1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
41
42
43
44
45
46
47
48
49
50
51
52
53
54
55
56
57
58
59
60
61
62
63
64
65
66
67
68
69
70
71
72
73
74
75
76
77
78
79
80
81
82
83
84
85
86
87
88
89
90
91
92
93
94
95
96
97
98
99
100
101
102
103
104
105
106
107
108
109
110
111
112
113
114
115
116
117
118
119
120
121
122
123
124
125
126
127
128
129
130
131
132
133
134
135
136
137
138
139
140
141
142
143
144
145
146
147
148
149
150
151
152
153
154
155
156
157
158
159
160
161
162
163
164
165
166
167
168
169
170
171
172
173
174
175
176
177
178
179
180
181
182
183
184
185
186
187
188
189
190
191
192
193
194
195
196
197
198
199
200
201
202
203
204
205
206
207
208
209
210
211
212
213
214
215
216
217
218
219
220
221
222
223
224
225
226
227
228
229
230
231
232
233
234
235
236
237
238
239
240
241
242
243
244
245
246
247
248
249
250
251
252
253
254
255
256
257
258
259
260
261
262
263
264
265
266
267
268
269
270
271
272
273
274
275
276
277
278
279
280
281
282
283
284
285
286
287
288
289
290
291
292
293
294
295
296
297
298
299
300
301
302
303
304
305
306
307
308
309
310
311
312
313
314
315
316
317
318
319
320
321
322
323
324
325
326
327
328
329
330
331
332
333
334
335
336
337
338
339
340
341
342
343
344
345
346
347
348
349
350
351
352
353
354
355
356
357
358
359
360
361
362
363
364
365
366
367
368
369
370
371
372
373
374
375
376
377
378
379
380
381
382
383
384
385
386
387
388
389
390
391
392
393
394
395
396
397
398
399
400
401
402
403
404
405
406
407
408
409
410
411
412
413
414
415
416
417
418
419
420
421
422
423
424
425
426
427
428
429
430
431
432
433
434
435
436
437
438
439
440
441
442
443
444
445
446
447
448
449
450
451
452
453
454
455
456
457
458
459
460
461
462
463
464
465
466
467
468
469
470
471
472
473
474
475
476
477
478
479
480
481
482
483
484
485
486
487
488
489
490
491
492
493
494
495
496
497
498
499
500
501
502
503
504
505
506
507
508
509
510
511
512
513
514
515
516
517
518
519
520
521
522
523
524
525
526
527
528
529
530
531
532
533
534
535
536
537
538
539
540
541
542
543
544
545
546
547
548
549
550
551
552
553
554
555
556
557
558
559
560
561
562
563
564
565
566
567
568
569
570
571
572
573
574
575
576
577
578
579
580
581
582
583
584
585
586
587
588
589
590
591
592
593
594
595
596
597
598
599
600
601
602
603
604
605
606
607
608
609
610
611
612
613
614
615
616
617
618
619
620
621
622
623
624
625
626
627
628
629
630
631
632
633
|
// table.c - C Hash table implementation
// Copyright 2024 Bruce Hill
// Provided under the MIT license with the Commons Clause
// See included LICENSE for details.
// Hash table (aka Dictionary) Implementation
// Hash keys and values are stored *by value*
// The hash insertion/lookup implementation is based on Lua's tables,
// which use a chained scatter with Brent's variation.
