xref: /llvm-project/llvm/unittests/ADT/APIntTest.cpp (revision fae1cf40bbabfacb6e4789bd390b58ebeb3e8bdb)
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 TEST(APIntTest, i33_Count) {
51   APInt i33minus2(33, static_cast<uint64_t>(-2), true);
52   EXPECT_EQ(0u, i33minus2.countLeadingZeros());
53   EXPECT_EQ(32u, i33minus2.countLeadingOnes());
54   EXPECT_EQ(33u, i33minus2.getActiveBits());
55   EXPECT_EQ(1u, i33minus2.countTrailingZeros());
56   EXPECT_EQ(32u, i33minus2.countPopulation());
57   EXPECT_EQ(-2, i33minus2.getSExtValue());
58   EXPECT_EQ(((uint64_t)-2)&((1ull<<33) -1), i33minus2.getZExtValue());
59 }
60 
61 TEST(APIntTest, i65_Count) {
62   APInt i65(65, 0, true);
63   EXPECT_EQ(65u, i65.countLeadingZeros());
64   EXPECT_EQ(0u, i65.countLeadingOnes());
65   EXPECT_EQ(0u, i65.getActiveBits());
66   EXPECT_EQ(1u, i65.getActiveWords());
67   EXPECT_EQ(65u, i65.countTrailingZeros());
68   EXPECT_EQ(0u, i65.countPopulation());
69 
70   APInt i65minus(65, 0, true);
71   i65minus.setBit(64);
72   EXPECT_EQ(0u, i65minus.countLeadingZeros());
73   EXPECT_EQ(1u, i65minus.countLeadingOnes());
74   EXPECT_EQ(65u, i65minus.getActiveBits());
75   EXPECT_EQ(64u, i65minus.countTrailingZeros());
76   EXPECT_EQ(1u, i65minus.countPopulation());
77 }
78 
79 TEST(APIntTest, i128_PositiveCount) {
80   APInt u128max = APInt::getAllOnesValue(128);
81   EXPECT_EQ(128u, u128max.countLeadingOnes());
82   EXPECT_EQ(0u, u128max.countLeadingZeros());
83   EXPECT_EQ(128u, u128max.getActiveBits());
84   EXPECT_EQ(0u, u128max.countTrailingZeros());
85   EXPECT_EQ(128u, u128max.countTrailingOnes());
86   EXPECT_EQ(128u, u128max.countPopulation());
87 
88   APInt u64max(128, static_cast<uint64_t>(-1), false);
89   EXPECT_EQ(64u, u64max.countLeadingZeros());
90   EXPECT_EQ(0u, u64max.countLeadingOnes());
91   EXPECT_EQ(64u, u64max.getActiveBits());
92   EXPECT_EQ(0u, u64max.countTrailingZeros());
93   EXPECT_EQ(64u, u64max.countTrailingOnes());
94   EXPECT_EQ(64u, u64max.countPopulation());
95   EXPECT_EQ((uint64_t)~0ull, u64max.getZExtValue());
96 
97   APInt zero(128, 0, true);
98   EXPECT_EQ(128u, zero.countLeadingZeros());
99   EXPECT_EQ(0u, zero.countLeadingOnes());
100   EXPECT_EQ(0u, zero.getActiveBits());
101   EXPECT_EQ(128u, zero.countTrailingZeros());
102   EXPECT_EQ(0u, zero.countTrailingOnes());
103   EXPECT_EQ(0u, zero.countPopulation());
104   EXPECT_EQ(0u, zero.getSExtValue());
105   EXPECT_EQ(0u, zero.getZExtValue());
106 
107   APInt one(128, 1, true);
108   EXPECT_EQ(127u, one.countLeadingZeros());
109   EXPECT_EQ(0u, one.countLeadingOnes());
110   EXPECT_EQ(1u, one.getActiveBits());
111   EXPECT_EQ(0u, one.countTrailingZeros());
112   EXPECT_EQ(1u, one.countTrailingOnes());
113   EXPECT_EQ(1u, one.countPopulation());
114   EXPECT_EQ(1, one.getSExtValue());
115   EXPECT_EQ(1u, one.getZExtValue());
116 }
117 
118 TEST(APIntTest, i1) {
119   const APInt neg_two(1, static_cast<uint64_t>(-2), true);
120   const APInt neg_one(1, static_cast<uint64_t>(-1), true);
121   const APInt zero(1, 0);
122   const APInt one(1, 1);
123   const APInt two(1, 2);
124 
125   EXPECT_EQ(0, neg_two.getSExtValue());
126   EXPECT_EQ(-1, neg_one.getSExtValue());
127   EXPECT_EQ(1u, neg_one.getZExtValue());
128   EXPECT_EQ(0u, zero.getZExtValue());
129   EXPECT_EQ(-1, one.getSExtValue());
130   EXPECT_EQ(1u, one.getZExtValue());
131   EXPECT_EQ(0u, two.getZExtValue());
132   EXPECT_EQ(0, two.getSExtValue());
133 
134   // Basic equalities for 1-bit values.
135   EXPECT_EQ(zero, two);
136   EXPECT_EQ(zero, neg_two);
137   EXPECT_EQ(one, neg_one);
138   EXPECT_EQ(two, neg_two);
139 
140   // Min/max signed values.
141   EXPECT_TRUE(zero.isMaxSignedValue());
142   EXPECT_FALSE(one.isMaxSignedValue());
143   EXPECT_FALSE(zero.isMinSignedValue());
144   EXPECT_TRUE(one.isMinSignedValue());
145 
146   // Additions.
147   EXPECT_EQ(two, one + one);
148   EXPECT_EQ(zero, neg_one + one);
149   EXPECT_EQ(neg_two, neg_one + neg_one);
150 
151   // Subtractions.
152   EXPECT_EQ(neg_two, neg_one - one);
153   EXPECT_EQ(two, one - neg_one);
154   EXPECT_EQ(zero, one - one);
155 
156   // Shifts.
157   EXPECT_EQ(zero, one << one);
158   EXPECT_EQ(one, one << zero);
159   EXPECT_EQ(zero, one.shl(1));
160   EXPECT_EQ(one, one.shl(0));
161   EXPECT_EQ(zero, one.lshr(1));
162   EXPECT_EQ(zero, one.ashr(1));
163 
164   // Rotates.
165   EXPECT_EQ(one, one.rotl(0));
166   EXPECT_EQ(one, one.rotl(1));
167   EXPECT_EQ(one, one.rotr(0));
168   EXPECT_EQ(one, one.rotr(1));
169 
170   // Multiplies.
171   EXPECT_EQ(neg_one, neg_one * one);
172   EXPECT_EQ(neg_one, one * neg_one);
173   EXPECT_EQ(one, neg_one * neg_one);
174   EXPECT_EQ(one, one * one);
175 
176   // Divides.
177   EXPECT_EQ(neg_one, one.sdiv(neg_one));
178   EXPECT_EQ(neg_one, neg_one.sdiv(one));
179   EXPECT_EQ(one, neg_one.sdiv(neg_one));
180   EXPECT_EQ(one, one.sdiv(one));
181 
182   EXPECT_EQ(neg_one, one.udiv(neg_one));
183   EXPECT_EQ(neg_one, neg_one.udiv(one));
184   EXPECT_EQ(one, neg_one.udiv(neg_one));
185   EXPECT_EQ(one, one.udiv(one));
186 
187   // Remainders.
