forked from simongog/sdsl-lite
-
Notifications
You must be signed in to change notification settings - Fork 0
/
Copy pathbp_support_g.hpp
626 lines (570 loc) · 28.2 KB
/
bp_support_g.hpp
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
/* sdsl - succinct data structures library
Copyright (C) 2009 Simon Gog
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, either version 3 of the License, or
(at your option) any later version.
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, see http://www.gnu.org/licenses/ .
*/
/*! \file bp_support_g.hpp
\brief bp_support_g.hpp contains an implementation of a balanced parentheses support data structure.
\author Simon Gog
*/
#ifndef INCLUDED_SDSL_BP_SUPPORT_G
#define INCLUDED_SDSL_BP_SUPPORT_G
#include "int_vector.hpp"
#include "nearest_neighbour_dictionary.hpp"
#include "rmq_support.hpp"
#include "rank_support.hpp"
#include "select_support.hpp"
#include "algorithms.hpp"
#include "util.hpp"
#include <stack>
#include <map>
#include <set>
#include <utility>
#include <stdexcept>
namespace sdsl
{
//! A class that provides support for bit_vectors that represent a BP sequence.
/*! This data structure supports the following operations:
* - find_open
* - find_close
* - enclose
* - double_enclose
* - rank
* - select
* - excess
* - rr_enclose
* An opening parenthesis in the balanced parentheses sequence is represented by a 1 in the bit_vector
* and a closing parenthesis by a 0.
*
* \tparam t_nnd Type which supports rank and select with little space on sparse populated bit_vectors.
* \tparam t_rank Type of rank support structure.
* \tparam t_select Type of select support structure.
* \tparam t_rmq Type which supports range maximum queries on a int_vector<>.
* \par Reference
* Richard F. Geary, Naila Rahman, Rajeev Raman, Venkatesh Raman:
* A Simple Optimal Representation for Balanced Parentheses.
* CPM 2004: 159-172
*
* @ingroup bps
*/
template<class t_nnd = nearest_neighbour_dictionary<30>,
class t_rank = rank_support_v5<>,
class t_select = select_support_mcl<>,
class t_rmq = range_maximum_support_sparse_table<int_vector<> >::type >
class bp_support_g
{
public:
typedef bit_vector::size_type size_type;
typedef t_nnd nnd_type;
typedef t_rank rank_type;
typedef t_select select_type;
typedef t_rmq rmq_type;
private:
const bit_vector* m_bp; // the supported BP sequence as bit_vector
rank_type m_rank_bp; // rank support for the BP sequence => see excess() and rank()
select_type m_select_bp; // select support for the BP sequence => see select()
nnd_type m_nnd; // nearest neighbour dictionary for pioneers bit_vector
bit_vector m_pioneer_bp; // first level of recursion: BP sequence of the pioneers
rank_type m_rank_pioneer_bp;// rank for the BP sequence of the pioneers
nnd_type m_nnd2; // nearest neighbour dictionary for pioneers of pioneers bit_vector
int_vector<> m_match; //
int_vector<> m_enclose; //
rmq_type m_range_max_match;// range maximum support for m_match
uint32_t m_block_size;
size_type m_size;
size_type m_blocks; // number of blocks
void copy(const bp_support_g& bp_support) {
m_bp = bp_support.m_bp;
m_rank_bp = bp_support.m_rank_bp;
m_rank_bp.set_vector(m_bp);
m_select_bp = bp_support.m_select_bp;
m_select_bp.set_vector(m_bp);
m_nnd = bp_support.m_nnd;
m_pioneer_bp = bp_support.m_pioneer_bp;
m_rank_pioneer_bp = bp_support.m_rank_pioneer_bp;
m_rank_pioneer_bp.set_vector(&m_pioneer_bp);
m_nnd2 = bp_support.m_nnd2;
m_match = bp_support.m_match;
m_enclose = bp_support.m_enclose;
m_range_max_match = bp_support.m_range_max_match;
m_range_max_match.set_vector(&m_match);
m_block_size = bp_support.m_block_size;
m_size = bp_support.m_size;
m_blocks = bp_support.m_blocks;
}
/*! Calculates the excess value at index i in the pioneer bitmap.
