xref: /llvm-project/llvm/unittests/ADT/APIntTest.cpp (revision b6a01caa64aaac2e5db8d7953a81cbe1a139b81f)
1 //===- llvm/unittest/ADT/APInt.cpp - APInt unit tests ---------------------===//
2 //
3 // Part of the LLVM Project, under the Apache License v2.0 with LLVM Exceptions.
4 // See https://llvm.org/LICENSE.txt for license information.
5 // SPDX-License-Identifier: Apache-2.0 WITH LLVM-exception
6 //
7 //===----------------------------------------------------------------------===//
8 
9 #include "llvm/ADT/APInt.h"
10 #include "llvm/ADT/ArrayRef.h"
11 #include "llvm/ADT/DenseMap.h"
12 #include "llvm/ADT/SmallString.h"
13 #include "llvm/ADT/Twine.h"
14 #include "gtest/gtest.h"
15 #include <array>
16 
17 using namespace llvm;
18 
19 namespace {
20 
21 TEST(APIntTest, ValueInit) {
22   APInt Zero = APInt();
23   EXPECT_TRUE(!Zero);
24   EXPECT_TRUE(!Zero.zext(64));
25   EXPECT_TRUE(!Zero.sext(64));
26 }
27 
28 // Test that APInt shift left works when bitwidth > 64 and shiftamt == 0
29 TEST(APIntTest, ShiftLeftByZero) {
30   APInt One = APInt::getZero(65) + 1;
31   APInt Shl = One.shl(0);
32   EXPECT_TRUE(Shl[0]);
33   EXPECT_FALSE(Shl[1]);
34 }
35 
36 TEST(APIntTest, i64_ArithmeticRightShiftNegative) {
37   const APInt neg_one(64, static_cast<uint64_t>(-1), true);
38   EXPECT_EQ(neg_one, neg_one.ashr(7));
39 }
40 
41 TEST(APIntTest, i128_NegativeCount) {
42   APInt Minus3(128, static_cast<uint64_t>(-3), true);
43   EXPECT_EQ(126u, Minus3.countLeadingOnes());
44   EXPECT_EQ(-3, Minus3.getSExtValue());
45 
46   APInt Minus1(128, static_cast<uint64_t>(-1), true);
47   EXPECT_EQ(0u, Minus1.countLeadingZeros());
48   EXPECT_EQ(128u, Minus1.countLeadingOnes());
49   EXPECT_EQ(128u, Minus1.getActiveBits());
50   EXPECT_EQ(0u, Minus1.countTrailingZeros());
51   EXPECT_EQ(128u, Minus1.countTrailingOnes());
52   EXPECT_EQ(128u, Minus1.countPopulation());
53   EXPECT_EQ(-1, Minus1.getSExtValue());
54 }
55 
56 TEST(APIntTest, i33_Count) {
57   APInt i33minus2(33, static_cast<uint64_t>(-2), true);
58   EXPECT_EQ(0u, i33minus2.countLeadingZeros());
59   EXPECT_EQ(32u, i33minus2.countLeadingOnes());
60   EXPECT_EQ(33u, i33minus2.getActiveBits());
61   EXPECT_EQ(1u, i33minus2.countTrailingZeros());
62   EXPECT_EQ(32u, i33minus2.countPopulation());
63   EXPECT_EQ(-2, i33minus2.getSExtValue());
64   EXPECT_EQ(((uint64_t)-2)&((1ull<<33) -1), i33minus2.getZExtValue());
65 }
66 
67 TEST(APIntTest, i61_Count) {
68   APInt i61(61, 1 << 15);
69   EXPECT_EQ(45u, i61.countLeadingZeros());
70   EXPECT_EQ(0u, i61.countLeadingOnes());
71   EXPECT_EQ(16u, i61.getActiveBits());
72   EXPECT_EQ(15u, i61.countTrailingZeros());
73   EXPECT_EQ(1u, i61.countPopulation());
74   EXPECT_EQ(static_cast<int64_t>(1 << 15), i61.getSExtValue());
75   EXPECT_EQ(static_cast<uint64_t>(1 << 15), i61.getZExtValue());
76 
77   i61.setBits(8, 19);
78   EXPECT_EQ(42u, i61.countLeadingZeros());
79   EXPECT_EQ(0u, i61.countLeadingOnes());
80   EXPECT_EQ(19u, i61.getActiveBits());
81   EXPECT_EQ(8u, i61.countTrailingZeros());
82   EXPECT_EQ(11u, i61.countPopulation());
83   EXPECT_EQ(static_cast<int64_t>((1 << 19) - (1 << 8)), i61.getSExtValue());
84   EXPECT_EQ(static_cast<uint64_t>((1 << 19) - (1 << 8)), i61.getZExtValue());
85 }
86 
87 TEST(APIntTest, i65_Count) {
88   APInt i65(65, 0, true);
89   EXPECT_EQ(65u, i65.countLeadingZeros());
90   EXPECT_EQ(0u, i65.countLeadingOnes());
91   EXPECT_EQ(0u, i65.getActiveBits());
92   EXPECT_EQ(1u, i65.getActiveWords());
93   EXPECT_EQ(65u, i65.countTrailingZeros());
94   EXPECT_EQ(0u, i65.countPopulation());
95 
96   APInt i65minus(65, 0, true);
97   i65minus.setBit(64);
98   EXPECT_EQ(0u, i65minus.countLeadingZeros());
99   EXPECT_EQ(1u, i65minus.countLeadingOnes());
100   EXPECT_EQ(65u, i65minus.getActiveBits());
101   EXPECT_EQ(64u, i65minus.countTrailingZeros());
102   EXPECT_EQ(1u, i65minus.countPopulation());
103 }
104 
105 TEST(APIntTest, i128_PositiveCount) {
106   APInt u128max = APInt::getAllOnes(128);
107   EXPECT_EQ(128u, u128max.countLeadingOnes());
108   EXPECT_EQ(0u, u128max.countLeadingZeros());
109   EXPECT_EQ(128u, u128max.getActiveBits());
110   EXPECT_EQ(0u, u128max.countTrailingZeros());
111   EXPECT_EQ(128u, u128max.countTrailingOnes());
112   EXPECT_EQ(128u, u128max.countPopulation());
113 
114   APInt u64max(128, static_cast<uint64_t>(-1), false);
115   EXPECT_EQ(64u, u64max.countLeadingZeros());
116   EXPECT_EQ(0u, u64max.countLeadingOnes());
117   EXPECT_EQ(64u, u64max.getActiveBits());
118   EXPECT_EQ(0u, u64max.countTrailingZeros());
119   EXPECT_EQ(64u, u64max.countTrailingOnes());
120   EXPECT_EQ(64u, u64max.countPopulation());
121   EXPECT_EQ((uint64_t)~0ull, u64max.getZExtValue());
122 
123   APInt zero(128, 0, true);
124   EXPECT_EQ(128u, zero.countLeadingZeros());
125   EXPECT_EQ(0u, zero.countLeadingOnes());
126   EXPECT_EQ(0u, zero.getActiveBits());
127   EXPECT_EQ(128u, zero.countTrailingZeros());
128   EXPECT_EQ(0u, zero.countTrailingOnes());
129   EXPECT_EQ(0u, zero.countPopulation());
130   EXPECT_EQ(0u, zero.getSExtValue());
131   EXPECT_EQ(0u, zero.getZExtValue());
132 
133   APInt one(128, 1, true);
134   EXPECT_EQ(127u, one.countLeadingZeros());
135   EXPECT_EQ(0u, one.countLeadingOnes());
136   EXPECT_EQ(1u, one.getActiveBits());
137   EXPECT_EQ(0u, one.countTrailingZeros());
138   EXPECT_EQ(1u, one.countTrailingOnes());
139   EXPECT_EQ(1u, one.countPopulation());
140   EXPECT_EQ(1, one.getSExtValue());
141   EXPECT_EQ(1u, one.getZExtValue());
142 
143   APInt s128(128, 2, true);
144   EXPECT_EQ(126u, s128.countLeadingZeros());
145   EXPECT_EQ(0u, s128.countLeadingOnes());
146   EXPECT_EQ(2u, s128.getActiveBits());
147   EXPECT_EQ(1u, s128.countTrailingZeros());
148   EXPECT_EQ(0u, s128.countTrailingOnes());
149   EXPECT_EQ(1u, s128.countPopulation());
150   EXPECT_EQ(2, s128.getSExtValue());
151   EXPECT_EQ(2u, s128.getZExtValue());
152 
153   // NOP Test
154   s128.setBits(42, 42);
155   EXPECT_EQ(126u, s128.countLeadingZeros());
156   EXPECT_EQ(0u, s128.countLeadingOnes());
157   EXPECT_EQ(2u, s128.getActiveBits());
158   EXPECT_EQ(1u, s128.countTrailingZeros());
159   EXPECT_EQ(0u, s128.countTrailingOnes());
160   EXPECT_EQ(1u, s128.countPopulation());
161   EXPECT_EQ(2, s128.getSExtValue());
162   EXPECT_EQ(2u, s128.getZExtValue());
163 
164   s128.setBits(3, 32);
165   EXPECT_EQ(96u, s128.countLeadingZeros());
166   EXPECT_EQ(0u, s128.countLeadingOnes());
167   EXPECT_EQ(32u, s128.getActiveBits());
168   EXPECT_EQ(33u, s128.getMinSignedBits());
169   EXPECT_EQ(1u, s128.countTrailingZeros());
170   EXPECT_EQ(0u, s128.countTrailingOnes());
171   EXPECT_EQ(30u, s128.countPopulation());
172   EXPECT_EQ(static_cast<uint32_t>((~0u << 3) | 2), s128.getZExtValue());
173 
174   s128.setBits(62, 128);
175   EXPECT_EQ(0u, s128.countLeadingZeros());
176   EXPECT_EQ(66u, s128.countLeadingOnes());
177   EXPECT_EQ(128u, s128.getActiveBits());
178   EXPECT_EQ(63u, s128.getMinSignedBits());
179   EXPECT_EQ(1u, s128.countTrailingZeros());
180   EXPECT_EQ(0u, s128.countTrailingOnes());
181   EXPECT_EQ(96u, s128.countPopulation());
182   EXPECT_EQ(static_cast<int64_t>((3ull << 62) |
183                                  static_cast<uint32_t>((~0u << 3) | 2)),
184             s128.getSExtValue());
185 }
186 
187 TEST(APIntTest, i256) {
188   APInt s256(256, 15, true);
189   EXPECT_EQ(252u, s256.countLeadingZeros());
190   EXPECT_EQ(0u, s256.countLeadingOnes());
191   EXPECT_EQ(4u, s256.getActiveBits());
192   EXPECT_EQ(0u, s256.countTrailingZeros());
193   EXPECT_EQ(4u, s256.countTrailingOnes());
194   EXPECT_EQ(4u, s256.countPopulation());
195   EXPECT_EQ(15, s256.getSExtValue());
196   EXPECT_EQ(15u, s256.getZExtValue());
197 
198   s256.setBits(62, 66);
199   EXPECT_EQ(190u, s256.countLeadingZeros());
200   EXPECT_EQ(0u, s256.countLeadingOnes());
201   EXPECT_EQ(66u, s256.getActiveBits());
202   EXPECT_EQ(67u, s256.getMinSignedBits());
203   EXPECT_EQ(0u, s256.countTrailingZeros());
204   EXPECT_EQ(4u, s256.countTrailingOnes());
205   EXPECT_EQ(8u, s256.countPopulation());
206 
207   s256.setBits(60, 256);
208   EXPECT_EQ(0u, s256.countLeadingZeros());
209   EXPECT_EQ(196u, s256.countLeadingOnes());
210   EXPECT_EQ(256u, s256.getActiveBits());
211   EXPECT_EQ(61u, s256.getMinSignedBits());
212   EXPECT_EQ(0u, s256.countTrailingZeros());
213   EXPECT_EQ(4u, s256.countTrailingOnes());
214   EXPECT_EQ(200u, s256.countPopulation());
215   EXPECT_EQ(static_cast<int64_t>((~0ull << 60) | 15), s256.getSExtValue());
216 }
217 
218 TEST(APIntTest, i1) {
219   const APInt neg_two(1, static_cast<uint64_t>(-2), true);
220   const APInt neg_one(1, static_cast<uint64_t>(-1), true);
221   const APInt zero(1, 0);
222   const APInt one(1, 1);
223   const APInt two(1, 2);
224 
225   EXPECT_EQ(0, neg_two.getSExtValue());
226   EXPECT_EQ(-1, neg_one.getSExtValue());
227   EXPECT_EQ(1u, neg_one.getZExtValue());
228   EXPECT_EQ(0u, zero.getZExtValue());
229   EXPECT_EQ(-1, one.getSExtValue());
230   EXPECT_EQ(1u, one.getZExtValue());
231   EXPECT_EQ(0u, two.getZExtValue());
232   EXPECT_EQ(0, two.getSExtValue());
233 
234   // Basic equalities for 1-bit values.
235   EXPECT_EQ(zero, two);
236   EXPECT_EQ(zero, neg_two);
237   EXPECT_EQ(one, neg_one);
238   EXPECT_EQ(two, neg_two);
239 
240   // Min/max signed values.
241   EXPECT_TRUE(zero.isMaxSignedValue());
242   EXPECT_FALSE(one.isMaxSignedValue());
243   EXPECT_FALSE(zero.isMinSignedValue());
244   EXPECT_TRUE(one.isMinSignedValue());
245 
246   // Additions.
247   EXPECT_EQ(two, one + one);
248   EXPECT_EQ(zero, neg_one + one);
249   EXPECT_EQ(neg_two, neg_one + neg_one);
250 
251   // Subtractions.
252   EXPECT_EQ(neg_two, neg_one - one);
253   EXPECT_EQ(two, one - neg_one);
254   EXPECT_EQ(zero, one - one);
255 
256   // And
257   EXPECT_EQ(zero, zero & zero);
258   EXPECT_EQ(zero, one & zero);
259   EXPECT_EQ(zero, zero & one);
260   EXPECT_EQ(one, one & one);
261   EXPECT_EQ(zero, zero & zero);
262   EXPECT_EQ(zero, neg_one & zero);
263   EXPECT_EQ(zero, zero & neg_one);
264   EXPECT_EQ(neg_one, neg_one & neg_one);
265 
266   // Or
267   EXPECT_EQ(zero, zero | zero);
268   EXPECT_EQ(one, one | zero);
269   EXPECT_EQ(one, zero | one);
270   EXPECT_EQ(one, one | one);
271   EXPECT_EQ(zero, zero | zero);
272   EXPECT_EQ(neg_one, neg_one | zero);
273   EXPECT_EQ(neg_one, zero | neg_one);
274   EXPECT_EQ(neg_one, neg_one | neg_one);
275 
276   // Xor
277   EXPECT_EQ(zero, zero ^ zero);
278   EXPECT_EQ(one, one ^ zero);
279   EXPECT_EQ(one, zero ^ one);
280   EXPECT_EQ(zero, one ^ one);
281   EXPECT_EQ(zero, zero ^ zero);
282   EXPECT_EQ(neg_one, neg_one ^ zero);
283   EXPECT_EQ(neg_one, zero ^ neg_one);
284   EXPECT_EQ(zero, neg_one ^ neg_one);
285 
286   // Shifts.
287   EXPECT_EQ(zero, one << one);
288   EXPECT_EQ(one, one << zero);
289   EXPECT_EQ(zero, one.shl(1));
290   EXPECT_EQ(one, one.shl(0));
291   EXPECT_EQ(zero, one.lshr(1));
292   EXPECT_EQ(one, one.ashr(1));
293 
294   // Rotates.
295   EXPECT_EQ(one, one.rotl(0));
296   EXPECT_EQ(one, one.rotl(1));
297   EXPECT_EQ(one, one.rotr(0));
298   EXPECT_EQ(one, one.rotr(1));
299 
300   // Multiplies.
301   EXPECT_EQ(neg_one, neg_one * one);
302   EXPECT_EQ(neg_one, one * neg_one);
303   EXPECT_EQ(one, neg_one * neg_one);
304   EXPECT_EQ(one, one * one);
305 
306   // Divides.
307   EXPECT_EQ(neg_one, one.sdiv(neg_one));
308   EXPECT_EQ(neg_one, neg_one.sdiv(one));
309   EXPECT_EQ(one, neg_one.sdiv(neg_one));
310   EXPECT_EQ(one, one.sdiv(one));
311 
312   EXPECT_EQ(neg_one, one.udiv(neg_one));
313   EXPECT_EQ(neg_one, neg_one.udiv(one));
314   EXPECT_EQ(one, neg_one.udiv(neg_one));
315   EXPECT_EQ(one, one.udiv(one));
316 
317   // Remainders.
318   EXPECT_EQ(zero, neg_one.srem(one));
319   EXPECT_EQ(zero, neg_one.urem(one));
320   EXPECT_EQ(zero, one.srem(neg_one));
321 
322   // sdivrem
323   {
324   APInt q(8, 0);
325   APInt r(8, 0);
326   APInt one(8, 1);
327   APInt two(8, 2);
328   APInt nine(8, 9);
329   APInt four(8, 4);
330 
331   EXPECT_EQ(nine.srem(two), one);
332   EXPECT_EQ(nine.srem(-two), one);
333   EXPECT_EQ((-nine).srem(two), -one);
334   EXPECT_EQ((-nine).srem(-two), -one);
335 
336   APInt::sdivrem(nine, two, q, r);
337   EXPECT_EQ(four, q);
338   EXPECT_EQ(one, r);
339   APInt::sdivrem(-nine, two, q, r);
340   EXPECT_EQ(-four, q);
341   EXPECT_EQ(-one, r);
342   APInt::sdivrem(nine, -two, q, r);
343   EXPECT_EQ(-four, q);
344   EXPECT_EQ(one, r);
345   APInt::sdivrem(-nine, -two, q, r);
346   EXPECT_EQ(four, q);
347   EXPECT_EQ(-one, r);
348   }
349 }
350 
351 TEST(APIntTest, compare) {
352   std::array<APInt, 5> testVals{{
353     APInt{16, 2},
354     APInt{16, 1},
355     APInt{16, 0},
356     APInt{16, (uint64_t)-1, true},
357     APInt{16, (uint64_t)-2, true},
358   }};
359 
360   for (auto &arg1 : testVals)
361     for (auto &arg2 : testVals) {
362       auto uv1 = arg1.getZExtValue();
363       auto uv2 = arg2.getZExtValue();
364       auto sv1 = arg1.getSExtValue();
365       auto sv2 = arg2.getSExtValue();
366 
367       EXPECT_EQ(uv1 <  uv2, arg1.ult(arg2));
368       EXPECT_EQ(uv1 <= uv2, arg1.ule(arg2));
369       EXPECT_EQ(uv1 >  uv2, arg1.ugt(arg2));
370       EXPECT_EQ(uv1 >= uv2, arg1.uge(arg2));
371 
372       EXPECT_EQ(sv1 <  sv2, arg1.slt(arg2));
373       EXPECT_EQ(sv1 <= sv2, arg1.sle(arg2));
374       EXPECT_EQ(sv1 >  sv2, arg1.sgt(arg2));
375       EXPECT_EQ(sv1 >= sv2, arg1.sge(arg2));
376 
377       EXPECT_EQ(uv1 <  uv2, arg1.ult(uv2));
378       EXPECT_EQ(uv1 <= uv2, arg1.ule(uv2));
379       EXPECT_EQ(uv1 >  uv2, arg1.ugt(uv2));
380       EXPECT_EQ(uv1 >= uv2, arg1.uge(uv2));
381 
382       EXPECT_EQ(sv1 <  sv2, arg1.slt(sv2));
383       EXPECT_EQ(sv1 <= sv2, arg1.sle(sv2));
384       EXPECT_EQ(sv1 >  sv2, arg1.sgt(sv2));
385       EXPECT_EQ(sv1 >= sv2, arg1.sge(sv2));
386     }
387 }
388 
389 TEST(APIntTest, compareWithRawIntegers) {
390   EXPECT_TRUE(!APInt(8, 1).uge(256));
391   EXPECT_TRUE(!APInt(8, 1).ugt(256));
392   EXPECT_TRUE( APInt(8, 1).ule(256));
393   EXPECT_TRUE( APInt(8, 1).ult(256));
394   EXPECT_TRUE(!APInt(8, 1).sge(256));
395   EXPECT_TRUE(!APInt(8, 1).sgt(256));
396   EXPECT_TRUE( APInt(8, 1).sle(256));
397   EXPECT_TRUE( APInt(8, 1).slt(256));
398   EXPECT_TRUE(!(APInt(8, 0) == 256));
399   EXPECT_TRUE(  APInt(8, 0) != 256);
400   EXPECT_TRUE(!(APInt(8, 1) == 256));
401   EXPECT_TRUE(  APInt(8, 1) != 256);
402 
403   auto uint64max = UINT64_MAX;
404   auto int64max  = INT64_MAX;
405   auto int64min  = INT64_MIN;
406 
407   auto u64 = APInt{128, uint64max};
408   auto s64 = APInt{128, static_cast<uint64_t>(int64max), true};
409   auto big = u64 + 1;
410 
411   EXPECT_TRUE( u64.uge(uint64max));
412   EXPECT_TRUE(!u64.ugt(uint64max));
413   EXPECT_TRUE( u64.ule(uint64max));
414   EXPECT_TRUE(!u64.ult(uint64max));
415   EXPECT_TRUE( u64.sge(int64max));
416   EXPECT_TRUE( u64.sgt(int64max));
417   EXPECT_TRUE(!u64.sle(int64max));
418   EXPECT_TRUE(!u64.slt(int64max));
419   EXPECT_TRUE( u64.sge(int64min));
420   EXPECT_TRUE( u64.sgt(int64min));
421   EXPECT_TRUE(!u64.sle(int64min));
422   EXPECT_TRUE(!u64.slt(int64min));
423 
424   EXPECT_TRUE(u64 == uint64max);
425   EXPECT_TRUE(u64 != int64max);
426   EXPECT_TRUE(u64 != int64min);
427 
428   EXPECT_TRUE(!s64.uge(uint64max));
429   EXPECT_TRUE(!s64.ugt(uint64max));
430   EXPECT_TRUE( s64.ule(uint64max));
431   EXPECT_TRUE( s64.ult(uint64max));
432   EXPECT_TRUE( s64.sge(int64max));
433   EXPECT_TRUE(!s64.sgt(int64max));
434   EXPECT_TRUE( s64.sle(int64max));
435   EXPECT_TRUE(!s64.slt(int64max));
436   EXPECT_TRUE( s64.sge(int64min));
437   EXPECT_TRUE( s64.sgt(int64min));
438   EXPECT_TRUE(!s64.sle(int64min));
439   EXPECT_TRUE(!s64.slt(int64min));
440 
441   EXPECT_TRUE(s64 != uint64max);
442   EXPECT_TRUE(s64 == int64max);
443   EXPECT_TRUE(s64 != int64min);
444 
445   EXPECT_TRUE( big.uge(uint64max));
446   EXPECT_TRUE( big.ugt(uint64max));
447   EXPECT_TRUE(!big.ule(uint64max));
448   EXPECT_TRUE(!big.ult(uint64max));
449   EXPECT_TRUE( big.sge(int64max));
450   EXPECT_TRUE( big.sgt(int64max));
451   EXPECT_TRUE(!big.sle(int64max));
452   EXPECT_TRUE(!big.slt(int64max));
453   EXPECT_TRUE( big.sge(int64min));
454   EXPECT_TRUE( big.sgt(int64min));
455   EXPECT_TRUE(!big.sle(int64min));
456   EXPECT_TRUE(!big.slt(int64min));
457 
458   EXPECT_TRUE(big != uint64max);
459   EXPECT_TRUE(big != int64max);
460   EXPECT_TRUE(big != int64min);
461 }
462 
463 TEST(APIntTest, compareWithInt64Min) {
464   int64_t edge = INT64_MIN;
465   int64_t edgeP1 = edge + 1;
466   int64_t edgeM1 = INT64_MAX;
467   auto a = APInt{64, static_cast<uint64_t>(edge), true};
468 
469   EXPECT_TRUE(!a.slt(edge));
470   EXPECT_TRUE( a.sle(edge));
471   EXPECT_TRUE(!a.sgt(edge));
472   EXPECT_TRUE( a.sge(edge));
473   EXPECT_TRUE( a.slt(edgeP1));
474   EXPECT_TRUE( a.sle(edgeP1));
475   EXPECT_TRUE(!a.sgt(edgeP1));
476   EXPECT_TRUE(!a.sge(edgeP1));
477   EXPECT_TRUE( a.slt(edgeM1));
478   EXPECT_TRUE( a.sle(edgeM1));
479   EXPECT_TRUE(!a.sgt(edgeM1));
480   EXPECT_TRUE(!a.sge(edgeM1));
481 }
482 
483 TEST(APIntTest, compareWithHalfInt64Max) {
484   uint64_t edge = 0x4000000000000000;
485   uint64_t edgeP1 = edge + 1;
486   uint64_t edgeM1 = edge - 1;
487   auto a = APInt{64, edge};
488 
489   EXPECT_TRUE(!a.ult(edge));
490   EXPECT_TRUE( a.ule(edge));
491   EXPECT_TRUE(!a.ugt(edge));
492   EXPECT_TRUE( a.uge(edge));
493   EXPECT_TRUE( a.ult(edgeP1));
494   EXPECT_TRUE( a.ule(edgeP1));
495   EXPECT_TRUE(!a.ugt(edgeP1));
496   EXPECT_TRUE(!a.uge(edgeP1));
497   EXPECT_TRUE(!a.ult(edgeM1));
498   EXPECT_TRUE(!a.ule(edgeM1));
499   EXPECT_TRUE( a.ugt(edgeM1));
500   EXPECT_TRUE( a.uge(edgeM1));
501 
502   EXPECT_TRUE(!a.slt(edge));
503   EXPECT_TRUE( a.sle(edge));
504   EXPECT_TRUE(!a.sgt(edge));
505   EXPECT_TRUE( a.sge(edge));
506   EXPECT_TRUE( a.slt(edgeP1));
507   EXPECT_TRUE( a.sle(edgeP1));
508   EXPECT_TRUE(!a.sgt(edgeP1));
509   EXPECT_TRUE(!a.sge(edgeP1));
510   EXPECT_TRUE(!a.slt(edgeM1));
511   EXPECT_TRUE(!a.sle(edgeM1));
512   EXPECT_TRUE( a.sgt(edgeM1));
513   EXPECT_TRUE( a.sge(edgeM1));
514 }
515 
516 TEST(APIntTest, compareLargeIntegers) {
517   // Make sure all the combinations of signed comparisons work with big ints.
