xref: /llvm-project/llvm/unittests/ADT/APIntTest.cpp (revision 41bdcaa7c687140c28ad46102784bb6c40449981)
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 "llvm/Support/Alignment.h"
15 #include "gtest/gtest.h"
16 #include <array>
17 #include <climits>
18 #include <limits>
19 #include <optional>
20 
21 using namespace llvm;
22 
23 namespace {
24 
25 TEST(APIntTest, ValueInit) {
26   APInt Zero = APInt();
27   EXPECT_TRUE(!Zero);
28   EXPECT_TRUE(!Zero.zext(64));
29   EXPECT_TRUE(!Zero.sext(64));
30 }
31 
32 // Test that APInt shift left works when bitwidth > 64 and shiftamt == 0
33 TEST(APIntTest, ShiftLeftByZero) {
34   APInt One = APInt::getZero(65) + 1;
35   APInt Shl = One.shl(0);
36   EXPECT_TRUE(Shl[0]);
37   EXPECT_FALSE(Shl[1]);
38 }
39 
40 TEST(APIntTest, i64_ArithmeticRightShiftNegative) {
41   const APInt neg_one(64, static_cast<uint64_t>(-1), true);
42   EXPECT_EQ(neg_one, neg_one.ashr(7));
43 }
44 
45 TEST(APIntTest, i128_NegativeCount) {
46   APInt Minus3(128, static_cast<uint64_t>(-3), true);
47   EXPECT_EQ(126u, Minus3.countl_one());
48   EXPECT_EQ(-3, Minus3.getSExtValue());
49 
50   APInt Minus1(128, static_cast<uint64_t>(-1), true);
51   EXPECT_EQ(0u, Minus1.countl_zero());
52   EXPECT_EQ(128u, Minus1.countl_one());
53   EXPECT_EQ(128u, Minus1.getActiveBits());
54   EXPECT_EQ(0u, Minus1.countr_zero());
55   EXPECT_EQ(128u, Minus1.countr_one());
56   EXPECT_EQ(128u, Minus1.popcount());
57   EXPECT_EQ(-1, Minus1.getSExtValue());
58 }
59 
60 TEST(APIntTest, i33_Count) {
61   APInt i33minus2(33, static_cast<uint64_t>(-2), true);
62   EXPECT_EQ(0u, i33minus2.countl_zero());
63   EXPECT_EQ(32u, i33minus2.countl_one());
64   EXPECT_EQ(33u, i33minus2.getActiveBits());
65   EXPECT_EQ(1u, i33minus2.countr_zero());
66   EXPECT_EQ(32u, i33minus2.popcount());
67   EXPECT_EQ(-2, i33minus2.getSExtValue());
68   EXPECT_EQ(((uint64_t)-2)&((1ull<<33) -1), i33minus2.getZExtValue());
69 }
70 
71 TEST(APIntTest, i61_Count) {
72   APInt i61(61, 1 << 15);
73   EXPECT_EQ(45u, i61.countl_zero());
74   EXPECT_EQ(0u, i61.countl_one());
75   EXPECT_EQ(16u, i61.getActiveBits());
76   EXPECT_EQ(15u, i61.countr_zero());
77   EXPECT_EQ(1u, i61.popcount());
78   EXPECT_EQ(static_cast<int64_t>(1 << 15), i61.getSExtValue());
79   EXPECT_EQ(static_cast<uint64_t>(1 << 15), i61.getZExtValue());
80 
81   i61.setBits(8, 19);
82   EXPECT_EQ(42u, i61.countl_zero());
83   EXPECT_EQ(0u, i61.countl_one());
84   EXPECT_EQ(19u, i61.getActiveBits());
85   EXPECT_EQ(8u, i61.countr_zero());
86   EXPECT_EQ(11u, i61.popcount());
87   EXPECT_EQ(static_cast<int64_t>((1 << 19) - (1 << 8)), i61.getSExtValue());
88   EXPECT_EQ(static_cast<uint64_t>((1 << 19) - (1 << 8)), i61.getZExtValue());
89 }
90 
91 TEST(APIntTest, i65_Count) {
92   APInt i65(65, 0, true);
93   EXPECT_EQ(65u, i65.countl_zero());
94   EXPECT_EQ(0u, i65.countl_one());
95   EXPECT_EQ(0u, i65.getActiveBits());
96   EXPECT_EQ(1u, i65.getActiveWords());
97   EXPECT_EQ(65u, i65.countr_zero());
98   EXPECT_EQ(0u, i65.popcount());
99 
100   APInt i65minus(65, 0, true);
101   i65minus.setBit(64);
102   EXPECT_EQ(0u, i65minus.countl_zero());
103   EXPECT_EQ(1u, i65minus.countl_one());
104   EXPECT_EQ(65u, i65minus.getActiveBits());
105   EXPECT_EQ(64u, i65minus.countr_zero());
106   EXPECT_EQ(1u, i65minus.popcount());
107 }
108 
109 TEST(APIntTest, i128_PositiveCount) {
110   APInt u128max = APInt::getAllOnes(128);
111   EXPECT_EQ(128u, u128max.countl_one());
112   EXPECT_EQ(0u, u128max.countl_zero());
113   EXPECT_EQ(128u, u128max.getActiveBits());
114   EXPECT_EQ(0u, u128max.countr_zero());
115   EXPECT_EQ(128u, u128max.countr_one());
116   EXPECT_EQ(128u, u128max.popcount());
117 
118   APInt u64max(128, static_cast<uint64_t>(-1), false);
119   EXPECT_EQ(64u, u64max.countl_zero());
120   EXPECT_EQ(0u, u64max.countl_one());
121   EXPECT_EQ(64u, u64max.getActiveBits());
122   EXPECT_EQ(0u, u64max.countr_zero());
123   EXPECT_EQ(64u, u64max.countr_one());
124   EXPECT_EQ(64u, u64max.popcount());
125   EXPECT_EQ((uint64_t)~0ull, u64max.getZExtValue());
126 
127   APInt zero(128, 0, true);
128   EXPECT_EQ(128u, zero.countl_zero());
129   EXPECT_EQ(0u, zero.countl_one());
130   EXPECT_EQ(0u, zero.getActiveBits());
131   EXPECT_EQ(128u, zero.countr_zero());
132   EXPECT_EQ(0u, zero.countr_one());
133   EXPECT_EQ(0u, zero.popcount());
134   EXPECT_EQ(0u, zero.getSExtValue());
135   EXPECT_EQ(0u, zero.getZExtValue());
136 
137   APInt one(128, 1, true);
138   EXPECT_EQ(127u, one.countl_zero());
139   EXPECT_EQ(0u, one.countl_one());
140   EXPECT_EQ(1u, one.getActiveBits());
141   EXPECT_EQ(0u, one.countr_zero());
142   EXPECT_EQ(1u, one.countr_one());
143   EXPECT_EQ(1u, one.popcount());
144   EXPECT_EQ(1, one.getSExtValue());
145   EXPECT_EQ(1u, one.getZExtValue());
146 
147   APInt s128(128, 2, true);
148   EXPECT_EQ(126u, s128.countl_zero());
149   EXPECT_EQ(0u, s128.countl_one());
150   EXPECT_EQ(2u, s128.getActiveBits());
151   EXPECT_EQ(1u, s128.countr_zero());
152   EXPECT_EQ(0u, s128.countr_one());
153   EXPECT_EQ(1u, s128.popcount());
154   EXPECT_EQ(2, s128.getSExtValue());
155   EXPECT_EQ(2u, s128.getZExtValue());
156 
157   // NOP Test
158   s128.setBits(42, 42);
159   EXPECT_EQ(126u, s128.countl_zero());
160   EXPECT_EQ(0u, s128.countl_one());
161   EXPECT_EQ(2u, s128.getActiveBits());
162   EXPECT_EQ(1u, s128.countr_zero());
163   EXPECT_EQ(0u, s128.countr_one());
164   EXPECT_EQ(1u, s128.popcount());
165   EXPECT_EQ(2, s128.getSExtValue());
166   EXPECT_EQ(2u, s128.getZExtValue());
167 
168   s128.setBits(3, 32);
169   EXPECT_EQ(96u, s128.countl_zero());
170   EXPECT_EQ(0u, s128.countl_one());
171   EXPECT_EQ(32u, s128.getActiveBits());
172   EXPECT_EQ(33u, s128.getSignificantBits());
173   EXPECT_EQ(1u, s128.countr_zero());
174   EXPECT_EQ(0u, s128.countr_one());
175   EXPECT_EQ(30u, s128.popcount());
176   EXPECT_EQ(static_cast<uint32_t>((~0u << 3) | 2), s128.getZExtValue());
177 
178   s128.setBits(62, 128);
179   EXPECT_EQ(0u, s128.countl_zero());
180   EXPECT_EQ(66u, s128.countl_one());
181   EXPECT_EQ(128u, s128.getActiveBits());
182   EXPECT_EQ(63u, s128.getSignificantBits());
183   EXPECT_EQ(1u, s128.countr_zero());
184   EXPECT_EQ(0u, s128.countr_one());
185   EXPECT_EQ(96u, s128.popcount());
186   EXPECT_EQ(static_cast<int64_t>((3ull << 62) |
187                                  static_cast<uint32_t>((~0u << 3) | 2)),
188             s128.getSExtValue());
189 }
190 
191 TEST(APIntTest, i256) {
192   APInt s256(256, 15, true);
193   EXPECT_EQ(252u, s256.countl_zero());
194   EXPECT_EQ(0u, s256.countl_one());
195   EXPECT_EQ(4u, s256.getActiveBits());
196   EXPECT_EQ(0u, s256.countr_zero());
197   EXPECT_EQ(4u, s256.countr_one());
198   EXPECT_EQ(4u, s256.popcount());
199   EXPECT_EQ(15, s256.getSExtValue());
200   EXPECT_EQ(15u, s256.getZExtValue());
201 
202   s256.setBits(62, 66);
203   EXPECT_EQ(190u, s256.countl_zero());
204   EXPECT_EQ(0u, s256.countl_one());
205   EXPECT_EQ(66u, s256.getActiveBits());
206   EXPECT_EQ(67u, s256.getSignificantBits());
207   EXPECT_EQ(0u, s256.countr_zero());
208   EXPECT_EQ(4u, s256.countr_one());
209   EXPECT_EQ(8u, s256.popcount());
210 
211   s256.setBits(60, 256);
212   EXPECT_EQ(0u, s256.countl_zero());
213   EXPECT_EQ(196u, s256.countl_one());
214   EXPECT_EQ(256u, s256.getActiveBits());
215   EXPECT_EQ(61u, s256.getSignificantBits());
216   EXPECT_EQ(0u, s256.countr_zero());
217   EXPECT_EQ(4u, s256.countr_one());
218   EXPECT_EQ(200u, s256.popcount());
219   EXPECT_EQ(static_cast<int64_t>((~0ull << 60) | 15), s256.getSExtValue());
220 }
221 
222 TEST(APIntTest, i1) {
223   const APInt neg_two(1, static_cast<uint64_t>(-2), true);
224   const APInt neg_one(1, static_cast<uint64_t>(-1), true);
225   const APInt zero(1, 0);
226   const APInt one(1, 1);
227   const APInt two(1, 2);
228 
229   EXPECT_EQ(0, neg_two.getSExtValue());
230   EXPECT_EQ(-1, neg_one.getSExtValue());
231   EXPECT_EQ(1u, neg_one.getZExtValue());
232   EXPECT_EQ(0u, zero.getZExtValue());
233   EXPECT_EQ(-1, one.getSExtValue());
234   EXPECT_EQ(1u, one.getZExtValue());
235   EXPECT_EQ(0u, two.getZExtValue());
236   EXPECT_EQ(0, two.getSExtValue());
237 
238   // Basic equalities for 1-bit values.
239   EXPECT_EQ(zero, two);
240   EXPECT_EQ(zero, neg_two);
241   EXPECT_EQ(one, neg_one);
242   EXPECT_EQ(two, neg_two);
243 
244   // Min/max signed values.
245   EXPECT_TRUE(zero.isMaxSignedValue());
246   EXPECT_FALSE(one.isMaxSignedValue());
247   EXPECT_FALSE(zero.isMinSignedValue());
248   EXPECT_TRUE(one.isMinSignedValue());
249 
250   // Additions.
251   EXPECT_EQ(two, one + one);
252   EXPECT_EQ(zero, neg_one + one);
253   EXPECT_EQ(neg_two, neg_one + neg_one);
254 
255   // Subtractions.
256   EXPECT_EQ(neg_two, neg_one - one);
257   EXPECT_EQ(two, one - neg_one);
258   EXPECT_EQ(zero, one - one);
259 
260   // And
261   EXPECT_EQ(zero, zero & zero);
262   EXPECT_EQ(zero, one & zero);
263   EXPECT_EQ(zero, zero & one);
264   EXPECT_EQ(one, one & one);
265   EXPECT_EQ(zero, zero & zero);
266   EXPECT_EQ(zero, neg_one & zero);
267   EXPECT_EQ(zero, zero & neg_one);
268   EXPECT_EQ(neg_one, neg_one & neg_one);
269 
270   // Or
271   EXPECT_EQ(zero, zero | zero);
272   EXPECT_EQ(one, one | zero);
273   EXPECT_EQ(one, zero | one);
274   EXPECT_EQ(one, one | one);
275   EXPECT_EQ(zero, zero | zero);
276   EXPECT_EQ(neg_one, neg_one | zero);
277   EXPECT_EQ(neg_one, zero | neg_one);
278   EXPECT_EQ(neg_one, neg_one | neg_one);
279 
280   // Xor
281   EXPECT_EQ(zero, zero ^ zero);
282   EXPECT_EQ(one, one ^ zero);
283   EXPECT_EQ(one, zero ^ one);
284   EXPECT_EQ(zero, one ^ one);
285   EXPECT_EQ(zero, zero ^ zero);
286   EXPECT_EQ(neg_one, neg_one ^ zero);
287   EXPECT_EQ(neg_one, zero ^ neg_one);
288   EXPECT_EQ(zero, neg_one ^ neg_one);
289 
290   // Shifts.
291   EXPECT_EQ(zero, one << one);
292   EXPECT_EQ(one, one << zero);
293   EXPECT_EQ(zero, one.shl(1));
294   EXPECT_EQ(one, one.shl(0));
295   EXPECT_EQ(zero, one.lshr(1));
296   EXPECT_EQ(one, one.ashr(1));
297 
298   // Rotates.
299   EXPECT_EQ(one, one.rotl(0));
300   EXPECT_EQ(one, one.rotl(1));
301   EXPECT_EQ(one, one.rotr(0));
302   EXPECT_EQ(one, one.rotr(1));
303 
304   // Multiplies.
305   EXPECT_EQ(neg_one, neg_one * one);
306   EXPECT_EQ(neg_one, one * neg_one);
307   EXPECT_EQ(one, neg_one * neg_one);
308   EXPECT_EQ(one, one * one);
309 
310   // Divides.
311   EXPECT_EQ(neg_one, one.sdiv(neg_one));
312   EXPECT_EQ(neg_one, neg_one.sdiv(one));
313   EXPECT_EQ(one, neg_one.sdiv(neg_one));
314   EXPECT_EQ(one, one.sdiv(one));
315 
316   EXPECT_EQ(neg_one, one.udiv(neg_one));
317   EXPECT_EQ(neg_one, neg_one.udiv(one));
318   EXPECT_EQ(one, neg_one.udiv(neg_one));
319   EXPECT_EQ(one, one.udiv(one));
320 
321   // Remainders.
322   EXPECT_EQ(zero, neg_one.srem(one));
323   EXPECT_EQ(zero, neg_one.urem(one));
324   EXPECT_EQ(zero, one.srem(neg_one));
325 
326   // sdivrem
327   {
328   APInt q(8, 0);
329   APInt r(8, 0);
330   APInt one(8, 1);
331   APInt two(8, 2);
332   APInt nine(8, 9);
333   APInt four(8, 4);
334 
335   EXPECT_EQ(nine.srem(two), one);
336   EXPECT_EQ(nine.srem(-two), one);
337   EXPECT_EQ((-nine).srem(two), -one);
338   EXPECT_EQ((-nine).srem(-two), -one);
339 
340   APInt::sdivrem(nine, two, q, r);
341   EXPECT_EQ(four, q);
342   EXPECT_EQ(one, r);
343   APInt::sdivrem(-nine, two, q, r);
344   EXPECT_EQ(-four, q);
345   EXPECT_EQ(-one, r);
346   APInt::sdivrem(nine, -two, q, r);
347   EXPECT_EQ(-four, q);
348   EXPECT_EQ(one, r);
349   APInt::sdivrem(-nine, -two, q, r);
350   EXPECT_EQ(four, q);
351   EXPECT_EQ(-one, r);
352   }
353 }
354 
355 TEST(APIntTest, compare) {
356   std::array<APInt, 5> testVals{{
357     APInt{16, 2},
358     APInt{16, 1},
359     APInt{16, 0},
360     APInt{16, (uint64_t)-1, true},
361     APInt{16, (uint64_t)-2, true},
362   }};
363 
364   for (auto &arg1 : testVals)
365     for (auto &arg2 : testVals) {
366       auto uv1 = arg1.getZExtValue();
367       auto uv2 = arg2.getZExtValue();
368       auto sv1 = arg1.getSExtValue();
369       auto sv2 = arg2.getSExtValue();
370 
371       EXPECT_EQ(uv1 <  uv2, arg1.ult(arg2));
372       EXPECT_EQ(uv1 <= uv2, arg1.ule(arg2));
373       EXPECT_EQ(uv1 >  uv2, arg1.ugt(arg2));
374       EXPECT_EQ(uv1 >= uv2, arg1.uge(arg2));
375 
376       EXPECT_EQ(sv1 <  sv2, arg1.slt(arg2));
377       EXPECT_EQ(sv1 <= sv2, arg1.sle(arg2));
378       EXPECT_EQ(sv1 >  sv2, arg1.sgt(arg2));
379       EXPECT_EQ(sv1 >= sv2, arg1.sge(arg2));
380 
381       EXPECT_EQ(uv1 <  uv2, arg1.ult(uv2));
382       EXPECT_EQ(uv1 <= uv2, arg1.ule(uv2));
383       EXPECT_EQ(uv1 >  uv2, arg1.ugt(uv2));
384       EXPECT_EQ(uv1 >= uv2, arg1.uge(uv2));
385 
386       EXPECT_EQ(sv1 <  sv2, arg1.slt(sv2));
387       EXPECT_EQ(sv1 <= sv2, arg1.sle(sv2));
388       EXPECT_EQ(sv1 >  sv2, arg1.sgt(sv2));
389       EXPECT_EQ(sv1 >= sv2, arg1.sge(sv2));
390     }
391 }
392 
393 TEST(APIntTest, compareWithRawIntegers) {
394   EXPECT_TRUE(!APInt(8, 1).uge(256));
395   EXPECT_TRUE(!APInt(8, 1).ugt(256));
396   EXPECT_TRUE( APInt(8, 1).ule(256));
397   EXPECT_TRUE( APInt(8, 1).ult(256));
398   EXPECT_TRUE(!APInt(8, 1).sge(256));
399   EXPECT_TRUE(!APInt(8, 1).sgt(256));
400   EXPECT_TRUE( APInt(8, 1).sle(256));
401   EXPECT_TRUE( APInt(8, 1).slt(256));
402   EXPECT_TRUE(!(APInt(8, 0) == 256));
403   EXPECT_TRUE(  APInt(8, 0) != 256);
404   EXPECT_TRUE(!(APInt(8, 1) == 256));
405   EXPECT_TRUE(  APInt(8, 1) != 256);
406 
407   auto uint64max = UINT64_MAX;
408   auto int64max  = INT64_MAX;
409   auto int64min  = INT64_MIN;
410 
411   auto u64 = APInt{128, uint64max};
412   auto s64 = APInt{128, static_cast<uint64_t>(int64max), true};
413   auto big = u64 + 1;
414 
415   EXPECT_TRUE( u64.uge(uint64max));
416   EXPECT_TRUE(!u64.ugt(uint64max));
417   EXPECT_TRUE( u64.ule(uint64max));
418   EXPECT_TRUE(!u64.ult(uint64max));
419   EXPECT_TRUE( u64.sge(int64max));
420   EXPECT_TRUE( u64.sgt(int64max));
421   EXPECT_TRUE(!u64.sle(int64max));
422   EXPECT_TRUE(!u64.slt(int64max));
423   EXPECT_TRUE( u64.sge(int64min));
424   EXPECT_TRUE( u64.sgt(int64min));
425   EXPECT_TRUE(!u64.sle(int64min));
426   EXPECT_TRUE(!u64.slt(int64min));
427 
428   EXPECT_TRUE(u64 == uint64max);
429   EXPECT_TRUE(u64 != int64max);
430   EXPECT_TRUE(u64 != int64min);
431 
432   EXPECT_TRUE(!s64.uge(uint64max));
433   EXPECT_TRUE(!s64.ugt(uint64max));
434   EXPECT_TRUE( s64.ule(uint64max));
435   EXPECT_TRUE( s64.ult(uint64max));
436   EXPECT_TRUE( s64.sge(int64max));
437   EXPECT_TRUE(!s64.sgt(int64max));
438   EXPECT_TRUE( s64.sle(int64max));
439   EXPECT_TRUE(!s64.slt(int64max));
440   EXPECT_TRUE( s64.sge(int64min));
441   EXPECT_TRUE( s64.sgt(int64min));
442   EXPECT_TRUE(!s64.sle(int64min));
443   EXPECT_TRUE(!s64.slt(int64min));
444 
445   EXPECT_TRUE(s64 != uint64max);
446   EXPECT_TRUE(s64 == int64max);
447   EXPECT_TRUE(s64 != int64min);
448 
449   EXPECT_TRUE( big.uge(uint64max));
450   EXPECT_TRUE( big.ugt(uint64max));
451   EXPECT_TRUE(!big.ule(uint64max));
452   EXPECT_TRUE(!big.ult(uint64max));
453   EXPECT_TRUE( big.sge(int64max));
454   EXPECT_TRUE( big.sgt(int64max));
455   EXPECT_TRUE(!big.sle(int64max));
456   EXPECT_TRUE(!big.slt(int64max));
457   EXPECT_TRUE( big.sge(int64min));
458   EXPECT_TRUE( big.sgt(int64min));
459   EXPECT_TRUE(!big.sle(int64min));
460   EXPECT_TRUE(!big.slt(int64min));
461 
462   EXPECT_TRUE(big != uint64max);
463   EXPECT_TRUE(big != int64max);
464   EXPECT_TRUE(big != int64min);
465 }
466 
467 TEST(APIntTest, compareWithInt64Min) {
468   int64_t edge = INT64_MIN;
469   int64_t edgeP1 = edge + 1;
470   int64_t edgeM1 = INT64_MAX;
471   auto a = APInt{64, static_cast<uint64_t>(edge), true};
472 
473   EXPECT_TRUE(!a.slt(edge));
474   EXPECT_TRUE( a.sle(edge));
475   EXPECT_TRUE(!a.sgt(edge));
476   EXPECT_TRUE( a.sge(edge));
477   EXPECT_TRUE( a.slt(edgeP1));
478   EXPECT_TRUE( a.sle(edgeP1));
479   EXPECT_TRUE(!a.sgt(edgeP1));
480   EXPECT_TRUE(!a.sge(edgeP1));
481   EXPECT_TRUE( a.slt(edgeM1));
482   EXPECT_TRUE( a.sle(edgeM1));
483   EXPECT_TRUE(!a.sgt(edgeM1));
484   EXPECT_TRUE(!a.sge(edgeM1));
485 }
486 
487 TEST(APIntTest, compareWithHalfInt64Max) {
488   uint64_t edge = 0x4000000000000000;
489   uint64_t edgeP1 = edge + 1;
490   uint64_t edgeM1 = edge - 1;
491   auto a = APInt{64, edge};
492 
493   EXPECT_TRUE(!a.ult(edge));
494   EXPECT_TRUE( a.ule(edge));
495   EXPECT_TRUE(!a.ugt(edge));
496   EXPECT_TRUE( a.uge(edge));
497   EXPECT_TRUE( a.ult(edgeP1));
498   EXPECT_TRUE( a.ule(edgeP1));
499   EXPECT_TRUE(!a.ugt(edgeP1));
500   EXPECT_TRUE(!a.uge(edgeP1));
501   EXPECT_TRUE(!a.ult(edgeM1));
502   EXPECT_TRUE(!a.ule(edgeM1));
503   EXPECT_TRUE( a.ugt(edgeM1));
504   EXPECT_TRUE( a.uge(edgeM1));
505 
506   EXPECT_TRUE(!a.slt(edge));
507   EXPECT_TRUE( a.sle(edge));
508   EXPECT_TRUE(!a.sgt(edge));
509   EXPECT_TRUE( a.sge(edge));
510   EXPECT_TRUE( a.slt(edgeP1));
511   EXPECT_TRUE( a.sle(edgeP1));
512   EXPECT_TRUE(!a.sgt(edgeP1));
513   EXPECT_TRUE(!a.sge(edgeP1));
514   EXPECT_TRUE(!a.slt(edgeM1));
515   EXPECT_TRUE(!a.sle(edgeM1));
516   EXPECT_TRUE( a.sgt(edgeM1));
517   EXPECT_TRUE( a.sge(edgeM1));
518 }
519 
520 TEST(APIntTest, compareLargeIntegers) {
521   // Make sure all the combinations of signed comparisons work with big ints.
