From 3ee724e6100706caca76c182939a2d7bced7d997 Mon Sep 17 00:00:00 2001 From: Lzu Tao Date: Fri, 4 Sep 2020 14:20:01 +0000 Subject: [PATCH] Move (u)int_impl macros to their own files --- library/core/src/num/int_macros.rs | 2201 ++++++++++++++ library/core/src/num/mod.rs | 4277 +-------------------------- library/core/src/num/uint_macros.rs | 1955 ++++++++++++ 3 files changed, 4218 insertions(+), 4215 deletions(-) create mode 100644 library/core/src/num/int_macros.rs create mode 100644 library/core/src/num/uint_macros.rs diff --git a/library/core/src/num/int_macros.rs b/library/core/src/num/int_macros.rs new file mode 100644 index 0000000000000..369175fb6ab1e --- /dev/null +++ b/library/core/src/num/int_macros.rs @@ -0,0 +1,2201 @@ +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!("The size of this integer type in bits. + +# Examples + +``` +", $Feature, "#![feature(int_bits_const)] +assert_eq!(", stringify!($SelfT), "::BITS, ", stringify!($BITS), ");", +$EndFeature, " +```"), + #[unstable(feature = "int_bits_const", issue = "76904")] + pub const BITS: u32 = $BITS; + } + + 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 { + 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);", +$EndFeature, " +```"), + #[stable(feature = "rust1", since = "1.0.0")] + #[rustc_const_stable(feature = "const_checked_int_methods", since = "1.47.0")] + #[must_use = "this returns the result of the operation, \ + without modifying the original"] + #[inline] + pub const fn checked_add(self, rhs: Self) -> Option { + let (a, b) = self.overflowing_add(rhs); + if unlikely!(b) {None} else {Some(a)} + } + } + + doc_comment! { + concat!("Unchecked integer addition. Computes `self + rhs`, assuming overflow +cannot occur. This results in undefined behavior when `self + rhs > ", stringify!($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);", +$EndFeature, " +```"), + #[stable(feature = "rust1", since = "1.0.0")] + #[rustc_const_stable(feature = "const_checked_int_methods", since = "1.47.0")] + #[must_use = "this returns the result of the operation, \ + without modifying the original"] + #[inline] + pub const fn checked_sub(self, rhs: Self) -> Option { + let (a, b) = self.overflowing_sub(rhs); + if unlikely!(b) {None} else {Some(a)} + } + } + + doc_comment! { + concat!("Unchecked integer subtraction. Computes `self - rhs`, assuming overflow +cannot occur. This results in undefined behavior when `self - rhs > ", stringify!($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);", +$EndFeature, " +```"), + #[stable(feature = "rust1", since = "1.0.0")] + #[rustc_const_stable(feature = "const_checked_int_methods", since = "1.47.0")] + #[must_use = "this returns the result of the operation, \ + without modifying the original"] + #[inline] + pub const fn checked_mul(self, rhs: Self) -> Option { + let (a, b) = self.overflowing_mul(rhs); + if unlikely!(b) {None} else {Some(a)} + } + } + + doc_comment! { + concat!("Unchecked integer multiplication. Computes `self * rhs`, assuming overflow +cannot occur. This results in undefined behavior when `self * rhs > ", stringify!($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 { + 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 { + 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);", +$EndFeature, " +```"), + #[stable(feature = "wrapping", since = "1.7.0")] + #[rustc_const_unstable(feature = "const_checked_int_methods", issue = "53718")] + #[must_use = "this returns the result of the operation, \ + without modifying the original"] + #[inline] + pub const fn checked_rem(self, rhs: Self) -> Option { + if unlikely!(rhs == 0 || (self == Self::MIN && rhs == -1)) { + None + } else { + // SAFETY: div by zero and by INT_MIN have been checked above + Some(unsafe { intrinsics::unchecked_rem(self, rhs) }) + } + } + } + + doc_comment! { + concat!("Checked Euclidean remainder. Computes `self.rem_euclid(rhs)`, returning `None` +if `rhs == 0` or the division results in overflow. + +# Examples + +Basic usage: + +``` +assert_eq!(5", stringify!($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 { + 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 { + 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 { + 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 { + 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 { + 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 { + 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!("Computes the absolute value of `self` without any wrapping +or panicking. + + +# Examples + +Basic usage: + +``` +", $Feature, "#![feature(unsigned_abs)] +assert_eq!(100", stringify!($SelfT), ".unsigned_abs(), 100", stringify!