(), 10);
+assert_eq!((-10", stringify!($SelfT), ").abs(), 10);",
+$EndFeature, "
+```"),
+            #[stable(feature = "rust1", since = "1.0.0")]
+            #[rustc_const_stable(feature = "const_int_methods", since = "1.32.0")]
+            #[allow(unused_attributes)]
+            #[inline]
+            #[rustc_inherit_overflow_checks]
+            pub const fn abs(self) -> Self {
+                // Note that the #[inline] above means that the overflow
+                // semantics of the subtraction depend on the crate we're being
+                // inlined into.
+                if self.is_negative() {
+                    -self
+                } else {
+                    self
+                }
+            }
+        }
+
+        doc_comment! {
+            concat!("Returns a number representing sign of `self`.
+
+ - `0` if the number is zero
+ - `1` if the number is positive
+ - `-1` if the number is negative
+
+# Examples
+
+Basic usage:
+
+```
+", $Feature, "assert_eq!(10", stringify!($SelfT), ".signum(), 1);
+assert_eq!(0", stringify!($SelfT), ".signum(), 0);
+assert_eq!((-10", stringify!($SelfT), ").signum(), -1);",
+$EndFeature, "
+```"),
+            #[stable(feature = "rust1", since = "1.0.0")]
+            #[rustc_const_stable(feature = "const_int_sign", since = "1.47.0")]
+            #[inline]
+            pub const fn signum(self) -> Self {
+                match self {
+                    n if n > 0 =>  1,
+                    0          =>  0,
+                    _          => -1,
+                }
+            }
+        }
+
+        doc_comment! {
+            concat!("Returns `true` if `self` is positive and `false` if the number is zero or
+negative.
+
+# Examples
+
+Basic usage:
+
+```
+", $Feature, "assert!(10", stringify!($SelfT), ".is_positive());
+assert!(!(-10", stringify!($SelfT), ").is_positive());",
+$EndFeature, "
+```"),
+            #[stable(feature = "rust1", since = "1.0.0")]
+            #[rustc_const_stable(feature = "const_int_methods", since = "1.32.0")]
+            #[inline]
+            pub const fn is_positive(self) -> bool { self > 0 }
+        }
+
+        doc_comment! {
+            concat!("Returns `true` if `self` is negative and `false` if the number is zero or
+positive.
+
+# Examples
+
+Basic usage:
+
+```
+", $Feature, "assert!((-10", stringify!($SelfT), ").is_negative());
+assert!(!10", stringify!($SelfT), ".is_negative());",
+$EndFeature, "
+```"),
+            #[stable(feature = "rust1", since = "1.0.0")]
+            #[rustc_const_stable(feature = "const_int_methods", since = "1.32.0")]
+            #[inline]
+            pub const fn is_negative(self) -> bool { self < 0 }
+        }
+
+        doc_comment! {
+            concat!("Return the memory representation of this integer as a byte array in
+big-endian (network) byte order.
+",
+$to_xe_bytes_doc,
+"
+# Examples
+
+```
+let bytes = ", $swap_op, stringify!($SelfT), ".to_be_bytes();
+assert_eq!(bytes, ", $be_bytes, ");
+```"),
+            #[stable(feature = "int_to_from_bytes", since = "1.32.0")]
+            #[rustc_const_stable(feature = "const_int_conversion", since = "1.44.0")]
+            #[inline]
+            pub const fn to_be_bytes(self) -> [u8; mem::size_of::<Self>()] {
+                self.to_be().to_ne_bytes()
+            }
+        }
+
+doc_comment! {
+            concat!("Return the memory representation of this integer as a byte array in
+little-endian byte order.
+",
+$to_xe_bytes_doc,
+"
+# Examples
+
+```
+let bytes = ", $swap_op, stringify!($SelfT), ".to_le_bytes();
+assert_eq!(bytes, ", $le_bytes, ");
+```"),
+            #[stable(feature = "int_to_from_bytes", since = "1.32.0")]
+            #[rustc_const_stable(feature = "const_int_conversion", since = "1.44.0")]
+            #[inline]
+            pub const fn to_le_bytes(self) -> [u8; mem::size_of::<Self>()] {
+                self.to_le().to_ne_bytes()
+            }
+        }
+
+        doc_comment! {
+            concat!("
+Return the memory representation of this integer as a byte array in
+native byte order.
+
+As the target platform's native endianness is used, portable code
+should use [`to_be_bytes`] or [`to_le_bytes`], as appropriate,
+instead.
+",
+$to_xe_bytes_doc,
+"
+[`to_be_bytes`]: #method.to_be_bytes
+[`to_le_bytes`]: #method.to_le_bytes
+
+# Examples
+
+```
+let bytes = ", $swap_op, stringify!($SelfT), ".to_ne_bytes();
+assert_eq!(
+    bytes,
+    if cfg!(target_endian = \"big\") {
+        ", $be_bytes, "
+    } else {
+        ", $le_bytes, "
+    }
+);
+```"),
+            #[stable(feature = "int_to_from_bytes", since = "1.32.0")]
+            #[rustc_const_stable(feature = "const_int_conversion", since = "1.44.0")]
+            // SAFETY: const sound because integers are plain old datatypes so we can always
+            // transmute them to arrays of bytes
+            #[allow_internal_unstable(const_fn_union)]
+            #[inline]
+            pub const fn to_ne_bytes(self) -> [u8; mem::size_of::<Self>()] {
+                #[repr(C)]
+                union Bytes {
+                    val: $SelfT,
+                    bytes: [u8; mem::size_of::<$SelfT>()],
+                }
+                // SAFETY: integers are plain old datatypes so we can always transmute them to
+                // arrays of bytes
+                unsafe { Bytes { val: self }.bytes }
+            }
+        }
+
+doc_comment! {
+            concat!("Create an integer value from its representation as a byte array in
+big endian.
+",
+$from_xe_bytes_doc,
+"
+# Examples
+
+```
+let value = ", stringify!($SelfT), "::from_be_bytes(", $be_bytes, ");
+assert_eq!(value, ", $swap_op, ");
+```
+
+When starting from a slice rather than an array, fallible conversion APIs can be used:
+
+```
+use std::convert::TryInto;
+
+fn read_be_", stringify!($SelfT), "(input: &mut &[u8]) -> ", stringify!($SelfT), " {
+    let (int_bytes, rest) = input.split_at(std::mem::size_of::<", stringify!($SelfT), ">());
+    *input = rest;
+    ", stringify!($SelfT), "::from_be_bytes(int_bytes.try_into().unwrap())
+}
+```"),
+            #[stable(feature = "int_to_from_bytes", since = "1.32.0")]
+            #[rustc_const_stable(feature = "const_int_conversion", since = "1.44.0")]
+            #[inline]
+            pub const fn from_be_bytes(bytes: [u8; mem::size_of::<Self>()]) -> Self {
+                Self::from_be(Self::from_ne_bytes(bytes))
+            }
+        }
+
+doc_comment! {
+            concat!("
+Create an integer value from its representation as a byte array in
+little endian.
+",
+$from_xe_bytes_doc,
+"
+# Examples
+
+```
+let value = ", stringify!($SelfT), "::from_le_bytes(", $le_bytes, ");
+assert_eq!(value, ", $swap_op, ");
+```
+
+When starting from a slice rather than an array, fallible conversion APIs can be used:
+
+```
+use std::convert::TryInto;
+
+fn read_le_", stringify!($SelfT), "(input: &mut &[u8]) -> ", stringify!($SelfT), " {
+    let (int_bytes, rest) = input.split_at(std::mem::size_of::<", stringify!($SelfT), ">());
+    *input = rest;
+    ", stringify!($SelfT), "::from_le_bytes(int_bytes.try_into().unwrap())
+}
+```"),
+            #[stable(feature = "int_to_from_bytes", since = "1.32.0")]
+            #[rustc_const_stable(feature = "const_int_conversion", since = "1.44.0")]
+            #[inline]
+            pub const fn from_le_bytes(bytes: [u8; mem::size_of::<Self>()]) -> Self {
+                Self::from_le(Self::from_ne_bytes(bytes))
+            }
+        }
+
+        doc_comment! {
+            concat!("Create an integer value from its memory representation as a byte
+array in native endianness.
+
+As the target platform's native endianness is used, portable code
+likely wants to use [`from_be_bytes`] or [`from_le_bytes`], as
+appropriate instead.
+
+[`from_be_bytes`]: #method.from_be_bytes
+[`from_le_bytes`]: #method.from_le_bytes
+",
+$from_xe_bytes_doc,
+"
+# Examples
+
+```
+let value = ", stringify!($SelfT), "::from_ne_bytes(if cfg!(target_endian = \"big\") {
+    ", $be_bytes, "
+} else {
+    ", $le_bytes, "
+});
+assert_eq!(value, ", $swap_op, ");
+```
+
+When starting from a slice rather than an array, fallible conversion APIs can be used:
+
+```
+use std::convert::TryInto;
+
+fn read_ne_", stringify!($SelfT), "(input: &mut &[u8]) -> ", stringify!($SelfT), " {
+    let (int_bytes, rest) = input.split_at(std::mem::size_of::<", stringify!($SelfT), ">());
+    *input = rest;
+    ", stringify!($SelfT), "::from_ne_bytes(int_bytes.try_into().unwrap())
+}
+```"),
+            #[stable(feature = "int_to_from_bytes", since = "1.32.0")]
+            #[rustc_const_stable(feature = "const_int_conversion", since = "1.44.0")]
+            // SAFETY: const sound because integers are plain old datatypes so we can always
+            // transmute to them
+            #[allow_internal_unstable(const_fn_union)]
+            #[inline]
+            pub const fn from_ne_bytes(bytes: [u8; mem::size_of::<Self>()]) -> Self {
+                #[repr(C)]
+                union Bytes {
+                    val: $SelfT,
+                    bytes: [u8; mem::size_of::<$SelfT>()],
+                }
+                // SAFETY: integers are plain old datatypes so we can always transmute to them
+                unsafe { Bytes { bytes }.val }
+            }
+        }
+
+        doc_comment! {
+            concat!("**This method is soft-deprecated.**
+
+Although using it won’t cause compilation warning,
+new code should use [`", stringify!($SelfT), "::MIN", "`](#associatedconstant.MIN) instead.
+
+Returns the smallest value that can be represented by this integer type."),
+            #[stable(feature = "rust1", since = "1.0.0")]
+            #[inline(always)]
+            #[rustc_promotable]
+            #[rustc_const_stable(feature = "const_min_value", since = "1.32.0")]
+            pub const fn min_value() -> Self {
+                Self::MIN
+            }
+        }
+
+        doc_comment! {
+            concat!("**This method is soft-deprecated.**
+
+Although using it won’t cause compilation warning,
+new code should use [`", stringify!($SelfT), "::MAX", "`](#associatedconstant.MAX) instead.
+
+Returns the largest value that can be represented by this integer type."),
+            #[stable(feature = "rust1", since = "1.0.0")]
+            #[inline(always)]
+            #[rustc_promotable]
+            #[rustc_const_stable(feature = "const_max_value", since = "1.32.0")]
+            pub const fn max_value() -> Self {
+                Self::MAX
+            }
+        }
+    }
+}
+
+#[lang = "i8"]
+impl i8 {
+    int_impl! { i8, i8, u8, 8, -128, 127, "", "", 2, "-0x7e", "0xa", "0x12", "0x12", "0x48",
+    "[0x12]", "[0x12]", "", "" }
+}
+
+#[lang = "i16"]
+impl i16 {
+    int_impl! { i16, i16, u16, 16, -32768, 32767, "", "", 4, "-0x5ffd", "0x3a", "0x1234", "0x3412",
+    "0x2c48", "[0x34, 0x12]", "[0x12, 0x34]", "", "" }
+}
+
+#[lang = "i32"]
+impl i32 {
+    int_impl! { i32, i32, u32, 32, -2147483648, 2147483647, "", "", 8, "0x10000b3", "0xb301",
+    "0x12345678", "0x78563412", "0x1e6a2c48", "[0x78, 0x56, 0x34, 0x12]",
+    "[0x12, 0x34, 0x56, 0x78]", "", "" }
+}
+
+#[lang = "i64"]
+impl i64 {
+    int_impl! { i64, i64, u64, 64, -9223372036854775808, 9223372036854775807, "", "", 12,
+    "0xaa00000000006e1", "0x6e10aa", "0x1234567890123456", "0x5634129078563412",
+    "0x6a2c48091e6a2c48", "[0x56, 0x34, 0x12, 0x90, 0x78, 0x56, 0x34, 0x12]",
+    "[0x12, 0x34, 0x56, 0x78, 0x90, 0x12, 0x34, 0x56]", "", "" }
+}
+
+#[lang = "i128"]
+impl i128 {
+    int_impl! { i128, i128, u128, 128, -170141183460469231731687303715884105728,
+    170141183460469231731687303715884105727, "", "", 16,
+    "0x13f40000000000000000000000004f76", "0x4f7613f4", "0x12345678901234567890123456789012",
+    "0x12907856341290785634129078563412", "0x48091e6a2c48091e6a2c48091e6a2c48",
+    "[0x12, 0x90, 0x78, 0x56, 0x34, 0x12, 0x90, 0x78, \
+      0x56, 0x34, 0x12, 0x90, 0x78, 0x56, 0x34, 0x12]",
+    "[0x12, 0x34, 0x56, 0x78, 0x90, 0x12, 0x34, 0x56, \
+      0x78, 0x90, 0x12, 0x34, 0x56, 0x78, 0x90, 0x12]", "", "" }
+}
+
+#[cfg(target_pointer_width = "16")]
+#[lang = "isize"]
+impl isize {
+    int_impl! { isize, i16, u16, 16, -32768, 32767, "", "", 4, "-0x5ffd", "0x3a", "0x1234",
+    "0x3412", "0x2c48", "[0x34, 0x12]", "[0x12, 0x34]",
+    usize_isize_to_xe_bytes_doc!(), usize_isize_from_xe_bytes_doc!() }
+}
+
+#[cfg(target_pointer_width = "32")]
+#[lang = "isize"]
+impl isize {
+    int_impl! { isize, i32, u32, 32, -2147483648, 2147483647, "", "", 8, "0x10000b3", "0xb301",
+    "0x12345678", "0x78563412", "0x1e6a2c48", "[0x78, 0x56, 0x34, 0x12]",
+    "[0x12, 0x34, 0x56, 0x78]",
+    usize_isize_to_xe_bytes_doc!(), usize_isize_from_xe_bytes_doc!() }
+}
+
+#[cfg(target_pointer_width = "64")]
+#[lang = "isize"]
+impl isize {
+    int_impl! { isize, i64, u64, 64, -9223372036854775808, 9223372036854775807, "", "",
+    12, "0xaa00000000006e1", "0x6e10aa",  "0x1234567890123456", "0x5634129078563412",
+     "0x6a2c48091e6a2c48", "[0x56, 0x34, 0x12, 0x90, 0x78, 0x56, 0x34, 0x12]",
+     "[0x12, 0x34, 0x56, 0x78, 0x90, 0x12, 0x34, 0x56]",
+     usize_isize_to_xe_bytes_doc!(), usize_isize_from_xe_bytes_doc!() }
+}
+
+macro_rules! uint_impl {
+    ($SelfT:ty, $ActualT:ty, $BITS:expr, $MaxV:expr, $Feature:expr, $EndFeature:expr,
+        $rot:expr, $rot_op:expr, $rot_result:expr, $swap_op:expr, $swapped:expr,
+        $reversed:expr, $le_bytes:expr, $be_bytes:expr,
+        $to_xe_bytes_doc:expr, $from_xe_bytes_doc:expr) => {
+        doc_comment! {
+            concat!("The smallest value that can be represented by this integer type.
