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| 1 | const std = @import("std"); |
| 2 | const assert = std.debug.assert; |
| 3 | const Allocator = std.mem.Allocator; |
| 4 | |
| 5 | /// A contiguous, growable, double-ended queue. |
| 6 | /// |
| 7 | /// Pushing/popping items from either end of the queue is O(1). |
| 8 | pub fn Deque(comptime T: type) type { |
| 9 | return struct { |
| 10 | const Self = @This(); |
| 11 | |
| 12 | /// A ring buffer. |
| 13 | buffer: []T, |
| 14 | /// The index in buffer where the first item in the logical deque is stored. |
| 15 | head: usize, |
| 16 | /// The number of items stored in the logical deque. |
| 17 | len: usize, |
| 18 | |
| 19 | /// A Deque containing no elements. |
| 20 | pub const empty: Self = .{ |
| 21 | .buffer = &.{}, |
| 22 | .head = 0, |
| 23 | .len = 0, |
| 24 | }; |
| 25 | |
| 26 | /// Initialize with capacity to hold `capacity` elements. |
| 27 | /// The resulting capacity will equal `capacity` exactly. |
| 28 | /// Deinitialize with `deinit`. |
| 29 | pub fn initCapacity(gpa: Allocator, capacity: usize) Allocator.Error!Self { |
| 30 | var deque: Self = .empty; |
| 31 | try deque.ensureTotalCapacityPrecise(gpa, capacity); |
| 32 | return deque; |
| 33 | } |
| 34 | |
| 35 | /// Initialize with externally-managed memory. The buffer determines the |
| 36 | /// capacity and the deque is initially empty. |
| 37 | /// |
| 38 | /// When initialized this way, all functions that accept an Allocator |
| 39 | /// argument cause illegal behavior. |
| 40 | pub fn initBuffer(buffer: []T) Self { |
| 41 | return .{ |
| 42 | .buffer = buffer, |
| 43 | .head = 0, |
| 44 | .len = 0, |
| 45 | }; |
| 46 | } |
| 47 | |
| 48 | /// Release all allocated memory. |
| 49 | pub fn deinit(deque: *Self, gpa: Allocator) void { |
| 50 | gpa.free(deque.buffer); |
| 51 | deque.* = undefined; |
| 52 | } |
| 53 | |
| 54 | /// Modify the deque so that it can hold at least `new_capacity` items. |
| 55 | /// Implements super-linear growth to achieve amortized O(1) push/pop operations. |
| 56 | /// Invalidates element pointers if additional memory is needed. |
| 57 | pub fn ensureTotalCapacity(deque: *Self, gpa: Allocator, new_capacity: usize) Allocator.Error!void { |
| 58 | if (deque.buffer.len >= new_capacity) return; |
| 59 | return deque.ensureTotalCapacityPrecise(gpa, growCapacity(deque.buffer.len, new_capacity)); |
| 60 | } |
| 61 | |
| 62 | /// If the current capacity is less than `new_capacity`, this function will |
| 63 | /// modify the deque so that it can hold exactly `new_capacity` items. |
| 64 | /// Invalidates element pointers if additional memory is needed. |
| 65 | pub fn ensureTotalCapacityPrecise(deque: *Self, gpa: Allocator, new_capacity: usize) Allocator.Error!void { |
| 66 | if (deque.buffer.len >= new_capacity) return; |
| 67 | const old_buffer = deque.buffer; |
| 68 | if (gpa.remap(old_buffer, new_capacity)) |new_buffer| { |
| 69 | // If the items wrap around the end of the buffer we need to do |
| 70 | // a memcpy to prevent a gap after resizing the buffer. |
| 71 | if (deque.head > old_buffer.len - deque.len) { |
| 72 | // The gap splits the items in the deque into head and tail parts. |
| 73 | // Choose the shorter part to copy. |
| 74 | const head = new_buffer[deque.head..old_buffer.len]; |
| 75 | const tail = new_buffer[0 .. deque.len - head.len]; |
