xref: /llvm-project/llvm/unittests/ADT/APIntTest.cpp (revision fea2139740e94953749b030b8c1e5b75f9a308b4)
1 //===- llvm/unittest/ADT/APInt.cpp - APInt unit tests ---------------------===//
2 //
3 //                     The LLVM Compiler Infrastructure
4 //
5 // This file is distributed under the University of Illinois Open Source
6 // License. See LICENSE.TXT for details.
7 //
8 //===----------------------------------------------------------------------===//
9 
10 #include "llvm/ADT/APInt.h"
11 #include "llvm/ADT/ArrayRef.h"
12 #include "llvm/ADT/SmallString.h"
13 #include "gtest/gtest.h"
14 #include <array>
15 
16 using namespace llvm;
17 
18 namespace {
19 
20 TEST(APIntTest, ValueInit) {
21   APInt Zero = APInt();
22   EXPECT_TRUE(!Zero);
23   EXPECT_TRUE(!Zero.zext(64));
24   EXPECT_TRUE(!Zero.sext(64));
25 }
26 
27 // Test that APInt shift left works when bitwidth > 64 and shiftamt == 0
28 TEST(APIntTest, ShiftLeftByZero) {
29   APInt One = APInt::getNullValue(65) + 1;
30   APInt Shl = One.shl(0);
31   EXPECT_TRUE(Shl[0]);
32   EXPECT_FALSE(Shl[1]);
33 }
34 
35 TEST(APIntTest, i128_NegativeCount) {
36   APInt Minus3(128, static_cast<uint64_t>(-3), true);
37   EXPECT_EQ(126u, Minus3.countLeadingOnes());
38   EXPECT_EQ(-3, Minus3.getSExtValue());
39 
40   APInt Minus1(128, static_cast<uint64_t>(-1), true);
41   EXPECT_EQ(0u, Minus1.countLeadingZeros());
42   EXPECT_EQ(128u, Minus1.countLeadingOnes());
43   EXPECT_EQ(128u, Minus1.getActiveBits());
44   EXPECT_EQ(0u, Minus1.countTrailingZeros());
45   EXPECT_EQ(128u, Minus1.countTrailingOnes());
46   EXPECT_EQ(128u, Minus1.countPopulation());
47   EXPECT_EQ(-1, Minus1.getSExtValue());
48 }
49 
50 // XFAIL this test on FreeBSD where the system gcc-4.2.1 seems to miscompile it.
51 #if defined(__llvm__) || !defined(__FreeBSD__)
52 
53 TEST(APIntTest, i33_Count) {
54   APInt i33minus2(33, static_cast<uint64_t>(-2), true);
55   EXPECT_EQ(0u, i33minus2.countLeadingZeros());
56   EXPECT_EQ(32u, i33minus2.countLeadingOnes());
57   EXPECT_EQ(33u, i33minus2.getActiveBits());
58   EXPECT_EQ(1u, i33minus2.countTrailingZeros());
59   EXPECT_EQ(32u, i33minus2.countPopulation());
60   EXPECT_EQ(-2, i33minus2.getSExtValue());
61   EXPECT_EQ(((uint64_t)-2)&((1ull<<33) -1), i33minus2.getZExtValue());
62 }
63 
64 #endif
65 
66 TEST(APIntTest, i65_Count) {
67   APInt i65(65, 0, true);
68   EXPECT_EQ(65u, i65.countLeadingZeros());
69   EXPECT_EQ(0u, i65.countLeadingOnes());
70   EXPECT_EQ(0u, i65.getActiveBits());
71   EXPECT_EQ(1u, i65.getActiveWords());
72   EXPECT_EQ(65u, i65.countTrailingZeros());
73   EXPECT_EQ(0u, i65.countPopulation());
74 
75   APInt i65minus(65, 0, true);
76   i65minus.setBit(64);
77   EXPECT_EQ(0u, i65minus.countLeadingZeros());
78   EXPECT_EQ(1u, i65minus.countLeadingOnes());
79   EXPECT_EQ(65u, i65minus.getActiveBits());
80   EXPECT_EQ(64u, i65minus.countTrailingZeros());
81   EXPECT_EQ(1u, i65minus.countPopulation());
82 }
83 
84 TEST(APIntTest, i128_PositiveCount) {
85   APInt u128max = APInt::getAllOnesValue(128);
86   EXPECT_EQ(128u, u128max.countLeadingOnes());
87   EXPECT_EQ(0u, u128max.countLeadingZeros());
88   EXPECT_EQ(128u, u128max.getActiveBits());
89   EXPECT_EQ(0u, u128max.countTrailingZeros());
90   EXPECT_EQ(128u, u128max.countTrailingOnes());
91   EXPECT_EQ(128u, u128max.countPopulation());
92 
93   APInt u64max(128, static_cast<uint64_t>(-1), false);
94   EXPECT_EQ(64u, u64max.countLeadingZeros());
95   EXPECT_EQ(0u, u64max.countLeadingOnes());
96   EXPECT_EQ(64u, u64max.getActiveBits());
97   EXPECT_EQ(0u, u64max.countTrailingZeros());
98   EXPECT_EQ(64u, u64max.countTrailingOnes());
99   EXPECT_EQ(64u, u64max.countPopulation());
100   EXPECT_EQ((uint64_t)~0ull, u64max.getZExtValue());
101 
102   APInt zero(128, 0, true);
103   EXPECT_EQ(128u, zero.countLeadingZeros());
104   EXPECT_EQ(0u, zero.countLeadingOnes());
105   EXPECT_EQ(0u, zero.getActiveBits());
106   EXPECT_EQ(128u, zero.countTrailingZeros());
107   EXPECT_EQ(0u, zero.countTrailingOnes());
108   EXPECT_EQ(0u, zero.countPopulation());
109   EXPECT_EQ(0u, zero.getSExtValue());
110   EXPECT_EQ(0u, zero.getZExtValue());
111 
112   APInt one(128, 1, true);
113   EXPECT_EQ(127u, one.countLeadingZeros());
114   EXPECT_EQ(0u, one.countLeadingOnes());
115   EXPECT_EQ(1u, one.getActiveBits());
116   EXPECT_EQ(0u, one.countTrailingZeros());
117   EXPECT_EQ(1u, one.countTrailingOnes());
118   EXPECT_EQ(1u, one.countPopulation());
119   EXPECT_EQ(1, one.getSExtValue());
120   EXPECT_EQ(1u, one.getZExtValue());
121 }
122 
123 TEST(APIntTest, i1) {
124   const APInt neg_two(1, static_cast<uint64_t>(-2), true);
125   const APInt neg_one(1, static_cast<uint64_t>(-1), true);
126   const APInt zero(1, 0);
127   const APInt one(1, 1);
128   const APInt two(1, 2);
129 
130   EXPECT_EQ(0, neg_two.getSExtValue());
131   EXPECT_EQ(-1, neg_one.getSExtValue());
132   EXPECT_EQ(1u, neg_one.getZExtValue());
133   EXPECT_EQ(0u, zero.getZExtValue());
134   EXPECT_EQ(-1, one.getSExtValue());
135   EXPECT_EQ(1u, one.getZExtValue());
136   EXPECT_EQ(0u, two.getZExtValue());
137   EXPECT_EQ(0, two.getSExtValue());
138 
139   // Basic equalities for 1-bit values.
140   EXPECT_EQ(zero, two);
141   EXPECT_EQ(zero, neg_two);
142   EXPECT_EQ(one, neg_one);
143   EXPECT_EQ(two, neg_two);
144 
145   // Min/max signed values.
146   EXPECT_TRUE(zero.isMaxSignedValue());
147   EXPECT_FALSE(one.isMaxSignedValue());
148   EXPECT_FALSE(zero.isMinSignedValue());
149   EXPECT_TRUE(one.isMinSignedValue());
150 
151   // Additions.
152   EXPECT_EQ(two, one + one);
153   EXPECT_EQ(zero, neg_one + one);
154   EXPECT_EQ(neg_two, neg_one + neg_one);
155 
156   // Subtractions.
157   EXPECT_EQ(neg_two, neg_one - one);
158   EXPECT_EQ(two, one - neg_one);
159   EXPECT_EQ(zero, one - one);
160 
161   // Shifts.
162   EXPECT_EQ(zero, one << one);
163   EXPECT_EQ(one, one << zero);
164   EXPECT_EQ(zero, one.shl(1));
165   EXPECT_EQ(one, one.shl(0));
166   EXPECT_EQ(zero, one.lshr(1));
167   EXPECT_EQ(zero, one.ashr(1));
168 
169   // Rotates.
