|
| 1 | +use std::num::NonZeroU64; |
| 2 | + |
| 3 | +use crate::align::align_nonzero; |
| 4 | + |
| 5 | +use super::OutOfMemory; |
| 6 | + |
| 7 | +/// Allocation information from a `BuddyAllocator` allocation. |
| 8 | +#[derive(Debug, Clone, Copy, PartialEq, Eq, PartialOrd, Ord, Hash)] |
| 9 | +pub struct BuddyAllocation { |
| 10 | + offset: u64, |
| 11 | + size: NonZeroU64, |
| 12 | + index: usize, |
| 13 | +} |
| 14 | + |
| 15 | +impl super::Allocation for BuddyAllocation { |
| 16 | + fn offset(&self) -> u64 { |
| 17 | + self.offset |
| 18 | + } |
| 19 | + |
| 20 | + fn size(&self) -> u64 { |
| 21 | + self.size.get() |
| 22 | + } |
| 23 | +} |
| 24 | + |
| 25 | +/// Bitmap-tree-based [buddy allocator], loosely based on <https://github.com/Restioson/buddy-allocator-workshop>. |
| 26 | +/// |
| 27 | +/// [buddy allocator]: https://en.wikipedia.org/wiki/Buddy_memory_allocation |
| 28 | +#[derive(Clone)] |
| 29 | +pub struct BuddyAllocator { |
| 30 | + blocks: Vec<Block>, |
| 31 | + o0_size: u64, |
| 32 | + max_order: u8, |
| 33 | +} |
| 34 | + |
| 35 | +impl std::fmt::Debug for BuddyAllocator { |
| 36 | + fn fmt(&self, f: &mut std::fmt::Formatter<'_>) -> std::fmt::Result { |
| 37 | + let mut string = String::new(); |
| 38 | + let mut index = 0; |
| 39 | + for level in 0..=self.max_order { |
| 40 | + let order = self.max_order - level; |
| 41 | + let start_spacing = 2usize.pow(order as u32) - 1; |
| 42 | + let item_spacing = 2 * start_spacing + 1; |
| 43 | + string.extend(std::iter::repeat(' ').take(start_spacing)); |
| 44 | + for _block in 0..2usize.pow(level as u32) { |
| 45 | + string.push_str(format!("{:x}", self.read_block(index)).as_str()); |
| 46 | + string.extend(std::iter::repeat(' ').take(item_spacing)); |
| 47 | + index += 1; |
| 48 | + } |
| 49 | + string.push('\n'); |
| 50 | + } |
| 51 | + |
| 52 | + f.write_str(&string) |
| 53 | + } |
| 54 | +} |
| 55 | + |
| 56 | +impl BuddyAllocator { |
| 57 | + /// Creates a new buddy allocator. |
| 58 | + /// |
| 59 | + /// - `max_order` specifies the max allocatable order. |
| 60 | + /// - `o0_size` specifies the physical size of a block of order 0. |
| 61 | + pub fn new(max_order: u8, o0_size: u64) -> Self { |
| 62 | + let max_level = max_order + 1; |
| 63 | + let mut blocks = vec![Block::new(0); Self::blocks_for_level(max_level)]; |
| 64 | + let mut i = 0; |
| 65 | + for o in 0..max_level { |
| 66 | + let n = 1 << o; |
| 67 | + blocks[i..(i + n)].fill(Block::new(max_order - o)); |
| 68 | + i += n; |
| 69 | + } |
| 70 | + BuddyAllocator { |
| 71 | + blocks, |
| 72 | + o0_size, |
| 73 | + max_order, |
| 74 | + } |
| 75 | + } |
| 76 | + |
| 77 | + fn read_block(&self, i: usize) -> u8 { |
| 78 | + self.blocks[i].order |
| 79 | + } |
| 80 | + |
| 81 | + fn write_block(&mut self, i: usize, new_order: u8) { |
| 82 | + self.blocks[i].order = new_order; |
| 83 | + } |
| 84 | + |
| 85 | + fn update(&mut self, mut i: usize, max_level: u8) { |
| 86 | + // traverse upwards and set parent order to max of child order |
