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| 1 | +use crate::Fragment; |
| 2 | +use std::cmp::Ordering::{self, *}; |
| 3 | + |
| 4 | +pub fn in_place_sort_by<T, F>(fragments: &mut [Fragment<T>], mut compare: F) |
| 5 | +where |
| 6 | + F: FnMut(&T, &T) -> Ordering, |
| 7 | +{ |
| 8 | + if fragments.len() == 0 { |
| 9 | + return; |
| 10 | + } |
| 11 | + |
| 12 | + for fragment in fragments.iter_mut() { |
| 13 | + fragment.sort_by(&mut compare); |
| 14 | + } |
| 15 | + |
| 16 | + let num_fragments = fragments.len(); |
| 17 | + |
| 18 | + let mut r = 0; |
| 19 | + let mut c = 0; |
| 20 | + |
| 21 | + while r < num_fragments - 1 { |
| 22 | + let row_to_swap = get_row_to_swap(fragments, &mut compare, r, c); |
| 23 | + if let Some(target_row) = row_to_swap { |
| 24 | + let pa = std::ptr::addr_of_mut!(fragments[r][c]); |
| 25 | + let pb = std::ptr::addr_of_mut!(fragments[target_row][0]); |
| 26 | + // SAFETY: `pa` and `pb` have been created from safe mutable references and refer |
| 27 | + // to elements in the slice and therefore are guaranteed to be valid and aligned. |
| 28 | + // Note that accessing the elements behind `a` and `b` is checked and will |
| 29 | + // panic when out of bounds. |
| 30 | + unsafe { std::ptr::swap(pa, pb) }; |
| 31 | + |
| 32 | + let fragment_right = &fragments[target_row][1..]; |
| 33 | + let value = &fragments[target_row][0]; |
| 34 | + let position_to_insert = find_position_to_insert(fragment_right, &mut compare, value); |
| 35 | + if let Some(p) = position_to_insert { |
| 36 | + for i in 0..p { |
| 37 | + fragments[target_row].swap(i, i + 1); |
| 38 | + } |
| 39 | + } |
| 40 | + } |
| 41 | + |
| 42 | + match c == fragments[r].len() - 1 { |
| 43 | + true => (r, c) = (r + 1, 0), |
| 44 | + false => c += 1, |
| 45 | + } |
| 46 | + } |
| 47 | +} |
| 48 | + |
| 49 | +fn get_row_to_swap<T, F>( |
| 50 | + fragments: &[Fragment<T>], |
| 51 | + compare: &mut F, |
| 52 | + r: usize, |
| 53 | + c: usize, |
| 54 | +) -> Option<usize> |
| 55 | +where |
| 56 | + F: FnMut(&T, &T) -> Ordering, |
| 57 | +{ |
| 58 | + let mut r_best = r + 1; |
| 59 | + match r_best == fragments.len() { |
| 60 | + true => None, |
| 61 | + false => { |
| 62 | + let mut best = &fragments[r_best][0]; |
| 63 | + for q in (r_best + 1)..fragments.len() { |
| 64 | + if let Less = compare(&fragments[q][0], best) { |
| 65 | + (best, r_best) = (&fragments[q][0], q); |
| 66 | + } |
| 67 | + } |
| 68 | + |
| 69 | + match compare(best, &fragments[r][c]) { |
| 70 | + Less => Some(r_best), |
| 71 | + _ => None, |
| 72 | + } |
| 73 | + } |
| 74 | + } |
| 75 | +} |
| 76 | + |
| 77 | +fn find_position_to_insert<T, F>(fragment: &[T], compare: &mut F, value: &T) -> Option<usize> |
| 78 | +where |
| 79 | + F: FnMut(&T, &T) -> Ordering, |
| 80 | +{ |