* \param i The index of which the excess value should be calculated.
*/
inline size_type excess_pioneer(size_type i)const {
return (m_rank_pioneer_bp(i+1)<<1)-i-1;
}
public:
const rank_type& bp_rank;
const select_type& bp_select;
//! Constructor
explicit bp_support_g(const bit_vector* bp = NULL, uint32_t used_block_size = 840):m_bp(bp), m_block_size(used_block_size), m_size(bp==NULL?0:bp->size()), m_blocks((m_size+used_block_size-1)/used_block_size),bp_rank(m_rank_bp), bp_select(m_select_bp) {
if (m_block_size<=2) {
throw std::logic_error(util::demangle(typeid(this).name())+": block_size should be greater than 2!");
}
if (bp == NULL)
return;
util::init_support(m_rank_bp, bp);
util::init_support(m_select_bp, bp);
bit_vector pioneer;
// calulate pioneers
algorithm::calculate_pioneers_bitmap(*m_bp, m_block_size, pioneer);
m_nnd = nnd_type(pioneer);
m_pioneer_bp.resize(m_nnd.ones());
for (size_type i=1; i<= m_nnd.ones(); ++i) // replace this by an iterator!!! see todo for the nnd data structure
m_pioneer_bp[i-1] = (*m_bp)[m_nnd.select(i)];
util::init_support(m_rank_pioneer_bp, &m_pioneer_bp);
algorithm::calculate_pioneers_bitmap(m_pioneer_bp, m_block_size, pioneer);
m_nnd2 = nnd_type(pioneer);
bit_vector pioneer_bp2 = bit_vector(m_nnd2.ones());
for (size_type i=1; i<= m_nnd2.ones(); ++i) // replace this by an iterator!!! see todo for the nnd data structure
pioneer_bp2[i-1] = m_pioneer_bp[m_nnd2.select(i)];
algorithm::calculate_matches(pioneer_bp2, m_match);
algorithm::calculate_enclose(pioneer_bp2, m_enclose);
m_range_max_match = rmq_type(&m_match);
}
//! Copy constructor
bp_support_g(const bp_support_g& bp_support): bp_rank(m_rank_bp), bp_select(m_select_bp) {
copy(bp_support);
}
//! Assignment operator
bp_support_g& operator=(const bp_support_g& bp_support) {
if (this != &bp_support) {
copy(bp_support);
}
return *this;
}
void swap(bp_support_g& bp_support) {
m_rank_bp.swap(bp_support.m_rank_bp);
m_select_bp.swap(bp_support.m_select_bp);
m_nnd.swap(bp_support.m_nnd);
m_pioneer_bp.swap(bp_support.m_pioneer_bp);
util::swap_support(m_rank_pioneer_bp, bp_support.m_rank_pioneer_bp,
&m_pioneer_bp, &(bp_support.m_pioneer_bp));
m_nnd2.swap(bp_support.m_nnd2);
m_match.swap(bp_support.m_match);
m_enclose.swap(bp_support.m_enclose);
util::swap_support(m_range_max_match, bp_support.m_range_max_match,
&m_match, &(bp_support.m_match));
std::swap(m_block_size, bp_support.m_block_size);
std::swap(m_size, bp_support.m_size);
std::swap(m_blocks, bp_support.m_blocks);
}
void set_vector(const bit_vector* bp) {
m_bp = bp;
m_rank_bp.set_vector(bp);
m_select_bp.set_vector(bp);
}
/*! Calculates the excess value at index i.
* \param i The index of which the excess value should be calculated.
*/
inline size_type excess(size_type i)const {
return (m_rank_bp(i+1)<<1)-i-1;
}
/*! Returns the number of opening parentheses up to and including index i.
* \pre{ \f$ 0\leq i < size() \f$ }
*/
size_type rank(size_type i)const {
return m_rank_bp(i+1);
}
/*! Returns the index of the i-th opening parenthesis.
* \param i Number of the parenthesis to select.
* \pre{ \f$1\leq i < rank(size())\f$ }
* \post{ \f$ 0\leq select(i) < size() \f$ }
*/
size_type select(size_type i)const {
return m_select_bp(i);
}
/*! Calculate the index of the matching closing parenthesis to the parenthesis at index i.