($UnsignedT), "); +assert_eq!((-100", stringify!($SelfT), ").unsigned_abs(), 100", stringify!($UnsignedT), "); +assert_eq!((-128i8).unsigned_abs(), 128u8);", +$EndFeature, " +```"), + #[unstable(feature = "unsigned_abs", issue = "74913")] + #[inline] + pub const fn unsigned_abs(self) -> $UnsignedT { + self.wrapping_abs() as $UnsignedT + } + } + + 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, ", $be_bytes, "); +```"), + #[stable(feature = "int_to_from_bytes", since = "1.32.0")] + #[rustc_const_stable(feature = "const_int_conversion", since = "1.44.0")] + #[inline] + pub const fn to_be_bytes(self) -> [u8; mem::size_of::()] { + self.to_be().to_ne_bytes() + } + } + +doc_comment! { + concat!("Return the memory representation of this integer as a byte array in +little-endian byte order. +", +$to_xe_bytes_doc, +" +# Examples + +``` +let bytes = ", $swap_op, stringify!($SelfT), ".to_le_bytes(); +assert_eq!(bytes, ", $le_bytes, "); +```"), + #[stable(feature = "int_to_from_bytes", since = "1.32.0")] + #[rustc_const_stable(feature = "const_int_conversion", since = "1.44.0")] + #[inline] + pub const fn to_le_bytes(self) -> [u8; mem::size_of::()] { + self.to_le().to_ne_bytes() + } + } + + doc_comment! { + concat!(" +Return the memory representation of this integer as a byte array in +native byte order. + +As the target platform's native endianness is used, portable code +should use [`to_be_bytes`] or [`to_le_bytes`], as appropriate, +instead. +", +$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 { + ", $le_bytes, " + } +); +```"), + #[stable(feature = "int_to_from_bytes", since = "1.32.0")] + #[rustc_const_stable(feature = "const_int_conversion", since = "1.44.0")] + // SAFETY: const sound because integers are plain old datatypes so we can always + // transmute them to arrays of bytes + #[allow_internal_unstable(const_fn_transmute)] + #[inline] + pub const fn to_ne_bytes(self) -> [u8; mem::size_of::()] { + // SAFETY: integers are plain old datatypes so we can always transmute them to + // arrays of bytes + unsafe { mem::transmute(self) } + } + } + +doc_comment! { + concat!("Create an integer value from its representation as a byte array in +big endian. +", +$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!($SelfT), "::from_be_bytes(int_bytes.try_into().unwrap()) +} +```"), + #[stable(feature = "int_to_from_bytes", since = "1.32.0")] + #[rustc_const_stable(feature = "const_int_conversion", since = "1.44.0")] + #[inline] + pub const fn from_be_bytes(bytes: [u8; mem::size_of::()]) -> Self { + Self::from_be(Self::from_ne_bytes(bytes)) + } + } + +doc_comment! { + concat!(" +Create an integer value from its representation as a byte array in +little endian. +", +$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!($SelfT), "::from_le_bytes(int_bytes.try_into().unwrap()) +} +```"), + #[stable(feature = "int_to_from_bytes", since = "1.32.0")] + #[rustc_const_stable(feature = "const_int_conversion", since = "1.44.0")] + #[inline] + pub const fn from_le_bytes(bytes: [u8; mem::size_of::()]) -> Self { + Self::from_le(Self::from_ne_bytes(bytes)) + } + } + + doc_comment! { + concat!("Create an integer value from its memory representation as a byte +array in native endianness. + +As the target platform's native endianness is used, portable code +likely wants to use [`from_be_bytes`] or [`from_le_bytes`], as +appropriate instead. + +[`from_be_bytes`]: #method.from_be_bytes +[`from_le_bytes`]: #method.from_le_bytes +", +$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!($SelfT), "::from_ne_bytes(int_bytes.try_into().unwrap()) +} +```"), + #[stable(feature = "int_to_from_bytes", since = "1.32.0")] + #[rustc_const_stable(feature = "const_int_conversion", since = "1.44.0")] + // SAFETY: const sound because integers are plain old datatypes so we can always + // transmute to them + #[allow_internal_unstable(const_fn_transmute)] + #[inline] + pub const fn from_ne_bytes(bytes: [u8; mem::size_of::()]) -> Self { + // SAFETY: integers are plain old datatypes so we can always transmute to them + unsafe { mem::transmute(bytes) } + } + } + + doc_comment! { + concat!("**This method is soft-deprecated.** + +Although using it won’t cause a compilation warning, +new code should use [`", stringify!($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 a compilation warning, +new code should use [`", stringify!