188   EXPECT_EQ(zero, neg_one.srem(one));
189   EXPECT_EQ(zero, neg_one.urem(one));
190   EXPECT_EQ(zero, one.srem(neg_one));
191 
192   // sdivrem
193   {
194   APInt q(8, 0);
195   APInt r(8, 0);
196   APInt one(8, 1);
197   APInt two(8, 2);
198   APInt nine(8, 9);
199   APInt four(8, 4);
200 
201   EXPECT_EQ(nine.srem(two), one);
202   EXPECT_EQ(nine.srem(-two), one);
203   EXPECT_EQ((-nine).srem(two), -one);
204   EXPECT_EQ((-nine).srem(-two), -one);
205 
206   APInt::sdivrem(nine, two, q, r);
207   EXPECT_EQ(four, q);
208   EXPECT_EQ(one, r);
209   APInt::sdivrem(-nine, two, q, r);
210   EXPECT_EQ(-four, q);
211   EXPECT_EQ(-one, r);
212   APInt::sdivrem(nine, -two, q, r);
213   EXPECT_EQ(-four, q);
214   EXPECT_EQ(one, r);
215   APInt::sdivrem(-nine, -two, q, r);
216   EXPECT_EQ(four, q);
217   EXPECT_EQ(-one, r);
218   }
219 }
220 
221 TEST(APIntTest, compare) {
222   std::array<APInt, 5> testVals{{
223     APInt{16, 2},
224     APInt{16, 1},
225     APInt{16, 0},
226     APInt{16, (uint64_t)-1, true},
227     APInt{16, (uint64_t)-2, true},
228   }};
229 
230   for (auto &arg1 : testVals)
231     for (auto &arg2 : testVals) {
232       auto uv1 = arg1.getZExtValue();
233       auto uv2 = arg2.getZExtValue();
234       auto sv1 = arg1.getSExtValue();
235       auto sv2 = arg2.getSExtValue();
236 
237       EXPECT_EQ(uv1 <  uv2, arg1.ult(arg2));
238       EXPECT_EQ(uv1 <= uv2, arg1.ule(arg2));
239       EXPECT_EQ(uv1 >  uv2, arg1.ugt(arg2));
240       EXPECT_EQ(uv1 >= uv2, arg1.uge(arg2));
241 
242       EXPECT_EQ(sv1 <  sv2, arg1.slt(arg2));
243       EXPECT_EQ(sv1 <= sv2, arg1.sle(arg2));
244       EXPECT_EQ(sv1 >  sv2, arg1.sgt(arg2));
245       EXPECT_EQ(sv1 >= sv2, arg1.sge(arg2));
246 
247       EXPECT_EQ(uv1 <  uv2, arg1.ult(uv2));
248       EXPECT_EQ(uv1 <= uv2, arg1.ule(uv2));
249       EXPECT_EQ(uv1 >  uv2, arg1.ugt(uv2));
250       EXPECT_EQ(uv1 >= uv2, arg1.uge(uv2));
251 
252       EXPECT_EQ(sv1 <  sv2, arg1.slt(sv2));
253       EXPECT_EQ(sv1 <= sv2, arg1.sle(sv2));
254       EXPECT_EQ(sv1 >  sv2, arg1.sgt(sv2));
255       EXPECT_EQ(sv1 >= sv2, arg1.sge(sv2));
256     }
257 }
258 
259 TEST(APIntTest, compareWithRawIntegers) {
260   EXPECT_TRUE(!APInt(8, 1).uge(256));
261   EXPECT_TRUE(!APInt(8, 1).ugt(256));
262   EXPECT_TRUE( APInt(8, 1).ule(256));
263   EXPECT_TRUE( APInt(8, 1).ult(256));
264   EXPECT_TRUE(!APInt(8, 1).sge(256));
265   EXPECT_TRUE(!APInt(8, 1).sgt(256));
266   EXPECT_TRUE( APInt(8, 1).sle(256));
267   EXPECT_TRUE( APInt(8, 1).slt(256));
268   EXPECT_TRUE(!(APInt(8, 0) == 256));
269   EXPECT_TRUE(  APInt(8, 0) != 256);
270   EXPECT_TRUE(!(APInt(8, 1) == 256));
271   EXPECT_TRUE(  APInt(8, 1) != 256);
272 
273   auto uint64max = UINT64_MAX;
274   auto int64max  = INT64_MAX;
275   auto int64min  = INT64_MIN;
276 
277   auto u64 = APInt{128, uint64max};
278   auto s64 = APInt{128, static_cast<uint64_t>(int64max), true};
279   auto big = u64 + 1;
280 
281   EXPECT_TRUE( u64.uge(uint64max));
282   EXPECT_TRUE(!u64.ugt(uint64max));
283   EXPECT_TRUE( u64.ule(uint64max));
284   EXPECT_TRUE(!u64.ult(uint64max));
285   EXPECT_TRUE( u64.sge(int64max));
286   EXPECT_TRUE( u64.sgt(int64max));
287   EXPECT_TRUE(!u64.sle(int64max));
288   EXPECT_TRUE(!u64.slt(int64max));
289   EXPECT_TRUE( u64.sge(int64min));
290   EXPECT_TRUE( u64.sgt(int64min));
291   EXPECT_TRUE(!u64.sle(int64min));
292   EXPECT_TRUE(!u64.slt(int64min));
293 
294   EXPECT_TRUE(u64 == uint64max);
295   EXPECT_TRUE(u64 != int64max);
296   EXPECT_TRUE(u64 != int64min);
297 
298   EXPECT_TRUE(!s64.uge(uint64max));
299   EXPECT_TRUE(!s64.ugt(uint64max));
300   EXPECT_TRUE( s64.ule(uint64max));
301   EXPECT_TRUE( s64.ult(uint64max));
302   EXPECT_TRUE( s64.sge(int64max));
303   EXPECT_TRUE(!s64.sgt(int64max));
304   EXPECT_TRUE( s64.sle(int64max));
305   EXPECT_TRUE(!s64.slt(int64max));
306   EXPECT_TRUE( s64.sge(int64min));
307   EXPECT_TRUE( s64.sgt(int64min));
308   EXPECT_TRUE(!s64.sle(int64min));
309   EXPECT_TRUE(!s64.slt(int64min));
310 
311   EXPECT_TRUE(s64 != uint64max);
312   EXPECT_TRUE(s64 == int64max);
313   EXPECT_TRUE(s64 != int64min);
314 
315   EXPECT_TRUE( big.uge(uint64max));
316   EXPECT_TRUE( big.ugt(uint64max));
317   EXPECT_TRUE(!big.ule(uint64max));
318   EXPECT_TRUE(!big.ult(uint64max));
319   EXPECT_TRUE( big.sge(int64max));
320   EXPECT_TRUE( big.sgt(int64max));
321   EXPECT_TRUE(!big.sle(int64max));
322   EXPECT_TRUE(!big.slt(int64max));
323   EXPECT_TRUE( big.sge(int64min));
324   EXPECT_TRUE( big.sgt(int64min));
325   EXPECT_TRUE(!big.sle(int64min));
326   EXPECT_TRUE(!big.slt(int64min));
327 
328   EXPECT_TRUE(big != uint64max);
329   EXPECT_TRUE(big != int64max);
330   EXPECT_TRUE(big != int64min);
331 }
332 
333 TEST(APIntTest, compareWithInt64Min) {
334   int64_t edge = INT64_MIN;
335   int64_t edgeP1 = edge + 1;
336   int64_t edgeM1 = INT64_MAX;
337   auto a = APInt{64, static_cast<uint64_t>(edge), true};
338 
339   EXPECT_TRUE(!a.slt(edge));
340   EXPECT_TRUE( a.sle(edge));
341   EXPECT_TRUE(!a.sgt(edge));
342   EXPECT_TRUE( a.sge(edge));
343   EXPECT_TRUE( a.slt(edgeP1));
344   EXPECT_TRUE( a.sle(edgeP1));
345   EXPECT_TRUE(!a.sgt(edgeP1));
346   EXPECT_TRUE(!a.sge(edgeP1));
347   EXPECT_TRUE( a.slt(edgeM1));
348   EXPECT_TRUE( a.sle(edgeM1));
349   EXPECT_TRUE(!a.sgt(edgeM1));
350   EXPECT_TRUE(!a.sge(edgeM1));
351 }
352 
353 TEST(APIntTest, compareWithHalfInt64Max) {
354   uint64_t edge = 0x4000000000000000;
355   uint64_t edgeP1 = edge + 1;
356   uint64_t edgeM1 = edge - 1;
357   auto a = APInt{64, edge};
358 
359   EXPECT_TRUE(!a.ult(edge));
360   EXPECT_TRUE( a.ule(edge));
361   EXPECT_TRUE(!a.ugt(edge));
362   EXPECT_TRUE( a.uge(edge));
363   EXPECT_TRUE( a.ult(edgeP1));
364   EXPECT_TRUE( a.ule(edgeP1));
365   EXPECT_TRUE(!a.ugt(edgeP1));
366   EXPECT_TRUE(!a.uge(edgeP1));
367   EXPECT_TRUE(!a.ult(edgeM1));
368   EXPECT_TRUE(!a.ule(edgeM1));
369   EXPECT_TRUE( a.ugt(edgeM1));
370   EXPECT_TRUE( a.uge(edgeM1));
371 
372   EXPECT_TRUE(!a.slt(edge));
373   EXPECT_TRUE( a.sle(edge));
374   EXPECT_TRUE(!a.sgt(edge));
375   EXPECT_TRUE( a.sge(edge));
376   EXPECT_TRUE( a.slt(edgeP1));
377   EXPECT_TRUE( a.sle(edgeP1));
378   EXPECT_TRUE(!a.sgt(edgeP1));
379   EXPECT_TRUE(!a.sge(edgeP1));
380   EXPECT_TRUE(!a.slt(edgeM1));
381   EXPECT_TRUE(!a.sle(edgeM1));
382   EXPECT_TRUE( a.sgt(edgeM1));
383   EXPECT_TRUE( a.sge(edgeM1));
384 }
385 
386 TEST(APIntTest, compareLargeIntegers) {
387   // Make sure all the combinations of signed comparisons work with big ints.
