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
634
635
636
637
638
639
640
641
642
643
644
645
646
647
648
649
650
651
652
653
654
655
656
657
658
659
660
661
662
663
664
665
666
667
668
669
670
671
672
673
674
675
676
677
678
679
680
681
682
683
684
685
686
687
688
689
690
|
/* Copyright (C) 2000, 2005 MySQL AB
This program is free software; you can redistribute it and/or modify
it under the terms of the GNU General Public License as published by
the Free Software Foundation; version 2 of the License.
This program is distributed in the hope that it will be useful,
but WITHOUT ANY WARRANTY; without even the implied warranty of
MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
GNU General Public License for more details.
You should have received a copy of the GNU General Public License
along with this program; if not, write to the Free Software
Foundation, Inc., 59 Temple Place, Suite 330, Boston, MA 02111-1307 USA */
/*
Code for generell handling of priority Queues.
Implemention of queues from "Algoritms in C" by Robert Sedgewick.
An optimisation of _downheap suggested in Exercise 7.51 in "Data
Structures & Algorithms in C++" by Mark Allen Weiss, Second Edition
was implemented by Mikael Ronstrom 2005. Also the O(N) algorithm
of queue_fix was implemented.
*/
#include "mysys_priv.h"
#include "mysys_err.h"
#include <queues.h>
/*
Init queue
SYNOPSIS
init_queue()
queue Queue to initialise
max_elements Max elements that will be put in queue
offset_to_key Offset to key in element stored in queue
Used when sending pointers to compare function
max_at_top Set to 1 if you want biggest element on top.
compare Compare function for elements, takes 3 arguments.
first_cmp_arg First argument to compare function
NOTES
Will allocate max_element pointers for queue array
RETURN
0 ok
1 Could not allocate memory
*/
int init_queue(QUEUE *queue, uint max_elements, uint offset_to_key,
pbool max_at_top, int (*compare) (void *, uchar *, uchar *),
void *first_cmp_arg)
{
DBUG_ENTER("init_queue");
if ((queue->root= (uchar **) my_malloc((max_elements+1)*sizeof(void*),
MYF(MY_WME))) == 0)
DBUG_RETURN(1);
queue->elements=0;
queue->compare=compare;
queue->first_cmp_arg=first_cmp_arg;
queue->max_elements=max_elements;
queue->offset_to_key=offset_to_key;
queue_set_max_at_top(queue, max_at_top);
DBUG_RETURN(0);
}
/*
Init queue, uses init_queue internally for init work but also accepts
auto_extent as parameter
SYNOPSIS
init_queue_ex()
queue Queue to initialise
max_elements Max elements that will be put in queue
offset_to_key Offset to key in element stored in queue
Used when sending pointers to compare function
max_at_top Set to 1 if you want biggest element on top.
compare Compare function for elements, takes 3 arguments.
first_cmp_arg First argument to compare function
auto_extent When the queue is full and there is insert operation
extend the queue.
NOTES
Will allocate max_element pointers for queue array
RETURN
0 ok
1 Could not allocate memory
*/
int init_queue_ex(QUEUE *queue, uint max_elements, uint offset_to_key,
pbool max_at_top, int (*compare) (void *, uchar *, uchar *),
void *first_cmp_arg, uint auto_extent)
{
int ret;
DBUG_ENTER("init_queue_ex");
if ((ret= init_queue(queue, max_elements, offset_to_key, max_at_top, compare,
first_cmp_arg)))
DBUG_RETURN(ret);
queue->auto_extent= auto_extent;
DBUG_RETURN(0);
}
/*
Reinitialize queue for other usage
SYNOPSIS
reinit_queue()
queue Queue to initialise
max_elements Max elements that will be put in queue
offset_to_key Offset to key in element stored in queue
Used when sending pointers to compare function
max_at_top Set to 1 if you want biggest element on top.
compare Compare function for elements, takes 3 arguments.
first_cmp_arg First argument to compare function
NOTES
This will delete all elements from the queue. If you don't want this,
use resize_queue() instead.