170   EXPECT_EQ(one, one.rotl(0));
171   EXPECT_EQ(one, one.rotl(1));
172   EXPECT_EQ(one, one.rotr(0));
173   EXPECT_EQ(one, one.rotr(1));
174 
175   // Multiplies.
176   EXPECT_EQ(neg_one, neg_one * one);
177   EXPECT_EQ(neg_one, one * neg_one);
178   EXPECT_EQ(one, neg_one * neg_one);
179   EXPECT_EQ(one, one * one);
180 
181   // Divides.
182   EXPECT_EQ(neg_one, one.sdiv(neg_one));
183   EXPECT_EQ(neg_one, neg_one.sdiv(one));
184   EXPECT_EQ(one, neg_one.sdiv(neg_one));
185   EXPECT_EQ(one, one.sdiv(one));
186 
187   EXPECT_EQ(neg_one, one.udiv(neg_one));
188   EXPECT_EQ(neg_one, neg_one.udiv(one));
189   EXPECT_EQ(one, neg_one.udiv(neg_one));
190   EXPECT_EQ(one, one.udiv(one));
191 
192   // Remainders.
193   EXPECT_EQ(zero, neg_one.srem(one));
194   EXPECT_EQ(zero, neg_one.urem(one));
195   EXPECT_EQ(zero, one.srem(neg_one));
196 
197   // sdivrem
198   {
199   APInt q(8, 0);
200   APInt r(8, 0);
201   APInt one(8, 1);
202   APInt two(8, 2);
203   APInt nine(8, 9);
204   APInt four(8, 4);
205 
206   EXPECT_EQ(nine.srem(two), one);
207   EXPECT_EQ(nine.srem(-two), one);
208   EXPECT_EQ((-nine).srem(two), -one);
209   EXPECT_EQ((-nine).srem(-two), -one);
210 
211   APInt::sdivrem(nine, two, q, r);
212   EXPECT_EQ(four, q);
213   EXPECT_EQ(one, r);
214   APInt::sdivrem(-nine, two, q, r);
215   EXPECT_EQ(-four, q);
216   EXPECT_EQ(-one, r);
217   APInt::sdivrem(nine, -two, q, r);
218   EXPECT_EQ(-four, q);
219   EXPECT_EQ(one, r);
220   APInt::sdivrem(-nine, -two, q, r);
221   EXPECT_EQ(four, q);
222   EXPECT_EQ(-one, r);
223   }
224 }
225 
226 TEST(APIntTest, compare) {
227   std::array<APInt, 5> testVals{{
228     APInt{16, 2},
229     APInt{16, 1},
230     APInt{16, 0},
231     APInt{16, (uint64_t)-1, true},
232     APInt{16, (uint64_t)-2, true},
233   }};
234 
235   for (auto &arg1 : testVals)
236     for (auto &arg2 : testVals) {
237       auto uv1 = arg1.getZExtValue();
238       auto uv2 = arg2.getZExtValue();
239       auto sv1 = arg1.getSExtValue();
240       auto sv2 = arg2.getSExtValue();
241 
242       EXPECT_EQ(uv1 <  uv2, arg1.ult(arg2));
243       EXPECT_EQ(uv1 <= uv2, arg1.ule(arg2));
244       EXPECT_EQ(uv1 >  uv2, arg1.ugt(arg2));
245       EXPECT_EQ(uv1 >= uv2, arg1.uge(arg2));
246 
247       EXPECT_EQ(sv1 <  sv2, arg1.slt(arg2));
248       EXPECT_EQ(sv1 <= sv2, arg1.sle(arg2));
249       EXPECT_EQ(sv1 >  sv2, arg1.sgt(arg2));
250       EXPECT_EQ(sv1 >= sv2, arg1.sge(arg2));
251 
252       EXPECT_EQ(uv1 <  uv2, arg1.ult(uv2));
253       EXPECT_EQ(uv1 <= uv2, arg1.ule(uv2));
254       EXPECT_EQ(uv1 >  uv2, arg1.ugt(uv2));
255       EXPECT_EQ(uv1 >= uv2, arg1.uge(uv2));
256 
257       EXPECT_EQ(sv1 <  sv2, arg1.slt(sv2));
258       EXPECT_EQ(sv1 <= sv2, arg1.sle(sv2));
259       EXPECT_EQ(sv1 >  sv2, arg1.sgt(sv2));
260       EXPECT_EQ(sv1 >= sv2, arg1.sge(sv2));
261     }
262 }
263 
264 TEST(APIntTest, compareWithRawIntegers) {
265   EXPECT_TRUE(!APInt(8, 1).uge(256));
266   EXPECT_TRUE(!APInt(8, 1).ugt(256));
267   EXPECT_TRUE( APInt(8, 1).ule(256));
268   EXPECT_TRUE( APInt(8, 1).ult(256));
269   EXPECT_TRUE(!APInt(8, 1).sge(256));
270   EXPECT_TRUE(!APInt(8, 1).sgt(256));
271   EXPECT_TRUE( APInt(8, 1).sle(256));
272   EXPECT_TRUE( APInt(8, 1).slt(256));
273   EXPECT_TRUE(!(APInt(8, 0) == 256));
274   EXPECT_TRUE(  APInt(8, 0) != 256);
275   EXPECT_TRUE(!(APInt(8, 1) == 256));
276   EXPECT_TRUE(  APInt(8, 1) != 256);
277 
278   auto uint64max = UINT64_MAX;
279   auto int64max  = INT64_MAX;
280   auto int64min  = INT64_MIN;
281 
282   auto u64 = APInt{128, uint64max};
283   auto s64 = APInt{128, static_cast<uint64_t>(int64max), true};
284   auto big = u64 + 1;
285 
286   EXPECT_TRUE( u64.uge(uint64max));
287   EXPECT_TRUE(!u64.ugt(uint64max));
288   EXPECT_TRUE( u64.ule(uint64max));
289   EXPECT_TRUE(!u64.ult(uint64max));
290   EXPECT_TRUE( u64.sge(int64max));
291   EXPECT_TRUE( u64.sgt(int64max));
292   EXPECT_TRUE(!u64.sle(int64max));
293   EXPECT_TRUE(!u64.slt(int64max));
294   EXPECT_TRUE( u64.sge(int64min));
295   EXPECT_TRUE( u64.sgt(int64min));
296   EXPECT_TRUE(!u64.sle(int64min));
297   EXPECT_TRUE(!u64.slt(int64min));
298 
299   EXPECT_TRUE(u64 == uint64max);
300   EXPECT_TRUE(u64 != int64max);
301   EXPECT_TRUE(u64 != int64min);
302 
303   EXPECT_TRUE(!s64.uge(uint64max));
304   EXPECT_TRUE(!s64.ugt(uint64max));
305   EXPECT_TRUE( s64.ule(uint64max));
306   EXPECT_TRUE( s64.ult(uint64max));
307   EXPECT_TRUE( s64.sge(int64max));
308   EXPECT_TRUE(!s64.sgt(int64max));
309   EXPECT_TRUE( s64.sle(int64max));
310   EXPECT_TRUE(!s64.slt(int64max));
311   EXPECT_TRUE( s64.sge(int64min));
312   EXPECT_TRUE( s64.sgt(int64min));
313   EXPECT_TRUE(!s64.sle(int64min));
314   EXPECT_TRUE(!s64.slt(int64min));
315 
316   EXPECT_TRUE(s64 != uint64max);
317   EXPECT_TRUE(s64 == int64max);
318   EXPECT_TRUE(s64 != int64min);
319 
320   EXPECT_TRUE( big.uge(uint64max));
321   EXPECT_TRUE( big.ugt(uint64max));
322   EXPECT_TRUE(!big.ule(uint64max));
323   EXPECT_TRUE(!big.ult(uint64max));
324   EXPECT_TRUE( big.sge(int64max));
325   EXPECT_TRUE( big.sgt(int64max));
326   EXPECT_TRUE(!big.sle(int64max));
327   EXPECT_TRUE(!big.slt(int64max));
328   EXPECT_TRUE( big.sge(int64min));
329   EXPECT_TRUE( big.sgt(int64min));
330   EXPECT_TRUE(!big.sle(int64min));
331   EXPECT_TRUE(!big.slt(int64min));
332 
333   EXPECT_TRUE(big != uint64max);
334   EXPECT_TRUE(big != int64max);
335   EXPECT_TRUE(big != int64min);
336 }
337 
338 TEST(APIntTest, compareWithInt64Min) {
339   int64_t edge = INT64_MIN;
340   int64_t edgeP1 = edge + 1;
341   int64_t edgeM1 = INT64_MAX;
342   auto a = APInt{64, static_cast<uint64_t>(edge), true};
343 
344   EXPECT_TRUE(!a.slt(edge));
