Various changes

This commit is contained in:
Amanieu d'Antras 2016-08-13 09:51:54 +01:00
parent 0a0a8f37c9
commit acceaa95f1
8 changed files with 568 additions and 422 deletions

View File

@ -37,8 +37,8 @@ See [rust-lang/rust#35437][0].
- [x] arm/aeabi_memcpy.S - [x] arm/aeabi_memcpy.S
- [x] arm/aeabi_memmove.S - [x] arm/aeabi_memmove.S
- [x] arm/aeabi_memset.S - [x] arm/aeabi_memset.S
- [ ] arm/aeabi_uidivmod.S - [x] arm/aeabi_uidivmod.S
- [ ] arm/aeabi_uldivmod.S - [x] arm/aeabi_uldivmod.S
- [ ] arm/divdf3vfp.S - [ ] arm/divdf3vfp.S
- [ ] arm/divmodsi4.S - [ ] arm/divmodsi4.S
- [ ] arm/divsf3vfp.S - [ ] arm/divsf3vfp.S
@ -78,41 +78,30 @@ See [rust-lang/rust#35437][0].
- [ ] arm/umodsi3.S - [ ] arm/umodsi3.S
- [ ] arm/unorddf2vfp.S - [ ] arm/unorddf2vfp.S
- [ ] arm/unordsf2vfp.S - [ ] arm/unordsf2vfp.S
- [ ] ashldi3.c - [x] ashldi3.c
- [ ] ashlti3.c - [x] ashrdi3.c
- [ ] ashrdi3.c
- [ ] ashrti3.c
- [ ] divdf3.c - [ ] divdf3.c
- [ ] divdi3.c - [ ] divdi3.c
- [ ] divsf3.c - [ ] divsf3.c
- [ ] divsi3.c - [ ] divsi3.c
- [ ] divti3.c
- [ ] extendhfsf2.c - [ ] extendhfsf2.c
- [ ] extendsfdf2.c - [ ] extendsfdf2.c
- [ ] fixdfdi.c - [ ] fixdfdi.c
- [ ] fixdfsi.c - [ ] fixdfsi.c
- [ ] fixdfti.c
- [ ] fixsfdi.c - [ ] fixsfdi.c
- [ ] fixsfsi.c - [ ] fixsfsi.c
- [ ] fixsfti.c
- [ ] fixunsdfdi.c - [ ] fixunsdfdi.c
- [ ] fixunsdfsi.c - [ ] fixunsdfsi.c
- [ ] fixunsdfti.c
- [ ] fixunssfdi.c - [ ] fixunssfdi.c
- [ ] fixunssfsi.c - [ ] fixunssfsi.c
- [ ] fixunssfti.c
- [ ] floatdidf.c - [ ] floatdidf.c
- [ ] floatdisf.c - [ ] floatdisf.c
- [ ] floatsidf.c - [ ] floatsidf.c
- [ ] floatsisf.c - [ ] floatsisf.c
- [ ] floattidf.c
- [ ] floattisf.c
- [ ] floatundidf.c - [ ] floatundidf.c
- [ ] floatundisf.c - [ ] floatundisf.c
- [ ] floatunsidf.c - [ ] floatunsidf.c
- [ ] floatunsisf.c - [ ] floatunsisf.c
- [ ] floatuntidf.c
- [ ] floatuntisf.c