522   auto One = APInt{128, static_cast<uint64_t>(1), true};
523   auto Two = APInt{128, static_cast<uint64_t>(2), true};
524   auto MinusOne = APInt{128, static_cast<uint64_t>(-1), true};
525   auto MinusTwo = APInt{128, static_cast<uint64_t>(-2), true};
526 
527   EXPECT_TRUE(!One.slt(One));
528   EXPECT_TRUE(!Two.slt(One));
529   EXPECT_TRUE(MinusOne.slt(One));
530   EXPECT_TRUE(MinusTwo.slt(One));
531 
532   EXPECT_TRUE(One.slt(Two));
533   EXPECT_TRUE(!Two.slt(Two));
534   EXPECT_TRUE(MinusOne.slt(Two));
535   EXPECT_TRUE(MinusTwo.slt(Two));
536 
537   EXPECT_TRUE(!One.slt(MinusOne));
538   EXPECT_TRUE(!Two.slt(MinusOne));
539   EXPECT_TRUE(!MinusOne.slt(MinusOne));
540   EXPECT_TRUE(MinusTwo.slt(MinusOne));
541 
542   EXPECT_TRUE(!One.slt(MinusTwo));
543   EXPECT_TRUE(!Two.slt(MinusTwo));
544   EXPECT_TRUE(!MinusOne.slt(MinusTwo));
545   EXPECT_TRUE(!MinusTwo.slt(MinusTwo));
546 }
547 
548 TEST(APIntTest, binaryOpsWithRawIntegers) {
549   // Single word check.
550   uint64_t E1 = 0x2CA7F46BF6569915ULL;
551   APInt A1(64, E1);
552 
553   EXPECT_EQ(A1 & E1, E1);
554   EXPECT_EQ(A1 & 0, 0);
555   EXPECT_EQ(A1 & 1, 1);
556   EXPECT_EQ(A1 & 5, 5);
557   EXPECT_EQ(A1 & UINT64_MAX, E1);
558 
559   EXPECT_EQ(A1 | E1, E1);
560   EXPECT_EQ(A1 | 0, E1);
561   EXPECT_EQ(A1 | 1, E1);
562   EXPECT_EQ(A1 | 2, E1 | 2);
563   EXPECT_EQ(A1 | UINT64_MAX, UINT64_MAX);
564 
565   EXPECT_EQ(A1 ^ E1, 0);
566   EXPECT_EQ(A1 ^ 0, E1);
567   EXPECT_EQ(A1 ^ 1, E1 ^ 1);
568   EXPECT_EQ(A1 ^ 7, E1 ^ 7);
569   EXPECT_EQ(A1 ^ UINT64_MAX, ~E1);
570 
571   // Multiword check.
572   uint64_t N = 0xEB6EB136591CBA21ULL;
573   APInt::WordType E2[4] = {
574     N,
575     0x7B9358BD6A33F10AULL,
576     0x7E7FFA5EADD8846ULL,
577     0x305F341CA00B613DULL
578   };
579   APInt A2(APInt::APINT_BITS_PER_WORD*4, E2);
580 
581   EXPECT_EQ(A2 & N, N);
582   EXPECT_EQ(A2 & 0, 0);
583   EXPECT_EQ(A2 & 1, 1);
584   EXPECT_EQ(A2 & 5, 1);
585   EXPECT_EQ(A2 & UINT64_MAX, N);
586 
587   EXPECT_EQ(A2 | N, A2);
588   EXPECT_EQ(A2 | 0, A2);
589   EXPECT_EQ(A2 | 1, A2);
590   EXPECT_EQ(A2 | 2, A2 + 2);
591   EXPECT_EQ(A2 | UINT64_MAX, A2 - N + UINT64_MAX);
592 
593   EXPECT_EQ(A2 ^ N, A2 - N);
594   EXPECT_EQ(A2 ^ 0, A2);
595   EXPECT_EQ(A2 ^ 1, A2 - 1);
596   EXPECT_EQ(A2 ^ 7, A2 + 5);
597   EXPECT_EQ(A2 ^ UINT64_MAX, A2 - N + ~N);
598 }
599 
600 TEST(APIntTest, rvalue_arithmetic) {
601   // Test all combinations of lvalue/rvalue lhs/rhs of add/sub
602 
603   // Lamdba to return an APInt by value, but also provide the raw value of the
604   // allocated data.
605   auto getRValue = [](const char *HexString, uint64_t const *&RawData) {
606     APInt V(129, HexString, 16);
607     RawData = V.getRawData();
608     return V;
609   };
610 
611   APInt One(129, "1", 16);
612   APInt Two(129, "2", 16);
613   APInt Three(129, "3", 16);
614   APInt MinusOne = -One;
615 
616   const uint64_t *RawDataL = nullptr;
617   const uint64_t *RawDataR = nullptr;
618 
619   {
620     // 1 + 1 = 2
621     APInt AddLL = One + One;
622     EXPECT_EQ(AddLL, Two);
623 
624     APInt AddLR = One + getRValue("1", RawDataR);
625     EXPECT_EQ(AddLR, Two);
626     EXPECT_EQ(AddLR.getRawData(), RawDataR);
627 
628     APInt AddRL = getRValue("1", RawDataL) + One;
629     EXPECT_EQ(AddRL, Two);
630     EXPECT_EQ(AddRL.getRawData(), RawDataL);
631 
632     APInt AddRR = getRValue("1", RawDataL) + getRValue("1", RawDataR);
633     EXPECT_EQ(AddRR, Two);
634     EXPECT_EQ(AddRR.getRawData(), RawDataR);
635 
636     // LValue's and constants
637     APInt AddLK = One + 1;
638     EXPECT_EQ(AddLK, Two);
639 
640     APInt AddKL = 1 + One;
641     EXPECT_EQ(AddKL, Two);
642 
643     // RValue's and constants
644     APInt AddRK = getRValue("1", RawDataL) + 1;
645     EXPECT_EQ(AddRK, Two);
646     EXPECT_EQ(AddRK.getRawData(), RawDataL);
647 
648     APInt AddKR = 1 + getRValue("1", RawDataR);
649     EXPECT_EQ(AddKR, Two);
650     EXPECT_EQ(AddKR.getRawData(), RawDataR);
651   }
652 
653   {
654     // 0x0,FFFF...FFFF + 0x2 = 0x100...0001
655     APInt AllOnes(129, "0FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF", 16);
656     APInt HighOneLowOne(129, "100000000000000000000000000000001", 16);
657 
658     APInt AddLL = AllOnes + Two;
659     EXPECT_EQ(AddLL, HighOneLowOne);
660 
661     APInt AddLR = AllOnes + getRValue("2", RawDataR);
662     EXPECT_EQ(AddLR, HighOneLowOne);
663     EXPECT_EQ(AddLR.getRawData(), RawDataR);
664 
665     APInt AddRL = getRValue("FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF", RawDataL) + Two;
666     EXPECT_EQ(AddRL, HighOneLowOne);
667     EXPECT_EQ(AddRL.getRawData(), RawDataL);
668 
669     APInt AddRR = getRValue("FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF", RawDataL) +
670                   getRValue("2", RawDataR);
671     EXPECT_EQ(AddRR, HighOneLowOne);
672     EXPECT_EQ(AddRR.getRawData(), RawDataR);
673 
674     // LValue's and constants
675     APInt AddLK = AllOnes + 2;
676     EXPECT_EQ(AddLK, HighOneLowOne);
677 
678     APInt AddKL = 2 + AllOnes;
679     EXPECT_EQ(AddKL, HighOneLowOne);
680 
681     // RValue's and constants
682     APInt AddRK = getRValue("FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF", RawDataL) + 2;
683     EXPECT_EQ(AddRK, HighOneLowOne);
684     EXPECT_EQ(AddRK.getRawData(), RawDataL);
685 
686     APInt AddKR = 2 + getRValue("FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF", RawDataR);
687     EXPECT_EQ(AddKR, HighOneLowOne);
688     EXPECT_EQ(AddKR.getRawData(), RawDataR);
689   }
690 
691   {
692     // 2 - 1 = 1
693     APInt SubLL = Two - One;
694     EXPECT_EQ(SubLL, One);
695 
696     APInt SubLR = Two - getRValue("1", RawDataR);
697     EXPECT_EQ(SubLR, One);
698     EXPECT_EQ(SubLR.getRawData(), RawDataR);
699 
700     APInt SubRL = getRValue("2", RawDataL) - One;
701     EXPECT_EQ(SubRL, One);
702     EXPECT_EQ(SubRL.getRawData(), RawDataL);
703 
704     APInt SubRR = getRValue("2", RawDataL) - getRValue("1", RawDataR);
705     EXPECT_EQ(SubRR, One);
706     EXPECT_EQ(SubRR.getRawData(), RawDataR);
707 
708     // LValue's and constants
709     APInt SubLK = Two - 1;
710     EXPECT_EQ(SubLK, One);
711 
712     APInt SubKL = 2 - One;
713     EXPECT_EQ(SubKL, One);
714 
715     // RValue's and constants
716     APInt SubRK = getRValue("2", RawDataL) - 1;
717     EXPECT_EQ(SubRK, One);
718     EXPECT_EQ(SubRK.getRawData(), RawDataL);
719 
720     APInt SubKR = 2 - getRValue("1", RawDataR);
721     EXPECT_EQ(SubKR, One);
722     EXPECT_EQ(SubKR.getRawData(), RawDataR);
723   }
724 
725   {
726     // 0x100...0001 - 0x0,FFFF...FFFF = 0x2
727     APInt AllOnes(129, "0FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF", 16);
728     APInt HighOneLowOne(129, "100000000000000000000000000000001", 16);
729 
730     APInt SubLL = HighOneLowOne - AllOnes;
731     EXPECT_EQ(SubLL, Two);
732 
733     APInt SubLR = HighOneLowOne -
734                   getRValue("0FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF", RawDataR);
735     EXPECT_EQ(SubLR, Two);
736     EXPECT_EQ(SubLR.getRawData(), RawDataR);
737 
738     APInt SubRL = getRValue("100000000000000000000000000000001", RawDataL) -
739                   AllOnes;
740     EXPECT_EQ(SubRL, Two);
741     EXPECT_EQ(SubRL.getRawData(), RawDataL);
742 
743     APInt SubRR = getRValue("100000000000000000000000000000001", RawDataL) -
744                   getRValue("0FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF", RawDataR);
745     EXPECT_EQ(SubRR, Two);
746     EXPECT_EQ(SubRR.getRawData(), RawDataR);
747 
748     // LValue's and constants
749     // 0x100...0001 - 0x2 = 0x0,FFFF...FFFF
750     APInt SubLK = HighOneLowOne - 2;
751     EXPECT_EQ(SubLK, AllOnes);
752 
753     // 2 - (-1) = 3
754     APInt SubKL = 2 - MinusOne;
755     EXPECT_EQ(SubKL, Three);
756 
757     // RValue's and constants
758     // 0x100...0001 - 0x2 = 0x0,FFFF...FFFF
759     APInt SubRK = getRValue("100000000000000000000000000000001", RawDataL) - 2;
760     EXPECT_EQ(SubRK, AllOnes);
761     EXPECT_EQ(SubRK.getRawData(), RawDataL);
762 
763     APInt SubKR = 2 - getRValue("1FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF", RawDataR);
764     EXPECT_EQ(SubKR, Three);
765     EXPECT_EQ(SubKR.getRawData(), RawDataR);
766   }
767 }
768 
769 TEST(APIntTest, rvalue_bitwise) {
770   // Test all combinations of lvalue/rvalue lhs/rhs of and/or/xor
771 
772   // Lamdba to return an APInt by value, but also provide the raw value of the
773   // allocated data.
774   auto getRValue = [](const char *HexString, uint64_t const *&RawData) {
775     APInt V(129, HexString, 16);
776     RawData = V.getRawData();
777     return V;
778   };
779 
780   APInt Ten(129, "A", 16);
781   APInt Twelve(129, "C", 16);
782 
783   const uint64_t *RawDataL = nullptr;
784   const uint64_t *RawDataR = nullptr;
785 
786   {
787     // 12 & 10 = 8
788     APInt AndLL = Ten & Twelve;
789     EXPECT_EQ(AndLL, 0x8);
790 
791     APInt AndLR = Ten & getRValue("C", RawDataR);
792     EXPECT_EQ(AndLR, 0x8);
793     EXPECT_EQ(AndLR.getRawData(), RawDataR);
794 
795     APInt AndRL = getRValue("A", RawDataL) & Twelve;
796     EXPECT_EQ(AndRL, 0x8);
797     EXPECT_EQ(AndRL.getRawData(), RawDataL);
798 
799     APInt AndRR = getRValue("A", RawDataL) & getRValue("C", RawDataR);
800     EXPECT_EQ(AndRR, 0x8);
801     EXPECT_EQ(AndRR.getRawData(), RawDataR);
802 
803     // LValue's and constants
804     APInt AndLK = Ten & 0xc;
805     EXPECT_EQ(AndLK, 0x8);
806 
807     APInt AndKL = 0xa & Twelve;
808     EXPECT_EQ(AndKL, 0x8);
809 
810     // RValue's and constants
811     APInt AndRK = getRValue("A", RawDataL) & 0xc;
812     EXPECT_EQ(AndRK, 0x8);
813     EXPECT_EQ(AndRK.getRawData(), RawDataL);
814 
815     APInt AndKR = 0xa & getRValue("C", RawDataR);
816     EXPECT_EQ(AndKR, 0x8);
817     EXPECT_EQ(AndKR.getRawData(), RawDataR);
818   }
819 
820   {
821     // 12 | 10 = 14
822     APInt OrLL = Ten | Twelve;
823     EXPECT_EQ(OrLL, 0xe);
824 
825     APInt OrLR = Ten | getRValue("C", RawDataR);
826     EXPECT_EQ(OrLR, 0xe);
827     EXPECT_EQ(OrLR.getRawData(), RawDataR);
828 
829     APInt OrRL = getRValue("A", RawDataL) | Twelve;
830     EXPECT_EQ(OrRL, 0xe);
831     EXPECT_EQ(OrRL.getRawData(), RawDataL);
832 
833     APInt OrRR = getRValue("A", RawDataL) | getRValue("C", RawDataR);
834     EXPECT_EQ(OrRR, 0xe);
835     EXPECT_EQ(OrRR.getRawData(), RawDataR);
836 
837     // LValue's and constants
838     APInt OrLK = Ten | 0xc;
839     EXPECT_EQ(OrLK, 0xe);
840 
841     APInt OrKL = 0xa | Twelve;
842     EXPECT_EQ(OrKL, 0xe);
843 
844     // RValue's and constants
845     APInt OrRK = getRValue("A", RawDataL) | 0xc;
846     EXPECT_EQ(OrRK, 0xe);
847     EXPECT_EQ(OrRK.getRawData(), RawDataL);
848 
849     APInt OrKR = 0xa | getRValue("C", RawDataR);
850     EXPECT_EQ(OrKR, 0xe);
851     EXPECT_EQ(OrKR.getRawData(), RawDataR);
852   }
853 
854   {
855     // 12 ^ 10 = 6
856     APInt XorLL = Ten ^ Twelve;
857     EXPECT_EQ(XorLL, 0x6);
858 
859     APInt XorLR = Ten ^ getRValue("C", RawDataR);
860     EXPECT_EQ(XorLR, 0x6);
861     EXPECT_EQ(XorLR.getRawData(), RawDataR);
862 
863     APInt XorRL = getRValue("A", RawDataL) ^ Twelve;
864     EXPECT_EQ(XorRL, 0x6);
865     EXPECT_EQ(XorRL.getRawData(), RawDataL);
866 
867     APInt XorRR = getRValue("A", RawDataL) ^ getRValue("C", RawDataR);
868     EXPECT_EQ(XorRR, 0x6);
869     EXPECT_EQ(XorRR.getRawData(), RawDataR);
870 
871     // LValue's and constants
872     APInt XorLK = Ten ^ 0xc;
873     EXPECT_EQ(XorLK, 0x6);
874 
875     APInt XorKL = 0xa ^ Twelve;
876     EXPECT_EQ(XorKL, 0x6);
877 
878     // RValue's and constants
879     APInt XorRK = getRValue("A", RawDataL) ^ 0xc;
880     EXPECT_EQ(XorRK, 0x6);
881     EXPECT_EQ(XorRK.getRawData(), RawDataL);
882 
883     APInt XorKR = 0xa ^ getRValue("C", RawDataR);
884     EXPECT_EQ(XorKR, 0x6);
885     EXPECT_EQ(XorKR.getRawData(), RawDataR);
886   }
887 }
888 
889 TEST(APIntTest, rvalue_invert) {
890   // Lamdba to return an APInt by value, but also provide the raw value of the
891   // allocated data.
892   auto getRValue = [](const char *HexString, uint64_t const *&RawData) {
893     APInt V(129, HexString, 16);
894     RawData = V.getRawData();
895     return V;
896   };
897 
898   APInt One(129, 1);
899   APInt NegativeTwo(129, -2ULL, true);
900 
901   const uint64_t *RawData = nullptr;
902 
903   {
904     // ~1 = -2
905     APInt NegL = ~One;
906     EXPECT_EQ(NegL, NegativeTwo);
907 
908     APInt NegR = ~getRValue("1", RawData);
909     EXPECT_EQ(NegR, NegativeTwo);
910     EXPECT_EQ(NegR.getRawData(), RawData);
911   }
912 }
913 
914 // Tests different div/rem varaints using scheme (a * b + c) / a
915 void testDiv(APInt a, APInt b, APInt c) {
916   ASSERT_TRUE(a.uge(b)); // Must: a >= b
917   ASSERT_TRUE(a.ugt(c)); // Must: a > c
918 
919   auto p = a * b + c;
920 
921   auto q = p.udiv(a);
922   auto r = p.urem(a);
923   EXPECT_EQ(b, q);
924   EXPECT_EQ(c, r);
925   APInt::udivrem(p, a, q, r);
926   EXPECT_EQ(b, q);
927   EXPECT_EQ(c, r);
928   q = p.sdiv(a);
929   r = p.srem(a);
930   EXPECT_EQ(b, q);
931   EXPECT_EQ(c, r);
932   APInt::sdivrem(p, a, q, r);
933   EXPECT_EQ(b, q);
934   EXPECT_EQ(c, r);
935 
936   if (b.ugt(c)) { // Test also symmetric case
937     q = p.udiv(b);
938     r = p.urem(b);
939     EXPECT_EQ(a, q);
940     EXPECT_EQ(c, r);
941     APInt::udivrem(p, b, q, r);
942     EXPECT_EQ(a, q);
943     EXPECT_EQ(c, r);
944     q = p.sdiv(b);
945     r = p.srem(b);
946     EXPECT_EQ(a, q);
947     EXPECT_EQ(c, r);
948     APInt::sdivrem(p, b, q, r);
949     EXPECT_EQ(a, q);
950     EXPECT_EQ(c, r);
951   }
952 }
953 
954 TEST(APIntTest, divrem_big1) {
955   // Tests KnuthDiv rare step D6
956   testDiv({256, "1ffffffffffffffff", 16},
957           {256, "1ffffffffffffffff", 16},
958           {256, 0});
959 }
960 
961 TEST(APIntTest, divrem_big2) {
962   // Tests KnuthDiv rare step D6
963   testDiv({1024,                       "112233ceff"
964                  "cecece000000ffffffffffffffffffff"
965                  "ffffffffffffffffffffffffffffffff"
966                  "ffffffffffffffffffffffffffffffff"
967                  "ffffffffffffffffffffffffffffff33", 16},
968           {1024,           "111111ffffffffffffffff"
969                  "ffffffffffffffffffffffffffffffff"
970                  "fffffffffffffffffffffffffffffccf"
971                  "ffffffffffffffffffffffffffffff00", 16},
972           {1024, 7919});
973 }
974 
975 TEST(APIntTest, divrem_big3) {
976   // Tests KnuthDiv case without shift
977   testDiv({256, "80000001ffffffffffffffff", 16},
978           {256, "ffffffffffffff0000000", 16},
979           {256, 4219});
980 }
981 
982 TEST(APIntTest, divrem_big4) {
983   // Tests heap allocation in divide() enfoced by huge numbers
984   testDiv(APInt{4096, 5}.shl(2001),
985           APInt{4096, 1}.shl(2000),
986           APInt{4096, 4219*13});
987 }
988 
989 TEST(APIntTest, divrem_big5) {
990   // Tests one word divisor case of divide()
991   testDiv(APInt{1024, 19}.shl(811),
992           APInt{1024, 4356013}, // one word
993           APInt{1024, 1});
994 }
995 
996 TEST(APIntTest, divrem_big6) {
997   // Tests some rare "borrow" cases in D4 step
998   testDiv(APInt{512, "ffffffffffffffff00000000000000000000000001", 16},
999           APInt{512, "10000000000000001000000000000001", 16},
1000           APInt{512, "10000000000000000000000000000000", 16});
1001 }
1002 
1003 TEST(APIntTest, divrem_big7) {
1004   // Yet another test for KnuthDiv rare step D6.
1005   testDiv({224, "800000008000000200000005", 16},
1006           {224, "fffffffd", 16},
1007           {224, "80000000800000010000000f", 16});
1008 }
1009 
1010 void testDiv(APInt a, uint64_t b, APInt c) {
1011   auto p = a * b + c;
1012 
1013   APInt q;
1014   uint64_t r;
1015   // Unsigned division will only work if our original number wasn't negative.