345   EXPECT_TRUE( a.sle(edge));
346   EXPECT_TRUE(!a.sgt(edge));
347   EXPECT_TRUE( a.sge(edge));
348   EXPECT_TRUE( a.slt(edgeP1));
349   EXPECT_TRUE( a.sle(edgeP1));
350   EXPECT_TRUE(!a.sgt(edgeP1));
351   EXPECT_TRUE(!a.sge(edgeP1));
352   EXPECT_TRUE( a.slt(edgeM1));
353   EXPECT_TRUE( a.sle(edgeM1));
354   EXPECT_TRUE(!a.sgt(edgeM1));
355   EXPECT_TRUE(!a.sge(edgeM1));
356 }
357 
358 TEST(APIntTest, compareWithHalfInt64Max) {
359   uint64_t edge = 0x4000000000000000;
360   uint64_t edgeP1 = edge + 1;
361   uint64_t edgeM1 = edge - 1;
362   auto a = APInt{64, edge};
363 
364   EXPECT_TRUE(!a.ult(edge));
365   EXPECT_TRUE( a.ule(edge));
366   EXPECT_TRUE(!a.ugt(edge));
367   EXPECT_TRUE( a.uge(edge));
368   EXPECT_TRUE( a.ult(edgeP1));
369   EXPECT_TRUE( a.ule(edgeP1));
370   EXPECT_TRUE(!a.ugt(edgeP1));
371   EXPECT_TRUE(!a.uge(edgeP1));
372   EXPECT_TRUE(!a.ult(edgeM1));
373   EXPECT_TRUE(!a.ule(edgeM1));
374   EXPECT_TRUE( a.ugt(edgeM1));
375   EXPECT_TRUE( a.uge(edgeM1));
376 
377   EXPECT_TRUE(!a.slt(edge));
378   EXPECT_TRUE( a.sle(edge));
379   EXPECT_TRUE(!a.sgt(edge));
380   EXPECT_TRUE( a.sge(edge));
381   EXPECT_TRUE( a.slt(edgeP1));
382   EXPECT_TRUE( a.sle(edgeP1));
383   EXPECT_TRUE(!a.sgt(edgeP1));
384   EXPECT_TRUE(!a.sge(edgeP1));
385   EXPECT_TRUE(!a.slt(edgeM1));
386   EXPECT_TRUE(!a.sle(edgeM1));
387   EXPECT_TRUE( a.sgt(edgeM1));
388   EXPECT_TRUE( a.sge(edgeM1));
389 }
390 
391 TEST(APIntTest, compareLargeIntegers) {
392   // Make sure all the combinations of signed comparisons work with big ints.
393   auto One = APInt{128, static_cast<uint64_t>(1), true};
394   auto Two = APInt{128, static_cast<uint64_t>(2), true};
395   auto MinusOne = APInt{128, static_cast<uint64_t>(-1), true};
396   auto MinusTwo = APInt{128, static_cast<uint64_t>(-2), true};
397 
398   EXPECT_TRUE(!One.slt(One));
399   EXPECT_TRUE(!Two.slt(One));
400   EXPECT_TRUE(MinusOne.slt(One));
401   EXPECT_TRUE(MinusTwo.slt(One));
402 
403   EXPECT_TRUE(One.slt(Two));
404   EXPECT_TRUE(!Two.slt(Two));
405   EXPECT_TRUE(MinusOne.slt(Two));
406   EXPECT_TRUE(MinusTwo.slt(Two));
407 
408   EXPECT_TRUE(!One.slt(MinusOne));
409   EXPECT_TRUE(!Two.slt(MinusOne));
410   EXPECT_TRUE(!MinusOne.slt(MinusOne));
411   EXPECT_TRUE(MinusTwo.slt(MinusOne));
412 
413   EXPECT_TRUE(!One.slt(MinusTwo));
414   EXPECT_TRUE(!Two.slt(MinusTwo));
415   EXPECT_TRUE(!MinusOne.slt(MinusTwo));
416   EXPECT_TRUE(!MinusTwo.slt(MinusTwo));
417 }
418 
419 TEST(APIntTest, rvalue_arithmetic) {
420   // Test all combinations of lvalue/rvalue lhs/rhs of add/sub
421 
422   // Lamdba to return an APInt by value, but also provide the raw value of the
423   // allocated data.
424   auto getRValue = [](const char *HexString, uint64_t const *&RawData) {
425     APInt V(129, HexString, 16);
426     RawData = V.getRawData();
427     return V;
428   };
429 
430   APInt One(129, "1", 16);
431   APInt Two(129, "2", 16);
432   APInt Three(129, "3", 16);
433   APInt MinusOne = -One;
434 
435   const uint64_t *RawDataL = nullptr;
436   const uint64_t *RawDataR = nullptr;
437 
438   {
439     // 1 + 1 = 2
440     APInt AddLL = One + One;
441     EXPECT_EQ(AddLL, Two);
442 
443     APInt AddLR = One + getRValue("1", RawDataR);
444     EXPECT_EQ(AddLR, Two);
445     EXPECT_EQ(AddLR.getRawData(), RawDataR);
446 
447     APInt AddRL = getRValue("1", RawDataL) + One;
448     EXPECT_EQ(AddRL, Two);
449     EXPECT_EQ(AddRL.getRawData(), RawDataL);
450 
451     APInt AddRR = getRValue("1", RawDataL) + getRValue("1", RawDataR);
452     EXPECT_EQ(AddRR, Two);
453     EXPECT_EQ(AddRR.getRawData(), RawDataR);
454 
455     // LValue's and constants
456     APInt AddLK = One + 1;
457     EXPECT_EQ(AddLK, Two);
458 
459     APInt AddKL = 1 + One;
460     EXPECT_EQ(AddKL, Two);
461 
462     // RValue's and constants
463     APInt AddRK = getRValue("1", RawDataL) + 1;
464     EXPECT_EQ(AddRK, Two);
465     EXPECT_EQ(AddRK.getRawData(), RawDataL);
466 
467     APInt AddKR = 1 + getRValue("1", RawDataR);
468     EXPECT_EQ(AddKR, Two);
469     EXPECT_EQ(AddKR.getRawData(), RawDataR);
470   }
471 
472   {
473     // 0x0,FFFF...FFFF + 0x2 = 0x100...0001
474     APInt AllOnes(129, "0FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF", 16);
475     APInt HighOneLowOne(129, "100000000000000000000000000000001", 16);
476 
477     APInt AddLL = AllOnes + Two;
478     EXPECT_EQ(AddLL, HighOneLowOne);
479 
480     APInt AddLR = AllOnes + getRValue("2", RawDataR);
481     EXPECT_EQ(AddLR, HighOneLowOne);
482     EXPECT_EQ(AddLR.getRawData(), RawDataR);
483 
484     APInt AddRL = getRValue("FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF", RawDataL) + Two;
485     EXPECT_EQ(AddRL, HighOneLowOne);
486     EXPECT_EQ(AddRL.getRawData(), RawDataL);
487 
488     APInt AddRR = getRValue("FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF", RawDataL) +
489                   getRValue("2", RawDataR);
490     EXPECT_EQ(AddRR, HighOneLowOne);
491     EXPECT_EQ(AddRR.getRawData(), RawDataR);
492 
493     // LValue's and constants
494     APInt AddLK = AllOnes + 2;
495     EXPECT_EQ(AddLK, HighOneLowOne);
496 
497     APInt AddKL = 2 + AllOnes;
498     EXPECT_EQ(AddKL, HighOneLowOne);
499 
500     // RValue's and constants
501     APInt AddRK = getRValue("FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF", RawDataL) + 2;
502     EXPECT_EQ(AddRK, HighOneLowOne);
503     EXPECT_EQ(AddRK.getRawData(), RawDataL);
504 
505     APInt AddKR = 2 + getRValue("FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF", RawDataR);
506     EXPECT_EQ(AddKR, HighOneLowOne);
507     EXPECT_EQ(AddKR.getRawData(), RawDataR);
508   }
509 