- [ ] i386/ashldi3.S - [ ] i386/ashldi3.S
- [ ] i386/ashrdi3.S - [ ] i386/ashrdi3.S
- [ ] i386/chkstk.S - [ ] i386/chkstk.S
@ -123,18 +112,14 @@ See [rust-lang/rust#35437][0].
- [ ] i386/muldi3.S - [ ] i386/muldi3.S
- [ ] i386/udivdi3.S - [ ] i386/udivdi3.S
- [ ] i386/umoddi3.S - [ ] i386/umoddi3.S
- [ ] lshrdi3.c - [x] lshrdi3.c
- [ ] lshrti3.c
- [ ] moddi3.c - [ ] moddi3.c
- [ ] modsi3.c - [ ] modsi3.c
- [ ] modti3.c
- [ ] muldf3.c - [ ] muldf3.c
- [ ] muldi3.c - [x] muldi3.c
- [ ] mulodi4.c - [x] mulodi4.c
- [ ] mulosi4.c - [x] mulosi4.c
- [ ] muloti4.c
- [ ] mulsf3.c - [ ] mulsf3.c
- [ ] multi3.c
- [ ] powidf2.c - [ ] powidf2.c
- [ ] powisf2.c - [ ] powisf2.c
- [ ] subdf3.c - [ ] subdf3.c
@ -142,17 +127,36 @@ See [rust-lang/rust#35437][0].
- [ ] truncdfhf2.c - [ ] truncdfhf2.c
- [ ] truncdfsf2.c - [ ] truncdfsf2.c
- [ ] truncsfhf2.c - [ ] truncsfhf2.c
- [ ] udivdi3.c - [x] udivdi3.c
- [x] udivmoddi4.c - [x] udivmoddi4.c
- [x] udivmodsi4.c - [x] udivmodsi4.c
- [ ] udivsi3.c - [x] udivsi3.c
- [ ] udivti3.c - [x] umoddi3.c
- [ ] umoddi3.c - [x] umodsi3.c
- [ ] umodsi3.c
- [ ] umodti3.c
- [ ] x86_64/chkstk.S - [ ] x86_64/chkstk.S
- [ ] x86_64/chkstk2.S - [ ] x86_64/chkstk2.S
These builtins are needed to support 128-bit integers, which are in the process of being added to Rust.
- [ ] ashlti3.c
- [ ] ashrti3.c
- [ ] divti3.c
- [ ] fixdfti.c
- [ ] fixsfti.c
- [ ] fixunsdfti.c
- [ ] fixunssfti.c
- [ ] floattidf.c
- [ ] floattisf.c
- [ ] floatuntidf.c
- [ ] floatuntisf.c
- [ ] lshrti3.c
- [ ] modti3.c
- [ ] muloti4.c
- [ ] multi3.c
- [ ] udivmodti4.c
- [ ] udivti3.c
- [ ] umodti3.c
## Unimplemented functions ## Unimplemented functions
These builtins involve floating-point types ("`f128`", "`f80`" and complex numbers) that are not supported by Rust. These builtins involve floating-point types ("`f128`", "`f80`" and complex numbers) that are not supported by Rust.

