Created
June 2, 2019 09:10
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Simple, but surprisingly fast heapsort implementation
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#[macro_use] | |
extern crate time_test; | |
use std::cmp::PartialOrd; | |
fn left(i: usize) -> usize { | |
2 * i + 1 | |
} | |
fn right(i: usize) -> usize { | |
2 * i + 2 | |
} | |
fn is_heap<T: PartialOrd>(v: &[T], ix: usize) -> bool { | |
let subs = (left(ix) >= v.len() || is_heap(v, left(ix))) | |
&& (right(ix) >= v.len() || is_heap(v, right(ix))); | |
let order = (left(ix) >= v.len() || v[left(ix)] < v[ix]) | |
&& (right(ix) >= v.len() || v[right(ix)] < v[ix]); | |
subs && order | |
} | |
fn heapify<T: PartialOrd + Copy + std::fmt::Debug>(v: &mut [T], mut ix: usize) { | |
loop { | |
//assert!(is_heap(v, left(ix)) && is_heap(v, right(ix))); | |
let mut max = ix; | |
if left(ix) < v.len() && v[left(ix)] >= v[max] { | |
max = left(ix); | |
} | |
if right(ix) < v.len() && v[right(ix)] >= v[max] { | |
max = right(ix); | |
} | |
if max == ix { | |
break; | |
} | |
let tmp = v[ix]; | |
v[ix] = v[max]; | |
v[max] = tmp; | |
ix = max; | |
} | |
} | |
fn build<T: PartialOrd + Copy + std::fmt::Debug>(v: &mut [T]) { | |
for i in (0..(v.len() / 2)).rev() { | |
heapify(v, i); | |
} | |
} | |
fn sort<T: PartialOrd + Copy + std::fmt::Debug>(v: &mut [T]) { | |
for i in (1..(v.len())).rev() { | |
let tmp = v[i]; | |
v[i] = v[0]; | |
v[0] = tmp; | |
heapify(&mut v[0..i], 0); | |
//assert!(is_heap(&mut v[0..i], 0)); | |
} | |
} | |
fn main() { | |
let mut v: Vec<i32> = (0..1000).rev().collect(); | |
{ | |
// 70 ns per element in release mode on "Intel(R) Core(TM) i5 CPU M 460 @ 2.53GHz" | |
time_test!("sort"); | |
{ | |
build(&mut v); | |
sort(&mut v); | |
} | |
} | |
println!("built {:?}", v); | |
println!("sorted {:?}", v); | |
} |
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