510   {
511     // 2 - 1 = 1
512     APInt SubLL = Two - One;
513     EXPECT_EQ(SubLL, One);
514 
515     APInt SubLR = Two - getRValue("1", RawDataR);
516     EXPECT_EQ(SubLR, One);
517     EXPECT_EQ(SubLR.getRawData(), RawDataR);
518 
519     APInt SubRL = getRValue("2", RawDataL) - One;
520     EXPECT_EQ(SubRL, One);
521     EXPECT_EQ(SubRL.getRawData(), RawDataL);
522 
523     APInt SubRR = getRValue("2", RawDataL) - getRValue("1", RawDataR);
524     EXPECT_EQ(SubRR, One);
525     EXPECT_EQ(SubRR.getRawData(), RawDataR);
526 
527     // LValue's and constants
528     APInt SubLK = Two - 1;
529     EXPECT_EQ(SubLK, One);
530 
531     APInt SubKL = 2 - One;
532     EXPECT_EQ(SubKL, One);
533 
534     // RValue's and constants
535     APInt SubRK = getRValue("2", RawDataL) - 1;
536     EXPECT_EQ(SubRK, One);
537     EXPECT_EQ(SubRK.getRawData(), RawDataL);
538 
539     APInt SubKR = 2 - getRValue("1", RawDataR);
540     EXPECT_EQ(SubKR, One);
541     EXPECT_EQ(SubKR.getRawData(), RawDataR);
542   }
543 
544   {
545     // 0x100...0001 - 0x0,FFFF...FFFF = 0x2
546     APInt AllOnes(129, "0FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF", 16);
547     APInt HighOneLowOne(129, "100000000000000000000000000000001", 16);
548 
549     APInt SubLL = HighOneLowOne - AllOnes;
550     EXPECT_EQ(SubLL, Two);
551 
552     APInt SubLR = HighOneLowOne -
553                   getRValue("0FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF", RawDataR);
554     EXPECT_EQ(SubLR, Two);
555     EXPECT_EQ(SubLR.getRawData(), RawDataR);
556 
557     APInt SubRL = getRValue("100000000000000000000000000000001", RawDataL) -
558                   AllOnes;
559     EXPECT_EQ(SubRL, Two);
560     EXPECT_EQ(SubRL.getRawData(), RawDataL);
561 
562     APInt SubRR = getRValue("100000000000000000000000000000001", RawDataL) -
563                   getRValue("0FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF", RawDataR);
564     EXPECT_EQ(SubRR, Two);
565     EXPECT_EQ(SubRR.getRawData(), RawDataR);
566 
567     // LValue's and constants
568     // 0x100...0001 - 0x2 = 0x0,FFFF...FFFF
569     APInt SubLK = HighOneLowOne - 2;
570     EXPECT_EQ(SubLK, AllOnes);
571 
572     // 2 - (-1) = 3
573     APInt SubKL = 2 - MinusOne;
574     EXPECT_EQ(SubKL, Three);
575 
576     // RValue's and constants
577     // 0x100...0001 - 0x2 = 0x0,FFFF...FFFF
578     APInt SubRK = getRValue("100000000000000000000000000000001", RawDataL) - 2;
579     EXPECT_EQ(SubRK, AllOnes);
580     EXPECT_EQ(SubRK.getRawData(), RawDataL);
581 
582     APInt SubKR = 2 - getRValue("1FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF", RawDataR);
583     EXPECT_EQ(SubKR, Three);
584     EXPECT_EQ(SubKR.getRawData(), RawDataR);
585   }
586 }
587 
588 
589 // Tests different div/rem varaints using scheme (a * b + c) / a
590 void testDiv(APInt a, APInt b, APInt c) {
591   ASSERT_TRUE(a.uge(b)); // Must: a >= b
592   ASSERT_TRUE(a.ugt(c)); // Must: a > c
593 
594   auto p = a * b + c;
595 
596   auto q = p.udiv(a);
597   auto r = p.urem(a);
598   EXPECT_EQ(b, q);
599   EXPECT_EQ(c, r);
600   APInt::udivrem(p, a, q, r);
601   EXPECT_EQ(b, q);
602   EXPECT_EQ(c, r);
603   q = p.sdiv(a);
604   r = p.srem(a);
605   EXPECT_EQ(b, q);
606   EXPECT_EQ(c, r);
607   APInt::sdivrem(p, a, q, r);
608   EXPECT_EQ(b, q);
609   EXPECT_EQ(c, r);
610 
611   if (b.ugt(c)) { // Test also symmetric case
612     q = p.udiv(b);
613     r = p.urem(b);
614     EXPECT_EQ(a, q);
615     EXPECT_EQ(c, r);
616     APInt::udivrem(p, b, q, r);
617     EXPECT_EQ(a, q);
618     EXPECT_EQ(c, r);
619     q = p.sdiv(b);
620     r = p.srem(b);
621     EXPECT_EQ(a, q);
622     EXPECT_EQ(c, r);
623     APInt::sdivrem(p, b, q, r);
624     EXPECT_EQ(a, q);
625     EXPECT_EQ(c, r);
626   }
627 }
628 
629 TEST(APIntTest, divrem_big1) {
630   // Tests KnuthDiv rare step D6
631   testDiv({256, "1ffffffffffffffff", 16},
632           {256, "1ffffffffffffffff", 16},
633           {256, 0});
634 }
635 
636 TEST(APIntTest, divrem_big2) {
637   // Tests KnuthDiv rare step D6
638   testDiv({1024,                       "112233ceff"
639                  "cecece000000ffffffffffffffffffff"
640                  "ffffffffffffffffffffffffffffffff"
641                  "ffffffffffffffffffffffffffffffff"
642                  "ffffffffffffffffffffffffffffff33", 16},
643           {1024,           "111111ffffffffffffffff"
644                  "ffffffffffffffffffffffffffffffff"
645                  "fffffffffffffffffffffffffffffccf"
646                  "ffffffffffffffffffffffffffffff00", 16},
647           {1024, 7919});
648 }
649 
650 TEST(APIntTest, divrem_big3) {
651   // Tests KnuthDiv case without shift
652   testDiv({256, "80000001ffffffffffffffff", 16},
653           {256, "ffffffffffffff0000000", 16},
654           {256, 4219});
655 }
656 
657 TEST(APIntTest, divrem_big4) {
658   // Tests heap allocation in divide() enfoced by huge numbers
659   testDiv(APInt{4096, 5}.shl(2001),
660           APInt{4096, 1}.shl(2000),
661           APInt{4096, 4219*13});
662 }
663 
664 TEST(APIntTest, divrem_big5) {
665   // Tests one word divisor case of divide()
666   testDiv(APInt{1024, 19}.shl(811),
667           APInt{1024, 4356013}, // one word
668           APInt{1024, 1});
669 }
670 
671 TEST(APIntTest, divrem_big6) {
672   // Tests some rare "borrow" cases in D4 step
673   testDiv(APInt{512, "ffffffffffffffff00000000000000000000000001", 16},
674           APInt{512, "10000000000000001000000000000001", 16},
675           APInt{512, "10000000000000000000000000000000", 16});
676 }
677 
678 TEST(APIntTest, divrem_big7) {
679   // Yet another test for KnuthDiv rare step D6.
