@@ -2421,7 +2421,7 @@ macro_rules! uint_impl {
24212421 }
24222422
24232423 /// Calculates `self` + `rhs` + `carry` and returns a tuple containing
2424- /// the sum and the output carry.
2424+ /// the sum and the output carry (in that order) .
24252425 ///
24262426 /// Performs "ternary addition" of two integer operands and a carry-in
24272427 /// bit, and returns an output integer and a carry-out bit. This allows
@@ -2439,8 +2439,6 @@ macro_rules! uint_impl {
24392439 /// # Examples
24402440 ///
24412441 /// ```
2442- /// #![feature(bigint_helper_methods)]
2443- ///
24442442 #[ doc = concat!( "// 3 MAX (a = 3 × 2^" , stringify!( $BITS) , " + 2^" , stringify!( $BITS) , " - 1)" ) ]
24452443 #[ doc = concat!( "// + 5 7 (b = 5 × 2^" , stringify!( $BITS) , " + 7)" ) ]
24462444 /// // ---------
@@ -2457,7 +2455,7 @@ macro_rules! uint_impl {
24572455 ///
24582456 /// assert_eq!((sum1, sum0), (9, 6));
24592457 /// ```
2460- #[ unstable ( feature = "bigint_helper_methods " , issue = "85532 " ) ]
2458+ #[ stable ( feature = "min_bigint_helpers " , since = "CURRENT_RUSTC_VERSION " ) ]
24612459 #[ rustc_const_unstable( feature = "bigint_helper_methods" , issue = "85532" ) ]
24622460 #[ must_use = "this returns the result of the operation, \
24632461 without modifying the original"]
@@ -2644,25 +2642,41 @@ macro_rules! uint_impl {
26442642 ( a as Self , b)
26452643 }
26462644
2647- /// Calculates the complete product `self * rhs` without the possibility to overflow .
2645+ /// Calculates the complete double-width product `self * rhs`.
26482646 ///
26492647 /// This returns the low-order (wrapping) bits and the high-order (overflow) bits
2650- /// of the result as two separate values, in that order.
2648+ /// of the result as two separate values, in that order. As such,
2649+ /// `a.widening_mul(b).0` produces the same result as `a.wrapping_mul(b)`.
2650+ ///
2651+ /// If you also need to add a value and/or carry to the wide result, then you want
2652+ /// [`Self::carrying_mul_add`] instead.
26512653 ///
2652- /// If you also need to add a carry to the wide result , then you want
2653- /// [`Self::carrying_mul `] instead.
2654+ /// If you just want to know *whether* the multiplication overflowed , then you
2655+ /// want [`Self::overflowing_mul `] instead.
26542656 ///
26552657 /// # Examples
26562658 ///
2659+ /// ```
2660+ #[ doc = concat!( "assert_eq!(5_" , stringify!( $SelfT) , ".widening_mul(7), (35, 0));" ) ]
2661+ #[ doc = concat!( "assert_eq!(" , stringify!( $SelfT) , "::MAX.widening_mul(" , stringify!( $SelfT) , "::MAX), (1, " , stringify!( $SelfT) , "::MAX - 1));" ) ]
2662+ /// ```
2663+ ///
2664+ /// Compared to other `*_mul` methods:
2665+ /// ```
2666+ #[ doc = concat!( "assert_eq!(" , stringify!( $SelfT) , "::widening_mul(1 << " , stringify!( $BITS_MINUS_ONE) , ", 6), (0, 3));" ) ]
2667+ #[ doc = concat!( "assert_eq!(" , stringify!( $SelfT) , "::overflowing_mul(1 << " , stringify!( $BITS_MINUS_ONE) , ", 6), (0, true));" ) ]
2668+ #[ doc = concat!( "assert_eq!(" , stringify!( $SelfT) , "::wrapping_mul(1 << " , stringify!( $BITS_MINUS_ONE) , ", 6), 0);" ) ]
2669+ #[ doc = concat!( "assert_eq!(" , stringify!( $SelfT) , "::checked_mul(1 << " , stringify!( $BITS_MINUS_ONE) , ", 6), None);" ) ]
2670+ /// ```
2671+ ///
26572672 /// Please note that this example is shared between integer types.
26582673 /// Which explains why `u32` is used here.
