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
691
692
693
694
695
696
697
698
699
700
701
702
703
704
705
706
707
708
709
710
711
712
713
714
715
716
717
718
719
720
721
722
723
724
725
726
727
728
729
730
731
732
733
734
735
736
737
738
739
740
741
742
743
744
745
746
747
748
749
750
751
752
753
754
755
756
757
758
759
760
761
762
763
764
765
766
767
768
769
770
771
772
773
774
775
776
777
778
779
780
781
782
783
784
785
786
787
788
789
790
791
792
793
794
795
796
797
798
799
800
801
802
803
804
805
806
807
808
809
810
811
812
813
814
815
816
817
818
819
820
821
822
823
824
825
826
827
828
829
830
831
832
833
834
835
836
837
838
839
840
841
842
843
844
845
846
847
848
849
850
851
852
853
854
855
856
857
858
859
860
861
862
863
864
865
866
867
868
869
870
871
872
873
874
875
876
877
878
879
880
881
882
883
|
//===-- llvm/Support/APInt.h - For Arbitrary Precision Integer -*- C++ -*--===//
//
// The LLVM Compiler Infrastructure
//
// This file was developed by Sheng Zhou and is distributed under the
// University of Illinois Open Source License. See LICENSE.TXT for details.
//
//===----------------------------------------------------------------------===//
//
// This file implements a class to represent arbitrary precision integral
// constant values.
//
//===----------------------------------------------------------------------===//
#ifndef LLVM_APINT_H
#define LLVM_APINT_H
#include "llvm/Support/DataTypes.h"
#include <cassert>
#include <string>
namespace llvm {
/// Forward declaration.
class APInt;
namespace APIntOps {
APInt udiv(const APInt& LHS, const APInt& RHS);
APInt urem(const APInt& LHS, const APInt& RHS);
}
//===----------------------------------------------------------------------===//
// APInt Class
//===----------------------------------------------------------------------===//
/// APInt - This class represents arbitrary precision constant integral values.
/// It is a functional replacement for common case unsigned integer type like
/// "unsigned", "unsigned long" or "uint64_t", but also allows non-byte-width
/// integer sizes and large integer value types such as 3-bits, 15-bits, or more
/// than 64-bits of precision. APInt provides a variety of arithmetic operators
/// and methods to manipulate integer values of any bit-width. It supports both
/// the typical integer arithmetic and comparison operations as well as bitwise
/// manipulation.
///
/// The class has several invariants worth noting:
/// * All bit, byte, and word positions are zero-based.
/// * Once the bit width is set, it doesn't change except by the Truncate,
/// SignExtend, or ZeroExtend operations.
/// * All binary operators must be on APInt instances of the same bit width.
/// Attempting to use these operators on instances with different bit
/// widths will yield an assertion.
/// * The value is stored canonically as an unsigned value. For operations
/// where it makes a difference, there are both signed and unsigned variants
/// of the operation. For example, sdiv and udiv. However, because the bit
/// widths must be the same, operations such as Mul and Add produce the same
/// results regardless of whether the values are interpreted as signed or
/// not.
/// * In general, the class tries to follow the style of computation that LLVM
/// uses in its IR. This simplifies its use for LLVM.
///
/// @brief Class for arbitrary precision integers.
class APInt {
uint32_t BitWidth; ///< The number of bits in this APInt.
/// This union is used to store the integer value. When the
/// integer bit-width <= 64, it uses VAL;
/// otherwise it uses the pVal.
union {
uint64_t VAL; ///< Used to store the <= 64 bits integer value.
uint64_t *pVal; ///< Used to store the >64 bits integer value.
};
/// This enum is just used to hold a constant we needed for APInt.
enum {
APINT_BITS_PER_WORD = sizeof(uint64_t) * 8,
APINT_WORD_SIZE = sizeof(uint64_t)
};
// Fast internal constructor
APInt(uint64_t* val, uint32_t bits) : BitWidth(bits), pVal(val) { }
/// Here one word's bitwidth equals to that of uint64_t.
/// @returns the number of words to hold the integer value of this APInt.