RETURN
0 ok
EE_OUTOFMEMORY Wrong max_elements
*/
int reinit_queue(QUEUE *queue, uint max_elements, uint offset_to_key,
pbool max_at_top, int (*compare) (void *, uchar *, uchar *),
void *first_cmp_arg)
{
DBUG_ENTER("reinit_queue");
queue->elements=0;
queue->compare=compare;
queue->first_cmp_arg=first_cmp_arg;
queue->offset_to_key=offset_to_key;
queue_set_max_at_top(queue, max_at_top);
resize_queue(queue, max_elements);
DBUG_RETURN(0);
}
/*
Resize queue
SYNOPSIS
resize_queue()
queue Queue
max_elements New max size for queue
NOTES
If you resize queue to be less than the elements you have in it,
the extra elements will be deleted
RETURN
0 ok
1 Error. In this case the queue is unchanged
*/
int resize_queue(QUEUE *queue, uint max_elements)
{
uchar **new_root;
DBUG_ENTER("resize_queue");
if (queue->max_elements == max_elements)
DBUG_RETURN(0);
if ((new_root= (uchar **) my_realloc((void *)queue->root,
(max_elements+1)*sizeof(void*),
MYF(MY_WME))) == 0)
DBUG_RETURN(1);
set_if_smaller(queue->elements, max_elements);
queue->max_elements= max_elements;
queue->root= new_root;
DBUG_RETURN(0);
}
/*
Delete queue
SYNOPSIS
delete_queue()
queue Queue to delete
IMPLEMENTATION
Just free allocated memory.
NOTES
Can be called safely multiple times
*/
void delete_queue(QUEUE *queue)
{
DBUG_ENTER("delete_queue");
if (queue->root)
{
my_free((uchar*) queue->root,MYF(0));
queue->root=0;
}
DBUG_VOID_RETURN;
}
/* Code for insert, search and delete of elements */
void queue_insert(register QUEUE *queue, uchar *element)
{
register uint idx, next;
DBUG_ASSERT(queue->elements < queue->max_elements);
queue->root[0]= element;
idx= ++queue->elements;
/* max_at_top swaps the comparison if we want to order by desc */
while ((queue->compare(queue->first_cmp_arg,
element + queue->offset_to_key,
queue->root[(next= idx >> 1)] +
queue->offset_to_key) * queue->max_at_top) < 0)
{
queue->root[idx]= queue->root[next];
idx= next;
}
queue->root[idx]= element;
}
/*
Does safe insert. If no more space left on the queue resize it.
Return codes:
0 - OK
1 - Cannot allocate more memory
2 - auto_extend is 0, the operation would
*/
int queue_insert_safe(register QUEUE *queue, uchar *element)
{
if (queue->elements == queue->max_elements)
{
if (!queue->auto_extent)
return 2;
else if (resize_queue(queue, queue->max_elements + queue->auto_extent))
return 1;
}
queue_insert(queue, element);
return 0;
}
/* Remove item from queue */
/* Returns pointer to removed element */
uchar *queue_remove(register QUEUE *queue, uint idx)
{
uchar *element;
DBUG_ASSERT(idx < queue->max_elements);
element= queue->root[++idx]; /* Intern index starts from 1 */
queue->root[idx]= queue->root[queue->elements--];
_downheap(queue, idx);
return element;
}
/* Fix when element on top has been replaced */
#ifndef queue_replaced
void queue_replaced(QUEUE *queue)
{
_downheap(queue,1);
}
#endif
#ifndef OLD_VERSION
void _downheap(register QUEUE *queue, uint idx)
{
uchar *element;
uint elements,half_queue,offset_to_key, next_index;
my_bool first= TRUE;
uint start_idx= idx;
offset_to_key=queue->offset_to_key;
element=queue->root[idx];
half_queue=(elements=queue->elements) >> 1;
while (idx <= half_queue)
{
next_index=idx+idx;
if (next_index < elements &&
(queue->compare(queue->first_cmp_arg,
queue->root[next_index]+offset_to_key,
queue->root[next_index+1]+offset_to_key) *
queue->max_at_top) > 0)
next_index++;
if (first &&
(((queue->compare(queue->first_cmp_arg,
queue->root[next_index]+offset_to_key,
element+offset_to_key) * queue->max_at_top) >= 0)))
{
queue->root[idx]= element;
return;
}
queue->root[idx]=queue->root[next_index];
idx=next_index;
first= FALSE;
}
next_index= idx >> 1;
while (next_index > start_idx)
{
if ((queue->compare(queue->first_cmp_arg,
queue->root[next_index]+offset_to_key,
element+offset_to_key) *
queue->max_at_top) < 0)
break;
queue->root[idx]=queue->root[next_index];
idx=next_index;
next_index= idx >> 1;
}
queue->root[idx]=element;
}
#else
/*
The old _downheap version is kept for comparisons with the benchmark
suit or new benchmarks anyone wants to run for comparisons.
