Auto merge of #93873 - Stovent:big-ints, r=m-ou-se

Reimplement `carrying_add` and `borrowing_sub` for signed integers.

As per the discussion in #85532, this PR reimplements `carrying_add` and `borrowing_sub` for signed integers.

It also adds unit tests for both unsigned and signed integers, emphasing on the behaviours of the methods.

Author: bors

library/core/src/num/int_macros.rs

@@ -1518,6 +1518,51 @@ macro_rules! int_impl {
             (a as Self, b)
         }
 
+        /// Calculates `self + rhs + carry` without the ability to overflow.
+        ///
+        /// Performs "signed ternary addition" which takes in an extra bit to add, and may return an
+        /// additional bit of overflow. This signed function is used only on the highest-ordered data,
+        /// for which the signed overflow result indicates whether the big integer overflowed or not.
+        ///
+        /// # Examples
+        ///
+        /// Basic usage:
+        ///
+        /// ```
+        /// #![feature(bigint_helper_methods)]
+        #[doc = concat!("assert_eq!(5", stringify!($SelfT), ".carrying_add(2, false), (7, false));")]
+        #[doc = concat!("assert_eq!(5", stringify!($SelfT), ".carrying_add(2, true), (8, false));")]
+        #[doc = concat!("assert_eq!(", stringify!($SelfT), "::MAX.carrying_add(1, false), (", stringify!($SelfT), "::MIN, true));")]
+        #[doc = concat!("assert_eq!(", stringify!($SelfT), "::MAX.carrying_add(0, true), (", stringify!($SelfT), "::MIN, true));")]
+        #[doc = concat!("assert_eq!(", stringify!($SelfT), "::MAX.carrying_add(1, true), (", stringify!($SelfT), "::MIN + 1, true));")]
+        #[doc = concat!("assert_eq!(",
+            stringify!($SelfT), "::MAX.carrying_add(", stringify!($SelfT), "::MAX, true), ",
+            "(-1, true));"
+        )]
+        #[doc = concat!("assert_eq!(", stringify!($SelfT), "::MIN.carrying_add(-1, true), (", stringify!($SelfT), "::MIN, false));")]
+        #[doc = concat!("assert_eq!(0", stringify!($SelfT), ".carrying_add(", stringify!($SelfT), "::MAX, true), (", stringify!($SelfT), "::MIN, true));")]
+        /// ```
+        ///
+        /// If `carry` is false, this method is equivalent to [`overflowing_add`](Self::overflowing_add):
+        ///
+        /// ```
+        /// #![feature(bigint_helper_methods)]
+        #[doc = concat!("assert_eq!(5_", stringify!($SelfT), ".carrying_add(2, false), 5_", stringify!($SelfT), ".overflowing_add(2));")]
+        #[doc = concat!("assert_eq!(", stringify!($SelfT), "::MAX.carrying_add(1, false), ", stringify!($SelfT), "::MAX.overflowing_add(1));")]
+        /// ```
+        #[unstable(feature = "bigint_helper_methods", issue = "85532")]
+        #[rustc_const_unstable(feature = "const_bigint_helper_methods", issue = "85532")]
+        #[must_use = "this returns the result of the operation, \
+                      without modifying the original"]
+        #[inline]
+        pub const fn carrying_add(self, rhs: Self, carry: bool) -> (Self, bool) {
+            // note: longer-term this should be done via an intrinsic.
+            // note: no intermediate overflow is required (https://github.com/rust-lang/rust/issues/85532#issuecomment-1032214946).
+            let (a, b) = self.overflowing_add(rhs);
+            let (c, d) = a.overflowing_add(carry as $SelfT);
+            (c, b != d)
+        }
+
         /// Calculates `self` + `rhs` with an unsigned `rhs`
         ///
         /// Returns a tuple of the addition along with a boolean indicating
@@ -1569,6 +1614,39 @@ macro_rules! int_impl {
             (a as Self, b)
         }
 
+        /// Calculates `self - rhs - borrow` without the ability to overflow.
+        ///
+        /// Performs "signed ternary subtraction" which takes in an extra bit to subtract, and may return an
+        /// additional bit of overflow. This signed function is used only on the highest-ordered data,
+        /// for which the signed overflow result indicates whether the big integer overflowed or not.
+        ///
+        /// # Examples
+        ///
+        /// Basic usage:
+        ///
+        /// ```
+        /// #![feature(bigint_helper_methods)]
+        #[doc = concat!("assert_eq!(5", stringify!($SelfT), ".borrowing_sub(2, false), (3, false));")]
+        #[doc = concat!("assert_eq!(5", stringify!($SelfT), ".borrowing_sub(2, true), (2, false));")]
+        #[doc = concat!("assert_eq!(0", stringify!($SelfT), ".borrowing_sub(1, false), (-1, false));")]
+        #[doc = concat!("assert_eq!(0", stringify!($SelfT), ".borrowing_sub(1, true), (-2, false));")]
+        #[doc = concat!("assert_eq!(", stringify!($SelfT), "::MIN.borrowing_sub(1, true), (", stringify!($SelfT), "::MAX - 1, true));")]
+        #[doc = concat!("assert_eq!(", stringify!($SelfT), "::MAX.borrowing_sub(-1, false), (", stringify!($SelfT), "::MIN, true));")]
+        #[doc = concat!("assert_eq!(", stringify!($SelfT), "::MAX.borrowing_sub(-1, true), (", stringify!($SelfT), "::MAX, false));")]
+        /// ```
+        #[unstable(feature = "bigint_helper_methods", issue = "85532")]
+        #[rustc_const_unstable(feature = "const_bigint_helper_methods", issue = "85532")]
+        #[must_use = "this returns the result of the operation, \
+                      without modifying the original"]
+        #[inline]
+        pub const fn borrowing_sub(self, rhs: Self, borrow: bool) -> (Self, bool) {
+            // note: longer-term this should be done via an intrinsic.
+            // note: no intermediate overflow is required (https://github.com/rust-lang/rust/issues/85532#issuecomment-1032214946).
+            let (a, b) = self.overflowing_sub(rhs);
+            let (c, d) = a.overflowing_sub(borrow as $SelfT);
+            (c, b != d)
+        }
+
         /// Calculates `self` - `rhs` with an unsigned `rhs`
         ///
         /// Returns a tuple of the subtraction along with a boolean indicating