1016   if (!a.isNegative()) {
1017     q = p.udiv(b);
1018     r = p.urem(b);
1019     EXPECT_EQ(a, q);
1020     EXPECT_EQ(c, r);
1021     APInt::udivrem(p, b, q, r);
1022     EXPECT_EQ(a, q);
1023     EXPECT_EQ(c, r);
1024   }
1025   q = p.sdiv(b);
1026   r = p.srem(b);
1027   EXPECT_EQ(a, q);
1028   if (c.isNegative())
1029     EXPECT_EQ(-c, -r); // Need to negate so the uint64_t compare will work.
1030   else
1031     EXPECT_EQ(c, r);
1032   int64_t sr;
1033   APInt::sdivrem(p, b, q, sr);
1034   EXPECT_EQ(a, q);
1035   if (c.isNegative())
1036     EXPECT_EQ(-c, -sr); // Need to negate so the uint64_t compare will work.
1037   else
1038     EXPECT_EQ(c, sr);
1039 }
1040 
1041 TEST(APIntTest, divremuint) {
1042   // Single word APInt
1043   testDiv(APInt{64, 9},
1044           2,
1045           APInt{64, 1});
1046 
1047   // Single word negative APInt
1048   testDiv(-APInt{64, 9},
1049           2,
1050           -APInt{64, 1});
1051 
1052   // Multiword dividend with only one significant word.
1053   testDiv(APInt{256, 9},
1054           2,
1055           APInt{256, 1});
1056 
1057   // Negative dividend.
1058   testDiv(-APInt{256, 9},
1059           2,
1060           -APInt{256, 1});
1061 
1062   // Multiword dividend
1063   testDiv(APInt{1024, 19}.shl(811),
1064           4356013, // one word
1065           APInt{1024, 1});
1066 }
1067 
1068 TEST(APIntTest, divrem_simple) {
1069   // Test simple cases.
1070   APInt A(65, 2), B(65, 2);
1071   APInt Q, R;
1072 
1073   // X / X
1074   APInt::sdivrem(A, B, Q, R);
1075   EXPECT_EQ(Q, APInt(65, 1));
1076   EXPECT_EQ(R, APInt(65, 0));
1077   APInt::udivrem(A, B, Q, R);
1078   EXPECT_EQ(Q, APInt(65, 1));
1079   EXPECT_EQ(R, APInt(65, 0));
1080 
1081   // 0 / X
1082   APInt O(65, 0);
1083   APInt::sdivrem(O, B, Q, R);
1084   EXPECT_EQ(Q, APInt(65, 0));
1085   EXPECT_EQ(R, APInt(65, 0));
1086   APInt::udivrem(O, B, Q, R);
1087   EXPECT_EQ(Q, APInt(65, 0));
1088   EXPECT_EQ(R, APInt(65, 0));
1089 
1090   // X / 1
1091   APInt I(65, 1);
1092   APInt::sdivrem(A, I, Q, R);
1093   EXPECT_EQ(Q, A);
1094   EXPECT_EQ(R, APInt(65, 0));
1095   APInt::udivrem(A, I, Q, R);
1096   EXPECT_EQ(Q, A);
1097   EXPECT_EQ(R, APInt(65, 0));
1098 }
1099 
1100 TEST(APIntTest, fromString) {
1101   EXPECT_EQ(APInt(32, 0), APInt(32,   "0", 2));
1102   EXPECT_EQ(APInt(32, 1), APInt(32,   "1", 2));
1103   EXPECT_EQ(APInt(32, 2), APInt(32,  "10", 2));
1104   EXPECT_EQ(APInt(32, 3), APInt(32,  "11", 2));
1105   EXPECT_EQ(APInt(32, 4), APInt(32, "100", 2));
1106 
1107   EXPECT_EQ(APInt(32, 0), APInt(32,   "+0", 2));
1108   EXPECT_EQ(APInt(32, 1), APInt(32,   "+1", 2));
1109   EXPECT_EQ(APInt(32, 2), APInt(32,  "+10", 2));
1110   EXPECT_EQ(APInt(32, 3), APInt(32,  "+11", 2));
1111   EXPECT_EQ(APInt(32, 4), APInt(32, "+100", 2));
1112 
1113   EXPECT_EQ(APInt(32, uint64_t(-0LL)), APInt(32,   "-0", 2));
1114   EXPECT_EQ(APInt(32, uint64_t(-1LL)), APInt(32,   "-1", 2));
1115   EXPECT_EQ(APInt(32, uint64_t(-2LL)), APInt(32,  "-10", 2));
1116   EXPECT_EQ(APInt(32, uint64_t(-3LL)), APInt(32,  "-11", 2));
1117   EXPECT_EQ(APInt(32, uint64_t(-4LL)), APInt(32, "-100", 2));
1118 
1119   EXPECT_EQ(APInt(32,  0), APInt(32,  "0",  8));
1120   EXPECT_EQ(APInt(32,  1), APInt(32,  "1",  8));
1121   EXPECT_EQ(APInt(32,  7), APInt(32,  "7",  8));
1122   EXPECT_EQ(APInt(32,  8), APInt(32,  "10", 8));
1123   EXPECT_EQ(APInt(32, 15), APInt(32,  "17", 8));
1124   EXPECT_EQ(APInt(32, 16), APInt(32,  "20", 8));
1125 
1126   EXPECT_EQ(APInt(32,  +0), APInt(32,  "+0",  8));
1127   EXPECT_EQ(APInt(32,  +1), APInt(32,  "+1",  8));
1128   EXPECT_EQ(APInt(32,  +7), APInt(32,  "+7",  8));
1129   EXPECT_EQ(APInt(32,  +8), APInt(32,  "+10", 8));
1130   EXPECT_EQ(APInt(32, +15), APInt(32,  "+17", 8));
1131   EXPECT_EQ(APInt(32, +16), APInt(32,  "+20", 8));
1132 
1133   EXPECT_EQ(APInt(32,  uint64_t(-0LL)), APInt(32,  "-0",  8));
1134   EXPECT_EQ(APInt(32,  uint64_t(-1LL)), APInt(32,  "-1",  8));
1135   EXPECT_EQ(APInt(32,  uint64_t(-7LL)), APInt(32,  "-7",  8));
1136   EXPECT_EQ(APInt(32,  uint64_t(-8LL)), APInt(32,  "-10", 8));
1137   EXPECT_EQ(APInt(32, uint64_t(-15LL)), APInt(32,  "-17", 8));
1138   EXPECT_EQ(APInt(32, uint64_t(-16LL)), APInt(32,  "-20", 8));
1139 
1140   EXPECT_EQ(APInt(32,  0), APInt(32,  "0", 10));
1141   EXPECT_EQ(APInt(32,  1), APInt(32,  "1", 10));
1142   EXPECT_EQ(APInt(32,  9), APInt(32,  "9", 10));
1143   EXPECT_EQ(APInt(32, 10), APInt(32, "10", 10));
1144   EXPECT_EQ(APInt(32, 19), APInt(32, "19", 10));
1145   EXPECT_EQ(APInt(32, 20), APInt(32, "20", 10));
1146 
1147   EXPECT_EQ(APInt(32,  uint64_t(-0LL)), APInt(32,  "-0", 10));
1148   EXPECT_EQ(APInt(32,  uint64_t(-1LL)), APInt(32,  "-1", 10));
1149   EXPECT_EQ(APInt(32,  uint64_t(-9LL)), APInt(32,  "-9", 10));
1150   EXPECT_EQ(APInt(32, uint64_t(-10LL)), APInt(32, "-10", 10));
1151   EXPECT_EQ(APInt(32, uint64_t(-19LL)), APInt(32, "-19", 10));
1152   EXPECT_EQ(APInt(32, uint64_t(-20LL)), APInt(32, "-20", 10));
1153 
1154   EXPECT_EQ(APInt(32,  0), APInt(32,  "0", 16));
1155   EXPECT_EQ(APInt(32,  1), APInt(32,  "1", 16));
1156   EXPECT_EQ(APInt(32, 15), APInt(32,  "F", 16));
1157   EXPECT_EQ(APInt(32, 16), APInt(32, "10", 16));
1158   EXPECT_EQ(APInt(32, 31), APInt(32, "1F", 16));
1159   EXPECT_EQ(APInt(32, 32), APInt(32, "20", 16));
1160 
1161   EXPECT_EQ(APInt(32,  uint64_t(-0LL)), APInt(32,  "-0", 16));
1162   EXPECT_EQ(APInt(32,  uint64_t(-1LL)), APInt(32,  "-1", 16));
1163   EXPECT_EQ(APInt(32, uint64_t(-15LL)), APInt(32,  "-F", 16));
1164   EXPECT_EQ(APInt(32, uint64_t(-16LL)), APInt(32, "-10", 16));
1165   EXPECT_EQ(APInt(32, uint64_t(-31LL)), APInt(32, "-1F", 16));
1166   EXPECT_EQ(APInt(32, uint64_t(-32LL)), APInt(32, "-20", 16));
1167 
1168   EXPECT_EQ(APInt(32,  0), APInt(32,  "0", 36));
1169   EXPECT_EQ(APInt(32,  1), APInt(32,  "1", 36));
1170   EXPECT_EQ(APInt(32, 35), APInt(32,  "Z", 36));
1171   EXPECT_EQ(APInt(32, 36), APInt(32, "10", 36));
1172   EXPECT_EQ(APInt(32, 71), APInt(32, "1Z", 36));
1173   EXPECT_EQ(APInt(32, 72), APInt(32, "20", 36));
1174 
1175   EXPECT_EQ(APInt(32,  uint64_t(-0LL)), APInt(32,  "-0", 36));
1176   EXPECT_EQ(APInt(32,  uint64_t(-1LL)), APInt(32,  "-1", 36));
1177   EXPECT_EQ(APInt(32, uint64_t(-35LL)), APInt(32,  "-Z", 36));
1178   EXPECT_EQ(APInt(32, uint64_t(-36LL)), APInt(32, "-10", 36));
1179   EXPECT_EQ(APInt(32, uint64_t(-71LL)), APInt(32, "-1Z", 36));
1180   EXPECT_EQ(APInt(32, uint64_t(-72LL)), APInt(32, "-20", 36));
1181 }
1182 
1183 TEST(APIntTest, SaturatingMath) {
1184   APInt AP_10 = APInt(8, 10);
1185   APInt AP_42 = APInt(8, 42);
1186   APInt AP_100 = APInt(8, 100);
1187   APInt AP_200 = APInt(8, 200);
1188 
1189   EXPECT_EQ(APInt(8, 100), AP_100.truncUSat(8));
1190   EXPECT_EQ(APInt(7, 100), AP_100.truncUSat(7));
1191   EXPECT_EQ(APInt(6, 63), AP_100.truncUSat(6));
1192   EXPECT_EQ(APInt(5, 31), AP_100.truncUSat(5));
1193 
1194   EXPECT_EQ(APInt(8, 200), AP_200.truncUSat(8));
1195   EXPECT_EQ(APInt(7, 127), AP_200.truncUSat(7));
1196   EXPECT_EQ(APInt(6, 63), AP_200.truncUSat(6));
1197   EXPECT_EQ(APInt(5, 31), AP_200.truncUSat(5));
1198 
1199   EXPECT_EQ(APInt(8, 42), AP_42.truncSSat(8));
1200   EXPECT_EQ(APInt(7, 42), AP_42.truncSSat(7));
1201   EXPECT_EQ(APInt(6, 31), AP_42.truncSSat(6));
1202   EXPECT_EQ(APInt(5, 15), AP_42.truncSSat(5));
1203 
1204   EXPECT_EQ(APInt(8, -56), AP_200.truncSSat(8));
1205   EXPECT_EQ(APInt(7, -56), AP_200.truncSSat(7));
1206   EXPECT_EQ(APInt(6, -32), AP_200.truncSSat(6));
1207   EXPECT_EQ(APInt(5, -16), AP_200.truncSSat(5));
1208 
1209   EXPECT_EQ(APInt(8, 200), AP_100.uadd_sat(AP_100));
1210   EXPECT_EQ(APInt(8, 255), AP_100.uadd_sat(AP_200));
1211   EXPECT_EQ(APInt(8, 255), APInt(8, 255).uadd_sat(APInt(8, 255)));
1212 
1213   EXPECT_EQ(APInt(8, 110), AP_10.sadd_sat(AP_100));
1214   EXPECT_EQ(APInt(8, 127), AP_100.sadd_sat(AP_100));
1215   EXPECT_EQ(APInt(8, -128), (-AP_100).sadd_sat(-AP_100));
1216   EXPECT_EQ(APInt(8, -128), APInt(8, -128).sadd_sat(APInt(8, -128)));
1217 
1218   EXPECT_EQ(APInt(8, 90), AP_100.usub_sat(AP_10));
1219   EXPECT_EQ(APInt(8, 0), AP_100.usub_sat(AP_200));
1220   EXPECT_EQ(APInt(8, 0), APInt(8, 0).usub_sat(APInt(8, 255)));
1221 
1222   EXPECT_EQ(APInt(8, -90), AP_10.ssub_sat(AP_100));
1223   EXPECT_EQ(APInt(8, 127), AP_100.ssub_sat(-AP_100));
1224   EXPECT_EQ(APInt(8, -128), (-AP_100).ssub_sat(AP_100));
1225   EXPECT_EQ(APInt(8, -128), APInt(8, -128).ssub_sat(APInt(8, 127)));
1226 
1227   EXPECT_EQ(APInt(8, 250), APInt(8, 50).umul_sat(APInt(8, 5)));
1228   EXPECT_EQ(APInt(8, 255), APInt(8, 50).umul_sat(APInt(8, 6)));
1229   EXPECT_EQ(APInt(8, 255), APInt(8, -128).umul_sat(APInt(8, 3)));
1230   EXPECT_EQ(APInt(8, 255), APInt(8, 3).umul_sat(APInt(8, -128)));
1231   EXPECT_EQ(APInt(8, 255), APInt(8, -128).umul_sat(APInt(8, -128)));
1232 
1233   EXPECT_EQ(APInt(8, 125), APInt(8, 25).smul_sat(APInt(8, 5)));
1234   EXPECT_EQ(APInt(8, 127), APInt(8, 25).smul_sat(APInt(8, 6)));
1235   EXPECT_EQ(APInt(8, 127), APInt(8, 127).smul_sat(APInt(8, 127)));
1236   EXPECT_EQ(APInt(8, -125), APInt(8, -25).smul_sat(APInt(8, 5)));
1237   EXPECT_EQ(APInt(8, -125), APInt(8, 25).smul_sat(APInt(8, -5)));
1238   EXPECT_EQ(APInt(8, 125), APInt(8, -25).smul_sat(APInt(8, -5)));
1239   EXPECT_EQ(APInt(8, 125), APInt(8, 25).smul_sat(APInt(8, 5)));
1240   EXPECT_EQ(APInt(8, -128), APInt(8, -25).smul_sat(APInt(8, 6)));
1241   EXPECT_EQ(APInt(8, -128), APInt(8, 25).smul_sat(APInt(8, -6)));
1242   EXPECT_EQ(APInt(8, 127), APInt(8, -25).smul_sat(APInt(8, -6)));
1243   EXPECT_EQ(APInt(8, 127), APInt(8, 25).smul_sat(APInt(8, 6)));
1244 
1245   EXPECT_EQ(APInt(8, 128), APInt(8, 4).ushl_sat(APInt(8, 5)));
1246   EXPECT_EQ(APInt(8, 255), APInt(8, 4).ushl_sat(APInt(8, 6)));
1247   EXPECT_EQ(APInt(8, 128), APInt(8, 1).ushl_sat(APInt(8, 7)));
1248   EXPECT_EQ(APInt(8, 255), APInt(8, 1).ushl_sat(APInt(8, 8)));
1249   EXPECT_EQ(APInt(8, 255), APInt(8, -128).ushl_sat(APInt(8, 2)));
1250   EXPECT_EQ(APInt(8, 255), APInt(8, 64).ushl_sat(APInt(8, 2)));
1251   EXPECT_EQ(APInt(8, 255), APInt(8, 64).ushl_sat(APInt(8, -2)));
1252 
1253   EXPECT_EQ(APInt(8, 64), APInt(8, 4).sshl_sat(APInt(8, 4)));
1254   EXPECT_EQ(APInt(8, 127), APInt(8, 4).sshl_sat(APInt(8, 5)));
1255   EXPECT_EQ(APInt(8, 127), APInt(8, 1).sshl_sat(APInt(8, 8)));
1256   EXPECT_EQ(APInt(8, -64), APInt(8, -4).sshl_sat(APInt(8, 4)));
1257   EXPECT_EQ(APInt(8, -128), APInt(8, -4).sshl_sat(APInt(8, 5)));
1258   EXPECT_EQ(APInt(8, -128), APInt(8, -4).sshl_sat(APInt(8, 6)));
1259   EXPECT_EQ(APInt(8, -128), APInt(8, -1).sshl_sat(APInt(8, 7)));
1260   EXPECT_EQ(APInt(8, -128), APInt(8, -1).sshl_sat(APInt(8, 8)));
1261 }
1262 
1263 TEST(APIntTest, FromArray) {
1264   EXPECT_EQ(APInt(32, uint64_t(1)), APInt(32, ArrayRef<uint64_t>(1)));
1265 }
1266 
1267 TEST(APIntTest, StringBitsNeeded2) {
1268   EXPECT_EQ(1U, APInt::getBitsNeeded(  "0", 2));
1269   EXPECT_EQ(1U, APInt::getBitsNeeded(  "1", 2));
1270   EXPECT_EQ(2U, APInt::getBitsNeeded( "10", 2));
1271   EXPECT_EQ(2U, APInt::getBitsNeeded( "11", 2));
1272   EXPECT_EQ(3U, APInt::getBitsNeeded("100", 2));
1273 
1274   EXPECT_EQ(1U, APInt::getBitsNeeded(  "+0", 2));
1275   EXPECT_EQ(1U, APInt::getBitsNeeded(  "+1", 2));
1276   EXPECT_EQ(2U, APInt::getBitsNeeded( "+10", 2));
1277   EXPECT_EQ(2U, APInt::getBitsNeeded( "+11", 2));
1278   EXPECT_EQ(3U, APInt::getBitsNeeded("+100", 2));
1279 
1280   EXPECT_EQ(2U, APInt::getBitsNeeded(  "-0", 2));
1281   EXPECT_EQ(2U, APInt::getBitsNeeded(  "-1", 2));
1282   EXPECT_EQ(3U, APInt::getBitsNeeded( "-10", 2));
1283   EXPECT_EQ(3U, APInt::getBitsNeeded( "-11", 2));
1284   EXPECT_EQ(4U, APInt::getBitsNeeded("-100", 2));
1285 }
1286 
1287 TEST(APIntTest, StringBitsNeeded8) {
1288   EXPECT_EQ(3U, APInt::getBitsNeeded( "0", 8));
1289   EXPECT_EQ(3U, APInt::getBitsNeeded( "7", 8));
1290   EXPECT_EQ(6U, APInt::getBitsNeeded("10", 8));
1291   EXPECT_EQ(6U, APInt::getBitsNeeded("17", 8));
1292   EXPECT_EQ(6U, APInt::getBitsNeeded("20", 8));
1293 
1294   EXPECT_EQ(3U, APInt::getBitsNeeded( "+0", 8));
1295   EXPECT_EQ(3U, APInt::getBitsNeeded( "+7", 8));
1296   EXPECT_EQ(6U, APInt::getBitsNeeded("+10", 8));
1297   EXPECT_EQ(6U, APInt::getBitsNeeded("+17", 8));
1298   EXPECT_EQ(6U, APInt::getBitsNeeded("+20", 8));
1299 
1300   EXPECT_EQ(4U, APInt::getBitsNeeded( "-0", 8));
1301   EXPECT_EQ(4U, APInt::getBitsNeeded( "-7", 8));
1302   EXPECT_EQ(7U, APInt::getBitsNeeded("-10", 8));
1303   EXPECT_EQ(7U, APInt::getBitsNeeded("-17", 8));
1304   EXPECT_EQ(7U, APInt::getBitsNeeded("-20", 8));
1305 }
1306 
1307 TEST(APIntTest, StringBitsNeeded10) {
1308   EXPECT_EQ(1U, APInt::getBitsNeeded( "0", 10));
1309   EXPECT_EQ(2U, APInt::getBitsNeeded( "3", 10));
1310   EXPECT_EQ(4U, APInt::getBitsNeeded( "9", 10));
1311   EXPECT_EQ(4U, APInt::getBitsNeeded("10", 10));
1312   EXPECT_EQ(5U, APInt::getBitsNeeded("19", 10));
1313   EXPECT_EQ(5U, APInt::getBitsNeeded("20", 10));
1314 
1315   EXPECT_EQ(1U, APInt::getBitsNeeded( "+0", 10));
1316   EXPECT_EQ(4U, APInt::getBitsNeeded( "+9", 10));
1317   EXPECT_EQ(4U, APInt::getBitsNeeded("+10", 10));
1318   EXPECT_EQ(5U, APInt::getBitsNeeded("+19", 10));
1319   EXPECT_EQ(5U, APInt::getBitsNeeded("+20", 10));
1320 
1321   EXPECT_EQ(2U, APInt::getBitsNeeded( "-0", 10));
1322   EXPECT_EQ(5U, APInt::getBitsNeeded( "-9", 10));
1323   EXPECT_EQ(5U, APInt::getBitsNeeded("-10", 10));
1324   EXPECT_EQ(6U, APInt::getBitsNeeded("-19", 10));
1325   EXPECT_EQ(6U, APInt::getBitsNeeded("-20", 10));
1326 
1327   EXPECT_EQ(1U, APInt::getBitsNeeded("-1", 10));
1328   EXPECT_EQ(2U, APInt::getBitsNeeded("-2", 10));
1329   EXPECT_EQ(3U, APInt::getBitsNeeded("-4", 10));
1330   EXPECT_EQ(4U, APInt::getBitsNeeded("-8", 10));
1331   EXPECT_EQ(5U, APInt::getBitsNeeded("-16", 10));
1332   EXPECT_EQ(6U, APInt::getBitsNeeded("-23", 10));
1333   EXPECT_EQ(6U, APInt::getBitsNeeded("-32", 10));
1334   EXPECT_EQ(7U, APInt::getBitsNeeded("-64", 10));
1335   EXPECT_EQ(8U, APInt::getBitsNeeded("-127", 10));
1336   EXPECT_EQ(8U, APInt::getBitsNeeded("-128", 10));
1337   EXPECT_EQ(9U, APInt::getBitsNeeded("-255", 10));
1338   EXPECT_EQ(9U, APInt::getBitsNeeded("-256", 10));
1339   EXPECT_EQ(10U, APInt::getBitsNeeded("-512", 10));
1340   EXPECT_EQ(11U, APInt::getBitsNeeded("-1024", 10));
1341   EXPECT_EQ(12U, APInt::getBitsNeeded("-1025", 10));
1342 }
1343 
1344 TEST(APIntTest, StringBitsNeeded16) {
1345   EXPECT_EQ(4U, APInt::getBitsNeeded( "0", 16));
1346   EXPECT_EQ(4U, APInt::getBitsNeeded( "F", 16));
1347   EXPECT_EQ(8U, APInt::getBitsNeeded("10", 16));
1348   EXPECT_EQ(8U, APInt::getBitsNeeded("1F", 16));
1349   EXPECT_EQ(8U, APInt::getBitsNeeded("20", 16));
1350 
1351   EXPECT_EQ(4U, APInt::getBitsNeeded( "+0", 16));
1352   EXPECT_EQ(4U, APInt::getBitsNeeded( "+F", 16));
1353   EXPECT_EQ(8U, APInt::getBitsNeeded("+10", 16));
1354   EXPECT_EQ(8U, APInt::getBitsNeeded("+1F", 16));