518   auto One = APInt{128, static_cast<uint64_t>(1), true};
519   auto Two = APInt{128, static_cast<uint64_t>(2), true};
520   auto MinusOne = APInt{128, static_cast<uint64_t>(-1), true};
521   auto MinusTwo = APInt{128, static_cast<uint64_t>(-2), true};
522 
523   EXPECT_TRUE(!One.slt(One));
524   EXPECT_TRUE(!Two.slt(One));
525   EXPECT_TRUE(MinusOne.slt(One));
526   EXPECT_TRUE(MinusTwo.slt(One));
527 
528   EXPECT_TRUE(One.slt(Two));
529   EXPECT_TRUE(!Two.slt(Two));
530   EXPECT_TRUE(MinusOne.slt(Two));
531   EXPECT_TRUE(MinusTwo.slt(Two));
532 
533   EXPECT_TRUE(!One.slt(MinusOne));
534   EXPECT_TRUE(!Two.slt(MinusOne));
535   EXPECT_TRUE(!MinusOne.slt(MinusOne));
536   EXPECT_TRUE(MinusTwo.slt(MinusOne));
537 
538   EXPECT_TRUE(!One.slt(MinusTwo));
539   EXPECT_TRUE(!Two.slt(MinusTwo));
540   EXPECT_TRUE(!MinusOne.slt(MinusTwo));
541   EXPECT_TRUE(!MinusTwo.slt(MinusTwo));
542 }
543 
544 TEST(APIntTest, binaryOpsWithRawIntegers) {
545   // Single word check.
546   uint64_t E1 = 0x2CA7F46BF6569915ULL;
547   APInt A1(64, E1);
548 
549   EXPECT_EQ(A1 & E1, E1);
550   EXPECT_EQ(A1 & 0, 0);
551   EXPECT_EQ(A1 & 1, 1);
552   EXPECT_EQ(A1 & 5, 5);
553   EXPECT_EQ(A1 & UINT64_MAX, E1);
554 
555   EXPECT_EQ(A1 | E1, E1);
556   EXPECT_EQ(A1 | 0, E1);
557   EXPECT_EQ(A1 | 1, E1);
558   EXPECT_EQ(A1 | 2, E1 | 2);
559   EXPECT_EQ(A1 | UINT64_MAX, UINT64_MAX);
560 
561   EXPECT_EQ(A1 ^ E1, 0);
562   EXPECT_EQ(A1 ^ 0, E1);
563   EXPECT_EQ(A1 ^ 1, E1 ^ 1);
564   EXPECT_EQ(A1 ^ 7, E1 ^ 7);
565   EXPECT_EQ(A1 ^ UINT64_MAX, ~E1);
566 
567   // Multiword check.
568   uint64_t N = 0xEB6EB136591CBA21ULL;
569   APInt::WordType E2[4] = {
570     N,
571     0x7B9358BD6A33F10AULL,
572     0x7E7FFA5EADD8846ULL,
573     0x305F341CA00B613DULL
574   };
575   APInt A2(APInt::APINT_BITS_PER_WORD*4, E2);
576 
577   EXPECT_EQ(A2 & N, N);
578   EXPECT_EQ(A2 & 0, 0);
579   EXPECT_EQ(A2 & 1, 1);
580   EXPECT_EQ(A2 & 5, 1);
581   EXPECT_EQ(A2 & UINT64_MAX, N);
582 
583   EXPECT_EQ(A2 | N, A2);
584   EXPECT_EQ(A2 | 0, A2);
585   EXPECT_EQ(A2 | 1, A2);
586   EXPECT_EQ(A2 | 2, A2 + 2);
587   EXPECT_EQ(A2 | UINT64_MAX, A2 - N + UINT64_MAX);
588 
589   EXPECT_EQ(A2 ^ N, A2 - N);
590   EXPECT_EQ(A2 ^ 0, A2);
591   EXPECT_EQ(A2 ^ 1, A2 - 1);
592   EXPECT_EQ(A2 ^ 7, A2 + 5);
593   EXPECT_EQ(A2 ^ UINT64_MAX, A2 - N + ~N);
594 }
595 
596 TEST(APIntTest, rvalue_arithmetic) {
597   // Test all combinations of lvalue/rvalue lhs/rhs of add/sub
598 
599   // Lamdba to return an APInt by value, but also provide the raw value of the
600   // allocated data.
601   auto getRValue = [](const char *HexString, uint64_t const *&RawData) {
602     APInt V(129, HexString, 16);
603     RawData = V.getRawData();
604     return V;
605   };
606 
607   APInt One(129, "1", 16);
608   APInt Two(129, "2", 16);
609   APInt Three(129, "3", 16);
610   APInt MinusOne = -One;
611 
612   const uint64_t *RawDataL = nullptr;
613   const uint64_t *RawDataR = nullptr;
614 
615   {
616     // 1 + 1 = 2
617     APInt AddLL = One + One;
618     EXPECT_EQ(AddLL, Two);
619 
620     APInt AddLR = One + getRValue("1", RawDataR);
621     EXPECT_EQ(AddLR, Two);
622     EXPECT_EQ(AddLR.getRawData(), RawDataR);
623 
624     APInt AddRL = getRValue("1", RawDataL) + One;
625     EXPECT_EQ(AddRL, Two);
626     EXPECT_EQ(AddRL.getRawData(), RawDataL);
627 
628     APInt AddRR = getRValue("1", RawDataL) + getRValue("1", RawDataR);
629     EXPECT_EQ(AddRR, Two);
630     EXPECT_EQ(AddRR.getRawData(), RawDataR);
631 
632     // LValue's and constants
633     APInt AddLK = One + 1;
634     EXPECT_EQ(AddLK, Two);
635 
636     APInt AddKL = 1 + One;
637     EXPECT_EQ(AddKL, Two);
638 
639     // RValue's and constants
640     APInt AddRK = getRValue("1", RawDataL) + 1;
641     EXPECT_EQ(AddRK, Two);
642     EXPECT_EQ(AddRK.getRawData(), RawDataL);
643 
644     APInt AddKR = 1 + getRValue("1", RawDataR);
645     EXPECT_EQ(AddKR, Two);
646     EXPECT_EQ(AddKR.getRawData(), RawDataR);
647   }
648 
649   {
650     // 0x0,FFFF...FFFF + 0x2 = 0x100...0001
651     APInt AllOnes(129, "0FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF", 16);
652     APInt HighOneLowOne(129, "100000000000000000000000000000001", 16);
653 
654     APInt AddLL = AllOnes + Two;
655     EXPECT_EQ(AddLL, HighOneLowOne);
656 
657     APInt AddLR = AllOnes + getRValue("2", RawDataR);
658     EXPECT_EQ(AddLR, HighOneLowOne);
659     EXPECT_EQ(AddLR.getRawData(), RawDataR);
660 
661     APInt AddRL = getRValue("FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF", RawDataL) + Two;
662     EXPECT_EQ(AddRL, HighOneLowOne);
663     EXPECT_EQ(AddRL.getRawData(), RawDataL);
664 
665     APInt AddRR = getRValue("FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF", RawDataL) +
666                   getRValue("2", RawDataR);
667     EXPECT_EQ(AddRR, HighOneLowOne);
668     EXPECT_EQ(AddRR.getRawData(), RawDataR);
669 
670     // LValue's and constants
671     APInt AddLK = AllOnes + 2;
672     EXPECT_EQ(AddLK, HighOneLowOne);
673 
674     APInt AddKL = 2 + AllOnes;
675     EXPECT_EQ(AddKL, HighOneLowOne);
676 
677     // RValue's and constants
678     APInt AddRK = getRValue("FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF", RawDataL) + 2;
679     EXPECT_EQ(AddRK, HighOneLowOne);
680     EXPECT_EQ(AddRK.getRawData(), RawDataL);
681 
682     APInt AddKR = 2 + getRValue("FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF", RawDataR);
683     EXPECT_EQ(AddKR, HighOneLowOne);
684     EXPECT_EQ(AddKR.getRawData(), RawDataR);
685   }
686 
687   {
688     // 2 - 1 = 1
689     APInt SubLL = Two - One;
690     EXPECT_EQ(SubLL, One);
691 
692     APInt SubLR = Two - getRValue("1", RawDataR);
693     EXPECT_EQ(SubLR, One);
694     EXPECT_EQ(SubLR.getRawData(), RawDataR);
695 
696     APInt SubRL = getRValue("2", RawDataL) - One;
697     EXPECT_EQ(SubRL, One);
698     EXPECT_EQ(SubRL.getRawData(), RawDataL);
699 
700     APInt SubRR = getRValue("2", RawDataL) - getRValue("1", RawDataR);
701     EXPECT_EQ(SubRR, One);
702     EXPECT_EQ(SubRR.getRawData(), RawDataR);
703 
704     // LValue's and constants
705     APInt SubLK = Two - 1;
706     EXPECT_EQ(SubLK, One);
707 
708     APInt SubKL = 2 - One;
709     EXPECT_EQ(SubKL, One);
710 
711     // RValue's and constants
712     APInt SubRK = getRValue("2", RawDataL) - 1;
713     EXPECT_EQ(SubRK, One);
714     EXPECT_EQ(SubRK.getRawData(), RawDataL);
715 
716     APInt SubKR = 2 - getRValue("1", RawDataR);
717     EXPECT_EQ(SubKR, One);
718     EXPECT_EQ(SubKR.getRawData(), RawDataR);
719   }
720 
721   {
722     // 0x100...0001 - 0x0,FFFF...FFFF = 0x2
723     APInt AllOnes(129, "0FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF", 16);
724     APInt HighOneLowOne(129, "100000000000000000000000000000001", 16);
725 
726     APInt SubLL = HighOneLowOne - AllOnes;
727     EXPECT_EQ(SubLL, Two);
728 
729     APInt SubLR = HighOneLowOne -
730                   getRValue("0FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF", RawDataR);
731     EXPECT_EQ(SubLR, Two);
732     EXPECT_EQ(SubLR.getRawData(), RawDataR);
733 
734     APInt SubRL = getRValue("100000000000000000000000000000001", RawDataL) -
735                   AllOnes;
736     EXPECT_EQ(SubRL, Two);
737     EXPECT_EQ(SubRL.getRawData(), RawDataL);
738 
739     APInt SubRR = getRValue("100000000000000000000000000000001", RawDataL) -
740                   getRValue("0FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF", RawDataR);
741     EXPECT_EQ(SubRR, Two);
742     EXPECT_EQ(SubRR.getRawData(), RawDataR);
743 
744     // LValue's and constants
745     // 0x100...0001 - 0x2 = 0x0,FFFF...FFFF
746     APInt SubLK = HighOneLowOne - 2;
747     EXPECT_EQ(SubLK, AllOnes);
748 
749     // 2 - (-1) = 3
750     APInt SubKL = 2 - MinusOne;
751     EXPECT_EQ(SubKL, Three);
752 
753     // RValue's and constants
754     // 0x100...0001 - 0x2 = 0x0,FFFF...FFFF
755     APInt SubRK = getRValue("100000000000000000000000000000001", RawDataL) - 2;
756     EXPECT_EQ(SubRK, AllOnes);
757     EXPECT_EQ(SubRK.getRawData(), RawDataL);
758 
759     APInt SubKR = 2 - getRValue("1FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF", RawDataR);
760     EXPECT_EQ(SubKR, Three);
761     EXPECT_EQ(SubKR.getRawData(), RawDataR);
762   }
763 }
764 
765 TEST(APIntTest, rvalue_bitwise) {
766   // Test all combinations of lvalue/rvalue lhs/rhs of and/or/xor
767 
768   // Lamdba to return an APInt by value, but also provide the raw value of the
769   // allocated data.
770   auto getRValue = [](const char *HexString, uint64_t const *&RawData) {
771     APInt V(129, HexString, 16);
772     RawData = V.getRawData();
773     return V;
774   };
775 
776   APInt Ten(129, "A", 16);
777   APInt Twelve(129, "C", 16);
778 
779   const uint64_t *RawDataL = nullptr;
780   const uint64_t *RawDataR = nullptr;
781 
782   {
783     // 12 & 10 = 8
784     APInt AndLL = Ten & Twelve;
785     EXPECT_EQ(AndLL, 0x8);
786 
787     APInt AndLR = Ten & getRValue("C", RawDataR);
788     EXPECT_EQ(AndLR, 0x8);
789     EXPECT_EQ(AndLR.getRawData(), RawDataR);
790 
791     APInt AndRL = getRValue("A", RawDataL) & Twelve;
792     EXPECT_EQ(AndRL, 0x8);
793     EXPECT_EQ(AndRL.getRawData(), RawDataL);
794 
795     APInt AndRR = getRValue("A", RawDataL) & getRValue("C", RawDataR);
796     EXPECT_EQ(AndRR, 0x8);
797     EXPECT_EQ(AndRR.getRawData(), RawDataR);
798 
799     // LValue's and constants
800     APInt AndLK = Ten & 0xc;
801     EXPECT_EQ(AndLK, 0x8);
802 
803     APInt AndKL = 0xa & Twelve;
804     EXPECT_EQ(AndKL, 0x8);
805 
806     // RValue's and constants
807     APInt AndRK = getRValue("A", RawDataL) & 0xc;
808     EXPECT_EQ(AndRK, 0x8);
809     EXPECT_EQ(AndRK.getRawData(), RawDataL);
810 
811     APInt AndKR = 0xa & getRValue("C", RawDataR);
812     EXPECT_EQ(AndKR, 0x8);
813     EXPECT_EQ(AndKR.getRawData(), RawDataR);
814   }
815 
816   {
817     // 12 | 10 = 14
818     APInt OrLL = Ten | Twelve;
819     EXPECT_EQ(OrLL, 0xe);
820 
821     APInt OrLR = Ten | getRValue("C", RawDataR);
822     EXPECT_EQ(OrLR, 0xe);
823     EXPECT_EQ(OrLR.getRawData(), RawDataR);
824 
825     APInt OrRL = getRValue("A", RawDataL) | Twelve;
826     EXPECT_EQ(OrRL, 0xe);
827     EXPECT_EQ(OrRL.getRawData(), RawDataL);
828 
829     APInt OrRR = getRValue("A", RawDataL) | getRValue("C", RawDataR);
830     EXPECT_EQ(OrRR, 0xe);
831     EXPECT_EQ(OrRR.getRawData(), RawDataR);
832 
833     // LValue's and constants
834     APInt OrLK = Ten | 0xc;
835     EXPECT_EQ(OrLK, 0xe);
836 
837     APInt OrKL = 0xa | Twelve;
838     EXPECT_EQ(OrKL, 0xe);
839 
840     // RValue's and constants
841     APInt OrRK = getRValue("A", RawDataL) | 0xc;
842     EXPECT_EQ(OrRK, 0xe);
843     EXPECT_EQ(OrRK.getRawData(), RawDataL);
844 
845     APInt OrKR = 0xa | getRValue("C", RawDataR);
846     EXPECT_EQ(OrKR, 0xe);
847     EXPECT_EQ(OrKR.getRawData(), RawDataR);
848   }
849 
850   {
851     // 12 ^ 10 = 6
852     APInt XorLL = Ten ^ Twelve;
853     EXPECT_EQ(XorLL, 0x6);
854 
855     APInt XorLR = Ten ^ getRValue("C", RawDataR);
856     EXPECT_EQ(XorLR, 0x6);
857     EXPECT_EQ(XorLR.getRawData(), RawDataR);
858 
859     APInt XorRL = getRValue("A", RawDataL) ^ Twelve;
860     EXPECT_EQ(XorRL, 0x6);
861     EXPECT_EQ(XorRL.getRawData(), RawDataL);
862 
863     APInt XorRR = getRValue("A", RawDataL) ^ getRValue("C", RawDataR);
864     EXPECT_EQ(XorRR, 0x6);
865     EXPECT_EQ(XorRR.getRawData(), RawDataR);
866 
867     // LValue's and constants
868     APInt XorLK = Ten ^ 0xc;
869     EXPECT_EQ(XorLK, 0x6);
870 
871     APInt XorKL = 0xa ^ Twelve;
872     EXPECT_EQ(XorKL, 0x6);
873 
874     // RValue's and constants
875     APInt XorRK = getRValue("A", RawDataL) ^ 0xc;
876     EXPECT_EQ(XorRK, 0x6);
877     EXPECT_EQ(XorRK.getRawData(), RawDataL);
878 
879     APInt XorKR = 0xa ^ getRValue("C", RawDataR);
880     EXPECT_EQ(XorKR, 0x6);
881     EXPECT_EQ(XorKR.getRawData(), RawDataR);
882   }
883 }
884 
885 TEST(APIntTest, rvalue_invert) {
886   // Lamdba to return an APInt by value, but also provide the raw value of the
887   // allocated data.