#include <assert.h>
#include <gc.h>
#include <stdarg.h>
#include <stdio.h>
#include <stdlib.h>
#include <string.h>
#include <sys/param.h>
#include "array.h"
#include "c_string.h"
#include "datatypes.h"
#include "halfsiphash.h"
#include "memory.h"
#include "table.h"
#include "text.h"
#include "types.h"
#include "util.h"
// #define DEBUG_TABLES
#ifdef DEBUG_TABLES
#define hdebug(fmt, ...) printf("\x1b[2m" fmt "\x1b[m" __VA_OPT__(,) __VA_ARGS__)
#else
#define hdebug(...) (void)0
#endif
// Helper accessors for type functions/values:
#define HASH_KEY(t, k) (generic_hash((k), type->TableInfo.key) % ((t).bucket_info->count))
#define EQUAL_KEYS(x, y) (generic_equal((x), (y), type->TableInfo.key))
#define END_OF_CHAIN UINT32_MAX
#define GET_ENTRY(t, i) ((t).entries.data + (t).entries.stride*(i))
#define ENTRIES_TYPE(type) (&(TypeInfo){.size=sizeof(array_t), .align=__alignof__(array_t), .tag=ArrayInfo, .ArrayInfo.item=(&(TypeInfo){.size=entry_size(type), .align=entry_align(type), .tag=OpaqueInfo})})
static const TypeInfo MemoryPointer = {
.size=sizeof(void*),
.align=__alignof__(void*),
.tag=PointerInfo,
.PointerInfo={
.sigil="@",
.pointed=&$Memory,
},
};
const TypeInfo CStrToVoidStarTable = {
.size=sizeof(table_t),
.align=__alignof__(table_t),
.tag=TableInfo,
.TableInfo={.key=&$CString, .value=&MemoryPointer},
};
static inline size_t entry_size(const TypeInfo *info)
{
size_t size = info->TableInfo.key->size;
if (info->TableInfo.value->align > 1 && size % info->TableInfo.value->align)
size += info->TableInfo.value->align - (size % info->TableInfo.value->align); // padding
size += info->TableInfo.value->size;
if (info->TableInfo.key->align > 1 && size % info->TableInfo.key->align)
size += info->TableInfo.key->align - (size % info->TableInfo.key->align); // padding
return size;
}
static inline size_t entry_align(const TypeInfo *info)
{
return MAX(info->TableInfo.key->align, info->TableInfo.value->align);
}
static inline size_t value_offset(const TypeInfo *info)
{
size_t offset = info->TableInfo.key->size;
if (info->TableInfo.value->align > 1 && offset % info->TableInfo.value->align)
offset += info->TableInfo.value->align - (offset % info->TableInfo.value->align); // padding
return offset;
}
static inline void hshow(const table_t *t)
{
hdebug("{");
for (uint32_t i = 0; t->bucket_info && i < t->bucket_info->count; i++) {
if (i > 0) hdebug(" ");
if (t->bucket_info->buckets[i].occupied)
hdebug("[%d]=%d(%d)", i, t->bucket_info->buckets[i].index, t->bucket_info->buckets[i].next_bucket);
else
hdebug("[%d]=_", i);
}
hdebug("}\n");
}
static void maybe_copy_on_write(table_t *t, const TypeInfo *type)
{
if (t->entries.data_refcount != 0)
Array$compact(&t->entries, entry_size(type));
if (t->bucket_info && t->bucket_info->data_refcount != 0) {
int64_t size = sizeof(bucket_info_t) + sizeof(bucket_t[t->bucket_info->count]);
t->bucket_info = memcpy(GC_MALLOC(size), t->bucket_info, size);
t->bucket_info->data_refcount = 0;
}
}
// Return address of value or NULL
public void *Table$get_raw(table_t t, const void *key, const TypeInfo *type)
{
assert(type->tag == TableInfo);
if (!key || !t.bucket_info) return NULL;
uint32_t hash = HASH_KEY(t, key);
hshow(&t);
hdebug("Getting value with initial probe at %u\n", hash);
bucket_t *buckets = t.bucket_info->buckets;
for (uint32_t i = hash; buckets[i].occupied; i = buckets[i].next_bucket) {
hdebug("Checking against key in bucket %u\n", i);
void *entry = GET_ENTRY(t, buckets[i].index);
if (EQUAL_KEYS(entry, key)) {
hdebug("Found key!\n");
return entry + value_offset(type);
}
if (buckets[i].next_bucket == END_OF_CHAIN)
break;
}
return NULL;
}
public void *Table$get(table_t t, const void *key, const TypeInfo *type)
{
assert(type->tag == TableInfo);
for (const table_t *iter = &t; iter; iter = iter->fallback) {