+
+# Examples
+
+Basic usage:
+
+```
+", $Feature, "assert_eq!(", stringify!($SelfT), "::MIN, 0);", $EndFeature, "
+```"),
+            #[stable(feature = "assoc_int_consts", since = "1.43.0")]
+            pub const MIN: Self = 0;
+        }
+
+        doc_comment! {
+            concat!("The largest value that can be represented by this integer type.
+
+# Examples
+
+Basic usage:
+
+```
+", $Feature, "assert_eq!(", stringify!($SelfT), "::MAX, ", stringify!($MaxV), ");",
+$EndFeature, "
+```"),
+            #[stable(feature = "assoc_int_consts", since = "1.43.0")]
+            pub const MAX: Self = !0;
+        }
+
+        doc_comment! {
+            concat!("Converts a string slice in a given base to an integer.
+
+The string is expected to be an optional `+` sign
+followed by digits.
+Leading and trailing whitespace represent an error.
+Digits are a subset of these characters, depending on `radix`:
+
+* `0-9`
+* `a-z`
+* `A-Z`
+
+# Panics
+
+This function panics if `radix` is not in the range from 2 to 36.
+
+# Examples
+
+Basic usage:
+
+```
+", $Feature, "assert_eq!(", stringify!($SelfT), "::from_str_radix(\"A\", 16), Ok(10));",
+$EndFeature, "
+```"),
+            #[stable(feature = "rust1", since = "1.0.0")]
+            pub fn from_str_radix(src: &str, radix: u32) -> Result<Self, ParseIntError> {
+                from_str_radix(src, radix)
+            }
+        }
+
+        doc_comment! {
+            concat!("Returns the number of ones in the binary representation of `self`.
+
+# Examples
+
+Basic usage:
+
+```
+", $Feature, "let n = 0b01001100", stringify!($SelfT), ";
+
+assert_eq!(n.count_ones(), 3);", $EndFeature, "
+```"),
+            #[stable(feature = "rust1", since = "1.0.0")]
+            #[rustc_const_stable(feature = "const_math", since = "1.32.0")]
+            #[inline]
+            pub const fn count_ones(self) -> u32 {
+                intrinsics::ctpop(self as $ActualT) as u32
+            }
+        }
+
+        doc_comment! {
+            concat!("Returns the number of zeros in the binary representation of `self`.
+
+# Examples
+
+Basic usage:
+
+```
+", $Feature, "assert_eq!(", stringify!($SelfT), "::MAX.count_zeros(), 0);", $EndFeature, "
+```"),
+            #[stable(feature = "rust1", since = "1.0.0")]
+            #[rustc_const_stable(feature = "const_math", since = "1.32.0")]
+            #[inline]
+            pub const fn count_zeros(self) -> u32 {
+                (!self).count_ones()
+            }
+        }
+
+        doc_comment! {
+            concat!("Returns the number of leading zeros in the binary representation of `self`.
+
+# Examples
+
+Basic usage:
+
+```
+", $Feature, "let n = ", stringify!($SelfT), "::MAX >> 2;
+
+assert_eq!(n.leading_zeros(), 2);", $EndFeature, "
+```"),
+            #[stable(feature = "rust1", since = "1.0.0")]
+            #[rustc_const_stable(feature = "const_math", since = "1.32.0")]
+            #[inline]
+            pub const fn leading_zeros(self) -> u32 {
+                intrinsics::ctlz(self as $ActualT) as u32
+            }
+        }
+
+        doc_comment! {
+            concat!("Returns the number of trailing zeros in the binary representation
+of `self`.
+
+# Examples
+
+Basic usage:
+
+```
+", $Feature, "let n = 0b0101000", stringify!($SelfT), ";
+
+assert_eq!(n.trailing_zeros(), 3);", $EndFeature, "
+```"),
+            #[stable(feature = "rust1", since = "1.0.0")]
+            #[rustc_const_stable(feature = "const_math", since = "1.32.0")]
+            #[inline]
+            pub const fn trailing_zeros(self) -> u32 {
+                intrinsics::cttz(self) as u32
+            }
+        }
+
+        doc_comment! {
+            concat!("Returns the number of leading ones in the binary representation of `self`.
+
+# Examples
+
+Basic usage:
+
+```
+", $Feature, "let n = !(", stringify!($SelfT), "::MAX >> 2);
+
+assert_eq!(n.leading_ones(), 2);", $EndFeature, "
+```"),
+            #[stable(feature = "leading_trailing_ones", since = "1.46.0")]
+            #[rustc_const_stable(feature = "leading_trailing_ones", since = "1.46.0")]
+            #[inline]
+            pub const fn leading_ones(self) -> u32 {
+                (!self).leading_zeros()
+            }
+        }
+
+        doc_comment! {
+            concat!("Returns the number of trailing ones in the binary representation
+of `self`.
+
+# Examples
+
+Basic usage:
+
+```
+", $Feature, "let n = 0b1010111", stringify!($SelfT), ";
+
+assert_eq!(n.trailing_ones(), 3);", $EndFeature, "
+```"),
+            #[stable(feature = "leading_trailing_ones", since = "1.46.0")]
+            #[rustc_const_stable(feature = "leading_trailing_ones", since = "1.46.0")]
+            #[inline]
+            pub const fn trailing_ones(self) -> u32 {
+                (!self).trailing_zeros()
+            }
+        }
+
+        doc_comment! {
+            concat!("Shifts the bits to the left by a specified amount, `n`,
+wrapping the truncated bits to the end of the resulting integer.
+
+Please note this isn't the same operation as the `<<` shifting operator!
+
+# Examples
+
+Basic usage:
+
+```
+let n = ", $rot_op, stringify!($SelfT), ";
+let m = ", $rot_result, ";
+
+assert_eq!(n.rotate_left(", $rot, "), m);
+```"),
+            #[stable(feature = "rust1", since = "1.0.0")]
+            #[rustc_const_stable(feature = "const_math", since = "1.32.0")]
+            #[must_use = "this returns the result of the operation, \
+                          without modifying the original"]
+            #[inline]
+            pub const fn rotate_left(self, n: u32) -> Self {
+                intrinsics::rotate_left(self, n as $SelfT)
+            }
+        }
+
+        doc_comment! {
+            concat!("Shifts the bits to the right by a specified amount, `n`,
+wrapping the truncated bits to the beginning of the resulting
+integer.
+
+Please note this isn't the same operation as the `>>` shifting operator!
+
+# Examples
+
+Basic usage:
+
+```
+let n = ", $rot_result, stringify!($SelfT), ";
+let m = ", $rot_op, ";
+
+assert_eq!(n.rotate_right(", $rot, "), m);
+```"),
+            #[stable(feature = "rust1", since = "1.0.0")]
+            #[rustc_const_stable(feature = "const_math", since = "1.32.0")]
+            #[must_use = "this returns the result of the operation, \
+                          without modifying the original"]
+            #[inline]
+            pub const fn rotate_right(self, n: u32) -> Self {
+                intrinsics::rotate_right(self, n as $SelfT)
+            }
+        }
+
+        doc_comment! {
+            concat!("
+Reverses the byte order of the integer.
+
+# Examples
+
+Basic usage:
+
+```
+let n = ", $swap_op, stringify!($SelfT), ";
+let m = n.swap_bytes();
+
+assert_eq!(m, ", $swapped, ");
+```"),
+            #[stable(feature = "rust1", since = "1.0.0")]
+            #[rustc_const_stable(feature = "const_math", since = "1.32.0")]
+            #[inline]
+            pub const fn swap_bytes(self) -> Self {
+                intrinsics::bswap(self as $ActualT) as Self
+            }
+        }
+
+        doc_comment! {
+            concat!("Reverses the bit pattern of the integer.
+
+# Examples
+
+Basic usage:
+
+```
+let n = ", $swap_op, stringify!($SelfT), ";
+let m = n.reverse_bits();
+
+assert_eq!(m, ", $reversed, ");
+```"),
+            #[stable(feature = "reverse_bits", since = "1.37.0")]
+            #[rustc_const_stable(feature = "const_math", since = "1.32.0")]
+            #[inline]
+            #[must_use]
+            pub const fn reverse_bits(self) -> Self {
+                intrinsics::bitreverse(self as $ActualT) as Self
+            }
+        }
+
+        doc_comment! {
+            concat!("Converts an integer from big endian to the target's endianness.
+
+On big endian this is a no-op. On little endian the bytes are
+swapped.
+
+# Examples
+
+Basic usage:
+
+```
+", $Feature, "let n = 0x1A", stringify!($SelfT), ";
+
+if cfg!(target_endian = \"big\") {
+    assert_eq!(", stringify!($SelfT), "::from_be(n), n)
+} else {
+    assert_eq!(", stringify!($SelfT), "::from_be(n), n.swap_bytes())
+}", $EndFeature, "
+```"),
+            #[stable(feature = "rust1", since = "1.0.0")]
+            #[rustc_const_stable(feature = "const_math", since = "1.32.0")]
+            #[inline]
+            pub const fn from_be(x: Self) -> Self {
+                #[cfg(target_endian = "big")]
+                {
+                    x
+                }
+                #[cfg(not(target_endian = "big"))]
+                {
+                    x.swap_bytes()
+                }
+            }
+        }
+
+        doc_comment! {
+            concat!("Converts an integer from little endian to the target's endianness.
+
+On little endian this is a no-op. On big endian the bytes are
+swapped.
+
+# Examples
+
+Basic usage:
+
+```
+", $Feature, "let n = 0x1A", stringify!($SelfT), ";
+
+if cfg!(target_endian = \"little\") {
+    assert_eq!(", stringify!($SelfT), "::from_le(n), n)
+} else {
+    assert_eq!(", stringify!($SelfT), "::from_le(n), n.swap_bytes())
+}", $EndFeature, "
+```"),
+            #[stable(feature = "rust1", since = "1.0.0")]
+            #[rustc_const_stable(feature = "const_math", since = "1.32.0")]
+            #[inline]
+            pub const fn from_le(x: Self) -> Self {
+                #[cfg(target_endian = "little")]
+                {
+                    x
+                }
+                #[cfg(not(target_endian = "little"))]
+                {
+                    x.swap_bytes()
+                }
+            }
+        }
+
+        doc_comment! {
+            concat!("Converts `self` to big endian from the target's endianness.
+
+On big endian this is a no-op. On little endian the bytes are
+swapped.
+
+# Examples
+
+Basic usage:
+
+```
+", $Feature, "let n = 0x1A", stringify!($SelfT), ";
+
+if cfg!(target_endian = \"big\") {
+    assert_eq!(n.to_be(), n)
+} else {
+    assert_eq!(n.to_be(), n.swap_bytes())
+}", $EndFeature, "
+```"),
+            #[stable(feature = "rust1", since = "1.0.0")]
+            #[rustc_const_stable(feature = "const_math", since = "1.32.0")]
+            #[inline]
+            pub const fn to_be(self) -> Self { // or not to be?
+                #[cfg(target_endian = "big")]
+                {
+                    self
+                }
+                #[cfg(not(target_endian = "big"))]
+                {
+                    self.swap_bytes()
+                }
+            }
+        }
+
+        doc_comment! {
+            concat!("Converts `self` to little endian from the target's endianness.
+
+On little endian this is a no-op. On big endian the bytes are
+swapped.
+
+# Examples
+
+Basic usage:
+
+```
+", $Feature, "let n = 0x1A", stringify!($SelfT), ";
+
+if cfg!(target_endian = \"little\") {
+    assert_eq!(n.to_le(), n)
+} else {
+    assert_eq!(n.to_le(), n.swap_bytes())
+}", $EndFeature, "
+```"),
+            #[stable(feature = "rust1", since = "1.0.0")]
+            #[rustc_const_stable(feature = "const_math", since = "1.32.0")]
+            #[inline]
+            pub const fn to_le(self) -> Self {
+                #[cfg(target_endian = "little")]
+                {
+                    self
+                }
+                #[cfg(not(target_endian = "little"))]
+                {
+                    self.swap_bytes()
+                }
+            }
+        }
+
+        doc_comment! {
+            concat!("Checked integer addition. Computes `self + rhs`, returning `None`
+if overflow occurred.
+
+# Examples
+
+Basic usage:
+
+```
+", $Feature, "assert_eq!((", stringify!($SelfT), "::MAX - 2).checked_add(1), ",
+"Some(", stringify!($SelfT), "::MAX - 1));
+assert_eq!((", stringify!($SelfT), "::MAX - 2).checked_add(3), None);", $EndFeature, "
+```"),
+            #[stable(feature = "rust1", since = "1.0.0")]
+            #[rustc_const_stable(feature = "const_checked_int_methods", since = "1.47.0")]
+            #[must_use = "this returns the result of the operation, \
+                          without modifying the original"]
+            #[inline]
+            pub const fn checked_add(self, rhs: Self) -> Option<Self> {
+                let (a, b) = self.overflowing_add(rhs);
+                if unlikely!(b) {None} else {Some(a)}
+            }
+        }
+
+        doc_comment! {
+            concat!("Unchecked integer addition. Computes `self + rhs`, assuming overflow
+cannot occur. This results in undefined behavior when `self + rhs > ", stringify!($SelfT),
+"::MAX` or `self + rhs < ", stringify!($SelfT), "::MIN`."),
+            #[unstable(
+                feature = "unchecked_math",
+                reason = "niche optimization path",
+                issue = "none",
+            )]
+            #[must_use = "this returns the result of the operation, \
+                          without modifying the original"]
+            #[inline]
+            pub unsafe fn unchecked_add(self, rhs: Self) -> Self {
+                // SAFETY: the caller must uphold the safety contract for
+                // `unchecked_add`.
+                unsafe { intrinsics::unchecked_add(self, rhs) }
+            }
+        }
+
+        doc_comment! {
+            concat!("Checked integer subtraction. Computes `self - rhs`, returning
+`None` if overflow occurred.