388   auto One = APInt{128, static_cast<uint64_t>(1), true};
389   auto Two = APInt{128, static_cast<uint64_t>(2), true};
390   auto MinusOne = APInt{128, static_cast<uint64_t>(-1), true};
391   auto MinusTwo = APInt{128, static_cast<uint64_t>(-2), true};
392 
393   EXPECT_TRUE(!One.slt(One));
394   EXPECT_TRUE(!Two.slt(One));
395   EXPECT_TRUE(MinusOne.slt(One));
396   EXPECT_TRUE(MinusTwo.slt(One));
397 
398   EXPECT_TRUE(One.slt(Two));
399   EXPECT_TRUE(!Two.slt(Two));
400   EXPECT_TRUE(MinusOne.slt(Two));
401   EXPECT_TRUE(MinusTwo.slt(Two));
402 
403   EXPECT_TRUE(!One.slt(MinusOne));
404   EXPECT_TRUE(!Two.slt(MinusOne));
405   EXPECT_TRUE(!MinusOne.slt(MinusOne));
406   EXPECT_TRUE(MinusTwo.slt(MinusOne));
407 
408   EXPECT_TRUE(!One.slt(MinusTwo));
409   EXPECT_TRUE(!Two.slt(MinusTwo));
410   EXPECT_TRUE(!MinusOne.slt(MinusTwo));
411   EXPECT_TRUE(!MinusTwo.slt(MinusTwo));
412 }
413 
414 TEST(APIntTest, rvalue_arithmetic) {
415   // Test all combinations of lvalue/rvalue lhs/rhs of add/sub
416 
417   // Lamdba to return an APInt by value, but also provide the raw value of the
418   // allocated data.
419   auto getRValue = [](const char *HexString, uint64_t const *&RawData) {
420     APInt V(129, HexString, 16);
421     RawData = V.getRawData();
422     return V;
423   };
424 
425   APInt One(129, "1", 16);
426   APInt Two(129, "2", 16);
427   APInt Three(129, "3", 16);
428   APInt MinusOne = -One;
429 
430   const uint64_t *RawDataL = nullptr;
431   const uint64_t *RawDataR = nullptr;
432 
433   {
434     // 1 + 1 = 2
435     APInt AddLL = One + One;
436     EXPECT_EQ(AddLL, Two);
437 
438     APInt AddLR = One + getRValue("1", RawDataR);
439     EXPECT_EQ(AddLR, Two);
440     EXPECT_EQ(AddLR.getRawData(), RawDataR);
441 
442     APInt AddRL = getRValue("1", RawDataL) + One;
443     EXPECT_EQ(AddRL, Two);
444     EXPECT_EQ(AddRL.getRawData(), RawDataL);
445 
446     APInt AddRR = getRValue("1", RawDataL) + getRValue("1", RawDataR);
447     EXPECT_EQ(AddRR, Two);
448     EXPECT_EQ(AddRR.getRawData(), RawDataR);
449 
450     // LValue's and constants
451     APInt AddLK = One + 1;
452     EXPECT_EQ(AddLK, Two);
453 
454     APInt AddKL = 1 + One;
455     EXPECT_EQ(AddKL, Two);
456 
457     // RValue's and constants
458     APInt AddRK = getRValue("1", RawDataL) + 1;
459     EXPECT_EQ(AddRK, Two);
460     EXPECT_EQ(AddRK.getRawData(), RawDataL);
461 
462     APInt AddKR = 1 + getRValue("1", RawDataR);
463     EXPECT_EQ(AddKR, Two);
464     EXPECT_EQ(AddKR.getRawData(), RawDataR);
465   }
466 
467   {
468     // 0x0,FFFF...FFFF + 0x2 = 0x100...0001
469     APInt AllOnes(129, "0FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF", 16);
470     APInt HighOneLowOne(129, "100000000000000000000000000000001", 16);
471 
472     APInt AddLL = AllOnes + Two;
473     EXPECT_EQ(AddLL, HighOneLowOne);
474 
475     APInt AddLR = AllOnes + getRValue("2", RawDataR);
476     EXPECT_EQ(AddLR, HighOneLowOne);
477     EXPECT_EQ(AddLR.getRawData(), RawDataR);
478 
479     APInt AddRL = getRValue("FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF", RawDataL) + Two;
480     EXPECT_EQ(AddRL, HighOneLowOne);
481     EXPECT_EQ(AddRL.getRawData(), RawDataL);
482 
483     APInt AddRR = getRValue("FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF", RawDataL) +
484                   getRValue("2", RawDataR);
485     EXPECT_EQ(AddRR, HighOneLowOne);
486     EXPECT_EQ(AddRR.getRawData(), RawDataR);
487 
488     // LValue's and constants
489     APInt AddLK = AllOnes + 2;
490     EXPECT_EQ(AddLK, HighOneLowOne);
491 
492     APInt AddKL = 2 + AllOnes;
493     EXPECT_EQ(AddKL, HighOneLowOne);
494 
495     // RValue's and constants
496     APInt AddRK = getRValue("FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF", RawDataL) + 2;
497     EXPECT_EQ(AddRK, HighOneLowOne);
498     EXPECT_EQ(AddRK.getRawData(), RawDataL);
499 
500     APInt AddKR = 2 + getRValue("FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF", RawDataR);
501     EXPECT_EQ(AddKR, HighOneLowOne);
502     EXPECT_EQ(AddKR.getRawData(), RawDataR);
503   }
504 
505   {
506     // 2 - 1 = 1
507     APInt SubLL = Two - One;
508     EXPECT_EQ(SubLL, One);
509 
510     APInt SubLR = Two - getRValue("1", RawDataR);
511     EXPECT_EQ(SubLR, One);
512     EXPECT_EQ(SubLR.getRawData(), RawDataR);
513 
514     APInt SubRL = getRValue("2", RawDataL) - One;
515     EXPECT_EQ(SubRL, One);
516     EXPECT_EQ(SubRL.getRawData(), RawDataL);
517 
518     APInt SubRR = getRValue("2", RawDataL) - getRValue("1", RawDataR);
519     EXPECT_EQ(SubRR, One);
520     EXPECT_EQ(SubRR.getRawData(), RawDataR);
521 
522     // LValue's and constants
523     APInt SubLK = Two - 1;
524     EXPECT_EQ(SubLK, One);
525 
526     APInt SubKL = 2 - One;
527     EXPECT_EQ(SubKL, One);
528 
529     // RValue's and constants
530     APInt SubRK = getRValue("2", RawDataL) - 1;
531     EXPECT_EQ(SubRK, One);
532     EXPECT_EQ(SubRK.getRawData(), RawDataL);
533 
534     APInt SubKR = 2 - getRValue("1", RawDataR);
535     EXPECT_EQ(SubKR, One);
536     EXPECT_EQ(SubKR.getRawData(), RawDataR);
537   }
538 
539   {
540     // 0x100...0001 - 0x0,FFFF...FFFF = 0x2
541     APInt AllOnes(129, "0FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF", 16);
542     APInt HighOneLowOne(129, "100000000000000000000000000000001", 16);
543 
544     APInt SubLL = HighOneLowOne - AllOnes;
545     EXPECT_EQ(SubLL, Two);
546 
547     APInt SubLR = HighOneLowOne -
548                   getRValue("0FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF", RawDataR);