($SelfT), "::MAX", "`](#associatedconstant.MAX) instead. + +Returns the largest value that can be represented by this integer type."), + #[stable(feature = "rust1", since = "1.0.0")] + #[inline(always)] + #[rustc_promotable] + #[rustc_const_stable(feature = "const_max_value", since = "1.32.0")] + pub const fn max_value() -> Self { + Self::MAX + } + } + } +} diff --git a/library/core/src/num/mod.rs b/library/core/src/num/mod.rs index adcdee4219fe1..5388a5c04b86d 100644 --- a/library/core/src/num/mod.rs +++ b/library/core/src/num/mod.rs @@ -38,6 +38,11 @@ pub mod dec2flt; pub mod diy_float; pub mod flt2dec; +#[macro_use] +mod int_macros; // import int_impl! +#[macro_use] +mod uint_macros; // import uint_impl! + mod error; mod nonzero; mod wrapping; @@ -85,4228 +90,70 @@ depending on the target pointer size. }; } -macro_rules! int_impl { - ($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!("The size of this integer type in bits. - -# Examples - -``` -", $Feature, "#![feature(int_bits_const)] -assert_eq!(", stringify!($SelfT), "::BITS, ", stringify!($BITS), ");", -$EndFeature, " -```"), - #[unstable(feature = "int_bits_const", issue = "76904")] - pub const BITS: u32 = $BITS; - } - - 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 { - 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);", -$EndFeature, " -```"), - #[stable(feature = "rust1", since = "1.0.0")] - #[rustc_const_stable(feature = "const_checked_int_methods", since = "1.47.0")] - #[must_use = "this returns the result of the operation, \ - without modifying the original"] - #[inline] - pub const fn checked_add(self, rhs: Self) -> Option { - let (a, b) = self.overflowing_add(rhs); - if unlikely!(b) {None} else {Some(a)} - } - } - - doc_comment! { - concat!("Unchecked integer addition. Computes `self + rhs`, assuming overflow -cannot occur. This results in undefined behavior when `self + rhs > ", stringify!($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);", -$EndFeature, " -```"), - #[stable(feature = "rust1", since = "1.0.0")] - #[rustc_const_stable(feature = "const_checked_int_methods", since = "1.47.0")] - #[must_use = "this returns the result of the operation, \ - without modifying the original"] - #[inline] - pub const fn checked_sub(self, rhs: Self) -> Option { - let (a, b) = self.overflowing_sub(rhs); - if unlikely!(b) {None} else {Some(a)} - } - } - - doc_comment! { - concat!("Unchecked integer subtraction. Computes `self - rhs`, assuming overflow -cannot occur. This results in undefined behavior when `self - rhs > ", stringify!($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);", -$EndFeature, " -```"), - #[stable(feature = "rust1", since = "1.0.0")] - #[rustc_const_stable(feature = "const_checked_int_methods", since = "1.47.0")] - #[must_use = "this returns the result of the operation, \ - without modifying the original"] - #[inline] - pub const fn checked_mul(self, rhs: Self) -> Option { - let (a, b) = self.overflowing_mul(rhs); - if unlikely!(b) {None} else {Some(a)} - } - } - - doc_comment! { - concat!("Unchecked integer multiplication. Computes `self * rhs`, assuming overflow -cannot occur. This results in undefined behavior when `self * rhs > ", stringify!($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 { - 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 { - 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);", -$EndFeature, " -```"), - #[stable(feature = "wrapping", since = "1.7.0")] - #[rustc_const_unstable(feature = "const_checked_int_methods", issue = "53718")] - #[must_use = "this returns the result of the operation, \ - without modifying the original"] - #[inline] - pub const fn checked_rem(self, rhs: Self) -> Option { - if unlikely!(rhs == 0 || (self == Self::MIN && rhs == -1)) { - None - } else { - // SAFETY: div by zero and by INT_MIN have been checked above - Some(unsafe { intrinsics::unchecked_rem(self, rhs) }) - } - } - } - - doc_comment! { - concat!("Checked Euclidean remainder. Computes `self.rem_euclid(rhs)`, returning `None` -if `rhs == 0` or the division results in overflow. - -# Examples - -Basic usage: - -``` -assert_eq!(5", stringify!($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 { - 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 { - 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 { - 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 { - 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 { - 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: +#[lang = "i8"] +impl i8 { + int_impl! { i8, i8, u8, 8, -128, 127, "", "", 2, "-0x7e", "0xa", "0x12", "0x12", "0x48", + "[0x12]", "[0x12]", "", "" } +} -``` -", $Feature, "assert_eq!(8", stringify!($SelfT), ".checked_pow(2), Some(64)); -assert_eq!(", stringify!