+
+# Examples
+
+Basic usage:
+
+```
+", $Feature, "assert_eq!(1", stringify!($SelfT), ".checked_sub(1), Some(0));
+assert_eq!(0", stringify!($SelfT), ".checked_sub(1), None);", $EndFeature, "
+```"),
+            #[stable(feature = "rust1", since = "1.0.0")]
+            #[rustc_const_stable(feature = "const_checked_int_methods", since = "1.47.0")]
+            #[must_use = "this returns the result of the operation, \
+                          without modifying the original"]
+            #[inline]
+            pub const fn checked_sub(self, rhs: Self) -> Option<Self> {
+                let (a, b) = self.overflowing_sub(rhs);
+                if unlikely!(b) {None} else {Some(a)}
+            }
+        }
+
+        doc_comment! {
+            concat!("Unchecked integer subtraction. Computes `self - rhs`, assuming overflow
+cannot occur. This results in undefined behavior when `self - rhs > ", stringify!($SelfT),
+"::MAX` or `self - rhs < ", stringify!($SelfT), "::MIN`."),
+            #[unstable(
+                feature = "unchecked_math",
+                reason = "niche optimization path",
+                issue = "none",
+            )]
+            #[must_use = "this returns the result of the operation, \
+                          without modifying the original"]
+            #[inline]
+            pub unsafe fn unchecked_sub(self, rhs: Self) -> Self {
+                // SAFETY: the caller must uphold the safety contract for
+                // `unchecked_sub`.
+                unsafe { intrinsics::unchecked_sub(self, rhs) }
+            }
+        }
+
+        doc_comment! {
+            concat!("Checked integer multiplication. Computes `self * rhs`, returning
+`None` if overflow occurred.
+
+# Examples
+
+Basic usage:
+
+```
+", $Feature, "assert_eq!(5", stringify!($SelfT), ".checked_mul(1), Some(5));
+assert_eq!(", stringify!($SelfT), "::MAX.checked_mul(2), None);", $EndFeature, "
+```"),
+            #[stable(feature = "rust1", since = "1.0.0")]
+            #[rustc_const_stable(feature = "const_checked_int_methods", since = "1.47.0")]
+            #[must_use = "this returns the result of the operation, \
+                          without modifying the original"]
+            #[inline]
+            pub const fn checked_mul(self, rhs: Self) -> Option<Self> {
+                let (a, b) = self.overflowing_mul(rhs);
+                if unlikely!(b) {None} else {Some(a)}
+            }
+        }
+
+        doc_comment! {
+            concat!("Unchecked integer multiplication. Computes `self * rhs`, assuming overflow
+cannot occur. This results in undefined behavior when `self * rhs > ", stringify!($SelfT),
+"::MAX` or `self * rhs < ", stringify!($SelfT), "::MIN`."),
+            #[unstable(
+                feature = "unchecked_math",
+                reason = "niche optimization path",
+                issue = "none",
+            )]
+            #[must_use = "this returns the result of the operation, \
+                          without modifying the original"]
+            #[inline]
+            pub unsafe fn unchecked_mul(self, rhs: Self) -> Self {
+                // SAFETY: the caller must uphold the safety contract for
+                // `unchecked_mul`.
+                unsafe { intrinsics::unchecked_mul(self, rhs) }
+            }
+        }
+
+        doc_comment! {
+            concat!("Checked integer division. Computes `self / rhs`, returning `None`
+if `rhs == 0`.
+
+# Examples
+
+Basic usage:
+
+```
+", $Feature, "assert_eq!(128", stringify!($SelfT), ".checked_div(2), Some(64));
+assert_eq!(1", stringify!($SelfT), ".checked_div(0), None);", $EndFeature, "
+```"),
+            #[stable(feature = "rust1", since = "1.0.0")]
+            #[rustc_const_unstable(feature = "const_checked_int_methods", issue = "53718")]
+            #[must_use = "this returns the result of the operation, \
+                          without modifying the original"]
+            #[inline]
+            pub const fn checked_div(self, rhs: Self) -> Option<Self> {
+                if unlikely!(rhs == 0) {
+                    None
+                } else {
+                    // SAFETY: div by zero has been checked above and unsigned types have no other
+                    // failure modes for division
+                    Some(unsafe { intrinsics::unchecked_div(self, rhs) })
+                }
+            }
+        }
+
+        doc_comment! {
+            concat!("Checked Euclidean division. Computes `self.div_euclid(rhs)`, returning `None`
+if `rhs == 0`.
+
+# Examples
+
+Basic usage:
+
+```
+assert_eq!(128", stringify!($SelfT), ".checked_div_euclid(2), Some(64));
+assert_eq!(1", stringify!($SelfT), ".checked_div_euclid(0), None);
+```"),
+            #[stable(feature = "euclidean_division", since = "1.38.0")]
+            #[rustc_const_unstable(feature = "const_euclidean_int_methods", issue = "53718")]
+            #[must_use = "this returns the result of the operation, \
+                          without modifying the original"]
+            #[inline]
+            pub const fn checked_div_euclid(self, rhs: Self) -> Option<Self> {
+                if unlikely!(rhs == 0) {
+                    None
+                } else {
+                    Some(self.div_euclid(rhs))
+                }
+            }
+        }
+
+
+        doc_comment! {
+            concat!("Checked integer remainder. Computes `self % rhs`, returning `None`
+if `rhs == 0`.
+
+# Examples
+
+Basic usage:
+
+```
+", $Feature, "assert_eq!(5", stringify!($SelfT), ".checked_rem(2), Some(1));
+assert_eq!(5", stringify!($SelfT), ".checked_rem(0), None);", $EndFeature, "
+```"),
+            #[stable(feature = "wrapping", since = "1.7.0")]
+            #[rustc_const_unstable(feature = "const_checked_int_methods", issue = "53718")]
+            #[must_use = "this returns the result of the operation, \
+                          without modifying the original"]
+            #[inline]
+            pub const fn checked_rem(self, rhs: Self) -> Option<Self> {
+                if unlikely!(rhs == 0) {
+                    None
+                } else {
+                    // SAFETY: div by zero has been checked above and unsigned types have no other
+                    // failure modes for division
+                    Some(unsafe { intrinsics::unchecked_rem(self, rhs) })
+                }
+            }
+        }
+
+        doc_comment! {
+            concat!("Checked Euclidean modulo. Computes `self.rem_euclid(rhs)`, returning `None`
+if `rhs == 0`.
+
+# Examples
+
+Basic usage:
+
+```
+assert_eq!(5", stringify!($SelfT), ".checked_rem_euclid(2), Some(1));
+assert_eq!(5", stringify!($SelfT), ".checked_rem_euclid(0), None);
+```"),
+            #[stable(feature = "euclidean_division", since = "1.38.0")]
+            #[rustc_const_unstable(feature = "const_euclidean_int_methods", issue = "53718")]
+            #[must_use = "this returns the result of the operation, \
+                          without modifying the original"]
+            #[inline]
+            pub const fn checked_rem_euclid(self, rhs: Self) -> Option<Self> {
+                if unlikely!(rhs == 0) {
+                    None
+                } else {
+                    Some(self.rem_euclid(rhs))
+                }
+            }
+        }
+
+        doc_comment! {
+            concat!("Checked negation. Computes `-self`, returning `None` unless `self ==
+0`.
+
+Note that negating any positive integer will overflow.
+
+# Examples
+
+Basic usage:
+
+```
+", $Feature, "assert_eq!(0", stringify!($SelfT), ".checked_neg(), Some(0));
+assert_eq!(1", stringify!($SelfT), ".checked_neg(), None);", $EndFeature, "
+```"),
+            #[stable(feature = "wrapping", since = "1.7.0")]
+            #[rustc_const_stable(feature = "const_checked_int_methods", since = "1.47.0")]
+            #[inline]
+            pub const fn checked_neg(self) -> Option<Self> {
+                let (a, b) = self.overflowing_neg();
+                if unlikely!(b) {None} else {Some(a)}
+            }
+        }
+
+        doc_comment! {
+            concat!("Checked shift left. Computes `self << rhs`, returning `None`
+if `rhs` is larger than or equal to the number of bits in `self`.
+
+# Examples
+
+Basic usage:
+
+```
+", $Feature, "assert_eq!(0x1", stringify!($SelfT), ".checked_shl(4), Some(0x10));
+assert_eq!(0x10", stringify!($SelfT), ".checked_shl(129), None);", $EndFeature, "
+```"),
+            #[stable(feature = "wrapping", since = "1.7.0")]
+            #[rustc_const_stable(feature = "const_checked_int_methods", since = "1.47.0")]
+            #[must_use = "this returns the result of the operation, \
+                          without modifying the original"]
+            #[inline]
+            pub const fn checked_shl(self, rhs: u32) -> Option<Self> {
+                let (a, b) = self.overflowing_shl(rhs);
+                if unlikely!(b) {None} else {Some(a)}
+            }
+        }
+
+        doc_comment! {
+            concat!("Checked shift right. Computes `self >> rhs`, returning `None`
+if `rhs` is larger than or equal to the number of bits in `self`.
+
+# Examples
+
+Basic usage:
+
+```
+", $Feature, "assert_eq!(0x10", stringify!($SelfT), ".checked_shr(4), Some(0x1));
+assert_eq!(0x10", stringify!($SelfT), ".checked_shr(129), None);", $EndFeature, "
+```"),
+            #[stable(feature = "wrapping", since = "1.7.0")]
+            #[rustc_const_stable(feature = "const_checked_int_methods", since = "1.47.0")]
+            #[must_use = "this returns the result of the operation, \
+                          without modifying the original"]
+            #[inline]
+            pub const fn checked_shr(self, rhs: u32) -> Option<Self> {
+                let (a, b) = self.overflowing_shr(rhs);
+                if unlikely!(b) {None} else {Some(a)}
+            }
+        }
+
+        doc_comment! {
+            concat!("Checked exponentiation. Computes `self.pow(exp)`, returning `None` if
+overflow occurred.
+
+# Examples
+
+Basic usage:
+
+```
+", $Feature, "assert_eq!(2", stringify!($SelfT), ".checked_pow(5), Some(32));
+assert_eq!(", stringify!($SelfT), "::MAX.checked_pow(2), None);", $EndFeature, "
+```"),
+            #[stable(feature = "no_panic_pow", since = "1.34.0")]
+            #[rustc_const_unstable(feature = "const_int_pow", issue = "53718")]
+            #[must_use = "this returns the result of the operation, \
+                          without modifying the original"]
+            #[inline]
+            pub const fn checked_pow(self, mut exp: u32) -> Option<Self> {
+                if exp == 0 {
+                    return Some(1);
+                }
+                let mut base = self;
+                let mut acc: Self = 1;
+
+                while exp > 1 {
+                    if (exp & 1) == 1 {
+                        acc = try_opt!(acc.checked_mul(base));
+                    }
+                    exp /= 2;
+                    base = try_opt!(base.checked_mul(base));
+                }
+
+                // since exp!=0, finally the exp must be 1.
+                // Deal with the final bit of the exponent separately, since
+                // squaring the base afterwards is not necessary and may cause a
+                // needless overflow.
+
+                Some(try_opt!(acc.checked_mul(base)))
+            }
+        }
+
+        doc_comment! {
+            concat!("Saturating integer addition. Computes `self + rhs`, saturating at
+the numeric bounds instead of overflowing.
+
+# Examples
+
+Basic usage:
+
+```
+", $Feature, "assert_eq!(100", stringify!($SelfT), ".saturating_add(1), 101);
+assert_eq!(", stringify!($SelfT), "::MAX.saturating_add(127), ", stringify!($SelfT), "::MAX);",
+$EndFeature, "
+```"),
+
+            #[stable(feature = "rust1", since = "1.0.0")]
+            #[must_use = "this returns the result of the operation, \
+                          without modifying the original"]
+            #[rustc_const_stable(feature = "const_saturating_int_methods", since = "1.47.0")]
+            #[inline]
+            pub const fn saturating_add(self, rhs: Self) -> Self {
+                intrinsics::saturating_add(self, rhs)
+            }
+        }
+
+        doc_comment! {
+            concat!("Saturating integer subtraction. Computes `self - rhs`, saturating
+at the numeric bounds instead of overflowing.
+
+# Examples
+
+Basic usage:
+
+```
+", $Feature, "assert_eq!(100", stringify!($SelfT), ".saturating_sub(27), 73);
+assert_eq!(13", stringify!($SelfT), ".saturating_sub(127), 0);", $EndFeature, "
+```"),
+            #[stable(feature = "rust1", since = "1.0.0")]
+            #[must_use = "this returns the result of the operation, \
+                          without modifying the original"]
+            #[rustc_const_stable(feature = "const_saturating_int_methods", since = "1.47.0")]
+            #[inline]
+            pub const fn saturating_sub(self, rhs: Self) -> Self {
+                intrinsics::saturating_sub(self, rhs)
+            }
+        }
+
+        doc_comment! {
+            concat!("Saturating integer multiplication. Computes `self * rhs`,
+saturating at the numeric bounds instead of overflowing.
+
+# Examples
+
+Basic usage:
+
+```
+", $Feature, "
+assert_eq!(2", stringify!($SelfT), ".saturating_mul(10), 20);
+assert_eq!((", stringify!($SelfT), "::MAX).saturating_mul(10), ", stringify!($SelfT),
+"::MAX);", $EndFeature, "
+```"),
+            #[stable(feature = "wrapping", since = "1.7.0")]
+            #[rustc_const_stable(feature = "const_saturating_int_methods", since = "1.47.0")]
+            #[must_use = "this returns the result of the operation, \
+                          without modifying the original"]
+            #[inline]
+            pub const fn saturating_mul(self, rhs: Self) -> Self {
+                match self.checked_mul(rhs) {
+                    Some(x) => x,
+                    None => Self::MAX,
+                }
+            }
+        }
+
+        doc_comment! {
+            concat!("Saturating integer exponentiation. Computes `self.pow(exp)`,
+saturating at the numeric bounds instead of overflowing.
+
+# Examples
+
+Basic usage:
+
+```
+", $Feature, "
+assert_eq!(4", stringify!($SelfT), ".saturating_pow(3), 64);
+assert_eq!(", stringify!($SelfT), "::MAX.saturating_pow(2), ", stringify!($SelfT), "::MAX);",
+$EndFeature, "
+```"),
+            #[stable(feature = "no_panic_pow", since = "1.34.0")]
+            #[rustc_const_unstable(feature = "const_int_pow", issue = "53718")]
+            #[must_use = "this returns the result of the operation, \
+                          without modifying the original"]
+            #[inline]
+            pub const fn saturating_pow(self, exp: u32) -> Self {
+                match self.checked_pow(exp) {
+                    Some(x) => x,
+                    None => Self::MAX,
+                }
+            }
+        }
+
+        doc_comment! {
+            concat!("Wrapping (modular) addition. Computes `self + rhs`,
+wrapping around at the boundary of the type.