549     EXPECT_EQ(SubLR, Two);
550     EXPECT_EQ(SubLR.getRawData(), RawDataR);
551 
552     APInt SubRL = getRValue("100000000000000000000000000000001", RawDataL) -
553                   AllOnes;
554     EXPECT_EQ(SubRL, Two);
555     EXPECT_EQ(SubRL.getRawData(), RawDataL);
556 
557     APInt SubRR = getRValue("100000000000000000000000000000001", RawDataL) -
558                   getRValue("0FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF", RawDataR);
559     EXPECT_EQ(SubRR, Two);
560     EXPECT_EQ(SubRR.getRawData(), RawDataR);
561 
562     // LValue's and constants
563     // 0x100...0001 - 0x2 = 0x0,FFFF...FFFF
564     APInt SubLK = HighOneLowOne - 2;
565     EXPECT_EQ(SubLK, AllOnes);
566 
567     // 2 - (-1) = 3
568     APInt SubKL = 2 - MinusOne;
569     EXPECT_EQ(SubKL, Three);
570 
571     // RValue's and constants
572     // 0x100...0001 - 0x2 = 0x0,FFFF...FFFF
573     APInt SubRK = getRValue("100000000000000000000000000000001", RawDataL) - 2;
574     EXPECT_EQ(SubRK, AllOnes);
575     EXPECT_EQ(SubRK.getRawData(), RawDataL);
576 
577     APInt SubKR = 2 - getRValue("1FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF", RawDataR);
578     EXPECT_EQ(SubKR, Three);
579     EXPECT_EQ(SubKR.getRawData(), RawDataR);
580   }
581 }
582 
583 
584 // Tests different div/rem varaints using scheme (a * b + c) / a
585 void testDiv(APInt a, APInt b, APInt c) {
586   ASSERT_TRUE(a.uge(b)); // Must: a >= b
587   ASSERT_TRUE(a.ugt(c)); // Must: a > c
588 
589   auto p = a * b + c;
590 
591   auto q = p.udiv(a);
592   auto r = p.urem(a);
593   EXPECT_EQ(b, q);
594   EXPECT_EQ(c, r);
595   APInt::udivrem(p, a, q, r);
596   EXPECT_EQ(b, q);
597   EXPECT_EQ(c, r);
598   q = p.sdiv(a);
599   r = p.srem(a);
600   EXPECT_EQ(b, q);
601   EXPECT_EQ(c, r);
602   APInt::sdivrem(p, a, q, r);
603   EXPECT_EQ(b, q);
604   EXPECT_EQ(c, r);
605 
606   if (b.ugt(c)) { // Test also symmetric case
607     q = p.udiv(b);
608     r = p.urem(b);
609     EXPECT_EQ(a, q);
610     EXPECT_EQ(c, r);
611     APInt::udivrem(p, b, q, r);
612     EXPECT_EQ(a, q);
613     EXPECT_EQ(c, r);
614     q = p.sdiv(b);
615     r = p.srem(b);
616     EXPECT_EQ(a, q);
617     EXPECT_EQ(c, r);
618     APInt::sdivrem(p, b, q, r);
619     EXPECT_EQ(a, q);
620     EXPECT_EQ(c, r);
621   }
622 }
623 
624 TEST(APIntTest, divrem_big1) {
625   // Tests KnuthDiv rare step D6
626   testDiv({256, "1ffffffffffffffff", 16},
627           {256, "1ffffffffffffffff", 16},
628           {256, 0});
629 }
630 
631 TEST(APIntTest, divrem_big2) {
632   // Tests KnuthDiv rare step D6
633   testDiv({1024,                       "112233ceff"
634                  "cecece000000ffffffffffffffffffff"
635                  "ffffffffffffffffffffffffffffffff"
636                  "ffffffffffffffffffffffffffffffff"
637                  "ffffffffffffffffffffffffffffff33", 16},
638           {1024,           "111111ffffffffffffffff"
639                  "ffffffffffffffffffffffffffffffff"
640                  "fffffffffffffffffffffffffffffccf"
641                  "ffffffffffffffffffffffffffffff00", 16},
642           {1024, 7919});
643 }
644 
645 TEST(APIntTest, divrem_big3) {
646   // Tests KnuthDiv case without shift
647   testDiv({256, "80000001ffffffffffffffff", 16},
648           {256, "ffffffffffffff0000000", 16},
649           {256, 4219});
650 }
651 
652 TEST(APIntTest, divrem_big4) {
653   // Tests heap allocation in divide() enfoced by huge numbers
654   testDiv(APInt{4096, 5}.shl(2001),
655           APInt{4096, 1}.shl(2000),
656           APInt{4096, 4219*13});
657 }
658 
659 TEST(APIntTest, divrem_big5) {
660   // Tests one word divisor case of divide()
661   testDiv(APInt{1024, 19}.shl(811),
662           APInt{1024, 4356013}, // one word
663           APInt{1024, 1});
664 }
665 
666 TEST(APIntTest, divrem_big6) {
667   // Tests some rare "borrow" cases in D4 step
668   testDiv(APInt{512, "ffffffffffffffff00000000000000000000000001", 16},
669           APInt{512, "10000000000000001000000000000001", 16},
670           APInt{512, "10000000000000000000000000000000", 16});
671 }
672 
673 TEST(APIntTest, divrem_big7) {
674   // Yet another test for KnuthDiv rare step D6.
675   testDiv({224, "800000008000000200000005", 16},
676           {224, "fffffffd", 16},
677           {224, "80000000800000010000000f", 16});
678 }
679 
680 TEST(APIntTest, fromString) {
681   EXPECT_EQ(APInt(32, 0), APInt(32,   "0", 2));
682   EXPECT_EQ(APInt(32, 1), APInt(32,   "1", 2));
683   EXPECT_EQ(APInt(32, 2), APInt(32,  "10", 2));
684   EXPECT_EQ(APInt(32, 3), APInt(32,  "11", 2));
685   EXPECT_EQ(APInt(32, 4), APInt(32, "100", 2));
686 
687   EXPECT_EQ(APInt(32, 0), APInt(32,   "+0", 2));
688   EXPECT_EQ(APInt(32, 1), APInt(32,   "+1", 2));
689   EXPECT_EQ(APInt(32, 2), APInt(32,  "+10", 2));
690   EXPECT_EQ(APInt(32, 3), APInt(32,  "+11", 2));
691   EXPECT_EQ(APInt(32, 4), APInt(32, "+100", 2));
692 
693   EXPECT_EQ(APInt(32, uint64_t(-0LL)), APInt(32,   "-0", 2));
694   EXPECT_EQ(APInt(32, uint64_t(-1LL)), APInt(32,   "-1", 2));
695   EXPECT_EQ(APInt(32, uint64_t(-2LL)), APInt(32,  "-10", 2));
696   EXPECT_EQ(APInt(32, uint64_t(-3LL)), APInt(32,  "-11", 2));
697   EXPECT_EQ(APInt(32, uint64_t(-4LL)), APInt(32, "-100", 2));
698 
699 
700   EXPECT_EQ(APInt(32,  0), APInt(32,  "0",  8));
701   EXPECT_EQ(APInt(32,  1), APInt(32,  "1",  8));
702   EXPECT_EQ(APInt(32,  7), APInt(32,  "7",  8));
703   EXPECT_EQ(APInt(32,  8), APInt(32,  "10", 8));
704   EXPECT_EQ(APInt(32, 15), APInt(32,  "17", 8));
705   EXPECT_EQ(APInt(32, 16), APInt(32,  "20", 8));
706 