26592674 ///
26602675 /// ```
2661- /// #![feature(bigint_helper_methods)]
26622676 /// assert_eq!(5u32.widening_mul(2), (10, 0));
26632677 /// assert_eq!(1_000_000_000u32.widening_mul(10), (1410065408, 2));
26642678 /// ```
2665- #[ unstable ( feature = "bigint_helper_methods " , issue = "85532 " ) ]
2679+ #[ stable ( feature = "min_bigint_helpers " , since = "CURRENT_RUSTC_VERSION " ) ]
26662680 #[ rustc_const_unstable( feature = "bigint_helper_methods" , issue = "85532" ) ]
26672681 #[ must_use = "this returns the result of the operation, \
26682682 without modifying the original"]
@@ -2756,26 +2770,27 @@ macro_rules! uint_impl {
27562770 Self :: carrying_mul_add( self , rhs, carry, 0 )
27572771 }
27582772
2759- /// Calculates the "full multiplication" `self * rhs + carry1 + carry2`
2760- /// without the possibility to overflow.
2773+ /// Calculates the "full multiplication" `self * rhs + carry1 + carry2`.
27612774 ///
27622775 /// This returns the low-order (wrapping) bits and the high-order (overflow) bits
27632776 /// of the result as two separate values, in that order.
27642777 ///
2778+ /// This cannot overflow, as the double-width result has exactly enough
2779+ /// space for the largest possible result. This is equivalent to how, in
2780+ /// decimal, 9 × 9 + 9 + 9 = 81 + 18 = 99 = 9×10⁰ + 9×10¹ = 10² - 1.
2781+ ///
27652782 /// Performs "long multiplication" which takes in an extra amount to add, and may return an
27662783 /// additional amount of overflow. This allows for chaining together multiple
27672784 /// multiplications to create "big integers" which represent larger values.
27682785 ///
2769- /// If you don't need either `carry`, then you can use [`Self::widening_mul`] instead,
2770- /// and if you only need one `carry`, then you can use [`Self::carrying_mul`] instead.
2786+ /// If you don't need either `carry`, then you can use [`Self::widening_mul`] instead.
27712787 ///
27722788 /// # Examples
27732789 ///
27742790 /// Please note that this example is shared between integer types,
27752791 /// which explains why `u32` is used here.
27762792 ///
27772793 /// ```
2778- /// #![feature(bigint_helper_methods)]
27792794 /// assert_eq!(5u32.carrying_mul_add(2, 0, 0), (10, 0));
27802795 /// assert_eq!(5u32.carrying_mul_add(2, 10, 10), (30, 0));
27812796 /// assert_eq!(1_000_000_000u32.carrying_mul_add(10, 0, 0), (1410065408, 2));
@@ -2792,8 +2807,6 @@ macro_rules! uint_impl {
27922807 /// using `u8` for simplicity of the demonstration.
27932808 ///
27942809 /// ```
2795- /// #![feature(bigint_helper_methods)]
2796- ///
27972810 /// fn quadratic_mul<const N: usize>(a: [u8; N], b: [u8; N]) -> [u8; N] {
27982811 /// let mut out = [0; N];
27992812 /// for j in 0..N {
@@ -2808,13 +2821,13 @@ macro_rules! uint_impl {
28082821 /// // -1 * -1 == 1
28092822 /// assert_eq!(quadratic_mul([0xFF; 3], [0xFF; 3]), [1, 0, 0]);
28102823 ///
2811- /// assert_eq!(u32::wrapping_mul(0x9e3779b9, 0x7f4a7c15), 0xCFFC982D );
2824+ /// assert_eq!(u32::wrapping_mul(0x9e3779b9, 0x7f4a7c15), 0xcffc982d );
28122825 /// assert_eq!(
28132826 /// quadratic_mul(u32::to_le_bytes(0x9e3779b9), u32::to_le_bytes(0x7f4a7c15)),
2814- /// u32::to_le_bytes(0xCFFC982D )
2827+ /// u32::to_le_bytes(0xcffc982d )
28152828 /// );
28162829 /// ```
2817- #[ unstable ( feature = "bigint_helper_methods " , issue = "85532 " ) ]
2830+ #[ stable ( feature = "min_bigint_helpers " , since = "CURRENT_RUSTC_VERSION " ) ]
28182831 #[ rustc_const_unstable( feature = "bigint_helper_methods" , issue = "85532" ) ]
28192832 #[ must_use = "this returns the result of the operation, \
28202833 without modifying the original"]
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