+
+# Examples
+
+Basic usage:
+
+```
+", $Feature, "assert_eq!(200", stringify!($SelfT), ".wrapping_add(55), 255);
+assert_eq!(200", stringify!($SelfT), ".wrapping_add(", stringify!($SelfT), "::MAX), 199);",
+$EndFeature, "
+```"),
+            #[stable(feature = "rust1", since = "1.0.0")]
+            #[rustc_const_stable(feature = "const_wrapping_math", since = "1.32.0")]
+            #[must_use = "this returns the result of the operation, \
+                          without modifying the original"]
+            #[inline]
+            pub const fn wrapping_add(self, rhs: Self) -> Self {
+                intrinsics::wrapping_add(self, rhs)
+            }
+        }
+
+        doc_comment! {
+            concat!("Wrapping (modular) subtraction. Computes `self - rhs`,
+wrapping around at the boundary of the type.
+
+# Examples
+
+Basic usage:
+
+```
+", $Feature, "assert_eq!(100", stringify!($SelfT), ".wrapping_sub(100), 0);
+assert_eq!(100", stringify!($SelfT), ".wrapping_sub(", stringify!($SelfT), "::MAX), 101);",
+$EndFeature, "
+```"),
+            #[stable(feature = "rust1", since = "1.0.0")]
+            #[rustc_const_stable(feature = "const_wrapping_math", since = "1.32.0")]
+            #[must_use = "this returns the result of the operation, \
+                          without modifying the original"]
+            #[inline]
+            pub const fn wrapping_sub(self, rhs: Self) -> Self {
+                intrinsics::wrapping_sub(self, rhs)
+            }
+        }
+
+        /// Wrapping (modular) multiplication. Computes `self *
+        /// rhs`, wrapping around at the boundary of the type.
+        ///
+        /// # Examples
+        ///
+        /// Basic usage:
+        ///
+        /// Please note that this example is shared between integer types.
+        /// Which explains why `u8` is used here.
+        ///
+        /// ```
+        /// assert_eq!(10u8.wrapping_mul(12), 120);
+        /// assert_eq!(25u8.wrapping_mul(12), 44);
+        /// ```
+        #[stable(feature = "rust1", since = "1.0.0")]
+        #[rustc_const_stable(feature = "const_wrapping_math", since = "1.32.0")]
+        #[must_use = "this returns the result of the operation, \
+                          without modifying the original"]
+        #[inline]
+        pub const fn wrapping_mul(self, rhs: Self) -> Self {
+            intrinsics::wrapping_mul(self, rhs)
+        }
+
+        doc_comment! {
+            concat!("Wrapping (modular) division. Computes `self / rhs`.
+Wrapped division on unsigned types is just normal division.
+There's no way wrapping could ever happen.
+This function exists, so that all operations
+are accounted for in the wrapping operations.
+
+# Examples
+
+Basic usage:
+
+```
+", $Feature, "assert_eq!(100", stringify!($SelfT), ".wrapping_div(10), 10);", $EndFeature, "
+```"),
+            #[stable(feature = "num_wrapping", since = "1.2.0")]
+            #[rustc_const_unstable(feature = "const_wrapping_int_methods", issue = "53718")]
+            #[must_use = "this returns the result of the operation, \
+                          without modifying the original"]
+            #[inline]
+            pub const fn wrapping_div(self, rhs: Self) -> Self {
+                self / rhs
+            }
+        }
+
+        doc_comment! {
+            concat!("Wrapping Euclidean division. Computes `self.div_euclid(rhs)`.
+Wrapped division on unsigned types is just normal division.
+There's no way wrapping could ever happen.
+This function exists, so that all operations
+are accounted for in the wrapping operations.
+Since, for the positive integers, all common
+definitions of division are equal, this
+is exactly equal to `self.wrapping_div(rhs)`.
+
+# Examples
+
+Basic usage:
+
+```
+assert_eq!(100", stringify!($SelfT), ".wrapping_div_euclid(10), 10);
+```"),
+            #[stable(feature = "euclidean_division", since = "1.38.0")]
+            #[rustc_const_unstable(feature = "const_euclidean_int_methods", issue = "53718")]
+            #[must_use = "this returns the result of the operation, \
+                          without modifying the original"]
+            #[inline]
+            pub const fn wrapping_div_euclid(self, rhs: Self) -> Self {
+                self / rhs
+            }
+        }
+
+        doc_comment! {
+            concat!("Wrapping (modular) remainder. Computes `self % rhs`.
+Wrapped remainder calculation on unsigned types is
+just the regular remainder calculation.
+There's no way wrapping could ever happen.
+This function exists, so that all operations
+are accounted for in the wrapping operations.
+
+# Examples
+
+Basic usage:
+
+```
+", $Feature, "assert_eq!(100", stringify!($SelfT), ".wrapping_rem(10), 0);", $EndFeature, "
+```"),
+            #[stable(feature = "num_wrapping", since = "1.2.0")]
+            #[rustc_const_unstable(feature = "const_wrapping_int_methods", issue = "53718")]
+            #[must_use = "this returns the result of the operation, \
+                          without modifying the original"]
+            #[inline]
+            pub const fn wrapping_rem(self, rhs: Self) -> Self {
+                self % rhs
+            }
+        }
+
+        doc_comment! {
+            concat!("Wrapping Euclidean modulo. Computes `self.rem_euclid(rhs)`.
+Wrapped modulo calculation on unsigned types is
+just the regular remainder calculation.
+There's no way wrapping could ever happen.
+This function exists, so that all operations
+are accounted for in the wrapping operations.
+Since, for the positive integers, all common
+definitions of division are equal, this
+is exactly equal to `self.wrapping_rem(rhs)`.
+
+# Examples
+
+Basic usage:
+
+```
+assert_eq!(100", stringify!($SelfT), ".wrapping_rem_euclid(10), 0);
+```"),
+            #[stable(feature = "euclidean_division", since = "1.38.0")]
+            #[rustc_const_unstable(feature = "const_euclidean_int_methods", issue = "53718")]
+            #[must_use = "this returns the result of the operation, \
+                          without modifying the original"]
+            #[inline]
+            pub const fn wrapping_rem_euclid(self, rhs: Self) -> Self {
+                self % rhs
+            }
+        }
+
+        /// Wrapping (modular) negation. Computes `-self`,
+        /// wrapping around at the boundary of the type.
+        ///
+        /// Since unsigned types do not have negative equivalents
+        /// all applications of this function will wrap (except for `-0`).
+        /// For values smaller than the corresponding signed type's maximum
+        /// the result is the same as casting the corresponding signed value.
+        /// Any larger values are equivalent to `MAX + 1 - (val - MAX - 1)` where
+        /// `MAX` is the corresponding signed type's maximum.
+        ///
+        /// # Examples
+        ///
+        /// Basic usage:
+        ///
+        /// Please note that this example is shared between integer types.
+        /// Which explains why `i8` is used here.
+        ///
+        /// ```
+        /// assert_eq!(100i8.wrapping_neg(), -100);
+        /// assert_eq!((-128i8).wrapping_neg(), -128);
+        /// ```
+        #[stable(feature = "num_wrapping", since = "1.2.0")]
+        #[rustc_const_stable(feature = "const_wrapping_math", since = "1.32.0")]
+        #[inline]
+        pub const fn wrapping_neg(self) -> Self {
+            self.overflowing_neg().0
+        }
+
+        doc_comment! {
+            concat!("Panic-free bitwise shift-left; yields `self << mask(rhs)`,
+where `mask` removes any high-order bits of `rhs` that
+would cause the shift to exceed the bitwidth of the type.
+
+Note that this is *not* the same as a rotate-left; the
+RHS of a wrapping shift-left is restricted to the range
+of the type, rather than the bits shifted out of the LHS
+being returned to the other end. The primitive integer
+types all implement a [`rotate_left`](#method.rotate_left) function,
+which may be what you want instead.
+
+# Examples
+
+Basic usage:
+
+```
+", $Feature, "assert_eq!(1", stringify!($SelfT), ".wrapping_shl(7), 128);
+assert_eq!(1", stringify!($SelfT), ".wrapping_shl(128), 1);", $EndFeature, "
+```"),
+            #[stable(feature = "num_wrapping", since = "1.2.0")]
+            #[rustc_const_stable(feature = "const_wrapping_math", since = "1.32.0")]
+            #[must_use = "this returns the result of the operation, \
+                          without modifying the original"]
+            #[inline]
+            pub const fn wrapping_shl(self, rhs: u32) -> Self {
+                // SAFETY: the masking by the bitsize of the type ensures that we do not shift
+                // out of bounds
+                unsafe {
+                    intrinsics::unchecked_shl(self, (rhs & ($BITS - 1)) as $SelfT)
+                }
+            }
+        }
+
+        doc_comment! {
+            concat!("Panic-free bitwise shift-right; yields `self >> mask(rhs)`,
+where `mask` removes any high-order bits of `rhs` that
+would cause the shift to exceed the bitwidth of the type.
+
+Note that this is *not* the same as a rotate-right; the
+RHS of a wrapping shift-right is restricted to the range
+of the type, rather than the bits shifted out of the LHS
+being returned to the other end. The primitive integer
+types all implement a [`rotate_right`](#method.rotate_right) function,
+which may be what you want instead.
+
+# Examples
+
+Basic usage:
+
+```
+", $Feature, "assert_eq!(128", stringify!($SelfT), ".wrapping_shr(7), 1);
+assert_eq!(128", stringify!($SelfT), ".wrapping_shr(128), 128);", $EndFeature, "
+```"),
+            #[stable(feature = "num_wrapping", since = "1.2.0")]
+            #[rustc_const_stable(feature = "const_wrapping_math", since = "1.32.0")]
+            #[must_use = "this returns the result of the operation, \
+                          without modifying the original"]
+            #[inline]
+            pub const fn wrapping_shr(self, rhs: u32) -> Self {
+                // SAFETY: the masking by the bitsize of the type ensures that we do not shift
+                // out of bounds
+                unsafe {
+                    intrinsics::unchecked_shr(self, (rhs & ($BITS - 1)) as $SelfT)
+                }
+            }
+        }
+
+        doc_comment! {
+            concat!("Wrapping (modular) exponentiation. Computes `self.pow(exp)`,
+wrapping around at the boundary of the type.
+
+# Examples
+
+Basic usage:
+
+```
+", $Feature, "assert_eq!(3", stringify!($SelfT), ".wrapping_pow(5), 243);
+assert_eq!(3u8.wrapping_pow(6), 217);", $EndFeature, "
+```"),
+            #[stable(feature = "no_panic_pow", since = "1.34.0")]
+            #[rustc_const_unstable(feature = "const_int_pow", issue = "53718")]
+            #[must_use = "this returns the result of the operation, \
+                          without modifying the original"]
+            #[inline]
+            pub const fn wrapping_pow(self, mut exp: u32) -> Self {
+                if exp == 0 {
+                    return 1;
+                }
+                let mut base = self;
+                let mut acc: Self = 1;
+
+                while exp > 1 {
+                    if (exp & 1) == 1 {
+                        acc = acc.wrapping_mul(base);
+                    }
+                    exp /= 2;
+                    base = base.wrapping_mul(base);
+                }
+
+                // since exp!=0, finally the exp must be 1.
+                // Deal with the final bit of the exponent separately, since
+                // squaring the base afterwards is not necessary and may cause a
+                // needless overflow.
+                acc.wrapping_mul(base)
+            }
+        }
+
+        doc_comment! {
+            concat!("Calculates `self` + `rhs`
+
+Returns a tuple of the addition along with a boolean indicating
+whether an arithmetic overflow would occur. If an overflow would
+have occurred then the wrapped value is returned.
+
+# Examples
+
+Basic usage
+
+```
+", $Feature, "
+assert_eq!(5", stringify!($SelfT), ".overflowing_add(2), (7, false));
+assert_eq!(", stringify!($SelfT), "::MAX.overflowing_add(1), (0, true));", $EndFeature, "
+```"),
+            #[stable(feature = "wrapping", since = "1.7.0")]
+            #[rustc_const_stable(feature = "const_wrapping_math", since = "1.32.0")]
+            #[must_use = "this returns the result of the operation, \
+                          without modifying the original"]
+            #[inline]
+            pub const fn overflowing_add(self, rhs: Self) -> (Self, bool) {
+                let (a, b) = intrinsics::add_with_overflow(self as $ActualT, rhs as $ActualT);
+                (a as Self, b)
+            }
+        }
+
+        doc_comment! {
+            concat!("Calculates `self` - `rhs`
+
+Returns a tuple of the subtraction along with a boolean indicating
+whether an arithmetic overflow would occur. If an overflow would
+have occurred then the wrapped value is returned.
+
+# Examples
+
+Basic usage
+
+```
+", $Feature, "
+assert_eq!(5", stringify!($SelfT), ".overflowing_sub(2), (3, false));
+assert_eq!(0", stringify!($SelfT), ".overflowing_sub(1), (", stringify!($SelfT), "::MAX, true));",
+$EndFeature, "
+```"),
+            #[stable(feature = "wrapping", since = "1.7.0")]
+            #[rustc_const_stable(feature = "const_wrapping_math", since = "1.32.0")]
+            #[must_use = "this returns the result of the operation, \
+                          without modifying the original"]
+            #[inline]
+            pub const fn overflowing_sub(self, rhs: Self) -> (Self, bool) {
+                let (a, b) = intrinsics::sub_with_overflow(self as $ActualT, rhs as $ActualT);
+                (a as Self, b)
+            }
+        }
+
+        /// Calculates the multiplication of `self` and `rhs`.
+        ///
+        /// Returns a tuple of the multiplication along with a boolean
+        /// indicating whether an arithmetic overflow would occur. If an
+        /// overflow would have occurred then the wrapped value is returned.
+        ///
+        /// # Examples
+        ///
+        /// Basic usage:
+        ///
+        /// Please note that this example is shared between integer types.
+        /// Which explains why `u32` is used here.
+        ///
+        /// ```
+        /// assert_eq!(5u32.overflowing_mul(2), (10, false));
+        /// assert_eq!(1_000_000_000u32.overflowing_mul(10), (1410065408, true));
+        /// ```
+        #[stable(feature = "wrapping", since = "1.7.0")]
+        #[rustc_const_stable(feature = "const_wrapping_math", since = "1.32.0")]
+        #[must_use = "this returns the result of the operation, \
+                          without modifying the original"]
+        #[inline]
+        pub const fn overflowing_mul(self, rhs: Self) -> (Self, bool) {
+            let (a, b) = intrinsics::mul_with_overflow(self as $ActualT, rhs as $ActualT);
+            (a as Self, b)
+        }
+
+        doc_comment! {
+            concat!("Calculates the divisor when `self` is divided by `rhs`.
+
+Returns a tuple of the divisor along with a boolean indicating
+whether an arithmetic overflow would occur. Note that for unsigned
+integers overflow never occurs, so the second value is always
+`false`.
+
+# Panics
+
+This function will panic if `rhs` is 0.