*/
/* Fix heap when index have changed */
void _downheap(register QUEUE *queue, uint idx)
{
uchar *element;
uint elements,half_queue,next_index,offset_to_key;
offset_to_key=queue->offset_to_key;
element=queue->root[idx];
half_queue=(elements=queue->elements) >> 1;
while (idx <= half_queue)
{
next_index=idx+idx;
if (next_index < elements &&
(queue->compare(queue->first_cmp_arg,
queue->root[next_index]+offset_to_key,
queue->root[next_index+1]+offset_to_key) *
queue->max_at_top) > 0)
next_index++;
if ((queue->compare(queue->first_cmp_arg,
queue->root[next_index]+offset_to_key,
element+offset_to_key) * queue->max_at_top) >= 0)
break;
queue->root[idx]=queue->root[next_index];
idx=next_index;
}
queue->root[idx]=element;
}
#endif
/*
Fix heap when every element was changed.
*/
void queue_fix(QUEUE *queue)
{
uint i;
for (i= queue->elements >> 1; i > 0; i--)
_downheap(queue, i);
}
#ifdef MAIN
/*
A test program for the priority queue implementation.
It can also be used to benchmark changes of the implementation
Build by doing the following in the directory mysys
make test_priority_queue
./test_priority_queue
Written by Mikael Ronström, 2005
*/
static uint num_array[1025];
static uint tot_no_parts= 0;
static uint tot_no_loops= 0;
static uint expected_part= 0;
static uint expected_num= 0;
static my_bool max_ind= 0;
static my_bool fix_used= 0;
static ulonglong start_time= 0;
static my_bool is_divisible_by(uint num, uint divisor)
{
uint quotient= num / divisor;
if (quotient * divisor == num)
return TRUE;
return FALSE;
}
void calculate_next()
{
uint part= expected_part, num= expected_num;
uint no_parts= tot_no_parts;
if (max_ind)
{
do
{
while (++part <= no_parts)
{
if (is_divisible_by(num, part) &&
(num <= ((1 << 21) + part)))
{
expected_part= part;
expected_num= num;
return;
}
}
part= 0;
} while (--num);
}
else
{
do
{
while (--part > 0)
{
if (is_divisible_by(num, part))
{
expected_part= part;
expected_num= num;
return;
}
}
part= no_parts + 1;
} while (++num);
}
}
void calculate_end_next(uint part)
{
uint no_parts= tot_no_parts, num;
num_array[part]= 0;
if (max_ind)
{
expected_num= 0;
for (part= no_parts; part > 0 ; part--)
{
if (num_array[part])
{
num= num_array[part] & 0x3FFFFF;
if (num >= expected_num)
{
expected_num= num;
expected_part= part;
}
}
}
if (expected_num == 0)
expected_part= 0;
}
else
{
expected_num= 0xFFFFFFFF;
for (part= 1; part <= no_parts; part++)
{
if (num_array[part])
{
num= num_array[part] & 0x3FFFFF;
if (num <= expected_num)
{
expected_num= num;
expected_part= part;
}
}
}
if (expected_num == 0xFFFFFFFF)
expected_part= 0;
}
return;
}
static int test_compare(void *null_arg, uchar *a, uchar *b)
{
uint a_num= (*(uint*)a) & 0x3FFFFF;
uint b_num= (*(uint*)b) & 0x3FFFFF;
uint a_part, b_part;
if (a_num > b_num)
return +1;
if (a_num < b_num)
return -1;
a_part= (*(uint*)a) >> 22;
b_part= (*(uint*)b) >> 22;
if (a_part < b_part)
return +1;
if (a_part > b_part)
return -1;
return 0;
}
my_bool check_num(uint num_part)
{
uint part= num_part >> 22;
uint num= num_part & 0x3FFFFF;
if (part == expected_part)
if (num == expected_num)
return FALSE;
printf("Expect part %u Expect num 0x%x got part %u num 0x%x max_ind %u fix_used %u \n",
expected_part, expected_num, part, num, max_ind, fix_used);
return TRUE;
}
void perform_insert(QUEUE *queue)
{
uint i= 1, no_parts= tot_no_parts;
uint backward_start= 0;
expected_part= 1;