| 81 | + match fragment.len() { |
| 82 | + 0 => None, |
| 83 | + _ => match compare(unsafe { fragment.get_unchecked(0) }, value) { |
| 84 | + Equal | Greater => None, |
| 85 | + Less => { |
| 86 | + let mut target = 0; |
| 87 | + let mut size = fragment.len(); |
| 88 | + let mut left = 0; |
| 89 | + let mut right = size; |
| 90 | + while left < right { |
| 91 | + let mid = left + size / 2; |
| 92 | + |
| 93 | + match compare(unsafe { fragment.get_unchecked(mid) }, value) { |
| 94 | + // Equal => return Some(mid), |
| 95 | + Greater | Equal => right = mid, |
| 96 | + Less => { |
| 97 | + target = mid + 1; |
| 98 | + left = mid; |
| 99 | + } |
| 100 | + } |
| 101 | + if size == 1 { |
| 102 | + return Some(target); |
| 103 | + } |
| 104 | + size = right - left; |
| 105 | + } |
| 106 | + |
| 107 | + Some(target) |
| 108 | + } |
| 109 | + }, |
| 110 | + } |
| 111 | +} |
| 112 | + |
| 113 | +#[cfg(test)] |
| 114 | +mod tests { |
| 115 | + use super::*; |
| 116 | + use crate::{Doubling, Growth, Linear, Recursive}; |
| 117 | + use test_case::test_case; |
| 118 | + |
| 119 | + #[test] |
| 120 | + fn insertion_position() { |
| 121 | + let fragment: Fragment<u32> = vec![4, 7, 9, 13, 16, 17, 23].into(); |
| 122 | + |
| 123 | + let mut c = |a: &u32, b: &u32| a.cmp(b); |
| 124 | + let mut pos = |val: &u32| find_position_to_insert(&fragment, &mut c, val); |
| 125 | + |
| 126 | + assert_eq!(pos(&0), None); |
| 127 | + assert_eq!(pos(&3), None); |
| 128 | + assert_eq!(pos(&4), None); |
| 129 | + |
| 130 | + assert_eq!(pos(&5), Some(1)); |
| 131 | + assert_eq!(pos(&6), Some(1)); |
| 132 | + assert_eq!(pos(&7), Some(1)); |
| 133 | + |
| 134 | + assert_eq!(pos(&8), Some(2)); |
| 135 | + assert_eq!(pos(&9), Some(2)); |
| 136 | + |
| 137 | + assert_eq!(pos(&10), Some(3)); |
| 138 | + assert_eq!(pos(&11), Some(3)); |
| 139 | + assert_eq!(pos(&12), Some(3)); |
| 140 | + assert_eq!(pos(&13), Some(3)); |
| 141 | + |
| 142 | + assert_eq!(pos(&14), Some(4)); |
| 143 | + assert_eq!(pos(&15), Some(4)); |
| 144 | + assert_eq!(pos(&16), Some(4)); |
| 145 | + |
| 146 | + assert_eq!(pos(&17), Some(5)); |
| 147 | + |
| 148 | + assert_eq!(pos(&18), Some(6)); |
| 149 | + assert_eq!(pos(&19), Some(6)); |
| 150 | + assert_eq!(pos(&20), Some(6)); |
| 151 | + assert_eq!(pos(&21), Some(6)); |
| 152 | + assert_eq!(pos(&22), Some(6)); |
| 153 | + assert_eq!(pos(&23), Some(6)); |
| 154 | + |
| 155 | + assert_eq!(pos(&24), Some(7)); |
| 156 | + assert_eq!(pos(&25), Some(7)); |
| 157 | + assert_eq!(pos(&26), Some(7)); |
| 158 | + assert_eq!(pos(&100), Some(7)); |
| 159 | + } |
| 160 | + |
| 161 | + #[test] |
| 162 | + fn insertion_position_with_ties() { |
| 163 | + let mut c = |a: &u32, b: &u32| a.cmp(b); |
| 164 | + |
| 165 | + let fragment: Fragment<u32> = vec![4, 7, 13, 13, 13, 17, 23].into(); |