+
+# Examples
+
+Basic usage
+
+```
+", $Feature, "assert_eq!(5", stringify!($SelfT), ".overflowing_div(2), (2, false));", $EndFeature, "
+```"),
+            #[inline]
+            #[stable(feature = "wrapping", since = "1.7.0")]
+            #[rustc_const_unstable(feature = "const_overflowing_int_methods", issue = "53718")]
+            #[must_use = "this returns the result of the operation, \
+                          without modifying the original"]
+            pub const fn overflowing_div(self, rhs: Self) -> (Self, bool) {
+                (self / rhs, false)
+            }
+        }
+
+        doc_comment! {
+            concat!("Calculates the quotient of Euclidean division `self.div_euclid(rhs)`.
+
+Returns a tuple of the divisor along with a boolean indicating
+whether an arithmetic overflow would occur. Note that for unsigned
+integers overflow never occurs, so the second value is always
+`false`.
+Since, for the positive integers, all common
+definitions of division are equal, this
+is exactly equal to `self.overflowing_div(rhs)`.
+
+# Panics
+
+This function will panic if `rhs` is 0.
+
+# Examples
+
+Basic usage
+
+```
+assert_eq!(5", stringify!($SelfT), ".overflowing_div_euclid(2), (2, false));
+```"),
+            #[inline]
+            #[stable(feature = "euclidean_division", since = "1.38.0")]
+            #[rustc_const_unstable(feature = "const_euclidean_int_methods", issue = "53718")]
+            #[must_use = "this returns the result of the operation, \
+                          without modifying the original"]
+            pub const fn overflowing_div_euclid(self, rhs: Self) -> (Self, bool) {
+                (self / rhs, false)
+            }
+        }
+
+        doc_comment! {
+            concat!("Calculates the remainder when `self` is divided by `rhs`.
+
+Returns a tuple of the remainder after dividing along with a boolean
+indicating whether an arithmetic overflow would occur. Note that for
+unsigned integers overflow never occurs, so the second value is
+always `false`.
+
+# Panics
+
+This function will panic if `rhs` is 0.
+
+# Examples
+
+Basic usage
+
+```
+", $Feature, "assert_eq!(5", stringify!($SelfT), ".overflowing_rem(2), (1, false));", $EndFeature, "
+```"),
+            #[inline]
+            #[stable(feature = "wrapping", since = "1.7.0")]
+            #[rustc_const_unstable(feature = "const_overflowing_int_methods", issue = "53718")]
+            #[must_use = "this returns the result of the operation, \
+                          without modifying the original"]
+            pub const fn overflowing_rem(self, rhs: Self) -> (Self, bool) {
+                (self % rhs, false)
+            }
+        }
+
+        doc_comment! {
+            concat!("Calculates the remainder `self.rem_euclid(rhs)` as if by Euclidean division.
+
+Returns a tuple of the modulo after dividing along with a boolean
+indicating whether an arithmetic overflow would occur. Note that for
+unsigned integers overflow never occurs, so the second value is
+always `false`.
+Since, for the positive integers, all common
+definitions of division are equal, this operation
+is exactly equal to `self.overflowing_rem(rhs)`.
+
+# Panics
+
+This function will panic if `rhs` is 0.
+
+# Examples
+
+Basic usage
+
+```
+assert_eq!(5", stringify!($SelfT), ".overflowing_rem_euclid(2), (1, false));
+```"),
+            #[inline]
+            #[stable(feature = "euclidean_division", since = "1.38.0")]
+            #[rustc_const_unstable(feature = "const_euclidean_int_methods", issue = "53718")]
+            #[must_use = "this returns the result of the operation, \
+                          without modifying the original"]
+            pub const fn overflowing_rem_euclid(self, rhs: Self) -> (Self, bool) {
+                (self % rhs, false)
+            }
+        }
+
+        doc_comment! {
+            concat!("Negates self in an overflowing fashion.
+
+Returns `!self + 1` using wrapping operations to return the value
+that represents the negation of this unsigned value. Note that for
+positive unsigned values overflow always occurs, but negating 0 does
+not overflow.
+
+# Examples
+
+Basic usage
+
+```
+", $Feature, "assert_eq!(0", stringify!($SelfT), ".overflowing_neg(), (0, false));
+assert_eq!(2", stringify!($SelfT), ".overflowing_neg(), (-2i32 as ", stringify!($SelfT),
+", true));", $EndFeature, "
+```"),
+            #[inline]
+            #[stable(feature = "wrapping", since = "1.7.0")]
+            #[rustc_const_stable(feature = "const_wrapping_math", since = "1.32.0")]
+            pub const fn overflowing_neg(self) -> (Self, bool) {
+                ((!self).wrapping_add(1), self != 0)
+            }
+        }
+
+        doc_comment! {
+            concat!("Shifts self left by `rhs` bits.
+
+Returns a tuple of the shifted version of self along with a boolean
+indicating whether the shift value was larger than or equal to the
+number of bits. If the shift value is too large, then value is
+masked (N-1) where N is the number of bits, and this value is then
+used to perform the shift.
+
+# Examples
+
+Basic usage
+
+```
+", $Feature, "assert_eq!(0x1", stringify!($SelfT), ".overflowing_shl(4), (0x10, false));
+assert_eq!(0x1", stringify!($SelfT), ".overflowing_shl(132), (0x10, true));", $EndFeature, "
+```"),
+            #[stable(feature = "wrapping", since = "1.7.0")]
+            #[rustc_const_stable(feature = "const_wrapping_math", since = "1.32.0")]
+            #[must_use = "this returns the result of the operation, \
+                          without modifying the original"]
+            #[inline]
+            pub const fn overflowing_shl(self, rhs: u32) -> (Self, bool) {
+                (self.wrapping_shl(rhs), (rhs > ($BITS - 1)))
+            }
+        }
+
+        doc_comment! {
+            concat!("Shifts self right by `rhs` bits.
+
+Returns a tuple of the shifted version of self along with a boolean
+indicating whether the shift value was larger than or equal to the
+number of bits. If the shift value is too large, then value is
+masked (N-1) where N is the number of bits, and this value is then
+used to perform the shift.
+
+# Examples
+
+Basic usage
+
+```
+", $Feature, "assert_eq!(0x10", stringify!($SelfT), ".overflowing_shr(4), (0x1, false));
+assert_eq!(0x10", stringify!($SelfT), ".overflowing_shr(132), (0x1, true));", $EndFeature, "
+```"),
+            #[stable(feature = "wrapping", since = "1.7.0")]
+            #[rustc_const_stable(feature = "const_wrapping_math", since = "1.32.0")]
+            #[must_use = "this returns the result of the operation, \
+                          without modifying the original"]
+            #[inline]
+            pub const fn overflowing_shr(self, rhs: u32) -> (Self, bool) {
+                (self.wrapping_shr(rhs), (rhs > ($BITS - 1)))
+            }
+        }
+
+        doc_comment! {
+            concat!("Raises self to the power of `exp`, using exponentiation by squaring.
+
+Returns a tuple of the exponentiation along with a bool indicating
+whether an overflow happened.
+
+# Examples
+
+Basic usage:
+
+```
+", $Feature, "assert_eq!(3", stringify!($SelfT), ".overflowing_pow(5), (243, false));
+assert_eq!(3u8.overflowing_pow(6), (217, true));", $EndFeature, "
+```"),
+            #[stable(feature = "no_panic_pow", since = "1.34.0")]
+            #[rustc_const_unstable(feature = "const_int_pow", issue = "53718")]
+            #[must_use = "this returns the result of the operation, \
+                          without modifying the original"]
+            #[inline]
+            pub const fn overflowing_pow(self, mut exp: u32) -> (Self, bool) {
+                if exp == 0{
+                    return (1,false);
+                }
+                let mut base = self;
+                let mut acc: Self = 1;
+                let mut overflown = false;
+                // Scratch space for storing results of overflowing_mul.
+                let mut r;
+
+                while exp > 1 {
+                    if (exp & 1) == 1 {
+                        r = acc.overflowing_mul(base);
+                        acc = r.0;
+                        overflown |= r.1;
+                    }
+                    exp /= 2;
+                    r = base.overflowing_mul(base);
+                    base = r.0;
+                    overflown |= r.1;
+                }
+
+                // since exp!=0, finally the exp must be 1.
+                // Deal with the final bit of the exponent separately, since
+                // squaring the base afterwards is not necessary and may cause a
+                // needless overflow.
+                r = acc.overflowing_mul(base);
+                r.1 |= overflown;
+
+                r
+            }
+        }
+
+        doc_comment! {
+            concat!("Raises self to the power of `exp`, using exponentiation by squaring.
+
+# Examples
+
+Basic usage:
+
+```
+", $Feature, "assert_eq!(2", stringify!($SelfT), ".pow(5), 32);", $EndFeature, "
+```"),
+        #[stable(feature = "rust1", since = "1.0.0")]
+        #[rustc_const_unstable(feature = "const_int_pow", issue = "53718")]
+        #[must_use = "this returns the result of the operation, \
+                          without modifying the original"]
+        #[inline]
+        #[rustc_inherit_overflow_checks]
+        pub const fn pow(self, mut exp: u32) -> Self {
+            if exp == 0 {
+                return 1;
+            }
+            let mut base = self;
+            let mut acc = 1;
+
+            while exp > 1 {
+                if (exp & 1) == 1 {
+                    acc = acc * base;
+                }
+                exp /= 2;
+                base = base * base;
+            }
+
+            // since exp!=0, finally the exp must be 1.
+            // Deal with the final bit of the exponent separately, since
+            // squaring the base afterwards is not necessary and may cause a
+            // needless overflow.
+            acc * base
+        }
+    }
+
+        doc_comment! {
+            concat!("Performs Euclidean division.
+
+Since, for the positive integers, all common
+definitions of division are equal, this
+is exactly equal to `self / rhs`.
+
+# Panics
+
+This function will panic if `rhs` is 0.
+
+# Examples
+
+Basic usage:
+
+```
+assert_eq!(7", stringify!($SelfT), ".div_euclid(4), 1); // or any other integer type
+```"),
+            #[stable(feature = "euclidean_division", since = "1.38.0")]
+            #[rustc_const_unstable(feature = "const_euclidean_int_methods", issue = "53718")]
+            #[must_use = "this returns the result of the operation, \
+                          without modifying the original"]
+            #[inline]
+            #[rustc_inherit_overflow_checks]
+            pub const fn div_euclid(self, rhs: Self) -> Self {
+                self / rhs
+            }
+        }
+
+
+        doc_comment! {
+            concat!("Calculates the least remainder of `self (mod rhs)`.
+
+Since, for the positive integers, all common
+definitions of division are equal, this
+is exactly equal to `self % rhs`.
+
+# Panics
+
+This function will panic if `rhs` is 0.
+
+# Examples
+
+Basic usage:
+
+```
+assert_eq!(7", stringify!($SelfT), ".rem_euclid(4), 3); // or any other integer type
+```"),
+            #[stable(feature = "euclidean_division", since = "1.38.0")]
+            #[rustc_const_unstable(feature = "const_euclidean_int_methods", issue = "53718")]
+            #[must_use = "this returns the result of the operation, \
+                          without modifying the original"]
+            #[inline]
+            #[rustc_inherit_overflow_checks]
+            pub const fn rem_euclid(self, rhs: Self) -> Self {
+                self % rhs
+            }
+        }
+
+        doc_comment! {
+            concat!("Returns `true` if and only if `self == 2^k` for some `k`.
+
+# Examples
+
+Basic usage:
+
+```
+", $Feature, "assert!(16", stringify!($SelfT), ".is_power_of_two());
+assert!(!10", stringify!($SelfT), ".is_power_of_two());", $EndFeature, "
+```"),
+            #[stable(feature = "rust1", since = "1.0.0")]
+            #[rustc_const_stable(feature = "const_is_power_of_two", since = "1.32.0")]
+            #[inline]
+            pub const fn is_power_of_two(self) -> bool {
+                self.count_ones() == 1
+            }
+        }
+
+        // Returns one less than next power of two.
+        // (For 8u8 next power of two is 8u8 and for 6u8 it is 8u8)
+        //
+        // 8u8.one_less_than_next_power_of_two() == 7
+        // 6u8.one_less_than_next_power_of_two() == 7
+        //
+        // This method cannot overflow, as in the `next_power_of_two`
+        // overflow cases it instead ends up returning the maximum value
+        // of the type, and can return 0 for 0.
+        #[inline]
+        #[rustc_const_unstable(feature = "const_int_pow", issue = "53718")]
+        const fn one_less_than_next_power_of_two(self) -> Self {
+            if self <= 1 { return 0; }
+
+            let p = self - 1;
+            // SAFETY: Because `p > 0`, it cannot consist entirely of leading zeros.
+            // That means the shift is always in-bounds, and some processors
+            // (such as intel pre-haswell) have more efficient ctlz
+            // intrinsics when the argument is non-zero.
+            let z = unsafe { intrinsics::ctlz_nonzero(p) };
+            <$SelfT>::MAX >> z
+        }
+
+        doc_comment! {
+            concat!("Returns the smallest power of two greater than or equal to `self`.
+
+When return value overflows (i.e., `self > (1 << (N-1))` for type
+`uN`), it panics in debug mode and return value is wrapped to 0 in
+release mode (the only situation in which method can return 0).
+
+# Examples
+
+Basic usage:
+
+```
+", $Feature, "assert_eq!(2", stringify!($SelfT), ".next_power_of_two(), 2);
+assert_eq!(3", stringify!($SelfT), ".next_power_of_two(), 4);", $EndFeature, "
+```"),
+            #[stable(feature = "rust1", since = "1.0.0")]
+            #[rustc_const_unstable(feature = "const_int_pow", issue = "53718")]
+            #[inline]
+            #[rustc_inherit_overflow_checks]
+            pub const fn next_power_of_two(self) -> Self {
+                self.one_less_than_next_power_of_two() + 1
+            }
+        }
+
+        doc_comment! {
+            concat!("Returns the smallest power of two greater than or equal to `n`. If
+the next power of two is greater than the type's maximum value,
+`None` is returned, otherwise the power of two is wrapped in `Some`.
+
+# Examples
+
+Basic usage:
+
+```
+", $Feature, "assert_eq!(2", stringify!($SelfT),
+".checked_next_power_of_two(), Some(2));
+assert_eq!(3", stringify!($SelfT), ".checked_next_power_of_two(), Some(4));
+assert_eq!(", stringify!($SelfT), "::MAX.checked_next_power_of_two(), None);",
+$EndFeature, "
+```"),
+            #[inline]
+            #[stable(feature = "rust1", since = "1.0.0")]
+            #[rustc_const_unstable(feature = "const_int_pow", issue = "53718")]
+            pub const fn checked_next_power_of_two(self) -> Option<Self> {
+                self.one_less_than_next_power_of_two().checked_add(1)
+            }
+        }
+
+        doc_comment! {
+            concat!("Returns the smallest power of two greater than or equal to `n`. If
+the next power of two is greater than the type's maximum value,
+the return value is wrapped to `0`.