707   EXPECT_EQ(APInt(32,  +0), APInt(32,  "+0",  8));
708   EXPECT_EQ(APInt(32,  +1), APInt(32,  "+1",  8));
709   EXPECT_EQ(APInt(32,  +7), APInt(32,  "+7",  8));
710   EXPECT_EQ(APInt(32,  +8), APInt(32,  "+10", 8));
711   EXPECT_EQ(APInt(32, +15), APInt(32,  "+17", 8));
712   EXPECT_EQ(APInt(32, +16), APInt(32,  "+20", 8));
713 
714   EXPECT_EQ(APInt(32,  uint64_t(-0LL)), APInt(32,  "-0",  8));
715   EXPECT_EQ(APInt(32,  uint64_t(-1LL)), APInt(32,  "-1",  8));
716   EXPECT_EQ(APInt(32,  uint64_t(-7LL)), APInt(32,  "-7",  8));
717   EXPECT_EQ(APInt(32,  uint64_t(-8LL)), APInt(32,  "-10", 8));
718   EXPECT_EQ(APInt(32, uint64_t(-15LL)), APInt(32,  "-17", 8));
719   EXPECT_EQ(APInt(32, uint64_t(-16LL)), APInt(32,  "-20", 8));
720 
721 
722   EXPECT_EQ(APInt(32,  0), APInt(32,  "0", 10));
723   EXPECT_EQ(APInt(32,  1), APInt(32,  "1", 10));
724   EXPECT_EQ(APInt(32,  9), APInt(32,  "9", 10));
725   EXPECT_EQ(APInt(32, 10), APInt(32, "10", 10));
726   EXPECT_EQ(APInt(32, 19), APInt(32, "19", 10));
727   EXPECT_EQ(APInt(32, 20), APInt(32, "20", 10));
728 
729   EXPECT_EQ(APInt(32,  uint64_t(-0LL)), APInt(32,  "-0", 10));
730   EXPECT_EQ(APInt(32,  uint64_t(-1LL)), APInt(32,  "-1", 10));
731   EXPECT_EQ(APInt(32,  uint64_t(-9LL)), APInt(32,  "-9", 10));
732   EXPECT_EQ(APInt(32, uint64_t(-10LL)), APInt(32, "-10", 10));
733   EXPECT_EQ(APInt(32, uint64_t(-19LL)), APInt(32, "-19", 10));
734   EXPECT_EQ(APInt(32, uint64_t(-20LL)), APInt(32, "-20", 10));
735 
736 
737   EXPECT_EQ(APInt(32,  0), APInt(32,  "0", 16));
738   EXPECT_EQ(APInt(32,  1), APInt(32,  "1", 16));
739   EXPECT_EQ(APInt(32, 15), APInt(32,  "F", 16));
740   EXPECT_EQ(APInt(32, 16), APInt(32, "10", 16));
741   EXPECT_EQ(APInt(32, 31), APInt(32, "1F", 16));
742   EXPECT_EQ(APInt(32, 32), APInt(32, "20", 16));
743 
744   EXPECT_EQ(APInt(32,  uint64_t(-0LL)), APInt(32,  "-0", 16));
745   EXPECT_EQ(APInt(32,  uint64_t(-1LL)), APInt(32,  "-1", 16));
746   EXPECT_EQ(APInt(32, uint64_t(-15LL)), APInt(32,  "-F", 16));
747   EXPECT_EQ(APInt(32, uint64_t(-16LL)), APInt(32, "-10", 16));
748   EXPECT_EQ(APInt(32, uint64_t(-31LL)), APInt(32, "-1F", 16));
749   EXPECT_EQ(APInt(32, uint64_t(-32LL)), APInt(32, "-20", 16));
750 
751   EXPECT_EQ(APInt(32,  0), APInt(32,  "0", 36));
752   EXPECT_EQ(APInt(32,  1), APInt(32,  "1", 36));
753   EXPECT_EQ(APInt(32, 35), APInt(32,  "Z", 36));
754   EXPECT_EQ(APInt(32, 36), APInt(32, "10", 36));
755   EXPECT_EQ(APInt(32, 71), APInt(32, "1Z", 36));
756   EXPECT_EQ(APInt(32, 72), APInt(32, "20", 36));
757 
758   EXPECT_EQ(APInt(32,  uint64_t(-0LL)), APInt(32,  "-0", 36));
759   EXPECT_EQ(APInt(32,  uint64_t(-1LL)), APInt(32,  "-1", 36));
760   EXPECT_EQ(APInt(32, uint64_t(-35LL)), APInt(32,  "-Z", 36));
761   EXPECT_EQ(APInt(32, uint64_t(-36LL)), APInt(32, "-10", 36));
762   EXPECT_EQ(APInt(32, uint64_t(-71LL)), APInt(32, "-1Z", 36));
763   EXPECT_EQ(APInt(32, uint64_t(-72LL)), APInt(32, "-20", 36));
764 }
765 
766 TEST(APIntTest, FromArray) {
767   EXPECT_EQ(APInt(32, uint64_t(1)), APInt(32, ArrayRef<uint64_t>(1)));
768 }
769 
770 TEST(APIntTest, StringBitsNeeded2) {
771   EXPECT_EQ(1U, APInt::getBitsNeeded(  "0", 2));
772   EXPECT_EQ(1U, APInt::getBitsNeeded(  "1", 2));
773   EXPECT_EQ(2U, APInt::getBitsNeeded( "10", 2));
774   EXPECT_EQ(2U, APInt::getBitsNeeded( "11", 2));
775   EXPECT_EQ(3U, APInt::getBitsNeeded("100", 2));
776 
777   EXPECT_EQ(1U, APInt::getBitsNeeded(  "+0", 2));
778   EXPECT_EQ(1U, APInt::getBitsNeeded(  "+1", 2));
779   EXPECT_EQ(2U, APInt::getBitsNeeded( "+10", 2));
780   EXPECT_EQ(2U, APInt::getBitsNeeded( "+11", 2));
781   EXPECT_EQ(3U, APInt::getBitsNeeded("+100", 2));
782 
783   EXPECT_EQ(2U, APInt::getBitsNeeded(  "-0", 2));
784   EXPECT_EQ(2U, APInt::getBitsNeeded(  "-1", 2));
785   EXPECT_EQ(3U, APInt::getBitsNeeded( "-10", 2));
786   EXPECT_EQ(3U, APInt::getBitsNeeded( "-11", 2));
787   EXPECT_EQ(4U, APInt::getBitsNeeded("-100", 2));
788 }
789 
790 TEST(APIntTest, StringBitsNeeded8) {
791   EXPECT_EQ(3U, APInt::getBitsNeeded( "0", 8));
792   EXPECT_EQ(3U, APInt::getBitsNeeded( "7", 8));
793   EXPECT_EQ(6U, APInt::getBitsNeeded("10", 8));
794   EXPECT_EQ(6U, APInt::getBitsNeeded("17", 8));
795   EXPECT_EQ(6U, APInt::getBitsNeeded("20", 8));
796 
797   EXPECT_EQ(3U, APInt::getBitsNeeded( "+0", 8));
798   EXPECT_EQ(3U, APInt::getBitsNeeded( "+7", 8));
799   EXPECT_EQ(6U, APInt::getBitsNeeded("+10", 8));
800   EXPECT_EQ(6U, APInt::getBitsNeeded("+17", 8));
801   EXPECT_EQ(6U, APInt::getBitsNeeded("+20", 8));
802 
803   EXPECT_EQ(4U, APInt::getBitsNeeded( "-0", 8));
804   EXPECT_EQ(4U, APInt::getBitsNeeded( "-7", 8));
805   EXPECT_EQ(7U, APInt::getBitsNeeded("-10", 8));
806   EXPECT_EQ(7U, APInt::getBitsNeeded("-17", 8));
807   EXPECT_EQ(7U, APInt::getBitsNeeded("-20", 8));
808 }
809 
810 TEST(APIntTest, StringBitsNeeded10) {
811   EXPECT_EQ(1U, APInt::getBitsNeeded( "0", 10));
812   EXPECT_EQ(2U, APInt::getBitsNeeded( "3", 10));
813   EXPECT_EQ(4U, APInt::getBitsNeeded( "9", 10));
814   EXPECT_EQ(4U, APInt::getBitsNeeded("10", 10));
815   EXPECT_EQ(5U, APInt::getBitsNeeded("19", 10));
816   EXPECT_EQ(5U, APInt::getBitsNeeded("20", 10));
817 
818   EXPECT_EQ(1U, APInt::getBitsNeeded( "+0", 10));
819   EXPECT_EQ(4U, APInt::getBitsNeeded( "+9", 10));
820   EXPECT_EQ(4U, APInt::getBitsNeeded("+10", 10));
821   EXPECT_EQ(5U, APInt::getBitsNeeded("+19", 10));
822   EXPECT_EQ(5U, APInt::getBitsNeeded("+20", 10));
823 
824   EXPECT_EQ(2U, APInt::getBitsNeeded( "-0", 10));
825   EXPECT_EQ(5U, APInt::getBitsNeeded( "-9", 10));
826   EXPECT_EQ(5U, APInt::getBitsNeeded("-10", 10));