void *ret = Table$get_raw(*iter, key, type);
if (ret) return ret;
}
return NULL;
}
static void Table$set_bucket(table_t *t, const void *entry, int32_t index, const TypeInfo *type)
{
assert(t->bucket_info);
hshow(t);
const void *key = entry;
bucket_t *buckets = t->bucket_info->buckets;
uint32_t hash = HASH_KEY(*t, key);
hdebug("Hash value (mod %u) = %u\n", t->bucket_info->count, hash);
bucket_t *bucket = &buckets[hash];
if (!bucket->occupied) {
hdebug("Got an empty space\n");
// Empty space:
bucket->occupied = 1;
bucket->index = index;
bucket->next_bucket = END_OF_CHAIN;
hshow(t);
return;
}
hdebug("Collision detected in bucket %u (entry %u)\n", hash, bucket->index);
while (buckets[t->bucket_info->last_free].occupied) {
assert(t->bucket_info->last_free > 0);
--t->bucket_info->last_free;
}
uint32_t collided_hash = HASH_KEY(*t, GET_ENTRY(*t, bucket->index));
if (collided_hash != hash) { // Collided with a mid-chain entry
hdebug("Hit a mid-chain entry at bucket %u (chain starting at %u)\n", hash, collided_hash);
// Find chain predecessor
uint32_t predecessor = collided_hash;
while (buckets[predecessor].next_bucket != hash)
predecessor = buckets[predecessor].next_bucket;
// Move mid-chain entry to free space and update predecessor
buckets[predecessor].next_bucket = t->bucket_info->last_free;
buckets[t->bucket_info->last_free] = *bucket;
} else { // Collided with the start of a chain
hdebug("Hit start of a chain\n");
uint32_t end_of_chain = hash;
while (buckets[end_of_chain].next_bucket != END_OF_CHAIN)
end_of_chain = buckets[end_of_chain].next_bucket;
hdebug("Appending to chain\n");
// Chain now ends on the free space:
buckets[end_of_chain].next_bucket = t->bucket_info->last_free;
bucket = &buckets[t->bucket_info->last_free];
}
bucket->occupied = 1;
bucket->index = index;
bucket->next_bucket = END_OF_CHAIN;
hshow(t);
}
static void hashmap_resize_buckets(table_t *t, uint32_t new_capacity, const TypeInfo *type)
{
if (__builtin_expect(new_capacity > TABLE_MAX_BUCKETS, 0))
fail("Table has exceeded the maximum table size (2^31) and cannot grow further!");
hdebug("About to resize from %u to %u\n", t->bucket_info ? t->bucket_info->count : 0, new_capacity);
hshow(t);
int64_t alloc_size = sizeof(bucket_info_t) + sizeof(bucket_t[new_capacity]);
t->bucket_info = GC_MALLOC_ATOMIC(alloc_size);
memset(t->bucket_info->buckets, 0, sizeof(bucket_t[new_capacity]));
t->bucket_info->count = new_capacity;
t->bucket_info->last_free = new_capacity-1;
// Rehash:
for (int64_t i = 0; i < Table$length(*t); i++) {
hdebug("Rehashing %u\n", i);
Table$set_bucket(t, GET_ENTRY(*t, i), i, type);
}
hshow(t);
hdebug("Finished resizing\n");
}
// Return address of value
public void *Table$reserve(table_t *t, const void *key, const void *value, const TypeInfo *type)
{
assert(type->tag == TableInfo);
if (!t || !key) return NULL;
hshow(t);
int64_t key_size = type->TableInfo.key->size,
value_size = type->TableInfo.value->size;
if (!t->bucket_info || t->bucket_info->count == 0) {
hashmap_resize_buckets(t, 4, type);
} else {
// Check if we are clobbering a value:
void *value_home = Table$get_raw(*t, key, type);
if (value_home) { // Update existing slot
// Ensure that `value_home` is still inside t->entries, even if COW occurs
ptrdiff_t offset = value_home - t->entries.data;
maybe_copy_on_write(t, type);
value_home = t->entries.data + offset;
if (value && value_size > 0)
memcpy(value_home, value, value_size);
return value_home;
}
}
// Otherwise add a new entry:
// Resize buckets if necessary
if (t->entries.length >= (int64_t)t->bucket_info->count) {
uint32_t newsize = t->bucket_info->count + MIN(t->bucket_info->count, 64);
if (__builtin_expect(newsize > TABLE_MAX_BUCKETS, 0))
newsize = t->entries.length + 1;
hashmap_resize_buckets(t, newsize, type);
}
if (!value && value_size > 0) {