/// @brief Get the number of words.
inline uint32_t getNumWords() const {
return (BitWidth + APINT_BITS_PER_WORD - 1) / APINT_BITS_PER_WORD;
}
/// @returns true if the number of bits <= 64, false otherwise.
/// @brief Determine if this APInt just has one word to store value.
inline bool isSingleWord() const {
return BitWidth <= APINT_BITS_PER_WORD;
}
/// @returns the word position for the specified bit position.
static inline uint32_t whichWord(uint32_t bitPosition) {
return bitPosition / APINT_BITS_PER_WORD;
}
/// @returns the bit position in a word for the specified bit position
/// in APInt.
static inline uint32_t whichBit(uint32_t bitPosition) {
return bitPosition % APINT_BITS_PER_WORD;
}
/// @returns a uint64_t type integer with just bit position at
/// "whichBit(bitPosition)" setting, others zero.
static inline uint64_t maskBit(uint32_t bitPosition) {
return (static_cast<uint64_t>(1)) << whichBit(bitPosition);
}
/// This method is used internally to clear the to "N" bits that are not used
/// by the APInt. This is needed after the most significant word is assigned
/// a value to ensure that those bits are zero'd out.
/// @brief Clear high order bits
inline APInt& clearUnusedBits() {
// Compute how many bits are used in the final word
uint32_t wordBits = BitWidth % APINT_BITS_PER_WORD;
if (wordBits == 0)
// If all bits are used, we want to leave the value alone. This also
// avoids the undefined behavior of >> when the shfit is the same size as
// the word size (64).
return *this;
// Mask out the hight bits.
uint64_t mask = ~uint64_t(0ULL) >> (APINT_BITS_PER_WORD - wordBits);
if (isSingleWord())
VAL &= mask;
else
pVal[getNumWords() - 1] &= mask;
return *this;
}
/// @returns the corresponding word for the specified bit position.
/// @brief Get the word corresponding to a bit position
inline uint64_t getWord(uint32_t bitPosition) const {
return isSingleWord() ? VAL : pVal[whichWord(bitPosition)];
}
/// This is used by the constructors that take string arguments.
/// @brief Converts a char array into an APInt
void fromString(uint32_t numBits, const char *StrStart, uint32_t slen,
uint8_t radix);
/// This is used by the toString method to divide by the radix. It simply
/// provides a more convenient form of divide for internal use since KnuthDiv
/// has specific constraints on its inputs. If those constraints are not met
/// then it provides a simpler form of divide.
/// @brief An internal division function for dividing APInts.
static void divide(const APInt LHS, uint32_t lhsWords,
const APInt &RHS, uint32_t rhsWords,
APInt *Quotient, APInt *Remainder);
#ifndef NDEBUG
/// @brief debug method
void dump() const;
#endif
public:
/// @brief Create a new APInt of numBits width, initialized as val.
APInt(uint32_t numBits, uint64_t val);
/// Note that numWords can be smaller or larger than the corresponding bit
/// width but any extraneous bits will be dropped.
/// @brief Create a new APInt of numBits width, initialized as bigVal[].
APInt(uint32_t numBits, uint32_t numWords, uint64_t bigVal[]);
/// @brief Create a new APInt by translating the string represented
/// integer value.
APInt(uint32_t numBits, const std::string& Val, uint8_t radix);
/// @brief Create a new APInt by translating the char array represented
/// integer value.
APInt(uint32_t numBits, const char StrStart[], uint32_t slen, uint8_t radix);
/// @brief Copy Constructor.
APInt(const APInt& API);
/// @brief Destructor.
~APInt();
/// @brief Copy assignment operator.
APInt& operator=(const APInt& RHS);
/// Assigns an integer value to the APInt.
/// @brief Assignment operator.
APInt& operator=(uint64_t RHS);
/// Increments the APInt by one.
/// @brief Postfix increment operator.
inline const APInt operator++(int) {
APInt API(*this);
++(*this);
return API;
}
/// Increments the APInt by one.
/// @brief Prefix increment operator.
APInt& operator++();
/// Decrements the A
|