888   auto getRValue = [](const char *HexString, uint64_t const *&RawData) {
889     APInt V(129, HexString, 16);
890     RawData = V.getRawData();
891     return V;
892   };
893 
894   APInt One(129, 1);
895   APInt NegativeTwo(129, -2ULL, true);
896 
897   const uint64_t *RawData = nullptr;
898 
899   {
900     // ~1 = -2
901     APInt NegL = ~One;
902     EXPECT_EQ(NegL, NegativeTwo);
903 
904     APInt NegR = ~getRValue("1", RawData);
905     EXPECT_EQ(NegR, NegativeTwo);
906     EXPECT_EQ(NegR.getRawData(), RawData);
907   }
908 }
909 
910 // Tests different div/rem varaints using scheme (a * b + c) / a
911 void testDiv(APInt a, APInt b, APInt c) {
912   ASSERT_TRUE(a.uge(b)); // Must: a >= b
913   ASSERT_TRUE(a.ugt(c)); // Must: a > c
914 
915   auto p = a * b + c;
916 
917   auto q = p.udiv(a);
918   auto r = p.urem(a);
919   EXPECT_EQ(b, q);
920   EXPECT_EQ(c, r);
921   APInt::udivrem(p, a, q, r);
922   EXPECT_EQ(b, q);
923   EXPECT_EQ(c, r);
924   q = p.sdiv(a);
925   r = p.srem(a);
926   EXPECT_EQ(b, q);
927   EXPECT_EQ(c, r);
928   APInt::sdivrem(p, a, q, r);
929   EXPECT_EQ(b, q);
930   EXPECT_EQ(c, r);
931 
932   if (b.ugt(c)) { // Test also symmetric case
933     q = p.udiv(b);
934     r = p.urem(b);
935     EXPECT_EQ(a, q);
936     EXPECT_EQ(c, r);
937     APInt::udivrem(p, b, q, r);
938     EXPECT_EQ(a, q);
939     EXPECT_EQ(c, r);
940     q = p.sdiv(b);
941     r = p.srem(b);
942     EXPECT_EQ(a, q);
943     EXPECT_EQ(c, r);
944     APInt::sdivrem(p, b, q, r);
945     EXPECT_EQ(a, q);
946     EXPECT_EQ(c, r);
947   }
948 }
949 
950 TEST(APIntTest, divrem_big1) {
951   // Tests KnuthDiv rare step D6
952   testDiv({256, "1ffffffffffffffff", 16},
953           {256, "1ffffffffffffffff", 16},
954           {256, 0});
955 }
956 
957 TEST(APIntTest, divrem_big2) {
958   // Tests KnuthDiv rare step D6
959   testDiv({1024,                       "112233ceff"
960                  "cecece000000ffffffffffffffffffff"
961                  "ffffffffffffffffffffffffffffffff"
962                  "ffffffffffffffffffffffffffffffff"
963                  "ffffffffffffffffffffffffffffff33", 16},
964           {1024,           "111111ffffffffffffffff"
965                  "ffffffffffffffffffffffffffffffff"
966                  "fffffffffffffffffffffffffffffccf"
967                  "ffffffffffffffffffffffffffffff00", 16},
968           {1024, 7919});
969 }
970 
971 TEST(APIntTest, divrem_big3) {
972   // Tests KnuthDiv case without shift
973   testDiv({256, "80000001ffffffffffffffff", 16},
974           {256, "ffffffffffffff0000000", 16},
975           {256, 4219});
976 }
977 
978 TEST(APIntTest, divrem_big4) {
979   // Tests heap allocation in divide() enfoced by huge numbers
980   testDiv(APInt{4096, 5}.shl(2001),
981           APInt{4096, 1}.shl(2000),
982           APInt{4096, 4219*13});
983 }
984 
985 TEST(APIntTest, divrem_big5) {
986   // Tests one word divisor case of divide()
987   testDiv(APInt{1024, 19}.shl(811),
988           APInt{1024, 4356013}, // one word
989           APInt{1024, 1});
990 }
991 
992 TEST(APIntTest, divrem_big6) {
993   // Tests some rare "borrow" cases in D4 step
994   testDiv(APInt{512, "ffffffffffffffff00000000000000000000000001", 16},
995           APInt{512, "10000000000000001000000000000001", 16},
996           APInt{512, "10000000000000000000000000000000", 16});
997 }
998 
999 TEST(APIntTest, divrem_big7) {
1000   // Yet another test for KnuthDiv rare step D6.
1001   testDiv({224, "800000008000000200000005", 16},
1002           {224, "fffffffd", 16},
1003           {224, "80000000800000010000000f", 16});
1004 }
1005 
1006 void testDiv(APInt a, uint64_t b, APInt c) {
1007   auto p = a * b + c;
1008 
1009   APInt q;
1010   uint64_t r;
1011   // Unsigned division will only work if our original number wasn't negative.
1012   if (!a.isNegative()) {
1013     q = p.udiv(b);
1014     r = p.urem(b);
1015     EXPECT_EQ(a, q);
1016     EXPECT_EQ(c, r);
1017     APInt::udivrem(p, b, q, r);
1018     EXPECT_EQ(a, q);
1019     EXPECT_EQ(c, r);
1020   }
1021   q = p.sdiv(b);
1022   r = p.srem(b);
1023   EXPECT_EQ(a, q);
1024   if (c.isNegative())
1025     EXPECT_EQ(-c, -r); // Need to negate so the uint64_t compare will work.
1026   else
1027     EXPECT_EQ(c, r);
1028   int64_t sr;
1029   APInt::sdivrem(p, b, q, sr);
1030   EXPECT_EQ(a, q);
1031   if (c.isNegative())
1032     EXPECT_EQ(-c, -sr); // Need to negate so the uint64_t compare will work.
1033   else
1034     EXPECT_EQ(c, sr);
1035 }
1036 
1037 TEST(APIntTest, divremuint) {
1038   // Single word APInt
1039   testDiv(APInt{64, 9},
1040           2,
1041           APInt{64, 1});
1042 
1043   // Single word negative APInt
1044   testDiv(-APInt{64, 9},
1045           2,
1046           -APInt{64, 1});
1047 
1048   // Multiword dividend with only one significant word.
1049   testDiv(APInt{256, 9},
1050           2,
1051           APInt{256, 1});
1052 
1053   // Negative dividend.
1054   testDiv(-APInt{256, 9},
1055           2,
1056           -APInt{256, 1});
1057 
1058   // Multiword dividend
1059   testDiv(APInt{1024, 19}.shl(811),
1060           4356013, // one word
1061           APInt{1024, 1});
1062 }
1063 
1064 TEST(APIntTest, divrem_simple) {
1065   // Test simple cases.
1066   APInt A(65, 2), B(65, 2);
1067   APInt Q, R;
1068 
1069   // X / X
1070   APInt::sdivrem(A, B, Q, R);
1071   EXPECT_EQ(Q, APInt(65, 1));
1072   EXPECT_EQ(R, APInt(65, 0));
1073   APInt::udivrem(A, B, Q, R);
1074   EXPECT_EQ(Q, APInt(65, 1));
1075   EXPECT_EQ(R, APInt(65, 0));
1076 
1077   // 0 / X
1078   APInt O(65, 0);
1079   APInt::sdivrem(O, B, Q, R);
1080   EXPECT_EQ(Q, APInt(65, 0));
1081   EXPECT_EQ(R, APInt(65, 0));
1082   APInt::udivrem(O, B, Q, R);
1083   EXPECT_EQ(Q, APInt(65, 0));
1084   EXPECT_EQ(R, APInt(65, 0));
1085 
1086   // X / 1
1087   APInt I(65, 1);
1088   APInt::sdivrem(A, I, Q, R);
1089   EXPECT_EQ(Q, A);
1090   EXPECT_EQ(R, APInt(65, 0));
1091   APInt::udivrem(A, I, Q, R);
1092   EXPECT_EQ(Q, A);
1093   EXPECT_EQ(R, APInt(65, 0));
1094 }
1095 
1096 TEST(APIntTest, fromString) {
1097   EXPECT_EQ(APInt(32, 0), APInt(32,   "0", 2));
1098   EXPECT_EQ(APInt(32, 1), APInt(32,   "1", 2));
1099   EXPECT_EQ(APInt(32, 2), APInt(32,  "10", 2));
1100   EXPECT_EQ(APInt(32, 3), APInt(32,  "11", 2));
1101   EXPECT_EQ(APInt(32, 4), APInt(32, "100", 2));
1102 
1103   EXPECT_EQ(APInt(32, 0), APInt(32,   "+0", 2));
1104   EXPECT_EQ(APInt(32, 1), APInt(32,   "+1", 2));
1105   EXPECT_EQ(APInt(32, 2), APInt(32,  "+10", 2));
1106   EXPECT_EQ(APInt(32, 3), APInt(32,  "+11", 2));
1107   EXPECT_EQ(APInt(32, 4), APInt(32, "+100", 2));
1108 
1109   EXPECT_EQ(APInt(32, uint64_t(-0LL)), APInt(32,   "-0", 2));
1110   EXPECT_EQ(APInt(32, uint64_t(-1LL)), APInt(32,   "-1", 2));
1111   EXPECT_EQ(APInt(32, uint64_t(-2LL)), APInt(32,  "-10", 2));
1112   EXPECT_EQ(APInt(32, uint64_t(-3LL)), APInt(32,  "-11", 2));
1113   EXPECT_EQ(APInt(32, uint64_t(-4LL)), APInt(32, "-100", 2));
1114 
1115   EXPECT_EQ(APInt(32,  0), APInt(32,  "0",  8));
1116   EXPECT_EQ(APInt(32,  1), APInt(32,  "1",  8));
1117   EXPECT_EQ(APInt(32,  7), APInt(32,  "7",  8));
1118   EXPECT_EQ(APInt(32,  8), APInt(32,  "10", 8));
1119   EXPECT_EQ(APInt(32, 15), APInt(32,  "17", 8));
1120   EXPECT_EQ(APInt(32, 16), APInt(32,  "20", 8));
1121 
1122   EXPECT_EQ(APInt(32,  +0), APInt(32,  "+0",  8));
1123   EXPECT_EQ(APInt(32,  +1), APInt(32,  "+1",  8));
1124   EXPECT_EQ(APInt(32,  +7), APInt(32,  "+7",  8));
1125   EXPECT_EQ(APInt(32,  +8), APInt(32,  "+10", 8));
1126   EXPECT_EQ(APInt(32, +15), APInt(32,  "+17", 8));
1127   EXPECT_EQ(APInt(32, +16), APInt(32,  "+20", 8));
1128 
1129   EXPECT_EQ(APInt(32,  uint64_t(-0LL)), APInt(32,  "-0",  8));
1130   EXPECT_EQ(APInt(32,  uint64_t(-1LL)), APInt(32,  "-1",  8));
1131   EXPECT_EQ(APInt(32,  uint64_t(-7LL)), APInt(32,  "-7",  8));
1132   EXPECT_EQ(APInt(32,  uint64_t(-8LL)), APInt(32,  "-10", 8));
1133   EXPECT_EQ(APInt(32, uint64_t(-15LL)), APInt(32,  "-17", 8));
1134   EXPECT_EQ(APInt(32, uint64_t(-16LL)), APInt(32,  "-20", 8));
1135 
1136   EXPECT_EQ(APInt(32,  0), APInt(32,  "0", 10));
1137   EXPECT_EQ(APInt(32,  1), APInt(32,  "1", 10));
1138   EXPECT_EQ(APInt(32,  9), APInt(32,  "9", 10));
1139   EXPECT_EQ(APInt(32, 10), APInt(32, "10", 10));
1140   EXPECT_EQ(APInt(32, 19), APInt(32, "19", 10));
1141   EXPECT_EQ(APInt(32, 20), APInt(32, "20", 10));
1142 
1143   EXPECT_EQ(APInt(32,  uint64_t(-0LL)), APInt(32,  "-0", 10));
1144   EXPECT_EQ(APInt(32,  uint64_t(-1LL)), APInt(32,  "-1", 10));
1145   EXPECT_EQ(APInt(32,  uint64_t(-9LL)), APInt(32,  "-9", 10));
1146   EXPECT_EQ(APInt(32, uint64_t(-10LL)), APInt(32, "-10", 10));
1147   EXPECT_EQ(APInt(32, uint64_t(-19LL)), APInt(32, "-19", 10));
1148   EXPECT_EQ(APInt(32, uint64_t(-20LL)), APInt(32, "-20", 10));
1149 
1150   EXPECT_EQ(APInt(32,  0), APInt(32,  "0", 16));
1151   EXPECT_EQ(APInt(32,  1), APInt(32,  "1", 16));
1152   EXPECT_EQ(APInt(32, 15), APInt(32,  "F", 16));
1153   EXPECT_EQ(APInt(32, 16), APInt(32, "10", 16));
1154   EXPECT_EQ(APInt(32, 31), APInt(32, "1F", 16));
1155   EXPECT_EQ(APInt(32, 32), APInt(32, "20", 16));
1156 
1157   EXPECT_EQ(APInt(32,  uint64_t(-0LL)), APInt(32,  "-0", 16));
1158   EXPECT_EQ(APInt(32,  uint64_t(-1LL)), APInt(32,  "-1", 16));
1159   EXPECT_EQ(APInt(32, uint64_t(-15LL)), APInt(32,  "-F", 16));
1160   EXPECT_EQ(APInt(32, uint64_t(-16LL)), APInt(32, "-10", 16));
1161   EXPECT_EQ(APInt(32, uint64_t(-31LL)), APInt(32, "-1F", 16));
1162   EXPECT_EQ(APInt(32, uint64_t(-32LL)), APInt(32, "-20", 16));
1163 
1164   EXPECT_EQ(APInt(32,  0), APInt(32,  "0", 36));
1165   EXPECT_EQ(APInt(32,  1), APInt(32,  "1", 36));
1166   EXPECT_EQ(APInt(32, 35), APInt(32,  "Z", 36));
1167   EXPECT_EQ(APInt(32, 36), APInt(32, "10", 36));
1168   EXPECT_EQ(APInt(32, 71), APInt(32, "1Z", 36));
1169   EXPECT_EQ(APInt(32, 72), APInt(32, "20", 36));
1170 
1171   EXPECT_EQ(APInt(32,  uint64_t(-0LL)), APInt(32,  "-0", 36));
1172   EXPECT_EQ(APInt(32,  uint64_t(-1LL)), APInt(32,  "-1", 36));
1173   EXPECT_EQ(APInt(32, uint64_t(-35LL)), APInt(32,  "-Z", 36));
1174   EXPECT_EQ(APInt(32, uint64_t(-36LL)), APInt(32, "-10", 36));
1175   EXPECT_EQ(APInt(32, uint64_t(-71LL)), APInt(32, "-1Z", 36));
1176   EXPECT_EQ(APInt(32, uint64_t(-72LL)), APInt(32, "-20", 36));
1177 }
1178 
1179 TEST(APIntTest, SaturatingMath) {
1180   APInt AP_10 = APInt(8, 10);
1181   APInt AP_42 = APInt(8, 42);
1182   APInt AP_100 = APInt(8, 100);
1183   APInt AP_200 = APInt(8, 200);
1184 
1185   EXPECT_EQ(APInt(8, 100), AP_100.truncUSat(8));
1186   EXPECT_EQ(APInt(7, 100), AP_100.truncUSat(7));
1187   EXPECT_EQ(APInt(6, 63), AP_100.truncUSat(6));
1188   EXPECT_EQ(APInt(5, 31), AP_100.truncUSat(5));
1189 
1190   EXPECT_EQ(APInt(8, 200), AP_200.truncUSat(8));
1191   EXPECT_EQ(APInt(7, 127), AP_200.truncUSat(7));
1192   EXPECT_EQ(APInt(6, 63), AP_200.truncUSat(6));
1193   EXPECT_EQ(APInt(5, 31), AP_200.truncUSat(5));
1194 
1195   EXPECT_EQ(APInt(8, 42), AP_42.truncSSat(8));
1196   EXPECT_EQ(APInt(7, 42), AP_42.truncSSat(7));
1197   EXPECT_EQ(APInt(6, 31), AP_42.truncSSat(6));
1198   EXPECT_EQ(APInt(5, 15), AP_42.truncSSat(5));
1199 
1200   EXPECT_EQ(APInt(8, -56), AP_200.truncSSat(8));
1201   EXPECT_EQ(APInt(7, -56), AP_200.truncSSat(7));
1202   EXPECT_EQ(APInt(6, -32), AP_200.truncSSat(6));
1203   EXPECT_EQ(APInt(5, -16), AP_200.truncSSat(5));
1204 
1205   EXPECT_EQ(APInt(8, 200), AP_100.uadd_sat(AP_100));
1206   EXPECT_EQ(APInt(8, 255), AP_100.uadd_sat(AP_200));
1207   EXPECT_EQ(APInt(8, 255), APInt(8, 255).uadd_sat(APInt(8, 255)));
1208 
1209   EXPECT_EQ(APInt(8, 110), AP_10.sadd_sat(AP_100));
1210   EXPECT_EQ(APInt(8, 127), AP_100.sadd_sat(AP_100));
1211   EXPECT_EQ(APInt(8, -128), (-AP_100).sadd_sat(-AP_100));
1212   EXPECT_EQ(APInt(8, -128), APInt(8, -128).sadd_sat(APInt(8, -128)));
1213 
1214   EXPECT_EQ(APInt(8, 90), AP_100.usub_sat(AP_10));
1215   EXPECT_EQ(APInt(8, 0), AP_100.usub_sat(AP_200));
1216   EXPECT_EQ(APInt(8, 0), APInt(8, 0).usub_sat(APInt(8, 255)));
1217 
1218   EXPECT_EQ(APInt(8, -90), AP_10.ssub_sat(AP_100));
1219   EXPECT_EQ(APInt(8, 127), AP_100.ssub_sat(-AP_100));
1220   EXPECT_EQ(APInt(8, -128), (-AP_100).ssub_sat(AP_100));
1221   EXPECT_EQ(APInt(8, -128), APInt(8, -128).ssub_sat(APInt(8, 127)));
1222 
1223   EXPECT_EQ(APInt(8, 250), APInt(8, 50).umul_sat(APInt(8, 5)));
1224   EXPECT_EQ(APInt(8, 255), APInt(8, 50).umul_sat(APInt(8, 6)));
1225   EXPECT_EQ(APInt(8, 255), APInt(8, -128).umul_sat(APInt(8, 3)));
1226   EXPECT_EQ(APInt(8, 255), APInt(8, 3).umul_sat(APInt(8, -128)));
1227   EXPECT_EQ(APInt(8, 255), APInt(8, -128).umul_sat(APInt(8, -128)));
1228 
1229   EXPECT_EQ(APInt(8, 125), APInt(8, 25).smul_sat(APInt(8, 5)));
1230   EXPECT_EQ(APInt(8, 127), APInt(8, 25).smul_sat(APInt(8, 6)));
1231   EXPECT_EQ(APInt(8, 127), APInt(8, 127).smul_sat(APInt(8, 127)));
1232   EXPECT_EQ(APInt(8, -125), APInt(8, -25).smul_sat(APInt(8, 5)));
1233   EXPECT_EQ(APInt(8, -125), APInt(8, 25).smul_sat(APInt(8, -5)));
1234   EXPECT_EQ(APInt(8, 125), APInt(8, -25).smul_sat(APInt(8, -5)));
1235   EXPECT_EQ(APInt(8, 125), APInt(8, 25).smul_sat(APInt(8, 5)));
1236   EXPECT_EQ(APInt(8, -128), APInt(8, -25).smul_sat(APInt(8, 6)));
1237   EXPECT_EQ(APInt(8, -128), APInt(8, 25).smul_sat(APInt(8, -6)));
1238   EXPECT_EQ(APInt(8, 127), APInt(8, -25).smul_sat(APInt(8, -6)));
1239   EXPECT_EQ(APInt(8, 127), APInt(8, 25).smul_sat(APInt(8, 6)));
1240 
1241   EXPECT_EQ(APInt(8, 128), APInt(8, 4).ushl_sat(APInt(8, 5)));
1242   EXPECT_EQ(APInt(8, 255), APInt(8, 4).ushl_sat(APInt(8, 6)));
1243   EXPECT_EQ(APInt(8, 128), APInt(8, 1).ushl_sat(APInt(8, 7)));
1244   EXPECT_EQ(APInt(8, 255), APInt(8, 1).ushl_sat(APInt(8, 8)));
1245   EXPECT_EQ(APInt(8, 255), APInt(8, -128).ushl_sat(APInt(8, 2)));
1246   EXPECT_EQ(APInt(8, 255), APInt(8, 64).ushl_sat(APInt(8, 2)));
1247   EXPECT_EQ(APInt(8, 255), APInt(8, 64).ushl_sat(APInt(8, -2)));
1248 
1249   EXPECT_EQ(APInt(8, 64), APInt(8, 4).sshl_sat(APInt(8, 4)));
1250   EXPECT_EQ(APInt(8, 127), APInt(8, 4).sshl_sat(APInt(8, 5)));
1251   EXPECT_EQ(APInt(8, 127), APInt(8, 1).sshl_sat(APInt(8, 8)));
1252   EXPECT_EQ(APInt(8, -64), APInt(8, -4).sshl_sat(APInt(8, 4)));
1253   EXPECT_EQ(APInt(8, -128), APInt(8, -4).sshl_sat(APInt(8, 5)));
1254   EXPECT_EQ(APInt(8, -128), APInt(8, -4).sshl_sat(APInt(8, 6)));
1255   EXPECT_EQ(APInt(8, -128), APInt(8, -1).sshl_sat(APInt(8, 7)));
1256   EXPECT_EQ(APInt(8, -128), APInt(8, -1).sshl_sat(APInt(8, 8)));
1257 }
1258 
1259 TEST(APIntTest, FromArray) {