1355   EXPECT_EQ(8U, APInt::getBitsNeeded("+20", 16));
1356 
1357   EXPECT_EQ(5U, APInt::getBitsNeeded( "-0", 16));
1358   EXPECT_EQ(5U, APInt::getBitsNeeded( "-F", 16));
1359   EXPECT_EQ(9U, APInt::getBitsNeeded("-10", 16));
1360   EXPECT_EQ(9U, APInt::getBitsNeeded("-1F", 16));
1361   EXPECT_EQ(9U, APInt::getBitsNeeded("-20", 16));
1362 }
1363 
1364 TEST(APIntTest, toString) {
1365   SmallString<16> S;
1366   bool isSigned;
1367 
1368   APInt(8, 0).toString(S, 2, true, true);
1369   EXPECT_EQ(std::string(S), "0b0");
1370   S.clear();
1371   APInt(8, 0).toString(S, 8, true, true);
1372   EXPECT_EQ(std::string(S), "00");
1373   S.clear();
1374   APInt(8, 0).toString(S, 10, true, true);
1375   EXPECT_EQ(std::string(S), "0");
1376   S.clear();
1377   APInt(8, 0).toString(S, 16, true, true);
1378   EXPECT_EQ(std::string(S), "0x0");
1379   S.clear();
1380   APInt(8, 0).toString(S, 36, true, false);
1381   EXPECT_EQ(std::string(S), "0");
1382   S.clear();
1383 
1384   // with separators
1385   APInt(64, 140).toString(S, 2, false, true, false, true);
1386   EXPECT_EQ(std::string(S), "0b1000'1100");
1387   S.clear();
1388   APInt(64, 1024).toString(S, 8, false, true, false, true);
1389   EXPECT_EQ(std::string(S), "02'000");
1390   S.clear();
1391   APInt(64, 1000000).toString(S, 10, false, true, false, true);
1392   EXPECT_EQ(std::string(S), "1'000'000");
1393   S.clear();
1394   APInt(64, 1000000).toString(S, 16, false, true, true, true);
1395   EXPECT_EQ(std::string(S), "0xF'4240");
1396   S.clear();
1397   APInt(64, 1'000'000'000).toString(S, 36, false, false, false, true);
1398   EXPECT_EQ(std::string(S), "gj'dgxs");
1399   S.clear();
1400 
1401   isSigned = false;
1402   APInt(8, 255, isSigned).toString(S, 2, isSigned, true);
1403   EXPECT_EQ(std::string(S), "0b11111111");
1404   S.clear();
1405   APInt(8, 255, isSigned).toString(S, 8, isSigned, true);
1406   EXPECT_EQ(std::string(S), "0377");
1407   S.clear();
1408   APInt(8, 255, isSigned).toString(S, 10, isSigned, true);
1409   EXPECT_EQ(std::string(S), "255");
1410   S.clear();
1411   APInt(8, 255, isSigned).toString(S, 16, isSigned, true, /*UpperCase=*/false);
1412   EXPECT_EQ(std::string(S), "0xff");
1413   S.clear();
1414   APInt(8, 255, isSigned).toString(S, 16, isSigned, true);
1415   EXPECT_EQ(std::string(S), "0xFF");
1416   S.clear();
1417   APInt(8, 255, isSigned).toString(S, 36, isSigned, false);
1418   EXPECT_EQ(std::string(S), "73");
1419   S.clear();
1420 
1421   isSigned = true;
1422   APInt(8, 255, isSigned).toString(S, 2, isSigned, true);
1423   EXPECT_EQ(std::string(S), "-0b1");
1424   S.clear();
1425   APInt(8, 255, isSigned).toString(S, 8, isSigned, true);
1426   EXPECT_EQ(std::string(S), "-01");
1427   S.clear();
1428   APInt(8, 255, isSigned).toString(S, 10, isSigned, true);
1429   EXPECT_EQ(std::string(S), "-1");
1430   S.clear();
1431   APInt(8, 255, isSigned).toString(S, 16, isSigned, true);
1432   EXPECT_EQ(std::string(S), "-0x1");
1433   S.clear();
1434   APInt(8, 255, isSigned).toString(S, 36, isSigned, false);
1435   EXPECT_EQ(std::string(S), "-1");
1436   S.clear();
1437 
1438   // negative with separators
1439   APInt(64, -140, isSigned).toString(S, 2, isSigned, true, false, true);
1440   EXPECT_EQ(std::string(S), "-0b1000'1100");
1441   S.clear();
1442   APInt(64, -1024, isSigned).toString(S, 8, isSigned, true, false, true);
1443   EXPECT_EQ(std::string(S), "-02'000");
1444   S.clear();
1445   APInt(64, -1000000, isSigned).toString(S, 10, isSigned, true, false, true);
1446   EXPECT_EQ(std::string(S), "-1'000'000");
1447   S.clear();
1448   APInt(64, -1000000, isSigned).toString(S, 16, isSigned, true, true, true);
1449   EXPECT_EQ(std::string(S), "-0xF'4240");
1450   S.clear();
1451   APInt(64, -1'000'000'000, isSigned)
1452       .toString(S, 36, isSigned, false, false, true);
1453   EXPECT_EQ(std::string(S), "-gj'dgxs");
1454   S.clear();
1455 }
1456 
1457 TEST(APIntTest, Log2) {
1458   EXPECT_EQ(APInt(15, 7).logBase2(), 2U);
1459   EXPECT_EQ(APInt(15, 7).ceilLogBase2(), 3U);
1460   EXPECT_EQ(APInt(15, 7).exactLogBase2(), -1);
1461   EXPECT_EQ(APInt(15, 8).logBase2(), 3U);
1462   EXPECT_EQ(APInt(15, 8).ceilLogBase2(), 3U);
1463   EXPECT_EQ(APInt(15, 8).exactLogBase2(), 3);
1464   EXPECT_EQ(APInt(15, 9).logBase2(), 3U);
1465   EXPECT_EQ(APInt(15, 9).ceilLogBase2(), 4U);
1466   EXPECT_EQ(APInt(15, 9).exactLogBase2(), -1);
1467 }
1468 
1469 #ifdef GTEST_HAS_DEATH_TEST
1470 #ifndef NDEBUG
1471 TEST(APIntTest, StringDeath) {
1472   EXPECT_DEATH((void)APInt(32, "", 0), "Invalid string length");
1473   EXPECT_DEATH((void)APInt(32, "0", 0), "Radix should be 2, 8, 10, 16, or 36!");
1474   EXPECT_DEATH((void)APInt(32, "", 10), "Invalid string length");
1475   EXPECT_DEATH((void)APInt(32, "-", 10), "String is only a sign, needs a value.");
1476   EXPECT_DEATH((void)APInt(1, "1234", 10), "Insufficient bit width");
1477   EXPECT_DEATH((void)APInt(32, "\0", 10), "Invalid string length");
1478   EXPECT_DEATH((void)APInt(32, StringRef("1\02", 3), 10), "Invalid character in digit string");
1479   EXPECT_DEATH((void)APInt(32, "1L", 10), "Invalid character in digit string");
1480 }
1481 #endif
1482 #endif
1483 
1484 TEST(APIntTest, mul_clear) {
1485   APInt ValA(65, -1ULL);
1486   APInt ValB(65, 4);
1487   APInt ValC(65, 0);
1488   ValC = ValA * ValB;
1489   ValA *= ValB;
1490   SmallString<16> StrA, StrC;
1491   ValA.toString(StrA, 10, false);
1492   ValC.toString(StrC, 10, false);
1493   EXPECT_EQ(std::string(StrA), std::string(StrC));
1494 }
1495 
1496 TEST(APIntTest, Rotate) {
1497   EXPECT_EQ(APInt(8, 1),  APInt(8, 1).rotl(0));
1498   EXPECT_EQ(APInt(8, 2),  APInt(8, 1).rotl(1));
1499   EXPECT_EQ(APInt(8, 4),  APInt(8, 1).rotl(2));
1500   EXPECT_EQ(APInt(8, 16), APInt(8, 1).rotl(4));
1501   EXPECT_EQ(APInt(8, 1),  APInt(8, 1).rotl(8));
1502 
1503   EXPECT_EQ(APInt(8, 16), APInt(8, 16).rotl(0));
1504   EXPECT_EQ(APInt(8, 32), APInt(8, 16).rotl(1));
1505   EXPECT_EQ(APInt(8, 64), APInt(8, 16).rotl(2));
1506   EXPECT_EQ(APInt(8, 1),  APInt(8, 16).rotl(4));
1507   EXPECT_EQ(APInt(8, 16), APInt(8, 16).rotl(8));
1508 
1509   EXPECT_EQ(APInt(32, 2), APInt(32, 1).rotl(33));
1510   EXPECT_EQ(APInt(32, 2), APInt(32, 1).rotl(APInt(32, 33)));
1511 
1512   EXPECT_EQ(APInt(32, 2), APInt(32, 1).rotl(33));
1513   EXPECT_EQ(APInt(32, 2), APInt(32, 1).rotl(APInt(32, 33)));
1514   EXPECT_EQ(APInt(32, 2), APInt(32, 1).rotl(APInt(33, 33)));
1515   EXPECT_EQ(APInt(32, (1 << 8)), APInt(32, 1).rotl(APInt(32, 40)));
1516   EXPECT_EQ(APInt(32, (1 << 30)), APInt(32, 1).rotl(APInt(31, 30)));
1517   EXPECT_EQ(APInt(32, (1 << 31)), APInt(32, 1).rotl(APInt(31, 31)));
1518 
1519   EXPECT_EQ(APInt(32, 1), APInt(32, 1).rotl(APInt(1, 0)));
1520   EXPECT_EQ(APInt(32, 2), APInt(32, 1).rotl(APInt(1, 1)));
1521 
1522   EXPECT_EQ(APInt(32, 16), APInt(32, 1).rotl(APInt(3, 4)));
1523 
1524   EXPECT_EQ(APInt(32, 1), APInt(32, 1).rotl(APInt(64, 64)));
1525   EXPECT_EQ(APInt(32, 2), APInt(32, 1).rotl(APInt(64, 65)));
1526 
1527   EXPECT_EQ(APInt(7, 24), APInt(7, 3).rotl(APInt(7, 3)));
1528   EXPECT_EQ(APInt(7, 24), APInt(7, 3).rotl(APInt(7, 10)));
1529   EXPECT_EQ(APInt(7, 24), APInt(7, 3).rotl(APInt(5, 10)));
1530   EXPECT_EQ(APInt(7, 6), APInt(7, 3).rotl(APInt(12, 120)));
1531 
1532   EXPECT_EQ(APInt(8, 16), APInt(8, 16).rotr(0));
1533   EXPECT_EQ(APInt(8, 8),  APInt(8, 16).rotr(1));
1534   EXPECT_EQ(APInt(8, 4),  APInt(8, 16).rotr(2));
1535   EXPECT_EQ(APInt(8, 1),  APInt(8, 16).rotr(4));
1536   EXPECT_EQ(APInt(8, 16), APInt(8, 16).rotr(8));
1537 
1538   EXPECT_EQ(APInt(8, 1),   APInt(8, 1).rotr(0));
1539   EXPECT_EQ(APInt(8, 128), APInt(8, 1).rotr(1));
1540   EXPECT_EQ(APInt(8, 64),  APInt(8, 1).rotr(2));
1541   EXPECT_EQ(APInt(8, 16),  APInt(8, 1).rotr(4));
1542   EXPECT_EQ(APInt(8, 1),   APInt(8, 1).rotr(8));
1543 
1544   EXPECT_EQ(APInt(32, (1 << 31)), APInt(32, 1).rotr(33));
1545   EXPECT_EQ(APInt(32, (1 << 31)), APInt(32, 1).rotr(APInt(32, 33)));
1546 
1547   EXPECT_EQ(APInt(32, (1 << 31)), APInt(32, 1).rotr(33));
1548   EXPECT_EQ(APInt(32, (1 << 31)), APInt(32, 1).rotr(APInt(32, 33)));
1549   EXPECT_EQ(APInt(32, (1 << 31)), APInt(32, 1).rotr(APInt(33, 33)));
1550   EXPECT_EQ(APInt(32, (1 << 24)), APInt(32, 1).rotr(APInt(32, 40)));
1551 
1552   EXPECT_EQ(APInt(32, (1 << 2)), APInt(32, 1).rotr(APInt(31, 30)));
1553   EXPECT_EQ(APInt(32, (1 << 1)), APInt(32, 1).rotr(APInt(31, 31)));
1554 
1555   EXPECT_EQ(APInt(32, 1), APInt(32, 1).rotr(APInt(1, 0)));
1556   EXPECT_EQ(APInt(32, (1 << 31)), APInt(32, 1).rotr(APInt(1, 1)));
1557 
1558   EXPECT_EQ(APInt(32, (1 << 28)), APInt(32, 1).rotr(APInt(3, 4)));
1559 
1560   EXPECT_EQ(APInt(32, 1), APInt(32, 1).rotr(APInt(64, 64)));
1561   EXPECT_EQ(APInt(32, (1 << 31)), APInt(32, 1).rotr(APInt(64, 65)));
1562 
1563   EXPECT_EQ(APInt(7, 48), APInt(7, 3).rotr(APInt(7, 3)));
1564   EXPECT_EQ(APInt(7, 48), APInt(7, 3).rotr(APInt(7, 10)));
1565   EXPECT_EQ(APInt(7, 48), APInt(7, 3).rotr(APInt(5, 10)));
1566   EXPECT_EQ(APInt(7, 65), APInt(7, 3).rotr(APInt(12, 120)));
1567 
1568   APInt Big(256, "00004000800000000000000000003fff8000000000000003", 16);
1569   APInt Rot(256, "3fff80000000000000030000000000000000000040008000", 16);
1570   EXPECT_EQ(Rot, Big.rotr(144));
1571 
1572   EXPECT_EQ(APInt(32, 8), APInt(32, 1).rotl(Big));
1573   EXPECT_EQ(APInt(32, (1 << 29)), APInt(32, 1).rotr(Big));
1574 }
1575 
1576 TEST(APIntTest, Splat) {
1577   APInt ValA(8, 0x01);
1578   EXPECT_EQ(ValA, APInt::getSplat(8, ValA));
1579   EXPECT_EQ(APInt(64, 0x0101010101010101ULL), APInt::getSplat(64, ValA));
1580 
1581   APInt ValB(3, 5);
1582   EXPECT_EQ(APInt(4, 0xD), APInt::getSplat(4, ValB));
1583   EXPECT_EQ(APInt(15, 0xDB6D), APInt::getSplat(15, ValB));
1584 }
1585 
1586 TEST(APIntTest, tcDecrement) {
1587   // Test single word decrement.
1588 
1589   // No out borrow.
1590   {
1591     APInt::WordType singleWord = ~APInt::WordType(0) << (APInt::APINT_BITS_PER_WORD - 1);
1592     APInt::WordType carry = APInt::tcDecrement(&singleWord, 1);
1593     EXPECT_EQ(carry, APInt::WordType(0));
1594     EXPECT_EQ(singleWord, ~APInt::WordType(0) >> 1);
1595   }
1596 
1597   // With out borrow.
1598   {
1599     APInt::WordType singleWord = 0;
1600     APInt::WordType carry = APInt::tcDecrement(&singleWord, 1);
1601     EXPECT_EQ(carry, APInt::WordType(1));
1602     EXPECT_EQ(singleWord, ~APInt::WordType(0));
1603   }
1604 
1605   // Test multiword decrement.
1606 
1607   // No across word borrow, no out borrow.
1608   {
1609     APInt::WordType test[4] = {0x1, 0x1, 0x1, 0x1};
1610     APInt::WordType expected[4] = {0x0, 0x1, 0x1, 0x1};
1611     APInt::tcDecrement(test, 4);
1612     EXPECT_EQ(APInt::tcCompare(test, expected, 4), 0);
1613   }
1614 
1615   // 1 across word borrow, no out borrow.
1616   {
1617     APInt::WordType test[4] = {0x0, 0xF, 0x1, 0x1};
1618     APInt::WordType expected[4] = {~APInt::WordType(0), 0xE, 0x1, 0x1};
1619     APInt::WordType carry = APInt::tcDecrement(test, 4);
1620     EXPECT_EQ(carry, APInt::WordType(0));
1621     EXPECT_EQ(APInt::tcCompare(test, expected, 4), 0);
1622   }
1623 
1624   // 2 across word borrow, no out borrow.
1625   {
1626     APInt::WordType test[4] = {0x0, 0x0, 0xC, 0x1};
1627     APInt::WordType expected[4] = {~APInt::WordType(0), ~APInt::WordType(0), 0xB, 0x1};
1628     APInt::WordType carry = APInt::tcDecrement(test, 4);
1629     EXPECT_EQ(carry, APInt::WordType(0));
1630     EXPECT_EQ(APInt::tcCompare(test, expected, 4), 0);
1631   }
1632 
1633   // 3 across word borrow, no out borrow.
1634   {
1635     APInt::WordType test[4] = {0x0, 0x0, 0x0, 0x1};
1636     APInt::WordType expected[4] = {~APInt::WordType(0), ~APInt::WordType(0), ~APInt::WordType(0), 0x0};
1637     APInt::WordType carry = APInt::tcDecrement(test, 4);
1638     EXPECT_EQ(carry, APInt::WordType(0));
1639     EXPECT_EQ(APInt::tcCompare(test, expected, 4), 0);
1640   }
1641 
1642   // 3 across word borrow, with out borrow.
1643   {
1644     APInt::WordType test[4] = {0x0, 0x0, 0x0, 0x0};
1645     APInt::WordType expected[4] = {~APInt::WordType(0), ~APInt::WordType(0), ~APInt::WordType(0), ~APInt::WordType(0)};
1646     APInt::WordType carry = APInt::tcDecrement(test, 4);
1647     EXPECT_EQ(carry, APInt::WordType(1));
1648     EXPECT_EQ(APInt::tcCompare(test, expected, 4), 0);
1649   }
1650 }
1651 
1652 TEST(APIntTest, arrayAccess) {
1653   // Single word check.
1654   uint64_t E1 = 0x2CA7F46BF6569915ULL;
1655   APInt A1(64, E1);
1656   for (unsigned i = 0, e = 64; i < e; ++i) {
1657     EXPECT_EQ(bool(E1 & (1ULL << i)),
1658               A1[i]);
1659   }
1660 
1661   // Multiword check.
1662   APInt::WordType E2[4] = {
1663     0xEB6EB136591CBA21ULL,
1664     0x7B9358BD6A33F10AULL,
1665     0x7E7FFA5EADD8846ULL,
1666     0x305F341CA00B613DULL
1667   };
1668   APInt A2(APInt::APINT_BITS_PER_WORD*4, E2);
1669   for (unsigned i = 0; i < 4; ++i) {
1670     for (unsigned j = 0; j < APInt::APINT_BITS_PER_WORD; ++j) {
1671       EXPECT_EQ(bool(E2[i] & (1ULL << j)),
1672                 A2[i*APInt::APINT_BITS_PER_WORD + j]);
1673     }
1674   }
1675 }
1676 
1677 TEST(APIntTest, LargeAPIntConstruction) {
1678   // Check that we can properly construct very large APInt. It is very
1679   // unlikely that people will ever do this, but it is a legal input,
1680   // so we should not crash on it.
1681   APInt A9(UINT32_MAX, 0);
1682   EXPECT_FALSE(A9.getBoolValue());
1683 }
1684 
1685 TEST(APIntTest, nearestLogBase2) {
1686   // Single word check.
1687 
1688   // Test round up.
1689   uint64_t I1 = 0x1800001;
1690   APInt A1(64, I1);
1691   EXPECT_EQ(A1.nearestLogBase2(), A1.ceilLogBase2());
1692 
1693   // Test round down.
1694   uint64_t I2 = 0x1000011;
1695   APInt A2(64, I2);
1696   EXPECT_EQ(A2.nearestLogBase2(), A2.logBase2());
1697 
1698   // Test ties round up.
1699   uint64_t I3 = 0x1800000;
1700   APInt A3(64, I3);
1701   EXPECT_EQ(A3.nearestLogBase2(), A3.ceilLogBase2());
1702 
1703   // Multiple word check.
1704 
1705   // Test round up.
1706   APInt::WordType I4[4] = {0x0, 0xF, 0x18, 0x0};
1707   APInt A4(APInt::APINT_BITS_PER_WORD*4, I4);
1708   EXPECT_EQ(A4.nearestLogBase2(), A4.ceilLogBase2());
1709 
1710   // Test round down.
1711   APInt::WordType I5[4] = {0x0, 0xF, 0x10, 0x0};
1712   APInt A5(APInt::APINT_BITS_PER_WORD*4, I5);
1713   EXPECT_EQ(A5.nearestLogBase2(), A5.logBase2());
1714 
1715   // Test ties round up.
1716   uint64_t I6[4] = {0x0, 0x0, 0x0, 0x18};
1717   APInt A6(APInt::APINT_BITS_PER_WORD*4, I6);
1718   EXPECT_EQ(A6.nearestLogBase2(), A6.ceilLogBase2());
1719 
1720   // Test BitWidth == 1 special cases.
1721   APInt A7(1, 1);
1722   EXPECT_EQ(A7.nearestLogBase2(), 0ULL);
1723   APInt A8(1, 0);
1724   EXPECT_EQ(A8.nearestLogBase2(), UINT32_MAX);
1725 
1726   // Test the zero case when we have a bit width large enough such
1727   // that the bit width is larger than UINT32_MAX-1.