library/core/tests/lib.rs

@@ -3,6 +3,7 @@
 #![feature(array_methods)]
 #![feature(array_windows)]
 #![feature(bench_black_box)]
+#![feature(bigint_helper_methods)]
 #![feature(cell_update)]
 #![feature(const_assume)]
 #![feature(const_black_box)]

library/core/tests/num/int_macros.rs

@@ -338,6 +338,32 @@ macro_rules! int_module {
                 assert_eq!(MIN.checked_next_multiple_of(-3), None);
                 assert_eq!(MIN.checked_next_multiple_of(-1), Some(MIN));
             }
+
+            #[test]
+            fn test_carrying_add() {
+                assert_eq!($T::MAX.carrying_add(1, false), ($T::MIN, true));
+                assert_eq!($T::MAX.carrying_add(0, true), ($T::MIN, true));
+                assert_eq!($T::MAX.carrying_add(1, true), ($T::MIN + 1, true));
+                assert_eq!($T::MAX.carrying_add(-1, false), ($T::MAX - 1, false));
+                assert_eq!($T::MAX.carrying_add(-1, true), ($T::MAX, false)); // no intermediate overflow
+                assert_eq!($T::MIN.carrying_add(-1, false), ($T::MAX, true));
+                assert_eq!($T::MIN.carrying_add(-1, true), ($T::MIN, false)); // no intermediate overflow
+                assert_eq!((0 as $T).carrying_add($T::MAX, true), ($T::MIN, true));
+                assert_eq!((0 as $T).carrying_add($T::MIN, true), ($T::MIN + 1, false));
+            }
+
+            #[test]
+            fn test_borrowing_sub() {
+                assert_eq!($T::MIN.borrowing_sub(1, false), ($T::MAX, true));
+                assert_eq!($T::MIN.borrowing_sub(0, true), ($T::MAX, true));
+                assert_eq!($T::MIN.borrowing_sub(1, true), ($T::MAX - 1, true));
+                assert_eq!($T::MIN.borrowing_sub(-1, false), ($T::MIN + 1, false));
+                assert_eq!($T::MIN.borrowing_sub(-1, true), ($T::MIN, false)); // no intermediate overflow
+                assert_eq!($T::MAX.borrowing_sub(-1, false), ($T::MIN, true));
+                assert_eq!($T::MAX.borrowing_sub(-1, true), ($T::MAX, false)); // no intermediate overflow
+                assert_eq!((0 as $T).borrowing_sub($T::MIN, false), ($T::MIN, true));
+                assert_eq!((0 as $T).borrowing_sub($T::MIN, true), ($T::MAX, false));
+            }
         }
     };
 }

library/core/tests/num/uint_macros.rs

@@ -230,6 +230,28 @@ macro_rules! uint_module {
                 assert_eq!((1 as $T).checked_next_multiple_of(0), None);
                 assert_eq!(MAX.checked_next_multiple_of(2), None);
             }
+
+            #[test]
+            fn test_carrying_add() {
+                assert_eq!($T::MAX.carrying_add(1, false), (0, true));
+                assert_eq!($T::MAX.carrying_add(0, true), (0, true));
+                assert_eq!($T::MAX.carrying_add(1, true), (1, true));
+
+                assert_eq!($T::MIN.carrying_add($T::MAX, false), ($T::MAX, false));
+                assert_eq!($T::MIN.carrying_add(0, true), (1, false));
+                assert_eq!($T::MIN.carrying_add($T::MAX, true), (0, true));
+            }
+
+            #[test]
+            fn test_borrowing_sub() {
+                assert_eq!($T::MIN.borrowing_sub(1, false), ($T::MAX, true));
+                assert_eq!($T::MIN.borrowing_sub(0, true), ($T::MAX, true));
+                assert_eq!($T::MIN.borrowing_sub(1, true), ($T::MAX - 1, true));
+
+                assert_eq!($T::MAX.borrowing_sub($T::MAX, false), (0, false));
+                assert_eq!($T::MAX.borrowing_sub(0, true), ($T::MAX - 1, false));
+                assert_eq!($T::MAX.borrowing_sub($T::MAX, true), ($T::MAX, true));
+            }
         }
     };
 }