View File

@ -2,33 +2,28 @@ use core::intrinsics;
// NOTE This function and the one below are implemented using assembly because they using a custom // NOTE This function and the one below are implemented using assembly because they using a custom
// calling convention which can't be implemented using a normal Rust function // calling convention which can't be implemented using a normal Rust function
// TODO use `global_asm!`
#[naked] #[naked]
#[no_mangle] #[cfg_attr(not(test), no_mangle)]
pub unsafe extern "aapcs" fn __aeabi_uidivmod() { pub unsafe fn __aeabi_uidivmod() {
asm!("push { lr } asm!("push {lr}
sub sp, sp, #4 sub sp, sp, #4
mov r2, sp mov r2, sp
bl __udivmodsi4 bl __udivmodsi4
ldr r1, [sp] ldr r1, [sp], #4
add sp, sp, #4 pop {pc}");
pop { pc }");
intrinsics::unreachable(); intrinsics::unreachable();
} }
// TODO use `global_asm!`
#[naked] #[naked]
#[no_mangle] #[cfg_attr(not(test), no_mangle)]
pub unsafe extern "aapcs" fn __aeabi_uldivmod() { pub unsafe fn __aeabi_uldivmod() {
asm!("push {r11, lr} asm!("push {lr}
sub sp, sp, #16 sub r12, sp, #12
add r12, sp, #8 str r12, [sp, #-20]!
str r12, [sp] bl __udivmoddi4
bl __udivmoddi4 ldrd r2, r3, [sp, #8]
ldr r2, [sp, #8] add sp, sp, #20
ldr r3, [sp, #12] pop {pc}");
add sp, sp, #16
pop {r11, pc}");
intrinsics::unreachable(); intrinsics::unreachable();
} }
@ -40,55 +35,55 @@ extern "C" {
// FIXME: The `*4` and `*8` variants should be defined as aliases. // FIXME: The `*4` and `*8` variants should be defined as aliases.
#[no_mangle] #[cfg_attr(not(test), no_mangle)]
pub unsafe extern "aapcs" fn __aeabi_memcpy(dest: *mut u8, src: *const u8, n: usize) { pub unsafe extern "C" fn __aeabi_memcpy(dest: *mut u8, src: *const u8, n: usize) {
memcpy(dest, src, n); memcpy(dest, src, n);
} }
#[no_mangle] #[cfg_attr(not(test), no_mangle)]
pub unsafe extern "aapcs" fn __aeabi_memcpy4(dest: *mut u8, src: *const u8, n: usize) { pub unsafe extern "C" fn __aeabi_memcpy4(dest: *mut u8, src: *const u8, n: usize) {
memcpy(dest, src, n); memcpy(dest, src, n);
} }
#[no_mangle] #[cfg_attr(not(test), no_mangle)]
pub unsafe extern "aapcs" fn __aeabi_memcpy8(dest: *mut u8, src: *const u8, n: usize) { pub unsafe extern "C" fn __aeabi_memcpy8(dest: *mut u8, src: *const u8, n: usize) {
memcpy(dest, src, n); memcpy(dest, src, n);
} }
#[no_mangle] #[cfg_attr(not(test), no_mangle)]
pub unsafe extern "aapcs" fn __aeabi_memmove(dest: *mut u8, src: *const u8, n: usize) { pub unsafe extern "C" fn __aeabi_memmove(dest: *mut u8, src: *const u8, n: usize) {
memmove(dest, src, n); memmove(dest, src, n);
} }
#[no_mangle] #[cfg_attr(not(test), no_mangle)]
pub unsafe extern "aapcs" fn __aeabi_memmove4(dest: *mut u8, src: *const u8, n: usize) { pub unsafe extern "C" fn __aeabi_memmove4(dest: *mut u8, src: *const u8, n: usize) {
memmove(dest, src, n); memmove(dest, src, n);
} }
#[no_mangle] #[cfg_attr(not(test), no_mangle)]
pub unsafe extern "aapcs" fn __aeabi_memmove8(dest: *mut u8, src: *const u8, n: usize) { pub unsafe extern "C" fn __aeabi_memmove8(dest: *mut u8, src: *const u8, n: usize) {
memmove(dest, src, n); memmove(dest, src, n);
} }
// Note the different argument order // Note the different argument order
#[no_mangle] #[cfg_attr(not(test), no_mangle)]
pub unsafe extern "aapcs" fn __aeabi_memset(dest: *mut u8, n: usize, c: i32) { pub unsafe extern "C" fn __aeabi_memset(dest: *mut u8, n: usize, c: i32) {
memset(dest, c, n); memset(dest, c, n);
} }
#[no_mangle] #[cfg_attr(not(test), no_mangle)]
pub unsafe extern "aapcs" fn __aeabi_memset4(dest: *mut u8, n: usize, c: i32) { pub unsafe extern "C" fn __aeabi_memset4(dest: *mut u8, n: usize, c: i32) {
memset(dest, c, n); memset(dest, c, n);
} }
#[no_mangle] #[cfg_attr(not(test), no_mangle)]
pub unsafe extern "aapcs" fn __aeabi_memset8(dest: *mut u8, n: usize, c: i32) { pub unsafe extern "C" fn __aeabi_memset8(dest: *mut u8, n: usize, c: i32) {
memset(dest, c, n); memset(dest, c, n);
} }
#[no_mangle] #[cfg_attr(not(test), no_mangle)]
pub unsafe extern "aapcs" fn __aeabi_memclr(dest: *mut u8, n: usize) { pub unsafe extern "C" fn __aeabi_memclr(dest: *mut u8, n: usize) {
memset(dest, 0, n); memset(dest, 0, n);
} }
#[no_mangle] #[cfg_attr(not(test), no_mangle)]
pub unsafe extern "aapcs" fn __aeabi_memclr4(dest: *mut u8, n: usize) { pub unsafe extern "C" fn __aeabi_memclr4(dest: *mut u8, n: usize) {
memset(dest, 0, n); memset(dest, 0, n);
} }
#[no_mangle] #[cfg_attr(not(test), no_mangle)]
pub unsafe extern "aapcs" fn __aeabi_memclr8(dest: *mut u8, n: usize) { pub unsafe extern "C" fn __aeabi_memclr8(dest: *mut u8, n: usize) {
memset(dest, 0, n); memset(dest, 0, n);
} }