1260   EXPECT_EQ(APInt(32, uint64_t(1)), APInt(32, ArrayRef<uint64_t>(1)));
1261 }
1262 
1263 TEST(APIntTest, StringBitsNeeded2) {
1264   EXPECT_EQ(1U, APInt::getBitsNeeded(  "0", 2));
1265   EXPECT_EQ(1U, APInt::getBitsNeeded(  "1", 2));
1266   EXPECT_EQ(2U, APInt::getBitsNeeded( "10", 2));
1267   EXPECT_EQ(2U, APInt::getBitsNeeded( "11", 2));
1268   EXPECT_EQ(3U, APInt::getBitsNeeded("100", 2));
1269 
1270   EXPECT_EQ(1U, APInt::getBitsNeeded(  "+0", 2));
1271   EXPECT_EQ(1U, APInt::getBitsNeeded(  "+1", 2));
1272   EXPECT_EQ(2U, APInt::getBitsNeeded( "+10", 2));
1273   EXPECT_EQ(2U, APInt::getBitsNeeded( "+11", 2));
1274   EXPECT_EQ(3U, APInt::getBitsNeeded("+100", 2));
1275 
1276   EXPECT_EQ(2U, APInt::getBitsNeeded(  "-0", 2));
1277   EXPECT_EQ(2U, APInt::getBitsNeeded(  "-1", 2));
1278   EXPECT_EQ(3U, APInt::getBitsNeeded( "-10", 2));
1279   EXPECT_EQ(3U, APInt::getBitsNeeded( "-11", 2));
1280   EXPECT_EQ(4U, APInt::getBitsNeeded("-100", 2));
1281 }
1282 
1283 TEST(APIntTest, StringBitsNeeded8) {
1284   EXPECT_EQ(3U, APInt::getBitsNeeded( "0", 8));
1285   EXPECT_EQ(3U, APInt::getBitsNeeded( "7", 8));
1286   EXPECT_EQ(6U, APInt::getBitsNeeded("10", 8));
1287   EXPECT_EQ(6U, APInt::getBitsNeeded("17", 8));
1288   EXPECT_EQ(6U, APInt::getBitsNeeded("20", 8));
1289 
1290   EXPECT_EQ(3U, APInt::getBitsNeeded( "+0", 8));
1291   EXPECT_EQ(3U, APInt::getBitsNeeded( "+7", 8));
1292   EXPECT_EQ(6U, APInt::getBitsNeeded("+10", 8));
1293   EXPECT_EQ(6U, APInt::getBitsNeeded("+17", 8));
1294   EXPECT_EQ(6U, APInt::getBitsNeeded("+20", 8));
1295 
1296   EXPECT_EQ(4U, APInt::getBitsNeeded( "-0", 8));
1297   EXPECT_EQ(4U, APInt::getBitsNeeded( "-7", 8));
1298   EXPECT_EQ(7U, APInt::getBitsNeeded("-10", 8));
1299   EXPECT_EQ(7U, APInt::getBitsNeeded("-17", 8));
1300   EXPECT_EQ(7U, APInt::getBitsNeeded("-20", 8));
1301 }
1302 
1303 TEST(APIntTest, StringBitsNeeded10) {
1304   EXPECT_EQ(1U, APInt::getBitsNeeded( "0", 10));
1305   EXPECT_EQ(2U, APInt::getBitsNeeded( "3", 10));
1306   EXPECT_EQ(4U, APInt::getBitsNeeded( "9", 10));
1307   EXPECT_EQ(4U, APInt::getBitsNeeded("10", 10));
1308   EXPECT_EQ(5U, APInt::getBitsNeeded("19", 10));
1309   EXPECT_EQ(5U, APInt::getBitsNeeded("20", 10));
1310 
1311   EXPECT_EQ(1U, APInt::getBitsNeeded( "+0", 10));
1312   EXPECT_EQ(4U, APInt::getBitsNeeded( "+9", 10));
1313   EXPECT_EQ(4U, APInt::getBitsNeeded("+10", 10));
1314   EXPECT_EQ(5U, APInt::getBitsNeeded("+19", 10));
1315   EXPECT_EQ(5U, APInt::getBitsNeeded("+20", 10));
1316 
1317   EXPECT_EQ(2U, APInt::getBitsNeeded( "-0", 10));
1318   EXPECT_EQ(5U, APInt::getBitsNeeded( "-9", 10));
1319   EXPECT_EQ(5U, APInt::getBitsNeeded("-10", 10));
1320   EXPECT_EQ(6U, APInt::getBitsNeeded("-19", 10));
1321   EXPECT_EQ(6U, APInt::getBitsNeeded("-20", 10));
1322 
1323   EXPECT_EQ(1U, APInt::getBitsNeeded("-1", 10));
1324   EXPECT_EQ(2U, APInt::getBitsNeeded("-2", 10));
1325   EXPECT_EQ(3U, APInt::getBitsNeeded("-4", 10));
1326   EXPECT_EQ(4U, APInt::getBitsNeeded("-8", 10));
1327   EXPECT_EQ(5U, APInt::getBitsNeeded("-16", 10));
1328   EXPECT_EQ(6U, APInt::getBitsNeeded("-23", 10));
1329   EXPECT_EQ(6U, APInt::getBitsNeeded("-32", 10));
1330   EXPECT_EQ(7U, APInt::getBitsNeeded("-64", 10));
1331   EXPECT_EQ(8U, APInt::getBitsNeeded("-127", 10));
1332   EXPECT_EQ(8U, APInt::getBitsNeeded("-128", 10));
1333   EXPECT_EQ(9U, APInt::getBitsNeeded("-255", 10));
1334   EXPECT_EQ(9U, APInt::getBitsNeeded("-256", 10));
1335   EXPECT_EQ(10U, APInt::getBitsNeeded("-512", 10));
1336   EXPECT_EQ(11U, APInt::getBitsNeeded("-1024", 10));
1337   EXPECT_EQ(12U, APInt::getBitsNeeded("-1025", 10));
1338 }
1339 
1340 TEST(APIntTest, StringBitsNeeded16) {
1341   EXPECT_EQ(4U, APInt::getBitsNeeded( "0", 16));
1342   EXPECT_EQ(4U, APInt::getBitsNeeded( "F", 16));
1343   EXPECT_EQ(8U, APInt::getBitsNeeded("10", 16));
1344   EXPECT_EQ(8U, APInt::getBitsNeeded("1F", 16));
1345   EXPECT_EQ(8U, APInt::getBitsNeeded("20", 16));
1346 
1347   EXPECT_EQ(4U, APInt::getBitsNeeded( "+0", 16));
1348   EXPECT_EQ(4U, APInt::getBitsNeeded( "+F", 16));
1349   EXPECT_EQ(8U, APInt::getBitsNeeded("+10", 16));
1350   EXPECT_EQ(8U, APInt::getBitsNeeded("+1F", 16));
1351   EXPECT_EQ(8U, APInt::getBitsNeeded("+20", 16));
1352 
1353   EXPECT_EQ(5U, APInt::getBitsNeeded( "-0", 16));
1354   EXPECT_EQ(5U, APInt::getBitsNeeded( "-F", 16));
1355   EXPECT_EQ(9U, APInt::getBitsNeeded("-10", 16));
1356   EXPECT_EQ(9U, APInt::getBitsNeeded("-1F", 16));
1357   EXPECT_EQ(9U, APInt::getBitsNeeded("-20", 16));
1358 }
1359 
1360 TEST(APIntTest, toString) {
1361   SmallString<16> S;
1362   bool isSigned;
1363 
1364   APInt(8, 0).toString(S, 2, true, true);
1365   EXPECT_EQ(std::string(S), "0b0");
1366   S.clear();
1367   APInt(8, 0).toString(S, 8, true, true);
1368   EXPECT_EQ(std::string(S), "00");
1369   S.clear();
1370   APInt(8, 0).toString(S, 10, true, true);
1371   EXPECT_EQ(std::string(S), "0");
1372   S.clear();
1373   APInt(8, 0).toString(S, 16, true, true);
1374   EXPECT_EQ(std::string(S), "0x0");
1375   S.clear();
1376   APInt(8, 0).toString(S, 36, true, false);
1377   EXPECT_EQ(std::string(S), "0");
1378   S.clear();
1379 
1380   isSigned = false;
1381   APInt(8, 255, isSigned).toString(S, 2, isSigned, true);
1382   EXPECT_EQ(std::string(S), "0b11111111");
1383   S.clear();
1384   APInt(8, 255, isSigned).toString(S, 8, isSigned, true);
1385   EXPECT_EQ(std::string(S), "0377");
1386   S.clear();
1387   APInt(8, 255, isSigned).toString(S, 10, isSigned, true);
1388   EXPECT_EQ(std::string(S), "255");
1389   S.clear();
1390   APInt(8, 255, isSigned).toString(S, 16, isSigned, true);
1391   EXPECT_EQ(std::string(S), "0xFF");
1392   S.clear();
1393   APInt(8, 255, isSigned).toString(S, 36, isSigned, false);
1394   EXPECT_EQ(std::string(S), "73");
1395   S.clear();
1396 
1397   isSigned = true;
1398   APInt(8, 255, isSigned).toString(S, 2, isSigned, true);
1399   EXPECT_EQ(std::string(S), "-0b1");
1400   S.clear();
1401   APInt(8, 255, isSigned).toString(S, 8, isSigned, true);
1402   EXPECT_EQ(std::string(S), "-01");
1403   S.clear();
1404   APInt(8, 255, isSigned).toString(S, 10, isSigned, true);
1405   EXPECT_EQ(std::string(S), "-1");
1406   S.clear();
1407   APInt(8, 255, isSigned).toString(S, 16, isSigned, true);
1408   EXPECT_EQ(std::string(S), "-0x1");
1409   S.clear();
1410   APInt(8, 255, isSigned).toString(S, 36, isSigned, false);
1411   EXPECT_EQ(std::string(S), "-1");
1412   S.clear();
1413 }
1414 
1415 TEST(APIntTest, Log2) {
1416   EXPECT_EQ(APInt(15, 7).logBase2(), 2U);
1417   EXPECT_EQ(APInt(15, 7).ceilLogBase2(), 3U);
1418   EXPECT_EQ(APInt(15, 7).exactLogBase2(), -1);
1419   EXPECT_EQ(APInt(15, 8).logBase2(), 3U);
1420   EXPECT_EQ(APInt(15, 8).ceilLogBase2(), 3U);
1421   EXPECT_EQ(APInt(15, 8).exactLogBase2(), 3);
1422   EXPECT_EQ(APInt(15, 9).logBase2(), 3U);
1423   EXPECT_EQ(APInt(15, 9).ceilLogBase2(), 4U);
1424   EXPECT_EQ(APInt(15, 9).exactLogBase2(), -1);
1425 }
1426 
1427 #ifdef GTEST_HAS_DEATH_TEST
1428 #ifndef NDEBUG
1429 TEST(APIntTest, StringDeath) {
1430   EXPECT_DEATH((void)APInt(32, "", 0), "Invalid string length");
1431   EXPECT_DEATH((void)APInt(32, "0", 0), "Radix should be 2, 8, 10, 16, or 36!");
1432   EXPECT_DEATH((void)APInt(32, "", 10), "Invalid string length");
1433   EXPECT_DEATH((void)APInt(32, "-", 10), "String is only a sign, needs a value.");
1434   EXPECT_DEATH((void)APInt(1, "1234", 10), "Insufficient bit width");
1435   EXPECT_DEATH((void)APInt(32, "\0", 10), "Invalid string length");
1436   EXPECT_DEATH((void)APInt(32, StringRef("1\02", 3), 10), "Invalid character in digit string");
1437   EXPECT_DEATH((void)APInt(32, "1L", 10), "Invalid character in digit string");
1438 }
1439 #endif
1440 #endif
1441 
1442 TEST(APIntTest, mul_clear) {
1443   APInt ValA(65, -1ULL);
1444   APInt ValB(65, 4);
1445   APInt ValC(65, 0);
1446   ValC = ValA * ValB;
1447   ValA *= ValB;
1448   SmallString<16> StrA, StrC;
1449   ValA.toString(StrA, 10, false);
1450   ValC.toString(StrC, 10, false);
1451   EXPECT_EQ(std::string(StrA), std::string(StrC));
1452 }
1453 
1454 TEST(APIntTest, Rotate) {
1455   EXPECT_EQ(APInt(8, 1),  APInt(8, 1).rotl(0));
1456   EXPECT_EQ(APInt(8, 2),  APInt(8, 1).rotl(1));
1457   EXPECT_EQ(APInt(8, 4),  APInt(8, 1).rotl(2));
1458   EXPECT_EQ(APInt(8, 16), APInt(8, 1).rotl(4));
1459   EXPECT_EQ(APInt(8, 1),  APInt(8, 1).rotl(8));
1460 
1461   EXPECT_EQ(APInt(8, 16), APInt(8, 16).rotl(0));
1462   EXPECT_EQ(APInt(8, 32), APInt(8, 16).rotl(1));
1463   EXPECT_EQ(APInt(8, 64), APInt(8, 16).rotl(2));
1464   EXPECT_EQ(APInt(8, 1),  APInt(8, 16).rotl(4));
1465   EXPECT_EQ(APInt(8, 16), APInt(8, 16).rotl(8));
1466 
1467   EXPECT_EQ(APInt(32, 2), APInt(32, 1).rotl(33));
1468   EXPECT_EQ(APInt(32, 2), APInt(32, 1).rotl(APInt(32, 33)));
1469 
1470   EXPECT_EQ(APInt(32, 2), APInt(32, 1).rotl(33));
1471   EXPECT_EQ(APInt(32, 2), APInt(32, 1).rotl(APInt(32, 33)));
1472   EXPECT_EQ(APInt(32, 2), APInt(32, 1).rotl(APInt(33, 33)));
1473   EXPECT_EQ(APInt(32, (1 << 8)), APInt(32, 1).rotl(APInt(32, 40)));
1474   EXPECT_EQ(APInt(32, (1 << 30)), APInt(32, 1).rotl(APInt(31, 30)));
1475   EXPECT_EQ(APInt(32, (1 << 31)), APInt(32, 1).rotl(APInt(31, 31)));
1476 
1477   EXPECT_EQ(APInt(32, 1), APInt(32, 1).rotl(APInt(1, 0)));
1478   EXPECT_EQ(APInt(32, 2), APInt(32, 1).rotl(APInt(1, 1)));
1479 
1480   EXPECT_EQ(APInt(32, 16), APInt(32, 1).rotl(APInt(3, 4)));
1481 
1482   EXPECT_EQ(APInt(32, 1), APInt(32, 1).rotl(APInt(64, 64)));
1483   EXPECT_EQ(APInt(32, 2), APInt(32, 1).rotl(APInt(64, 65)));
1484 
1485   EXPECT_EQ(APInt(7, 24), APInt(7, 3).rotl(APInt(7, 3)));
1486   EXPECT_EQ(APInt(7, 24), APInt(7, 3).rotl(APInt(7, 10)));
1487   EXPECT_EQ(APInt(7, 24), APInt(7, 3).rotl(APInt(5, 10)));
1488   EXPECT_EQ(APInt(7, 6), APInt(7, 3).rotl(APInt(12, 120)));
1489 
1490   EXPECT_EQ(APInt(8, 16), APInt(8, 16).rotr(0));
1491   EXPECT_EQ(APInt(8, 8),  APInt(8, 16).rotr(1));
1492   EXPECT_EQ(APInt(8, 4),  APInt(8, 16).rotr(2));
1493   EXPECT_EQ(APInt(8, 1),  APInt(8, 16).rotr(4));
1494   EXPECT_EQ(APInt(8, 16), APInt(8, 16).rotr(8));
1495 
1496   EXPECT_EQ(APInt(8, 1),   APInt(8, 1).rotr(0));
1497   EXPECT_EQ(APInt(8, 128), APInt(8, 1).rotr(1));
1498   EXPECT_EQ(APInt(8, 64),  APInt(8, 1).rotr(2));
1499   EXPECT_EQ(APInt(8, 16),  APInt(8, 1).rotr(4));
1500   EXPECT_EQ(APInt(8, 1),   APInt(8, 1).rotr(8));
1501 
1502   EXPECT_EQ(APInt(32, (1 << 31)), APInt(32, 1).rotr(33));
1503   EXPECT_EQ(APInt(32, (1 << 31)), APInt(32, 1).rotr(APInt(32, 33)));
1504 
1505   EXPECT_EQ(APInt(32, (1 << 31)), APInt(32, 1).rotr(33));
1506   EXPECT_EQ(APInt(32, (1 << 31)), APInt(32, 1).rotr(APInt(32, 33)));
1507   EXPECT_EQ(APInt(32, (1 << 31)), APInt(32, 1).rotr(APInt(33, 33)));
1508   EXPECT_EQ(APInt(32, (1 << 24)), APInt(32, 1).rotr(APInt(32, 40)));
1509 
1510   EXPECT_EQ(APInt(32, (1 << 2)), APInt(32, 1).rotr(APInt(31, 30)));
1511   EXPECT_EQ(APInt(32, (1 << 1)), APInt(32, 1).rotr(APInt(31, 31)));
1512 
1513   EXPECT_EQ(APInt(32, 1), APInt(32, 1).rotr(APInt(1, 0)));
1514   EXPECT_EQ(APInt(32, (1 << 31)), APInt(32, 1).rotr(APInt(1, 1)));
1515 
1516   EXPECT_EQ(APInt(32, (1 << 28)), APInt(32, 1).rotr(APInt(3, 4)));
1517 
1518   EXPECT_EQ(APInt(32, 1), APInt(32, 1).rotr(APInt(64, 64)));
1519   EXPECT_EQ(APInt(32, (1 << 31)), APInt(32, 1).rotr(APInt(64, 65)));
1520 
1521   EXPECT_EQ(APInt(7, 48), APInt(7, 3).rotr(APInt(7, 3)));
1522   EXPECT_EQ(APInt(7, 48), APInt(7, 3).rotr(APInt(7, 10)));
1523   EXPECT_EQ(APInt(7, 48), APInt(7, 3).rotr(APInt(5, 10)));
1524   EXPECT_EQ(APInt(7, 65), APInt(7, 3).rotr(APInt(12, 120)));
1525 
1526   APInt Big(256, "00004000800000000000000000003fff8000000000000003", 16);
1527   APInt Rot(256, "3fff80000000000000030000000000000000000040008000", 16);
1528   EXPECT_EQ(Rot, Big.rotr(144));
1529 
1530   EXPECT_EQ(APInt(32, 8), APInt(32, 1).rotl(Big));
1531   EXPECT_EQ(APInt(32, (1 << 29)), APInt(32, 1).rotr(Big));
1532 }
1533 
1534 TEST(APIntTest, Splat) {
1535   APInt ValA(8, 0x01);
1536   EXPECT_EQ(ValA, APInt::getSplat(8, ValA));
1537   EXPECT_EQ(APInt(64, 0x0101010101010101ULL), APInt::getSplat(64, ValA));
1538 
1539   APInt ValB(3, 5);
1540   EXPECT_EQ(APInt(4, 0xD), APInt::getSplat(4, ValB));
1541   EXPECT_EQ(APInt(15, 0xDB6D), APInt::getSplat(15, ValB));
1542 }
1543 
1544 TEST(APIntTest, tcDecrement) {
1545   // Test single word decrement.
1546 
1547   // No out borrow.
1548   {
1549     APInt::WordType singleWord = ~APInt::WordType(0) << (APInt::APINT_BITS_PER_WORD - 1);
1550     APInt::WordType carry = APInt::tcDecrement(&singleWord, 1);
1551     EXPECT_EQ(carry, APInt::WordType(0));
1552     EXPECT_EQ(singleWord, ~APInt::WordType(0) >> 1);
1553   }
1554 
1555   // With out borrow.
1556   {
1557     APInt::WordType singleWord = 0;
1558     APInt::WordType carry = APInt::tcDecrement(&singleWord, 1);
1559     EXPECT_EQ(carry, APInt::WordType(1));
1560     EXPECT_EQ(singleWord, ~APInt::WordType(0));
1561   }
1562 
1563   // Test multiword decrement.
1564 
1565   // No across word borrow, no out borrow.
1566   {
1567     APInt::WordType test[4] = {0x1, 0x1, 0x1, 0x1};
1568     APInt::WordType expected[4] = {0x0, 0x1, 0x1, 0x1};
1569     APInt::tcDecrement(test, 4);
1570     EXPECT_EQ(APInt::tcCompare(test, expected, 4), 0);
1571   }
1572 
1573   // 1 across word borrow, no out borrow.
1574   {
1575     APInt::WordType test[4] = {0x0, 0xF, 0x1, 0x1};
1576     APInt::WordType expected[4] = {~APInt::WordType(0), 0xE, 0x1, 0x1};
1577     APInt::WordType carry = APInt::tcDecrement(test, 4);
1578     EXPECT_EQ(carry, APInt::WordType(0));
1579     EXPECT_EQ(APInt::tcCompare(test, expected, 4), 0);
1580   }
1581 
1582   // 2 across word borrow, no out borrow.
1583   {
1584     APInt::WordType test[4] = {0x0, 0x0, 0xC, 0x1};
1585     APInt::WordType expected[4] = {~APInt::WordType(0), ~APInt::WordType(0), 0xB, 0x1};
1586     APInt::WordType carry = APInt::tcDecrement(test, 4);
1587     EXPECT_EQ(carry, APInt::WordType(0));
1588     EXPECT_EQ(APInt::tcCompare(test, expected, 4), 0);
1589   }
1590 
1591   // 3 across word borrow, no out borrow.
1592   {
1593     APInt::WordType test[4] = {0x0, 0x0, 0x0, 0x1};
1594     APInt::WordType expected[4] = {~APInt::WordType(0), ~APInt::WordType(0), ~APInt::WordType(0), 0x0};
1595     APInt::WordType carry = APInt::tcDecrement(test, 4);
1596     EXPECT_EQ(carry, APInt::WordType(0));
1597     EXPECT_EQ(APInt::tcCompare(test, expected, 4), 0);
1598   }
1599 
1600   // 3 across word borrow, with out borrow.