| 76 | if (head.len > tail.len and new_buffer.len - old_buffer.len > tail.len) { |
| 77 | @memcpy(new_buffer[old_buffer.len..][0..tail.len], tail); |
| 78 | } else { |
| 79 | // In this case overlap is possible if e.g. the capacity increase is 1 |
| 80 | // and head.len is greater than 1. |
| 81 | deque.head = new_buffer.len - head.len; |
| 82 | @memmove(new_buffer[deque.head..][0..head.len], head); |
| 83 | } |
| 84 | } |
| 85 | deque.buffer = new_buffer; |
| 86 | } else { |
| 87 | const new_buffer = try gpa.alloc(T, new_capacity); |
| 88 | if (deque.head < old_buffer.len - deque.len) { |
| 89 | @memcpy(new_buffer[0..deque.len], old_buffer[deque.head..][0..deque.len]); |
| 90 | } else { |
| 91 | const head = old_buffer[deque.head..]; |
| 92 | const tail = old_buffer[0 .. deque.len - head.len]; |
| 93 | @memcpy(new_buffer[0..head.len], head); |
| 94 | @memcpy(new_buffer[head.len..][0..tail.len], tail); |
| 95 | } |
| 96 | deque.head = 0; |
| 97 | deque.buffer = new_buffer; |
| 98 | gpa.free(old_buffer); |
| 99 | } |
| 100 | } |
| 101 | |
| 102 | /// Modify the deque so that it can hold at least `additional_count` **more** items. |
| 103 | /// Invalidates element pointers if additional memory is needed. |
| 104 | pub fn ensureUnusedCapacity( |
| 105 | deque: *Self, |
| 106 | gpa: Allocator, |
| 107 | additional_count: usize, |
| 108 | ) Allocator.Error!void { |
| 109 | return deque.ensureTotalCapacity(gpa, try addOrOom(deque.len, additional_count)); |
| 110 | } |
| 111 | |
| 112 | /// Add one item to the front of the deque. |
| 113 | /// |
| 114 | /// Invalidates element pointers if additional memory is needed. |
| 115 | pub fn pushFront(deque: *Self, gpa: Allocator, item: T) error{OutOfMemory}!void { |
| 116 | try deque.ensureUnusedCapacity(gpa, 1); |
| 117 | deque.pushFrontAssumeCapacity(item); |
| 118 | } |
| 119 | |
| 120 | /// Add one item to the front of the deque. |
| 121 | /// |
| 122 | /// Never invalidates element pointers. |
| 123 | /// |
| 124 | /// If the deque lacks unused capacity for the additional item, returns |
| 125 | /// `error.OutOfMemory`. |
| 126 | pub fn pushFrontBounded(deque: *Self, item: T) error{OutOfMemory}!void { |
| 127 | if (deque.buffer.len - deque.len == 0) return error.OutOfMemory; |
| 128 | return deque.pushFrontAssumeCapacity(item); |
| 129 | } |
| 130 | |
| 131 | /// Add one item to the front of the deque. |
| 132 | /// |
| 133 | /// Never invalidates element pointers. |
| 134 | /// |
| 135 | /// Asserts that the deque can hold one additional item. |
| 136 | pub fn pushFrontAssumeCapacity(deque: *Self, item: T) void { |
| 137 | assert(deque.len < deque.buffer.len); |
| 138 | if (deque.head == 0) { |
| 139 | deque.head = deque.buffer.len; |
| 140 | } |
| 141 | deque.head -= 1; |
| 142 | deque.buffer[deque.head] = item; |
| 143 | deque.len += 1; |
| 144 | } |
| 145 | |
| 146 | /// Add one item to the back of the deque. |
| 147 | /// |
| 148 | /// Invalidates element pointers if additional memory is needed. |
| 149 | pub fn pushBack(deque: *Self, gpa: Allocator, item: T) error{OutOfMemory}!void { |
| 150 | try deque.ensureUnusedCapacity(gpa, 1); |
| 151 | deque.pushBackAssumeCapacity(item); |
| 152 | } |
| 153 | |
| 154 | /// Add one item to the back of the deque. |
| 155 | /// |
| 156 | /// Never invalidates element pointers. |