+
+# Examples
+
+Basic usage:
+
+```
+#![feature(wrapping_next_power_of_two)]
+", $Feature, "
+assert_eq!(2", stringify!($SelfT), ".wrapping_next_power_of_two(), 2);
+assert_eq!(3", stringify!($SelfT), ".wrapping_next_power_of_two(), 4);
+assert_eq!(", stringify!($SelfT), "::MAX.wrapping_next_power_of_two(), 0);",
+$EndFeature, "
+```"),
+            #[unstable(feature = "wrapping_next_power_of_two", issue = "32463",
+                       reason = "needs decision on wrapping behaviour")]
+            #[rustc_const_unstable(feature = "const_int_pow", issue = "53718")]
+            pub const fn wrapping_next_power_of_two(self) -> Self {
+                self.one_less_than_next_power_of_two().wrapping_add(1)
+            }
+        }
+
+        doc_comment! {
+            concat!("Return the memory representation of this integer as a byte array in
+big-endian (network) byte order.
+",
+$to_xe_bytes_doc,
+"
+# Examples
+
+```
+let bytes = ", $swap_op, stringify!($SelfT), ".to_be_bytes();
+assert_eq!(bytes, ", $be_bytes, ");
+```"),
+            #[stable(feature = "int_to_from_bytes", since = "1.32.0")]
+            #[rustc_const_stable(feature = "const_int_conversion", since = "1.44.0")]
+            #[inline]
+            pub const fn to_be_bytes(self) -> [u8; mem::size_of::<Self>()] {
+                self.to_be().to_ne_bytes()
+            }
+        }
+
+        doc_comment! {
+            concat!("Return the memory representation of this integer as a byte array in
+little-endian byte order.
+",
+$to_xe_bytes_doc,
+"
+# Examples
+
+```
+let bytes = ", $swap_op, stringify!($SelfT), ".to_le_bytes();
+assert_eq!(bytes, ", $le_bytes, ");
+```"),
+            #[stable(feature = "int_to_from_bytes", since = "1.32.0")]
+            #[rustc_const_stable(feature = "const_int_conversion", since = "1.44.0")]
+            #[inline]
+            pub const fn to_le_bytes(self) -> [u8; mem::size_of::<Self>()] {
+                self.to_le().to_ne_bytes()
+            }
+        }
+
+        doc_comment! {
+            concat!("
+Return the memory representation of this integer as a byte array in
+native byte order.
+
+As the target platform's native endianness is used, portable code
+should use [`to_be_bytes`] or [`to_le_bytes`], as appropriate,
+instead.
+",
+$to_xe_bytes_doc,
+"
+[`to_be_bytes`]: #method.to_be_bytes
+[`to_le_bytes`]: #method.to_le_bytes
+
+# Examples
+
+```
+let bytes = ", $swap_op, stringify!($SelfT), ".to_ne_bytes();
+assert_eq!(
+    bytes,
+    if cfg!(target_endian = \"big\") {
+        ", $be_bytes, "
+    } else {
+        ", $le_bytes, "
+    }
+);
+```"),
+            #[stable(feature = "int_to_from_bytes", since = "1.32.0")]
+            #[rustc_const_stable(feature = "const_int_conversion", since = "1.44.0")]
+            // SAFETY: const sound because integers are plain old datatypes so we can always
+            // transmute them to arrays of bytes
+            #[allow_internal_unstable(const_fn_union)]
+            #[inline]
+            pub const fn to_ne_bytes(self) -> [u8; mem::size_of::<Self>()] {
+                #[repr(C)]
+                union Bytes {
+                    val: $SelfT,
+                    bytes: [u8; mem::size_of::<$SelfT>()],
+                }
+                // SAFETY: integers are plain old datatypes so we can always transmute them to
+                // arrays of bytes
+                unsafe { Bytes { val: self }.bytes }
+            }
+        }
+
+        doc_comment! {
+            concat!("Create an integer value from its representation as a byte array in
+big endian.
+",
+$from_xe_bytes_doc,
+"
+# Examples
+
+```
+let value = ", stringify!($SelfT), "::from_be_bytes(", $be_bytes, ");
+assert_eq!(value, ", $swap_op, ");
+```
+
+When starting from a slice rather than an array, fallible conversion APIs can be used:
+
+```
+use std::convert::TryInto;
+
+fn read_be_", stringify!($SelfT), "(input: &mut &[u8]) -> ", stringify!($SelfT), " {
+    let (int_bytes, rest) = input.split_at(std::mem::size_of::<", stringify!($SelfT), ">());
+    *input = rest;
+    ", stringify!($SelfT), "::from_be_bytes(int_bytes.try_into().unwrap())
+}
+```"),
+            #[stable(feature = "int_to_from_bytes", since = "1.32.0")]
+            #[rustc_const_stable(feature = "const_int_conversion", since = "1.44.0")]
+            #[inline]
+            pub const fn from_be_bytes(bytes: [u8; mem::size_of::<Self>()]) -> Self {
+                Self::from_be(Self::from_ne_bytes(bytes))
+            }
+        }
+
+        doc_comment! {
+            concat!("
+Create an integer value from its representation as a byte array in
+little endian.
+",
+$from_xe_bytes_doc,
+"
+# Examples
+
+```
+let value = ", stringify!($SelfT), "::from_le_bytes(", $le_bytes, ");
+assert_eq!(value, ", $swap_op, ");
+```
+
+When starting from a slice rather than an array, fallible conversion APIs can be used:
+
+```
+use std::convert::TryInto;
+
+fn read_le_", stringify!($SelfT), "(input: &mut &[u8]) -> ", stringify!($SelfT), " {
+    let (int_bytes, rest) = input.split_at(std::mem::size_of::<", stringify!($SelfT), ">());
+    *input = rest;
+    ", stringify!($SelfT), "::from_le_bytes(int_bytes.try_into().unwrap())
+}
+```"),
+            #[stable(feature = "int_to_from_bytes", since = "1.32.0")]
+            #[rustc_const_stable(feature = "const_int_conversion", since = "1.44.0")]
+            #[inline]
+            pub const fn from_le_bytes(bytes: [u8; mem::size_of::<Self>()]) -> Self {
+                Self::from_le(Self::from_ne_bytes(bytes))
+            }
+        }
+
+        doc_comment! {
+            concat!("Create an integer value from its memory representation as a byte
+array in native endianness.
+
+As the target platform's native endianness is used, portable code
+likely wants to use [`from_be_bytes`] or [`from_le_bytes`], as
+appropriate instead.
+
+[`from_be_bytes`]: #method.from_be_bytes
+[`from_le_bytes`]: #method.from_le_bytes
+",
+$from_xe_bytes_doc,
+"
+# Examples
+
+```
+let value = ", stringify!($SelfT), "::from_ne_bytes(if cfg!(target_endian = \"big\") {
+    ", $be_bytes, "
+} else {
+    ", $le_bytes, "
+});
+assert_eq!(value, ", $swap_op, ");
+```
+
+When starting from a slice rather than an array, fallible conversion APIs can be used:
+
+```
+use std::convert::TryInto;
+
+fn read_ne_", stringify!($SelfT), "(input: &mut &[u8]) -> ", stringify!($SelfT), " {
+    let (int_bytes, rest) = input.split_at(std::mem::size_of::<", stringify!($SelfT), ">());
+    *input = rest;
+    ", stringify!($SelfT), "::from_ne_bytes(int_bytes.try_into().unwrap())
+}
+```"),
+            #[stable(feature = "int_to_from_bytes", since = "1.32.0")]
+            #[rustc_const_stable(feature = "const_int_conversion", since = "1.44.0")]
+            // SAFETY: const sound because integers are plain old datatypes so we can always
+            // transmute to them
+            #[allow_internal_unstable(const_fn_union)]
+            #[inline]
+            pub const fn from_ne_bytes(bytes: [u8; mem::size_of::<Self>()]) -> Self {
+                #[repr(C)]
+                union Bytes {
+                    val: $SelfT,
+                    bytes: [u8; mem::size_of::<$SelfT>()],
+                }
+                // SAFETY: integers are plain old datatypes so we can always transmute to them
+                unsafe { Bytes { bytes }.val }
+            }
+        }
+
+        doc_comment! {
+            concat!("**This method is soft-deprecated.**
+
+Although using it won’t cause compilation warning,
+new code should use [`", stringify!($SelfT), "::MIN", "`](#associatedconstant.MIN) instead.
+
+Returns the smallest value that can be represented by this integer type."),
+            #[stable(feature = "rust1", since = "1.0.0")]
+            #[rustc_promotable]
+            #[inline(always)]
+            #[rustc_const_stable(feature = "const_max_value", since = "1.32.0")]
+            pub const fn min_value() -> Self { Self::MIN }
+        }
+
+        doc_comment! {
+            concat!("**This method is soft-deprecated.**
+
+Although using it won’t cause compilation warning,
+new code should use [`", stringify!($SelfT), "::MAX", "`](#associatedconstant.MAX) instead.
+
+Returns the largest value that can be represented by this integer type."),
+            #[stable(feature = "rust1", since = "1.0.0")]
+            #[rustc_promotable]
+            #[inline(always)]
+            #[rustc_const_stable(feature = "const_max_value", since = "1.32.0")]
+            pub const fn max_value() -> Self { Self::MAX }
+        }
+    }
+}
+
+#[lang = "u8"]
+impl u8 {
+    uint_impl! { u8, u8, 8, 255, "", "", 2, "0x82", "0xa", "0x12", "0x12", "0x48", "[0x12]",
+    "[0x12]", "", "" }
+
+    /// Checks if the value is within the ASCII range.
+    ///
+    /// # Examples
+    ///
+    /// ```
+    /// let ascii = 97u8;
+    /// let non_ascii = 150u8;
+    ///
+    /// assert!(ascii.is_ascii());
+    /// assert!(!non_ascii.is_ascii());
+    /// ```
+    #[stable(feature = "ascii_methods_on_intrinsics", since = "1.23.0")]
+    #[rustc_const_stable(feature = "const_ascii_methods_on_intrinsics", since = "1.43.0")]
+    #[inline]
+    pub const fn is_ascii(&self) -> bool {
+        *self & 128 == 0
+    }
+
+    /// Makes a copy of the value in its ASCII upper case equivalent.
+    ///
+    /// ASCII letters 'a' to 'z' are mapped to 'A' to 'Z',
+    /// but non-ASCII letters are unchanged.
+    ///
+    /// To uppercase the value in-place, use [`make_ascii_uppercase`].
+    ///
+    /// # Examples
+    ///
+    /// ```
+    /// let lowercase_a = 97u8;
+    ///
+    /// assert_eq!(65, lowercase_a.to_ascii_uppercase());
+    /// ```
+    ///
+    /// [`make_ascii_uppercase`]: #method.make_ascii_uppercase
+    #[stable(feature = "ascii_methods_on_intrinsics", since = "1.23.0")]
+    #[inline]
+    pub fn to_ascii_uppercase(&self) -> u8 {
+        // Unset the fifth bit if this is a lowercase letter
+        *self & !((self.is_ascii_lowercase() as u8) << 5)
+    }
+
+    /// Makes a copy of the value in its ASCII lower case equivalent.
+    ///
+    /// ASCII letters 'A' to 'Z' are mapped to 'a' to 'z',
+    /// but non-ASCII letters are unchanged.
+    ///
+    /// To lowercase the value in-place, use [`make_ascii_lowercase`].
+    ///
+    /// # Examples
+    ///
+    /// ```
+    /// let uppercase_a = 65u8;
+    ///
+    /// assert_eq!(97, uppercase_a.to_ascii_lowercase());
+    /// ```
+    ///
+    /// [`make_ascii_lowercase`]: #method.make_ascii_lowercase
+    #[stable(feature = "ascii_methods_on_intrinsics", since = "1.23.0")]
+    #[inline]
+    pub fn to_ascii_lowercase(&self) -> u8 {
+        // Set the fifth bit if this is an uppercase letter
+        *self | ((self.is_ascii_uppercase() as u8) << 5)
+    }
+
+    /// Checks that two values are an ASCII case-insensitive match.
+    ///
+    /// This is equivalent to `to_ascii_lowercase(a) == to_ascii_lowercase(b)`.
+    ///
+    /// # Examples
+    ///
+    /// ```
+    /// let lowercase_a = 97u8;
+    /// let uppercase_a = 65u8;
+    ///
+    /// assert!(lowercase_a.eq_ignore_ascii_case(&uppercase_a));
+    /// ```
+    #[stable(feature = "ascii_methods_on_intrinsics", since = "1.23.0")]
+    #[inline]
+    pub fn eq_ignore_ascii_case(&self, other: &u8) -> bool {
+        self.to_ascii_lowercase() == other.to_ascii_lowercase()
+    }
+
+    /// Converts this value to its ASCII upper case equivalent in-place.
+    ///
+    /// ASCII letters 'a' to 'z' are mapped to 'A' to 'Z',
+    /// but non-ASCII letters are unchanged.
+    ///
+    /// To return a new uppercased value without modifying the existing one, use
+    /// [`to_ascii_uppercase`].
+    ///
+    /// # Examples
+    ///
+    /// ```
+    /// let mut byte = b'a';
+    ///
+    /// byte.make_ascii_uppercase();
+    ///
+    /// assert_eq!(b'A', byte);
+    /// ```
+    ///
+    /// [`to_ascii_uppercase`]: #method.to_ascii_uppercase
+    #[stable(feature = "ascii_methods_on_intrinsics", since = "1.23.0")]
+    #[inline]
+    pub fn make_ascii_uppercase(&mut self) {
+        *self = self.to_ascii_uppercase();
+    }
+
+    /// Converts this value to its ASCII lower case equivalent in-place.
+    ///
+    /// ASCII letters 'A' to 'Z' are mapped to 'a' to 'z',
+    /// but non-ASCII letters are unchanged.
+    ///
+    /// To return a new lowercased value without modifying the existing one, use
+    /// [`to_ascii_lowercase`].
+    ///
+    /// # Examples
+    ///
+    /// ```
+    /// let mut byte = b'A';
+    ///
+    /// byte.make_ascii_lowercase();
+    ///
+    /// assert_eq!(b'a', byte);
+    /// ```
+    ///
+    /// [`to_ascii_lowercase`]: #method.to_ascii_lowercase
+    #[stable(feature = "ascii_methods_on_intrinsics", since = "1.23.0")]
+    #[inline]
+    pub fn make_ascii_lowercase(&mut self) {
+        *self = self.to_ascii_lowercase();
+    }
+
+    /// Checks if the value is an ASCII alphabetic character:
+    ///
+    /// - U+0041 'A' ..= U+005A 'Z', or
+    /// - U+0061 'a' ..= U+007A 'z'.