($SelfT), "::MAX.checked_pow(2), None);", -$EndFeature, " -```"), +#[lang = "i16"] +impl i16 { + int_impl! { i16, i16, u16, 16, -32768, 32767, "", "", 4, "-0x5ffd", "0x3a", "0x1234", "0x3412", + "0x2c48", "[0x34, 0x12]", "[0x12, 0x34]", "", "" } +} - #[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 { - if exp == 0 { - return Some(1); - } - let mut base = self; - let mut acc: Self = 1; +#[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]", "", "" } +} - 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))) - } - } +#[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]", "", "" } +} - doc_comment! { - concat!("Saturating integer addition. Computes `self + rhs`, saturating at the numeric -bounds instead of overflowing. +#[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]", "", "" } +} -# Examples +#[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!() } +} -Basic usage: +#[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!() } +} -``` -", $Feature, "assert_eq!(100", stringify!($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!("Computes the absolute value of `self` without any wrapping -or panicking. - - -# Examples - -Basic usage: - -``` -", $Feature, "#![feature(unsigned_abs)] -assert_eq!(100", stringify!($SelfT), ".unsigned_abs(), 100", stringify!($UnsignedT), "); -assert_eq!((-100", stringify!($SelfT), ").unsigned_abs(), 100", stringify!($UnsignedT), "); -assert_eq!((-128i8).unsigned_abs(), 128u8);", -$EndFeature, " -```"), - #[unstable(feature = "unsigned_abs", issue = "74913")] - #[inline] - pub const fn unsigned_abs(self) -> $UnsignedT { - self.wrapping_abs() as $UnsignedT - } - } - - 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, ", $be_bytes, "); -```"), - #[stable(feature = "int_to_from_bytes", since = "1.32.0")] - #[rustc_const_stable(feature = "const_int_conversion", since = "1.44.0")] - #[inline] - pub const fn to_be_bytes(self) -> [u8; mem::size_of::()] { - self.to_be().to_ne_bytes() - } - } - -doc_comment! { - concat!("Return the memory representation of this integer as a byte array in -little-endian byte order. -", -$to_xe_bytes_doc, -" -# Examples - -``` -let bytes = ", $swap_op, stringify!($SelfT), ".to_le_bytes(); -assert_eq!(bytes, ", $le_bytes, "); -```"), - #[stable(feature = "int_to_from_bytes", since = "1.32.0")] - #[rustc_const_stable(feature = "const_int_conversion", since = "1.44.0")] - #[inline] - pub const fn to_le_bytes(self) -> [u8; mem::size_of::()] { - self.to_le().to_ne_bytes() - } - } - - doc_comment! { - concat!(" -Return the memory representation of this integer as a byte array in -native byte order. - -As the target platform's native endianness is used, portable code -should use [`to_be_bytes`] or [`to_le_bytes`], as appropriate, -instead. -", -$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 { - ", $le_bytes, " - } -); -```"), - #[stable(feature = "int_to_from_bytes", since = "1.32.0")] - #[rustc_const_stable(feature = "const_int_conversion", since = "1.44.0")] - // SAFETY: const sound because integers are plain old datatypes so we can always - // transmute them to arrays of bytes - #[allow_internal_unstable(const_fn_transmute)] - #[inline] - pub const fn to_ne_bytes(self) -> [u8; mem::size_of::()] { - // SAFETY: integers are plain old datatypes so we can always transmute them to - // arrays of bytes - unsafe { mem::transmute(self) } - } - } - -doc_comment! { - concat!("Create an integer value from its representation as a byte array in -big endian. -", -$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!($SelfT), "::from_be_bytes(int_bytes.try_into().unwrap()) -} -```"), - #[stable(feature = "int_to_from_bytes", since = "1.32.0")] - #[rustc_const_stable(feature = "const_int_conversion", since = "1.44.0")] - #[inline] - pub const fn from_be_bytes(bytes: [u8; mem::size_of::()]) -> Self { - Self::from_be(Self::from_ne_bytes(bytes)) - } - } - -doc_comment! { - concat!(" -Create an integer value from its representation as a byte array in -little endian. -", -$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!($SelfT), "::from_le_bytes(int_bytes.try_into().unwrap()) -} -```"), - #[stable(feature = "int_to_from_bytes", since = "1.32.0")] - #[rustc_const_stable(feature = "const_int_conversion", since = "1.44.0")] - #[inline] - pub const fn from_le_bytes(bytes: [u8; mem::size_of::()]) -> Self { - Self::from_le(Self::from_ne_bytes(bytes)) - } - } - - doc_comment! { - concat!("Create an integer value from its memory representation as a byte -array in native endianness. - -As the target platform's native endianness is used, portable code -likely wants to use [`from_be_bytes`] or [`from_le_bytes`], as -appropriate instead. - -[`from_be_bytes`]: #method.from_be_bytes -[`from_le_bytes`]: #method.from_le_bytes -", -$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!