827   EXPECT_EQ(6U, APInt::getBitsNeeded("-19", 10));
828   EXPECT_EQ(6U, APInt::getBitsNeeded("-20", 10));
829 }
830 
831 TEST(APIntTest, StringBitsNeeded16) {
832   EXPECT_EQ(4U, APInt::getBitsNeeded( "0", 16));
833   EXPECT_EQ(4U, APInt::getBitsNeeded( "F", 16));
834   EXPECT_EQ(8U, APInt::getBitsNeeded("10", 16));
835   EXPECT_EQ(8U, APInt::getBitsNeeded("1F", 16));
836   EXPECT_EQ(8U, APInt::getBitsNeeded("20", 16));
837 
838   EXPECT_EQ(4U, APInt::getBitsNeeded( "+0", 16));
839   EXPECT_EQ(4U, APInt::getBitsNeeded( "+F", 16));
840   EXPECT_EQ(8U, APInt::getBitsNeeded("+10", 16));
841   EXPECT_EQ(8U, APInt::getBitsNeeded("+1F", 16));
842   EXPECT_EQ(8U, APInt::getBitsNeeded("+20", 16));
843 
844   EXPECT_EQ(5U, APInt::getBitsNeeded( "-0", 16));
845   EXPECT_EQ(5U, APInt::getBitsNeeded( "-F", 16));
846   EXPECT_EQ(9U, APInt::getBitsNeeded("-10", 16));
847   EXPECT_EQ(9U, APInt::getBitsNeeded("-1F", 16));
848   EXPECT_EQ(9U, APInt::getBitsNeeded("-20", 16));
849 }
850 
851 TEST(APIntTest, toString) {
852   SmallString<16> S;
853   bool isSigned;
854 
855   APInt(8, 0).toString(S, 2, true, true);
856   EXPECT_EQ(S.str().str(), "0b0");
857   S.clear();
858   APInt(8, 0).toString(S, 8, true, true);
859   EXPECT_EQ(S.str().str(), "00");
860   S.clear();
861   APInt(8, 0).toString(S, 10, true, true);
862   EXPECT_EQ(S.str().str(), "0");
863   S.clear();
864   APInt(8, 0).toString(S, 16, true, true);
865   EXPECT_EQ(S.str().str(), "0x0");
866   S.clear();
867   APInt(8, 0).toString(S, 36, true, false);
868   EXPECT_EQ(S.str().str(), "0");
869   S.clear();
870 
871   isSigned = false;
872   APInt(8, 255, isSigned).toString(S, 2, isSigned, true);
873   EXPECT_EQ(S.str().str(), "0b11111111");
874   S.clear();
875   APInt(8, 255, isSigned).toString(S, 8, isSigned, true);
876   EXPECT_EQ(S.str().str(), "0377");
877   S.clear();
878   APInt(8, 255, isSigned).toString(S, 10, isSigned, true);
879   EXPECT_EQ(S.str().str(), "255");
880   S.clear();
881   APInt(8, 255, isSigned).toString(S, 16, isSigned, true);
882   EXPECT_EQ(S.str().str(), "0xFF");
883   S.clear();
884   APInt(8, 255, isSigned).toString(S, 36, isSigned, false);
885   EXPECT_EQ(S.str().str(), "73");
886   S.clear();
887 
888   isSigned = true;
889   APInt(8, 255, isSigned).toString(S, 2, isSigned, true);
890   EXPECT_EQ(S.str().str(), "-0b1");
891   S.clear();
892   APInt(8, 255, isSigned).toString(S, 8, isSigned, true);
893   EXPECT_EQ(S.str().str(), "-01");
894   S.clear();
895   APInt(8, 255, isSigned).toString(S, 10, isSigned, true);
896   EXPECT_EQ(S.str().str(), "-1");
897   S.clear();
898   APInt(8, 255, isSigned).toString(S, 16, isSigned, true);
899   EXPECT_EQ(S.str().str(), "-0x1");
900   S.clear();
901   APInt(8, 255, isSigned).toString(S, 36, isSigned, false);
902   EXPECT_EQ(S.str().str(), "-1");
903   S.clear();
904 }
905 
906 TEST(APIntTest, Log2) {
907   EXPECT_EQ(APInt(15, 7).logBase2(), 2U);
908   EXPECT_EQ(APInt(15, 7).ceilLogBase2(), 3U);
909   EXPECT_EQ(APInt(15, 7).exactLogBase2(), -1);
910   EXPECT_EQ(APInt(15, 8).logBase2(), 3U);
911   EXPECT_EQ(APInt(15, 8).ceilLogBase2(), 3U);
912   EXPECT_EQ(APInt(15, 8).exactLogBase2(), 3);
913   EXPECT_EQ(APInt(15, 9).logBase2(), 3U);
914   EXPECT_EQ(APInt(15, 9).ceilLogBase2(), 4U);
915   EXPECT_EQ(APInt(15, 9).exactLogBase2(), -1);
916 }
917 
918 TEST(APIntTest, magic) {
919   EXPECT_EQ(APInt(32, 3).magic().m, APInt(32, "55555556", 16));
920   EXPECT_EQ(APInt(32, 3).magic().s, 0U);
921   EXPECT_EQ(APInt(32, 5).magic().m, APInt(32, "66666667", 16));
922   EXPECT_EQ(APInt(32, 5).magic().s, 1U);
923   EXPECT_EQ(APInt(32, 7).magic().m, APInt(32, "92492493", 16));
924   EXPECT_EQ(APInt(32, 7).magic().s, 2U);
925 }
926 
927 TEST(APIntTest, magicu) {
928   EXPECT_EQ(APInt(32, 3).magicu().m, APInt(32, "AAAAAAAB", 16));
929   EXPECT_EQ(APInt(32, 3).magicu().s, 1U);
930   EXPECT_EQ(APInt(32, 5).magicu().m, APInt(32, "CCCCCCCD", 16));
931   EXPECT_EQ(APInt(32, 5).magicu().s, 2U);
932   EXPECT_EQ(APInt(32, 7).magicu().m, APInt(32, "24924925", 16));
933   EXPECT_EQ(APInt(32, 7).magicu().s, 3U);
934   EXPECT_EQ(APInt(64, 25).magicu(1).m, APInt(64, "A3D70A3D70A3D70B", 16));
935   EXPECT_EQ(APInt(64, 25).magicu(1).s, 4U);
936 }
937 
938 #ifdef GTEST_HAS_DEATH_TEST
939 #ifndef NDEBUG
940 TEST(APIntTest, StringDeath) {
941   EXPECT_DEATH(APInt(0, "", 0), "Bitwidth too small");
942   EXPECT_DEATH(APInt(32, "", 0), "Invalid string length");
943   EXPECT_DEATH(APInt(32, "0", 0), "Radix should be 2, 8, 10, 16, or 36!");
944   EXPECT_DEATH(APInt(32, "", 10), "Invalid string length");
945   EXPECT_DEATH(APInt(32, "-", 10), "String is only a sign, needs a value.");
946   EXPECT_DEATH(APInt(1, "1234", 10), "Insufficient bit width");
947   EXPECT_DEATH(APInt(32, "\0", 10), "Invalid string length");
948   EXPECT_DEATH(APInt(32, StringRef("1\02", 3), 10), "Invalid character in digit string");
949   EXPECT_DEATH(APInt(32, "1L", 10), "Invalid character in digit string");
950 }
951 #endif
952 #endif
953 
954 TEST(APIntTest, mul_clear) {
955   APInt ValA(65, -1ULL);
956   APInt ValB(65, 4);
957   APInt ValC(65, 0);
958   ValC = ValA * ValB;
959   ValA *= ValB;
960   EXPECT_EQ(ValA.toString(10, false), ValC.toString(10, false));
961 }
962 
963 TEST(APIntTest, Rotate) {
964   EXPECT_EQ(APInt(8, 1),  APInt(8, 1).rotl(0));
965   EXPECT_EQ(APInt(8, 2),  APInt(8, 1).rotl(1));
966   EXPECT_EQ(APInt(8, 4),  APInt(8, 1).rotl(2));
967   EXPECT_EQ(APInt(8, 16), APInt(8, 1).rotl(4));
968   EXPECT_EQ(APInt(8, 1),  APInt(8, 1).rotl(8));
969 
970   EXPECT_EQ(APInt(8, 16), APInt(8, 16).rotl(0));