1728   APInt A9(UINT32_MAX, 0);
1729   EXPECT_EQ(A9.nearestLogBase2(), UINT32_MAX);
1730 }
1731 
1732 TEST(APIntTest, IsSplat) {
1733   APInt A(32, 0x01010101);
1734   EXPECT_FALSE(A.isSplat(1));
1735   EXPECT_FALSE(A.isSplat(2));
1736   EXPECT_FALSE(A.isSplat(4));
1737   EXPECT_TRUE(A.isSplat(8));
1738   EXPECT_TRUE(A.isSplat(16));
1739   EXPECT_TRUE(A.isSplat(32));
1740 
1741   APInt B(24, 0xAAAAAA);
1742   EXPECT_FALSE(B.isSplat(1));
1743   EXPECT_TRUE(B.isSplat(2));
1744   EXPECT_TRUE(B.isSplat(4));
1745   EXPECT_TRUE(B.isSplat(8));
1746   EXPECT_TRUE(B.isSplat(24));
1747 
1748   APInt C(24, 0xABAAAB);
1749   EXPECT_FALSE(C.isSplat(1));
1750   EXPECT_FALSE(C.isSplat(2));
1751   EXPECT_FALSE(C.isSplat(4));
1752   EXPECT_FALSE(C.isSplat(8));
1753   EXPECT_TRUE(C.isSplat(24));
1754 
1755   APInt D(32, 0xABBAABBA);
1756   EXPECT_FALSE(D.isSplat(1));
1757   EXPECT_FALSE(D.isSplat(2));
1758   EXPECT_FALSE(D.isSplat(4));
1759   EXPECT_FALSE(D.isSplat(8));
1760   EXPECT_TRUE(D.isSplat(16));
1761   EXPECT_TRUE(D.isSplat(32));
1762 
1763   APInt E(32, 0);
1764   EXPECT_TRUE(E.isSplat(1));
1765   EXPECT_TRUE(E.isSplat(2));
1766   EXPECT_TRUE(E.isSplat(4));
1767   EXPECT_TRUE(E.isSplat(8));
1768   EXPECT_TRUE(E.isSplat(16));
1769   EXPECT_TRUE(E.isSplat(32));
1770 }
1771 
1772 TEST(APIntTest, isMask) {
1773   EXPECT_FALSE(APInt(32, 0x01010101).isMask());
1774   EXPECT_FALSE(APInt(32, 0xf0000000).isMask());
1775   EXPECT_FALSE(APInt(32, 0xffff0000).isMask());
1776   EXPECT_FALSE(APInt(32, 0xff << 1).isMask());
1777 
1778   for (int N : { 1, 2, 3, 4, 7, 8, 16, 32, 64, 127, 128, 129, 256 }) {
1779     EXPECT_FALSE(APInt(N, 0).isMask());
1780 
1781     APInt One(N, 1);
1782     for (int I = 1; I <= N; ++I) {
1783       APInt MaskVal = One.shl(I) - 1;
1784       EXPECT_TRUE(MaskVal.isMask());
1785       EXPECT_TRUE(MaskVal.isMask(I));
1786     }
1787   }
1788 }
1789 
1790 TEST(APIntTest, isShiftedMask) {
1791   EXPECT_FALSE(APInt(32, 0x01010101).isShiftedMask());
1792   EXPECT_TRUE(APInt(32, 0xf0000000).isShiftedMask());
1793   EXPECT_TRUE(APInt(32, 0xffff0000).isShiftedMask());
1794   EXPECT_TRUE(APInt(32, 0xff << 1).isShiftedMask());
1795 
1796   unsigned MaskIdx, MaskLen;
1797   EXPECT_FALSE(APInt(32, 0x01010101).isShiftedMask(MaskIdx, MaskLen));
1798   EXPECT_TRUE(APInt(32, 0xf0000000).isShiftedMask(MaskIdx, MaskLen));
1799   EXPECT_EQ(28, (int)MaskIdx);
1800   EXPECT_EQ(4, (int)MaskLen);
1801   EXPECT_TRUE(APInt(32, 0xffff0000).isShiftedMask(MaskIdx, MaskLen));
1802   EXPECT_EQ(16, (int)MaskIdx);
1803   EXPECT_EQ(16, (int)MaskLen);
1804   EXPECT_TRUE(APInt(32, 0xff << 1).isShiftedMask(MaskIdx, MaskLen));
1805   EXPECT_EQ(1, (int)MaskIdx);
1806   EXPECT_EQ(8, (int)MaskLen);
1807 
1808   for (int N : { 1, 2, 3, 4, 7, 8, 16, 32, 64, 127, 128, 129, 256 }) {
1809     EXPECT_FALSE(APInt(N, 0).isShiftedMask());
1810     EXPECT_FALSE(APInt(N, 0).isShiftedMask(MaskIdx, MaskLen));
1811 
1812     APInt One(N, 1);
1813     for (int I = 1; I < N; ++I) {
1814       APInt MaskVal = One.shl(I) - 1;
1815       EXPECT_TRUE(MaskVal.isShiftedMask());
1816       EXPECT_TRUE(MaskVal.isShiftedMask(MaskIdx, MaskLen));
1817       EXPECT_EQ(0, (int)MaskIdx);
1818       EXPECT_EQ(I, (int)MaskLen);
1819     }
1820     for (int I = 1; I < N - 1; ++I) {
1821       APInt MaskVal = One.shl(I);
1822       EXPECT_TRUE(MaskVal.isShiftedMask());
1823       EXPECT_TRUE(MaskVal.isShiftedMask(MaskIdx, MaskLen));
1824       EXPECT_EQ(I, (int)MaskIdx);
1825       EXPECT_EQ(1, (int)MaskLen);
1826     }
1827     for (int I = 1; I < N; ++I) {
1828       APInt MaskVal = APInt::getHighBitsSet(N, I);
1829       EXPECT_TRUE(MaskVal.isShiftedMask());
1830       EXPECT_TRUE(MaskVal.isShiftedMask(MaskIdx, MaskLen));
1831       EXPECT_EQ(N - I, (int)MaskIdx);
1832       EXPECT_EQ(I, (int)MaskLen);
1833     }
1834   }
1835 }
1836 
1837 TEST(APIntTest, isOneBitSet) {
1838   EXPECT_FALSE(APInt(5, 0x00).isOneBitSet(0));
1839   EXPECT_FALSE(APInt(5, 0x02).isOneBitSet(0));
1840   EXPECT_FALSE(APInt(5, 0x03).isOneBitSet(0));
1841   EXPECT_TRUE(APInt(5, 0x02).isOneBitSet(1));
1842   EXPECT_TRUE(APInt(32, (unsigned)(0xffu << 31)).isOneBitSet(31));
1843 
1844   EXPECT_TRUE(APInt::getOneBitSet(255, 13).isOneBitSet(13));
1845 }
1846 
1847 TEST(APIntTest, isPowerOf2) {
1848   EXPECT_FALSE(APInt(5, 0x00).isPowerOf2());
1849   EXPECT_FALSE(APInt(32, 0x11).isPowerOf2());
1850   EXPECT_TRUE(APInt(17, 0x01).isPowerOf2());
1851   EXPECT_TRUE(APInt(32, (unsigned)(0xffu << 31)).isPowerOf2());
1852 
1853   for (int N : {1, 2, 3, 4, 7, 8, 16, 32, 64, 127, 128, 129, 256}) {
1854     EXPECT_FALSE(APInt(N, 0).isPowerOf2());
1855     EXPECT_TRUE(APInt::getSignedMinValue(N).isPowerOf2());
1856 
1857     APInt One(N, 1);
1858     for (int I = 1; I < N - 1; ++I) {
1859       EXPECT_TRUE(APInt::getOneBitSet(N, I).isPowerOf2());
1860 
1861       APInt MaskVal = One.shl(I);
1862       EXPECT_TRUE(MaskVal.isPowerOf2());
1863     }
1864   }
1865 }
1866 
1867 TEST(APIntTest, isNegatedPowerOf2) {
1868   EXPECT_FALSE(APInt(5, 0x00).isNegatedPowerOf2());
1869   EXPECT_TRUE(APInt(15, 0x7ffe).isNegatedPowerOf2());
1870   EXPECT_TRUE(APInt(16, 0xfffc).isNegatedPowerOf2());
1871   EXPECT_TRUE(APInt(32, 0xffffffff).isNegatedPowerOf2());
1872 
1873   for (int N : {1, 2, 3, 4, 7, 8, 16, 32, 64, 127, 128, 129, 256}) {
1874     EXPECT_FALSE(APInt(N, 0).isNegatedPowerOf2());
1875     EXPECT_TRUE(APInt::getAllOnes(N).isNegatedPowerOf2());
1876     EXPECT_TRUE(APInt::getSignedMinValue(N).isNegatedPowerOf2());
1877     EXPECT_TRUE((-APInt::getSignedMinValue(N)).isNegatedPowerOf2());
1878 
1879     APInt One(N, 1);
1880     for (int I = 1; I < N - 1; ++I) {
1881       EXPECT_FALSE(APInt::getOneBitSet(N, I).isNegatedPowerOf2());
1882       EXPECT_TRUE((-APInt::getOneBitSet(N, I)).isNegatedPowerOf2());
1883 
1884       APInt MaskVal = One.shl(I);
1885       EXPECT_TRUE((-MaskVal).isNegatedPowerOf2());
1886 
1887       APInt ShiftMaskVal = One.getHighBitsSet(N, I);
1888       EXPECT_TRUE(ShiftMaskVal.isNegatedPowerOf2());
1889     }
1890   }
1891 }
1892 
1893 TEST(APIntTest, isAligned) {
1894   struct {
1895     uint64_t alignment;
1896     uint64_t offset;
1897     bool isAligned;
1898   } Tests[] = {
1899       {1, 0, true},  {1, 1, true},  {1, 5, true},  {2, 0, true},
1900       {2, 1, false}, {2, 2, true},  {2, 7, false}, {2, 16, true},
1901       {4, 0, true},  {4, 1, false}, {4, 4, true},  {4, 6, false},
1902   };
1903   for (const auto &T : Tests)
1904     EXPECT_EQ(APInt(32, T.offset).isAligned(Align(T.alignment)), T.isAligned);
1905   // Tests for APInt that can't represent the alignment.
1906   // Here APInt(4, I) can represent values from 0 to 15.
1907   EXPECT_TRUE(APInt(4, 0).isAligned(Align(32))); // zero is always aligned.
1908   for (int I = 1; I < 16; ++I)
1909     EXPECT_FALSE(APInt(4, I).isAligned(Align(32)));
1910 }
1911 
1912 // Test that self-move works with EXPENSIVE_CHECKS. It calls std::shuffle which
1913 // does self-move on some platforms.
1914 #ifdef EXPENSIVE_CHECKS
1915 #if defined(__clang__)
1916 // Disable the pragma warning from versions of Clang without -Wself-move
1917 #pragma clang diagnostic push
1918 #pragma clang diagnostic ignored "-Wunknown-pragmas"
1919 // Disable the warning that triggers on exactly what is being tested.
1920 #pragma clang diagnostic push
1921 #pragma clang diagnostic ignored "-Wself-move"
1922 #endif
1923 TEST(APIntTest, SelfMoveAssignment) {
1924   APInt X(32, 0xdeadbeef);
1925   X = std::move(X);
1926   EXPECT_EQ(32u, X.getBitWidth());
1927   EXPECT_EQ(0xdeadbeefULL, X.getLimitedValue());
1928 
1929   uint64_t Bits[] = {0xdeadbeefdeadbeefULL, 0xdeadbeefdeadbeefULL};
1930   APInt Y(128, Bits);
1931   Y = std::move(Y);
1932   EXPECT_EQ(128u, Y.getBitWidth());
1933   EXPECT_EQ(~0ULL, Y.getLimitedValue());
1934   const uint64_t *Raw = Y.getRawData();
1935   EXPECT_EQ(2u, Y.getNumWords());
1936   EXPECT_EQ(0xdeadbeefdeadbeefULL, Raw[0]);
1937   EXPECT_EQ(0xdeadbeefdeadbeefULL, Raw[1]);
1938 }
1939 #if defined(__clang__)
1940 #pragma clang diagnostic pop
1941 #pragma clang diagnostic pop
1942 #endif
1943 #endif // EXPENSIVE_CHECKS
1944 
1945 TEST(APIntTest, byteSwap) {
1946   EXPECT_EQ(0x00000000, APInt(16, 0x0000).byteSwap());
1947   EXPECT_EQ(0x0000010f, APInt(16, 0x0f01).byteSwap());
1948   EXPECT_EQ(0x00ff8000, APInt(24, 0x0080ff).byteSwap());
1949   EXPECT_EQ(0x117700ff, APInt(32, 0xff007711).byteSwap());
1950   EXPECT_EQ(0x228811aaffULL, APInt(40, 0xffaa118822ULL).byteSwap());
1951   EXPECT_EQ(0x050403020100ULL, APInt(48, 0x000102030405ULL).byteSwap());
1952   EXPECT_EQ(0xff050403020100ULL, APInt(56, 0x000102030405ffULL).byteSwap());
1953   EXPECT_EQ(0xff050403020100aaULL, APInt(64, 0xaa000102030405ffULL).byteSwap());
1954 
1955   for (unsigned N : {16, 24, 32, 48, 56, 64, 72, 80, 96, 112, 128, 248, 256,
1956                      1024, 1032, 1040}) {
1957     for (unsigned I = 0; I < N; I += 8) {
1958       APInt X = APInt::getBitsSet(N, I, I + 8);
1959       APInt Y = APInt::getBitsSet(N, N - I - 8, N - I);
1960       EXPECT_EQ(Y, X.byteSwap());
1961       EXPECT_EQ(X, Y.byteSwap());
1962     }
1963   }
1964 }
1965 
1966 TEST(APIntTest, reverseBits) {
1967   EXPECT_EQ(1, APInt(1, 1).reverseBits());
1968   EXPECT_EQ(0, APInt(1, 0).reverseBits());
1969 
1970   EXPECT_EQ(3, APInt(2, 3).reverseBits());
1971   EXPECT_EQ(3, APInt(2, 3).reverseBits());
1972 
1973   EXPECT_EQ(0xb, APInt(4, 0xd).reverseBits());
1974   EXPECT_EQ(0xd, APInt(4, 0xb).reverseBits());
1975   EXPECT_EQ(0xf, APInt(4, 0xf).reverseBits());
1976 
1977   EXPECT_EQ(0x30, APInt(7, 0x6).reverseBits());
1978   EXPECT_EQ(0x5a, APInt(7, 0x2d).reverseBits());
1979 
1980   EXPECT_EQ(0x0f, APInt(8, 0xf0).reverseBits());
1981   EXPECT_EQ(0xf0, APInt(8, 0x0f).reverseBits());
1982 
1983   EXPECT_EQ(0x0f0f, APInt(16, 0xf0f0).reverseBits());
1984   EXPECT_EQ(0xf0f0, APInt(16, 0x0f0f).reverseBits());
1985 
1986   EXPECT_EQ(0x0f0f0f0f, APInt(32, 0xf0f0f0f0).reverseBits());
1987   EXPECT_EQ(0xf0f0f0f0, APInt(32, 0x0f0f0f0f).reverseBits());
1988 
1989   EXPECT_EQ(0x402880a0 >> 1, APInt(31, 0x05011402).reverseBits());
1990 
1991   EXPECT_EQ(0x0f0f0f0f, APInt(32, 0xf0f0f0f0).reverseBits());
1992   EXPECT_EQ(0xf0f0f0f0, APInt(32, 0x0f0f0f0f).reverseBits());
1993 
1994   EXPECT_EQ(0x0f0f0f0f0f0f0f0f, APInt(64, 0xf0f0f0f0f0f0f0f0).reverseBits());
1995   EXPECT_EQ(0xf0f0f0f0f0f0f0f0, APInt(64, 0x0f0f0f0f0f0f0f0f).reverseBits());
1996 
1997   for (unsigned N : { 1, 8, 16, 24, 31, 32, 33,
1998                       63, 64, 65, 127, 128, 257, 1024 }) {
1999     for (unsigned I = 0; I < N; ++I) {
2000       APInt X = APInt::getOneBitSet(N, I);
2001       APInt Y = APInt::getOneBitSet(N, N - (I + 1));
2002       EXPECT_EQ(Y, X.reverseBits());
2003       EXPECT_EQ(X, Y.reverseBits());
2004     }
2005   }
2006 }
2007 
2008 TEST(APIntTest, insertBits) {
2009   APInt iSrc(31, 0x00123456);
2010 
2011   // Direct copy.
2012   APInt i31(31, 0x76543210ull);
2013   i31.insertBits(iSrc, 0);
2014   EXPECT_EQ(static_cast<int64_t>(0x00123456ull), i31.getSExtValue());
2015 
2016   // Single word src/dst insertion.
2017   APInt i63(63, 0x01234567FFFFFFFFull);
2018   i63.insertBits(iSrc, 4);
2019   EXPECT_EQ(static_cast<int64_t>(0x012345600123456Full), i63.getSExtValue());
2020 
2021   // Zero width insert is a noop.
2022   i31.insertBits(APInt::getZeroWidth(), 1);
2023   EXPECT_EQ(static_cast<int64_t>(0x00123456ull), i31.getSExtValue());
2024 
2025   // Insert single word src into one word of dst.
2026   APInt i120(120, UINT64_MAX, true);
2027   i120.insertBits(iSrc, 8);
2028   EXPECT_EQ(static_cast<int64_t>(0xFFFFFF80123456FFull), i120.getSExtValue());
2029 
2030   // Insert single word src into two words of dst.
2031   APInt i127(127, UINT64_MAX, true);
2032   i127.insertBits(iSrc, 48);
2033   EXPECT_EQ(i127.extractBits(64, 0).getZExtValue(), 0x3456FFFFFFFFFFFFull);
2034   EXPECT_EQ(i127.extractBits(63, 64).getZExtValue(), 0x7FFFFFFFFFFF8012ull);
2035 
2036   // Insert on word boundaries.
2037   APInt i128(128, 0);
2038   i128.insertBits(APInt(64, UINT64_MAX, true), 0);
2039   i128.insertBits(APInt(64, UINT64_MAX, true), 64);
2040   EXPECT_EQ(-1, i128.getSExtValue());
2041 
2042   APInt i256(256, UINT64_MAX, true);
2043   i256.insertBits(APInt(65, 0), 0);
2044   i256.insertBits(APInt(69, 0), 64);
2045   i256.insertBits(APInt(128, 0), 128);
2046   EXPECT_EQ(0u, i256.getSExtValue());
2047 
2048   APInt i257(257, 0);
2049   i257.insertBits(APInt(96, UINT64_MAX, true), 64);
2050   EXPECT_EQ(i257.extractBits(64, 0).getZExtValue(), 0x0000000000000000ull);
2051   EXPECT_EQ(i257.extractBits(64, 64).getZExtValue(), 0xFFFFFFFFFFFFFFFFull);
2052   EXPECT_EQ(i257.extractBits(64, 128).getZExtValue(), 0x00000000FFFFFFFFull);
2053   EXPECT_EQ(i257.extractBits(65, 192).getZExtValue(), 0x0000000000000000ull);
2054 
2055   // General insertion.
2056   APInt i260(260, UINT64_MAX, true);
2057   i260.insertBits(APInt(129, 1ull << 48), 15);
2058   EXPECT_EQ(i260.extractBits(64, 0).getZExtValue(), 0x8000000000007FFFull);
2059   EXPECT_EQ(i260.extractBits(64, 64).getZExtValue(), 0x0000000000000000ull);
2060   EXPECT_EQ(i260.extractBits(64, 128).getZExtValue(), 0xFFFFFFFFFFFF0000ull);
2061   EXPECT_EQ(i260.extractBits(64, 192).getZExtValue(), 0xFFFFFFFFFFFFFFFFull);
2062   EXPECT_EQ(i260.extractBits(4, 256).getZExtValue(), 0x000000000000000Full);
2063 }
2064 
2065 TEST(APIntTest, insertBitsUInt64) {
2066   // Tests cloned from insertBits but adapted to the numBits <= 64 constraint
2067   uint64_t iSrc = 0x00123456;
2068 
2069   // Direct copy.
2070   APInt i31(31, 0x76543210ull);
2071   i31.insertBits(iSrc, 0, 31);
2072   EXPECT_EQ(static_cast<int64_t>(0x00123456ull), i31.getSExtValue());
2073 
2074   // Single word src/dst insertion.
2075   APInt i63(63, 0x01234567FFFFFFFFull);
2076   i63.insertBits(iSrc, 4, 31);
2077   EXPECT_EQ(static_cast<int64_t>(0x012345600123456Full), i63.getSExtValue());
2078 
2079   // Insert single word src into one word of dst.
2080   APInt i120(120, UINT64_MAX, true);
2081   i120.insertBits(iSrc, 8, 31);
2082   EXPECT_EQ(static_cast<int64_t>(0xFFFFFF80123456FFull), i120.getSExtValue());
2083 
2084   // Insert single word src into two words of dst.
2085   APInt i127(127, UINT64_MAX, true);
2086   i127.insertBits(iSrc, 48, 31);
2087   EXPECT_EQ(i127.extractBits(64, 0).getZExtValue(), 0x3456FFFFFFFFFFFFull);
2088   EXPECT_EQ(i127.extractBits(63, 64).getZExtValue(), 0x7FFFFFFFFFFF8012ull);
2089 
2090   // Insert on word boundaries.
2091   APInt i128(128, 0);
2092   i128.insertBits(UINT64_MAX, 0, 64);
2093   i128.insertBits(UINT64_MAX, 64, 64);
2094   EXPECT_EQ(-1, i128.getSExtValue());
2095 
2096   APInt i256(256, UINT64_MAX, true);
2097   i256.insertBits(0, 0, 64);
2098   i256.insertBits(0, 64, 1);
2099   i256.insertBits(0, 64, 64);
2100   i256.insertBits(0, 128, 5);
2101   i256.insertBits(0, 128, 64);
2102   i256.insertBits(0, 192, 64);
2103   EXPECT_EQ(0u, i256.getSExtValue());
2104 
2105   APInt i257(257, 0);
2106   i257.insertBits(APInt(96, UINT64_MAX, true), 64);
2107   EXPECT_EQ(i257.extractBitsAsZExtValue(64, 0), 0x0000000000000000ull);
2108   EXPECT_EQ(i257.extractBitsAsZExtValue(64, 64), 0xFFFFFFFFFFFFFFFFull);
2109   EXPECT_EQ(i257.extractBitsAsZExtValue(64, 128), 0x00000000FFFFFFFFull);
2110   EXPECT_EQ(i257.extractBitsAsZExtValue(64, 192), 0x0000000000000000ull);
2111   EXPECT_EQ(i257.extractBitsAsZExtValue(1, 256), 0x0000000000000000ull);
2112 
2113   // General insertion.