($SelfT), "::from_ne_bytes(int_bytes.try_into().unwrap()) -} -```"), - #[stable(feature = "int_to_from_bytes", since = "1.32.0")] - #[rustc_const_stable(feature = "const_int_conversion", since = "1.44.0")] - // SAFETY: const sound because integers are plain old datatypes so we can always - // transmute to them - #[allow_internal_unstable(const_fn_transmute)] - #[inline] - pub const fn from_ne_bytes(bytes: [u8; mem::size_of::()]) -> Self { - // SAFETY: integers are plain old datatypes so we can always transmute to them - unsafe { mem::transmute(bytes) } - } - } - - doc_comment! { - concat!("**This method is soft-deprecated.** - -Although using it won’t cause a compilation warning, -new code should use [`", stringify!($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 a 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!("The size of this integer type in bits. - -# Examples - -``` -", $Feature, "#![feature(int_bits_const)] -assert_eq!(", stringify!($SelfT), "::BITS, ", stringify!($BITS), ");", -$EndFeature, " -```"), - #[unstable(feature = "int_bits_const", issue = "76904")] - pub const BITS: u32 = $BITS; - } - - 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 { - 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);", $EndFeature, " -```"), - #[stable(feature = "rust1", since = "1.0.0")] - #[rustc_const_stable(feature = "const_checked_int_methods", since = "1.47.0")] - #[must_use = "this returns the result of the operation, \ - without modifying the original"] - #[inline] - pub const fn checked_add(self, rhs: Self) -> Option { - let (a, b) = self.overflowing_add(rhs); - if unlikely!(b) {None} else {Some(a)} - } - } - - doc_comment! { - concat!("Unchecked integer addition. Computes `self + rhs`, assuming overflow -cannot occur. This results in undefined behavior when `self + rhs > ", stringify!($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);", $EndFeature, " -```"), - #[stable(feature = "rust1", since = "1.0.0")] - #[rustc_const_stable(feature = "const_checked_int_methods", since = "1.47.0")] - #[must_use = "this returns the result of the operation, \ - without modifying the original"] - #[inline] - pub const fn checked_sub(self, rhs: Self) -> Option { - let (a, b) = self.overflowing_sub(rhs); - if unlikely!(b) {None} else {Some(a)} - } - } - - doc_comment! { - concat!("Unchecked integer subtraction. Computes `self - rhs`, assuming overflow -cannot occur. This results in undefined behavior when `self - rhs > ", stringify!($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);", $EndFeature, " -```"), - #[stable(feature = "rust1", since = "1.0.0")] - #[rustc_const_stable(feature = "const_checked_int_methods", since = "1.47.0")] - #[must_use = "this returns the result of the operation, \ - without modifying the original"] - #[inline] - pub const fn checked_mul(self, rhs: Self) -> Option { - let (a, b) = self.overflowing_mul(rhs); - if unlikely!(b) {None} else {Some(a)} - } - } - - doc_comment! { - concat!("Unchecked integer multiplication. Computes `self * rhs`, assuming overflow -cannot occur. This results in undefined behavior when `self * rhs > ", stringify!($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);", $EndFeature, " -```"), - #[stable(feature = "rust1", since = "1.0.0")] - #[rustc_const_unstable(feature = "const_checked_int_methods", issue = "53718")] - #[must_use = "this returns the result of the operation, \ - without modifying the original"] - #[inline] - pub const fn checked_div(self, rhs: Self) -> Option { - if unlikely!(rhs == 0) { - None - } else { - // SAFETY: div by zero has been checked above and unsigned types have no other - // failure modes for division - Some(unsafe { intrinsics::unchecked_div(self, rhs) }) - } - } - } - - doc_comment! { - concat!("Checked Euclidean division. Computes `self.div_euclid(rhs)`, returning `None` -if `rhs == 0`. - -# Examples - -Basic usage: - -``` -assert_eq!(128", stringify!($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 { - 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);", $EndFeature, " -```"), - #[stable(feature = "wrapping", since = "1.7.0")] - #[rustc_const_unstable(feature = "const_checked_int_methods", issue = "53718")] - #[must_use = "this returns the result of the operation, \ - without modifying the original"] - #[inline] - pub const fn checked_rem(self, rhs: Self) -> Option { - if unlikely!(rhs == 0) { - None - } else { - // SAFETY: div by zero has been checked above and unsigned types have no other - // failure modes for division - Some(unsafe { intrinsics::unchecked_rem(self, rhs) }) - } - } - } - - doc_comment! { - concat!