971   EXPECT_EQ(APInt(8, 32), APInt(8, 16).rotl(1));
972   EXPECT_EQ(APInt(8, 64), APInt(8, 16).rotl(2));
973   EXPECT_EQ(APInt(8, 1),  APInt(8, 16).rotl(4));
974   EXPECT_EQ(APInt(8, 16), APInt(8, 16).rotl(8));
975 
976   EXPECT_EQ(APInt(8, 16), APInt(8, 16).rotr(0));
977   EXPECT_EQ(APInt(8, 8),  APInt(8, 16).rotr(1));
978   EXPECT_EQ(APInt(8, 4),  APInt(8, 16).rotr(2));
979   EXPECT_EQ(APInt(8, 1),  APInt(8, 16).rotr(4));
980   EXPECT_EQ(APInt(8, 16), APInt(8, 16).rotr(8));
981 
982   EXPECT_EQ(APInt(8, 1),   APInt(8, 1).rotr(0));
983   EXPECT_EQ(APInt(8, 128), APInt(8, 1).rotr(1));
984   EXPECT_EQ(APInt(8, 64),  APInt(8, 1).rotr(2));
985   EXPECT_EQ(APInt(8, 16),  APInt(8, 1).rotr(4));
986   EXPECT_EQ(APInt(8, 1),   APInt(8, 1).rotr(8));
987 
988   APInt Big(256, "00004000800000000000000000003fff8000000000000000", 16);
989   APInt Rot(256, "3fff80000000000000000000000000000000000040008000", 16);
990   EXPECT_EQ(Rot, Big.rotr(144));
991 }
992 
993 TEST(APIntTest, Splat) {
994   APInt ValA(8, 0x01);
995   EXPECT_EQ(ValA, APInt::getSplat(8, ValA));
996   EXPECT_EQ(APInt(64, 0x0101010101010101ULL), APInt::getSplat(64, ValA));
997 
998   APInt ValB(3, 5);
999   EXPECT_EQ(APInt(4, 0xD), APInt::getSplat(4, ValB));
1000   EXPECT_EQ(APInt(15, 0xDB6D), APInt::getSplat(15, ValB));
1001 }
1002 
1003 TEST(APIntTest, tcDecrement) {
1004   // Test single word decrement.
1005 
1006   // No out borrow.
1007   {
1008     integerPart singleWord = ~integerPart(0) << (integerPartWidth - 1);
1009     integerPart carry = APInt::tcDecrement(&singleWord, 1);
1010     EXPECT_EQ(carry, integerPart(0));
1011     EXPECT_EQ(singleWord, ~integerPart(0) >> 1);
1012   }
1013 
1014   // With out borrow.
1015   {
1016     integerPart singleWord = 0;
1017     integerPart carry = APInt::tcDecrement(&singleWord, 1);
1018     EXPECT_EQ(carry, integerPart(1));
1019     EXPECT_EQ(singleWord, ~integerPart(0));
1020   }
1021 
1022   // Test multiword decrement.
1023 
1024   // No across word borrow, no out borrow.
1025   {
1026     integerPart test[4] = {0x1, 0x1, 0x1, 0x1};
1027     integerPart expected[4] = {0x0, 0x1, 0x1, 0x1};
1028     APInt::tcDecrement(test, 4);
1029     EXPECT_EQ(APInt::tcCompare(test, expected, 4), 0);
1030   }
1031 
1032   // 1 across word borrow, no out borrow.
1033   {
1034     integerPart test[4] = {0x0, 0xF, 0x1, 0x1};
1035     integerPart expected[4] = {~integerPart(0), 0xE, 0x1, 0x1};
1036     integerPart carry = APInt::tcDecrement(test, 4);
1037     EXPECT_EQ(carry, integerPart(0));
1038     EXPECT_EQ(APInt::tcCompare(test, expected, 4), 0);
1039   }
1040 
1041   // 2 across word borrow, no out borrow.
1042   {
1043     integerPart test[4] = {0x0, 0x0, 0xC, 0x1};
1044     integerPart expected[4] = {~integerPart(0), ~integerPart(0), 0xB, 0x1};
1045     integerPart carry = APInt::tcDecrement(test, 4);
1046     EXPECT_EQ(carry, integerPart(0));
1047     EXPECT_EQ(APInt::tcCompare(test, expected, 4), 0);
1048   }
1049 
1050   // 3 across word borrow, no out borrow.
1051   {
1052     integerPart test[4] = {0x0, 0x0, 0x0, 0x1};
1053     integerPart expected[4] = {~integerPart(0), ~integerPart(0), ~integerPart(0), 0x0};
1054     integerPart carry = APInt::tcDecrement(test, 4);
1055     EXPECT_EQ(carry, integerPart(0));
1056     EXPECT_EQ(APInt::tcCompare(test, expected, 4), 0);
1057   }
1058 
1059   // 3 across word borrow, with out borrow.
1060   {
1061     integerPart test[4] = {0x0, 0x0, 0x0, 0x0};
1062     integerPart expected[4] = {~integerPart(0), ~integerPart(0), ~integerPart(0), ~integerPart(0)};
1063     integerPart carry = APInt::tcDecrement(test, 4);
1064     EXPECT_EQ(carry, integerPart(1));
1065     EXPECT_EQ(APInt::tcCompare(test, expected, 4), 0);
1066   }
1067 }
1068 
1069 TEST(APIntTest, arrayAccess) {
1070   // Single word check.
1071   uint64_t E1 = 0x2CA7F46BF6569915ULL;
1072   APInt A1(64, E1);
1073   for (unsigned i = 0, e = 64; i < e; ++i) {
1074     EXPECT_EQ(bool(E1 & (1ULL << i)),
1075               A1[i]);
1076   }
1077 
1078   // Multiword check.
1079   integerPart E2[4] = {
1080     0xEB6EB136591CBA21ULL,
1081     0x7B9358BD6A33F10AULL,
1082     0x7E7FFA5EADD8846ULL,
1083     0x305F341CA00B613DULL
1084   };
1085   APInt A2(integerPartWidth*4, E2);
1086   for (unsigned i = 0; i < 4; ++i) {
1087     for (unsigned j = 0; j < integerPartWidth; ++j) {
1088       EXPECT_EQ(bool(E2[i] & (1ULL << j)),
1089                 A2[i*integerPartWidth + j]);
1090     }
1091   }
1092 }
1093 
1094 TEST(APIntTest, LargeAPIntConstruction) {
1095   // Check that we can properly construct very large APInt. It is very
1096   // unlikely that people will ever do this, but it is a legal input,
1097   // so we should not crash on it.
1098   APInt A9(UINT32_MAX, 0);
1099   EXPECT_FALSE(A9.getBoolValue());
1100 }
1101 
1102 TEST(APIntTest, nearestLogBase2) {
1103   // Single word check.
1104 
1105   // Test round up.
1106   uint64_t I1 = 0x1800001;
1107   APInt A1(64, I1);
1108   EXPECT_EQ(A1.nearestLogBase2(), A1.ceilLogBase2());
1109 
1110   // Test round down.
1111   uint64_t I2 = 0x1000011;
1112   APInt A2(64, I2);
1113   EXPECT_EQ(A2.nearestLogBase2(), A2.logBase2());
1114 
1115   // Test ties round up.
1116   uint64_t I3 = 0x1800000;
1117   APInt A3(64, I3);
1118   EXPECT_EQ(A3.nearestLogBase2(), A3.ceilLogBase2());
1119 
1120   // Multiple word check.
1121 
1122   // Test round up.
1123   integerPart I4[4] = {0x0, 0xF, 0x18, 0x0};
1124   APInt A4(integerPartWidth*4, I4);
1125   EXPECT_EQ(A4.nearestLogBase2(), A4.ceilLogBase2());
1126 
1127   // Test round down.