| 166 | + let mut pos = |val: &u32| find_position_to_insert(&fragment, &mut c, val); |
| 167 | + assert_eq!(pos(&13), Some(2)); |
| 168 | + |
| 169 | + let fragment: Fragment<u32> = vec![4, 7, 13, 13, 23, 23, 23].into(); |
| 170 | + let mut pos = |val: &u32| find_position_to_insert(&fragment, &mut c, val); |
| 171 | + assert_eq!(pos(&23), Some(4)); |
| 172 | + |
| 173 | + let fragment: Fragment<u32> = vec![4, 4, 13, 13, 23, 23, 23].into(); |
| 174 | + let mut pos = |val: &u32| find_position_to_insert(&fragment, &mut c, val); |
| 175 | + assert_eq!(pos(&4), None); |
| 176 | + } |
| 177 | + |
| 178 | + #[test] |
| 179 | + fn sort_simple() { |
| 180 | + let mut c = |a: &u32, b: &u32| a.cmp(b); |
| 181 | + |
| 182 | + let mut fragments: Vec<Fragment<u32>> = |
| 183 | + vec![vec![2, 4].into(), vec![0, 5, 6].into(), vec![1, 3].into()]; |
| 184 | + |
| 185 | + in_place_sort_by(&mut fragments, &mut c); |
| 186 | + |
| 187 | + assert_is_sorted(fragments); |
| 188 | + } |
| 189 | + |
| 190 | + #[test_case(Doubling)] |
| 191 | + #[test_case(Recursive)] |
| 192 | + #[test_case(Linear::new(10))] |
| 193 | + fn sort_growth(growth: impl Growth) { |
| 194 | + let mut c = |a: &i32, b: &i32| a.cmp(b); |
| 195 | + |
| 196 | + let num_fragments = 10; |
| 197 | + let mut fragments: Vec<Fragment<_>> = vec![]; |
| 198 | + |
| 199 | + let mut len = 0; |
| 200 | + for _ in 0..num_fragments { |
| 201 | + let fragment_capacities: Vec<_> = fragments.iter().map(|x| x.capacity()).collect(); |
| 202 | + let mut fragment = |
| 203 | + Fragment::new(growth.new_fragment_capacity_from(fragment_capacities.into_iter())); |
| 204 | + for i in 0..fragment.capacity() { |
| 205 | + let i = len + i; |
| 206 | + let value = match i % 3 { |
| 207 | + 0 => i as i32, |
| 208 | + 1 => 42, |
| 209 | + _ => -(i as i32), |
| 210 | + }; |
| 211 | + fragment.push(value); |
| 212 | + } |
| 213 | + |
| 214 | + assert_eq!(fragment.len(), fragment.capacity()); |
| 215 | + len += fragment.len(); |
| 216 | + fragments.push(fragment); |
| 217 | + } |
| 218 | + |
| 219 | + assert_eq!(fragments.len(), num_fragments); |
| 220 | + |
| 221 | + in_place_sort_by(&mut fragments, &mut c); |
| 222 | + |
| 223 | + assert_is_sorted(fragments); |
| 224 | + } |
| 225 | + |
| 226 | + fn assert_is_sorted<T: Ord>(fragments: Vec<Fragment<T>>) { |
| 227 | + let flattened: Vec<T> = fragments.into_iter().flat_map(|x| Vec::from(x)).collect(); |
| 228 | + |
| 229 | + if flattened.is_empty() { |
| 230 | + return; |
| 231 | + } |
| 232 | + |
| 233 | + let mut curr = &flattened[0]; |
| 234 | + for i in 1..flattened.len() { |
| 235 | + let cmp = curr.cmp(&flattened[i]); |
| 236 | + assert!(cmp != Greater); |
| 237 | + curr = &flattened[i]; |
| 238 | + } |
| 239 | + } |
| 240 | +} |
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