View File

@ -1,271 +0,0 @@
use {Int, LargeInt, U64};
/// Returns `n / d`
#[no_mangle]
pub extern "C" fn __udivsi3(n: u32, d: u32) -> u32 {
let u32_bits = u32::bits() as u32;
// Special cases
if d == 0 {
panic!("Division by zero");
}
if n == 0 {
return 0;
}
let mut sr = d.leading_zeros().wrapping_sub(n.leading_zeros());
// d > n
if sr > u32_bits - 1 {
return 0;
}
// d == 1
if sr == u32_bits - 1 {
return n;
}
sr = sr + 1;
// 1 <= sr <= u32_bits - 1
let mut q = n << (u32_bits - sr);
let mut r = n >> sr;
let mut carry = 0;
for _ in 0..sr {
// r:q = ((r:q) << 1) | carry
r = (r << 1) | (q >> (u32_bits - 1));
q = (q << 1) | carry;
// carry = 0;
// if r > d {
// r -= d;
// carry = 1;
// }
let s = (d.wrapping_sub(r).wrapping_sub(1)) as i32 >> (u32_bits - 1);
carry = (s & 1) as u32;
r -= d & s as u32;
}
(q << 1) | carry
}
/// Returns `n / d` and sets `*rem = n % d`
#[no_mangle]
pub extern "C" fn __udivmodsi4(a: u32, b: u32, rem: Option<&mut u32>) -> u32 {
let d = __udivsi3(a, b);
if let Some(rem) = rem {
*rem = a - (d * b);
}
return d;
}
/// Returns `n / d` and sets `*rem = n % d`
#[no_mangle]
pub extern "C" fn __udivmoddi4(n: u64, d: u64, rem: Option<&mut u64>) -> u64 {
let u32_bits = u32::bits() as u32;
let u64_bits = u64::bits() as u32;
// NOTE X is unknown, K != 0
if n.high() == 0 {
if d.high() == 0 {
// 0 X
// ---
// 0 X
if let Some(rem) = rem {
*rem = u64::from(n.low() % d.low());
}
return u64::from(n.low() / d.low());
} else
// d.high() != 0
{
// 0 X
// ---
// K X
if let Some(rem) = rem {
*rem = u64::from(n.low());
}
return 0;
};
}
let mut sr;
let mut q = U64 { low: 0, high: 0 };
let mut r = U64 { low: 0, high: 0 };
// n.high() != 0
if d.low() == 0 {
if d.high() == 0 {
// K X
// ---
// 0 0
panic!("Division by zero");
}
// d.high() != 0
if n.low() == 0 {
// K 0
// ---
// K 0
if let Some(rem) = rem {
*rem = U64 {
low: 0,
high: n.high() % d.high(),
}[..];
}
return u64::from(n.high() / d.high());
}
// n.low() != 0
// K K
// ---
// K 0
if d.high().is_power_of_two() {
if let Some(rem) = rem {
*rem = U64 {
low: n.low(),
high: n.high() & (d.high() - 1),
}[..];
}
return u64::from(n.high() >> d.high().trailing_zeros());
}
sr = d.high().leading_zeros().wrapping_sub(n.high().leading_zeros());
// D > N
if sr > u32_bits - 2 {
if let Some(rem) = rem {
*rem = n;
}
return 0;
}
sr = sr + 1;
// 1 <= sr <= u32_bits - 1
// q = n << (u64_bits - sr);
q.low = 0;
q.high = n.low() << (u32_bits - sr);
// r = n >> sr
r.high = n.high() >> sr;
r.low = (n.high() << (u32_bits - sr)) | (n.low() >> sr);
} else
// d.low() != 0
{
if d.high() == 0 {
// K X
// ---
// 0 K
if d.low().is_power_of_two() {
if let Some(rem) = rem {
*rem = u64::from(n.low() & (d.low() - 1));
}
if d.low() == 1 {
return n;
} else {
let sr = d.low().trailing_zeros();
return U64 {
low: (n.high() << (u32_bits - sr)) | (n.low() >> sr),
high: n.high() >> sr,
}[..];
};
}
sr = 1 + u32_bits + d.low().leading_zeros() - n.high().leading_zeros();
// 2 <= sr <= u64_bits - 1
// q = n << (u64_bits - sr)
// r = n >> sr;
if sr == u32_bits {
q.low = 0;
q.high = n.low();
r.high = 0;
r.low = n.high();
} else if sr < u32_bits
// 2 <= sr <= u32_bits - 1
{
q.low = 0;
q.high = n.low() << (u32_bits - sr);
r.high = n.high() >> sr;
r.low = (n.high() << (u32_bits - sr)) | (n.low() >> sr);
} else
// u32_bits + 1 <= sr <= u64_bits - 1
{
q.low = n.low() << (u64_bits - sr);
q.high = (n.high() << (u64_bits - sr)) | (n.low() >> (sr - u32_bits));
r.high = 0;
r.low = n.high() >> (sr - u32_bits);
}
} else
// d.high() != 0
{
// K X
// ---
// K K
sr = d.high().leading_zeros().wrapping_sub(n.high().leading_zeros());
// D > N
if sr > u32_bits - 1 {
if let Some(rem) = rem {
*rem = n;
return 0;
}
}
sr += 1;
// 1 <= sr <= u32_bits
// q = n << (u64_bits - sr)
q.low = 0;
if sr == u32_bits {
q.high = n.low();
r.high = 0;
r.low = n.high();
} else {
q.high = n.low() << (u32_bits - sr);
r.high = n.high() >> sr;
r.low = (n.high() << (u32_bits - sr)) | (n.low() >> sr);
}
}
}
// Not a special case
// q and r are initialized with
// q = n << (u64_bits - sr)
// r = n >> sr
// 1 <= sr <= u64_bits - 1
let mut carry = 0;
for _ in 0..sr {
// r:q = ((r:q) << 1) | carry
r[..] = (r[..] << 1) | (q[..] >> 63);
q[..] = (q[..] << 1) | carry as u64;
// carry = 0
// if r >= d {
// r -= d;
// carry = 1;
// }
let s = (d.wrapping_sub(r[..]).wrapping_sub(1)) as i64 >> (u64_bits - 1);
carry = (s & 1) as u32;
r[..] -= d & s as u64;
}
q[..] = (q[..] << 1) | carry as u64;
if let Some(rem) = rem {
*rem = r[..];
}
q[..]
}