1601   {
1602     APInt::WordType test[4] = {0x0, 0x0, 0x0, 0x0};
1603     APInt::WordType expected[4] = {~APInt::WordType(0), ~APInt::WordType(0), ~APInt::WordType(0), ~APInt::WordType(0)};
1604     APInt::WordType carry = APInt::tcDecrement(test, 4);
1605     EXPECT_EQ(carry, APInt::WordType(1));
1606     EXPECT_EQ(APInt::tcCompare(test, expected, 4), 0);
1607   }
1608 }
1609 
1610 TEST(APIntTest, arrayAccess) {
1611   // Single word check.
1612   uint64_t E1 = 0x2CA7F46BF6569915ULL;
1613   APInt A1(64, E1);
1614   for (unsigned i = 0, e = 64; i < e; ++i) {
1615     EXPECT_EQ(bool(E1 & (1ULL << i)),
1616               A1[i]);
1617   }
1618 
1619   // Multiword check.
1620   APInt::WordType E2[4] = {
1621     0xEB6EB136591CBA21ULL,
1622     0x7B9358BD6A33F10AULL,
1623     0x7E7FFA5EADD8846ULL,
1624     0x305F341CA00B613DULL
1625   };
1626   APInt A2(APInt::APINT_BITS_PER_WORD*4, E2);
1627   for (unsigned i = 0; i < 4; ++i) {
1628     for (unsigned j = 0; j < APInt::APINT_BITS_PER_WORD; ++j) {
1629       EXPECT_EQ(bool(E2[i] & (1ULL << j)),
1630                 A2[i*APInt::APINT_BITS_PER_WORD + j]);
1631     }
1632   }
1633 }
1634 
1635 TEST(APIntTest, LargeAPIntConstruction) {
1636   // Check that we can properly construct very large APInt. It is very
1637   // unlikely that people will ever do this, but it is a legal input,
1638   // so we should not crash on it.
1639   APInt A9(UINT32_MAX, 0);
1640   EXPECT_FALSE(A9.getBoolValue());
1641 }
1642 
1643 TEST(APIntTest, nearestLogBase2) {
1644   // Single word check.
1645 
1646   // Test round up.
1647   uint64_t I1 = 0x1800001;
1648   APInt A1(64, I1);
1649   EXPECT_EQ(A1.nearestLogBase2(), A1.ceilLogBase2());
1650 
1651   // Test round down.
1652   uint64_t I2 = 0x1000011;
1653   APInt A2(64, I2);
1654   EXPECT_EQ(A2.nearestLogBase2(), A2.logBase2());
1655 
1656   // Test ties round up.
1657   uint64_t I3 = 0x1800000;
1658   APInt A3(64, I3);
1659   EXPECT_EQ(A3.nearestLogBase2(), A3.ceilLogBase2());
1660 
1661   // Multiple word check.
1662 
1663   // Test round up.
1664   APInt::WordType I4[4] = {0x0, 0xF, 0x18, 0x0};
1665   APInt A4(APInt::APINT_BITS_PER_WORD*4, I4);
1666   EXPECT_EQ(A4.nearestLogBase2(), A4.ceilLogBase2());
1667 
1668   // Test round down.
1669   APInt::WordType I5[4] = {0x0, 0xF, 0x10, 0x0};
1670   APInt A5(APInt::APINT_BITS_PER_WORD*4, I5);
1671   EXPECT_EQ(A5.nearestLogBase2(), A5.logBase2());
1672 
1673   // Test ties round up.
1674   uint64_t I6[4] = {0x0, 0x0, 0x0, 0x18};
1675   APInt A6(APInt::APINT_BITS_PER_WORD*4, I6);
1676   EXPECT_EQ(A6.nearestLogBase2(), A6.ceilLogBase2());
1677 
1678   // Test BitWidth == 1 special cases.
1679   APInt A7(1, 1);
1680   EXPECT_EQ(A7.nearestLogBase2(), 0ULL);
1681   APInt A8(1, 0);
1682   EXPECT_EQ(A8.nearestLogBase2(), UINT32_MAX);
1683 
1684   // Test the zero case when we have a bit width large enough such
1685   // that the bit width is larger than UINT32_MAX-1.
1686   APInt A9(UINT32_MAX, 0);
1687   EXPECT_EQ(A9.nearestLogBase2(), UINT32_MAX);
1688 }
1689 
1690 TEST(APIntTest, IsSplat) {
1691   APInt A(32, 0x01010101);
1692   EXPECT_FALSE(A.isSplat(1));
1693   EXPECT_FALSE(A.isSplat(2));
1694   EXPECT_FALSE(A.isSplat(4));
1695   EXPECT_TRUE(A.isSplat(8));
1696   EXPECT_TRUE(A.isSplat(16));
1697   EXPECT_TRUE(A.isSplat(32));
1698 
1699   APInt B(24, 0xAAAAAA);
1700   EXPECT_FALSE(B.isSplat(1));
1701   EXPECT_TRUE(B.isSplat(2));
1702   EXPECT_TRUE(B.isSplat(4));
1703   EXPECT_TRUE(B.isSplat(8));
1704   EXPECT_TRUE(B.isSplat(24));
1705 
1706   APInt C(24, 0xABAAAB);
1707   EXPECT_FALSE(C.isSplat(1));
1708   EXPECT_FALSE(C.isSplat(2));
1709   EXPECT_FALSE(C.isSplat(4));
1710   EXPECT_FALSE(C.isSplat(8));
1711   EXPECT_TRUE(C.isSplat(24));
1712 
1713   APInt D(32, 0xABBAABBA);
1714   EXPECT_FALSE(D.isSplat(1));
1715   EXPECT_FALSE(D.isSplat(2));
1716   EXPECT_FALSE(D.isSplat(4));
1717   EXPECT_FALSE(D.isSplat(8));
1718   EXPECT_TRUE(D.isSplat(16));
1719   EXPECT_TRUE(D.isSplat(32));
1720 
1721   APInt E(32, 0);
1722   EXPECT_TRUE(E.isSplat(1));
1723   EXPECT_TRUE(E.isSplat(2));
1724   EXPECT_TRUE(E.isSplat(4));
1725   EXPECT_TRUE(E.isSplat(8));
1726   EXPECT_TRUE(E.isSplat(16));
1727   EXPECT_TRUE(E.isSplat(32));
1728 }
1729 
1730 TEST(APIntTest, isMask) {
1731   EXPECT_FALSE(APInt(32, 0x01010101).isMask());
1732   EXPECT_FALSE(APInt(32, 0xf0000000).isMask());
1733   EXPECT_FALSE(APInt(32, 0xffff0000).isMask());
1734   EXPECT_FALSE(APInt(32, 0xff << 1).isMask());
1735 
1736   for (int N : { 1, 2, 3, 4, 7, 8, 16, 32, 64, 127, 128, 129, 256 }) {
1737     EXPECT_FALSE(APInt(N, 0).isMask());
1738 
1739     APInt One(N, 1);
1740     for (int I = 1; I <= N; ++I) {
1741       APInt MaskVal = One.shl(I) - 1;
1742       EXPECT_TRUE(MaskVal.isMask());
1743       EXPECT_TRUE(MaskVal.isMask(I));
1744     }
1745   }
1746 }
1747 
1748 TEST(APIntTest, isShiftedMask) {
1749   EXPECT_FALSE(APInt(32, 0x01010101).isShiftedMask());
1750   EXPECT_TRUE(APInt(32, 0xf0000000).isShiftedMask());
1751   EXPECT_TRUE(APInt(32, 0xffff0000).isShiftedMask());
1752   EXPECT_TRUE(APInt(32, 0xff << 1).isShiftedMask());
1753 
1754   unsigned MaskIdx, MaskLen;
1755   EXPECT_FALSE(APInt(32, 0x01010101).isShiftedMask(MaskIdx, MaskLen));
1756   EXPECT_TRUE(APInt(32, 0xf0000000).isShiftedMask(MaskIdx, MaskLen));
1757   EXPECT_EQ(28, (int)MaskIdx);
1758   EXPECT_EQ(4, (int)MaskLen);
1759   EXPECT_TRUE(APInt(32, 0xffff0000).isShiftedMask(MaskIdx, MaskLen));
1760   EXPECT_EQ(16, (int)MaskIdx);
1761   EXPECT_EQ(16, (int)MaskLen);
1762   EXPECT_TRUE(APInt(32, 0xff << 1).isShiftedMask(MaskIdx, MaskLen));
1763   EXPECT_EQ(1, (int)MaskIdx);
1764   EXPECT_EQ(8, (int)MaskLen);
1765 
1766   for (int N : { 1, 2, 3, 4, 7, 8, 16, 32, 64, 127, 128, 129, 256 }) {
1767     EXPECT_FALSE(APInt(N, 0).isShiftedMask());
1768     EXPECT_FALSE(APInt(N, 0).isShiftedMask(MaskIdx, MaskLen));
1769 
1770     APInt One(N, 1);
1771     for (int I = 1; I < N; ++I) {
1772       APInt MaskVal = One.shl(I) - 1;
1773       EXPECT_TRUE(MaskVal.isShiftedMask());
1774       EXPECT_TRUE(MaskVal.isShiftedMask(MaskIdx, MaskLen));
1775       EXPECT_EQ(0, (int)MaskIdx);
1776       EXPECT_EQ(I, (int)MaskLen);
1777     }
1778     for (int I = 1; I < N - 1; ++I) {
1779       APInt MaskVal = One.shl(I);
1780       EXPECT_TRUE(MaskVal.isShiftedMask());
1781       EXPECT_TRUE(MaskVal.isShiftedMask(MaskIdx, MaskLen));
1782       EXPECT_EQ(I, (int)MaskIdx);
1783       EXPECT_EQ(1, (int)MaskLen);
1784     }
1785     for (int I = 1; I < N; ++I) {
1786       APInt MaskVal = APInt::getHighBitsSet(N, I);
1787       EXPECT_TRUE(MaskVal.isShiftedMask());
1788       EXPECT_TRUE(MaskVal.isShiftedMask(MaskIdx, MaskLen));
1789       EXPECT_EQ(N - I, (int)MaskIdx);
1790       EXPECT_EQ(I, (int)MaskLen);
1791     }
1792   }
1793 }
1794 
1795 TEST(APIntTest, isPowerOf2) {
1796   EXPECT_FALSE(APInt(5, 0x00).isPowerOf2());
1797   EXPECT_FALSE(APInt(32, 0x11).isPowerOf2());
1798   EXPECT_TRUE(APInt(17, 0x01).isPowerOf2());
1799   EXPECT_TRUE(APInt(32, (unsigned)(0xffu << 31)).isPowerOf2());
1800 
1801   for (int N : {1, 2, 3, 4, 7, 8, 16, 32, 64, 127, 128, 129, 256}) {
1802     EXPECT_FALSE(APInt(N, 0).isPowerOf2());
1803     EXPECT_TRUE(APInt::getSignedMinValue(N).isPowerOf2());
1804 
1805     APInt One(N, 1);
1806     for (int I = 1; I < N - 1; ++I) {
1807       EXPECT_TRUE(APInt::getOneBitSet(N, I).isPowerOf2());
1808 
1809       APInt MaskVal = One.shl(I);
1810       EXPECT_TRUE(MaskVal.isPowerOf2());
1811     }
1812   }
1813 }
1814 
1815 TEST(APIntTest, isNegatedPowerOf2) {
1816   EXPECT_FALSE(APInt(5, 0x00).isNegatedPowerOf2());
1817   EXPECT_TRUE(APInt(15, 0x7ffe).isNegatedPowerOf2());
1818   EXPECT_TRUE(APInt(16, 0xfffc).isNegatedPowerOf2());
1819   EXPECT_TRUE(APInt(32, 0xffffffff).isNegatedPowerOf2());
1820 
1821   for (int N : {1, 2, 3, 4, 7, 8, 16, 32, 64, 127, 128, 129, 256}) {
1822     EXPECT_FALSE(APInt(N, 0).isNegatedPowerOf2());
1823     EXPECT_TRUE(APInt::getAllOnes(N).isNegatedPowerOf2());
1824     EXPECT_TRUE(APInt::getSignedMinValue(N).isNegatedPowerOf2());
1825     EXPECT_TRUE((-APInt::getSignedMinValue(N)).isNegatedPowerOf2());
1826 
1827     APInt One(N, 1);
1828     for (int I = 1; I < N - 1; ++I) {
1829       EXPECT_FALSE(APInt::getOneBitSet(N, I).isNegatedPowerOf2());
1830       EXPECT_TRUE((-APInt::getOneBitSet(N, I)).isNegatedPowerOf2());
1831 
1832       APInt MaskVal = One.shl(I);
1833       EXPECT_TRUE((-MaskVal).isNegatedPowerOf2());
1834 
1835       APInt ShiftMaskVal = One.getHighBitsSet(N, I);
1836       EXPECT_TRUE(ShiftMaskVal.isNegatedPowerOf2());
1837     }
1838   }
1839 }
1840 
1841 // Test that self-move works with EXPENSIVE_CHECKS. It calls std::shuffle which
1842 // does self-move on some platforms.
1843 #ifdef EXPENSIVE_CHECKS
1844 #if defined(__clang__)
1845 // Disable the pragma warning from versions of Clang without -Wself-move
1846 #pragma clang diagnostic push
1847 #pragma clang diagnostic ignored "-Wunknown-pragmas"
1848 // Disable the warning that triggers on exactly what is being tested.
1849 #pragma clang diagnostic push
1850 #pragma clang diagnostic ignored "-Wself-move"
1851 #endif
1852 TEST(APIntTest, SelfMoveAssignment) {
1853   APInt X(32, 0xdeadbeef);
1854   X = std::move(X);
1855   EXPECT_EQ(32u, X.getBitWidth());
1856   EXPECT_EQ(0xdeadbeefULL, X.getLimitedValue());
1857 
1858   uint64_t Bits[] = {0xdeadbeefdeadbeefULL, 0xdeadbeefdeadbeefULL};
1859   APInt Y(128, Bits);
1860   Y = std::move(Y);
1861   EXPECT_EQ(128u, Y.getBitWidth());
1862   EXPECT_EQ(~0ULL, Y.getLimitedValue());
1863   const uint64_t *Raw = Y.getRawData();
1864   EXPECT_EQ(2u, Y.getNumWords());
1865   EXPECT_EQ(0xdeadbeefdeadbeefULL, Raw[0]);
1866   EXPECT_EQ(0xdeadbeefdeadbeefULL, Raw[1]);
1867 }
1868 #if defined(__clang__)
1869 #pragma clang diagnostic pop
1870 #pragma clang diagnostic pop
1871 #endif
1872 #endif // EXPENSIVE_CHECKS
1873 
1874 TEST(APIntTest, byteSwap) {
1875   EXPECT_EQ(0x00000000, APInt(16, 0x0000).byteSwap());
1876   EXPECT_EQ(0x0000010f, APInt(16, 0x0f01).byteSwap());
1877   EXPECT_EQ(0x00ff8000, APInt(24, 0x0080ff).byteSwap());
1878   EXPECT_EQ(0x117700ff, APInt(32, 0xff007711).byteSwap());
1879   EXPECT_EQ(0x228811aaffULL, APInt(40, 0xffaa118822ULL).byteSwap());
1880   EXPECT_EQ(0x050403020100ULL, APInt(48, 0x000102030405ULL).byteSwap());
1881   EXPECT_EQ(0xff050403020100ULL, APInt(56, 0x000102030405ffULL).byteSwap());
1882   EXPECT_EQ(0xff050403020100aaULL, APInt(64, 0xaa000102030405ffULL).byteSwap());
1883 
1884   for (unsigned N : {16, 24, 32, 48, 56, 64, 72, 80, 96, 112, 128, 248, 256,
1885                      1024, 1032, 1040}) {
1886     for (unsigned I = 0; I < N; I += 8) {
1887       APInt X = APInt::getBitsSet(N, I, I + 8);
1888       APInt Y = APInt::getBitsSet(N, N - I - 8, N - I);
1889       EXPECT_EQ(Y, X.byteSwap());
1890       EXPECT_EQ(X, Y.byteSwap());
1891     }
1892   }
1893 }
1894 
1895 TEST(APIntTest, reverseBits) {
1896   EXPECT_EQ(1, APInt(1, 1).reverseBits());
1897   EXPECT_EQ(0, APInt(1, 0).reverseBits());
1898 
1899   EXPECT_EQ(3, APInt(2, 3).reverseBits());
1900   EXPECT_EQ(3, APInt(2, 3).reverseBits());
1901 
1902   EXPECT_EQ(0xb, APInt(4, 0xd).reverseBits());
1903   EXPECT_EQ(0xd, APInt(4, 0xb).reverseBits());
1904   EXPECT_EQ(0xf, APInt(4, 0xf).reverseBits());
1905 
1906   EXPECT_EQ(0x30, APInt(7, 0x6).reverseBits());
1907   EXPECT_EQ(0x5a, APInt(7, 0x2d).reverseBits());
1908 
1909   EXPECT_EQ(0x0f, APInt(8, 0xf0).reverseBits());
1910   EXPECT_EQ(0xf0, APInt(8, 0x0f).reverseBits());
1911 
1912   EXPECT_EQ(0x0f0f, APInt(16, 0xf0f0).reverseBits());
1913   EXPECT_EQ(0xf0f0, APInt(16, 0x0f0f).reverseBits());
1914 
1915   EXPECT_EQ(0x0f0f0f0f, APInt(32, 0xf0f0f0f0).reverseBits());
1916   EXPECT_EQ(0xf0f0f0f0, APInt(32, 0x0f0f0f0f).reverseBits());
1917 
1918   EXPECT_EQ(0x402880a0 >> 1, APInt(31, 0x05011402).reverseBits());
1919 
1920   EXPECT_EQ(0x0f0f0f0f, APInt(32, 0xf0f0f0f0).reverseBits());
1921   EXPECT_EQ(0xf0f0f0f0, APInt(32, 0x0f0f0f0f).reverseBits());
1922 
1923   EXPECT_EQ(0x0f0f0f0f0f0f0f0f, APInt(64, 0xf0f0f0f0f0f0f0f0).reverseBits());
1924   EXPECT_EQ(0xf0f0f0f0f0f0f0f0, APInt(64, 0x0f0f0f0f0f0f0f0f).reverseBits());
1925 
1926   for (unsigned N : { 1, 8, 16, 24, 31, 32, 33,
1927                       63, 64, 65, 127, 128, 257, 1024 }) {
1928     for (unsigned I = 0; I < N; ++I) {
1929       APInt X = APInt::getOneBitSet(N, I);
1930       APInt Y = APInt::getOneBitSet(N, N - (I + 1));
1931       EXPECT_EQ(Y, X.reverseBits());
1932       EXPECT_EQ(X, Y.reverseBits());
1933     }
1934   }
1935 }
1936 
1937 TEST(APIntTest, insertBits) {
1938   APInt iSrc(31, 0x00123456);
1939 
1940   // Direct copy.
1941   APInt i31(31, 0x76543210ull);
1942   i31.insertBits(iSrc, 0);
1943   EXPECT_EQ(static_cast<int64_t>(0x00123456ull), i31.getSExtValue());
1944 
1945   // Single word src/dst insertion.
1946   APInt i63(63, 0x01234567FFFFFFFFull);
1947   i63.insertBits(iSrc, 4);
1948   EXPECT_EQ(static_cast<int64_t>(0x012345600123456Full), i63.getSExtValue());
1949 
1950   // Zero width insert is a noop.
1951   i31.insertBits(APInt::getZeroWidth(), 1);
1952   EXPECT_EQ(static_cast<int64_t>(0x00123456ull), i31.getSExtValue());
1953 
1954   // Insert single word src into one word of dst.
1955   APInt i120(120, UINT64_MAX, true);
1956   i120.insertBits(iSrc, 8);
1957   EXPECT_EQ(static_cast<int64_t>(0xFFFFFF80123456FFull), i120.getSExtValue());
1958 
1959   // Insert single word src into two words of dst.
1960   APInt i127(127, UINT64_MAX, true);
1961   i127.insertBits(iSrc, 48);
1962   EXPECT_EQ(i127.extractBits(64, 0).getZExtValue(), 0x3456FFFFFFFFFFFFull);
1963   EXPECT_EQ(i127.extractBits(63, 64).getZExtValue(), 0x7FFFFFFFFFFF8012ull);
1964 
1965   // Insert on word boundaries.
1966   APInt i128(128, 0);
1967   i128.insertBits(APInt(64, UINT64_MAX, true), 0);
1968   i128.insertBits(APInt(64, UINT64_MAX, true), 64);
1969   EXPECT_EQ(-1, i128.getSExtValue());
1970 
1971   APInt i256(256, UINT64_MAX, true);
1972   i256.insertBits(APInt(65, 0), 0);
1973   i256.insertBits(APInt(69, 0), 64);
1974   i256.insertBits(APInt(128, 0), 128);
1975   EXPECT_EQ(0u, i256.getSExtValue());
1976 
1977   APInt i257(257, 0);
1978   i257.insertBits(APInt(96, UINT64_MAX, true), 64);
1979   EXPECT_EQ(i257.extractBits(64, 0).getZExtValue(), 0x0000000000000000ull);
1980   EXPECT_EQ(i257.extractBits(64, 64).getZExtValue(), 0xFFFFFFFFFFFFFFFFull);
1981   EXPECT_EQ(i257.extractBits(64, 128).getZExtValue(), 0x00000000FFFFFFFFull);
1982   EXPECT_EQ(i257.extractBits(65, 192).getZExtValue(), 0x0000000000000000ull);
1983 
1984   // General insertion.