+    ///
+    /// # Examples
+    ///
+    /// ```
+    /// let uppercase_a = b'A';
+    /// let uppercase_g = b'G';
+    /// let a = b'a';
+    /// let g = b'g';
+    /// let zero = b'0';
+    /// let percent = b'%';
+    /// let space = b' ';
+    /// let lf = b'\n';
+    /// let esc = 0x1b_u8;
+    ///
+    /// assert!(uppercase_a.is_ascii_alphabetic());
+    /// assert!(uppercase_g.is_ascii_alphabetic());
+    /// assert!(a.is_ascii_alphabetic());
+    /// assert!(g.is_ascii_alphabetic());
+    /// assert!(!zero.is_ascii_alphabetic());
+    /// assert!(!percent.is_ascii_alphabetic());
+    /// assert!(!space.is_ascii_alphabetic());
+    /// assert!(!lf.is_ascii_alphabetic());
+    /// assert!(!esc.is_ascii_alphabetic());
+    /// ```
+    #[stable(feature = "ascii_ctype_on_intrinsics", since = "1.24.0")]
+    #[rustc_const_stable(feature = "const_ascii_ctype_on_intrinsics", since = "1.47.0")]
+    #[inline]
+    pub const fn is_ascii_alphabetic(&self) -> bool {
+        matches!(*self, b'A'..=b'Z' | b'a'..=b'z')
+    }
+
+    /// Checks if the value is an ASCII uppercase character:
+    /// U+0041 'A' ..= U+005A 'Z'.
+    ///
+    /// # Examples
+    ///
+    /// ```
+    /// let uppercase_a = b'A';
+    /// let uppercase_g = b'G';
+    /// let a = b'a';
+    /// let g = b'g';
+    /// let zero = b'0';
+    /// let percent = b'%';
+    /// let space = b' ';
+    /// let lf = b'\n';
+    /// let esc = 0x1b_u8;
+    ///
+    /// assert!(uppercase_a.is_ascii_uppercase());
+    /// assert!(uppercase_g.is_ascii_uppercase());
+    /// assert!(!a.is_ascii_uppercase());
+    /// assert!(!g.is_ascii_uppercase());
+    /// assert!(!zero.is_ascii_uppercase());
+    /// assert!(!percent.is_ascii_uppercase());
+    /// assert!(!space.is_ascii_uppercase());
+    /// assert!(!lf.is_ascii_uppercase());
+    /// assert!(!esc.is_ascii_uppercase());
+    /// ```
+    #[stable(feature = "ascii_ctype_on_intrinsics", since = "1.24.0")]
+    #[rustc_const_stable(feature = "const_ascii_ctype_on_intrinsics", since = "1.47.0")]
+    #[inline]
+    pub const fn is_ascii_uppercase(&self) -> bool {
+        matches!(*self, b'A'..=b'Z')
+    }
+
+    /// Checks if the value is an ASCII lowercase character:
+    /// U+0061 'a' ..= U+007A 'z'.
+    ///
+    /// # Examples
+    ///
+    /// ```
+    /// let uppercase_a = b'A';
+    /// let uppercase_g = b'G';
+    /// let a = b'a';
+    /// let g = b'g';
+    /// let zero = b'0';
+    /// let percent = b'%';
+    /// let space = b' ';
+    /// let lf = b'\n';
+    /// let esc = 0x1b_u8;
+    ///
+    /// assert!(!uppercase_a.is_ascii_lowercase());
+    /// assert!(!uppercase_g.is_ascii_lowercase());
+    /// assert!(a.is_ascii_lowercase());
+    /// assert!(g.is_ascii_lowercase());
+    /// assert!(!zero.is_ascii_lowercase());
+    /// assert!(!percent.is_ascii_lowercase());
+    /// assert!(!space.is_ascii_lowercase());
+    /// assert!(!lf.is_ascii_lowercase());
+    /// assert!(!esc.is_ascii_lowercase());
+    /// ```
+    #[stable(feature = "ascii_ctype_on_intrinsics", since = "1.24.0")]
+    #[rustc_const_stable(feature = "const_ascii_ctype_on_intrinsics", since = "1.47.0")]
+    #[inline]
+    pub const fn is_ascii_lowercase(&self) -> bool {
+        matches!(*self, b'a'..=b'z')
+    }
+
+    /// Checks if the value is an ASCII alphanumeric character:
+    ///
+    /// - U+0041 'A' ..= U+005A 'Z', or
+    /// - U+0061 'a' ..= U+007A 'z', or
+    /// - U+0030 '0' ..= U+0039 '9'.
+    ///
+    /// # Examples
+    ///
+    /// ```
+    /// let uppercase_a = b'A';
+    /// let uppercase_g = b'G';
+    /// let a = b'a';
+    /// let g = b'g';
+    /// let zero = b'0';
+    /// let percent = b'%';
+    /// let space = b' ';
+    /// let lf = b'\n';
+    /// let esc = 0x1b_u8;
+    ///
+    /// assert!(uppercase_a.is_ascii_alphanumeric());
+    /// assert!(uppercase_g.is_ascii_alphanumeric());
+    /// assert!(a.is_ascii_alphanumeric());
+    /// assert!(g.is_ascii_alphanumeric());
+    /// assert!(zero.is_ascii_alphanumeric());
+    /// assert!(!percent.is_ascii_alphanumeric());
+    /// assert!(!space.is_ascii_alphanumeric());
+    /// assert!(!lf.is_ascii_alphanumeric());
+    /// assert!(!esc.is_ascii_alphanumeric());
+    /// ```
+    #[stable(feature = "ascii_ctype_on_intrinsics", since = "1.24.0")]
+    #[rustc_const_stable(feature = "const_ascii_ctype_on_intrinsics", since = "1.47.0")]
+    #[inline]
+    pub const fn is_ascii_alphanumeric(&self) -> bool {
+        matches!(*self, b'0'..=b'9' | b'A'..=b'Z' | b'a'..=b'z')
+    }
+
+    /// Checks if the value is an ASCII decimal digit:
+    /// U+0030 '0' ..= U+0039 '9'.
+    ///
+    /// # Examples
+    ///
+    /// ```
+    /// let uppercase_a = b'A';
+    /// let uppercase_g = b'G';
+    /// let a = b'a';
+    /// let g = b'g';
+    /// let zero = b'0';
+    /// let percent = b'%';
+    /// let space = b' ';
+    /// let lf = b'\n';
+    /// let esc = 0x1b_u8;
+    ///
+    /// assert!(!uppercase_a.is_ascii_digit());
+    /// assert!(!uppercase_g.is_ascii_digit());
+    /// assert!(!a.is_ascii_digit());
+    /// assert!(!g.is_ascii_digit());
+    /// assert!(zero.is_ascii_digit());
+    /// assert!(!percent.is_ascii_digit());
+    /// assert!(!space.is_ascii_digit());
+    /// assert!(!lf.is_ascii_digit());
+    /// assert!(!esc.is_ascii_digit());
+    /// ```
+    #[stable(feature = "ascii_ctype_on_intrinsics", since = "1.24.0")]
+    #[rustc_const_stable(feature = "const_ascii_ctype_on_intrinsics", since = "1.47.0")]
+    #[inline]
+    pub const fn is_ascii_digit(&self) -> bool {
+        matches!(*self, b'0'..=b'9')
+    }
+
+    /// Checks if the value is an ASCII hexadecimal digit:
+    ///
+    /// - U+0030 '0' ..= U+0039 '9', or
+    /// - U+0041 'A' ..= U+0046 'F', or
+    /// - U+0061 'a' ..= U+0066 'f'.
+    ///
+    /// # Examples
+    ///
+    /// ```
+    /// let uppercase_a = b'A';
+    /// let uppercase_g = b'G';
+    /// let a = b'a';
+    /// let g = b'g';
+    /// let zero = b'0';
+    /// let percent = b'%';
+    /// let space = b' ';
+    /// let lf = b'\n';
+    /// let esc = 0x1b_u8;
+    ///
+    /// assert!(uppercase_a.is_ascii_hexdigit());
+    /// assert!(!uppercase_g.is_ascii_hexdigit());
+    /// assert!(a.is_ascii_hexdigit());
+    /// assert!(!g.is_ascii_hexdigit());
+    /// assert!(zero.is_ascii_hexdigit());
+    /// assert!(!percent.is_ascii_hexdigit());
+    /// assert!(!space.is_ascii_hexdigit());
+    /// assert!(!lf.is_ascii_hexdigit());
+    /// assert!(!esc.is_ascii_hexdigit());
+    /// ```
+    #[stable(feature = "ascii_ctype_on_intrinsics", since = "1.24.0")]
+    #[rustc_const_stable(feature = "const_ascii_ctype_on_intrinsics", since = "1.47.0")]
+    #[inline]
+    pub const fn is_ascii_hexdigit(&self) -> bool {
+        matches!(*self, b'0'..=b'9' | b'A'..=b'F' | b'a'..=b'f')
+    }
+
+    /// Checks if the value is an ASCII punctuation character:
+    ///
+    /// - U+0021 ..= U+002F `! " # $ % & ' ( ) * + , - . /`, or
+    /// - U+003A ..= U+0040 `: ; < = > ? @`, or
+    /// - U+005B ..= U+0060 ``[ \ ] ^ _ ` ``, or
+    /// - U+007B ..= U+007E `{ | } ~`
+    ///
+    /// # Examples
+    ///
+    /// ```
+    /// let uppercase_a = b'A';
+    /// let uppercase_g = b'G';
+    /// let a = b'a';
+    /// let g = b'g';
+    /// let zero = b'0';
+    /// let percent = b'%';
+    /// let space = b' ';
+    /// let lf = b'\n';
+    /// let esc = 0x1b_u8;
+    ///
+    /// assert!(!uppercase_a.is_ascii_punctuation());
+    /// assert!(!uppercase_g.is_ascii_punctuation());
+    /// assert!(!a.is_ascii_punctuation());
+    /// assert!(!g.is_ascii_punctuation());
+    /// assert!(!zero.is_ascii_punctuation());
+    /// assert!(percent.is_ascii_punctuation());
+    /// assert!(!space.is_ascii_punctuation());
+    /// assert!(!lf.is_ascii_punctuation());
+    /// assert!(!esc.is_ascii_punctuation());
+    /// ```
+    #[stable(feature = "ascii_ctype_on_intrinsics", since = "1.24.0")]
+    #[rustc_const_stable(feature = "const_ascii_ctype_on_intrinsics", since = "1.47.0")]
+    #[inline]
+    pub const fn is_ascii_punctuation(&self) -> bool {
+        matches!(*self, b'!'..=b'/' | b':'..=b'@' | b'['..=b'`' | b'{'..=b'~')
+    }
+
+    /// Checks if the value is an ASCII graphic character:
+    /// U+0021 '!' ..= U+007E '~'.
+    ///
+    /// # Examples
+    ///
+    /// ```
+    /// let uppercase_a = b'A';
+    /// let uppercase_g = b'G';
+    /// let a = b'a';
+    /// let g = b'g';
+    /// let zero = b'0';
+    /// let percent = b'%';
+    /// let space = b' ';
+    /// let lf = b'\n';
+    /// let esc = 0x1b_u8;
+    ///
+    /// assert!(uppercase_a.is_ascii_graphic());
+    /// assert!(uppercase_g.is_ascii_graphic());
+    /// assert!(a.is_ascii_graphic());
+    /// assert!(g.is_ascii_graphic());
+    /// assert!(zero.is_ascii_graphic());
+    /// assert!(percent.is_ascii_graphic());
+    /// assert!(!space.is_ascii_graphic());
+    /// assert!(!lf.is_ascii_graphic());
+    /// assert!(!esc.is_ascii_graphic());
+    /// ```
+    #[stable(feature = "ascii_ctype_on_intrinsics", since = "1.24.0")]
+    #[rustc_const_stable(feature = "const_ascii_ctype_on_intrinsics", since = "1.47.0")]
+    #[inline]
+    pub const fn is_ascii_graphic(&self) -> bool {
+        matches!(*self, b'!'..=b'~')
+    }
+
+    /// Checks if the value is an ASCII whitespace character:
+    /// U+0020 SPACE, U+0009 HORIZONTAL TAB, U+000A LINE FEED,
+    /// U+000C FORM FEED, or U+000D CARRIAGE RETURN.
+    ///
+    /// Rust uses the WhatWG Infra Standard's [definition of ASCII
+    /// whitespace][infra-aw]. There are several other definitions in
+    /// wide use. For instance, [the POSIX locale][pct] includes
+    /// U+000B VERTICAL TAB as well as all the above characters,
+    /// but—from the very same specification—[the default rule for
+    /// "field splitting" in the Bourne shell][bfs] considers *only*
+    /// SPACE, HORIZONTAL TAB, and LINE FEED as whitespace.
+    ///
+    /// If you are writing a program that will process an existing
+    /// file format, check what that format's definition of whitespace is
+    /// before using this function.
+    ///
+    /// [infra-aw]: https://infra.spec.whatwg.org/#ascii-whitespace
+    /// [pct]: http://pubs.opengroup.org/onlinepubs/9699919799/basedefs/V1_chap07.html#tag_07_03_01
+    /// [bfs]: http://pubs.opengroup.org/onlinepubs/9699919799/utilities/V3_chap02.html#tag_18_06_05
+    ///
+    /// # Examples
+    ///
+    /// ```
+    /// let uppercase_a = b'A';
+    /// let uppercase_g = b'G';
+    /// let a = b'a';
+    /// let g = b'g';
+    /// let zero = b'0';
+    /// let percent = b'%';
+    /// let space = b' ';
+    /// let lf = b'\n';
+    /// let esc = 0x1b_u8;
+    ///
+    /// assert!(!uppercase_a.is_ascii_whitespace());
+    /// assert!(!uppercase_g.is_ascii_whitespace());
+    /// assert!(!a.is_ascii_whitespace());
+    /// assert!(!g.is_ascii_whitespace());
+    /// assert!(!zero.is_ascii_whitespace());
+    /// assert!(!percent.is_ascii_whitespace());
+    /// assert!(space.is_ascii_whitespace());
+    /// assert!(lf.is_ascii_whitespace());
+    /// assert!(!esc.is_ascii_whitespace());
+    /// ```
+    #[stable(feature = "ascii_ctype_on_intrinsics", since = "1.24.0")]
+    #[rustc_const_stable(feature = "const_ascii_ctype_on_intrinsics", since = "1.47.0")]
+    #[inline]
+    pub const fn is_ascii_whitespace(&self) -> bool {
+        matches!(*self, b'\t' | b'\n' | b'\x0C' | b'\r' | b' ')
+    }
+
+    /// Checks if the value is an ASCII control character:
+    /// U+0000 NUL ..= U+001F UNIT SEPARATOR, or U+007F DELETE.
+    /// Note that most ASCII whitespace characters are control
+    /// characters, but SPACE is not.