680   testDiv({224, "800000008000000200000005", 16},
681           {224, "fffffffd", 16},
682           {224, "80000000800000010000000f", 16});
683 }
684 
685 TEST(APIntTest, fromString) {
686   EXPECT_EQ(APInt(32, 0), APInt(32,   "0", 2));
687   EXPECT_EQ(APInt(32, 1), APInt(32,   "1", 2));
688   EXPECT_EQ(APInt(32, 2), APInt(32,  "10", 2));
689   EXPECT_EQ(APInt(32, 3), APInt(32,  "11", 2));
690   EXPECT_EQ(APInt(32, 4), APInt(32, "100", 2));
691 
692   EXPECT_EQ(APInt(32, 0), APInt(32,   "+0", 2));
693   EXPECT_EQ(APInt(32, 1), APInt(32,   "+1", 2));
694   EXPECT_EQ(APInt(32, 2), APInt(32,  "+10", 2));
695   EXPECT_EQ(APInt(32, 3), APInt(32,  "+11", 2));
696   EXPECT_EQ(APInt(32, 4), APInt(32, "+100", 2));
697 
698   EXPECT_EQ(APInt(32, uint64_t(-0LL)), APInt(32,   "-0", 2));
699   EXPECT_EQ(APInt(32, uint64_t(-1LL)), APInt(32,   "-1", 2));
700   EXPECT_EQ(APInt(32, uint64_t(-2LL)), APInt(32,  "-10", 2));
701   EXPECT_EQ(APInt(32, uint64_t(-3LL)), APInt(32,  "-11", 2));
702   EXPECT_EQ(APInt(32, uint64_t(-4LL)), APInt(32, "-100", 2));
703 
704 
705   EXPECT_EQ(APInt(32,  0), APInt(32,  "0",  8));
706   EXPECT_EQ(APInt(32,  1), APInt(32,  "1",  8));
707   EXPECT_EQ(APInt(32,  7), APInt(32,  "7",  8));
708   EXPECT_EQ(APInt(32,  8), APInt(32,  "10", 8));
709   EXPECT_EQ(APInt(32, 15), APInt(32,  "17", 8));
710   EXPECT_EQ(APInt(32, 16), APInt(32,  "20", 8));
711 
712   EXPECT_EQ(APInt(32,  +0), APInt(32,  "+0",  8));
713   EXPECT_EQ(APInt(32,  +1), APInt(32,  "+1",  8));
714   EXPECT_EQ(APInt(32,  +7), APInt(32,  "+7",  8));
715   EXPECT_EQ(APInt(32,  +8), APInt(32,  "+10", 8));
716   EXPECT_EQ(APInt(32, +15), APInt(32,  "+17", 8));
717   EXPECT_EQ(APInt(32, +16), APInt(32,  "+20", 8));
718 
719   EXPECT_EQ(APInt(32,  uint64_t(-0LL)), APInt(32,  "-0",  8));
720   EXPECT_EQ(APInt(32,  uint64_t(-1LL)), APInt(32,  "-1",  8));
721   EXPECT_EQ(APInt(32,  uint64_t(-7LL)), APInt(32,  "-7",  8));
722   EXPECT_EQ(APInt(32,  uint64_t(-8LL)), APInt(32,  "-10", 8));
723   EXPECT_EQ(APInt(32, uint64_t(-15LL)), APInt(32,  "-17", 8));
724   EXPECT_EQ(APInt(32, uint64_t(-16LL)), APInt(32,  "-20", 8));
725 
726 
727   EXPECT_EQ(APInt(32,  0), APInt(32,  "0", 10));
728   EXPECT_EQ(APInt(32,  1), APInt(32,  "1", 10));
729   EXPECT_EQ(APInt(32,  9), APInt(32,  "9", 10));
730   EXPECT_EQ(APInt(32, 10), APInt(32, "10", 10));
731   EXPECT_EQ(APInt(32, 19), APInt(32, "19", 10));
732   EXPECT_EQ(APInt(32, 20), APInt(32, "20", 10));
733 
734   EXPECT_EQ(APInt(32,  uint64_t(-0LL)), APInt(32,  "-0", 10));
735   EXPECT_EQ(APInt(32,  uint64_t(-1LL)), APInt(32,  "-1", 10));
736   EXPECT_EQ(APInt(32,  uint64_t(-9LL)), APInt(32,  "-9", 10));
737   EXPECT_EQ(APInt(32, uint64_t(-10LL)), APInt(32, "-10", 10));
738   EXPECT_EQ(APInt(32, uint64_t(-19LL)), APInt(32, "-19", 10));
739   EXPECT_EQ(APInt(32, uint64_t(-20LL)), APInt(32, "-20", 10));
740 
741 
742   EXPECT_EQ(APInt(32,  0), APInt(32,  "0", 16));
743   EXPECT_EQ(APInt(32,  1), APInt(32,  "1", 16));
744   EXPECT_EQ(APInt(32, 15), APInt(32,  "F", 16));
745   EXPECT_EQ(APInt(32, 16), APInt(32, "10", 16));
746   EXPECT_EQ(APInt(32, 31), APInt(32, "1F", 16));
747   EXPECT_EQ(APInt(32, 32), APInt(32, "20", 16));
748 
749   EXPECT_EQ(APInt(32,  uint64_t(-0LL)), APInt(32,  "-0", 16));
750   EXPECT_EQ(APInt(32,  uint64_t(-1LL)), APInt(32,  "-1", 16));
751   EXPECT_EQ(APInt(32, uint64_t(-15LL)), APInt(32,  "-F", 16));
752   EXPECT_EQ(APInt(32, uint64_t(-16LL)), APInt(32, "-10", 16));
753   EXPECT_EQ(APInt(32, uint64_t(-31LL)), APInt(32, "-1F", 16));
754   EXPECT_EQ(APInt(32, uint64_t(-32LL)), APInt(32, "-20", 16));
755 
756   EXPECT_EQ(APInt(32,  0), APInt(32,  "0", 36));
757   EXPECT_EQ(APInt(32,  1), APInt(32,  "1", 36));
758   EXPECT_EQ(APInt(32, 35), APInt(32,  "Z", 36));
759   EXPECT_EQ(APInt(32, 36), APInt(32, "10", 36));
760   EXPECT_EQ(APInt(32, 71), APInt(32, "1Z", 36));
761   EXPECT_EQ(APInt(32, 72), APInt(32, "20", 36));
762 
763   EXPECT_EQ(APInt(32,  uint64_t(-0LL)), APInt(32,  "-0", 36));
764   EXPECT_EQ(APInt(32,  uint64_t(-1LL)), APInt(32,  "-1", 36));
765   EXPECT_EQ(APInt(32, uint64_t(-35LL)), APInt(32,  "-Z", 36));
766   EXPECT_EQ(APInt(32, uint64_t(-36LL)), APInt(32, "-10", 36));
767   EXPECT_EQ(APInt(32, uint64_t(-71LL)), APInt(32, "-1Z", 36));
768   EXPECT_EQ(APInt(32, uint64_t(-72LL)), APInt(32, "-20", 36));
769 }
770 
771 TEST(APIntTest, FromArray) {
772   EXPECT_EQ(APInt(32, uint64_t(1)), APInt(32, ArrayRef<uint64_t>(1)));
773 }
774 
775 TEST(APIntTest, StringBitsNeeded2) {
776   EXPECT_EQ(1U, APInt::getBitsNeeded(  "0", 2));
777   EXPECT_EQ(1U, APInt::getBitsNeeded(  "1", 2));
778   EXPECT_EQ(2U, APInt::getBitsNeeded( "10", 2));
779   EXPECT_EQ(2U, APInt::getBitsNeeded( "11", 2));
780   EXPECT_EQ(3U, APInt::getBitsNeeded("100", 2));
781 
782   EXPECT_EQ(1U, APInt::getBitsNeeded(  "+0", 2));
783   EXPECT_EQ(1U, APInt::getBitsNeeded(  "+1", 2));
784   EXPECT_EQ(2U, APInt::getBitsNeeded( "+10", 2));
785   EXPECT_EQ(2U, APInt::getBitsNeeded( "+11", 2));
786   EXPECT_EQ(3U, APInt::getBitsNeeded("+100", 2));
787 
788   EXPECT_EQ(2U, APInt::getBitsNeeded(  "-0", 2));
789   EXPECT_EQ(2U, APInt::getBitsNeeded(  "-1", 2));
790   EXPECT_EQ(3U, APInt::getBitsNeeded( "-10", 2));
791   EXPECT_EQ(3U, APInt::getBitsNeeded( "-11", 2));
792   EXPECT_EQ(4U, APInt::getBitsNeeded("-100", 2));
793 }
794 
795 TEST(APIntTest, StringBitsNeeded8) {
796   EXPECT_EQ(3U, APInt::getBitsNeeded( "0", 8));
797   EXPECT_EQ(3U, APInt::getBitsNeeded( "7", 8));
798   EXPECT_EQ(6U, APInt::getBitsNeeded("10", 8));
799   EXPECT_EQ(6U, APInt::getBitsNeeded("17", 8));
800   EXPECT_EQ(6U, APInt::getBitsNeeded("20", 8));
801 
802   EXPECT_EQ(3U, APInt::getBitsNeeded( "+0", 8));
803   EXPECT_EQ(3U, APInt::getBitsNeeded( "+7", 8));
804   EXPECT_EQ(6U, APInt::getBitsNeeded("+10", 8));
805   EXPECT_EQ(6U, APInt::getBitsNeeded("+17", 8));
806   EXPECT_EQ(6U, APInt::getBitsNeeded("+20", 8));
807 
808   EXPECT_EQ(4U, APInt::getBitsNeeded( "-0", 8));