* \param i Index of an parenthesis. 0 <= i < size().
* \return * i, if the parenthesis at index i is closing,
* * the position j of the matching closing parenthesis, if a matching parenthesis exists,
* * size() if no matching closing parenthesis exists.
*/
size_type find_close(size_type i)const {
assert(i < m_size);
if (!(*m_bp)[i]) {// if there is a closing parenthesis at index i return i
return i;
}
size_type mi = 0; // match for i
if ((mi=algorithm::near_find_close(*m_bp, i, m_block_size))==i) {
const size_type i2 = m_nnd.rank(i+1)-1; // lemma that this gives us an opening pioneer
assert(m_pioneer_bp[i2]==1); // assert that i2 is an opening parenthesis
size_type mi2 = 0; // match for i2
if ((mi2=algorithm::near_find_close(m_pioneer_bp, i2, m_block_size)) == i2) {
const size_type i3 = m_nnd2.rank(i2+1)-1;
const size_type mi3 = m_match[i3]; assert(mi3>i3); // assert that i3 is an opening parenthesis
mi2 = m_nnd2.select(mi3+1); // matching pioneer position in pioneer_bp
mi2 = (mi2/m_block_size)*m_block_size;
size_type epb = excess_pioneer(mi2);// excess of first parenthesis in the pioneer block
const size_type ei = excess_pioneer(i2);// excess of pioneer
/* invariant: epb >= ei-1 */ assert(epb+1 >= ei);
while (epb+1 != ei) {
assert(mi2 < m_pioneer_bp.size());
if (m_pioneer_bp[++mi2])
++epb;
else
--epb;
}
}
mi = m_nnd.select(mi2+1); /* matching pioneer position in bp */ assert((*m_bp)[mi]==0);
mi = (mi/m_block_size)*m_block_size;
size_type epb = excess(mi); // excess of first parenthesis in the pioneer block
const size_type ei = excess(i); // excess at position i
/* invariant: epb >= ei-1 */ assert(epb+1 >= ei);
while (epb+1 != ei) {
assert(mi < m_size);
if ((*m_bp)[++mi])
++epb;
else
--epb;
}
}
return mi;
}
//! Calculate the matching opening parenthesis to the closing parenthesis at position i
/*! \param i Index of a closing parenthesis.
* \return * i, if the parenthesis at index i is closing,
* * the position j of the matching opening parenthesis, if a matching parenthesis exists,
* * size() if no matching closing parenthesis exists.
*/
size_type find_open(size_type i)const {
assert(i < m_size);
if ((*m_bp)[i]) {// if there is a opening parenthesis at index i return i
return i;
}
size_type mi = 0; // match for i
if ((mi=algorithm::near_find_open(*m_bp, i, m_block_size)) == i) {
const size_type i2 = m_nnd.rank(i); // lemma that this gives us an closing pioneer
assert(m_pioneer_bp[i2]==0); // assert that i2 is an opening parenthesis
const size_type mi2 = find_open_in_pioneers(i2); assert(m_pioneer_bp[mi2]==1);
mi = m_nnd.select(mi2+1); /* matching pioneer position in bp */ assert((*m_bp)[mi]==1);
mi = (mi/m_block_size)*m_block_size + m_block_size - 1; assert(mi < i);
size_type epb = excess(mi); // excess of last parenthesis in the pioneer block
const size_type ei = excess(i); // excess at position i
/*invariant: epb >= ei+1*/ assert(epb >= ei+1);
while (epb != ei) {
assert(mi < m_size);
if ((*m_bp)[mi--])
--epb;
else
++epb;
}
++mi;
}
return mi;
}
inline size_type find_open_in_pioneers(size_type i)const {
size_type mi = 0; // match for i
if ((mi=algorithm::near_find_open(m_pioneer_bp, i, m_block_size))==i) {
const size_type i3 = m_nnd2.rank(i);
const size_type mi3 = m_match[i3]; assert(mi3<i3); // assert that i3 is an closing parenthesis
mi = m_nnd2.select(mi3+1); // matching pioneer position in pioneer_bp
mi = (mi/m_block_size)*m_block_size + m_block_size - 1;
size_type epb2 = excess_pioneer(mi);// excess of last parenthesis in the pioneer block
const size_type ei = excess_pioneer(i);// excess of pioneer
/* invariant: epb2 >= ei+1 */ assert(epb2 >= ei+1);
while (epb2 != ei) {
assert(mi < m_pioneer_bp.size());
if (m_pioneer_bp[mi--])
--epb2;
else
++epb2;
}
++mi;
}
return mi;
}
//! Calculate the index of the opening parenthesis corresponding to the closest matching parenthesis pair enclosing i.