for (table_t *iter = t->fallback; iter; iter = iter->fallback) {
value = Table$get_raw(*iter, key, type);
if (value) break;
}
}
maybe_copy_on_write(t, type);
char buf[entry_size(type)];
memset(buf, 0, sizeof(buf));
memcpy(buf, key, key_size);
if (value && value_size > 0)
memcpy(buf + value_offset(type), value, value_size);
else
memset(buf + value_offset(type), 0, value_size);
Array$insert(&t->entries, buf, I(0), entry_size(type));
int64_t entry_index = t->entries.length-1;
void *entry = GET_ENTRY(*t, entry_index);
Table$set_bucket(t, entry, entry_index, type);
return entry + value_offset(type);
}
public void Table$set(table_t *t, const void *key, const void *value, const TypeInfo *type)
{
assert(type->tag == TableInfo);
(void)Table$reserve(t, key, value, type);
}
public void Table$remove(table_t *t, const void *key, const TypeInfo *type)
{
assert(type->tag == TableInfo);
if (!t || Table$length(*t) == 0) return;
// TODO: this work doesn't need to be done if the key is already missing
maybe_copy_on_write(t, type);
// If unspecified, pop the last key:
if (!key)
key = GET_ENTRY(*t, t->entries.length-1);
// Steps: look up the bucket for the removed key
// If missing, then return immediately
// Swap last key/value into the removed bucket's index1
// Zero out the last key/value and decrement the count
// Find the last key/value's bucket and update its index1
// Look up the bucket for the removed key
// If bucket is first in chain:
// Move bucket->next to bucket's spot
// zero out bucket->next's old spot
// maybe update lastfree_index1 to second-in-chain's index
// Else:
// set prev->next = bucket->next
// zero out bucket
// maybe update lastfree_index1 to removed bucket's index
uint32_t hash = HASH_KEY(*t, key);
hdebug("Removing key with hash %u\n", hash);
bucket_t *bucket, *prev = NULL;
for (uint32_t i = hash; t->bucket_info->buckets[i].occupied; i = t->bucket_info->buckets[i].next_bucket) {
if (EQUAL_KEYS(GET_ENTRY(*t, t->bucket_info->buckets[i].index), key)) {
bucket = &t->bucket_info->buckets[i];
hdebug("Found key to delete in bucket %u\n", i);
goto found_it;
}
if (t->bucket_info->buckets[i].next_bucket == END_OF_CHAIN)
return;
prev = &t->bucket_info->buckets[i];
}
return;
found_it:;
assert(bucket->occupied);
// Always remove the last entry. If we need to remove some other entry,
// swap the other entry into the last position and then remove the last
// entry. This disturbs the ordering of the table, but keeps removal O(1)
// instead of O(N)
int64_t last_entry = t->entries.length-1;
if (bucket->index != last_entry) {
hdebug("Removing key/value from the middle of the entries array\n");
// Find the bucket that points to the last entry's index:
uint32_t i = HASH_KEY(*t, GET_ENTRY(*t, last_entry));
while (t->bucket_info->buckets[i].index != last_entry)
i = t->bucket_info->buckets[i].next_bucket;
// Update the bucket to point to the last entry's new home (the space
// where the removed entry currently sits):
t->bucket_info->buckets[i].index = bucket->index;
// Clobber the entry being removed (in the middle of the array) with
// the last entry:
memcpy(GET_ENTRY(*t, bucket->index), GET_ENTRY(*t, last_entry), entry_size(type));
}
// Last entry is being removed, so clear it out to be safe:
memset(GET_ENTRY(*t, last_entry), 0, entry_size(type));
Array$remove_at(&t->entries, I(t->entries.length), I(1), entry_size(type));
int64_t bucket_to_clear;
if (prev) { // Middle (or end) of a chain
hdebug("Removing from middle of a chain\n");
bucket_to_clear = (bucket - t->bucket_info->buckets);
prev->next_bucket = bucket->next_bucket;
} else if (bucket->next_bucket != END_OF_CHAIN) { // Start of a chain
hdebug("Removing from start of a chain\n");
bucket_to_clear = bucket->next_bucket;
*bucket = t->bucket_info->buckets[bucket_to_clear];