1985   APInt i260(260, UINT64_MAX, true);
1986   i260.insertBits(APInt(129, 1ull << 48), 15);
1987   EXPECT_EQ(i260.extractBits(64, 0).getZExtValue(), 0x8000000000007FFFull);
1988   EXPECT_EQ(i260.extractBits(64, 64).getZExtValue(), 0x0000000000000000ull);
1989   EXPECT_EQ(i260.extractBits(64, 128).getZExtValue(), 0xFFFFFFFFFFFF0000ull);
1990   EXPECT_EQ(i260.extractBits(64, 192).getZExtValue(), 0xFFFFFFFFFFFFFFFFull);
1991   EXPECT_EQ(i260.extractBits(4, 256).getZExtValue(), 0x000000000000000Full);
1992 }
1993 
1994 TEST(APIntTest, insertBitsUInt64) {
1995   // Tests cloned from insertBits but adapted to the numBits <= 64 constraint
1996   uint64_t iSrc = 0x00123456;
1997 
1998   // Direct copy.
1999   APInt i31(31, 0x76543210ull);
2000   i31.insertBits(iSrc, 0, 31);
2001   EXPECT_EQ(static_cast<int64_t>(0x00123456ull), i31.getSExtValue());
2002 
2003   // Single word src/dst insertion.
2004   APInt i63(63, 0x01234567FFFFFFFFull);
2005   i63.insertBits(iSrc, 4, 31);
2006   EXPECT_EQ(static_cast<int64_t>(0x012345600123456Full), i63.getSExtValue());
2007 
2008   // Insert single word src into one word of dst.
2009   APInt i120(120, UINT64_MAX, true);
2010   i120.insertBits(iSrc, 8, 31);
2011   EXPECT_EQ(static_cast<int64_t>(0xFFFFFF80123456FFull), i120.getSExtValue());
2012 
2013   // Insert single word src into two words of dst.
2014   APInt i127(127, UINT64_MAX, true);
2015   i127.insertBits(iSrc, 48, 31);
2016   EXPECT_EQ(i127.extractBits(64, 0).getZExtValue(), 0x3456FFFFFFFFFFFFull);
2017   EXPECT_EQ(i127.extractBits(63, 64).getZExtValue(), 0x7FFFFFFFFFFF8012ull);
2018 
2019   // Insert on word boundaries.
2020   APInt i128(128, 0);
2021   i128.insertBits(UINT64_MAX, 0, 64);
2022   i128.insertBits(UINT64_MAX, 64, 64);
2023   EXPECT_EQ(-1, i128.getSExtValue());
2024 
2025   APInt i256(256, UINT64_MAX, true);
2026   i256.insertBits(0, 0, 64);
2027   i256.insertBits(0, 64, 1);
2028   i256.insertBits(0, 64, 64);
2029   i256.insertBits(0, 128, 5);
2030   i256.insertBits(0, 128, 64);
2031   i256.insertBits(0, 192, 64);
2032   EXPECT_EQ(0u, i256.getSExtValue());
2033 
2034   APInt i257(257, 0);
2035   i257.insertBits(APInt(96, UINT64_MAX, true), 64);
2036   EXPECT_EQ(i257.extractBitsAsZExtValue(64, 0), 0x0000000000000000ull);
2037   EXPECT_EQ(i257.extractBitsAsZExtValue(64, 64), 0xFFFFFFFFFFFFFFFFull);
2038   EXPECT_EQ(i257.extractBitsAsZExtValue(64, 128), 0x00000000FFFFFFFFull);
2039   EXPECT_EQ(i257.extractBitsAsZExtValue(64, 192), 0x0000000000000000ull);
2040   EXPECT_EQ(i257.extractBitsAsZExtValue(1, 256), 0x0000000000000000ull);
2041 
2042   // General insertion.
2043   APInt i260(260, UINT64_MAX, true);
2044   i260.insertBits(APInt(129, 1ull << 48), 15);
2045   EXPECT_EQ(i260.extractBitsAsZExtValue(64, 0), 0x8000000000007FFFull);
2046   EXPECT_EQ(i260.extractBitsAsZExtValue(64, 64), 0x0000000000000000ull);
2047   EXPECT_EQ(i260.extractBitsAsZExtValue(64, 128), 0xFFFFFFFFFFFF0000ull);
2048   EXPECT_EQ(i260.extractBitsAsZExtValue(64, 192), 0xFFFFFFFFFFFFFFFFull);
2049   EXPECT_EQ(i260.extractBitsAsZExtValue(4, 256), 0x000000000000000Full);
2050 }
2051 
2052 TEST(APIntTest, extractBits) {
2053   APInt i32(32, 0x1234567);
2054   EXPECT_EQ(0x3456, i32.extractBits(16, 4));
2055 
2056   APInt i64(64, 0x01234567FFFFFFFFull);
2057   EXPECT_EQ(0xFFFFFFFF, i64.extractBits(32, 0));
2058   EXPECT_EQ(0xFFFFFFFF, i64.trunc(32));
2059   EXPECT_EQ(0x01234567, i64.extractBits(32, 32));
2060   EXPECT_EQ(0x01234567, i64.lshr(32).trunc(32));
2061 
2062   APInt i257(257, 0xFFFFFFFFFF0000FFull, true);
2063   EXPECT_EQ(0xFFu, i257.extractBits(16, 0));
2064   EXPECT_EQ(0xFFu, i257.lshr(0).trunc(16));
2065   EXPECT_EQ((0xFFu >> 1), i257.extractBits(16, 1));
2066   EXPECT_EQ((0xFFu >> 1), i257.lshr(1).trunc(16));
2067   EXPECT_EQ(-1, i257.extractBits(32, 64).getSExtValue());
2068   EXPECT_EQ(-1, i257.lshr(64).trunc(32).getSExtValue());
2069   EXPECT_EQ(-1, i257.extractBits(128, 128).getSExtValue());
2070   EXPECT_EQ(-1, i257.lshr(128).trunc(128).getSExtValue());
2071   EXPECT_EQ(-1, i257.extractBits(66, 191).getSExtValue());
2072   EXPECT_EQ(-1, i257.lshr(191).trunc(66).getSExtValue());
2073   EXPECT_EQ(static_cast<int64_t>(0xFFFFFFFFFF80007Full),
2074             i257.extractBits(128, 1).getSExtValue());
2075   EXPECT_EQ(static_cast<int64_t>(0xFFFFFFFFFF80007Full),
2076             i257.lshr(1).trunc(128).getSExtValue());
2077   EXPECT_EQ(static_cast<int64_t>(0xFFFFFFFFFF80007Full),
2078             i257.extractBits(129, 1).getSExtValue());
2079   EXPECT_EQ(static_cast<int64_t>(0xFFFFFFFFFF80007Full),
2080             i257.lshr(1).trunc(129).getSExtValue());
2081 
2082   EXPECT_EQ(APInt(48, 0),
2083             APInt(144, "281474976710655", 10).extractBits(48, 48));
2084   EXPECT_EQ(APInt(48, 0),
2085             APInt(144, "281474976710655", 10).lshr(48).trunc(48));
2086   EXPECT_EQ(APInt(48, 0x0000ffffffffffffull),
2087             APInt(144, "281474976710655", 10).extractBits(48, 0));
2088   EXPECT_EQ(APInt(48, 0x0000ffffffffffffull),
2089             APInt(144, "281474976710655", 10).lshr(0).trunc(48));
2090   EXPECT_EQ(APInt(48, 0x00007fffffffffffull),
2091             APInt(144, "281474976710655", 10).extractBits(48, 1));
2092   EXPECT_EQ(APInt(48, 0x00007fffffffffffull),
2093             APInt(144, "281474976710655", 10).lshr(1).trunc(48));
2094 }
2095 
2096 TEST(APIntTest, extractBitsAsZExtValue) {
2097   // Tests based on extractBits
2098   APInt i32(32, 0x1234567);
2099   EXPECT_EQ(0x3456u, i32.extractBitsAsZExtValue(16, 4));
2100 
2101   APInt i257(257, 0xFFFFFFFFFF0000FFull, true);
2102   EXPECT_EQ(0xFFu, i257.extractBitsAsZExtValue(16, 0));
2103   EXPECT_EQ((0xFFu >> 1), i257.extractBitsAsZExtValue(16, 1));
2104   EXPECT_EQ(0xFFFFFFFFull, i257.extractBitsAsZExtValue(32, 64));
2105   EXPECT_EQ(0xFFFFFFFFFFFFFFFFull, i257.extractBitsAsZExtValue(64, 128));
2106   EXPECT_EQ(0xFFFFFFFFFFFFFFFFull, i257.extractBitsAsZExtValue(64, 192));
2107   EXPECT_EQ(0xFFFFFFFFFFFFFFFFull, i257.extractBitsAsZExtValue(64, 191));
2108   EXPECT_EQ(0x3u, i257.extractBitsAsZExtValue(2, 255));
2109   EXPECT_EQ(0xFFFFFFFFFF80007Full, i257.extractBitsAsZExtValue(64, 1));
2110   EXPECT_EQ(0xFFFFFFFFFFFFFFFFull, i257.extractBitsAsZExtValue(64, 65));
2111   EXPECT_EQ(0xFFFFFFFFFF80007Full, i257.extractBitsAsZExtValue(64, 1));
2112   EXPECT_EQ(0xFFFFFFFFFFFFFFFFull, i257.extractBitsAsZExtValue(64, 65));
2113   EXPECT_EQ(0x1ull, i257.extractBitsAsZExtValue(1, 129));
2114 
2115   EXPECT_EQ(APInt(48, 0),
2116             APInt(144, "281474976710655", 10).extractBitsAsZExtValue(48, 48));
2117   EXPECT_EQ(APInt(48, 0x0000ffffffffffffull),
2118             APInt(144, "281474976710655", 10).extractBitsAsZExtValue(48, 0));
2119   EXPECT_EQ(APInt(48, 0x00007fffffffffffull),
2120             APInt(144, "281474976710655", 10).extractBitsAsZExtValue(48, 1));
2121 }
2122 
2123 TEST(APIntTest, getLowBitsSet) {
2124   APInt i128lo64 = APInt::getLowBitsSet(128, 64);
2125   EXPECT_EQ(0u, i128lo64.countLeadingOnes());
2126   EXPECT_EQ(64u, i128lo64.countLeadingZeros());
2127   EXPECT_EQ(64u, i128lo64.getActiveBits());
2128   EXPECT_EQ(0u, i128lo64.countTrailingZeros());
2129   EXPECT_EQ(64u, i128lo64.countTrailingOnes());
2130   EXPECT_EQ(64u, i128lo64.countPopulation());
2131 }
2132 
2133 TEST(APIntTest, getBitsSet) {
2134   APInt i64hi1lo1 = APInt::getBitsSet(64, 1, 63);
2135   EXPECT_EQ(0u, i64hi1lo1.countLeadingOnes());
2136   EXPECT_EQ(1u, i64hi1lo1.countLeadingZeros());
2137   EXPECT_EQ(63u, i64hi1lo1.getActiveBits());
2138   EXPECT_EQ(1u, i64hi1lo1.countTrailingZeros());
2139   EXPECT_EQ(0u, i64hi1lo1.countTrailingOnes());
2140   EXPECT_EQ(62u, i64hi1lo1.countPopulation());
2141 
2142   APInt i127hi1lo1 = APInt::getBitsSet(127, 1, 126);
2143   EXPECT_EQ(0u, i127hi1lo1.countLeadingOnes());
2144   EXPECT_EQ(1u, i127hi1lo1.countLeadingZeros());
2145   EXPECT_EQ(126u, i127hi1lo1.getActiveBits());
2146   EXPECT_EQ(1u, i127hi1lo1.countTrailingZeros());
2147   EXPECT_EQ(0u, i127hi1lo1.countTrailingOnes());
2148   EXPECT_EQ(125u, i127hi1lo1.countPopulation());
2149 }
2150 
2151 TEST(APIntTest, getBitsSetWithWrap) {
2152   APInt i64hi1lo1 = APInt::getBitsSetWithWrap(64, 1, 63);
2153   EXPECT_EQ(0u, i64hi1lo1.countLeadingOnes());
2154   EXPECT_EQ(1u, i64hi1lo1.countLeadingZeros());
2155   EXPECT_EQ(63u, i64hi1lo1.getActiveBits());
2156   EXPECT_EQ(1u, i64hi1lo1.countTrailingZeros());
2157   EXPECT_EQ(0u, i64hi1lo1.countTrailingOnes());
2158   EXPECT_EQ(62u, i64hi1lo1.countPopulation());
2159 
2160   APInt i127hi1lo1 = APInt::getBitsSetWithWrap(127, 1, 126);
2161   EXPECT_EQ(0u, i127hi1lo1.countLeadingOnes());
2162   EXPECT_EQ(1u, i127hi1lo1.countLeadingZeros());
2163   EXPECT_EQ(126u, i127hi1lo1.getActiveBits());
2164   EXPECT_EQ(1u, i127hi1lo1.countTrailingZeros());
2165   EXPECT_EQ(0u, i127hi1lo1.countTrailingOnes());
2166   EXPECT_EQ(125u, i127hi1lo1.countPopulation());
2167 
2168   APInt i64hi1lo1wrap = APInt::getBitsSetWithWrap(64, 63, 1);
2169   EXPECT_EQ(1u, i64hi1lo1wrap.countLeadingOnes());
2170   EXPECT_EQ(0u, i64hi1lo1wrap.countLeadingZeros());
2171   EXPECT_EQ(64u, i64hi1lo1wrap.getActiveBits());
2172   EXPECT_EQ(0u, i64hi1lo1wrap.countTrailingZeros());
2173   EXPECT_EQ(1u, i64hi1lo1wrap.countTrailingOnes());
2174   EXPECT_EQ(2u, i64hi1lo1wrap.countPopulation());
2175 
2176   APInt i127hi1lo1wrap = APInt::getBitsSetWithWrap(127, 126, 1);
2177   EXPECT_EQ(1u, i127hi1lo1wrap.countLeadingOnes());
2178   EXPECT_EQ(0u, i127hi1lo1wrap.countLeadingZeros());
2179   EXPECT_EQ(127u, i127hi1lo1wrap.getActiveBits());
2180   EXPECT_EQ(0u, i127hi1lo1wrap.countTrailingZeros());
2181   EXPECT_EQ(1u, i127hi1lo1wrap.countTrailingOnes());
2182   EXPECT_EQ(2u, i127hi1lo1wrap.countPopulation());
2183 
2184   APInt i32hiequallowrap = APInt::getBitsSetWithWrap(32, 10, 10);
2185   EXPECT_EQ(32u, i32hiequallowrap.countLeadingOnes());
2186   EXPECT_EQ(0u, i32hiequallowrap.countLeadingZeros());
2187   EXPECT_EQ(32u, i32hiequallowrap.getActiveBits());
2188   EXPECT_EQ(0u, i32hiequallowrap.countTrailingZeros());
2189   EXPECT_EQ(32u, i32hiequallowrap.countTrailingOnes());
2190   EXPECT_EQ(32u, i32hiequallowrap.countPopulation());
2191 }
2192 
2193 TEST(APIntTest, getHighBitsSet) {
2194   APInt i64hi32 = APInt::getHighBitsSet(64, 32);
2195   EXPECT_EQ(32u, i64hi32.countLeadingOnes());
2196   EXPECT_EQ(0u, i64hi32.countLeadingZeros());
2197   EXPECT_EQ(64u, i64hi32.getActiveBits());
2198   EXPECT_EQ(32u, i64hi32.countTrailingZeros());
2199   EXPECT_EQ(0u, i64hi32.countTrailingOnes());
2200   EXPECT_EQ(32u, i64hi32.countPopulation());
2201 }
2202 
2203 TEST(APIntTest, getBitsSetFrom) {
2204   APInt i64hi31 = APInt::getBitsSetFrom(64, 33);
2205   EXPECT_EQ(31u, i64hi31.countLeadingOnes());
2206   EXPECT_EQ(0u, i64hi31.countLeadingZeros());
2207   EXPECT_EQ(64u, i64hi31.getActiveBits());
2208   EXPECT_EQ(33u, i64hi31.countTrailingZeros());
2209   EXPECT_EQ(0u, i64hi31.countTrailingOnes());
2210   EXPECT_EQ(31u, i64hi31.countPopulation());
2211 }
2212 
2213 TEST(APIntTest, setLowBits) {
2214   APInt i64lo32(64, 0);
2215   i64lo32.setLowBits(32);
2216   EXPECT_EQ(0u, i64lo32.countLeadingOnes());
2217   EXPECT_EQ(32u, i64lo32.countLeadingZeros());
2218   EXPECT_EQ(32u, i64lo32.getActiveBits());
2219   EXPECT_EQ(0u, i64lo32.countTrailingZeros());
2220   EXPECT_EQ(32u, i64lo32.countTrailingOnes());
2221   EXPECT_EQ(32u, i64lo32.countPopulation());
2222 
2223   APInt i128lo64(128, 0);
2224   i128lo64.setLowBits(64);
2225   EXPECT_EQ(0u, i128lo64.countLeadingOnes());
2226   EXPECT_EQ(64u, i128lo64.countLeadingZeros());
2227   EXPECT_EQ(64u, i128lo64.getActiveBits());
2228   EXPECT_EQ(0u, i128lo64.countTrailingZeros());
2229   EXPECT_EQ(64u, i128lo64.countTrailingOnes());
2230   EXPECT_EQ(64u, i128lo64.countPopulation());
2231 
2232   APInt i128lo24(128, 0);
2233   i128lo24.setLowBits(24);
2234   EXPECT_EQ(0u, i128lo24.countLeadingOnes());
2235   EXPECT_EQ(104u, i128lo24.countLeadingZeros());
2236   EXPECT_EQ(24u, i128lo24.getActiveBits());
2237   EXPECT_EQ(0u, i128lo24.countTrailingZeros());
2238   EXPECT_EQ(24u, i128lo24.countTrailingOnes());
2239   EXPECT_EQ(24u, i128lo24.countPopulation());
2240 
2241   APInt i128lo104(128, 0);
2242   i128lo104.setLowBits(104);
2243   EXPECT_EQ(0u, i128lo104.countLeadingOnes());
2244   EXPECT_EQ(24u, i128lo104.countLeadingZeros());
2245   EXPECT_EQ(104u, i128lo104.getActiveBits());
2246   EXPECT_EQ(0u, i128lo104.countTrailingZeros());
2247   EXPECT_EQ(104u, i128lo104.countTrailingOnes());
2248   EXPECT_EQ(104u, i128lo104.countPopulation());
2249 
2250   APInt i128lo0(128, 0);
2251   i128lo0.setLowBits(0);
2252   EXPECT_EQ(0u, i128lo0.countLeadingOnes());
2253   EXPECT_EQ(128u, i128lo0.countLeadingZeros());
2254   EXPECT_EQ(0u, i128lo0.getActiveBits());
2255   EXPECT_EQ(128u, i128lo0.countTrailingZeros());
2256   EXPECT_EQ(0u, i128lo0.countTrailingOnes());
2257   EXPECT_EQ(0u, i128lo0.countPopulation());
2258 
2259   APInt i80lo79(80, 0);
2260   i80lo79.setLowBits(79);
2261   EXPECT_EQ(0u, i80lo79.countLeadingOnes());
2262   EXPECT_EQ(1u, i80lo79.countLeadingZeros());
2263   EXPECT_EQ(79u, i80lo79.getActiveBits());
2264   EXPECT_EQ(0u, i80lo79.countTrailingZeros());
2265   EXPECT_EQ(79u, i80lo79.countTrailingOnes());
2266   EXPECT_EQ(79u, i80lo79.countPopulation());
2267 }
2268 
2269 TEST(APIntTest, setHighBits) {
2270   APInt i64hi32(64, 0);
2271   i64hi32.setHighBits(32);
2272   EXPECT_EQ(32u, i64hi32.countLeadingOnes());
2273   EXPECT_EQ(0u, i64hi32.countLeadingZeros());
2274   EXPECT_EQ(64u, i64hi32.getActiveBits());
2275   EXPECT_EQ(32u, i64hi32.countTrailingZeros());
2276   EXPECT_EQ(0u, i64hi32.countTrailingOnes());
2277   EXPECT_EQ(32u, i64hi32.countPopulation());
2278 
2279   APInt i128hi64(128, 0);
2280   i128hi64.setHighBits(64);
2281   EXPECT_EQ(64u, i128hi64.countLeadingOnes());
2282   EXPECT_EQ(0u, i128hi64.countLeadingZeros());
2283   EXPECT_EQ(128u, i128hi64.getActiveBits());
2284   EXPECT_EQ(64u, i128hi64.countTrailingZeros());
2285   EXPECT_EQ(0u, i128hi64.countTrailingOnes());
2286   EXPECT_EQ(64u, i128hi64.countPopulation());
2287 
2288   APInt i128hi24(128, 0);
2289   i128hi24.setHighBits(24);
2290   EXPECT_EQ(24u, i128hi24.countLeadingOnes());
2291   EXPECT_EQ(0u, i128hi24.countLeadingZeros());
2292   EXPECT_EQ(128u, i128hi24.getActiveBits());
2293   EXPECT_EQ(104u, i128hi24.countTrailingZeros());
2294   EXPECT_EQ(0u, i128hi24.countTrailingOnes());
2295   EXPECT_EQ(24u, i128hi24.countPopulation());
2296 
2297   APInt i128hi104(128, 0);
2298   i128hi104.setHighBits(104);
2299   EXPECT_EQ(104u, i128hi104.countLeadingOnes());
2300   EXPECT_EQ(0u, i128hi104.countLeadingZeros());
2301   EXPECT_EQ(128u, i128hi104.getActiveBits());
2302   EXPECT_EQ(24u, i128hi104.countTrailingZeros());
2303   EXPECT_EQ(0u, i128hi104.countTrailingOnes());
2304   EXPECT_EQ(104u, i128hi104.countPopulation());
2305 
2306   APInt i128hi0(128, 0);
2307   i128hi0.setHighBits(0);
2308   EXPECT_EQ(0u, i128hi0.countLeadingOnes());
2309   EXPECT_EQ(128u, i128hi0.countLeadingZeros());
2310   EXPECT_EQ(0u, i128hi0.getActiveBits());
2311   EXPECT_EQ(128u, i128hi0.countTrailingZeros());
2312   EXPECT_EQ(0u, i128hi0.countTrailingOnes());
2313   EXPECT_EQ(0u, i128hi0.countPopulation());
2314 
2315   APInt i80hi1(80, 0);
2316   i80hi1.setHighBits(1);
2317   EXPECT_EQ(1u, i80hi1.countLeadingOnes());
2318   EXPECT_EQ(0u, i80hi1.countLeadingZeros());
2319   EXPECT_EQ(80u, i80hi1.getActiveBits());
2320   EXPECT_EQ(79u, i80hi1.countTrailingZeros());
2321   EXPECT_EQ(0u, i80hi1.countTrailingOnes());
2322   EXPECT_EQ(1u, i80hi1.countPopulation());
2323 
2324   APInt i32hi16(32, 0);
2325   i32hi16.setHighBits(16);