| 157 | /// |
| 158 | /// If the deque lacks unused capacity for the additional item, returns |
| 159 | /// `error.OutOfMemory`. |
| 160 | pub fn pushBackBounded(deque: *Self, item: T) error{OutOfMemory}!void { |
| 161 | if (deque.buffer.len - deque.len == 0) return error.OutOfMemory; |
| 162 | deque.pushBackAssumeCapacity(item); |
| 163 | } |
| 164 | |
| 165 | /// Add one item to the back of the deque. |
| 166 | /// |
| 167 | /// Never invalidates element pointers. |
| 168 | /// |
| 169 | /// Asserts that the deque can hold one additional item. |
| 170 | pub fn pushBackAssumeCapacity(deque: *Self, item: T) void { |
| 171 | assert(deque.len < deque.buffer.len); |
| 172 | const buffer_index = deque.bufferIndex(deque.len); |
| 173 | deque.buffer[buffer_index] = item; |
| 174 | deque.len += 1; |
| 175 | } |
| 176 | |
| 177 | /// Return the first item in the deque or null if empty. |
| 178 | pub fn front(deque: *const Self) ?T { |
| 179 | if (deque.len == 0) return null; |
| 180 | return deque.buffer[deque.head]; |
| 181 | } |
| 182 | |
| 183 | /// Return the last item in the deque or null if empty. |
| 184 | pub fn back(deque: *const Self) ?T { |
| 185 | if (deque.len == 0) return null; |
| 186 | return deque.buffer[deque.bufferIndex(deque.len - 1)]; |
| 187 | } |
| 188 | |
| 189 | /// Return the item at the given index in the deque. |
| 190 | /// |
| 191 | /// The first item in the queue is at index 0. |
| 192 | /// |
| 193 | /// Asserts that the index is in-bounds. |
| 194 | pub fn at(deque: *const Self, index: usize) T { |
| 195 | assert(index < deque.len); |
| 196 | return deque.buffer[deque.bufferIndex(index)]; |
| 197 | } |
| 198 | |
| 199 | /// Remove and return the first item in the deque or null if empty. |
| 200 | pub fn popFront(deque: *Self) ?T { |
| 201 | if (deque.len == 0) return null; |
| 202 | const pop_index = deque.head; |
| 203 | deque.head = deque.bufferIndex(1); |
| 204 | deque.len -= 1; |
| 205 | return deque.buffer[pop_index]; |
| 206 | } |
| 207 | |
| 208 | /// Remove and return the last item in the deque or null if empty. |
| 209 | pub fn popBack(deque: *Self) ?T { |
| 210 | if (deque.len == 0) return null; |
| 211 | deque.len -= 1; |
| 212 | return deque.buffer[deque.bufferIndex(deque.len)]; |
| 213 | } |
| 214 | |
| 215 | pub const Iterator = struct { |
| 216 | deque: *const Self, |
| 217 | index: usize, |
| 218 | |
| 219 | pub fn next(it: *Iterator) ?T { |
| 220 | if (it.index < it.deque.len) { |
| 221 | defer it.index += 1; |
| 222 | return it.deque.at(it.index); |
| 223 | } else { |
| 224 | return null; |
| 225 | } |
| 226 | } |
| 227 | }; |
| 228 | |
| 229 | /// Iterates over all items in the deque in order from front to back. |
| 230 | pub fn iterator(deque: *const Self) Iterator { |
| 231 | return .{ .deque = deque, .index = 0 }; |
| 232 | } |
| 233 | |
| 234 | /// Returns the index in `buffer` where the element at the given |
| 235 | /// index in the logical deque is stored. |
| 236 | fn bufferIndex(deque: *const Self, index: usize) usize { |
| 237 | // This function is written in this way to avoid overflow and |
| 238 | // expensive division. |
| 239 | const head_len = deque.buffer.len - deque.head; |
| 240 | if (index < head_len) { |
| 241 | return deque.head + index; |
| 242 | } else { |
| 243 | return index - head_len; |