809   EXPECT_EQ(4U, APInt::getBitsNeeded( "-7", 8));
810   EXPECT_EQ(7U, APInt::getBitsNeeded("-10", 8));
811   EXPECT_EQ(7U, APInt::getBitsNeeded("-17", 8));
812   EXPECT_EQ(7U, APInt::getBitsNeeded("-20", 8));
813 }
814 
815 TEST(APIntTest, StringBitsNeeded10) {
816   EXPECT_EQ(1U, APInt::getBitsNeeded( "0", 10));
817   EXPECT_EQ(2U, APInt::getBitsNeeded( "3", 10));
818   EXPECT_EQ(4U, APInt::getBitsNeeded( "9", 10));
819   EXPECT_EQ(4U, APInt::getBitsNeeded("10", 10));
820   EXPECT_EQ(5U, APInt::getBitsNeeded("19", 10));
821   EXPECT_EQ(5U, APInt::getBitsNeeded("20", 10));
822 
823   EXPECT_EQ(1U, APInt::getBitsNeeded( "+0", 10));
824   EXPECT_EQ(4U, APInt::getBitsNeeded( "+9", 10));
825   EXPECT_EQ(4U, APInt::getBitsNeeded("+10", 10));
826   EXPECT_EQ(5U, APInt::getBitsNeeded("+19", 10));
827   EXPECT_EQ(5U, APInt::getBitsNeeded("+20", 10));
828 
829   EXPECT_EQ(2U, APInt::getBitsNeeded( "-0", 10));
830   EXPECT_EQ(5U, APInt::getBitsNeeded( "-9", 10));
831   EXPECT_EQ(5U, APInt::getBitsNeeded("-10", 10));
832   EXPECT_EQ(6U, APInt::getBitsNeeded("-19", 10));
833   EXPECT_EQ(6U, APInt::getBitsNeeded("-20", 10));
834 }
835 
836 TEST(APIntTest, StringBitsNeeded16) {
837   EXPECT_EQ(4U, APInt::getBitsNeeded( "0", 16));
838   EXPECT_EQ(4U, APInt::getBitsNeeded( "F", 16));
839   EXPECT_EQ(8U, APInt::getBitsNeeded("10", 16));
840   EXPECT_EQ(8U, APInt::getBitsNeeded("1F", 16));
841   EXPECT_EQ(8U, APInt::getBitsNeeded("20", 16));
842 
843   EXPECT_EQ(4U, APInt::getBitsNeeded( "+0", 16));
844   EXPECT_EQ(4U, APInt::getBitsNeeded( "+F", 16));
845   EXPECT_EQ(8U, APInt::getBitsNeeded("+10", 16));
846   EXPECT_EQ(8U, APInt::getBitsNeeded("+1F", 16));
847   EXPECT_EQ(8U, APInt::getBitsNeeded("+20", 16));
848 
849   EXPECT_EQ(5U, APInt::getBitsNeeded( "-0", 16));
850   EXPECT_EQ(5U, APInt::getBitsNeeded( "-F", 16));
851   EXPECT_EQ(9U, APInt::getBitsNeeded("-10", 16));
852   EXPECT_EQ(9U, APInt::getBitsNeeded("-1F", 16));
853   EXPECT_EQ(9U, APInt::getBitsNeeded("-20", 16));
854 }
855 
856 TEST(APIntTest, toString) {
857   SmallString<16> S;
858   bool isSigned;
859 
860   APInt(8, 0).toString(S, 2, true, true);
861   EXPECT_EQ(S.str().str(), "0b0");
862   S.clear();
863   APInt(8, 0).toString(S, 8, true, true);
864   EXPECT_EQ(S.str().str(), "00");
865   S.clear();
866   APInt(8, 0).toString(S, 10, true, true);
867   EXPECT_EQ(S.str().str(), "0");
868   S.clear();
869   APInt(8, 0).toString(S, 16, true, true);
870   EXPECT_EQ(S.str().str(), "0x0");
871   S.clear();
872   APInt(8, 0).toString(S, 36, true, false);
873   EXPECT_EQ(S.str().str(), "0");
874   S.clear();
875 
876   isSigned = false;
877   APInt(8, 255, isSigned).toString(S, 2, isSigned, true);
878   EXPECT_EQ(S.str().str(), "0b11111111");
879   S.clear();
880   APInt(8, 255, isSigned).toString(S, 8, isSigned, true);
881   EXPECT_EQ(S.str().str(), "0377");
882   S.clear();
883   APInt(8, 255, isSigned).toString(S, 10, isSigned, true);
884   EXPECT_EQ(S.str().str(), "255");
885   S.clear();
886   APInt(8, 255, isSigned).toString(S, 16, isSigned, true);
887   EXPECT_EQ(S.str().str(), "0xFF");
888   S.clear();
889   APInt(8, 255, isSigned).toString(S, 36, isSigned, false);
890   EXPECT_EQ(S.str().str(), "73");
891   S.clear();
892 
893   isSigned = true;
894   APInt(8, 255, isSigned).toString(S, 2, isSigned, true);
895   EXPECT_EQ(S.str().str(), "-0b1");
896   S.clear();
897   APInt(8, 255, isSigned).toString(S, 8, isSigned, true);
898   EXPECT_EQ(S.str().str(), "-01");
899   S.clear();
900   APInt(8, 255, isSigned).toString(S, 10, isSigned, true);
901   EXPECT_EQ(S.str().str(), "-1");
902   S.clear();
903   APInt(8, 255, isSigned).toString(S, 16, isSigned, true);
904   EXPECT_EQ(S.str().str(), "-0x1");
905   S.clear();
906   APInt(8, 255, isSigned).toString(S, 36, isSigned, false);
907   EXPECT_EQ(S.str().str(), "-1");
908   S.clear();
909 }
910 
911 TEST(APIntTest, Log2) {
912   EXPECT_EQ(APInt(15, 7).logBase2(), 2U);
913   EXPECT_EQ(APInt(15, 7).ceilLogBase2(), 3U);
914   EXPECT_EQ(APInt(15, 7).exactLogBase2(), -1);
915   EXPECT_EQ(APInt(15, 8).logBase2(), 3U);
916   EXPECT_EQ(APInt(15, 8).ceilLogBase2(), 3U);
917   EXPECT_EQ(APInt(15, 8).exactLogBase2(), 3);
918   EXPECT_EQ(APInt(15, 9).logBase2(), 3U);
919   EXPECT_EQ(APInt(15, 9).ceilLogBase2(), 4U);
920   EXPECT_EQ(APInt(15, 9).exactLogBase2(), -1);
921 }
922 
923 TEST(APIntTest, magic) {
924   EXPECT_EQ(APInt(32, 3).magic().m, APInt(32, "55555556", 16));
925   EXPECT_EQ(APInt(32, 3).magic().s, 0U);
926   EXPECT_EQ(APInt(32, 5).magic().m, APInt(32, "66666667", 16));
927   EXPECT_EQ(APInt(32, 5).magic().s, 1U);
928   EXPECT_EQ(APInt(32, 7).magic().m, APInt(32, "92492493", 16));
929   EXPECT_EQ(APInt(32, 7).magic().s, 2U);
930 }
931 
932 TEST(APIntTest, magicu) {
933   EXPECT_EQ(APInt(32, 3).magicu().m, APInt(32, "AAAAAAAB", 16));
934   EXPECT_EQ(APInt(32, 3).magicu().s, 1U);
935   EXPECT_EQ(APInt(32, 5).magicu().m, APInt(32, "CCCCCCCD", 16));
936   EXPECT_EQ(APInt(32, 5).magicu().s, 2U);
937   EXPECT_EQ(APInt(32, 7).magicu().m, APInt(32, "24924925", 16));
938   EXPECT_EQ(APInt(32, 7).magicu().s, 3U);
939   EXPECT_EQ(APInt(64, 25).magicu(1).m, APInt(64, "A3D70A3D70A3D70B", 16));
940   EXPECT_EQ(APInt(64, 25).magicu(1).s, 4U);
941 }
942 
943 #ifdef GTEST_HAS_DEATH_TEST
944 #ifndef NDEBUG
945 TEST(APIntTest, StringDeath) {
946   EXPECT_DEATH(APInt(0, "", 0), "Bitwidth too small");
947   EXPECT_DEATH(APInt(32, "", 0), "Invalid string length");
948   EXPECT_DEATH(APInt(32, "0", 0), "Radix should be 2, 8, 10, 16, or 36!");
949   EXPECT_DEATH(APInt(32, "", 10), "Invalid string length");
950   EXPECT_DEATH(APInt(32, "-", 10), "String is only a sign, needs a value.");
951   EXPECT_DEATH(APInt(1, "1234", 10), "Insufficient bit width");
952   EXPECT_DEATH(APInt(32, "\0", 10), "Invalid string length");
953   EXPECT_DEATH(APInt(32, StringRef("1\02", 3), 10), "Invalid character in digit string");
954   EXPECT_DEATH(APInt(32, "1L", 10), "Invalid character in digit string");
955 }
956 #endif
957 #endif