View File

@ -1,13 +1,14 @@
#![allow(unused_features)] #![allow(unused_features)]
#![cfg_attr(not(test), no_std)] #![no_std]
#![feature(asm)] #![feature(asm)]
#![feature(core_intrinsics)] #![feature(core_intrinsics)]
#![feature(naked_functions)] #![feature(naked_functions)]
// TODO(rust-lang/rust#35021) uncomment when that PR lands // TODO(rust-lang/rust#35021) uncomment when that PR lands
// #![feature(rustc_builtins)] // #![feature(rustc_builtins)]
#[cfg(test)] // We disable #[no_mangle] for tests so that we can verify the test results
extern crate core; // against the native compiler-rt implementations of the builtins.
#[cfg(test)] #[cfg(test)]
#[macro_use] #[macro_use]
extern crate quickcheck; extern crate quickcheck;
@ -15,36 +16,33 @@ extern crate quickcheck;
#[cfg(target_arch = "arm")] #[cfg(target_arch = "arm")]
pub mod arm; pub mod arm;
pub mod div; pub mod udiv;
pub mod mul;
#[cfg(test)] pub mod shift;
mod test;
use core::ops::{Index, IndexMut, RangeFull};
/// Trait for some basic operations on integers /// Trait for some basic operations on integers
trait Int { trait Int {
fn bits() -> usize; fn bits() -> u32;
} }
// TODO: Once i128/u128 support lands, we'll want to add impls for those as well // TODO: Once i128/u128 support lands, we'll want to add impls for those as well
impl Int for u32 { impl Int for u32 {
fn bits() -> usize { fn bits() -> u32 {
32 32
} }
} }
impl Int for i32 { impl Int for i32 {
fn bits() -> usize { fn bits() -> u32 {
32 32
} }
} }
impl Int for u64 { impl Int for u64 {
fn bits() -> usize { fn bits() -> u32 {
64 64
} }
} }
impl Int for i64 { impl Int for i64 {
fn bits() -> usize { fn bits() -> u32 {
64 64
} }
} }
@ -88,33 +86,3 @@ impl LargeInt for i64 {
low as i64 | ((high as i64) << 32) low as i64 | ((high as i64) << 32)
} }
} }
/// Union-like access to the 32-bit words that make an `u64`: `x.low` and `x.high`. The whole `u64`
/// can be accessed via the expression `x[..]`, which can be used in lvalue or rvalue position.
#[cfg(target_endian = "little")]
#[repr(C)]
struct U64 {
low: u32,
high: u32,
}
#[cfg(target_endian = "big")]
#[repr(C)]
struct U64 {
high: u32,
low: u32,
}
impl Index<RangeFull> for U64 {
type Output = u64;
fn index(&self, _: RangeFull) -> &u64 {
unsafe { &*(self as *const _ as *const u64) }
}
}
impl IndexMut<RangeFull> for U64 {
fn index_mut(&mut self, _: RangeFull) -> &mut u64 {
unsafe { &mut *(self as *const _ as *mut u64) }
}
}