/*! \param i Index of an opening parenthesis.
* \return The index of the opening parenthesis corresponding to the closest matching parenthesis pair enclosing i,
* or size() if no such pair exists.
*/
size_type enclose(size_type i)const {
assert(i < m_size);
if (!(*m_bp)[i]) { // if there is closing parenthesis at position i
return find_open(i);
}
const size_type exi = excess(i);
if (exi == 1) // if i is not enclosed by a parentheses pair..
return size();
size_type ei; // enclose for i
if ((ei=algorithm::near_enclose(*m_bp, i, m_block_size))==i) {
const size_type i2 = m_nnd.rank(i); // next parenthesis in the pioneer bitmap
size_type ei2; // enclose for i2
if (m_pioneer_bp[i2]) { // search enclose in the pioneer bp
if ((ei2=algorithm::near_enclose(m_pioneer_bp, i2, m_block_size))==i2) {
const size_type i3 = m_nnd2.rank(i2); // next parenthesis in the pioneer2 bitmap
const size_type ei3 = m_enclose[i3]; assert(ei3<i3); // assert that enclose answer is valid
ei2 = m_nnd2.select(ei3+1); assert(m_pioneer_bp[ei2] == 1);
ei2 = (ei2/m_block_size)*m_block_size + m_block_size - 1; assert(ei2 < i2);
size_type epb2 = excess_pioneer(ei2);// excess of the last parenthesis in the pioneer block
const size_type exi2 = excess_pioneer(i2);// excess
/* invariant epb2+1 >= exi2 */ assert(epb2+1 >= exi2);
while (epb2+2 != exi2) {
if (m_pioneer_bp[ei2--])
--epb2;
else
++epb2;
}
++ei2;
}
} else {
// if the next parenthesis in the pioneer bitmap is an closing parenthesis findopen on m_pioneer_bp
ei2 = find_open_in_pioneers(i2);
}
assert(m_pioneer_bp[ei2]==1);
ei = m_nnd.select(ei2+1); assert((*m_bp)[ei]==1);
ei = (ei/m_block_size)*m_block_size + m_block_size - 1; assert(ei < i);
size_type epb = excess(ei); // excess of the last parenthesis in the pioneer block
/* invariant epb+1 >= exi */ assert(epb+1 >= exi);
while (epb+2 != exi) {
if ((*m_bp)[ei--])
--epb;
else
++epb;
}
++ei;
}
return ei;
}
//! The range restricted enclose operation
/*! \param i Index of an opening parenthesis.
* \param j Index of an opening parenthesis/ \f$ i<j \wedge findclose(i) < j \f$.
* \return The smallest index, say k, of an opening parenthesis such that findclose(i) < k < j and
* findclose(j) < findclose(k). If such a k does not exists, restricted_enclose(i,j) returns size().
* \par Time complexity
* \f$ \Order{block\_size} \f$
*/
size_type rr_enclose(const size_type i, const size_type j)const {
assert(j > i and j < m_size);
const size_type mip1 = find_close(i)+1;
if (mip1 >= j)
return size();
return rmq_open(mip1, j);
}
/*! Search the interval [l,r-1] for an opening parenthesis, say i, such that find_close(i) >= r.
* \param l The left end (inclusive) of the interval to search for the result.
* \param r The right end (exclusive) of the interval to search for the result.
* \return the minimal opening parenthesis i with \f$ \ell \leq i < r \f$ and \f$ find_close(i) \geq r \f$;
* if no such i exists size() is returned.