2326   EXPECT_EQ(16u, i32hi16.countLeadingOnes());
2327   EXPECT_EQ(0u, i32hi16.countLeadingZeros());
2328   EXPECT_EQ(32u, i32hi16.getActiveBits());
2329   EXPECT_EQ(16u, i32hi16.countTrailingZeros());
2330   EXPECT_EQ(0u, i32hi16.countTrailingOnes());
2331   EXPECT_EQ(16u, i32hi16.countPopulation());
2332 }
2333 
2334 TEST(APIntTest, setBitsFrom) {
2335   APInt i64from63(64, 0);
2336   i64from63.setBitsFrom(63);
2337   EXPECT_EQ(1u, i64from63.countLeadingOnes());
2338   EXPECT_EQ(0u, i64from63.countLeadingZeros());
2339   EXPECT_EQ(64u, i64from63.getActiveBits());
2340   EXPECT_EQ(63u, i64from63.countTrailingZeros());
2341   EXPECT_EQ(0u, i64from63.countTrailingOnes());
2342   EXPECT_EQ(1u, i64from63.countPopulation());
2343 }
2344 
2345 TEST(APIntTest, setAllBits) {
2346   APInt i32(32, 0);
2347   i32.setAllBits();
2348   EXPECT_EQ(32u, i32.countLeadingOnes());
2349   EXPECT_EQ(0u, i32.countLeadingZeros());
2350   EXPECT_EQ(32u, i32.getActiveBits());
2351   EXPECT_EQ(0u, i32.countTrailingZeros());
2352   EXPECT_EQ(32u, i32.countTrailingOnes());
2353   EXPECT_EQ(32u, i32.countPopulation());
2354 
2355   APInt i64(64, 0);
2356   i64.setAllBits();
2357   EXPECT_EQ(64u, i64.countLeadingOnes());
2358   EXPECT_EQ(0u, i64.countLeadingZeros());
2359   EXPECT_EQ(64u, i64.getActiveBits());
2360   EXPECT_EQ(0u, i64.countTrailingZeros());
2361   EXPECT_EQ(64u, i64.countTrailingOnes());
2362   EXPECT_EQ(64u, i64.countPopulation());
2363 
2364   APInt i96(96, 0);
2365   i96.setAllBits();
2366   EXPECT_EQ(96u, i96.countLeadingOnes());
2367   EXPECT_EQ(0u, i96.countLeadingZeros());
2368   EXPECT_EQ(96u, i96.getActiveBits());
2369   EXPECT_EQ(0u, i96.countTrailingZeros());
2370   EXPECT_EQ(96u, i96.countTrailingOnes());
2371   EXPECT_EQ(96u, i96.countPopulation());
2372 
2373   APInt i128(128, 0);
2374   i128.setAllBits();
2375   EXPECT_EQ(128u, i128.countLeadingOnes());
2376   EXPECT_EQ(0u, i128.countLeadingZeros());
2377   EXPECT_EQ(128u, i128.getActiveBits());
2378   EXPECT_EQ(0u, i128.countTrailingZeros());
2379   EXPECT_EQ(128u, i128.countTrailingOnes());
2380   EXPECT_EQ(128u, i128.countPopulation());
2381 }
2382 
2383 TEST(APIntTest, getLoBits) {
2384   APInt i32(32, 0xfa);
2385   i32.setHighBits(1);
2386   EXPECT_EQ(0xa, i32.getLoBits(4));
2387   APInt i128(128, 0xfa);
2388   i128.setHighBits(1);
2389   EXPECT_EQ(0xa, i128.getLoBits(4));
2390 }
2391 
2392 TEST(APIntTest, getHiBits) {
2393   APInt i32(32, 0xfa);
2394   i32.setHighBits(2);
2395   EXPECT_EQ(0xc, i32.getHiBits(4));
2396   APInt i128(128, 0xfa);
2397   i128.setHighBits(2);
2398   EXPECT_EQ(0xc, i128.getHiBits(4));
2399 }
2400 
2401 TEST(APIntTest, clearLowBits) {
2402   APInt i64hi32 = APInt::getAllOnes(64);
2403   i64hi32.clearLowBits(32);
2404   EXPECT_EQ(32u, i64hi32.countLeadingOnes());
2405   EXPECT_EQ(0u, i64hi32.countLeadingZeros());
2406   EXPECT_EQ(64u, i64hi32.getActiveBits());
2407   EXPECT_EQ(32u, i64hi32.countTrailingZeros());
2408   EXPECT_EQ(0u, i64hi32.countTrailingOnes());
2409   EXPECT_EQ(32u, i64hi32.countPopulation());
2410 
2411   APInt i128hi64 = APInt::getAllOnes(128);
2412   i128hi64.clearLowBits(64);
2413   EXPECT_EQ(64u, i128hi64.countLeadingOnes());
2414   EXPECT_EQ(0u, i128hi64.countLeadingZeros());
2415   EXPECT_EQ(128u, i128hi64.getActiveBits());
2416   EXPECT_EQ(64u, i128hi64.countTrailingZeros());
2417   EXPECT_EQ(0u, i128hi64.countTrailingOnes());
2418   EXPECT_EQ(64u, i128hi64.countPopulation());
2419 
2420   APInt i128hi24 = APInt::getAllOnes(128);
2421   i128hi24.clearLowBits(104);
2422   EXPECT_EQ(24u, i128hi24.countLeadingOnes());
2423   EXPECT_EQ(0u, i128hi24.countLeadingZeros());
2424   EXPECT_EQ(128u, i128hi24.getActiveBits());
2425   EXPECT_EQ(104u, i128hi24.countTrailingZeros());
2426   EXPECT_EQ(0u, i128hi24.countTrailingOnes());
2427   EXPECT_EQ(24u, i128hi24.countPopulation());
2428 
2429   APInt i128hi104 = APInt::getAllOnes(128);
2430   i128hi104.clearLowBits(24);
2431   EXPECT_EQ(104u, i128hi104.countLeadingOnes());
2432   EXPECT_EQ(0u, i128hi104.countLeadingZeros());
2433   EXPECT_EQ(128u, i128hi104.getActiveBits());
2434   EXPECT_EQ(24u, i128hi104.countTrailingZeros());
2435   EXPECT_EQ(0u, i128hi104.countTrailingOnes());
2436   EXPECT_EQ(104u, i128hi104.countPopulation());
2437 
2438   APInt i128hi0 = APInt::getAllOnes(128);
2439   i128hi0.clearLowBits(128);
2440   EXPECT_EQ(0u, i128hi0.countLeadingOnes());
2441   EXPECT_EQ(128u, i128hi0.countLeadingZeros());
2442   EXPECT_EQ(0u, i128hi0.getActiveBits());
2443   EXPECT_EQ(128u, i128hi0.countTrailingZeros());
2444   EXPECT_EQ(0u, i128hi0.countTrailingOnes());
2445   EXPECT_EQ(0u, i128hi0.countPopulation());
2446 
2447   APInt i80hi1 = APInt::getAllOnes(80);
2448   i80hi1.clearLowBits(79);
2449   EXPECT_EQ(1u, i80hi1.countLeadingOnes());
2450   EXPECT_EQ(0u, i80hi1.countLeadingZeros());
2451   EXPECT_EQ(80u, i80hi1.getActiveBits());
2452   EXPECT_EQ(79u, i80hi1.countTrailingZeros());
2453   EXPECT_EQ(0u, i80hi1.countTrailingOnes());
2454   EXPECT_EQ(1u, i80hi1.countPopulation());
2455 
2456   APInt i32hi16 = APInt::getAllOnes(32);
2457   i32hi16.clearLowBits(16);
2458   EXPECT_EQ(16u, i32hi16.countLeadingOnes());
2459   EXPECT_EQ(0u, i32hi16.countLeadingZeros());
2460   EXPECT_EQ(32u, i32hi16.getActiveBits());
2461   EXPECT_EQ(16u, i32hi16.countTrailingZeros());
2462   EXPECT_EQ(0u, i32hi16.countTrailingOnes());
2463   EXPECT_EQ(16u, i32hi16.countPopulation());
2464 }
2465 
2466 TEST(APIntTest, GCD) {
2467   using APIntOps::GreatestCommonDivisor;
2468 
2469   for (unsigned Bits : {1, 2, 32, 63, 64, 65}) {
2470     // Test some corner cases near zero.
2471     APInt Zero(Bits, 0), One(Bits, 1);
2472     EXPECT_EQ(GreatestCommonDivisor(Zero, Zero), Zero);
2473     EXPECT_EQ(GreatestCommonDivisor(Zero, One), One);
2474     EXPECT_EQ(GreatestCommonDivisor(One, Zero), One);
2475     EXPECT_EQ(GreatestCommonDivisor(One, One), One);
2476 
2477     if (Bits > 1) {
2478       APInt Two(Bits, 2);
2479       EXPECT_EQ(GreatestCommonDivisor(Zero, Two), Two);
2480       EXPECT_EQ(GreatestCommonDivisor(One, Two), One);
2481       EXPECT_EQ(GreatestCommonDivisor(Two, Two), Two);
2482 
2483       // Test some corner cases near the highest representable value.
2484       APInt Max(Bits, 0);
2485       Max.setAllBits();
2486       EXPECT_EQ(GreatestCommonDivisor(Zero, Max), Max);
2487       EXPECT_EQ(GreatestCommonDivisor(One, Max), One);
2488       EXPECT_EQ(GreatestCommonDivisor(Two, Max), One);
2489       EXPECT_EQ(GreatestCommonDivisor(Max, Max), Max);
2490 
2491       APInt MaxOver2 = Max.udiv(Two);
2492       EXPECT_EQ(GreatestCommonDivisor(MaxOver2, Max), One);
2493       // Max - 1 == Max / 2 * 2, because Max is odd.
2494       EXPECT_EQ(GreatestCommonDivisor(MaxOver2, Max - 1), MaxOver2);
2495     }
2496   }
2497 
2498   // Compute the 20th Mersenne prime.
2499   const unsigned BitWidth = 4450;
2500   APInt HugePrime = APInt::getLowBitsSet(BitWidth, 4423);
2501 
2502   // 9931 and 123456 are coprime.
2503   APInt A = HugePrime * APInt(BitWidth, 9931);
2504   APInt B = HugePrime * APInt(BitWidth, 123456);
2505   APInt C = GreatestCommonDivisor(A, B);
2506   EXPECT_EQ(C, HugePrime);
2507 }
2508 
2509 TEST(APIntTest, LogicalRightShift) {
2510   APInt i256(APInt::getHighBitsSet(256, 2));
2511 
2512   i256.lshrInPlace(1);
2513   EXPECT_EQ(1U, i256.countLeadingZeros());
2514   EXPECT_EQ(253U, i256.countTrailingZeros());
2515   EXPECT_EQ(2U, i256.countPopulation());
2516 
2517   i256.lshrInPlace(62);
2518   EXPECT_EQ(63U, i256.countLeadingZeros());
2519   EXPECT_EQ(191U, i256.countTrailingZeros());
2520   EXPECT_EQ(2U, i256.countPopulation());
2521 
2522   i256.lshrInPlace(65);
2523   EXPECT_EQ(128U, i256.countLeadingZeros());
2524   EXPECT_EQ(126U, i256.countTrailingZeros());
2525   EXPECT_EQ(2U, i256.countPopulation());
2526 
2527   i256.lshrInPlace(64);
2528   EXPECT_EQ(192U, i256.countLeadingZeros());
2529   EXPECT_EQ(62U, i256.countTrailingZeros());
2530   EXPECT_EQ(2U, i256.countPopulation());
2531 
2532   i256.lshrInPlace(63);
2533   EXPECT_EQ(255U, i256.countLeadingZeros());
2534   EXPECT_EQ(0U, i256.countTrailingZeros());
2535   EXPECT_EQ(1U, i256.countPopulation());
2536 
2537   // Ensure we handle large shifts of multi-word.
2538   const APInt neg_one(128, static_cast<uint64_t>(-1), true);
2539   EXPECT_EQ(0, neg_one.lshr(128));
2540 }
2541 
2542 TEST(APIntTest, ArithmeticRightShift) {
2543   APInt i72(APInt::getHighBitsSet(72, 1));
2544   i72.ashrInPlace(46);
2545   EXPECT_EQ(47U, i72.countLeadingOnes());
2546   EXPECT_EQ(25U, i72.countTrailingZeros());
2547   EXPECT_EQ(47U, i72.countPopulation());
2548 
2549   i72 = APInt::getHighBitsSet(72, 1);
2550   i72.ashrInPlace(64);
2551   EXPECT_EQ(65U, i72.countLeadingOnes());
2552   EXPECT_EQ(7U, i72.countTrailingZeros());
2553   EXPECT_EQ(65U, i72.countPopulation());
2554 
2555   APInt i128(APInt::getHighBitsSet(128, 1));
2556   i128.ashrInPlace(64);
2557   EXPECT_EQ(65U, i128.countLeadingOnes());
2558   EXPECT_EQ(63U, i128.countTrailingZeros());
2559   EXPECT_EQ(65U, i128.countPopulation());
2560 
2561   // Ensure we handle large shifts of multi-word.
2562   const APInt signmin32(APInt::getSignedMinValue(32));
2563   EXPECT_TRUE(signmin32.ashr(32).isAllOnes());
2564 
2565   // Ensure we handle large shifts of multi-word.
2566   const APInt umax32(APInt::getSignedMaxValue(32));
2567   EXPECT_EQ(0, umax32.ashr(32));
2568 
2569   // Ensure we handle large shifts of multi-word.
2570   const APInt signmin128(APInt::getSignedMinValue(128));
2571   EXPECT_TRUE(signmin128.ashr(128).isAllOnes());
2572 
2573   // Ensure we handle large shifts of multi-word.
2574   const APInt umax128(APInt::getSignedMaxValue(128));
2575   EXPECT_EQ(0, umax128.ashr(128));
2576 }
2577 
2578 TEST(APIntTest, LeftShift) {
2579   APInt i256(APInt::getLowBitsSet(256, 2));
2580 
2581   i256 <<= 1;
2582   EXPECT_EQ(253U, i256.countLeadingZeros());
2583   EXPECT_EQ(1U, i256.countTrailingZeros());
2584   EXPECT_EQ(2U, i256.countPopulation());
2585 
2586   i256 <<= 62;
2587   EXPECT_EQ(191U, i256.countLeadingZeros());
2588   EXPECT_EQ(63U, i256.countTrailingZeros());
2589   EXPECT_EQ(2U, i256.countPopulation());
2590 
2591   i256 <<= 65;
2592   EXPECT_EQ(126U, i256.countLeadingZeros());
2593   EXPECT_EQ(128U, i256.countTrailingZeros());
2594   EXPECT_EQ(2U, i256.countPopulation());
2595 
2596   i256 <<= 64;
2597   EXPECT_EQ(62U, i256.countLeadingZeros());
2598   EXPECT_EQ(192U, i256.countTrailingZeros());
2599   EXPECT_EQ(2U, i256.countPopulation());
2600 
2601   i256 <<= 63;
2602   EXPECT_EQ(0U, i256.countLeadingZeros());
2603   EXPECT_EQ(255U, i256.countTrailingZeros());
2604   EXPECT_EQ(1U, i256.countPopulation());
2605 
2606   // Ensure we handle large shifts of multi-word.
2607   const APInt neg_one(128, static_cast<uint64_t>(-1), true);
2608   EXPECT_EQ(0, neg_one.shl(128));
2609 }
2610 
2611 TEST(APIntTest, isSubsetOf) {
2612   APInt i32_1(32, 1);
2613   APInt i32_2(32, 2);
2614   APInt i32_3(32, 3);
2615   EXPECT_FALSE(i32_3.isSubsetOf(i32_1));
2616   EXPECT_TRUE(i32_1.isSubsetOf(i32_3));
2617   EXPECT_FALSE(i32_2.isSubsetOf(i32_1));
2618   EXPECT_FALSE(i32_1.isSubsetOf(i32_2));
2619   EXPECT_TRUE(i32_3.isSubsetOf(i32_3));
2620 
2621   APInt i128_1(128, 1);
2622   APInt i128_2(128, 2);
2623   APInt i128_3(128, 3);
2624   EXPECT_FALSE(i128_3.isSubsetOf(i128_1));
2625   EXPECT_TRUE(i128_1.isSubsetOf(i128_3));
2626   EXPECT_FALSE(i128_2.isSubsetOf(i128_1));
2627   EXPECT_FALSE(i128_1.isSubsetOf(i128_2));
2628   EXPECT_TRUE(i128_3.isSubsetOf(i128_3));
2629 
2630   i128_1 <<= 64;
2631   i128_2 <<= 64;
2632   i128_3 <<= 64;
2633   EXPECT_FALSE(i128_3.isSubsetOf(i128_1));
2634   EXPECT_TRUE(i128_1.isSubsetOf(i128_3));
2635   EXPECT_FALSE(i128_2.isSubsetOf(i128_1));
2636   EXPECT_FALSE(i128_1.isSubsetOf(i128_2));
2637   EXPECT_TRUE(i128_3.isSubsetOf(i128_3));
2638 }
2639 
2640 TEST(APIntTest, sext) {
2641   EXPECT_EQ(0, APInt(1, 0).sext(64));
2642   EXPECT_EQ(~uint64_t(0), APInt(1, 1).sext(64));
2643 
2644   APInt i32_max(APInt::getSignedMaxValue(32).sext(63));
2645   EXPECT_EQ(i32_max, i32_max.sext(63));
2646   EXPECT_EQ(32U, i32_max.countLeadingZeros());
2647   EXPECT_EQ(0U, i32_max.countTrailingZeros());
2648   EXPECT_EQ(31U, i32_max.countPopulation());
2649 
2650   APInt i32_min(APInt::getSignedMinValue(32).sext(63));
2651   EXPECT_EQ(i32_min, i32_min.sext(63));
2652   EXPECT_EQ(32U, i32_min.countLeadingOnes());
2653   EXPECT_EQ(31U, i32_min.countTrailingZeros());
2654   EXPECT_EQ(32U, i32_min.countPopulation());
2655 
2656   APInt i32_neg1(APInt(32, ~uint64_t(0)).sext(63));
2657   EXPECT_EQ(i32_neg1, i32_neg1.sext(63));
2658   EXPECT_EQ(63U, i32_neg1.countLeadingOnes());
2659   EXPECT_EQ(0U, i32_neg1.countTrailingZeros());
2660   EXPECT_EQ(63U, i32_neg1.countPopulation());
2661 }
2662 
2663 TEST(APIntTest, trunc) {
2664   APInt val(32, 0xFFFFFFFF);
2665   EXPECT_EQ(0xFFFF, val.trunc(16));
2666   EXPECT_EQ(0xFFFFFFFF, val.trunc(32));
2667 }
2668 
2669 TEST(APIntTest, concat) {
2670   APInt Int1(4, 0x1ULL);
2671   APInt Int3(4, 0x3ULL);
2672 
2673   EXPECT_EQ(0x31, Int3.concat(Int1));
2674   EXPECT_EQ(APInt(12, 0x313), Int3.concat(Int1).concat(Int3));
2675   EXPECT_EQ(APInt(16, 0x3313), Int3.concat(Int3).concat(Int1).concat(Int3));
2676 
2677   APInt I64(64, 0x3ULL);
2678   EXPECT_EQ(I64, I64.concat(I64).lshr(64).trunc(64));
2679 
2680   APInt I65(65, 0x3ULL);
2681   APInt I0 = APInt::getZeroWidth();
2682   EXPECT_EQ(I65, I65.concat(I0));
2683   EXPECT_EQ(I65, I0.concat(I65));
2684 }
2685 
2686 TEST(APIntTest, multiply) {
2687   APInt i64(64, 1234);
2688 
2689   EXPECT_EQ(7006652, i64 * 5678);
2690   EXPECT_EQ(7006652, 5678 * i64);
2691 
2692   APInt i128 = APInt::getOneBitSet(128, 64);
2693   APInt i128_1234(128, 1234);
2694   i128_1234 <<= 64;
2695   EXPECT_EQ(i128_1234, i128 * 1234);
2696   EXPECT_EQ(i128_1234, 1234 * i128);
2697 
2698   APInt i96 = APInt::getOneBitSet(96, 64);
2699   i96 *= ~0ULL;
2700   EXPECT_EQ(32U, i96.countLeadingOnes());
2701   EXPECT_EQ(32U, i96.countPopulation());
2702   EXPECT_EQ(64U, i96.countTrailingZeros());
2703 }
2704 
2705 TEST(APIntTest, RoundingUDiv) {
2706   for (uint64_t Ai = 1; Ai <= 255; Ai++) {
2707     APInt A(8, Ai);
2708     APInt Zero(8, 0);
2709     EXPECT_EQ(0, APIntOps::RoundingUDiv(Zero, A, APInt::Rounding::UP));
2710     EXPECT_EQ(0, APIntOps::RoundingUDiv(Zero, A, APInt::Rounding::DOWN));
2711     EXPECT_EQ(0, APIntOps::RoundingUDiv(Zero, A, APInt::Rounding::TOWARD_ZERO));
2712 
2713     for (uint64_t Bi = 1; Bi <= 255; Bi++) {
2714       APInt B(8, Bi);
2715       {
2716         APInt Quo = APIntOps::RoundingUDiv(A, B, APInt::Rounding::UP);
2717         auto Prod = Quo.zext(16) * B.zext(16);
2718         EXPECT_TRUE(Prod.uge(Ai));
2719         if (Prod.ugt(Ai)) {
2720           EXPECT_TRUE(((Quo - 1).zext(16) * B.zext(16)).ult(Ai));
2721         }
2722       }
2723       {
2724         APInt Quo = A.udiv(B);
2725         EXPECT_EQ(Quo, APIntOps::RoundingUDiv(A, B, APInt::Rounding::TOWARD_ZERO));
2726         EXPECT_EQ(Quo, APIntOps::RoundingUDiv(A, B, APInt::Rounding::DOWN));
2727       }
2728     }
2729   }
2730 }
2731 
2732 TEST(APIntTest, RoundingSDiv) {
2733   for (int64_t Ai = -128; Ai <= 127; Ai++) {
2734     APInt A(8, Ai);
2735 
2736     if (Ai != 0) {
2737       APInt Zero(8, 0);
2738       EXPECT_EQ(0, APIntOps::RoundingSDiv(Zero, A, APInt::Rounding::UP));
2739       EXPECT_EQ(0, APIntOps::RoundingSDiv(Zero, A, APInt::Rounding::DOWN));
2740       EXPECT_EQ(0, APIntOps::RoundingSDiv(Zero, A, APInt::Rounding::TOWARD_ZERO));
2741     }
2742 
2743     for (int64_t Bi = -128; Bi <= 127; Bi++) {
2744       if (Bi == 0)
2745         continue;