99
src/mul.rs Normal file
View File

@ -0,0 +1,99 @@
use {Int, LargeInt};
macro_rules! mul {
($intrinsic:ident: $ty:ty) => {
/// Returns `a * b`
#[cfg_attr(not(test), no_mangle)]
pub extern fn $intrinsic(a: $ty, b: $ty) -> $ty {
let half_bits = <$ty>::bits() / 4;
let lower_mask = !0 >> half_bits;
let mut low = (a.low() & lower_mask) * (b.low() & lower_mask);
let mut t = low >> half_bits;
low &= lower_mask;
t += (a.low() >> half_bits) * (b.low() & lower_mask);
low += (t & lower_mask) << half_bits;
let mut high = t >> half_bits;
t = low >> half_bits;
low &= lower_mask;
t += (b.low() >> half_bits) * (a.low() & lower_mask);
low += (t & lower_mask) << half_bits;
high += t >> half_bits;
high += (a.low() >> half_bits) * (b.low() >> half_bits);
high += a.high().wrapping_mul(b.low()) + a.low().wrapping_mul(b.high());
<$ty>::from_parts(low, high)
}
}
}
macro_rules! mulo {
($intrinsic:ident: $ty:ty) => {
/// Returns `a * b` and sets `*overflow = 1` if `a * b` overflows
#[cfg_attr(not(test), no_mangle)]
pub extern fn $intrinsic(a: $ty, b: $ty, overflow: &mut i32) -> $ty {
*overflow = 0;
let result = a.wrapping_mul(b);
if a == <$ty>::min_value() {
if b != 0 && b != 1 {
*overflow = 1;
}
return result;
}
if b == <$ty>::min_value() {
if a != 0 && a != 1 {
*overflow = 1;
}
return result;
}
let sa = a >> (<$ty>::bits() - 1);
let abs_a = (a ^ sa) - sa;
let sb = b >> (<$ty>::bits() - 1);
let abs_b = (b ^ sb) - sb;
if abs_a < 2 || abs_b < 2 {
return result;
}
if sa == sb {
if abs_a > <$ty>::max_value() / abs_b {
*overflow = 1;
}
} else {
if abs_a > <$ty>::min_value() / -abs_b {
*overflow = 1;
}
}
result
}
}
}
mul!(__muldi4: u64);
mulo!(__mulosi4: i32);
mulo!(__mulodi4: i64);
#[cfg(test)]
mod tests {
quickcheck! {
fn muldi(a: u64, b: u64) -> bool {
let r = super::__muldi4(a, b);
r == a.wrapping_mul(b)
}
fn mulosi(a: i32, b: i32) -> bool {
let mut overflow = 2;
let r = super::__mulosi4(a, b, &mut overflow);
if overflow != 0 && overflow != 1 {
return false;
}
(r, overflow != 0) == a.overflowing_mul(b)
}
fn mulodi(a: i64, b: i64) -> bool {
let mut overflow = 2;
let r = super::__mulodi4(a, b, &mut overflow);
if overflow != 0 && overflow != 1 {
return false;
}
(r, overflow != 0) == a.overflowing_mul(b)
}
}
}

93
src/shift.rs Normal file
View File

@ -0,0 +1,93 @@
use {Int, LargeInt};
macro_rules! ashl {
($intrinsic:ident: $ty:ty) => {
/// Returns `a << b`, requires `b < $ty::bits()`
#[cfg_attr(not(test), no_mangle)]
pub extern fn $intrinsic(a: $ty, b: u32) -> $ty {
let half_bits = <$ty>::bits() / 2;
if b & half_bits != 0 {
<$ty>::from_parts(0, a.low() << (b - half_bits))
} else if b == 0 {
a
} else {
<$ty>::from_parts(a.low() << b, (a.high() << b) | (a.low() >> (half_bits - b)))
}
}
}
}
macro_rules! ashr {
($intrinsic:ident: $ty:ty) => {
/// Returns arithmetic `a >> b`, requires `b < $ty::bits()`
#[cfg_attr(not(test), no_mangle)]
pub extern fn $intrinsic(a: $ty, b: u32) -> $ty {
let half_bits = <$ty>::bits() / 2;
if b & half_bits != 0 {
<$ty>::from_parts((a.high() >> (b - half_bits)) as <$ty as LargeInt>::LowHalf,
a.high() >> (half_bits - 1))
} else if b == 0 {
a
} else {
let high_unsigned = a.high() as <$ty as LargeInt>::LowHalf;
<$ty>::from_parts((high_unsigned << (half_bits - b)) | (a.low() >> b),
a.high() >> b)
}
}
}
}
macro_rules! lshr {
($intrinsic:ident: $ty:ty) => {
/// Returns logical `a >> b`, requires `b < $ty::bits()`
#[cfg_attr(not(test), no_mangle)]
pub extern fn $intrinsic(a: $ty, b: u32) -> $ty {
let half_bits = <$ty>::bits() / 2;
if b & half_bits != 0 {
<$ty>::from_parts(a.high() >> (b - half_bits), 0)
} else if b == 0 {
a
} else {
<$ty>::from_parts((a.high() << (half_bits - b)) | (a.low() >> b), a.high() >> b)
}
}
}
}
ashl!(__ashldi3: u64);
ashr!(__ashrdi3: i64);
lshr!(__lshrdi3: u64);
#[cfg(test)]
mod tests {
use quickcheck::TestResult;
quickcheck! {
fn ashldi(a: u64, b: u32) -> TestResult {
if b >= 64 {
TestResult::discard()
} else {
let r = super::__ashldi3(a, b);
TestResult::from_bool(r == a << b)
}
}
fn ashrdi(a: i64, b: u32) -> TestResult {
if b >= 64 {
TestResult::discard()
} else {
let r = super::__ashrdi3(a, b);
TestResult::from_bool(r == a >> b)
}
}
fn lshrdi(a: u64, b: u32) -> TestResult {
if b >= 64 {
TestResult::discard()
} else {
let r = super::__lshrdi3(a, b);
TestResult::from_bool(r == a >> b)
}
}
}
}