+    ///
+    /// # Examples
+    ///
+    /// ```
+    /// let uppercase_a = b'A';
+    /// let uppercase_g = b'G';
+    /// let a = b'a';
+    /// let g = b'g';
+    /// let zero = b'0';
+    /// let percent = b'%';
+    /// let space = b' ';
+    /// let lf = b'\n';
+    /// let esc = 0x1b_u8;
+    ///
+    /// assert!(!uppercase_a.is_ascii_control());
+    /// assert!(!uppercase_g.is_ascii_control());
+    /// assert!(!a.is_ascii_control());
+    /// assert!(!g.is_ascii_control());
+    /// assert!(!zero.is_ascii_control());
+    /// assert!(!percent.is_ascii_control());
+    /// assert!(!space.is_ascii_control());
+    /// assert!(lf.is_ascii_control());
+    /// assert!(esc.is_ascii_control());
+    /// ```
+    #[stable(feature = "ascii_ctype_on_intrinsics", since = "1.24.0")]
+    #[rustc_const_stable(feature = "const_ascii_ctype_on_intrinsics", since = "1.47.0")]
+    #[inline]
+    pub const fn is_ascii_control(&self) -> bool {
+        matches!(*self, b'\0'..=b'\x1F' | b'\x7F')
+    }
+}
+
+#[lang = "u16"]
+impl u16 {
+    uint_impl! { u16, u16, 16, 65535, "", "", 4, "0xa003", "0x3a", "0x1234", "0x3412", "0x2c48",
+    "[0x34, 0x12]", "[0x12, 0x34]", "", "" }
+}
+
+#[lang = "u32"]
+impl u32 {
+    uint_impl! { u32, u32, 32, 4294967295, "", "", 8, "0x10000b3", "0xb301", "0x12345678",
+    "0x78563412", "0x1e6a2c48", "[0x78, 0x56, 0x34, 0x12]", "[0x12, 0x34, 0x56, 0x78]", "", "" }
+}
+
+#[lang = "u64"]
+impl u64 {
+    uint_impl! { u64, u64, 64, 18446744073709551615, "", "", 12, "0xaa00000000006e1", "0x6e10aa",
+    "0x1234567890123456", "0x5634129078563412", "0x6a2c48091e6a2c48",
+    "[0x56, 0x34, 0x12, 0x90, 0x78, 0x56, 0x34, 0x12]",
+    "[0x12, 0x34, 0x56, 0x78, 0x90, 0x12, 0x34, 0x56]",
+    "", ""}
+}
+
+#[lang = "u128"]
+impl u128 {
+    uint_impl! { u128, u128, 128, 340282366920938463463374607431768211455, "", "", 16,
+    "0x13f40000000000000000000000004f76", "0x4f7613f4", "0x12345678901234567890123456789012",
+    "0x12907856341290785634129078563412", "0x48091e6a2c48091e6a2c48091e6a2c48",
+    "[0x12, 0x90, 0x78, 0x56, 0x34, 0x12, 0x90, 0x78, \
+      0x56, 0x34, 0x12, 0x90, 0x78, 0x56, 0x34, 0x12]",
+    "[0x12, 0x34, 0x56, 0x78, 0x90, 0x12, 0x34, 0x56, \
+      0x78, 0x90, 0x12, 0x34, 0x56, 0x78, 0x90, 0x12]",
+     "", ""}
+}
+
+#[cfg(target_pointer_width = "16")]
+#[lang = "usize"]
+impl usize {
+    uint_impl! { usize, u16, 16, 65535, "", "", 4, "0xa003", "0x3a", "0x1234", "0x3412", "0x2c48",
+    "[0x34, 0x12]", "[0x12, 0x34]",
+    usize_isize_to_xe_bytes_doc!(), usize_isize_from_xe_bytes_doc!() }
+}
+#[cfg(target_pointer_width = "32")]
+#[lang = "usize"]
+impl usize {
+    uint_impl! { usize, u32, 32, 4294967295, "", "", 8, "0x10000b3", "0xb301", "0x12345678",
+    "0x78563412", "0x1e6a2c48", "[0x78, 0x56, 0x34, 0x12]", "[0x12, 0x34, 0x56, 0x78]",
+    usize_isize_to_xe_bytes_doc!(), usize_isize_from_xe_bytes_doc!() }
+}
+
+#[cfg(target_pointer_width = "64")]
+#[lang = "usize"]
+impl usize {
+    uint_impl! { usize, u64, 64, 18446744073709551615, "", "", 12, "0xaa00000000006e1", "0x6e10aa",
+    "0x1234567890123456", "0x5634129078563412", "0x6a2c48091e6a2c48",
+    "[0x56, 0x34, 0x12, 0x90, 0x78, 0x56, 0x34, 0x12]",
+     "[0x12, 0x34, 0x56, 0x78, 0x90, 0x12, 0x34, 0x56]",
+    usize_isize_to_xe_bytes_doc!(), usize_isize_from_xe_bytes_doc!() }
+}
+
+/// A classification of floating point numbers.
+///
+/// This `enum` is used as the return type for [`f32::classify`] and [`f64::classify`]. See
+/// their documentation for more.
+///
+/// [`f32::classify`]: ../../std/primitive.f32.html#method.classify
+/// [`f64::classify`]: ../../std/primitive.f64.html#method.classify
+///
+/// # Examples
+///
+/// ```
+/// use std::num::FpCategory;
+///
+/// let num = 12.4_f32;
+/// let inf = f32::INFINITY;
+/// let zero = 0f32;
+/// let sub: f32 = 1.1754942e-38;
+/// let nan = f32::NAN;
+///
+/// assert_eq!(num.classify(), FpCategory::Normal);
+/// assert_eq!(inf.classify(), FpCategory::Infinite);
+/// assert_eq!(zero.classify(), FpCategory::Zero);
+/// assert_eq!(nan.classify(), FpCategory::Nan);
+/// assert_eq!(sub.classify(), FpCategory::Subnormal);
+/// ```
+#[derive(Copy, Clone, PartialEq, Eq, Debug)]
+#[stable(feature = "rust1", since = "1.0.0")]
+pub enum FpCategory {
+    /// "Not a Number", often obtained by dividing by zero.
+    #[stable(feature = "rust1", since = "1.0.0")]
+    Nan,
+
+    /// Positive or negative infinity.
+    #[stable(feature = "rust1", since = "1.0.0")]
+    Infinite,
+
+    /// Positive or negative zero.
+    #[stable(feature = "rust1", since = "1.0.0")]
+    Zero,
+
+    /// De-normalized floating point representation (less precise than `Normal`).
+    #[stable(feature = "rust1", since = "1.0.0")]
+    Subnormal,
+
+    /// A regular floating point number.
+    #[stable(feature = "rust1", since = "1.0.0")]
+    Normal,
+}
+
+macro_rules! from_str_radix_int_impl {
+    ($($t:ty)*) => {$(
+        #[stable(feature = "rust1", since = "1.0.0")]
+        impl FromStr for $t {
+            type Err = ParseIntError;
+            fn from_str(src: &str) -> Result<Self, ParseIntError> {
+                from_str_radix(src, 10)
+            }
+        }
+    )*}
+}
+from_str_radix_int_impl! { isize i8 i16 i32 i64 i128 usize u8 u16 u32 u64 u128 }
+
+/// The error type returned when a checked integral type conversion fails.
+#[stable(feature = "try_from", since = "1.34.0")]
+#[derive(Debug, Copy, Clone, PartialEq, Eq)]
+pub struct TryFromIntError(pub(crate) ());
+
+impl TryFromIntError {
+    #[unstable(
+        feature = "int_error_internals",
+        reason = "available through Error trait and this method should \
+                  not be exposed publicly",
+        issue = "none"
+    )]
+    #[doc(hidden)]
+    pub fn __description(&self) -> &str {
+        "out of range integral type conversion attempted"
+    }
+}
+
+#[stable(feature = "try_from", since = "1.34.0")]
+impl fmt::Display for TryFromIntError {
+    fn fmt(&self, fmt: &mut fmt::Formatter<'_>) -> fmt::Result {
+        self.__description().fmt(fmt)
+    }
+}
+
+#[stable(feature = "try_from", since = "1.34.0")]
+impl From<Infallible> for TryFromIntError {
+    fn from(x: Infallible) -> TryFromIntError {
+        match x {}
+    }
+}
+
+#[unstable(feature = "never_type", issue = "35121")]
+impl From<!> for TryFromIntError {
+    fn from(never: !) -> TryFromIntError {
+        // Match rather than coerce to make sure that code like
+        // `From<Infallible> for TryFromIntError` above will keep working
+        // when `Infallible` becomes an alias to `!`.
+        match never {}
+    }
+}
+
+#[doc(hidden)]
+trait FromStrRadixHelper: PartialOrd + Copy {
+    fn min_value() -> Self;
+    fn max_value() -> Self;
+    fn from_u32(u: u32) -> Self;
+    fn checked_mul(&self, other: u32) -> Option<Self>;
+    fn checked_sub(&self, other: u32) -> Option<Self>;
+    fn checked_add(&self, other: u32) -> Option<Self>;
+}
+
+macro_rules! doit {
+    ($($t:ty)*) => ($(impl FromStrRadixHelper for $t {
+        #[inline]
+        fn min_value() -> Self { Self::MIN }
+        #[inline]
+        fn max_value() -> Self { Self::MAX }
+        #[inline]
+        fn from_u32(u: u32) -> Self { u as Self }
+        #[inline]
+        fn checked_mul(&self, other: u32) -> Option<Self> {
+            Self::checked_mul(*self, other as Self)
+        }
+        #[inline]
+        fn checked_sub(&self, other: u32) -> Option<Self> {
+            Self::checked_sub(*self, other as Self)
+        }
+        #[inline]
+        fn checked_add(&self, other: u32) -> Option<Self> {
+            Self::checked_add(*self, other as Self)
+        }
+    })*)
+}
+doit! { i8 i16 i32 i64 i128 isize u8 u16 u32 u64 u128 usize }
+
+fn from_str_radix<T: FromStrRadixHelper>(src: &str, radix: u32) -> Result<T, ParseIntError> {
+    use self::IntErrorKind::*;
+    use self::ParseIntError as PIE;
+
+    assert!(
+        radix >= 2 && radix <= 36,
+        "from_str_radix_int: must lie in the range `[2, 36]` - found {}",
+        radix
+    );
+
+    if src.is_empty() {
+        return Err(PIE { kind: Empty });
+    }
+
+    let is_signed_ty = T::from_u32(0) > T::min_value();
+
+    // all valid digits are ascii, so we will just iterate over the utf8 bytes
+    // and cast them to chars. .to_digit() will safely return None for anything
+    // other than a valid ascii digit for the given radix, including the first-byte
+    // of multi-byte sequences
+    let src = src.as_bytes();
+
+    let (is_positive, digits) = match src[0] {
+        b'+' => (true, &src[1..]),
+        b'-' if is_signed_ty => (false, &src[1..]),
+        _ => (true, src),
+    };
+
+    if digits.is_empty() {
+        return Err(PIE { kind: Empty });
+    }
+
+    let mut result = T::from_u32(0);
+    if is_positive {
+        // The number is positive
+        for &c in digits {
+            let x = match (c as char).to_digit(radix) {
+                Some(x) => x,
+                None => return Err(PIE { kind: InvalidDigit }),
+            };
+            result = match result.checked_mul(radix) {
+                Some(result) => result,
+                None => return Err(PIE { kind: Overflow }),
+            };
+            result = match result.checked_add(x) {
+                Some(result) => result,
+                None => return Err(PIE { kind: Overflow }),
+            };
+        }
+    } else {
+        // The number is negative
+        for &c in digits {
+            let x = match (c as char).to_digit(radix) {
+                Some(x) => x,
+                None => return Err(PIE { kind: InvalidDigit }),
+            };
+            result = match result.checked_mul(radix) {
+                Some(result) => result,
+                None => return Err(PIE { kind: Underflow }),
+            };
+            result = match result.checked_sub(x) {
+                Some(result) => result,
+                None => return Err(PIE { kind: Underflow }),
+            };
+        }
+    }
+    Ok(result)
+}
+
+/// An error which can be returned when parsing an integer.
+///
+/// This error is used as the error type for the `from_str_radix()` functions
+/// on the primitive integer types, such as [`i8::from_str_radix`].
+///
+/// # Potential causes
+///
+/// Among other causes, `ParseIntError` can be thrown because of leading or trailing whitespace
+/// in the string e.g., when it is obtained from the standard input.
+/// Using the [`str.trim()`] method ensures that no whitespace remains before parsing.
+///
+/// [`str.trim()`]: ../../std/primitive.str.html#method.trim
+/// [`i8::from_str_radix`]: ../../std/primitive.i8.html#method.from_str_radix
+#[derive(Debug, Clone, PartialEq, Eq)]
+#[stable(feature = "rust1", since = "1.0.0")]
+pub struct ParseIntError {
+    kind: IntErrorKind,
+}
+
+/// Enum to store the various types of errors that can cause parsing an integer to fail.
+#[unstable(
+    feature = "int_error_matching",
+    reason = "it can be useful to match errors when making error messages \
+              for integer parsing",
+    issue = "22639"
+)]
+#[derive(Debug, Clone, PartialEq, Eq)]
+#[non_exhaustive]
+pub enum IntErrorKind {
+    /// Value being parsed is empty.
+    ///
+    /// Among other causes, this variant will be constructed when parsing an empty string.
+    Empty,
+    /// Contains an invalid digit.
+    ///
+    /// Among other causes, this variant will be constructed when parsing a string that
+    /// contains a letter.
+    InvalidDigit,
+    /// Integer is too large to store in target integer type.
+    Overflow,
+    /// Integer is too small to store in target integer type.
+    Underflow,
+    /// Value was Zero
+    ///
+    /// This variant will be emitted when the parsing string has a value of zero, which
+    /// would be illegal for non-zero types.
+    Zero,
+}
+
+impl ParseIntError {
+    /// Outputs the detailed cause of parsing an integer failing.
+    #[unstable(
+        feature = "int_error_matching",
+        reason = "it can be useful to match errors when making error messages \
+                  for integer parsing",
+        issue = "22639"
+    )]
+    pub fn kind(&self) -> &IntErrorKind {
+        &self.kind
+    }
+    #[unstable(
+        feature = "int_error_internals",
+        reason = "available through Error trait and this method should \
+                  not be exposed publicly",
+        issue = "none"
+    )]
+    #[doc(hidden)]
+    pub fn __description(&self) -> &str {
+        match self.kind {
+            IntErrorKind::Empty => "cannot parse integer from empty string",
+            IntErrorKind::InvalidDigit => "invalid digit found in string",
+            IntErrorKind::Overflow => "number too large to fit in target type",
+            IntErrorKind::Underflow => "number too small to fit in target type",
+            IntErrorKind::Zero => "number would be zero for non-zero type",
+        }
+    }
+}
+
+#[stable(feature = "rust1", since = "1.0.0")]
+impl fmt::Display for ParseIntError {
+    fn fmt(&self, f: &mut fmt::Formatter<'_>) -> fmt::Result {
+        self.__description().fmt(f)
+    }
+}
+
+#[stable(feature = "rust1", since = "1.0.0")]
+pub use crate::num::dec2flt::ParseFloatError;