use int::Int; macro_rules! div { ($intrinsic:ident: $ty:ty, $uty:ty) => { div!($intrinsic: $ty, $uty, $ty, |i| {i}); }; ($intrinsic:ident: $ty:ty, $uty:ty, $tyret:ty, $conv:expr) => { /// Returns `a / b` #[cfg_attr(not(test), no_mangle)] pub extern "C" fn $intrinsic(a: $ty, b: $ty) -> $tyret { let s_a = a >> (<$ty>::bits() - 1); let s_b = b >> (<$ty>::bits() - 1); // NOTE it's OK to overflow here because of the `as $uty` cast below // This whole operation is computing the absolute value of the inputs // So some overflow will happen when dealing with e.g. `i64::MIN` // where the absolute value is `(-i64::MIN) as u64` let a = (a ^ s_a).wrapping_sub(s_a); let b = (b ^ s_b).wrapping_sub(s_b); let s = s_a ^ s_b; let r = udiv!(a as $uty, b as $uty); ($conv)((r as $ty ^ s) - s) } } } macro_rules! mod_ { ($intrinsic:ident: $ty:ty, $uty:ty) => { mod_!($intrinsic: $ty, $uty, $ty, |i| {i}); }; ($intrinsic:ident: $ty:ty, $uty:ty, $tyret:ty, $conv:expr) => { /// Returns `a % b` #[cfg_attr(not(test), no_mangle)] pub extern "C" fn $intrinsic(a: $ty, b: $ty) -> $tyret { let s = b >> (<$ty>::bits() - 1); // NOTE(wrapping_sub) see comment in the `div` macro let b = (b ^ s).wrapping_sub(s); let s = a >> (<$ty>::bits() - 1); let a = (a ^ s).wrapping_sub(s); let r = urem!(a as $uty, b as $uty); ($conv)((r as $ty ^ s) - s) } } } macro_rules! divmod { ($abi:tt, $intrinsic:ident, $div:ident: $ty:ty) => { /// Returns `a / b` and sets `*rem = n % d` #[cfg_attr(not(test), no_mangle)] pub extern $abi fn $intrinsic(a: $ty, b: $ty, rem: &mut $ty) -> $ty { #[cfg(all(feature = "c", any(target_arch = "x86")))] extern { fn $div(a: $ty, b: $ty) -> $ty; } let r = match () { #[cfg(not(all(feature = "c", any(target_arch = "x86"))))] () => $div(a, b), #[cfg(all(feature = "c", any(target_arch = "x86")))] () => unsafe { $div(a, b) }, }; // NOTE won't overflow because it's using the result from the // previous division *rem = a - r.wrapping_mul(b); r } } } #[cfg(not(all(feature = "c", target_arch = "arm", not(target_os = "ios"), not(thumbv6m))))] div!(__divsi3: i32, u32); #[cfg(not(all(feature = "c", target_arch = "x86")))] div!(__divdi3: i64, u64); #[cfg(not(all(windows, target_pointer_width="64")))] div!(__divti3: i128, u128); #[cfg(all(windows, target_pointer_width="64"))] div!(__divti3: i128, u128, ::U64x2, ::sconv); #[cfg(not(all(feature = "c", target_arch = "arm", not(target_os = "ios"))))] mod_!(__modsi3: i32, u32); #[cfg(not(all(feature = "c", target_arch = "x86")))] mod_!(__moddi3: i64, u64); #[cfg(not(all(windows, target_pointer_width="64")))] mod_!(__modti3: i128, u128); #[cfg(all(windows, target_pointer_width="64"))] mod_!(__modti3: i128, u128, ::U64x2, ::sconv); #[cfg(not(all(feature = "c", target_arch = "arm", not(target_os = "ios"))))] divmod!("C", __divmodsi4, __divsi3: i32); #[cfg(target_arch = "arm")] divmod!("aapcs", __divmoddi4, __divdi3: i64); #[cfg(not(target_arch = "arm"))] divmod!("C", __divmoddi4, __divdi3: i64);