View File

@ -1,32 +0,0 @@
use std::panic;
use quickcheck::TestResult;
quickcheck! {
fn udivmoddi4(n: (u32, u32), d: (u32, u32)) -> TestResult {
let n = ::U64 { low: n.0, high: n.1 }[..];
let d = ::U64 { low: d.0, high: d.1 }[..];
if d == 0 {
TestResult::discard()
} else {
let mut r = 0;
let q = ::div::__udivmoddi4(n, d, Some(&mut r));
TestResult::from_bool(q * d + r == n)
}
}
}
quickcheck! {
fn udivmodsi4(n: u32, d: u32) -> TestResult {
if d == 0 {
TestResult::discard()
} else {
let mut r = 0;
let q = ::div::__udivmodsi4(n, d, Some(&mut r));
TestResult::from_bool(q * d + r == n)
}
}
}

290
src/udiv.rs Normal file
View File

@ -0,0 +1,290 @@
use core::mem;
use {Int, LargeInt};
/// Returns `n / d`
#[cfg_attr(not(test), no_mangle)]
pub extern "C" fn __udivsi3(n: u32, d: u32) -> u32 {
// Special cases
if d == 0 {
panic!("Division by zero");
}
if n == 0 {
return 0;
}
let mut sr = d.leading_zeros().wrapping_sub(n.leading_zeros());
// d > n
if sr > u32::bits() - 1 {
return 0;
}
// d == 1
if sr == u32::bits() - 1 {
return n;
}
sr += 1;
// 1 <= sr <= u32::bits() - 1
let mut q = n << (u32::bits() - sr);
let mut r = n >> sr;
let mut carry = 0;
for _ in 0..sr {
// r:q = ((r:q) << 1) | carry
r = (r << 1) | (q >> (u32::bits() - 1));
q = (q << 1) | carry;
// carry = 0;
// if r > d {
// r -= d;
// carry = 1;
// }
let s = (d.wrapping_sub(r).wrapping_sub(1)) as i32 >> (u32::bits() - 1);
carry = (s & 1) as u32;
r -= d & s as u32;
}
(q << 1) | carry
}
/// Returns `n % d`
#[cfg_attr(not(test), no_mangle)]
pub extern "C" fn __umodsi3(n: u32, d: u32) -> u32 {
n - __udivsi3(n, d) * d
}
/// Returns `n / d` and sets `*rem = n % d`
#[cfg_attr(not(test), no_mangle)]
pub extern "C" fn __udivmodsi4(n: u32, d: u32, rem: Option<&mut u32>) -> u32 {
let q = __udivsi3(n, d);
if let Some(rem) = rem {
*rem = n - (q * d);
}
q
}
/// Returns `n / d`
#[cfg_attr(not(test), no_mangle)]
pub extern "C" fn __udivdi3(n: u64, d: u64) -> u64 {
__udivmoddi4(n, d, None)
}
/// Returns `n % d`
#[cfg_attr(not(test), no_mangle)]
pub extern "C" fn __umoddi3(a: u64, b: u64) -> u64 {
let mut rem = unsafe { mem::uninitialized() };
__udivmoddi4(a, b, Some(&mut rem));
rem
}
/// Returns `n / d` and sets `*rem = n % d`
#[cfg_attr(not(test), no_mangle)]
pub extern "C" fn __udivmoddi4(n: u64, d: u64, rem: Option<&mut u64>) -> u64 {
// NOTE X is unknown, K != 0
if n.high() == 0 {
if d.high() == 0 {
// 0 X
// ---
// 0 X
if let Some(rem) = rem {
*rem = u64::from(n.low() % d.low());
}
return u64::from(n.low() / d.low());
} else {
// 0 X
// ---
// K X
if let Some(rem) = rem {
*rem = n;
}
return 0;
};
}
let mut sr;
let mut q;
let mut r;
if d.low() == 0 {
if d.high() == 0 {
// K X
// ---
// 0 0
panic!("Division by zero");
}
if n.low() == 0 {
// K 0
// ---
// K 0
if let Some(rem) = rem {