("Checked Euclidean modulo. Computes `self.rem_euclid(rhs)`, returning `None` -if `rhs == 0`. - -# Examples - -Basic usage: - -``` -assert_eq!(5", stringify!($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 { - 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 { - 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 { - 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 { - 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 { - 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.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, ", $be_bytes, "); -```"), - #[stable(feature = "int_to_from_bytes", since = "1.32.0")] - #[rustc_const_stable(feature = "const_int_conversion", since = "1.44.0")] - #[inline] - pub const fn to_be_bytes(self) -> [u8; mem::size_of::()] { - self.to_be().to_ne_bytes() - } - } - - doc_comment! { - concat!("Return the memory representation of this integer as a byte array in -little-endian byte order. -", -$to_xe_bytes_doc, -" -# Examples - -``` -let bytes = ", $swap_op, stringify!($SelfT), ".to_le_bytes(); -assert_eq!(bytes, ", $le_bytes, "); -```"), - #[stable(feature = "int_to_from_bytes", since = "1.32.0")] - #[rustc_const_stable(feature = "const_int_conversion", since = "1.44.0")] - #[inline] - pub const fn to_le_bytes(self) -> [u8; mem::size_of::()] { - self.to_le().to_ne_bytes() - } - } - - doc_comment! { - concat!(" -Return the memory representation of this integer as a byte array in -native byte order. - -As the target platform's native endianness is used, portable code -should use [`to_be_bytes`] or [`to_le_bytes`], as appropriate, -instead. -", -$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 { - ", $le_bytes, " - } -); -```"), - #[stable(feature = "int_to_from_bytes", since = "1.32.0")] - #[rustc_const_stable(feature = "const_int_conversion", since = "1.44.0")] - // SAFETY: const sound because integers are plain old datatypes so we can always - // transmute them to arrays of bytes - #[allow_internal_unstable(const_fn_transmute)] - #[inline] - pub const fn to_ne_bytes(self) -> [u8; mem::size_of::()] { - // SAFETY: integers are plain old datatypes so we can always transmute them to - // arrays of bytes - unsafe { mem::transmute(self) } - } - } - - doc_comment! { - concat!("Create a native endian integer value from its representation -as a byte array in big endian. -", -$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!($SelfT), "::from_be_bytes(int_bytes.try_into().unwrap()) -} -```"), - #[stable(feature = "int_to_from_bytes", since = "1.32.0")] - #[rustc_const_stable(feature = "const_int_conversion", since = "1.44.0")] - #[inline] - pub const fn from_be_bytes(bytes: [u8; mem::size_of::()]) -> Self { - Self::from_be(Self::from_ne_bytes(bytes)) - } - } - - doc_comment! { - concat!(" -Create a native endian integer value from its representation -as a byte array in little endian. -", -$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!($SelfT), "::from_le_bytes(int_bytes.try_into().unwrap()) -} -```"), - #[stable(feature = "int_to_from_bytes", since = "1.32.0")] - #[rustc_const_stable(feature = "const_int_conversion", since = "1.44.0")] - #[inline] - pub const fn from_le_bytes(bytes: [u8; mem::size_of::()]) -> Self { - Self::from_le(Self::from_ne_bytes(bytes)) - } - } - - doc_comment! { - concat!("Create a native endian integer value from its memory representation -as a byte array in native endianness. - -As the target platform's native endianness is used, portable code -likely wants to use [`from_be_bytes`] or [`from_le_bytes`], as -appropriate instead. - -[`from_be_bytes`]: #method.from_be_bytes -[`from_le_bytes`]: #method.from_le_bytes -", -$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!($SelfT), "::from_ne_bytes(int_bytes.try_into().unwrap()) -} -```"), - #[stable(feature = "int_to_from_bytes", since = "1.32.0")] - #[rustc_const_stable(feature = "const_int_conversion", since = "1.44.0")] - // SAFETY: const sound because integers are plain old datatypes so we can always - // transmute to them - #[allow_internal_unstable(const_fn_transmute)] - #[inline] - pub const fn from_ne_bytes(bytes: [u8; mem::size_of::()]) -> Self { - // SAFETY: integers are plain old datatypes so we can always transmute to them - unsafe { mem::transmute(bytes) } - } - } - - doc_comment! { - concat!("**This method is soft-deprecated.** - -Although using it won’t cause compilation warning, -new code should use [`", stringify!($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!