958 
959 TEST(APIntTest, mul_clear) {
960   APInt ValA(65, -1ULL);
961   APInt ValB(65, 4);
962   APInt ValC(65, 0);
963   ValC = ValA * ValB;
964   ValA *= ValB;
965   EXPECT_EQ(ValA.toString(10, false), ValC.toString(10, false));
966 }
967 
968 TEST(APIntTest, Rotate) {
969   EXPECT_EQ(APInt(8, 1),  APInt(8, 1).rotl(0));
970   EXPECT_EQ(APInt(8, 2),  APInt(8, 1).rotl(1));
971   EXPECT_EQ(APInt(8, 4),  APInt(8, 1).rotl(2));
972   EXPECT_EQ(APInt(8, 16), APInt(8, 1).rotl(4));
973   EXPECT_EQ(APInt(8, 1),  APInt(8, 1).rotl(8));
974 
975   EXPECT_EQ(APInt(8, 16), APInt(8, 16).rotl(0));
976   EXPECT_EQ(APInt(8, 32), APInt(8, 16).rotl(1));
977   EXPECT_EQ(APInt(8, 64), APInt(8, 16).rotl(2));
978   EXPECT_EQ(APInt(8, 1),  APInt(8, 16).rotl(4));
979   EXPECT_EQ(APInt(8, 16), APInt(8, 16).rotl(8));
980 
981   EXPECT_EQ(APInt(8, 16), APInt(8, 16).rotr(0));
982   EXPECT_EQ(APInt(8, 8),  APInt(8, 16).rotr(1));
983   EXPECT_EQ(APInt(8, 4),  APInt(8, 16).rotr(2));
984   EXPECT_EQ(APInt(8, 1),  APInt(8, 16).rotr(4));
985   EXPECT_EQ(APInt(8, 16), APInt(8, 16).rotr(8));
986 
987   EXPECT_EQ(APInt(8, 1),   APInt(8, 1).rotr(0));
988   EXPECT_EQ(APInt(8, 128), APInt(8, 1).rotr(1));
989   EXPECT_EQ(APInt(8, 64),  APInt(8, 1).rotr(2));
990   EXPECT_EQ(APInt(8, 16),  APInt(8, 1).rotr(4));
991   EXPECT_EQ(APInt(8, 1),   APInt(8, 1).rotr(8));
992 
993   APInt Big(256, "00004000800000000000000000003fff8000000000000000", 16);
994   APInt Rot(256, "3fff80000000000000000000000000000000000040008000", 16);
995   EXPECT_EQ(Rot, Big.rotr(144));
996 }
997 
998 TEST(APIntTest, Splat) {
999   APInt ValA(8, 0x01);
1000   EXPECT_EQ(ValA, APInt::getSplat(8, ValA));
1001   EXPECT_EQ(APInt(64, 0x0101010101010101ULL), APInt::getSplat(64, ValA));
1002 
1003   APInt ValB(3, 5);
1004   EXPECT_EQ(APInt(4, 0xD), APInt::getSplat(4, ValB));
1005   EXPECT_EQ(APInt(15, 0xDB6D), APInt::getSplat(15, ValB));
1006 }
1007 
1008 TEST(APIntTest, tcDecrement) {
1009   // Test single word decrement.
1010 
1011   // No out borrow.
1012   {
1013     integerPart singleWord = ~integerPart(0) << (integerPartWidth - 1);
1014     integerPart carry = APInt::tcDecrement(&singleWord, 1);
1015     EXPECT_EQ(carry, integerPart(0));
1016     EXPECT_EQ(singleWord, ~integerPart(0) >> 1);
1017   }
1018 
1019   // With out borrow.
1020   {
1021     integerPart singleWord = 0;
1022     integerPart carry = APInt::tcDecrement(&singleWord, 1);
1023     EXPECT_EQ(carry, integerPart(1));
1024     EXPECT_EQ(singleWord, ~integerPart(0));
1025   }
1026 
1027   // Test multiword decrement.
1028 
1029   // No across word borrow, no out borrow.
1030   {
1031     integerPart test[4] = {0x1, 0x1, 0x1, 0x1};
1032     integerPart expected[4] = {0x0, 0x1, 0x1, 0x1};
1033     APInt::tcDecrement(test, 4);
1034     EXPECT_EQ(APInt::tcCompare(test, expected, 4), 0);
1035   }
1036 
1037   // 1 across word borrow, no out borrow.
1038   {
1039     integerPart test[4] = {0x0, 0xF, 0x1, 0x1};
1040     integerPart expected[4] = {~integerPart(0), 0xE, 0x1, 0x1};
1041     integerPart carry = APInt::tcDecrement(test, 4);
1042     EXPECT_EQ(carry, integerPart(0));
1043     EXPECT_EQ(APInt::tcCompare(test, expected, 4), 0);
1044   }
1045 
1046   // 2 across word borrow, no out borrow.
1047   {
1048     integerPart test[4] = {0x0, 0x0, 0xC, 0x1};
1049     integerPart expected[4] = {~integerPart(0), ~integerPart(0), 0xB, 0x1};
1050     integerPart carry = APInt::tcDecrement(test, 4);
1051     EXPECT_EQ(carry, integerPart(0));
1052     EXPECT_EQ(APInt::tcCompare(test, expected, 4), 0);
1053   }
1054 
1055   // 3 across word borrow, no out borrow.
1056   {
1057     integerPart test[4] = {0x0, 0x0, 0x0, 0x1};
1058     integerPart expected[4] = {~integerPart(0), ~integerPart(0), ~integerPart(0), 0x0};
1059     integerPart carry = APInt::tcDecrement(test, 4);
1060     EXPECT_EQ(carry, integerPart(0));
1061     EXPECT_EQ(APInt::tcCompare(test, expected, 4), 0);
1062   }
1063 
1064   // 3 across word borrow, with out borrow.
1065   {
1066     integerPart test[4] = {0x0, 0x0, 0x0, 0x0};
1067     integerPart expected[4] = {~integerPart(0), ~integerPart(0), ~integerPart(0), ~integerPart(0)};
1068     integerPart carry = APInt::tcDecrement(test, 4);
1069     EXPECT_EQ(carry, integerPart(1));
1070     EXPECT_EQ(APInt::tcCompare(test, expected, 4), 0);
1071   }
1072 }
1073 
1074 TEST(APIntTest, arrayAccess) {
1075   // Single word check.
1076   uint64_t E1 = 0x2CA7F46BF6569915ULL;
1077   APInt A1(64, E1);
1078   for (unsigned i = 0, e = 64; i < e; ++i) {
1079     EXPECT_EQ(bool(E1 & (1ULL << i)),
1080               A1[i]);
1081   }
1082 
1083   // Multiword check.
1084   integerPart E2[4] = {
1085     0xEB6EB136591CBA21ULL,
1086     0x7B9358BD6A33F10AULL,
1087     0x7E7FFA5EADD8846ULL,
1088     0x305F341CA00B613DULL
1089   };
1090   APInt A2(integerPartWidth*4, E2);
1091   for (unsigned i = 0; i < 4; ++i) {
1092     for (unsigned j = 0; j < integerPartWidth; ++j) {
1093       EXPECT_EQ(bool(E2[i] & (1ULL << j)),
1094                 A2[i*integerPartWidth + j]);
1095     }
1096   }
1097 }
1098 
1099 TEST(APIntTest, LargeAPIntConstruction) {
1100   // Check that we can properly construct very large APInt. It is very
1101   // unlikely that people will ever do this, but it is a legal input,
1102   // so we should not crash on it.
1103   APInt A9(UINT32_MAX, 0);
1104   EXPECT_FALSE(A9.getBoolValue());
1105 }
1106 
1107 TEST(APIntTest, nearestLogBase2) {
1108   // Single word check.
1109 
1110   // Test round up.
1111   uint64_t I1 = 0x1800001;
1112   APInt A1(64, I1);
1113   EXPECT_EQ(A1.nearestLogBase2(), A1.ceilLogBase2());
1114 
1115   // Test round down.
1116   uint64_t I2 = 0x1000011;
1117   APInt A2(64, I2);
1118   EXPECT_EQ(A2.nearestLogBase2(), A2.logBase2());
1119 
1120   // Test ties round up.
1121   uint64_t I3 = 0x1800000;
1122   APInt A3(64, I3);
1123   EXPECT_EQ(A3.nearestLogBase2(), A3.ceilLogBase2());
1124 
1125   // Multiple word check.
1126 
1127   // Test round up.