*rem = u64::from_parts(0, n.high() % d.high());
}
return u64::from(n.high() / d.high());
}
// K K
// ---
// K 0
if d.high().is_power_of_two() {
if let Some(rem) = rem {
*rem = u64::from_parts(n.low(), n.high() & (d.high() - 1));
}
return u64::from(n.high() >> d.high().trailing_zeros());
}
sr = d.high().leading_zeros().wrapping_sub(n.high().leading_zeros());
// D > N
if sr > u32::bits() - 2 {
if let Some(rem) = rem {
*rem = n;
}
return 0;
}
sr += 1;
// 1 <= sr <= u32::bits() - 1
q = n << (u64::bits() - sr);
r = n >> sr;
} else {
if d.high() == 0 {
// K X
// ---
// 0 K
if d.low().is_power_of_two() {
if let Some(rem) = rem {
*rem = u64::from(n.low() & (d.low() - 1));
}
if d.low() == 1 {
return n;
} else {
let sr = d.low().trailing_zeros();
return n >> sr;
};
}
sr = 1 + u32::bits() + d.low().leading_zeros() - n.high().leading_zeros();
// 2 <= sr <= u64::bits() - 1
q = n << (u64::bits() - sr);
r = n >> sr;
} else {
// K X
// ---
// K K
sr = d.high().leading_zeros().wrapping_sub(n.high().leading_zeros());
// D > N
if sr > u32::bits() - 1 {
if let Some(rem) = rem {
*rem = n;
return 0;
}
}
sr += 1;
// 1 <= sr <= u32::bits()
q = n << (u64::bits() - sr);
r = n >> sr;
}
}
// Not a special case
// q and r are initialized with
// q = n << (u64::bits() - sr)
// r = n >> sr
// 1 <= sr <= u64::bits() - 1
let mut carry = 0;
for _ in 0..sr {
// r:q = ((r:q) << 1) | carry
r = (r << 1) | (q >> (u64::bits() - 1));
q = (q << 1) | carry as u64;
// carry = 0
// if r >= d {
// r -= d;
// carry = 1;
// }
let s = (d.wrapping_sub(r).wrapping_sub(1)) as i64 >> (u64::bits() - 1);
carry = (s & 1) as u32;
r -= d & s as u64;
}
if let Some(rem) = rem {
*rem = r;
}
(q << 1) | carry as u64
}
#[cfg(test)]
mod tests {
use quickcheck::TestResult;
quickcheck!{
fn udivdi3(n: u64, d: u64) -> TestResult {
if d == 0 {
TestResult::discard()
} else {
let q = super::__udivdi3(n, d);
TestResult::from_bool(q == n / d)
}
}
fn umoddi3(n: u64, d: u64) -> TestResult {
if d == 0 {
TestResult::discard()
} else {
let r = super::__umoddi3(n, d);
TestResult::from_bool(r == n % d)
}
}
fn udivmoddi4(n: u64, d: u64) -> TestResult {
if d == 0 {
TestResult::discard()
} else {
let mut r = 0;
let q = super::__udivmoddi4(n, d, Some(&mut r));
TestResult::from_bool(q == n / d && r == n % d)
}
}
fn udivsi3(n: u32, d: u32) -> TestResult {
if d == 0 {
TestResult::discard()
} else {
let q = super::__udivsi3(n, d);
TestResult::from_bool(q == n / d)
}
}
fn umodsi3(n: u32, d: u32) -> TestResult {
if d == 0 {
TestResult::discard()
} else {
let r = super::__umodsi3(n, d);
TestResult::from_bool(r == n % d)
}
}
fn udivmodsi4(n: u32, d: u32) -> TestResult {
if d == 0 {
TestResult::discard()
} else {
let mut r = 0;
let q = super::__udivmodsi4(n, d, Some(&mut r));
TestResult::from_bool(q == n / d && r == n % d)
}
}
}
}