| 87 | + for _ in 0..max_level { |
| 88 | + // ensure we start from right child (we don't know if i is left or right) |
| 89 | + let i_right = (i + 1) & !1; |
| 90 | + i = Self::parent(i); |
| 91 | + let left = self.read_block(i_right - 1); |
| 92 | + let right = self.read_block(i_right); |
| 93 | + self.write_block(i, left.max(right)); // parent = max children |
| 94 | + } |
| 95 | + } |
| 96 | + |
| 97 | + const fn blocks_for_level(level: u8) -> usize { |
| 98 | + ((1 << level) - 1) as usize |
| 99 | + } |
| 100 | + |
| 101 | + const fn left_child(i: usize) -> usize { |
| 102 | + ((i + 1) << 1) - 1 |
| 103 | + } |
| 104 | + |
| 105 | + #[allow(dead_code)] |
| 106 | + const fn right_child(i: usize) -> usize { |
| 107 | + (((i + 1) << 1) + 1) - 1 |
| 108 | + } |
| 109 | + |
| 110 | + const fn parent(i: usize) -> usize { |
| 111 | + ((i + 1) >> 1) - 1 |
| 112 | + } |
| 113 | + |
| 114 | + pub fn order_of(size: NonZeroU64, o0_size: u64) -> u8 { |
| 115 | + // SAFETY: ceil div of any number that is not zero will always be bigger than 0. |
| 116 | + let o0_blocks_needed = unsafe { NonZeroU64::new_unchecked(div_ceil(size.get(), o0_size)) }; |
| 117 | + log2_ceil(o0_blocks_needed) as u8 |
| 118 | + } |
| 119 | +} |
| 120 | + |
| 121 | +fn div_ceil(a: u64, b: u64) -> u64 { |
| 122 | + (a + b - 1) / b |
| 123 | +} |
| 124 | + |
| 125 | +pub const fn log2_ceil(x: NonZeroU64) -> u32 { |
| 126 | + u64::BITS - (x.get() - 1).leading_zeros() |
| 127 | +} |
| 128 | + |
| 129 | +#[derive(Debug, Clone, Copy, PartialEq, Eq, PartialOrd, Ord, Hash)] |
| 130 | +struct Block { |
| 131 | + // >0: greatest order - 1 available to allocate from this subtree |
| 132 | + // (including from this block itself) |
| 133 | + // =0: allocated |
| 134 | + order: u8, |
| 135 | +} |
| 136 | + |
| 137 | +impl Block { |
| 138 | + pub fn new(order: u8) -> Self { |
| 139 | + Block { order: order + 1 } |
| 140 | + } |
| 141 | +} |
| 142 | + |
| 143 | +impl super::Allocator for BuddyAllocator { |
| 144 | + type Allocation = BuddyAllocation; |
| 145 | + |
| 146 | + fn allocate( |
| 147 | + &mut self, |
| 148 | + size: NonZeroU64, |
| 149 | + alignment: NonZeroU64, |
| 150 | + ) -> Result<Self::Allocation, OutOfMemory> { |
| 151 | + // If the alignment is a multiple of the minimum block size, then we're good to go since the |
| 152 | + // offset can be aligned |
| 153 | + // If the minimum block size is a multiple of the alignment, then we're also good to go and |
| 154 | + // we don't need to make any adjustments |
| 155 | + // Otherwise, we theorically *could* align the result, but we're leaving it unimplemented |
| 156 | + // for now |
| 157 | + assert!( |
| 158 | + self.o0_size % alignment.get() == 0 || alignment.get() % self.o0_size == 0, |
| 159 | + "buddy allocator cannot provide allocations when the alignment given is not a multiple of the minimum block size or viceversa" |
| 160 | + ); |
| 161 | + |
| 162 | + // Our current strategy for alignment is to allocate a block as big as a multiple of the |
| 163 | + // alignment. |
