177 lines
4.8 KiB
Rust
177 lines
4.8 KiB
Rust
//! Benchmark comparing the current GCD implemtation against an older one.
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#![feature(test)]
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extern crate num_integer;
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extern crate num_traits;
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extern crate test;
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use num_integer::Integer;
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use num_traits::{AsPrimitive, Bounded, Signed};
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use test::{black_box, Bencher};
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trait GcdOld: Integer {
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fn gcd_old(&self, other: &Self) -> Self;
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}
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macro_rules! impl_gcd_old_for_isize {
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($T:ty) => {
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impl GcdOld for $T {
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/// Calculates the Greatest Common Divisor (GCD) of the number and
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/// `other`. The result is always positive.
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#[inline]
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fn gcd_old(&self, other: &Self) -> Self {
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// Use Stein's algorithm
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let mut m = *self;
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let mut n = *other;
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if m == 0 || n == 0 {
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return (m | n).abs();
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}
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// find common factors of 2
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let shift = (m | n).trailing_zeros();
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// The algorithm needs positive numbers, but the minimum value
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// can't be represented as a positive one.
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// It's also a power of two, so the gcd can be
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// calculated by bitshifting in that case
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// Assuming two's complement, the number created by the shift
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// is positive for all numbers except gcd = abs(min value)
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// The call to .abs() causes a panic in debug mode
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if m == Self::min_value() || n == Self::min_value() {
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return (1 << shift).abs();
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}
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// guaranteed to be positive now, rest like unsigned algorithm
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m = m.abs();
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n = n.abs();
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// divide n and m by 2 until odd
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// m inside loop
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n >>= n.trailing_zeros();
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while m != 0 {
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m >>= m.trailing_zeros();
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if n > m {
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std::mem::swap(&mut n, &mut m)
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}
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m -= n;
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}
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n << shift
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}
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}
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};
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}
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impl_gcd_old_for_isize!(i8);
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impl_gcd_old_for_isize!(i16);
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impl_gcd_old_for_isize!(i32);
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impl_gcd_old_for_isize!(i64);
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impl_gcd_old_for_isize!(isize);
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impl_gcd_old_for_isize!(i128);
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macro_rules! impl_gcd_old_for_usize {
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($T:ty) => {
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impl GcdOld for $T {
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/// Calculates the Greatest Common Divisor (GCD) of the number and
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/// `other`. The result is always positive.
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#[inline]
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fn gcd_old(&self, other: &Self) -> Self {
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// Use Stein's algorithm
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let mut m = *self;
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let mut n = *other;
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if m == 0 || n == 0 {
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return m | n;
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}
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// find common factors of 2
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let shift = (m | n).trailing_zeros();
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// divide n and m by 2 until odd
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// m inside loop
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n >>= n.trailing_zeros();
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while m != 0 {
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m >>= m.trailing_zeros();
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if n > m {
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std::mem::swap(&mut n, &mut m)
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}
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m -= n;
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}
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n << shift
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}
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}
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};
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}
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impl_gcd_old_for_usize!(u8);
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impl_gcd_old_for_usize!(u16);
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impl_gcd_old_for_usize!(u32);
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impl_gcd_old_for_usize!(u64);
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impl_gcd_old_for_usize!(usize);
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impl_gcd_old_for_usize!(u128);
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/// Return an iterator that yields all Fibonacci numbers fitting into a u128.
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fn fibonacci() -> impl Iterator<Item = u128> {
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(0..185).scan((0, 1), |&mut (ref mut a, ref mut b), _| {
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let tmp = *a;
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*a = *b;
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*b += tmp;
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Some(*b)
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})
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}
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fn run_bench<T: Integer + Bounded + Copy + 'static>(b: &mut Bencher, gcd: fn(&T, &T) -> T)
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where
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T: AsPrimitive<u128>,
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u128: AsPrimitive<T>,
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{
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let max_value: u128 = T::max_value().as_();
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let pairs: Vec<(T, T)> = fibonacci()
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.collect::<Vec<_>>()
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.windows(2)
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.filter(|&pair| pair[0] <= max_value && pair[1] <= max_value)
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.map(|pair| (pair[0].as_(), pair[1].as_()))
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.collect();
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b.iter(|| {
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for &(ref m, ref n) in &pairs {
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black_box(gcd(m, n));
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}
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});
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}
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macro_rules! bench_gcd {
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($T:ident) => {
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mod $T {
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use crate::{run_bench, GcdOld};
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use num_integer::Integer;
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use test::Bencher;
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#[bench]
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fn bench_gcd(b: &mut Bencher) {
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run_bench(b, $T::gcd);
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}
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#[bench]
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fn bench_gcd_old(b: &mut Bencher) {
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run_bench(b, $T::gcd_old);
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}
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}
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};
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}
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bench_gcd!(u8);
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bench_gcd!(u16);
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bench_gcd!(u32);
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bench_gcd!(u64);
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bench_gcd!(u128);
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bench_gcd!(i8);
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bench_gcd!(i16);
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bench_gcd!(i32);
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bench_gcd!(i64);
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bench_gcd!(i128);
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