| 244 | } |
| 245 | } |
| 246 | |
| 247 | const init_capacity: comptime_int = @max(1, std.atomic.cache_line / @sizeOf(T)); |
| 248 | |
| 249 | /// Called when memory growth is necessary. Returns a capacity larger than |
| 250 | /// minimum that grows super-linearly. |
| 251 | fn growCapacity(current: usize, minimum: usize) usize { |
| 252 | var new = current; |
| 253 | while (true) { |
| 254 | new +|= new / 2 + init_capacity; |
| 255 | if (new >= minimum) return new; |
| 256 | } |
| 257 | } |
| 258 | }; |
| 259 | } |
| 260 | |
| 261 | /// Integer addition returning `error.OutOfMemory` on overflow. |
| 262 | fn addOrOom(a: usize, b: usize) error{OutOfMemory}!usize { |
| 263 | const result, const overflow = @addWithOverflow(a, b); |
| 264 | if (overflow != 0) return error.OutOfMemory; |
| 265 | return result; |
| 266 | } |
| 267 | |
| 268 | test "basic" { |
| 269 | const testing = std.testing; |
| 270 | const gpa = testing.allocator; |
| 271 | |
| 272 | var q: Deque(u32) = .empty; |
| 273 | defer q.deinit(gpa); |
| 274 | |
| 275 | try testing.expectEqual(null, q.popFront()); |
| 276 | try testing.expectEqual(null, q.popBack()); |
| 277 | |
| 278 | try q.pushBack(gpa, 1); |
| 279 | try q.pushBack(gpa, 2); |
| 280 | try q.pushBack(gpa, 3); |
| 281 | try q.pushFront(gpa, 0); |
| 282 | |
| 283 | try testing.expectEqual(0, q.popFront()); |
| 284 | try testing.expectEqual(1, q.popFront()); |
| 285 | try testing.expectEqual(3, q.popBack()); |
| 286 | try testing.expectEqual(2, q.popFront()); |
| 287 | try testing.expectEqual(null, q.popFront()); |
| 288 | try testing.expectEqual(null, q.popBack()); |
| 289 | } |
| 290 | |
| 291 | test "buffer" { |
| 292 | const testing = std.testing; |
| 293 | |
| 294 | var buffer: [4]u32 = undefined; |
| 295 | var q: Deque(u32) = .initBuffer(&buffer); |
| 296 | |
| 297 | try testing.expectEqual(null, q.popFront()); |
| 298 | try testing.expectEqual(null, q.popBack()); |
| 299 | |
| 300 | try q.pushBackBounded(1); |
| 301 | try q.pushBackBounded(2); |
| 302 | try q.pushBackBounded(3); |
| 303 | try q.pushFrontBounded(0); |
| 304 | try testing.expectError(error.OutOfMemory, q.pushBackBounded(4)); |
| 305 | |
| 306 | try testing.expectEqual(0, q.popFront()); |
| 307 | try testing.expectEqual(1, q.popFront()); |
| 308 | try testing.expectEqual(3, q.popBack()); |
| 309 | try testing.expectEqual(2, q.popFront()); |
| 310 | try testing.expectEqual(null, q.popFront()); |
| 311 | try testing.expectEqual(null, q.popBack()); |
| 312 | } |
| 313 | |
| 314 | test "slow growth" { |
| 315 | const testing = std.testing; |
| 316 | const gpa = testing.allocator; |
| 317 | |
| 318 | var q: Deque(i32) = .empty; |
| 319 | defer q.deinit(gpa); |
| 320 | |
| 321 | try q.ensureTotalCapacityPrecise(gpa, 1); |
| 322 | q.pushBackAssumeCapacity(1); |
| 323 | try q.ensureTotalCapacityPrecise(gpa, 2); |
| 324 | q.pushFrontAssumeCapacity(0); |
| 325 | try q.ensureTotalCapacityPrecise(gpa, 3); |
| 326 | q.pushBackAssumeCapacity(2); |
| 327 | try q.ensureTotalCapacityPrecise(gpa, 5); |
| 328 | q.pushBackAssumeCapacity(3); |
| 329 | q.pushFrontAssumeCapacity(-1); |
| 330 | try q.ensureTotalCapacityPrecise(gpa, 6); |
| 331 | q.pushFrontAssumeCapacity(-2); |
| 332 | |
| 333 | try testing.expectEqual(-2, q.popFront()); |
| 334 | try testing.expectEqual(-1, q.popFront()); |