2114   APInt i260(260, UINT64_MAX, true);
2115   i260.insertBits(APInt(129, 1ull << 48), 15);
2116   EXPECT_EQ(i260.extractBitsAsZExtValue(64, 0), 0x8000000000007FFFull);
2117   EXPECT_EQ(i260.extractBitsAsZExtValue(64, 64), 0x0000000000000000ull);
2118   EXPECT_EQ(i260.extractBitsAsZExtValue(64, 128), 0xFFFFFFFFFFFF0000ull);
2119   EXPECT_EQ(i260.extractBitsAsZExtValue(64, 192), 0xFFFFFFFFFFFFFFFFull);
2120   EXPECT_EQ(i260.extractBitsAsZExtValue(4, 256), 0x000000000000000Full);
2121 }
2122 
2123 TEST(APIntTest, extractBits) {
2124   APInt i32(32, 0x1234567);
2125   EXPECT_EQ(0x3456, i32.extractBits(16, 4));
2126 
2127   APInt i64(64, 0x01234567FFFFFFFFull);
2128   EXPECT_EQ(0xFFFFFFFF, i64.extractBits(32, 0));
2129   EXPECT_EQ(0xFFFFFFFF, i64.trunc(32));
2130   EXPECT_EQ(0x01234567, i64.extractBits(32, 32));
2131   EXPECT_EQ(0x01234567, i64.lshr(32).trunc(32));
2132 
2133   APInt i257(257, 0xFFFFFFFFFF0000FFull, true);
2134   EXPECT_EQ(0xFFu, i257.extractBits(16, 0));
2135   EXPECT_EQ(0xFFu, i257.lshr(0).trunc(16));
2136   EXPECT_EQ((0xFFu >> 1), i257.extractBits(16, 1));
2137   EXPECT_EQ((0xFFu >> 1), i257.lshr(1).trunc(16));
2138   EXPECT_EQ(-1, i257.extractBits(32, 64).getSExtValue());
2139   EXPECT_EQ(-1, i257.lshr(64).trunc(32).getSExtValue());
2140   EXPECT_EQ(-1, i257.extractBits(128, 128).getSExtValue());
2141   EXPECT_EQ(-1, i257.lshr(128).trunc(128).getSExtValue());
2142   EXPECT_EQ(-1, i257.extractBits(66, 191).getSExtValue());
2143   EXPECT_EQ(-1, i257.lshr(191).trunc(66).getSExtValue());
2144   EXPECT_EQ(static_cast<int64_t>(0xFFFFFFFFFF80007Full),
2145             i257.extractBits(128, 1).getSExtValue());
2146   EXPECT_EQ(static_cast<int64_t>(0xFFFFFFFFFF80007Full),
2147             i257.lshr(1).trunc(128).getSExtValue());
2148   EXPECT_EQ(static_cast<int64_t>(0xFFFFFFFFFF80007Full),
2149             i257.extractBits(129, 1).getSExtValue());
2150   EXPECT_EQ(static_cast<int64_t>(0xFFFFFFFFFF80007Full),
2151             i257.lshr(1).trunc(129).getSExtValue());
2152 
2153   EXPECT_EQ(APInt(48, 0),
2154             APInt(144, "281474976710655", 10).extractBits(48, 48));
2155   EXPECT_EQ(APInt(48, 0),
2156             APInt(144, "281474976710655", 10).lshr(48).trunc(48));
2157   EXPECT_EQ(APInt(48, 0x0000ffffffffffffull),
2158             APInt(144, "281474976710655", 10).extractBits(48, 0));
2159   EXPECT_EQ(APInt(48, 0x0000ffffffffffffull),
2160             APInt(144, "281474976710655", 10).lshr(0).trunc(48));
2161   EXPECT_EQ(APInt(48, 0x00007fffffffffffull),
2162             APInt(144, "281474976710655", 10).extractBits(48, 1));
2163   EXPECT_EQ(APInt(48, 0x00007fffffffffffull),
2164             APInt(144, "281474976710655", 10).lshr(1).trunc(48));
2165 }
2166 
2167 TEST(APIntTest, extractBitsAsZExtValue) {
2168   // Tests based on extractBits
2169   APInt i32(32, 0x1234567);
2170   EXPECT_EQ(0x3456u, i32.extractBitsAsZExtValue(16, 4));
2171 
2172   APInt i257(257, 0xFFFFFFFFFF0000FFull, true);
2173   EXPECT_EQ(0xFFu, i257.extractBitsAsZExtValue(16, 0));
2174   EXPECT_EQ((0xFFu >> 1), i257.extractBitsAsZExtValue(16, 1));
2175   EXPECT_EQ(0xFFFFFFFFull, i257.extractBitsAsZExtValue(32, 64));
2176   EXPECT_EQ(0xFFFFFFFFFFFFFFFFull, i257.extractBitsAsZExtValue(64, 128));
2177   EXPECT_EQ(0xFFFFFFFFFFFFFFFFull, i257.extractBitsAsZExtValue(64, 192));
2178   EXPECT_EQ(0xFFFFFFFFFFFFFFFFull, i257.extractBitsAsZExtValue(64, 191));
2179   EXPECT_EQ(0x3u, i257.extractBitsAsZExtValue(2, 255));
2180   EXPECT_EQ(0xFFFFFFFFFF80007Full, i257.extractBitsAsZExtValue(64, 1));
2181   EXPECT_EQ(0xFFFFFFFFFFFFFFFFull, i257.extractBitsAsZExtValue(64, 65));
2182   EXPECT_EQ(0xFFFFFFFFFF80007Full, i257.extractBitsAsZExtValue(64, 1));
2183   EXPECT_EQ(0xFFFFFFFFFFFFFFFFull, i257.extractBitsAsZExtValue(64, 65));
2184   EXPECT_EQ(0x1ull, i257.extractBitsAsZExtValue(1, 129));
2185 
2186   EXPECT_EQ(APInt(48, 0),
2187             APInt(144, "281474976710655", 10).extractBitsAsZExtValue(48, 48));
2188   EXPECT_EQ(APInt(48, 0x0000ffffffffffffull),
2189             APInt(144, "281474976710655", 10).extractBitsAsZExtValue(48, 0));
2190   EXPECT_EQ(APInt(48, 0x00007fffffffffffull),
2191             APInt(144, "281474976710655", 10).extractBitsAsZExtValue(48, 1));
2192 }
2193 
2194 TEST(APIntTest, getLowBitsSet) {
2195   APInt i128lo64 = APInt::getLowBitsSet(128, 64);
2196   EXPECT_EQ(0u, i128lo64.countl_one());
2197   EXPECT_EQ(64u, i128lo64.countl_zero());
2198   EXPECT_EQ(64u, i128lo64.getActiveBits());
2199   EXPECT_EQ(0u, i128lo64.countr_zero());
2200   EXPECT_EQ(64u, i128lo64.countr_one());
2201   EXPECT_EQ(64u, i128lo64.popcount());
2202 }
2203 
2204 TEST(APIntTest, getBitsSet) {
2205   APInt i64hi1lo1 = APInt::getBitsSet(64, 1, 63);
2206   EXPECT_EQ(0u, i64hi1lo1.countl_one());
2207   EXPECT_EQ(1u, i64hi1lo1.countl_zero());
2208   EXPECT_EQ(63u, i64hi1lo1.getActiveBits());
2209   EXPECT_EQ(1u, i64hi1lo1.countr_zero());
2210   EXPECT_EQ(0u, i64hi1lo1.countr_one());
2211   EXPECT_EQ(62u, i64hi1lo1.popcount());
2212 
2213   APInt i127hi1lo1 = APInt::getBitsSet(127, 1, 126);
2214   EXPECT_EQ(0u, i127hi1lo1.countl_one());
2215   EXPECT_EQ(1u, i127hi1lo1.countl_zero());
2216   EXPECT_EQ(126u, i127hi1lo1.getActiveBits());
2217   EXPECT_EQ(1u, i127hi1lo1.countr_zero());
2218   EXPECT_EQ(0u, i127hi1lo1.countr_one());
2219   EXPECT_EQ(125u, i127hi1lo1.popcount());
2220 }
2221 
2222 TEST(APIntTest, getBitsSetWithWrap) {
2223   APInt i64hi1lo1 = APInt::getBitsSetWithWrap(64, 1, 63);
2224   EXPECT_EQ(0u, i64hi1lo1.countl_one());
2225   EXPECT_EQ(1u, i64hi1lo1.countl_zero());
2226   EXPECT_EQ(63u, i64hi1lo1.getActiveBits());
2227   EXPECT_EQ(1u, i64hi1lo1.countr_zero());
2228   EXPECT_EQ(0u, i64hi1lo1.countr_one());
2229   EXPECT_EQ(62u, i64hi1lo1.popcount());
2230 
2231   APInt i127hi1lo1 = APInt::getBitsSetWithWrap(127, 1, 126);
2232   EXPECT_EQ(0u, i127hi1lo1.countl_one());
2233   EXPECT_EQ(1u, i127hi1lo1.countl_zero());
2234   EXPECT_EQ(126u, i127hi1lo1.getActiveBits());
2235   EXPECT_EQ(1u, i127hi1lo1.countr_zero());
2236   EXPECT_EQ(0u, i127hi1lo1.countr_one());
2237   EXPECT_EQ(125u, i127hi1lo1.popcount());
2238 
2239   APInt i64hi1lo1wrap = APInt::getBitsSetWithWrap(64, 63, 1);
2240   EXPECT_EQ(1u, i64hi1lo1wrap.countl_one());
2241   EXPECT_EQ(0u, i64hi1lo1wrap.countl_zero());
2242   EXPECT_EQ(64u, i64hi1lo1wrap.getActiveBits());
2243   EXPECT_EQ(0u, i64hi1lo1wrap.countr_zero());
2244   EXPECT_EQ(1u, i64hi1lo1wrap.countr_one());
2245   EXPECT_EQ(2u, i64hi1lo1wrap.popcount());
2246 
2247   APInt i127hi1lo1wrap = APInt::getBitsSetWithWrap(127, 126, 1);
2248   EXPECT_EQ(1u, i127hi1lo1wrap.countl_one());
2249   EXPECT_EQ(0u, i127hi1lo1wrap.countl_zero());
2250   EXPECT_EQ(127u, i127hi1lo1wrap.getActiveBits());
2251   EXPECT_EQ(0u, i127hi1lo1wrap.countr_zero());
2252   EXPECT_EQ(1u, i127hi1lo1wrap.countr_one());
2253   EXPECT_EQ(2u, i127hi1lo1wrap.popcount());
2254 
2255   APInt i32hiequallowrap = APInt::getBitsSetWithWrap(32, 10, 10);
2256   EXPECT_EQ(32u, i32hiequallowrap.countl_one());
2257   EXPECT_EQ(0u, i32hiequallowrap.countl_zero());
2258   EXPECT_EQ(32u, i32hiequallowrap.getActiveBits());
2259   EXPECT_EQ(0u, i32hiequallowrap.countr_zero());
2260   EXPECT_EQ(32u, i32hiequallowrap.countr_one());
2261   EXPECT_EQ(32u, i32hiequallowrap.popcount());
2262 }
2263 
2264 TEST(APIntTest, getHighBitsSet) {
2265   APInt i64hi32 = APInt::getHighBitsSet(64, 32);
2266   EXPECT_EQ(32u, i64hi32.countl_one());
2267   EXPECT_EQ(0u, i64hi32.countl_zero());
2268   EXPECT_EQ(64u, i64hi32.getActiveBits());
2269   EXPECT_EQ(32u, i64hi32.countr_zero());
2270   EXPECT_EQ(0u, i64hi32.countr_one());
2271   EXPECT_EQ(32u, i64hi32.popcount());
2272 }
2273 
2274 TEST(APIntTest, getBitsSetFrom) {
2275   APInt i64hi31 = APInt::getBitsSetFrom(64, 33);
2276   EXPECT_EQ(31u, i64hi31.countl_one());
2277   EXPECT_EQ(0u, i64hi31.countl_zero());
2278   EXPECT_EQ(64u, i64hi31.getActiveBits());
2279   EXPECT_EQ(33u, i64hi31.countr_zero());
2280   EXPECT_EQ(0u, i64hi31.countr_one());
2281   EXPECT_EQ(31u, i64hi31.popcount());
2282 }
2283 
2284 TEST(APIntTest, setLowBits) {
2285   APInt i64lo32(64, 0);
2286   i64lo32.setLowBits(32);
2287   EXPECT_EQ(0u, i64lo32.countl_one());
2288   EXPECT_EQ(32u, i64lo32.countl_zero());
2289   EXPECT_EQ(32u, i64lo32.getActiveBits());
2290   EXPECT_EQ(0u, i64lo32.countr_zero());
2291   EXPECT_EQ(32u, i64lo32.countr_one());
2292   EXPECT_EQ(32u, i64lo32.popcount());
2293 
2294   APInt i128lo64(128, 0);
2295   i128lo64.setLowBits(64);
2296   EXPECT_EQ(0u, i128lo64.countl_one());
2297   EXPECT_EQ(64u, i128lo64.countl_zero());
2298   EXPECT_EQ(64u, i128lo64.getActiveBits());
2299   EXPECT_EQ(0u, i128lo64.countr_zero());
2300   EXPECT_EQ(64u, i128lo64.countr_one());
2301   EXPECT_EQ(64u, i128lo64.popcount());
2302 
2303   APInt i128lo24(128, 0);
2304   i128lo24.setLowBits(24);
2305   EXPECT_EQ(0u, i128lo24.countl_one());
2306   EXPECT_EQ(104u, i128lo24.countl_zero());
2307   EXPECT_EQ(24u, i128lo24.getActiveBits());
2308   EXPECT_EQ(0u, i128lo24.countr_zero());
2309   EXPECT_EQ(24u, i128lo24.countr_one());
2310   EXPECT_EQ(24u, i128lo24.popcount());
2311 
2312   APInt i128lo104(128, 0);
2313   i128lo104.setLowBits(104);
2314   EXPECT_EQ(0u, i128lo104.countl_one());
2315   EXPECT_EQ(24u, i128lo104.countl_zero());
2316   EXPECT_EQ(104u, i128lo104.getActiveBits());
2317   EXPECT_EQ(0u, i128lo104.countr_zero());
2318   EXPECT_EQ(104u, i128lo104.countr_one());
2319   EXPECT_EQ(104u, i128lo104.popcount());
2320 
2321   APInt i128lo0(128, 0);
2322   i128lo0.setLowBits(0);
2323   EXPECT_EQ(0u, i128lo0.countl_one());
2324   EXPECT_EQ(128u, i128lo0.countl_zero());
2325   EXPECT_EQ(0u, i128lo0.getActiveBits());
2326   EXPECT_EQ(128u, i128lo0.countr_zero());
2327   EXPECT_EQ(0u, i128lo0.countr_one());
2328   EXPECT_EQ(0u, i128lo0.popcount());
2329 
2330   APInt i80lo79(80, 0);
2331   i80lo79.setLowBits(79);
2332   EXPECT_EQ(0u, i80lo79.countl_one());
2333   EXPECT_EQ(1u, i80lo79.countl_zero());
2334   EXPECT_EQ(79u, i80lo79.getActiveBits());
2335   EXPECT_EQ(0u, i80lo79.countr_zero());
2336   EXPECT_EQ(79u, i80lo79.countr_one());
2337   EXPECT_EQ(79u, i80lo79.popcount());
2338 }
2339 
2340 TEST(APIntTest, setHighBits) {
2341   APInt i64hi32(64, 0);
2342   i64hi32.setHighBits(32);
2343   EXPECT_EQ(32u, i64hi32.countl_one());
2344   EXPECT_EQ(0u, i64hi32.countl_zero());
2345   EXPECT_EQ(64u, i64hi32.getActiveBits());
2346   EXPECT_EQ(32u, i64hi32.countr_zero());
2347   EXPECT_EQ(0u, i64hi32.countr_one());
2348   EXPECT_EQ(32u, i64hi32.popcount());
2349 
2350   APInt i128hi64(128, 0);
2351   i128hi64.setHighBits(64);
2352   EXPECT_EQ(64u, i128hi64.countl_one());
2353   EXPECT_EQ(0u, i128hi64.countl_zero());
2354   EXPECT_EQ(128u, i128hi64.getActiveBits());
2355   EXPECT_EQ(64u, i128hi64.countr_zero());
2356   EXPECT_EQ(0u, i128hi64.countr_one());
2357   EXPECT_EQ(64u, i128hi64.popcount());
2358 
2359   APInt i128hi24(128, 0);
2360   i128hi24.setHighBits(24);
2361   EXPECT_EQ(24u, i128hi24.countl_one());
2362   EXPECT_EQ(0u, i128hi24.countl_zero());
2363   EXPECT_EQ(128u, i128hi24.getActiveBits());
2364   EXPECT_EQ(104u, i128hi24.countr_zero());
2365   EXPECT_EQ(0u, i128hi24.countr_one());
2366   EXPECT_EQ(24u, i128hi24.popcount());
2367 
2368   APInt i128hi104(128, 0);
2369   i128hi104.setHighBits(104);
2370   EXPECT_EQ(104u, i128hi104.countl_one());
2371   EXPECT_EQ(0u, i128hi104.countl_zero());
2372   EXPECT_EQ(128u, i128hi104.getActiveBits());
2373   EXPECT_EQ(24u, i128hi104.countr_zero());
2374   EXPECT_EQ(0u, i128hi104.countr_one());
2375   EXPECT_EQ(104u, i128hi104.popcount());
2376 
2377   APInt i128hi0(128, 0);
2378   i128hi0.setHighBits(0);
2379   EXPECT_EQ(0u, i128hi0.countl_one());
2380   EXPECT_EQ(128u, i128hi0.countl_zero());
2381   EXPECT_EQ(0u, i128hi0.getActiveBits());
2382   EXPECT_EQ(128u, i128hi0.countr_zero());
2383   EXPECT_EQ(0u, i128hi0.countr_one());
2384   EXPECT_EQ(0u, i128hi0.popcount());
2385 
2386   APInt i80hi1(80, 0);
2387   i80hi1.setHighBits(1);
2388   EXPECT_EQ(1u, i80hi1.countl_one());
2389   EXPECT_EQ(0u, i80hi1.countl_zero());
2390   EXPECT_EQ(80u, i80hi1.getActiveBits());
2391   EXPECT_EQ(79u, i80hi1.countr_zero());
2392   EXPECT_EQ(0u, i80hi1.countr_one());
2393   EXPECT_EQ(1u, i80hi1.popcount());
2394 
2395   APInt i32hi16(32, 0);
2396   i32hi16.setHighBits(16);
2397   EXPECT_EQ(16u, i32hi16.countl_one());
2398   EXPECT_EQ(0u, i32hi16.countl_zero());
2399   EXPECT_EQ(32u, i32hi16.getActiveBits());
2400   EXPECT_EQ(16u, i32hi16.countr_zero());
2401   EXPECT_EQ(0u, i32hi16.countr_one());
2402   EXPECT_EQ(16u, i32hi16.popcount());
2403 }
2404 
2405 TEST(APIntTest, setBitsFrom) {
2406   APInt i64from63(64, 0);
2407   i64from63.setBitsFrom(63);
2408   EXPECT_EQ(1u, i64from63.countl_one());
2409   EXPECT_EQ(0u, i64from63.countl_zero());
2410   EXPECT_EQ(64u, i64from63.getActiveBits());
2411   EXPECT_EQ(63u, i64from63.countr_zero());
2412   EXPECT_EQ(0u, i64from63.countr_one());
2413   EXPECT_EQ(1u, i64from63.popcount());
2414 }
2415 
2416 TEST(APIntTest, setAllBits) {
2417   APInt i32(32, 0);
2418   i32.setAllBits();
2419   EXPECT_EQ(32u, i32.countl_one());
2420   EXPECT_EQ(0u, i32.countl_zero());
2421   EXPECT_EQ(32u, i32.getActiveBits());
2422   EXPECT_EQ(0u, i32.countr_zero());
2423   EXPECT_EQ(32u, i32.countr_one());
2424   EXPECT_EQ(32u, i32.popcount());
2425 
2426   APInt i64(64, 0);
2427   i64.setAllBits();
2428   EXPECT_EQ(64u, i64.countl_one());
2429   EXPECT_EQ(0u, i64.countl_zero());
2430   EXPECT_EQ(64u, i64.getActiveBits());
2431   EXPECT_EQ(0u, i64.countr_zero());
2432   EXPECT_EQ(64u, i64.countr_one());
2433   EXPECT_EQ(64u, i64.popcount());
2434 
2435   APInt i96(96, 0);
2436   i96.setAllBits();
2437   EXPECT_EQ(96u, i96.countl_one());
2438   EXPECT_EQ(0u, i96.countl_zero());
2439   EXPECT_EQ(96u, i96.getActiveBits());
2440   EXPECT_EQ(0u, i96.countr_zero());
2441   EXPECT_EQ(96u, i96.countr_one());
2442   EXPECT_EQ(96u, i96.popcount());
2443 
2444   APInt i128(128, 0);
2445   i128.setAllBits();
2446   EXPECT_EQ(128u, i128.countl_one());
2447   EXPECT_EQ(0u, i128.countl_zero());
2448   EXPECT_EQ(128u, i128.getActiveBits());
2449   EXPECT_EQ(0u, i128.countr_zero());
2450   EXPECT_EQ(128u, i128.countr_one());
2451   EXPECT_EQ(128u, i128.popcount());
2452 }
2453 
2454 TEST(APIntTest, getLoBits) {
2455   APInt i32(32, 0xfa);
2456   i32.setHighBits(1);
2457   EXPECT_EQ(0xa, i32.getLoBits(4));
2458   APInt i128(128, 0xfa);
2459   i128.setHighBits(1);
2460   EXPECT_EQ(0xa, i128.getLoBits(4));
2461 }
2462 
2463 TEST(APIntTest, getHiBits) {
2464   APInt i32(32, 0xfa);
2465   i32.setHighBits(2);
2466   EXPECT_EQ(0xc, i32.getHiBits(4));
2467   APInt i128(128, 0xfa);
2468   i128.setHighBits(2);
2469   EXPECT_EQ(0xc, i128.getHiBits(4));
2470 }
2471 
2472 TEST(APIntTest, clearLowBits) {
2473   APInt i64hi32 = APInt::getAllOnes(64);
2474   i64hi32.clearLowBits(32);
2475   EXPECT_EQ(32u, i64hi32.countl_one());
2476   EXPECT_EQ(0u, i64hi32.countl_zero());
2477   EXPECT_EQ(64u, i64hi32.getActiveBits());
2478   EXPECT_EQ(32u, i64hi32.countr_zero());
2479   EXPECT_EQ(0u, i64hi32.countr_one());
2480   EXPECT_EQ(32u, i64hi32.popcount());
2481 
2482   APInt i128hi64 = APInt::getAllOnes(128);
2483   i128hi64.clearLowBits(64);
2484   EXPECT_EQ(64u, i128hi64.countl_one());
2485   EXPECT_EQ(0u, i128hi64.countl_zero());
2486   EXPECT_EQ(128u, i128hi64.getActiveBits());
2487   EXPECT_EQ(64u, i128hi64.countr_zero());
2488   EXPECT_EQ(0u, i128hi64.countr_one());
2489   EXPECT_EQ(64u, i128hi64.popcount());
2490 
2491   APInt i128hi24 = APInt::getAllOnes(128);
2492   i128hi24.clearLowBits(104);
2493   EXPECT_EQ(24u, i128hi24.countl_one());
2494   EXPECT_EQ(0u, i128hi24.countl_zero());
2495   EXPECT_EQ(128u, i128hi24.getActiveBits());
2496   EXPECT_EQ(104u, i128hi24.countr_zero());
2497   EXPECT_EQ(0u, i128hi24.countr_one());
2498   EXPECT_EQ(24u, i128hi24.popcount());
2499 
2500   APInt i128hi104 = APInt::getAllOnes(128);
2501   i128hi104.clearLowBits(24);
2502   EXPECT_EQ(104u, i128hi104.countl_one());
2503   EXPECT_EQ(0u, i128hi104.countl_zero());
2504   EXPECT_EQ(128u, i128hi104.getActiveBits());
2505   EXPECT_EQ(24u, i128hi104.countr_zero());
2506   EXPECT_EQ(0u, i128hi104.countr_one());
2507   EXPECT_EQ(104u, i128hi104.popcount());
2508 
2509   APInt i128hi0 = APInt::getAllOnes(128);
2510   i128hi0.clearLowBits(128);
2511   EXPECT_EQ(0u, i128hi0.countl_one());
2512   EXPECT_EQ(128u, i128hi0.countl_zero());
2513   EXPECT_EQ(0u, i128hi0.getActiveBits());
2514   EXPECT_EQ(128u, i128hi0.countr_zero());
2515   EXPECT_EQ(0u, i128hi0.countr_one());
2516   EXPECT_EQ(0u, i128hi0.popcount());
2517 
2518   APInt i80hi1 = APInt::getAllOnes(80);
2519   i80hi1.clearLowBits(79);
2520   EXPECT_EQ(1u, i80hi1.countl_one());
2521   EXPECT_EQ(0u, i80hi1.countl_zero());
2522   EXPECT_EQ(80u, i80hi1.getActiveBits());
2523   EXPECT_EQ(79u, i80hi1.countr_zero());
2524   EXPECT_EQ(0u, i80hi1.countr_one());
2525   EXPECT_EQ(1u, i80hi1.popcount());
2526 
2527   APInt i32hi16 = APInt::getAllOnes(32);
2528   i32hi16.clearLowBits(16);
2529   EXPECT_EQ(16u, i32hi16.countl_one());
2530   EXPECT_EQ(0u, i32hi16.countl_zero());
2531   EXPECT_EQ(32u, i32hi16.getActiveBits());
2532   EXPECT_EQ(16u, i32hi16.countr_zero());
2533   EXPECT_EQ(0u, i32hi16.countr_one());
2534   EXPECT_EQ(16u, i32hi16.popcount());
2535 }
2536 
2537 TEST(APIntTest, abds) {
2538   using APIntOps::abds;
2539 
2540   APInt MaxU1(1, 1, false);
2541   APInt MinU1(1, 0, false);
2542   EXPECT_EQ(1u, abds(MaxU1, MinU1).getZExtValue());
2543   EXPECT_EQ(1u, abds(MinU1, MaxU1).getZExtValue());
2544 
2545   APInt MaxU4(4, 15, false);
2546   APInt MinU4(4, 0, false);
2547   EXPECT_EQ(1, abds(MaxU4, MinU4).getSExtValue());
2548   EXPECT_EQ(1, abds(MinU4, MaxU4).getSExtValue());
2549 
2550   APInt MaxS8(8, 127, true);
2551   APInt MinS8(8, -128, true);
2552   EXPECT_EQ(-1, abds(MaxS8, MinS8).getSExtValue());
2553   EXPECT_EQ(-1, abds(MinS8, MaxS8).getSExtValue());
2554 
2555   APInt MaxU16(16, 65535, false);
2556   APInt MinU16(16, 0, false);
2557   EXPECT_EQ(1, abds(MaxU16, MinU16).getSExtValue());
2558   EXPECT_EQ(1, abds(MinU16, MaxU16).getSExtValue());
2559 
2560   APInt MaxS16(16, 32767, true);
2561   APInt MinS16(16, -32768, true);
2562   APInt ZeroS16(16, 0, true);
2563   EXPECT_EQ(-1, abds(MaxS16, MinS16).getSExtValue());
2564   EXPECT_EQ(-1, abds(MinS16, MaxS16).getSExtValue());
2565   EXPECT_EQ(32768u, abds(ZeroS16, MinS16));
2566   EXPECT_EQ(32768u, abds(MinS16, ZeroS16));
2567   EXPECT_EQ(32767u, abds(ZeroS16, MaxS16));
2568   EXPECT_EQ(32767u, abds(MaxS16, ZeroS16));
2569 }
2570 
2571 TEST(APIntTest, abdu) {
2572   using APIntOps::abdu;
2573 
2574   APInt MaxU1(1, 1, false);
2575   APInt MinU1(1, 0, false);
2576   EXPECT_EQ(1u, abdu(MaxU1, MinU1).getZExtValue());
2577   EXPECT_EQ(1u, abdu(MinU1, MaxU1).getZExtValue());
2578 
2579   APInt MaxU4(4, 15, false);
2580   APInt MinU4(4, 0, false);
2581   EXPECT_EQ(15u, abdu(MaxU4, MinU4).getZExtValue());
2582   EXPECT_EQ(15u, abdu(MinU4, MaxU4).getZExtValue());
2583 
2584   APInt MaxS8(8, 127, true);
2585   APInt MinS8(8, -128, true);
2586   EXPECT_EQ(1u, abdu(MaxS8, MinS8).getZExtValue());
2587   EXPECT_EQ(1u, abdu(MinS8, MaxS8).getZExtValue());
2588 
2589   APInt MaxU16(16, 65535, false);
2590   APInt MinU16(16, 0, false);
2591   EXPECT_EQ(65535u, abdu(MaxU16, MinU16).getZExtValue());
2592   EXPECT_EQ(65535u, abdu(MinU16, MaxU16).getZExtValue());
2593 
2594   APInt MaxS16(16, 32767, true);
2595   APInt MinS16(16, -32768, true);
2596   APInt ZeroS16(16, 0, true);
2597   EXPECT_EQ(1u, abdu(MaxS16, MinS16).getZExtValue());
2598   EXPECT_EQ(1u, abdu(MinS16, MaxS16).getZExtValue());
2599   EXPECT_EQ(32768u, abdu(ZeroS16, MinS16));
2600   EXPECT_EQ(32768u, abdu(MinS16, ZeroS16));
2601   EXPECT_EQ(32767u, abdu(ZeroS16, MaxS16));
2602   EXPECT_EQ(32767u, abdu(MaxS16, ZeroS16));
2603 }
2604 
2605 TEST(APIntTest, GCD) {
2606   using APIntOps::GreatestCommonDivisor;
2607 
2608   for (unsigned Bits : {1, 2, 32, 63, 64, 65}) {
2609     // Test some corner cases near zero.