* The algorithm consists of 4 steps:
* 1. scan back from position r to the begin of that block
* 2. recursively scan back the pioneers of the blocks which lie in between the blocks of l and r
* 3. scan from position l to the end of the block, which contains l
* 4. check if there exists a valid solution and return
* \par Time complexity
* \f$ \Order{block\_size} \f$
*/
size_type rmq_open(const size_type l, const size_type r)const {
if (l >= r)
return size();
size_type min_ex_pos = r;
if (l/m_block_size == r/m_block_size) {
min_ex_pos = algorithm::near_rmq_open(*m_bp, l, r);
} else { // parentheses pair does not start in the same block
// assert( l>1 ); // mi is at greater or equal than 1
// note: mi and r are not in the same block
size_type k, ex; // helper variables
size_type min_ex = excess(r);// + 2*((*m_bp[r])==0); // minimal excess
const size_type bl = (l/m_block_size+1)*m_block_size; // leftmost position of the leftmost block between the blocks of l and r
const size_type br = (r/m_block_size)*m_block_size; // leftmost position of the block of r
// 1.2
size_type l_ = m_nnd.rank(l); // l_ inclusive
size_type r_ = m_nnd.rank(r); // r_ exclusive
if (r_ > l_) {
size_type min_ex_pos_ = r_;
if (l_/m_block_size == r_/m_block_size) {
min_ex_pos_ = algorithm::near_rmq_open(m_pioneer_bp, l_, r_);
} else if (r_ < m_pioneer_bp.size()) {
size_type min_ex_ = excess_pioneer(r_)+2*(m_pioneer_bp[r_]==0);
const size_type bl_ = (l_/m_block_size+1)*m_block_size;
const size_type br_ = (r_/m_block_size)*m_block_size;
// 2.2
size_type l__ = m_nnd2.rank(l_); // l__ inclusive
size_type r__ = m_nnd2.rank(r_); // r__ exclusive
if (r__ > l__) {
size_type max_match = 0;
k = m_range_max_match(l__, r__-1);
max_match = m_match[k];
if (max_match >= r__) {
k = m_nnd2.select(k+1);
if (k < r_ and (ex=excess_pioneer(k)) < min_ex_) {
min_ex_ = ex; min_ex_pos_ = k;
}
}
}
if (min_ex_pos_ == r_) {
// 2.1
k = algorithm::near_rmq_open(m_pioneer_bp, br_, r_);
if (k < r_ and (ex=excess_pioneer(k)) < min_ex_) {
min_ex_ = ex; min_ex_pos_ = k;
}
}
// 2.3
k = algorithm::near_rmq_open(m_pioneer_bp, l_, bl_);
if (k < bl_ and (ex=excess_pioneer(k)) < min_ex_) {
min_ex_ = ex; min_ex_pos_ = k;
}
}
// 2.4
if (min_ex_pos_ < r_) {
k = m_nnd.select(min_ex_pos_ + 1);
if ((ex=excess(k)) < min_ex) {
min_ex = ex; min_ex_pos = k;
}
}
}
if (min_ex_pos == r) {
// 1.1
k = algorithm::near_rmq_open(*m_bp, br, r);
if (k < r and (ex=excess(k)) < min_ex) {
min_ex = ex; min_ex_pos = k;
}
}
// 1.3
k = algorithm::near_rmq_open(*m_bp, l, bl);
if (k < bl and (ex=excess(k)) < min_ex) {
min_ex = ex; min_ex_pos = k;
}
}
// 1.4
if (min_ex_pos < r)
return min_ex_pos;
else
return size();
}
//! The range restricted enclose operation
/*! \param i Index of an opening parenthesis.
* \param j Index of an opening parenthesis/ \f$ i<j \wedge findclose(i) < j \f$.
* \return The smallest index, say k, of an opening parenthesis such that findclose(i) < k < j and
* findclose(j) < findclose(k). If such a k does not exists, restricted_enclose(i,j) returns size().
*/
size_type rr_enclose_naive(size_type i, size_type j)const {
assert(j > i and j < m_size);
size_type mi = find_close(i); // matching parenthesis to i
assert(mi > i and mi < j);
assert(find_close(j) > j);
size_type k = enclose(j);
if (k == m_size or k < i) // there exists no opening parenthesis at position mi<k<j.
return m_size;
size_type kk;
do {
kk = k;
k = enclose(k);
} while (k != m_size and k > mi);
return kk;
}
//! The range minimum query (rmq) returns the index of the parenthesis with minimal excess in the range \f$[l..r]\f$
/*! \param l The left border of the interval \f$[l..r]\f$ (\f$l\leq r\f$).