1128   integerPart I5[4] = {0x0, 0xF, 0x10, 0x0};
1129   APInt A5(integerPartWidth*4, I5);
1130   EXPECT_EQ(A5.nearestLogBase2(), A5.logBase2());
1131 
1132   // Test ties round up.
1133   uint64_t I6[4] = {0x0, 0x0, 0x0, 0x18};
1134   APInt A6(integerPartWidth*4, I6);
1135   EXPECT_EQ(A6.nearestLogBase2(), A6.ceilLogBase2());
1136 
1137   // Test BitWidth == 1 special cases.
1138   APInt A7(1, 1);
1139   EXPECT_EQ(A7.nearestLogBase2(), 0ULL);
1140   APInt A8(1, 0);
1141   EXPECT_EQ(A8.nearestLogBase2(), UINT32_MAX);
1142 
1143   // Test the zero case when we have a bit width large enough such
1144   // that the bit width is larger than UINT32_MAX-1.
1145   APInt A9(UINT32_MAX, 0);
1146   EXPECT_EQ(A9.nearestLogBase2(), UINT32_MAX);
1147 }
1148 
1149 TEST(APIntTest, IsSplat) {
1150   APInt A(32, 0x01010101);
1151   EXPECT_FALSE(A.isSplat(1));
1152   EXPECT_FALSE(A.isSplat(2));
1153   EXPECT_FALSE(A.isSplat(4));
1154   EXPECT_TRUE(A.isSplat(8));
1155   EXPECT_TRUE(A.isSplat(16));
1156   EXPECT_TRUE(A.isSplat(32));
1157 
1158   APInt B(24, 0xAAAAAA);
1159   EXPECT_FALSE(B.isSplat(1));
1160   EXPECT_TRUE(B.isSplat(2));
1161   EXPECT_TRUE(B.isSplat(4));
1162   EXPECT_TRUE(B.isSplat(8));
1163   EXPECT_TRUE(B.isSplat(24));
1164 
1165   APInt C(24, 0xABAAAB);
1166   EXPECT_FALSE(C.isSplat(1));
1167   EXPECT_FALSE(C.isSplat(2));
1168   EXPECT_FALSE(C.isSplat(4));
1169   EXPECT_FALSE(C.isSplat(8));
1170   EXPECT_TRUE(C.isSplat(24));
1171 
1172   APInt D(32, 0xABBAABBA);
1173   EXPECT_FALSE(D.isSplat(1));
1174   EXPECT_FALSE(D.isSplat(2));
1175   EXPECT_FALSE(D.isSplat(4));
1176   EXPECT_FALSE(D.isSplat(8));
1177   EXPECT_TRUE(D.isSplat(16));
1178   EXPECT_TRUE(D.isSplat(32));
1179 
1180   APInt E(32, 0);
1181   EXPECT_TRUE(E.isSplat(1));
1182   EXPECT_TRUE(E.isSplat(2));
1183   EXPECT_TRUE(E.isSplat(4));
1184   EXPECT_TRUE(E.isSplat(8));
1185   EXPECT_TRUE(E.isSplat(16));
1186   EXPECT_TRUE(E.isSplat(32));
1187 }
1188 
1189 TEST(APIntTest, isMask) {
1190   EXPECT_FALSE(APIntOps::isMask(APInt(32, 0x01010101)));
1191   EXPECT_FALSE(APIntOps::isMask(APInt(32, 0xf0000000)));
1192   EXPECT_FALSE(APIntOps::isMask(APInt(32, 0xffff0000)));
1193   EXPECT_FALSE(APIntOps::isMask(APInt(32, 0xff << 1)));
1194 
1195   for (int N : { 1, 2, 3, 4, 7, 8, 16, 32, 64, 127, 128, 129, 256 }) {
1196     EXPECT_FALSE(APIntOps::isMask(APInt(N, 0)));
1197 
1198     APInt One(N, 1);
1199     for (int I = 1; I <= N; ++I) {
1200       APInt MaskVal = One.shl(I) - 1;
1201       EXPECT_TRUE(APIntOps::isMask(MaskVal));
1202     }
1203   }
1204 }
1205 
1206 #if defined(__clang__)
1207 // Disable the pragma warning from versions of Clang without -Wself-move
1208 #pragma clang diagnostic push
1209 #pragma clang diagnostic ignored "-Wunknown-pragmas"
1210 // Disable the warning that triggers on exactly what is being tested.
1211 #pragma clang diagnostic push
1212 #pragma clang diagnostic ignored "-Wself-move"
1213 #endif
1214 TEST(APIntTest, SelfMoveAssignment) {
1215   APInt X(32, 0xdeadbeef);
1216   X = std::move(X);
1217   EXPECT_EQ(32u, X.getBitWidth());
1218   EXPECT_EQ(0xdeadbeefULL, X.getLimitedValue());
1219 
1220   uint64_t Bits[] = {0xdeadbeefdeadbeefULL, 0xdeadbeefdeadbeefULL};
1221   APInt Y(128, Bits);
1222   Y = std::move(Y);
1223   EXPECT_EQ(128u, Y.getBitWidth());
1224   EXPECT_EQ(~0ULL, Y.getLimitedValue());
1225   const uint64_t *Raw = Y.getRawData();
1226   EXPECT_EQ(2u, Y.getNumWords());
1227   EXPECT_EQ(0xdeadbeefdeadbeefULL, Raw[0]);
1228   EXPECT_EQ(0xdeadbeefdeadbeefULL, Raw[1]);
1229 }
1230 #if defined(__clang__)
1231 #pragma clang diagnostic pop
1232 #pragma clang diagnostic pop
1233 #endif
1234 }
1235 
1236 TEST(APIntTest, reverseBits) {
1237   EXPECT_EQ(1, APInt(1, 1).reverseBits());
1238   EXPECT_EQ(0, APInt(1, 0).reverseBits());
1239 
1240   EXPECT_EQ(3, APInt(2, 3).reverseBits());
1241   EXPECT_EQ(3, APInt(2, 3).reverseBits());
1242 
1243   EXPECT_EQ(0xb, APInt(4, 0xd).reverseBits());
1244   EXPECT_EQ(0xd, APInt(4, 0xb).reverseBits());
1245   EXPECT_EQ(0xf, APInt(4, 0xf).reverseBits());
1246 
1247   EXPECT_EQ(0x30, APInt(7, 0x6).reverseBits());
1248   EXPECT_EQ(0x5a, APInt(7, 0x2d).reverseBits());
1249 
1250   EXPECT_EQ(0x0f, APInt(8, 0xf0).reverseBits());
1251   EXPECT_EQ(0xf0, APInt(8, 0x0f).reverseBits());
1252 
1253   EXPECT_EQ(0x0f0f, APInt(16, 0xf0f0).reverseBits());
1254   EXPECT_EQ(0xf0f0, APInt(16, 0x0f0f).reverseBits());
1255 
1256   EXPECT_EQ(0x0f0f0f0f, APInt(32, 0xf0f0f0f0).reverseBits());
1257   EXPECT_EQ(0xf0f0f0f0, APInt(32, 0x0f0f0f0f).reverseBits());
1258 
1259   EXPECT_EQ(0x402880a0 >> 1, APInt(31, 0x05011402).reverseBits());
1260 
1261   EXPECT_EQ(0x0f0f0f0f, APInt(32, 0xf0f0f0f0).reverseBits());
1262   EXPECT_EQ(0xf0f0f0f0, APInt(32, 0x0f0f0f0f).reverseBits());
1263 
1264   EXPECT_EQ(0x0f0f0f0f0f0f0f0f, APInt(64, 0xf0f0f0f0f0f0f0f0).reverseBits());
1265   EXPECT_EQ(0xf0f0f0f0f0f0f0f0, APInt(64, 0x0f0f0f0f0f0f0f0f).reverseBits());
1266 
1267   for (unsigned N : { 1, 8, 16, 24, 31, 32, 33,
1268                       63, 64, 65, 127, 128, 257, 1024 }) {
1269     for (unsigned I = 0; I < N; ++I) {
1270       APInt X = APInt::getOneBitSet(N, I);
1271       APInt Y = APInt::getOneBitSet(N, N - (I + 1));
1272       EXPECT_EQ(Y, X.reverseBits());
1273       EXPECT_EQ(X, Y.reverseBits());
1274     }
1275   }
1276 }
1277