2610     APInt Zero(Bits, 0), One(Bits, 1);
2611     EXPECT_EQ(GreatestCommonDivisor(Zero, Zero), Zero);
2612     EXPECT_EQ(GreatestCommonDivisor(Zero, One), One);
2613     EXPECT_EQ(GreatestCommonDivisor(One, Zero), One);
2614     EXPECT_EQ(GreatestCommonDivisor(One, One), One);
2615 
2616     if (Bits > 1) {
2617       APInt Two(Bits, 2);
2618       EXPECT_EQ(GreatestCommonDivisor(Zero, Two), Two);
2619       EXPECT_EQ(GreatestCommonDivisor(One, Two), One);
2620       EXPECT_EQ(GreatestCommonDivisor(Two, Two), Two);
2621 
2622       // Test some corner cases near the highest representable value.
2623       APInt Max(Bits, 0);
2624       Max.setAllBits();
2625       EXPECT_EQ(GreatestCommonDivisor(Zero, Max), Max);
2626       EXPECT_EQ(GreatestCommonDivisor(One, Max), One);
2627       EXPECT_EQ(GreatestCommonDivisor(Two, Max), One);
2628       EXPECT_EQ(GreatestCommonDivisor(Max, Max), Max);
2629 
2630       APInt MaxOver2 = Max.udiv(Two);
2631       EXPECT_EQ(GreatestCommonDivisor(MaxOver2, Max), One);
2632       // Max - 1 == Max / 2 * 2, because Max is odd.
2633       EXPECT_EQ(GreatestCommonDivisor(MaxOver2, Max - 1), MaxOver2);
2634     }
2635   }
2636 
2637   // Compute the 20th Mersenne prime.
2638   const unsigned BitWidth = 4450;
2639   APInt HugePrime = APInt::getLowBitsSet(BitWidth, 4423);
2640 
2641   // 9931 and 123456 are coprime.
2642   APInt A = HugePrime * APInt(BitWidth, 9931);
2643   APInt B = HugePrime * APInt(BitWidth, 123456);
2644   APInt C = GreatestCommonDivisor(A, B);
2645   EXPECT_EQ(C, HugePrime);
2646 }
2647 
2648 TEST(APIntTest, LogicalRightShift) {
2649   APInt i256(APInt::getHighBitsSet(256, 2));
2650 
2651   i256.lshrInPlace(1);
2652   EXPECT_EQ(1U, i256.countl_zero());
2653   EXPECT_EQ(253U, i256.countr_zero());
2654   EXPECT_EQ(2U, i256.popcount());
2655 
2656   i256.lshrInPlace(62);
2657   EXPECT_EQ(63U, i256.countl_zero());
2658   EXPECT_EQ(191U, i256.countr_zero());
2659   EXPECT_EQ(2U, i256.popcount());
2660 
2661   i256.lshrInPlace(65);
2662   EXPECT_EQ(128U, i256.countl_zero());
2663   EXPECT_EQ(126U, i256.countr_zero());
2664   EXPECT_EQ(2U, i256.popcount());
2665 
2666   i256.lshrInPlace(64);
2667   EXPECT_EQ(192U, i256.countl_zero());
2668   EXPECT_EQ(62U, i256.countr_zero());
2669   EXPECT_EQ(2U, i256.popcount());
2670 
2671   i256.lshrInPlace(63);
2672   EXPECT_EQ(255U, i256.countl_zero());
2673   EXPECT_EQ(0U, i256.countr_zero());
2674   EXPECT_EQ(1U, i256.popcount());
2675 
2676   // Ensure we handle large shifts of multi-word.
2677   const APInt neg_one(128, static_cast<uint64_t>(-1), true);
2678   EXPECT_EQ(0, neg_one.lshr(128));
2679 }
2680 
2681 TEST(APIntTest, ArithmeticRightShift) {
2682   APInt i72(APInt::getHighBitsSet(72, 1));
2683   i72.ashrInPlace(46);
2684   EXPECT_EQ(47U, i72.countl_one());
2685   EXPECT_EQ(25U, i72.countr_zero());
2686   EXPECT_EQ(47U, i72.popcount());
2687 
2688   i72 = APInt::getHighBitsSet(72, 1);
2689   i72.ashrInPlace(64);
2690   EXPECT_EQ(65U, i72.countl_one());
2691   EXPECT_EQ(7U, i72.countr_zero());
2692   EXPECT_EQ(65U, i72.popcount());
2693 
2694   APInt i128(APInt::getHighBitsSet(128, 1));
2695   i128.ashrInPlace(64);
2696   EXPECT_EQ(65U, i128.countl_one());
2697   EXPECT_EQ(63U, i128.countr_zero());
2698   EXPECT_EQ(65U, i128.popcount());
2699 
2700   // Ensure we handle large shifts of multi-word.
2701   const APInt signmin32(APInt::getSignedMinValue(32));
2702   EXPECT_TRUE(signmin32.ashr(32).isAllOnes());
2703 
2704   // Ensure we handle large shifts of multi-word.
2705   const APInt umax32(APInt::getSignedMaxValue(32));
2706   EXPECT_EQ(0, umax32.ashr(32));
2707 
2708   // Ensure we handle large shifts of multi-word.
2709   const APInt signmin128(APInt::getSignedMinValue(128));
2710   EXPECT_TRUE(signmin128.ashr(128).isAllOnes());
2711 
2712   // Ensure we handle large shifts of multi-word.
2713   const APInt umax128(APInt::getSignedMaxValue(128));
2714   EXPECT_EQ(0, umax128.ashr(128));
2715 }
2716 
2717 TEST(APIntTest, LeftShift) {
2718   APInt i256(APInt::getLowBitsSet(256, 2));
2719 
2720   i256 <<= 1;
2721   EXPECT_EQ(253U, i256.countl_zero());
2722   EXPECT_EQ(1U, i256.countr_zero());
2723   EXPECT_EQ(2U, i256.popcount());
2724 
2725   i256 <<= 62;
2726   EXPECT_EQ(191U, i256.countl_zero());
2727   EXPECT_EQ(63U, i256.countr_zero());
2728   EXPECT_EQ(2U, i256.popcount());
2729 
2730   i256 <<= 65;
2731   EXPECT_EQ(126U, i256.countl_zero());
2732   EXPECT_EQ(128U, i256.countr_zero());
2733   EXPECT_EQ(2U, i256.popcount());
2734 
2735   i256 <<= 64;
2736   EXPECT_EQ(62U, i256.countl_zero());
2737   EXPECT_EQ(192U, i256.countr_zero());
2738   EXPECT_EQ(2U, i256.popcount());
2739 
2740   i256 <<= 63;
2741   EXPECT_EQ(0U, i256.countl_zero());
2742   EXPECT_EQ(255U, i256.countr_zero());
2743   EXPECT_EQ(1U, i256.popcount());
2744 
2745   // Ensure we handle large shifts of multi-word.
2746   const APInt neg_one(128, static_cast<uint64_t>(-1), true);
2747   EXPECT_EQ(0, neg_one.shl(128));
2748 }
2749 
2750 TEST(APIntTest, isSubsetOf) {
2751   APInt i32_1(32, 1);
2752   APInt i32_2(32, 2);
2753   APInt i32_3(32, 3);
2754   EXPECT_FALSE(i32_3.isSubsetOf(i32_1));
2755   EXPECT_TRUE(i32_1.isSubsetOf(i32_3));
2756   EXPECT_FALSE(i32_2.isSubsetOf(i32_1));
2757   EXPECT_FALSE(i32_1.isSubsetOf(i32_2));
2758   EXPECT_TRUE(i32_3.isSubsetOf(i32_3));
2759 
2760   APInt i128_1(128, 1);
2761   APInt i128_2(128, 2);
2762   APInt i128_3(128, 3);
2763   EXPECT_FALSE(i128_3.isSubsetOf(i128_1));
2764   EXPECT_TRUE(i128_1.isSubsetOf(i128_3));
2765   EXPECT_FALSE(i128_2.isSubsetOf(i128_1));
2766   EXPECT_FALSE(i128_1.isSubsetOf(i128_2));
2767   EXPECT_TRUE(i128_3.isSubsetOf(i128_3));
2768 
2769   i128_1 <<= 64;
2770   i128_2 <<= 64;
2771   i128_3 <<= 64;
2772   EXPECT_FALSE(i128_3.isSubsetOf(i128_1));
2773   EXPECT_TRUE(i128_1.isSubsetOf(i128_3));
2774   EXPECT_FALSE(i128_2.isSubsetOf(i128_1));
2775   EXPECT_FALSE(i128_1.isSubsetOf(i128_2));
2776   EXPECT_TRUE(i128_3.isSubsetOf(i128_3));
2777 }
2778 
2779 TEST(APIntTest, sext) {
2780   EXPECT_EQ(0, APInt(1, 0).sext(64));
2781   EXPECT_EQ(~uint64_t(0), APInt(1, 1).sext(64));
2782 
2783   APInt i32_max(APInt::getSignedMaxValue(32).sext(63));
2784   EXPECT_EQ(i32_max, i32_max.sext(63));
2785   EXPECT_EQ(32U, i32_max.countl_zero());
2786   EXPECT_EQ(0U, i32_max.countr_zero());
2787   EXPECT_EQ(31U, i32_max.popcount());
2788 
2789   APInt i32_min(APInt::getSignedMinValue(32).sext(63));
2790   EXPECT_EQ(i32_min, i32_min.sext(63));
2791   EXPECT_EQ(32U, i32_min.countl_one());
2792   EXPECT_EQ(31U, i32_min.countr_zero());
2793   EXPECT_EQ(32U, i32_min.popcount());
2794 
2795   APInt i32_neg1(APInt(32, ~uint64_t(0)).sext(63));
2796   EXPECT_EQ(i32_neg1, i32_neg1.sext(63));
2797   EXPECT_EQ(63U, i32_neg1.countl_one());
2798   EXPECT_EQ(0U, i32_neg1.countr_zero());
2799   EXPECT_EQ(63U, i32_neg1.popcount());
2800 }
2801 
2802 TEST(APIntTest, trunc) {
2803   APInt val(32, 0xFFFFFFFF);
2804   EXPECT_EQ(0xFFFF, val.trunc(16));
2805   EXPECT_EQ(0xFFFFFFFF, val.trunc(32));
2806 }
2807 
2808 TEST(APIntTest, concat) {
2809   APInt Int1(4, 0x1ULL);
2810   APInt Int3(4, 0x3ULL);
2811 
2812   EXPECT_EQ(0x31, Int3.concat(Int1));
2813   EXPECT_EQ(APInt(12, 0x313), Int3.concat(Int1).concat(Int3));
2814   EXPECT_EQ(APInt(16, 0x3313), Int3.concat(Int3).concat(Int1).concat(Int3));
2815 
2816   APInt I64(64, 0x3ULL);
2817   EXPECT_EQ(I64, I64.concat(I64).lshr(64).trunc(64));
2818 
2819   APInt I65(65, 0x3ULL);
2820   APInt I0 = APInt::getZeroWidth();
2821   EXPECT_EQ(I65, I65.concat(I0));
2822   EXPECT_EQ(I65, I0.concat(I65));
2823 }
2824 
2825 TEST(APIntTest, multiply) {
2826   APInt i64(64, 1234);
2827 
2828   EXPECT_EQ(7006652, i64 * 5678);
2829   EXPECT_EQ(7006652, 5678 * i64);
2830 
2831   APInt i128 = APInt::getOneBitSet(128, 64);
2832   APInt i128_1234(128, 1234);
2833   i128_1234 <<= 64;
2834   EXPECT_EQ(i128_1234, i128 * 1234);
2835   EXPECT_EQ(i128_1234, 1234 * i128);
2836 
2837   APInt i96 = APInt::getOneBitSet(96, 64);
2838   i96 *= ~0ULL;
2839   EXPECT_EQ(32U, i96.countl_one());
2840   EXPECT_EQ(32U, i96.popcount());
2841   EXPECT_EQ(64U, i96.countr_zero());
2842 }
2843 
2844 TEST(APIntTest, RoundingUDiv) {
2845   for (uint64_t Ai = 1; Ai <= 255; Ai++) {
2846     APInt A(8, Ai);
2847     APInt Zero(8, 0);
2848     EXPECT_EQ(0, APIntOps::RoundingUDiv(Zero, A, APInt::Rounding::UP));
2849     EXPECT_EQ(0, APIntOps::RoundingUDiv(Zero, A, APInt::Rounding::DOWN));
2850     EXPECT_EQ(0, APIntOps::RoundingUDiv(Zero, A, APInt::Rounding::TOWARD_ZERO));
2851 
2852     for (uint64_t Bi = 1; Bi <= 255; Bi++) {
2853       APInt B(8, Bi);
2854       {
2855         APInt Quo = APIntOps::RoundingUDiv(A, B, APInt::Rounding::UP);
2856         auto Prod = Quo.zext(16) * B.zext(16);
2857         EXPECT_TRUE(Prod.uge(Ai));
2858         if (Prod.ugt(Ai)) {
2859           EXPECT_TRUE(((Quo - 1).zext(16) * B.zext(16)).ult(Ai));
2860         }
2861       }
2862       {
2863         APInt Quo = A.udiv(B);
2864         EXPECT_EQ(Quo, APIntOps::RoundingUDiv(A, B, APInt::Rounding::TOWARD_ZERO));
2865         EXPECT_EQ(Quo, APIntOps::RoundingUDiv(A, B, APInt::Rounding::DOWN));
2866       }
2867     }
2868   }
2869 }
2870 
2871 TEST(APIntTest, RoundingSDiv) {
2872   for (int64_t Ai = -128; Ai <= 127; Ai++) {
2873     APInt A(8, Ai);
2874 
2875     if (Ai != 0) {
2876       APInt Zero(8, 0);
2877       EXPECT_EQ(0, APIntOps::RoundingSDiv(Zero, A, APInt::Rounding::UP));
2878       EXPECT_EQ(0, APIntOps::RoundingSDiv(Zero, A, APInt::Rounding::DOWN));
2879       EXPECT_EQ(0, APIntOps::RoundingSDiv(Zero, A, APInt::Rounding::TOWARD_ZERO));
2880     }
2881 
2882     for (int64_t Bi = -128; Bi <= 127; Bi++) {
2883       if (Bi == 0)
2884         continue;