* \param r The right border of the interval \f$[l..r]\f$ (\f$l \leq r\f$).
*/
size_type rmq(size_type l, size_type r)const {
assert(l<=r);
size_type m = rmq_open(l, r+1);
if (m==l)
return l;
else { // m>l and m<=r
assert(0 == (*m_bp)[m-1]);
size_type prev_open = m_rank_bp(m);
if (prev_open == 0 or m_select_bp(prev_open) < l) { // if there exists no opening parenthesis to the left of m which is greater or equal than l
return l;
} else {
return m-1;
}
}
}
//! The double enclose operation
/*! \param i Index of an opening parenthesis.
* \param j Index of an opening parenthesis \f$ i<j \wedge findclose(i) < j \f$.
* \return The maximal opening parenthesis, say k, such that \f$ k<j \wedge k>findclose(j) \f$.
* If such a k does not exists, double_enclose(i,j) returns size().
*/
size_type double_enclose(size_type i, size_type j)const {
assert(j > i);
assert((*m_bp)[i]==1 and (*m_bp)[j]==1);
size_type k = rr_enclose(i, j);
if (k == size())
return enclose(j);
else
return enclose(k);
}
//! Return the number of zeros which procede position i in the balanced parentheses sequence.
/*! \param i Index of an parenthesis.
*/
size_type preceding_closing_parentheses(size_type i)const {
assert(i < m_size);
if (!i) return 0;
size_type ones = m_rank_bp(i);
if (ones) { // ones > 0
assert(m_select_bp(ones) < i);
return i - m_select_bp(ones) - 1;
} else {
return i;
}
}
/*! The size of the supported balanced parentheses sequence.
* \return the size of the supported balanced parentheses sequence.
*/
size_type size() const {
return m_size;
}
//! Serializes the bp_support_g to a stream.
/*!
* \param out The outstream to which the data structure is written.
* \return The number of bytes written to out.
*/
size_type serialize(std::ostream& out, structure_tree_node* v=NULL, std::string name="")const {
structure_tree_node* child = structure_tree::add_child(v, name, util::class_name(*this));
size_type written_bytes = 0;
written_bytes += m_rank_bp.serialize(out, child, "bp_rank");
written_bytes += m_select_bp.serialize(out, child, "bp_select");
written_bytes += m_nnd.serialize(out, child,"nearest_neighbor_dictionary");
written_bytes += m_pioneer_bp.serialize(out, child, "pioneer_bp");
written_bytes += m_rank_pioneer_bp.serialize(out, child, "pioneer_bp_rank");
written_bytes += m_nnd2.serialize(out, child, "nearest_neighbor_dictionary2");
written_bytes += m_match.serialize(out, child, "match_answers");
written_bytes += m_enclose.serialize(out, child, "enclose_answers");
written_bytes += m_range_max_match.serialize(out, child, "rmq_answers");
written_bytes += write_member(m_block_size, out, child, "block_size");
written_bytes += write_member(m_size, out, child, "size");
written_bytes += write_member(m_blocks, out, child, "block_cnt");
structure_tree::add_size(child, written_bytes);
return written_bytes;
}
//! Load the bp_support_g for a bit_vector v.
/*!
* \param in The instream from which the data strucutre is read.
* \param bp Bit vector representing a balanced parentheses sequence that is supported by this data structure.
*/
void load(std::istream& in, const bit_vector* bp) {
m_bp = bp;
m_rank_bp.load(in, m_bp);
m_select_bp.load(in, m_bp);
m_nnd.load(in);
m_pioneer_bp.load(in);
m_rank_pioneer_bp.load(in, &m_pioneer_bp);
m_nnd2.load(in);
m_match.load(in);
m_enclose.load(in);
m_range_max_match.load(in, &m_match);
read_member(m_block_size, in);
read_member(m_size, in);
assert(m_size == bp->size());
read_member(m_blocks, in);
}
};
}// end namespace
#endif