| 164 | + // This will guarantee alignment but will waste space. |
| 165 | + let aligned = align_nonzero(alignment, size); |
| 166 | + let order = Self::order_of(size, self.o0_size); |
| 167 | + |
| 168 | + let root = self.read_block(0); |
| 169 | + if root == 0 || root - 1 < order { |
| 170 | + // root == 0: root is allocated, i.e., there is 0 memory left. |
| 171 | + // root - 1 < order: greatest available order cannot satisfy req allocation. |
| 172 | + return Err(OutOfMemory); |
| 173 | + } |
| 174 | + // past this point we know that there is enough memory for req allocation. |
| 175 | + |
| 176 | + // start from the top. |
| 177 | + // keep going down until we hit a block that matches order. |
| 178 | + let max_level = self.max_order - order; |
| 179 | + let mut offset = 0; // physical offset into blocks |
| 180 | + let mut i = 0; // current index |
| 181 | + for level in 0..max_level { |
| 182 | + let i_parent = i; |
| 183 | + let i_left = Self::left_child(i_parent); |
| 184 | + let left = self.read_block(i_left); |
| 185 | + |
| 186 | + // check if left can satsify req allocation |
| 187 | + if left != 0 && left - 1 >= order { |
| 188 | + i = i_left; |
| 189 | + } else { |
| 190 | + // otherwise, we know for certain that the right must then be able to |
| 191 | + // because the parent's order said it could (which is the max of left/right) |
| 192 | + i = i_left + 1; |
| 193 | + offset += 1 << ((self.max_order - level - 1) as u64); |
| 194 | + } |
| 195 | + } |
| 196 | + |
| 197 | + self.write_block(i, 0); |
| 198 | + self.update(i, max_level); |
| 199 | + Ok(BuddyAllocation { |
| 200 | + offset: self.o0_size * offset, |
| 201 | + size: aligned, |
| 202 | + index: i, |
| 203 | + }) |
| 204 | + } |
| 205 | + |
| 206 | + fn from_properties(min_alloc: u64, capacity: NonZeroU64) -> Self { |
| 207 | + Self::new(Self::order_of(capacity, min_alloc), min_alloc) |
| 208 | + } |
| 209 | +} |
| 210 | + |
| 211 | +impl super::Deallocator for BuddyAllocator { |
| 212 | + fn deallocate(&mut self, alloc: &Self::Allocation) { |
| 213 | + // deallocation routine is very simple because we have |
| 214 | + // the luxury of storing index with the allocation |
| 215 | + let order = Self::order_of(alloc.size, self.o0_size); |
| 216 | + self.write_block(alloc.index, order + 1); |
| 217 | + self.update(alloc.index, self.max_order - order); |
| 218 | + } |
| 219 | +} |
| 220 | + |
| 221 | +#[cfg(test)] |
| 222 | +mod test { |
| 223 | + use crate::Allocator; |
| 224 | + |
| 225 | + use super::BuddyAllocator; |
| 226 | + use nonzero_ext::nonzero; |
| 227 | + |
| 228 | + #[test] |
| 229 | + fn empty() { |
| 230 | + let allocator = BuddyAllocator::new(4, 1); |
| 231 | + println!("{:?}", allocator); |
| 232 | + assert_eq!( |
| 233 | + allocator.blocks, |
| 234 | + vec![ |
| 235 | + 5, 4, 4, 3, 3, 3, 3, 2, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, |
| 236 | + 1, 1, 1 |
| 237 | + ] |
| 238 | + .into_iter() |
| 239 | + .map(|order| super::Block { order }) |
| 240 | + .collect::<Vec<_>>() |