2885 
2886       APInt B(8, Bi);
2887       APInt QuoTowardZero = A.sdiv(B);
2888       {
2889         APInt Quo = APIntOps::RoundingSDiv(A, B, APInt::Rounding::UP);
2890         if (A.srem(B).isZero()) {
2891           EXPECT_EQ(QuoTowardZero, Quo);
2892         } else if (A.isNegative() !=
2893                    B.isNegative()) { // if the math quotient is negative.
2894           EXPECT_EQ(QuoTowardZero, Quo);
2895         } else {
2896           EXPECT_EQ(QuoTowardZero + 1, Quo);
2897         }
2898       }
2899       {
2900         APInt Quo = APIntOps::RoundingSDiv(A, B, APInt::Rounding::DOWN);
2901         if (A.srem(B).isZero()) {
2902           EXPECT_EQ(QuoTowardZero, Quo);
2903         } else if (A.isNegative() !=
2904                    B.isNegative()) { // if the math quotient is negative.
2905           EXPECT_EQ(QuoTowardZero - 1, Quo);
2906         } else {
2907           EXPECT_EQ(QuoTowardZero, Quo);
2908         }
2909       }
2910       EXPECT_EQ(QuoTowardZero,
2911                 APIntOps::RoundingSDiv(A, B, APInt::Rounding::TOWARD_ZERO));
2912     }
2913   }
2914 }
2915 
2916 TEST(APIntTest, Average) {
2917   APInt A0(32, 0);
2918   APInt A2(32, 2);
2919   APInt A100(32, 100);
2920   APInt A101(32, 101);
2921   APInt A200(32, 200, false);
2922   APInt ApUMax = APInt::getMaxValue(32);
2923 
2924   EXPECT_EQ(APInt(32, 150), APIntOps::avgFloorU(A100, A200));
2925   EXPECT_EQ(APIntOps::RoundingUDiv(A100 + A200, A2, APInt::Rounding::DOWN),
2926             APIntOps::avgFloorU(A100, A200));
2927   EXPECT_EQ(APIntOps::RoundingUDiv(A100 + A200, A2, APInt::Rounding::UP),
2928             APIntOps::avgCeilU(A100, A200));
2929   EXPECT_EQ(APIntOps::RoundingUDiv(A100 + A101, A2, APInt::Rounding::DOWN),
2930             APIntOps::avgFloorU(A100, A101));
2931   EXPECT_EQ(APIntOps::RoundingUDiv(A100 + A101, A2, APInt::Rounding::UP),
2932             APIntOps::avgCeilU(A100, A101));
2933   EXPECT_EQ(A0, APIntOps::avgFloorU(A0, A0));
2934   EXPECT_EQ(A0, APIntOps::avgCeilU(A0, A0));
2935   EXPECT_EQ(ApUMax, APIntOps::avgFloorU(ApUMax, ApUMax));
2936   EXPECT_EQ(ApUMax, APIntOps::avgCeilU(ApUMax, ApUMax));
2937   EXPECT_EQ(APIntOps::RoundingUDiv(ApUMax, A2, APInt::Rounding::DOWN),
2938             APIntOps::avgFloorU(A0, ApUMax));
2939   EXPECT_EQ(APIntOps::RoundingUDiv(ApUMax, A2, APInt::Rounding::UP),
2940             APIntOps::avgCeilU(A0, ApUMax));
2941 
2942   APInt Ap100(32, +100);
2943   APInt Ap101(32, +101);
2944   APInt Ap200(32, +200);
2945   APInt Am1(32, -1);
2946   APInt Am100(32, -100);
2947   APInt Am101(32, -101);
2948   APInt Am200(32, -200);
2949   APInt AmSMin = APInt::getSignedMinValue(32);
2950   APInt ApSMax = APInt::getSignedMaxValue(32);
2951 
2952   EXPECT_EQ(APInt(32, +150), APIntOps::avgFloorS(Ap100, Ap200));
2953   EXPECT_EQ(APIntOps::RoundingSDiv(Ap100 + Ap200, A2, APInt::Rounding::DOWN),
2954             APIntOps::avgFloorS(Ap100, Ap200));
2955   EXPECT_EQ(APIntOps::RoundingSDiv(Ap100 + Ap200, A2, APInt::Rounding::UP),
2956             APIntOps::avgCeilS(Ap100, Ap200));
2957 
2958   EXPECT_EQ(APInt(32, -150), APIntOps::avgFloorS(Am100, Am200));
2959   EXPECT_EQ(APIntOps::RoundingSDiv(Am100 + Am200, A2, APInt::Rounding::DOWN),
2960             APIntOps::avgFloorS(Am100, Am200));
2961   EXPECT_EQ(APIntOps::RoundingSDiv(Am100 + Am200, A2, APInt::Rounding::UP),
2962             APIntOps::avgCeilS(Am100, Am200));
2963 
2964   EXPECT_EQ(APInt(32, +100), APIntOps::avgFloorS(Ap100, Ap101));
2965   EXPECT_EQ(APIntOps::RoundingSDiv(Ap100 + Ap101, A2, APInt::Rounding::DOWN),
2966             APIntOps::avgFloorS(Ap100, Ap101));
2967   EXPECT_EQ(APInt(32, +101), APIntOps::avgCeilS(Ap100, Ap101));
2968   EXPECT_EQ(APIntOps::RoundingSDiv(Ap100 + Ap101, A2, APInt::Rounding::UP),
2969             APIntOps::avgCeilS(Ap100, Ap101));
2970 
2971   EXPECT_EQ(APInt(32, -101), APIntOps::avgFloorS(Am100, Am101));
2972   EXPECT_EQ(APIntOps::RoundingSDiv(Am100 + Am101, A2, APInt::Rounding::DOWN),
2973             APIntOps::avgFloorS(Am100, Am101));
2974   EXPECT_EQ(APInt(32, -100), APIntOps::avgCeilS(Am100, Am101));
2975   EXPECT_EQ(APIntOps::RoundingSDiv(Am100 + Am101, A2, APInt::Rounding::UP),
2976             APIntOps::avgCeilS(Am100, Am101));
2977 
2978   EXPECT_EQ(AmSMin, APIntOps::avgFloorS(AmSMin, AmSMin));
2979   EXPECT_EQ(AmSMin, APIntOps::avgCeilS(AmSMin, AmSMin));
2980 
2981   EXPECT_EQ(APIntOps::RoundingSDiv(AmSMin, A2, APInt::Rounding::DOWN),
2982             APIntOps::avgFloorS(A0, AmSMin));
2983   EXPECT_EQ(APIntOps::RoundingSDiv(AmSMin, A2, APInt::Rounding::UP),
2984             APIntOps::avgCeilS(A0, AmSMin));
2985 
2986   EXPECT_EQ(A0, APIntOps::avgFloorS(A0, A0));
2987   EXPECT_EQ(A0, APIntOps::avgCeilS(A0, A0));
2988 
2989   EXPECT_EQ(Am1, APIntOps::avgFloorS(AmSMin, ApSMax));
2990   EXPECT_EQ(A0, APIntOps::avgCeilS(AmSMin, ApSMax));
2991 
2992   EXPECT_EQ(APIntOps::RoundingSDiv(ApSMax, A2, APInt::Rounding::DOWN),
2993             APIntOps::avgFloorS(A0, ApSMax));
2994   EXPECT_EQ(APIntOps::RoundingSDiv(ApSMax, A2, APInt::Rounding::UP),
2995             APIntOps::avgCeilS(A0, ApSMax));
2996 
2997   EXPECT_EQ(ApSMax, APIntOps::avgFloorS(ApSMax, ApSMax));
2998   EXPECT_EQ(ApSMax, APIntOps::avgCeilS(ApSMax, ApSMax));
2999 }
3000 
3001 TEST(APIntTest, umul_ov) {
3002   const std::pair<uint64_t, uint64_t> Overflows[] = {
3003       {0x8000000000000000, 2},
3004       {0x5555555555555556, 3},
3005       {4294967296, 4294967296},
3006       {4294967295, 4294967298},
3007   };
3008   const std::pair<uint64_t, uint64_t> NonOverflows[] = {
3009       {0x7fffffffffffffff, 2},
3010       {0x5555555555555555, 3},
3011       {4294967295, 4294967297},
3012   };
3013 
3014   bool Overflow;
3015   for (auto &X : Overflows) {
3016     APInt A(64, X.first);
3017     APInt B(64, X.second);
3018     (void)A.umul_ov(B, Overflow);
3019     EXPECT_TRUE(Overflow);
3020   }
3021   for (auto &X : NonOverflows) {
3022     APInt A(64, X.first);
3023     APInt B(64, X.second);
3024     (void)A.umul_ov(B, Overflow);
3025     EXPECT_FALSE(Overflow);
3026   }
3027 
3028   for (unsigned Bits = 1; Bits <= 5; ++Bits)
3029     for (unsigned A = 0; A != 1u << Bits; ++A)
3030       for (unsigned B = 0; B != 1u << Bits; ++B) {
3031         APInt N1 = APInt(Bits, A), N2 = APInt(Bits, B);
3032         APInt Narrow = N1.umul_ov(N2, Overflow);
3033         APInt Wide = N1.zext(2 * Bits) * N2.zext(2 * Bits);
3034         EXPECT_EQ(Wide.trunc(Bits), Narrow);
3035         EXPECT_EQ(Narrow.zext(2 * Bits) != Wide, Overflow);
3036       }
3037 }
3038 
3039 TEST(APIntTest, smul_ov) {
3040   for (unsigned Bits = 1; Bits <= 5; ++Bits)
3041     for (unsigned A = 0; A != 1u << Bits; ++A)
3042       for (unsigned B = 0; B != 1u << Bits; ++B) {
3043         bool Overflow;
3044         APInt N1 = APInt(Bits, A), N2 = APInt(Bits, B);
3045         APInt Narrow = N1.smul_ov(N2, Overflow);
3046         APInt Wide = N1.sext(2 * Bits) * N2.sext(2 * Bits);
3047         EXPECT_EQ(Wide.trunc(Bits), Narrow);
3048         EXPECT_EQ(Narrow.sext(2 * Bits) != Wide, Overflow);
3049       }
3050 }
3051 
3052 TEST(APIntTest, sfloordiv_ov) {
3053   // int16 test overflow
3054   {
3055     using IntTy = int16_t;
3056     APInt divisor(8 * sizeof(IntTy), std::numeric_limits<IntTy>::lowest(),
3057                   true);
3058     APInt dividend(8 * sizeof(IntTy), IntTy(-1), true);
3059     bool Overflow = false;
3060     (void)divisor.sfloordiv_ov(dividend, Overflow);
3061     EXPECT_TRUE(Overflow);
3062   }
3063   // int32 test overflow
3064   {
3065     using IntTy = int32_t;
3066     APInt divisor(8 * sizeof(IntTy), std::numeric_limits<IntTy>::lowest(),
3067                   true);
3068     APInt dividend(8 * sizeof(IntTy), IntTy(-1), true);
3069     bool Overflow = false;
3070     (void)divisor.sfloordiv_ov(dividend, Overflow);
3071     EXPECT_TRUE(Overflow);
3072   }
3073   // int64 test overflow
3074   {
3075     using IntTy = int64_t;
3076     APInt divisor(8 * sizeof(IntTy), std::numeric_limits<IntTy>::lowest(),
3077                   true);
3078     APInt dividend(8 * sizeof(IntTy), IntTy(-1), true);
3079     bool Overflow = false;
3080     (void)divisor.sfloordiv_ov(dividend, Overflow);
3081     EXPECT_TRUE(Overflow);
3082   }
3083   // test all of int8
3084   {
3085     bool Overflow = false;
3086     for (int i = -128; i < 128; ++i) {
3087       for (int j = -128; j < 128; ++j) {
3088         if (j == 0)
3089           continue;
3090 
3091         int8_t a = static_cast<int8_t>(i);
3092         int8_t b = static_cast<int8_t>(j);
3093 
3094         APInt divisor(8, a, true);
3095         APInt dividend(8, b, true);
3096         APInt quotient = divisor.sfloordiv_ov(dividend, Overflow);
3097 
3098         if (i == -128 && j == -1) {
3099           EXPECT_TRUE(Overflow);
3100           continue;
3101         }
3102 
3103         if (((i >= 0 && j > 0) || (i <= 0 && j < 0)) ||
3104             (i % j == 0)) // if quotient >= 0 and remain == 0 floordiv
3105                           // equivalent to div
3106           EXPECT_EQ(quotient.getSExtValue(), a / b);
3107         else
3108           EXPECT_EQ(quotient.getSExtValue(), a / b - 1);
3109         EXPECT_FALSE(Overflow);
3110       }
3111     }
3112   }
3113 }
3114 
3115 TEST(APIntTest, SolveQuadraticEquationWrap) {
3116   // Verify that "Solution" is the first non-negative integer that solves
3117   // Ax^2 + Bx + C = "0 or overflow", i.e. that it is a correct solution
3118   // as calculated by SolveQuadraticEquationWrap.
3119   auto Validate = [] (int A, int B, int C, unsigned Width, int Solution) {
3120     int Mask = (1 << Width) - 1;
3121 
3122     // Solution should be non-negative.
3123     EXPECT_GE(Solution, 0);
3124 
3125     auto OverflowBits = [] (int64_t V, unsigned W) {
3126       return V & -(1 << W);
3127     };
3128 
3129     int64_t Over0 = OverflowBits(C, Width);
3130 
3131     auto IsZeroOrOverflow = [&] (int X) {
3132       int64_t ValueAtX = A*X*X + B*X + C;
3133       int64_t OverX = OverflowBits(ValueAtX, Width);
3134       return (ValueAtX & Mask) == 0 || OverX != Over0;
3135     };
3136 
3137     auto EquationToString = [&] (const char *X_str) {
3138       return (Twine(A) + Twine(X_str) + Twine("^2 + ") + Twine(B) +
3139               Twine(X_str) + Twine(" + ") + Twine(C) + Twine(", bitwidth: ") +
3140               Twine(Width)).str();
3141     };
3142 
3143     auto IsSolution = [&] (const char *X_str, int X) {
3144       if (IsZeroOrOverflow(X))
3145         return ::testing::AssertionSuccess()
3146                   << X << " is a solution of " << EquationToString(X_str);
3147       return ::testing::AssertionFailure()
3148                 << X << " is not an expected solution of "
3149                 << EquationToString(X_str);
3150     };
3151 
3152     auto IsNotSolution = [&] (const char *X_str, int X) {
3153       if (!IsZeroOrOverflow(X))
3154         return ::testing::AssertionSuccess()
3155                   << X << " is not a solution of " << EquationToString(X_str);
3156       return ::testing::AssertionFailure()
3157                 << X << " is an unexpected solution of "
3158                 << EquationToString(X_str);
3159     };
3160 
3161     // This is the important part: make sure that there is no solution that
3162     // is less than the calculated one.
3163     if (Solution > 0) {
3164       for (int X = 1; X < Solution-1; ++X)
3165         EXPECT_PRED_FORMAT1(IsNotSolution, X);
3166     }
3167 
3168     // Verify that the calculated solution is indeed a solution.
3169     EXPECT_PRED_FORMAT1(IsSolution, Solution);
3170   };
3171 
3172   // Generate all possible quadratic equations with Width-bit wide integer
3173   // coefficients, get the solution from SolveQuadraticEquationWrap, and
3174   // verify that the solution is correct.
3175   auto Iterate = [&] (unsigned Width) {
3176     assert(1 < Width && Width < 32);
3177     int Low = -(1 << (Width-1));
3178     int High = (1 << (Width-1));
3179 
3180     for (int A = Low; A != High; ++A) {
3181       if (A == 0)
3182         continue;
3183       for (int B = Low; B != High; ++B) {
3184         for (int C = Low; C != High; ++C) {
3185           std::optional<APInt> S = APIntOps::SolveQuadraticEquationWrap(
3186               APInt(Width, A), APInt(Width, B), APInt(Width, C), Width);
3187           if (S)
3188             Validate(A, B, C, Width, S->getSExtValue());
3189         }
3190       }
3191     }
3192   };
3193 
3194   // Test all widths in [2..6].
3195   for (unsigned i = 2; i <= 6; ++i)
3196     Iterate(i);
3197 }
3198 
3199 TEST(APIntTest, MultiplicativeInverseExaustive) {
3200   for (unsigned BitWidth = 1; BitWidth <= 16; ++BitWidth) {
3201     for (unsigned Value = 0; Value < (1u << BitWidth); ++Value) {
3202       APInt V = APInt(BitWidth, Value);
3203       APInt MulInv =
3204           V.zext(BitWidth + 1)
3205               .multiplicativeInverse(APInt::getSignedMinValue(BitWidth + 1))
3206               .trunc(BitWidth);
3207       APInt One = V * MulInv;
3208       if (!V.isZero() && V.countr_zero() == 0) {
3209         // Multiplicative inverse exists for all odd numbers.
3210         EXPECT_TRUE(One.isOne());
3211       } else {
3212         // Multiplicative inverse does not exist for even numbers (and 0).
3213         EXPECT_TRUE(MulInv.isZero());
3214       }
3215     }
3216   }
3217 }
3218 
3219 TEST(APIntTest, GetMostSignificantDifferentBit) {
3220   EXPECT_EQ(APIntOps::GetMostSignificantDifferentBit(APInt(8, 0), APInt(8, 0)),
3221             std::nullopt);
3222   EXPECT_EQ(
3223       APIntOps::GetMostSignificantDifferentBit(APInt(8, 42), APInt(8, 42)),
3224       std::nullopt);
3225   EXPECT_EQ(*APIntOps::GetMostSignificantDifferentBit(APInt(8, 0), APInt(8, 1)),
3226             0u);
3227   EXPECT_EQ(*APIntOps::GetMostSignificantDifferentBit(APInt(8, 0), APInt(8, 2)),
3228             1u);
3229   EXPECT_EQ(*APIntOps::GetMostSignificantDifferentBit(APInt(8, 0), APInt(8, 3)),
3230             1u);
3231   EXPECT_EQ(*APIntOps::GetMostSignificantDifferentBit(APInt(8, 1), APInt(8, 0)),
3232             0u);
3233   EXPECT_EQ(APIntOps::GetMostSignificantDifferentBit(APInt(8, 1), APInt(8, 1)),
3234             std::nullopt);
3235   EXPECT_EQ(*APIntOps::GetMostSignificantDifferentBit(APInt(8, 1), APInt(8, 2)),
3236             1u);
3237   EXPECT_EQ(*APIntOps::GetMostSignificantDifferentBit(APInt(8, 1), APInt(8, 3)),
3238             1u);
3239   EXPECT_EQ(
3240       *APIntOps::GetMostSignificantDifferentBit(APInt(8, 42), APInt(8, 112)),
3241       6u);
3242 }
3243 
3244 TEST(APIntTest, GetMostSignificantDifferentBitExaustive) {
3245   auto GetHighestDifferentBitBruteforce =
3246       [](const APInt &V0, const APInt &V1) -> std::optional<unsigned> {
3247     assert(V0.getBitWidth() == V1.getBitWidth() && "Must have same bitwidth");
3248     if (V0 == V1)
3249       return std::nullopt; // Bitwise identical.
3250     // There is a mismatch. Let's find the most significant different bit.
3251     for (int Bit = V0.getBitWidth() - 1; Bit >= 0; --Bit) {
3252       if (V0[Bit] == V1[Bit])
3253         continue;
3254       return Bit;
3255     }
3256     llvm_unreachable("Must have found bit mismatch.");
3257   };
3258 
3259   for (unsigned BitWidth = 1; BitWidth <= 8; ++BitWidth) {
3260     for (unsigned V0 = 0; V0 < (1u << BitWidth); ++V0) {
3261       for (unsigned V1 = 0; V1 < (1u << BitWidth); ++V1) {
3262         APInt A = APInt(BitWidth, V0);
3263         APInt B = APInt(BitWidth, V1);
3264 
3265         auto Bit = APIntOps::GetMostSignificantDifferentBit(A, B);
3266         EXPECT_EQ(Bit, GetHighestDifferentBitBruteforce(A, B));
3267 
3268         if (!Bit)
3269           EXPECT_EQ(A, B);
3270         else {
3271           EXPECT_NE(A, B);
3272           for (unsigned NumLowBits = 0; NumLowBits <= BitWidth; ++NumLowBits) {
3273             APInt Adash = A;
3274             Adash.clearLowBits(NumLowBits);
3275             APInt Bdash = B;
3276             Bdash.clearLowBits(NumLowBits);
3277             // Clearing only low bits up to and including *Bit is sufficient
3278             // to make values equal.
3279             if (NumLowBits >= 1 + *Bit)
3280               EXPECT_EQ(Adash, Bdash);
3281             else
3282               EXPECT_NE(Adash, Bdash);
3283           }
3284         }
3285       }
3286     }
3287   }
3288 }
3289 
3290 TEST(APIntTest, SignbitZeroChecks) {
3291   EXPECT_TRUE(APInt(8, -1).isNegative());
3292   EXPECT_FALSE(APInt(8, -1).isNonNegative());
3293   EXPECT_FALSE(APInt(8, -1).isStrictlyPositive());
3294   EXPECT_TRUE(APInt(8, -1).isNonPositive());
3295 
3296   EXPECT_FALSE(APInt(8, 0).isNegative());
3297   EXPECT_TRUE(APInt(8, 0).isNonNegative());
3298   EXPECT_FALSE(APInt(8, 0).isStrictlyPositive());
3299   EXPECT_TRUE(APInt(8, 0).isNonPositive());
3300 
3301   EXPECT_FALSE(APInt(8, 1).isNegative());
3302   EXPECT_TRUE(APInt(8, 1).isNonNegative());
3303   EXPECT_TRUE(APInt(8, 1).isStrictlyPositive());
3304   EXPECT_FALSE(APInt(8, 1).isNonPositive());
3305 }
3306 
3307 TEST(APIntTest, ZeroWidth) {
3308   // Zero width Constructors.
3309   auto ZW = APInt::getZeroWidth();
3310   EXPECT_EQ(0U, ZW.getBitWidth());
3311   EXPECT_EQ(0U, APInt(0, ArrayRef<uint64_t>({0, 1, 2})).getBitWidth());
3312   EXPECT_EQ(0U, APInt(0, "0", 10).getBitWidth());
3313 
3314   // Default constructor is single bit wide.
3315   EXPECT_EQ(1U, APInt().getBitWidth());
3316 
3317   // Copy ctor (move is down below).
3318   APInt ZW2(ZW);
3319   EXPECT_EQ(0U, ZW2.getBitWidth());
3320   // Assignment
3321   ZW = ZW2;
3322   EXPECT_EQ(0U, ZW.getBitWidth());
3323 
3324   // Methods like getLowBitsSet work with zero bits.
3325   EXPECT_EQ(0U, APInt::getLowBitsSet(0, 0).getBitWidth());
3326   EXPECT_EQ(0U, APInt::getSplat(0, ZW).getBitWidth());
3327   EXPECT_EQ(0U, APInt(4, 10).extractBits(0, 2).getBitWidth());
3328   EXPECT_EQ(0U, APInt(4, 10).extractBitsAsZExtValue(0, 2));
3329 
3330   // Logical operators.
3331   ZW |= ZW2;
3332   ZW &= ZW2;
3333   ZW ^= ZW2;
3334   ZW |= 42; // These ignore high bits of the literal.
3335   ZW &= 42;
3336   ZW ^= 42;
3337   EXPECT_EQ(1, ZW.isIntN(0));
3338 
3339   // Modulo Arithmetic.  Divide/Rem aren't defined on division by zero, so they
3340   // aren't supported.
3341   ZW += ZW2;
3342   ZW -= ZW2;
3343   ZW *= ZW2;
3344 
3345   // Logical Shifts and rotates, the amount must be <= bitwidth.
3346   ZW <<= 0;
3347   ZW.lshrInPlace(0);
3348   (void)ZW.rotl(0);
3349   (void)ZW.rotr(0);
3350 
3351   // Comparisons.
3352   EXPECT_EQ(1, ZW == ZW);
3353   EXPECT_EQ(0, ZW != ZW);
3354   EXPECT_EQ(0, ZW.ult(ZW));
3355 
3356   // Mutations.
3357   ZW.setBitsWithWrap(0, 0);
3358   ZW.setBits(0, 0);
3359   ZW.clearAllBits();
3360   ZW.flipAllBits();
3361 
3362   // Leading, trailing, ctpop, etc
3363   EXPECT_EQ(0U, ZW.countl_zero());
3364   EXPECT_EQ(0U, ZW.countl_one());
3365   EXPECT_EQ(0U, ZW.popcount());
3366   EXPECT_EQ(0U, ZW.reverseBits().getBitWidth());
3367   EXPECT_EQ(0U, ZW.getHiBits(0).getBitWidth());
3368   EXPECT_EQ(0U, ZW.getLoBits(0).getBitWidth());
3369   EXPECT_EQ(0, ZW.zext(4));
3370   EXPECT_EQ(0U, APInt(4, 3).trunc(0).getBitWidth());
3371   EXPECT_TRUE(ZW.isAllOnes());
3372 
3373   // Zero extension.
3374   EXPECT_EQ(0U, ZW.getZExtValue());
3375 
3376   SmallString<42> STR;
3377   ZW.toStringUnsigned(STR);
3378   EXPECT_EQ("0", STR);
3379 
3380   // Move ctor (keep at the end of the method since moves are destructive).
3381   APInt MZW1(std::move(ZW));
3382   EXPECT_EQ(0U, MZW1.getBitWidth());
3383   // Move Assignment
3384   MZW1 = std::move(ZW2);
3385   EXPECT_EQ(0U, MZW1.getBitWidth());
3386 }
3387 
3388 TEST(APIntTest, ScaleBitMask) {
3389   EXPECT_EQ(APIntOps::ScaleBitMask(APInt(2, 0x00), 8), APInt(8, 0x00));
3390   EXPECT_EQ(APIntOps::ScaleBitMask(APInt(2, 0x01), 8), APInt(8, 0x0F));
3391   EXPECT_EQ(APIntOps::ScaleBitMask(APInt(2, 0x02), 8), APInt(8, 0xF0));
3392   EXPECT_EQ(APIntOps::ScaleBitMask(APInt(2, 0x03), 8), APInt(8, 0xFF));
3393 
3394   EXPECT_EQ(APIntOps::ScaleBitMask(APInt(8, 0x00), 4), APInt(4, 0x00));
3395   EXPECT_EQ(APIntOps::ScaleBitMask(APInt(8, 0xFF), 4), APInt(4, 0x0F));
3396   EXPECT_EQ(APIntOps::ScaleBitMask(APInt(8, 0xE4), 4), APInt(4, 0x0E));
3397 
3398   EXPECT_EQ(APIntOps::ScaleBitMask(APInt(8, 0x00), 8), APInt(8, 0x00));
3399 
3400   EXPECT_EQ(APIntOps::ScaleBitMask(APInt::getZero(1024), 4096),
3401             APInt::getZero(4096));
3402   EXPECT_EQ(APIntOps::ScaleBitMask(APInt::getAllOnes(4096), 256),
3403             APInt::getAllOnes(256));
3404   EXPECT_EQ(APIntOps::ScaleBitMask(APInt::getOneBitSet(4096, 32), 256),
3405             APInt::getOneBitSet(256, 2));
3406 
3407   EXPECT_EQ(APIntOps::ScaleBitMask(APInt(2, 0x00), 8, true), APInt(8, 0x00));
3408   EXPECT_EQ(APIntOps::ScaleBitMask(APInt(2, 0x01), 8, true), APInt(8, 0x0F));
3409   EXPECT_EQ(APIntOps::ScaleBitMask(APInt(2, 0x02), 8, true), APInt(8, 0xF0));
3410   EXPECT_EQ(APIntOps::ScaleBitMask(APInt(2, 0x03), 8, true), APInt(8, 0xFF));
3411 
3412   EXPECT_EQ(APIntOps::ScaleBitMask(APInt(8, 0x00), 4, true), APInt(4, 0x00));
3413   EXPECT_EQ(APIntOps::ScaleBitMask(APInt(8, 0xFF), 4, true), APInt(4, 0x0F));
3414   EXPECT_EQ(APIntOps::ScaleBitMask(APInt(8, 0xE4), 4, true), APInt(4, 0x08));
3415 }
3416 
3417 TEST(APIntTest, DenseMap) {
3418   DenseMap<APInt, int> Map;
3419   APInt ZeroWidthInt(0, 0, false);
3420   Map.insert({ZeroWidthInt, 0});
3421   Map.find(ZeroWidthInt);
3422 }
3423 
3424 TEST(APIntTest, TryExt) {
3425   APInt small(32, 42);
3426   APInt large(128, {0xffff, 0xffff});
3427   ASSERT_TRUE(small.tryZExtValue().has_value());
3428   ASSERT_TRUE(small.trySExtValue().has_value());
3429   ASSERT_FALSE(large.tryZExtValue().has_value());
3430   ASSERT_FALSE(large.trySExtValue().has_value());
3431   ASSERT_EQ(small.trySExtValue().value_or(41), 42);
3432   ASSERT_EQ(large.trySExtValue().value_or(41), 41);
3433 
3434   APInt negOne32(32, 0);
3435   negOne32.setAllBits();
3436   ASSERT_EQ(negOne32.trySExtValue().value_or(42), -1);
3437   APInt negOne64(64, 0);
3438   negOne64.setAllBits();
3439   ASSERT_EQ(negOne64.trySExtValue().value_or(42), -1);
3440   APInt negOne128(128, 0);
3441   negOne128.setAllBits();
3442   ASSERT_EQ(negOne128.trySExtValue().value_or(42), -1);
3443   ASSERT_EQ(42, APInt(128, -1).trySExtValue().value_or(42));
3444 }
3445 
3446 } // end anonymous namespace
3447