($SelfT), "::MAX", "`](#associatedconstant.MAX) instead. - -Returns the largest value that can be represented by this integer type."), - #[stable(feature = "rust1", since = "1.0.0")] - #[rustc_promotable] - #[inline(always)] - #[rustc_const_stable(feature = "const_max_value", since = "1.32.0")] - pub const fn max_value() -> Self { Self::MAX } - } - } +#[cfg(target_pointer_width = "64")] +#[lang = "isize"] +impl isize { + int_impl! { isize, i64, u64, 64, -9223372036854775808, 9223372036854775807, "", "", + 12, "0xaa00000000006e1", "0x6e10aa", "0x1234567890123456", "0x5634129078563412", + "0x6a2c48091e6a2c48", "[0x56, 0x34, 0x12, 0x90, 0x78, 0x56, 0x34, 0x12]", + "[0x12, 0x34, 0x56, 0x78, 0x90, 0x12, 0x34, 0x56]", + usize_isize_to_xe_bytes_doc!(), usize_isize_from_xe_bytes_doc!() } } #[lang = "u8"] diff --git a/library/core/src/num/uint_macros.rs b/library/core/src/num/uint_macros.rs new file mode 100644 index 0000000000000..234c309961c9c --- /dev/null +++ b/library/core/src/num/uint_macros.rs @@ -0,0 +1,1955 @@ +macro_rules! uint_impl { + ($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!("The size of this integer type in bits. + +# Examples + +``` +", $Feature, "#![feature(int_bits_const)] +assert_eq!(", stringify!($SelfT), "::BITS, ", stringify!($BITS), ");", +$EndFeature, " +```"), + #[unstable(feature = "int_bits_const", issue = "76904")] + pub const BITS: u32 = $BITS; + } + + 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 { + 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);", $EndFeature, " +```"), + #[stable(feature = "rust1", since = "1.0.0")] + #[rustc_const_stable(feature = "const_checked_int_methods", since = "1.47.0")] + #[must_use = "this returns the result of the operation, \ + without modifying the original"] + #[inline] + pub const fn checked_add(self, rhs: Self) -> Option { + let (a, b) = self.overflowing_add(rhs); + if unlikely!(b) {None} else {Some(a)} + } + } + + doc_comment! { + concat!("Unchecked integer addition. Computes `self + rhs`, assuming overflow +cannot occur. This results in undefined behavior when `self + rhs > ", stringify!($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);", $EndFeature, " +```"), + #[stable(feature = "rust1", since = "1.0.0")] + #[rustc_const_stable(feature = "const_checked_int_methods", since = "1.47.0")] + #[must_use = "this returns the result of the operation, \ + without modifying the original"] + #[inline] + pub const fn checked_sub(self, rhs: Self) -> Option { + let (a, b) = self.overflowing_sub(rhs); + if unlikely!(b) {None} else {Some(a)} + } + } + + doc_comment! { + concat!("Unchecked integer subtraction. Computes `self - rhs`, assuming overflow +cannot occur. This results in undefined behavior when `self - rhs > ", stringify!($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);", $EndFeature, " +```"), + #[stable(feature = "rust1", since = "1.0.0")] + #[rustc_const_stable(feature = "const_checked_int_methods", since = "1.47.0")] + #[must_use = "this returns the result of the operation, \ + without modifying the original"] + #[inline] + pub const fn checked_mul(self, rhs: Self) -> Option { + let (a, b) = self.overflowing_mul(rhs); + if unlikely!(b) {None} else {Some(a)} + } + } + + doc_comment! { + concat!("Unchecked integer multiplication. Computes `self * rhs`, assuming overflow +cannot occur. This results in undefined behavior when `self * rhs > ", stringify!($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);", $EndFeature, " +```"), + #[stable(feature = "rust1", since = "1.0.0")] + #[rustc_const_unstable(feature = "const_checked_int_methods", issue = "53718")] + #[must_use = "this returns the result of the operation, \ + without modifying the original"] + #[inline] + pub const fn checked_div(self, rhs: Self) -> Option { + if unlikely!(rhs == 0) { + None + } else { + // SAFETY: div by zero has been checked above and unsigned types have no other + // failure modes for division + Some(unsafe { intrinsics::unchecked_div(self, rhs) }) + } + } + } + + doc_comment! { + concat!("Checked Euclidean division. Computes `self.div_euclid(rhs)`, returning `None` +if `rhs == 0`. + +# Examples + +Basic usage: + +``` +assert_eq!(128", stringify!($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 { + 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);", $EndFeature, " +```"), + #[stable(feature = "wrapping", since = "1.7.0")] + #[rustc_const_unstable(feature = "const_checked_int_methods", issue = "53718")] + #[must_use = "this returns the result of the operation, \ + without modifying the original"] + #[inline] + pub const fn checked_rem(self, rhs: Self) -> Option { + if unlikely!