2746 
2747       APInt B(8, Bi);
2748       APInt QuoTowardZero = A.sdiv(B);
2749       {
2750         APInt Quo = APIntOps::RoundingSDiv(A, B, APInt::Rounding::UP);
2751         if (A.srem(B).isNullValue()) {
2752           EXPECT_EQ(QuoTowardZero, Quo);
2753         } else if (A.isNegative() !=
2754                    B.isNegative()) { // if the math quotient is negative.
2755           EXPECT_EQ(QuoTowardZero, Quo);
2756         } else {
2757           EXPECT_EQ(QuoTowardZero + 1, Quo);
2758         }
2759       }
2760       {
2761         APInt Quo = APIntOps::RoundingSDiv(A, B, APInt::Rounding::DOWN);
2762         if (A.srem(B).isNullValue()) {
2763           EXPECT_EQ(QuoTowardZero, Quo);
2764         } else if (A.isNegative() !=
2765                    B.isNegative()) { // if the math quotient is negative.
2766           EXPECT_EQ(QuoTowardZero - 1, Quo);
2767         } else {
2768           EXPECT_EQ(QuoTowardZero, Quo);
2769         }
2770       }
2771       EXPECT_EQ(QuoTowardZero,
2772                 APIntOps::RoundingSDiv(A, B, APInt::Rounding::TOWARD_ZERO));
2773     }
2774   }
2775 }
2776 
2777 TEST(APIntTest, umul_ov) {
2778   const std::pair<uint64_t, uint64_t> Overflows[] = {
2779       {0x8000000000000000, 2},
2780       {0x5555555555555556, 3},
2781       {4294967296, 4294967296},
2782       {4294967295, 4294967298},
2783   };
2784   const std::pair<uint64_t, uint64_t> NonOverflows[] = {
2785       {0x7fffffffffffffff, 2},
2786       {0x5555555555555555, 3},
2787       {4294967295, 4294967297},
2788   };
2789 
2790   bool Overflow;
2791   for (auto &X : Overflows) {
2792     APInt A(64, X.first);
2793     APInt B(64, X.second);
2794     (void)A.umul_ov(B, Overflow);
2795     EXPECT_TRUE(Overflow);
2796   }
2797   for (auto &X : NonOverflows) {
2798     APInt A(64, X.first);
2799     APInt B(64, X.second);
2800     (void)A.umul_ov(B, Overflow);
2801     EXPECT_FALSE(Overflow);
2802   }
2803 
2804   for (unsigned Bits = 1; Bits <= 5; ++Bits)
2805     for (unsigned A = 0; A != 1u << Bits; ++A)
2806       for (unsigned B = 0; B != 1u << Bits; ++B) {
2807         APInt N1 = APInt(Bits, A), N2 = APInt(Bits, B);
2808         APInt Narrow = N1.umul_ov(N2, Overflow);
2809         APInt Wide = N1.zext(2 * Bits) * N2.zext(2 * Bits);
2810         EXPECT_EQ(Wide.trunc(Bits), Narrow);
2811         EXPECT_EQ(Narrow.zext(2 * Bits) != Wide, Overflow);
2812       }
2813 }
2814 
2815 TEST(APIntTest, smul_ov) {
2816   for (unsigned Bits = 1; Bits <= 5; ++Bits)
2817     for (unsigned A = 0; A != 1u << Bits; ++A)
2818       for (unsigned B = 0; B != 1u << Bits; ++B) {
2819         bool Overflow;
2820         APInt N1 = APInt(Bits, A), N2 = APInt(Bits, B);
2821         APInt Narrow = N1.smul_ov(N2, Overflow);
2822         APInt Wide = N1.sext(2 * Bits) * N2.sext(2 * Bits);
2823         EXPECT_EQ(Wide.trunc(Bits), Narrow);
2824         EXPECT_EQ(Narrow.sext(2 * Bits) != Wide, Overflow);
2825       }
2826 }
2827 
2828 TEST(APIntTest, SolveQuadraticEquationWrap) {
2829   // Verify that "Solution" is the first non-negative integer that solves
2830   // Ax^2 + Bx + C = "0 or overflow", i.e. that it is a correct solution
2831   // as calculated by SolveQuadraticEquationWrap.
2832   auto Validate = [] (int A, int B, int C, unsigned Width, int Solution) {
2833     int Mask = (1 << Width) - 1;
2834 
2835     // Solution should be non-negative.
2836     EXPECT_GE(Solution, 0);
2837 
2838     auto OverflowBits = [] (int64_t V, unsigned W) {
2839       return V & -(1 << W);
2840     };
2841 
2842     int64_t Over0 = OverflowBits(C, Width);
2843 
2844     auto IsZeroOrOverflow = [&] (int X) {
2845       int64_t ValueAtX = A*X*X + B*X + C;
2846       int64_t OverX = OverflowBits(ValueAtX, Width);
2847       return (ValueAtX & Mask) == 0 || OverX != Over0;
2848     };
2849 
2850     auto EquationToString = [&] (const char *X_str) {
2851       return (Twine(A) + Twine(X_str) + Twine("^2 + ") + Twine(B) +
2852               Twine(X_str) + Twine(" + ") + Twine(C) + Twine(", bitwidth: ") +
2853               Twine(Width)).str();
2854     };
2855 
2856     auto IsSolution = [&] (const char *X_str, int X) {
2857       if (IsZeroOrOverflow(X))
2858         return ::testing::AssertionSuccess()
2859                   << X << " is a solution of " << EquationToString(X_str);
2860       return ::testing::AssertionFailure()
2861                 << X << " is not an expected solution of "
2862                 << EquationToString(X_str);
2863     };
2864 
2865     auto IsNotSolution = [&] (const char *X_str, int X) {
2866       if (!IsZeroOrOverflow(X))
2867         return ::testing::AssertionSuccess()
2868                   << X << " is not a solution of " << EquationToString(X_str);
2869       return ::testing::AssertionFailure()
2870                 << X << " is an unexpected solution of "
2871                 << EquationToString(X_str);
2872     };
2873 
2874     // This is the important part: make sure that there is no solution that
2875     // is less than the calculated one.
2876     if (Solution > 0) {
2877       for (int X = 1; X < Solution-1; ++X)
2878         EXPECT_PRED_FORMAT1(IsNotSolution, X);
2879     }
2880 
2881     // Verify that the calculated solution is indeed a solution.
2882     EXPECT_PRED_FORMAT1(IsSolution, Solution);
2883   };
2884 
2885   // Generate all possible quadratic equations with Width-bit wide integer
2886   // coefficients, get the solution from SolveQuadraticEquationWrap, and
2887   // verify that the solution is correct.
2888   auto Iterate = [&] (unsigned Width) {
2889     assert(1 < Width && Width < 32);
2890     int Low = -(1 << (Width-1));
2891     int High = (1 << (Width-1));
2892 
2893     for (int A = Low; A != High; ++A) {
2894       if (A == 0)
2895         continue;
2896       for (int B = Low; B != High; ++B) {
2897         for (int C = Low; C != High; ++C) {
2898           Optional<APInt> S = APIntOps::SolveQuadraticEquationWrap(
2899                                 APInt(Width, A), APInt(Width, B),
2900                                 APInt(Width, C), Width);
2901           if (S)
2902             Validate(A, B, C, Width, S->getSExtValue());
2903         }
2904       }
2905     }
2906   };
2907 
2908   // Test all widths in [2..6].
2909   for (unsigned i = 2; i <= 6; ++i)
2910     Iterate(i);
2911 }
2912 
2913 TEST(APIntTest, MultiplicativeInverseExaustive) {
2914   for (unsigned BitWidth = 1; BitWidth <= 16; ++BitWidth) {
2915     for (unsigned Value = 0; Value < (1u << BitWidth); ++Value) {
2916       APInt V = APInt(BitWidth, Value);
2917       APInt MulInv =
2918           V.zext(BitWidth + 1)
2919               .multiplicativeInverse(APInt::getSignedMinValue(BitWidth + 1))
2920               .trunc(BitWidth);
2921       APInt One = V * MulInv;
2922       if (!V.isNullValue() && V.countTrailingZeros() == 0) {
2923         // Multiplicative inverse exists for all odd numbers.
2924         EXPECT_TRUE(One.isOneValue());
2925       } else {
2926         // Multiplicative inverse does not exist for even numbers (and 0).
2927         EXPECT_TRUE(MulInv.isNullValue());
2928       }
2929     }
2930   }
2931 }
2932 
2933 TEST(APIntTest, GetMostSignificantDifferentBit) {
2934   EXPECT_EQ(APIntOps::GetMostSignificantDifferentBit(APInt(8, 0), APInt(8, 0)),
2935             std::nullopt);
2936   EXPECT_EQ(
2937       APIntOps::GetMostSignificantDifferentBit(APInt(8, 42), APInt(8, 42)),
2938       std::nullopt);
2939   EXPECT_EQ(*APIntOps::GetMostSignificantDifferentBit(APInt(8, 0), APInt(8, 1)),
2940             0u);
2941   EXPECT_EQ(*APIntOps::GetMostSignificantDifferentBit(APInt(8, 0), APInt(8, 2)),
2942             1u);
2943   EXPECT_EQ(*APIntOps::GetMostSignificantDifferentBit(APInt(8, 0), APInt(8, 3)),
2944             1u);
2945   EXPECT_EQ(*APIntOps::GetMostSignificantDifferentBit(APInt(8, 1), APInt(8, 0)),
2946             0u);
2947   EXPECT_EQ(APIntOps::GetMostSignificantDifferentBit(APInt(8, 1), APInt(8, 1)),
2948             std::nullopt);
2949   EXPECT_EQ(*APIntOps::GetMostSignificantDifferentBit(APInt(8, 1), APInt(8, 2)),
2950             1u);
2951   EXPECT_EQ(*APIntOps::GetMostSignificantDifferentBit(APInt(8, 1), APInt(8, 3)),
2952             1u);
2953   EXPECT_EQ(
2954       *APIntOps::GetMostSignificantDifferentBit(APInt(8, 42), APInt(8, 112)),
2955       6u);
2956 }
2957 
2958 TEST(APIntTest, GetMostSignificantDifferentBitExaustive) {
2959   auto GetHighestDifferentBitBruteforce =
2960       [](const APInt &V0, const APInt &V1) -> llvm::Optional<unsigned> {
2961     assert(V0.getBitWidth() == V1.getBitWidth() && "Must have same bitwidth");
2962     if (V0 == V1)
2963       return std::nullopt; // Bitwise identical.
2964     // There is a mismatch. Let's find the most significant different bit.
2965     for (int Bit = V0.getBitWidth() - 1; Bit >= 0; --Bit) {
2966       if (V0[Bit] == V1[Bit])
2967         continue;
2968       return Bit;
2969     }
2970     llvm_unreachable("Must have found bit mismatch.");
2971   };
2972 
2973   for (unsigned BitWidth = 1; BitWidth <= 8; ++BitWidth) {
2974     for (unsigned V0 = 0; V0 < (1u << BitWidth); ++V0) {
2975       for (unsigned V1 = 0; V1 < (1u << BitWidth); ++V1) {
2976         APInt A = APInt(BitWidth, V0);
2977         APInt B = APInt(BitWidth, V1);
2978 
2979         auto Bit = APIntOps::GetMostSignificantDifferentBit(A, B);
2980         EXPECT_EQ(Bit, GetHighestDifferentBitBruteforce(A, B));
2981 
2982         if (!Bit)
2983           EXPECT_EQ(A, B);
2984         else {
2985           EXPECT_NE(A, B);
2986           for (unsigned NumLowBits = 0; NumLowBits <= BitWidth; ++NumLowBits) {
2987             APInt Adash = A;
2988             Adash.clearLowBits(NumLowBits);
2989             APInt Bdash = B;
2990             Bdash.clearLowBits(NumLowBits);
2991             // Clearing only low bits up to and including *Bit is sufficient
2992             // to make values equal.
2993             if (NumLowBits >= 1 + *Bit)
2994               EXPECT_EQ(Adash, Bdash);
2995             else
2996               EXPECT_NE(Adash, Bdash);
2997           }
2998         }
2999       }
3000     }
3001   }
3002 }
3003 
3004 TEST(APIntTest, SignbitZeroChecks) {
3005   EXPECT_TRUE(APInt(8, -1).isNegative());
3006   EXPECT_FALSE(APInt(8, -1).isNonNegative());
3007   EXPECT_FALSE(APInt(8, -1).isStrictlyPositive());
3008   EXPECT_TRUE(APInt(8, -1).isNonPositive());
3009 
3010   EXPECT_FALSE(APInt(8, 0).isNegative());
3011   EXPECT_TRUE(APInt(8, 0).isNonNegative());
3012   EXPECT_FALSE(APInt(8, 0).isStrictlyPositive());
3013   EXPECT_TRUE(APInt(8, 0).isNonPositive());
3014 
3015   EXPECT_FALSE(APInt(8, 1).isNegative());
3016   EXPECT_TRUE(APInt(8, 1).isNonNegative());
3017   EXPECT_TRUE(APInt(8, 1).isStrictlyPositive());
3018   EXPECT_FALSE(APInt(8, 1).isNonPositive());
3019 }
3020 
3021 TEST(APIntTest, ZeroWidth) {
3022   // Zero width Constructors.
3023   auto ZW = APInt::getZeroWidth();
3024   EXPECT_EQ(0U, ZW.getBitWidth());
3025   EXPECT_EQ(0U, APInt(0, ArrayRef<uint64_t>({0, 1, 2})).getBitWidth());
3026   EXPECT_EQ(0U, APInt(0, "0", 10).getBitWidth());
3027 
3028   // Default constructor is single bit wide.
3029   EXPECT_EQ(1U, APInt().getBitWidth());
3030 
3031   // Copy ctor (move is down below).
3032   APInt ZW2(ZW);
3033   EXPECT_EQ(0U, ZW2.getBitWidth());
3034   // Assignment
3035   ZW = ZW2;
3036   EXPECT_EQ(0U, ZW.getBitWidth());
3037 
3038   // Methods like getLowBitsSet work with zero bits.
3039   EXPECT_EQ(0U, APInt::getLowBitsSet(0, 0).getBitWidth());
3040   EXPECT_EQ(0U, APInt::getSplat(0, ZW).getBitWidth());
3041   EXPECT_EQ(0U, APInt(4, 10).extractBits(0, 2).getBitWidth());
3042 
3043   // Logical operators.
3044   ZW |= ZW2;
3045   ZW &= ZW2;
3046   ZW ^= ZW2;
3047   ZW |= 42; // These ignore high bits of the literal.
3048   ZW &= 42;
3049   ZW ^= 42;
3050   EXPECT_EQ(1, ZW.isIntN(0));
3051 
3052   // Modulo Arithmetic.  Divide/Rem aren't defined on division by zero, so they
3053   // aren't supported.
3054   ZW += ZW2;
3055   ZW -= ZW2;
3056   ZW *= ZW2;
3057 
3058   // Logical Shifts and rotates, the amount must be <= bitwidth.
3059   ZW <<= 0;
3060   ZW.lshrInPlace(0);
3061   (void)ZW.rotl(0);
3062   (void)ZW.rotr(0);
3063 
3064   // Comparisons.
3065   EXPECT_EQ(1, ZW == ZW);
3066   EXPECT_EQ(0, ZW != ZW);
3067   EXPECT_EQ(0, ZW.ult(ZW));
3068 
3069   // Mutations.
3070   ZW.setBitsWithWrap(0, 0);
3071   ZW.setBits(0, 0);
3072   ZW.clearAllBits();
3073   ZW.flipAllBits();
3074 
3075   // Leading, trailing, ctpop, etc
3076   EXPECT_EQ(0U, ZW.countLeadingZeros());
3077   EXPECT_EQ(0U, ZW.countLeadingOnes());
3078   EXPECT_EQ(0U, ZW.countPopulation());
3079   EXPECT_EQ(0U, ZW.reverseBits().getBitWidth());
3080   EXPECT_EQ(0U, ZW.getHiBits(0).getBitWidth());
3081   EXPECT_EQ(0U, ZW.getLoBits(0).getBitWidth());
3082   EXPECT_EQ(0, ZW.zext(4));
3083   EXPECT_EQ(0U, APInt(4, 3).trunc(0).getBitWidth());
3084   EXPECT_TRUE(ZW.isAllOnes());
3085 
3086   // Zero extension.
3087   EXPECT_EQ(0U, ZW.getZExtValue());
3088 
3089   SmallString<42> STR;
3090   ZW.toStringUnsigned(STR);
3091   EXPECT_EQ("0", STR);
3092 
3093   // Move ctor (keep at the end of the method since moves are destructive).
3094   APInt MZW1(std::move(ZW));
3095   EXPECT_EQ(0U, MZW1.getBitWidth());
3096   // Move Assignment
3097   MZW1 = std::move(ZW2);
3098   EXPECT_EQ(0U, MZW1.getBitWidth());
3099 }
3100 
3101 TEST(APIntTest, ScaleBitMask) {
3102   EXPECT_EQ(APIntOps::ScaleBitMask(APInt(2, 0x00), 8), APInt(8, 0x00));
3103   EXPECT_EQ(APIntOps::ScaleBitMask(APInt(2, 0x01), 8), APInt(8, 0x0F));
3104   EXPECT_EQ(APIntOps::ScaleBitMask(APInt(2, 0x02), 8), APInt(8, 0xF0));
3105   EXPECT_EQ(APIntOps::ScaleBitMask(APInt(2, 0x03), 8), APInt(8, 0xFF));
3106 
3107   EXPECT_EQ(APIntOps::ScaleBitMask(APInt(8, 0x00), 4), APInt(4, 0x00));
3108   EXPECT_EQ(APIntOps::ScaleBitMask(APInt(8, 0xFF), 4), APInt(4, 0x0F));
3109   EXPECT_EQ(APIntOps::ScaleBitMask(APInt(8, 0xE4), 4), APInt(4, 0x0E));
3110 
3111   EXPECT_EQ(APIntOps::ScaleBitMask(APInt(8, 0x00), 8), APInt(8, 0x00));
3112 
3113   EXPECT_EQ(APIntOps::ScaleBitMask(APInt::getNullValue(1024), 4096),
3114             APInt::getNullValue(4096));
3115   EXPECT_EQ(APIntOps::ScaleBitMask(APInt::getAllOnes(4096), 256),
3116             APInt::getAllOnes(256));
3117   EXPECT_EQ(APIntOps::ScaleBitMask(APInt::getOneBitSet(4096, 32), 256),
3118             APInt::getOneBitSet(256, 2));
3119 
3120   EXPECT_EQ(APIntOps::ScaleBitMask(APInt(2, 0x00), 8, true), APInt(8, 0x00));
3121   EXPECT_EQ(APIntOps::ScaleBitMask(APInt(2, 0x01), 8, true), APInt(8, 0x0F));
3122   EXPECT_EQ(APIntOps::ScaleBitMask(APInt(2, 0x02), 8, true), APInt(8, 0xF0));
3123   EXPECT_EQ(APIntOps::ScaleBitMask(APInt(2, 0x03), 8, true), APInt(8, 0xFF));
3124 
3125   EXPECT_EQ(APIntOps::ScaleBitMask(APInt(8, 0x00), 4, true), APInt(4, 0x00));
3126   EXPECT_EQ(APIntOps::ScaleBitMask(APInt(8, 0xFF), 4, true), APInt(4, 0x0F));
3127   EXPECT_EQ(APIntOps::ScaleBitMask(APInt(8, 0xE4), 4, true), APInt(4, 0x08));
3128 }
3129 
3130 TEST(APIntTest, DenseMap) {
3131   DenseMap<APInt, int> Map;
3132   APInt ZeroWidthInt(0, 0, false);
3133   Map.insert({ZeroWidthInt, 0});
3134   Map.find(ZeroWidthInt);
3135 }
3136 
3137 } // end anonymous namespace
3138