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Rollup merge of #115913 - FedericoStra:checked_ilog, r=the8472
checked_ilog: improve performance Addresses #115874. (This PR replicates the original #115875, which I accidentally closed by deleting my forked repository...)
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commit
206e0df78d
@ -1,7 +1,7 @@
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use rand::Rng;
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use test::{black_box, Bencher};
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macro_rules! int_log_bench {
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macro_rules! int_log10_bench {
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($t:ty, $predictable:ident, $random:ident, $random_small:ident) => {
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#[bench]
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fn $predictable(bench: &mut Bencher) {
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@ -51,8 +51,75 @@ macro_rules! int_log_bench {
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};
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}
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int_log_bench! {u8, u8_log10_predictable, u8_log10_random, u8_log10_random_small}
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int_log_bench! {u16, u16_log10_predictable, u16_log10_random, u16_log10_random_small}
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int_log_bench! {u32, u32_log10_predictable, u32_log10_random, u32_log10_random_small}
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int_log_bench! {u64, u64_log10_predictable, u64_log10_random, u64_log10_random_small}
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int_log_bench! {u128, u128_log10_predictable, u128_log10_random, u128_log10_random_small}
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int_log10_bench! {u8, u8_log10_predictable, u8_log10_random, u8_log10_random_small}
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int_log10_bench! {u16, u16_log10_predictable, u16_log10_random, u16_log10_random_small}
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int_log10_bench! {u32, u32_log10_predictable, u32_log10_random, u32_log10_random_small}
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int_log10_bench! {u64, u64_log10_predictable, u64_log10_random, u64_log10_random_small}
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int_log10_bench! {u128, u128_log10_predictable, u128_log10_random, u128_log10_random_small}
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macro_rules! int_log_bench {
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($t:ty, $random:ident, $random_small:ident, $geometric:ident) => {
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#[bench]
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fn $random(bench: &mut Bencher) {
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let mut rng = crate::bench_rng();
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/* Exponentially distributed random numbers from the whole range of the type. */
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let numbers: Vec<$t> = (0..256)
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.map(|_| {
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let x = rng.gen::<$t>() >> rng.gen_range(0..<$t>::BITS);
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if x >= 2 { x } else { 2 }
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})
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.collect();
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bench.iter(|| {
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for &b in &numbers {
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for &x in &numbers {
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black_box(black_box(x).ilog(b));
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}
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}
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});
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}
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#[bench]
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fn $random_small(bench: &mut Bencher) {
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let mut rng = crate::bench_rng();
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/* Exponentially distributed random numbers from the range 0..256. */
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let numbers: Vec<$t> = (0..256)
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.map(|_| {
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let x = (rng.gen::<u8>() >> rng.gen_range(0..u8::BITS)) as $t;
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if x >= 2 { x } else { 2 }
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})
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.collect();
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bench.iter(|| {
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for &b in &numbers {
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for &x in &numbers {
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black_box(black_box(x).ilog(b));
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}
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}
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});
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}
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#[bench]
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fn $geometric(bench: &mut Bencher) {
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let bases: [$t; 16] = [2, 3, 4, 5, 7, 8, 9, 15, 16, 17, 31, 32, 33, 63, 64, 65];
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let base_and_numbers: Vec<($t, Vec<$t>)> = bases
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.iter()
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.map(|&b| {
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let numbers = (0..=<$t>::MAX.ilog(b)).map(|exp| b.pow(exp)).collect();
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(b, numbers)
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})
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.collect();
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bench.iter(|| {
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for (b, numbers) in &base_and_numbers {
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for &x in numbers {
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black_box(black_box(x).ilog(black_box(*b)));
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}
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}
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});
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}
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};
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}
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int_log_bench! {u8, u8_log_random, u8_log_random_small, u8_log_geometric}
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int_log_bench! {u16, u16_log_random, u16_log_random_small, u16_log_geometric}
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int_log_bench! {u32, u32_log_random, u32_log_random_small, u32_log_geometric}
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int_log_bench! {u64, u64_log_random, u64_log_random_small, u64_log_geometric}
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int_log_bench! {u128, u128_log_random, u128_log_random_small, u128_log_geometric}
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@ -3123,21 +3123,9 @@ macro_rules! int_impl {
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if self <= 0 || base <= 1 {
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None
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} else {
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let mut n = 0;
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let mut r = self;
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// Optimization for 128 bit wide integers.
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if Self::BITS == 128 {
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let b = Self::ilog2(self) / (Self::ilog2(base) + 1);
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n += b;
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r /= base.pow(b as u32);
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}
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while r >= base {
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r /= base;
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n += 1;
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}
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Some(n)
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// Delegate to the unsigned implementation.
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// The condition makes sure that both casts are exact.
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(self as $UnsignedT).checked_ilog(base as $UnsignedT)
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}
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}
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@ -1095,18 +1095,25 @@ macro_rules! uint_impl {
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None
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} else {
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let mut n = 0;
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let mut r = self;
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let mut r = 1;
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// Optimization for 128 bit wide integers.
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if Self::BITS == 128 {
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let b = Self::ilog2(self) / (Self::ilog2(base) + 1);
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n += b;
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r /= base.pow(b as u32);
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// The following is a correct lower bound for ⌊log(base,self)⌋ because
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//
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// log(base,self) = log(2,self) / log(2,base)
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// ≥ ⌊log(2,self)⌋ / (⌊log(2,base)⌋ + 1)
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//
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// hence
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//
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// ⌊log(base,self)⌋ ≥ ⌊ ⌊log(2,self)⌋ / (⌊log(2,base)⌋ + 1) ⌋ .
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n = self.ilog2() / (base.ilog2() + 1);
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r = base.pow(n);
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}
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while r >= base {
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r /= base;
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while r <= self / base {
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n += 1;
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r *= base;
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}
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Some(n)
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}
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