(rhs == 0) { + None + } else { + // SAFETY: div by zero has been checked above and unsigned types have no other + // failure modes for division + Some(unsafe { intrinsics::unchecked_rem(self, rhs) }) + } + } + } + + doc_comment! { + concat!("Checked Euclidean modulo. Computes `self.rem_euclid(rhs)`, returning `None` +if `rhs == 0`. + +# Examples + +Basic usage: + +``` +assert_eq!(5", stringify!($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 { + 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 { + 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 { + 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 { + 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 { + 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.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, ", $be_bytes, "); +```"), + #[stable(feature = "int_to_from_bytes", since = "1.32.0")] + #[rustc_const_stable(feature = "const_int_conversion", since = "1.44.0")] + #[inline] + pub const fn to_be_bytes(self) -> [u8; mem::size_of::()] { + self.to_be().to_ne_bytes() + } + } + + doc_comment! { + concat!("Return the memory representation of this integer as a byte array in +little-endian byte order. +", +$to_xe_bytes_doc, +" +# Examples + +``` +let bytes = ", $swap_op, stringify!($SelfT), ".to_le_bytes(); +assert_eq!(bytes, ", $le_bytes, "); +```"), + #[stable(feature = "int_to_from_bytes", since = "1.32.0")] + #[rustc_const_stable(feature = "const_int_conversion", since = "1.44.0")] + #[inline] + pub const fn to_le_bytes(self) -> [u8; mem::size_of::()] { + self.to_le().to_ne_bytes() + } + } + + doc_comment! { + concat!(" +Return the memory representation of this integer as a byte array in +native byte order. + +As the target platform's native endianness is used, portable code +should use [`to_be_bytes`] or [`to_le_bytes`], as appropriate, +instead. +", +$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 { + ", $le_bytes, " + } +); +```"), + #[stable(feature = "int_to_from_bytes", since = "1.32.0")] + #[rustc_const_stable(feature = "const_int_conversion", since = "1.44.0")] + // SAFETY: const sound because integers are plain old datatypes so we can always + // transmute them to arrays of bytes + #[allow_internal_unstable(const_fn_transmute)] + #[inline] + pub const fn to_ne_bytes(self) -> [u8; mem::size_of::()] { + // SAFETY: integers are plain old datatypes so we can always transmute them to + // arrays of bytes + unsafe { mem::transmute(self) } + } + } + + doc_comment! { + concat!("Create a native endian integer value from its representation +as a byte array in big endian. +", +$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!($SelfT), "::from_be_bytes(int_bytes.try_into().unwrap()) +} +```"), + #[stable(feature = "int_to_from_bytes", since = "1.32.0")] + #[rustc_const_stable(feature = "const_int_conversion", since = "1.44.0")] + #[inline] + pub const fn from_be_bytes(bytes: [u8; mem::size_of::()]) -> Self { + Self::from_be(Self::from_ne_bytes(bytes)) + } + } + + doc_comment! { + concat!(" +Create a native endian integer value from its representation +as a byte array in little endian. +", +$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!($SelfT), "::from_le_bytes(int_bytes.try_into().unwrap()) +} +```"), + #[stable(feature = "int_to_from_bytes", since = "1.32.0")] + #[rustc_const_stable(feature = "const_int_conversion", since = "1.44.0")] + #[inline] + pub const fn from_le_bytes(bytes: [u8; mem::size_of::()]) -> Self { + Self::from_le(Self::from_ne_bytes(bytes)) + } + } + + doc_comment! { + concat!("Create a native endian integer value from its memory representation +as a byte array in native endianness. + +As the target platform's native endianness is used, portable code +likely wants to use [`from_be_bytes`] or [`from_le_bytes`], as +appropriate instead. + +[`from_be_bytes`]: #method.from_be_bytes +[`from_le_bytes`]: #method.from_le_bytes +", +$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!($SelfT), "::from_ne_bytes(int_bytes.try_into().unwrap()) +} +```"), + #[stable(feature = "int_to_from_bytes", since = "1.32.0")] + #[rustc_const_stable(feature = "const_int_conversion", since = "1.44.0")] + // SAFETY: const sound because integers are plain old datatypes so we can always + // transmute to them + #[allow_internal_unstable(const_fn_transmute)] + #[inline] + pub const fn from_ne_bytes(bytes: [u8; mem::size_of::()]) -> Self { + // SAFETY: integers are plain old datatypes so we can always transmute to them + unsafe { mem::transmute(bytes) } + } + } + + doc_comment! { + concat!("**This method is soft-deprecated.** + +Although using it won’t cause compilation warning, +new code should use [`", stringify!($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 } + } + } +}