} else { // Empty chain
hdebug("Removing from empty chain\n");
bucket_to_clear = (bucket - t->bucket_info->buckets);
}
t->bucket_info->buckets[bucket_to_clear] = (bucket_t){0};
if (bucket_to_clear > t->bucket_info->last_free)
t->bucket_info->last_free = bucket_to_clear;
hshow(t);
}
public void *Table$entry(table_t t, int64_t n)
{
if (n < 1 || n > Table$length(t))
return NULL;
return GET_ENTRY(t, n-1);
}
public void Table$clear(table_t *t)
{
memset(t, 0, sizeof(table_t));
}
public table_t Table$sorted(table_t t, const TypeInfo *type)
{
closure_t cmp = (closure_t){.fn=generic_compare, .userdata=(void*)type->TableInfo.key};
array_t entries = Array$sorted(t.entries, cmp, entry_size(type));
return Table$from_entries(entries, type);
}
public bool Table$equal(const table_t *x, const table_t *y, const TypeInfo *type)
{
assert(type->tag == TableInfo);
if (Table$length(*x) != Table$length(*y))
return false;
if ((x->fallback != NULL) != (y->fallback != NULL))
return false;
return (Table$compare(x, y, type) == 0);
}
public int32_t Table$compare(const table_t *x, const table_t *y, const TypeInfo *type)
{
assert(type->tag == TableInfo);
auto table = type->TableInfo;
if (x->entries.length == 0)
return 0;
else if (x->entries.length != y->entries.length)
return (x->entries.length > y->entries.length) - (x->entries.length < y->entries.length);
for (int64_t i = 0; i < x->entries.length; i++) {
void *x_key = x->entries.data + x->entries.stride * i;
void *y_key = y->entries.data + y->entries.stride * i;
int32_t diff = generic_compare(x_key, y_key, table.key);
if (diff != 0) return diff;
void *x_value = x_key + value_offset(type);
void *y_value = y_key + value_offset(type);
diff = generic_compare(x_value, y_value, table.value);
if (diff != 0) return diff;
}
if (!x->fallback != !y->fallback) {
return (!x->fallback) - (!y->fallback);
} else if (x->fallback && y->fallback) {
return generic_compare(x->fallback, y->fallback, type);
}
return 0;
}
public uint32_t Table$hash(const table_t *t, const TypeInfo *type)
{
assert(type->tag == TableInfo);
// Table hashes are computed as:
// hash(hash(t.keys), hash(t.values), hash(t.fallback), hash(t.default))
// Where fallback and default hash to zero if absent
auto table = type->TableInfo;
uint32_t components[] = {
Array$hash(&t->entries, $ArrayInfo(table.key)),
Array$hash(&t->entries + value_offset(type), $ArrayInfo(table.value)),
t->fallback ? Table$hash(t->fallback, type) : 0,
};
uint32_t hash;
halfsiphash(&components, sizeof(components), TOMO_HASH_KEY, (uint8_t*)&hash, sizeof(hash));
return hash;
}
public Text_t Table$as_text(const table_t *t, bool colorize, const TypeInfo *type)
{
assert(type->tag == TableInfo);
auto table = type->TableInfo;
if (!t) {
if (table.value != &$Void)
return Text$concat(
Text("{"),
generic_as_text(NULL, false, table.key),
Text(":"),
generic_as_text(NULL, false, table.value),
Text("}"));
else
return Text$concat(
Text("{"),
generic_as_text(NULL, false, table.key),
Text("}"));
}
int64_t val_off = value_offset(type);
Text_t text = Text("{");
for (int64_t i = 0, length = Table$length(*t); i < length; i++) {
if (i > 0)
text = Text$concat(text, Text(", "));
void *entry = GET_ENTRY(*t, i);
text = Text$concat(text, generic_as_text(entry, colorize, table.key));
if (table.value != &$Void)
text = Text$concat(text, Text(":"), generic_as_text(entry + val_off, colorize, table.value));
}
if (t->fallback) {
text = Text$concat(text, Text("; fallback="), Table$as_text(t->fallback, colorize, type));
}
text = Text$concat(text, Text("}"));
return text;
}
public table_t Table$from_entries(array_t entries, const TypeInfo *type)
{
assert(type->tag == TableInfo);
if (entries.length == 0)
return (table_t){};
table_t t = {};
int64_t length = entries.length + entries.length / 4;