| 241 | + ) |
| 242 | + } |
| 243 | + |
| 244 | + #[test] |
| 245 | + fn order() { |
| 246 | + assert_eq!(BuddyAllocator::order_of(nonzero!(1u64), 1), 0); |
| 247 | + assert_eq!( |
| 248 | + BuddyAllocator::order_of(nonzero!(100u64), 1), |
| 249 | + // Needs at least 100 o0 blocks -> 128 -> 2^7 |
| 250 | + 7 |
| 251 | + ); |
| 252 | + assert_eq!( |
| 253 | + BuddyAllocator::order_of(nonzero!(50u64), 10), |
| 254 | + // Needs at least 5 o0 blocks -> 8 -> 2^3 |
| 255 | + 3 |
| 256 | + ); |
| 257 | + } |
| 258 | + |
| 259 | + #[test] |
| 260 | + fn allocate_single() { |
| 261 | + // 2 |
| 262 | + // 1 2 |
| 263 | + // 0 1 1 1 |
| 264 | + let mut allocator = BuddyAllocator::new(2, 1); |
| 265 | + allocator.allocate(nonzero!(1u64), nonzero!(1u64)).unwrap(); |
| 266 | + println!("{:?}", allocator); |
| 267 | + assert_eq!( |
| 268 | + allocator.blocks, |
| 269 | + vec![2, 1, 2, 0, 1, 1, 1] |
| 270 | + .into_iter() |
| 271 | + .map(|order| super::Block { order }) |
| 272 | + .collect::<Vec<_>>() |
| 273 | + ) |
| 274 | + } |
| 275 | + |
| 276 | + #[test] |
| 277 | + fn allocate_small() { |
| 278 | + // 1 |
| 279 | + // 0 1 |
| 280 | + // 0 0 0 1 |
| 281 | + let mut allocator = BuddyAllocator::new(2, 1); |
| 282 | + allocator.allocate(nonzero!(1u64), nonzero!(1u64)).unwrap(); |
| 283 | + allocator.allocate(nonzero!(1u64), nonzero!(1u64)).unwrap(); |
| 284 | + allocator.allocate(nonzero!(1u64), nonzero!(1u64)).unwrap(); |
| 285 | + println!("{:?}", allocator); |
| 286 | + assert_eq!( |
| 287 | + allocator.blocks, |
| 288 | + vec![1, 0, 1, 0, 0, 0, 1] |
| 289 | + .into_iter() |
| 290 | + .map(|order| super::Block { order }) |
| 291 | + .collect::<Vec<_>>() |
| 292 | + ) |
| 293 | + } |
| 294 | + |
| 295 | + #[test] |
| 296 | + fn allocate_mixed() { |
| 297 | + // 1 |
| 298 | + // 1 0 |
| 299 | + // 0 1 1 1 |
| 300 | + let mut allocator = BuddyAllocator::new(2, 1); |
| 301 | + allocator.allocate(nonzero!(1u64), nonzero!(1u64)).unwrap(); |
| 302 | + allocator.allocate(nonzero!(2u64), nonzero!(1u64)).unwrap(); |
| 303 | + println!("{:?}", allocator); |
| 304 | + assert_eq!( |
| 305 | + allocator.blocks, |
| 306 | + vec![1, 1, 0, 0, 1, 1, 1] |
| 307 | + .into_iter() |
| 308 | + .map(|order| super::Block { order }) |
| 309 | + .collect::<Vec<_>>() |
| 310 | + ) |
| 311 | + } |
| 312 | + |
| 313 | + #[test] |
| 314 | + fn allocate_aligned() { |
| 315 | + let mut allocator = BuddyAllocator::new(5, 8); |
| 316 | + let a1 = allocator.allocate(nonzero!(1u64), nonzero!(16u64)).unwrap(); |
| 317 | + assert_eq!(a1.offset % 16, 0); |
| 318 | + let a2 = allocator |
| 319 | + .allocate(nonzero!(32u64), nonzero!(32u64)) |
| 320 | + .unwrap(); |
| 321 | + assert_eq!(a2.offset % 32, 0); |
| 322 | + let a3 = allocator |
| 323 | + .allocate(nonzero!(33u64), nonzero!(32u64)) |
| 324 | + .unwrap(); |
| 325 | + assert_eq!(a3.offset % 32, 0); |
| 326 | + println!("{:?}", allocator); |
| 327 | + } |
| 328 | + |
| 329 | + // TODO: Test deallocation |
| 330 | +} |
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