Remove unneeded code from asymmetric.rs

Rebenchmarking this showed that perf changed for the worse only on really low end CPUs
This commit is contained in:
Aaron Kutch 2020-10-02 16:35:55 -05:00
parent 53b15eaba2
commit 1dfa14595e

View file

@ -25,20 +25,8 @@ macro_rules! impl_asymmetric {
#[$unsigned_attr]
)*
pub fn $unsigned_name(duo: $uD, div: $uD) -> ($uD,$uD) {
fn carrying_mul(lhs: $uX, rhs: $uX) -> ($uX, $uX) {
let tmp = (lhs as $uD).wrapping_mul(rhs as $uD);
(tmp as $uX, (tmp >> ($n_h * 2)) as $uX)
}
fn carrying_mul_add(lhs: $uX, mul: $uX, add: $uX) -> ($uX, $uX) {
let tmp = (lhs as $uD).wrapping_mul(mul as $uD).wrapping_add(add as $uD);
(tmp as $uX, (tmp >> ($n_h * 2)) as $uX)
}
let n: u32 = $n_h * 2;
// Many of these subalgorithms are taken from trifecta.rs, see that for better
// documentation.
let duo_lo = duo as $uX;
let duo_hi = (duo >> n) as $uX;
let div_lo = div as $uX;
@ -51,30 +39,6 @@ macro_rules! impl_asymmetric {
// `$uD` by `$uX` division with a quotient that will fit into a `$uX`
let (quo, rem) = unsafe { $asymmetric_division(duo, div_lo) };
return (quo as $uD, rem as $uD)
} else if (div_lo >> $n_h) == 0 {
// Short division of $uD by a $uH.
// Some x86_64 CPUs have bad division implementations that make specializing
// this case faster.
let div_0 = div_lo as $uH as $uX;
let (quo_hi, rem_3) = $half_division(duo_hi, div_0);
let duo_mid =
((duo >> $n_h) as $uH as $uX)
| (rem_3 << $n_h);
let (quo_1, rem_2) = $half_division(duo_mid, div_0);
let duo_lo =
(duo as $uH as $uX)
| (rem_2 << $n_h);
let (quo_0, rem_1) = $half_division(duo_lo, div_0);
return (
(quo_0 as $uD)
| ((quo_1 as $uD) << $n_h)
| ((quo_hi as $uD) << n),
rem_1 as $uD
)
} else {
// Short division using the $uD by $uX division
let (quo_hi, rem_hi) = $half_division(duo_hi, div_lo);
@ -85,59 +49,30 @@ macro_rules! impl_asymmetric {
}
}
let duo_lz = duo_hi.leading_zeros();
// This has been adapted from
// https://www.codeproject.com/tips/785014/uint-division-modulus which was in turn
// adapted from Hacker's Delight. This is similar to the two possibility algorithm
// in that it uses only more significant parts of `duo` and `div` to divide a large
// integer with a smaller division instruction.
let div_lz = div_hi.leading_zeros();
let rel_leading_sb = div_lz.wrapping_sub(duo_lz);
if rel_leading_sb < $n_h {
// Some x86_64 CPUs have bad hardware division implementations that make putting
// a two possibility algorithm here beneficial. We also avoid a full `$uD`
// multiplication.
let shift = n - duo_lz;
let duo_sig_n = (duo >> shift) as $uX;
let div_sig_n = (div >> shift) as $uX;
let quo = $half_division(duo_sig_n, div_sig_n).0;
let div_lo = div as $uX;
let div_hi = (div >> n) as $uX;
let (tmp_lo, carry) = carrying_mul(quo, div_lo);
let (tmp_hi, overflow) = carrying_mul_add(quo, div_hi, carry);
let tmp = (tmp_lo as $uD) | ((tmp_hi as $uD) << n);
if (overflow != 0) || (duo < tmp) {
return (
(quo - 1) as $uD,
duo.wrapping_add(div).wrapping_sub(tmp)
)
} else {
return (
quo as $uD,
duo - tmp
)
}
} else {
// This has been adapted from
// https://www.codeproject.com/tips/785014/uint-division-modulus which was in turn
// adapted from Hacker's Delight. This is similar to the two possibility algorithm
// in that it uses only more significant parts of `duo` and `div` to divide a large
// integer with a smaller division instruction.
let div_extra = n - div_lz;
let div_sig_n = (div >> div_extra) as $uX;
let tmp = unsafe {
$asymmetric_division(duo >> 1, div_sig_n)
};
let div_extra = n - div_lz;
let div_sig_n = (div >> div_extra) as $uX;
let tmp = unsafe {
$asymmetric_division(duo >> 1, div_sig_n)
};
let mut quo = tmp.0 >> ((n - 1) - div_lz);
if quo != 0 {
quo -= 1;
}
// Note that this is a full `$uD` multiplication being used here
let mut rem = duo - (quo as $uD).wrapping_mul(div);
if div <= rem {
quo += 1;
rem -= div;
}
return (quo as $uD, rem)
let mut quo = tmp.0 >> ((n - 1) - div_lz);
if quo != 0 {
quo -= 1;
}
// Note that this is a full `$uD` multiplication being used here
let mut rem = duo - (quo as $uD).wrapping_mul(div);
if div <= rem {
quo += 1;
rem -= div;
}
return (quo as $uD, rem)
}
/// Computes the quotient and remainder of `duo` divided by `div` and returns them as a