| 335 | try testing.expectEqual(3, q.popBack()); |
| 336 | try testing.expectEqual(0, q.popFront()); |
| 337 | try testing.expectEqual(2, q.popBack()); |
| 338 | try testing.expectEqual(1, q.popBack()); |
| 339 | try testing.expectEqual(null, q.popFront()); |
| 340 | try testing.expectEqual(null, q.popBack()); |
| 341 | } |
| 342 | |
| 343 | test "fuzz against ArrayList oracle" { |
| 344 | try std.testing.fuzz({}, fuzzAgainstArrayList, .{}); |
| 345 | } |
| 346 | |
| 347 | test "dumb fuzz against ArrayList oracle" { |
| 348 | const testing = std.testing; |
| 349 | const gpa = testing.allocator; |
| 350 | |
| 351 | const input = try gpa.alloc(u8, 1024); |
| 352 | defer gpa.free(input); |
| 353 | |
| 354 | var prng = std.Random.DefaultPrng.init(testing.random_seed); |
| 355 | prng.random().bytes(input); |
| 356 | |
| 357 | try fuzzAgainstArrayList({}, input); |
| 358 | } |
| 359 | |
| 360 | fn fuzzAgainstArrayList(_: void, input: []const u8) anyerror!void { |
| 361 | const testing = std.testing; |
| 362 | const gpa = testing.allocator; |
| 363 | |
| 364 | var q: Deque(u32) = .empty; |
| 365 | defer q.deinit(gpa); |
| 366 | var l: std.ArrayList(u32) = .empty; |
| 367 | defer l.deinit(gpa); |
| 368 | |
| 369 | if (input.len < 2) return; |
| 370 | |
| 371 | var prng = std.Random.DefaultPrng.init(input[0]); |
| 372 | const random = prng.random(); |
| 373 | |
| 374 | const Action = enum { |
| 375 | push_back, |
| 376 | push_front, |
| 377 | pop_back, |
| 378 | pop_front, |
| 379 | grow, |
| 380 | /// Sentinel to avoid hardcoding the cast below |
| 381 | max, |
| 382 | }; |
| 383 | for (input[1..]) |byte| { |
| 384 | switch (@as(Action, @enumFromInt(byte % (@intFromEnum(Action.max))))) { |
| 385 | .push_back => { |
| 386 | const item = random.int(u8); |
| 387 | try testing.expectEqual( |
| 388 | l.appendBounded(item), |
| 389 | q.pushBackBounded(item), |
| 390 | ); |
| 391 | }, |
| 392 | .push_front => { |
| 393 | const item = random.int(u8); |
| 394 | try testing.expectEqual( |
| 395 | l.insertBounded(0, item), |
| 396 | q.pushFrontBounded(item), |
| 397 | ); |
| 398 | }, |
| 399 | .pop_back => { |
| 400 | try testing.expectEqual(l.pop(), q.popBack()); |
| 401 | }, |
| 402 | .pop_front => { |
| 403 | try testing.expectEqual( |
| 404 | if (l.items.len > 0) l.orderedRemove(0) else null, |
| 405 | q.popFront(), |
| 406 | ); |
| 407 | }, |
| 408 | // Growing by small, random, linear amounts seems to better test |
| 409 | // ensureTotalCapacityPrecise(), which is the most complex part |
| 410 | // of the Deque implementation. |
| 411 | .grow => { |
| 412 | const growth = random.int(u3); |
| 413 | try l.ensureTotalCapacityPrecise(gpa, l.items.len + growth); |
| 414 | try q.ensureTotalCapacityPrecise(gpa, q.len + growth); |
| 415 | }, |
| 416 | .max => unreachable, |
| 417 | } |
| 418 | try testing.expectEqual(l.getLastOrNull(), q.back()); |
| 419 | try testing.expectEqual( |
| 420 | if (l.items.len > 0) l.items[0] else null, |
| 421 | q.front(), |
| 422 | ); |
| 423 | try testing.expectEqual(l.items.len, q.len); |
| 424 | try testing.expectEqual(l.capacity, q.buffer.len); |
| 425 | { |
| 426 | var it = q.iterator(); |
| 427 | for (l.items) |item| { |
| 428 | try testing.expectEqual(item, it.next()); |
| 429 | } |
| 430 | try testing.expectEqual(null, it.next()); |
| 431 | } |
| 432 | } |
| 433 | } |