int64_t alloc_size = sizeof(bucket_info_t) + sizeof(bucket_t[length]);
t.bucket_info = GC_MALLOC_ATOMIC(alloc_size);
memset(t.bucket_info->buckets, 0, sizeof(bucket_t[length]));
t.bucket_info->count = length;
t.bucket_info->last_free = length-1;
int64_t offset = value_offset(type);
for (int64_t i = 0; i < entries.length; i++) {
void *key = entries.data + i*entries.stride;
Table$set(&t, key, key + offset, type);
}
return t;
}
// Overlap is "set intersection" in formal terms
public table_t Table$overlap(table_t a, table_t b, const TypeInfo *type)
{
// Return a table such that t[k]==a[k] for all k such that a:has(k), b:has(k), and a[k]==b[k]
table_t result = {};
const size_t offset = value_offset(type);
for (int64_t i = 0; i < Table$length(a); i++) {
void *key = GET_ENTRY(a, i);
void *a_value = key + offset;
void *b_value = Table$get(b, key, type);
if (b_value && generic_equal(a_value, b_value, type->TableInfo.value))
Table$set(&result, key, a_value, type);
}
if (a.fallback) {
result.fallback = new(table_t);
*result.fallback = Table$overlap(*a.fallback, b, type);
}
return result;
}
// With is "set union" in formal terms
public table_t Table$with(table_t a, table_t b, const TypeInfo *type)
{
// return a table such that t[k]==b[k] for all k such that b:has(k), and t[k]==a[k] for all k such that a:has(k) and not b:has(k)
table_t result = {};
const size_t offset = value_offset(type);
for (int64_t i = 0; i < Table$length(a); i++) {
void *key = GET_ENTRY(a, i);
Table$set(&result, key, key + offset, type);
}
for (int64_t i = 0; i < Table$length(b); i++) {
void *key = GET_ENTRY(b, i);
Table$set(&result, key, key + offset, type);
}
if (a.fallback && b.fallback) {
result.fallback = new(table_t);
*result.fallback = Table$with(*a.fallback, *b.fallback, type);
} else {
result.fallback = a.fallback ? a.fallback : b.fallback;
}
return result;
}
// Without is "set difference" in formal terms
public table_t Table$without(table_t a, table_t b, const TypeInfo *type)
{
// Return a table such that t[k]==a[k] for all k such that not b:has(k) or b[k] != a[k]
table_t result = {};
const size_t offset = value_offset(type);
for (int64_t i = 0; i < Table$length(a); i++) {
void *key = GET_ENTRY(a, i);
void *a_value = key + offset;
void *b_value = Table$get(b, key, type);
if (!b_value || !generic_equal(a_value, b_value, type->TableInfo.value))
Table$set(&result, key, a_value, type);
}
if (a.fallback) {
result.fallback = new(table_t);
*result.fallback = Table$without(*a.fallback, b, type);
}
return result;
}
public bool Table$is_subset_of(table_t a, table_t b, bool strict, const TypeInfo *type)
{
if (a.entries.length > b.entries.length || (strict && a.entries.length == b.entries.length))
return false;
for (int64_t i = 0; i < Table$length(a); i++) {
void *found = Table$get_raw(b, GET_ENTRY(a, i), type);
if (!found) return false;
}
return true;
}
public bool Table$is_superset_of(table_t a, table_t b, bool strict, const TypeInfo *type)
{
return Table$is_subset_of(b, a, strict, type);
}
public void *Table$str_get(table_t t, const char *key)
{
void **ret = Table$get(t, &key, &CStrToVoidStarTable);
return ret ? *ret : NULL;
}
public void *Table$str_get_raw(table_t t, const char *key)
{
void **ret = Table$get_raw(t, &key, &CStrToVoidStarTable);
return ret ? *ret : NULL;
}
public void *Table$str_reserve(table_t *t, const char *key, const void *value)
{
return Table$reserve(t, &key, &value, &CStrToVoidStarTable);
}
public void Table$str_set(table_t *t, const char *key, const void *value)
{
Table$set(t, &key, &value, &CStrToVoidStarTable);
}
public void Table$str_remove(table_t *t, const char *key)
{
return Table$remove(t, &key, &CStrToVoidStarTable);
}
public void *Table$str_entry(table_t t, int64_t n)
{
return Table$entry(t, n);
}
// vim: ts=4 sw=0 et cino=L2,l1,(0,W4,m1
|