expected_num= 1;
if (max_ind)
backward_start= 1 << 21;
do
{
uint num= (i + backward_start);
if (max_ind)
{
while (!is_divisible_by(num, i))
num--;
if (max_ind && (num > expected_num ||
(num == expected_num && i < expected_part)))
{
expected_num= num;
expected_part= i;
}
}
num_array[i]= num + (i << 22);
if (fix_used)
queue_element(queue, i-1)= (uchar*)&num_array[i];
else
queue_insert(queue, (uchar*)&num_array[i]);
} while (++i <= no_parts);
if (fix_used)
{
queue->elements= no_parts;
queue_fix(queue);
}
}
my_bool perform_ins_del(QUEUE *queue, my_bool max_ind)
{
uint i= 0, no_loops= tot_no_loops, j= tot_no_parts;
do
{
uint num_part= *(uint*)queue_top(queue);
uint part= num_part >> 22;
if (check_num(num_part))
return TRUE;
if (j++ >= no_loops)
{
calculate_end_next(part);
queue_remove(queue, (uint) 0);
}
else
{
calculate_next();
if (max_ind)
num_array[part]-= part;
else
num_array[part]+= part;
queue_top(queue)= (uchar*)&num_array[part];
queue_replaced(queue);
}
} while (++i < no_loops);
return FALSE;
}
my_bool do_test(uint no_parts, uint l_max_ind, my_bool l_fix_used)
{
QUEUE queue;
my_bool result;
max_ind= l_max_ind;
fix_used= l_fix_used;
init_queue(&queue, no_parts, 0, max_ind, test_compare, NULL);
tot_no_parts= no_parts;
tot_no_loops= 1024;
perform_insert(&queue);
if ((result= perform_ins_del(&queue, max_ind)))
delete_queue(&queue);
if (result)
{
printf("Error\n");
return TRUE;
}
return FALSE;
}
static void start_measurement()
{
start_time= my_getsystime();
}
static void stop_measurement()
{
ulonglong stop_time= my_getsystime();
uint time_in_micros;
stop_time-= start_time;
stop_time/= 10; /* Convert to microseconds */
time_in_micros= (uint)stop_time;
printf("Time expired is %u microseconds \n", time_in_micros);
}
static void benchmark_test()
{
QUEUE queue_real;
QUEUE *queue= &queue_real;
uint i, add;
fix_used= TRUE;
max_ind= FALSE;
tot_no_parts= 1024;
init_queue(queue, tot_no_parts, 0, max_ind, test_compare, NULL);
/*
First benchmark whether queue_fix is faster than using queue_insert
for sizes of 16 partitions.
*/
for (tot_no_parts= 2, add=2; tot_no_parts < 128;
tot_no_parts+= add, add++)
{
printf("Start benchmark queue_fix, tot_no_parts= %u \n", tot_no_parts);
start_measurement();
for (i= 0; i < 128; i++)
{
perform_insert(queue);
queue_remove_all(queue);
}
stop_measurement();
fix_used= FALSE;
printf("Start benchmark queue_insert\n");
start_measurement();
for (i= 0; i < 128; i++)
{
perform_insert(queue);
queue_remove_all(queue);
}
stop_measurement();
}
/*
Now benchmark insertion and deletion of 16400 elements.
Used in consecutive runs this shows whether the optimised _downheap
is faster than the standard implementation.
*/
printf("Start benchmarking _downheap \n");
start_measurement();
perform_insert(queue);
for (i= 0; i < 65536; i++)
{
uint num, part;
num= *(uint*)queue_top(queue);
num+= 16;
part= num >> 22;
num_array[part]= num;
queue_top(queue)= (uchar*)&num_array[part];
queue_replaced(queue);
}
for (i= 0; i < 16; i++)
queue_remove(queue, (uint) 0);
queue_remove_all(queue);
stop_measurement();
}
int main()
{
int i, add= 1;
for (i= 1; i < 1024; i+=add, add++)
{
printf("Start test for priority queue of size %u\n", i);
if (do_test(i, 0, 1))
return -1;
if (do_test(i, 1, 1))
return -1;
if (do_test(i, 0, 0))
return -1;
if (do_test(i, 1, 0))
return -1;
}
benchmark_test();
printf("OK\n");
return 0;
}
#endif
|