1128   integerPart I4[4] = {0x0, 0xF, 0x18, 0x0};
1129   APInt A4(integerPartWidth*4, I4);
1130   EXPECT_EQ(A4.nearestLogBase2(), A4.ceilLogBase2());
1131 
1132   // Test round down.
1133   integerPart I5[4] = {0x0, 0xF, 0x10, 0x0};
1134   APInt A5(integerPartWidth*4, I5);
1135   EXPECT_EQ(A5.nearestLogBase2(), A5.logBase2());
1136 
1137   // Test ties round up.
1138   uint64_t I6[4] = {0x0, 0x0, 0x0, 0x18};
1139   APInt A6(integerPartWidth*4, I6);
1140   EXPECT_EQ(A6.nearestLogBase2(), A6.ceilLogBase2());
1141 
1142   // Test BitWidth == 1 special cases.
1143   APInt A7(1, 1);
1144   EXPECT_EQ(A7.nearestLogBase2(), 0ULL);
1145   APInt A8(1, 0);
1146   EXPECT_EQ(A8.nearestLogBase2(), UINT32_MAX);
1147 
1148   // Test the zero case when we have a bit width large enough such
1149   // that the bit width is larger than UINT32_MAX-1.
1150   APInt A9(UINT32_MAX, 0);
1151   EXPECT_EQ(A9.nearestLogBase2(), UINT32_MAX);
1152 }
1153 
1154 TEST(APIntTest, IsSplat) {
1155   APInt A(32, 0x01010101);
1156   EXPECT_FALSE(A.isSplat(1));
1157   EXPECT_FALSE(A.isSplat(2));
1158   EXPECT_FALSE(A.isSplat(4));
1159   EXPECT_TRUE(A.isSplat(8));
1160   EXPECT_TRUE(A.isSplat(16));
1161   EXPECT_TRUE(A.isSplat(32));
1162 
1163   APInt B(24, 0xAAAAAA);
1164   EXPECT_FALSE(B.isSplat(1));
1165   EXPECT_TRUE(B.isSplat(2));
1166   EXPECT_TRUE(B.isSplat(4));
1167   EXPECT_TRUE(B.isSplat(8));
1168   EXPECT_TRUE(B.isSplat(24));
1169 
1170   APInt C(24, 0xABAAAB);
1171   EXPECT_FALSE(C.isSplat(1));
1172   EXPECT_FALSE(C.isSplat(2));
1173   EXPECT_FALSE(C.isSplat(4));
1174   EXPECT_FALSE(C.isSplat(8));
1175   EXPECT_TRUE(C.isSplat(24));
1176 
1177   APInt D(32, 0xABBAABBA);
1178   EXPECT_FALSE(D.isSplat(1));
1179   EXPECT_FALSE(D.isSplat(2));
1180   EXPECT_FALSE(D.isSplat(4));
1181   EXPECT_FALSE(D.isSplat(8));
1182   EXPECT_TRUE(D.isSplat(16));
1183   EXPECT_TRUE(D.isSplat(32));
1184 
1185   APInt E(32, 0);
1186   EXPECT_TRUE(E.isSplat(1));
1187   EXPECT_TRUE(E.isSplat(2));
1188   EXPECT_TRUE(E.isSplat(4));
1189   EXPECT_TRUE(E.isSplat(8));
1190   EXPECT_TRUE(E.isSplat(16));
1191   EXPECT_TRUE(E.isSplat(32));
1192 }
1193 
1194 TEST(APIntTest, isMask) {
1195   EXPECT_FALSE(APIntOps::isMask(APInt(32, 0x01010101)));
1196   EXPECT_FALSE(APIntOps::isMask(APInt(32, 0xf0000000)));
1197   EXPECT_FALSE(APIntOps::isMask(APInt(32, 0xffff0000)));
1198   EXPECT_FALSE(APIntOps::isMask(APInt(32, 0xff << 1)));
1199 
1200   for (int N : { 1, 2, 3, 4, 7, 8, 16, 32, 64, 127, 128, 129, 256 }) {
1201     EXPECT_FALSE(APIntOps::isMask(APInt(N, 0)));
1202 
1203     APInt One(N, 1);
1204     for (int I = 1; I <= N; ++I) {
1205       APInt MaskVal = One.shl(I) - 1;
1206       EXPECT_TRUE(APIntOps::isMask(MaskVal));
1207     }
1208   }
1209 }
1210 
1211 #if defined(__clang__)
1212 // Disable the pragma warning from versions of Clang without -Wself-move
1213 #pragma clang diagnostic push
1214 #pragma clang diagnostic ignored "-Wunknown-pragmas"
1215 // Disable the warning that triggers on exactly what is being tested.
1216 #pragma clang diagnostic push
1217 #pragma clang diagnostic ignored "-Wself-move"
1218 #endif
1219 TEST(APIntTest, SelfMoveAssignment) {
1220   APInt X(32, 0xdeadbeef);
1221   X = std::move(X);
1222   EXPECT_EQ(32u, X.getBitWidth());
1223   EXPECT_EQ(0xdeadbeefULL, X.getLimitedValue());
1224 
1225   uint64_t Bits[] = {0xdeadbeefdeadbeefULL, 0xdeadbeefdeadbeefULL};
1226   APInt Y(128, Bits);
1227   Y = std::move(Y);
1228   EXPECT_EQ(128u, Y.getBitWidth());
1229   EXPECT_EQ(~0ULL, Y.getLimitedValue());
1230   const uint64_t *Raw = Y.getRawData();
1231   EXPECT_EQ(2u, Y.getNumWords());
1232   EXPECT_EQ(0xdeadbeefdeadbeefULL, Raw[0]);
1233   EXPECT_EQ(0xdeadbeefdeadbeefULL, Raw[1]);
1234 }
1235 #if defined(__clang__)
1236 #pragma clang diagnostic pop
1237 #pragma clang diagnostic pop
1238 #endif
1239 }
1240 
1241 TEST(APIntTest, reverseBits) {
1242   EXPECT_EQ(1, APInt(1, 1).reverseBits());
1243   EXPECT_EQ(0, APInt(1, 0).reverseBits());
1244 
1245   EXPECT_EQ(3, APInt(2, 3).reverseBits());
1246   EXPECT_EQ(3, APInt(2, 3).reverseBits());
1247 
1248   EXPECT_EQ(0xb, APInt(4, 0xd).reverseBits());
1249   EXPECT_EQ(0xd, APInt(4, 0xb).reverseBits());
1250   EXPECT_EQ(0xf, APInt(4, 0xf).reverseBits());
1251 
1252   EXPECT_EQ(0x30, APInt(7, 0x6).reverseBits());
1253   EXPECT_EQ(0x5a, APInt(7, 0x2d).reverseBits());
1254 
1255   EXPECT_EQ(0x0f, APInt(8, 0xf0).reverseBits());
1256   EXPECT_EQ(0xf0, APInt(8, 0x0f).reverseBits());
1257 
1258   EXPECT_EQ(0x0f0f, APInt(16, 0xf0f0).reverseBits());
1259   EXPECT_EQ(0xf0f0, APInt(16, 0x0f0f).reverseBits());
1260 
1261   EXPECT_EQ(0x0f0f0f0f, APInt(32, 0xf0f0f0f0).reverseBits());
1262   EXPECT_EQ(0xf0f0f0f0, APInt(32, 0x0f0f0f0f).reverseBits());
1263 
1264   EXPECT_EQ(0x402880a0 >> 1, APInt(31, 0x05011402).reverseBits());
1265 
1266   EXPECT_EQ(0x0f0f0f0f, APInt(32, 0xf0f0f0f0).reverseBits());
1267   EXPECT_EQ(0xf0f0f0f0, APInt(32, 0x0f0f0f0f).reverseBits());
1268 
1269   EXPECT_EQ(0x0f0f0f0f0f0f0f0f, APInt(64, 0xf0f0f0f0f0f0f0f0).reverseBits());
1270   EXPECT_EQ(0xf0f0f0f0f0f0f0f0, APInt(64, 0x0f0f0f0f0f0f0f0f).reverseBits());
1271 
1272   for (unsigned N : { 1, 8, 16, 24, 31, 32, 33,
1273                       63, 64, 65, 127, 128, 257, 1024 }) {
1274     for (unsigned I = 0; I < N; ++I) {
1275       APInt X = APInt::getOneBitSet(N, I);
1276       APInt Y = APInt::getOneBitSet(N, N - (I + 1));
1277       EXPECT_EQ(Y, X.reverseBits());
1278       EXPECT_EQ(X, Y.reverseBits());
1279     }
1280   }
1281 }
1282