xref: /llvm-project/llvm/unittests/ADT/APIntTest.cpp (revision aff05708916107eec73ea5db363f625926f60730)
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 <optional>
19 
20 using namespace llvm;
21 
22 namespace {
23 
24 TEST(APIntTest, ValueInit) {
25   APInt Zero = APInt();
26   EXPECT_TRUE(!Zero);
27   EXPECT_TRUE(!Zero.zext(64));
28   EXPECT_TRUE(!Zero.sext(64));
29 }
30 
31 // Test that APInt shift left works when bitwidth > 64 and shiftamt == 0
32 TEST(APIntTest, ShiftLeftByZero) {
33   APInt One = APInt::getZero(65) + 1;
34   APInt Shl = One.shl(0);
35   EXPECT_TRUE(Shl[0]);
36   EXPECT_FALSE(Shl[1]);
37 }
38 
39 TEST(APIntTest, i64_ArithmeticRightShiftNegative) {
40   const APInt neg_one(64, static_cast<uint64_t>(-1), true);
41   EXPECT_EQ(neg_one, neg_one.ashr(7));
42 }
43 
44 TEST(APIntTest, i128_NegativeCount) {
45   APInt Minus3(128, static_cast<uint64_t>(-3), true);
46   EXPECT_EQ(126u, Minus3.countl_one());
47   EXPECT_EQ(-3, Minus3.getSExtValue());
48 
49   APInt Minus1(128, static_cast<uint64_t>(-1), true);
50   EXPECT_EQ(0u, Minus1.countl_zero());
51   EXPECT_EQ(128u, Minus1.countl_one());
52   EXPECT_EQ(128u, Minus1.getActiveBits());
53   EXPECT_EQ(0u, Minus1.countr_zero());
54   EXPECT_EQ(128u, Minus1.countr_one());
55   EXPECT_EQ(128u, Minus1.popcount());
56   EXPECT_EQ(-1, Minus1.getSExtValue());
57 }
58 
59 TEST(APIntTest, i33_Count) {
60   APInt i33minus2(33, static_cast<uint64_t>(-2), true);
61   EXPECT_EQ(0u, i33minus2.countl_zero());
62   EXPECT_EQ(32u, i33minus2.countl_one());
63   EXPECT_EQ(33u, i33minus2.getActiveBits());
64   EXPECT_EQ(1u, i33minus2.countr_zero());
65   EXPECT_EQ(32u, i33minus2.popcount());
66   EXPECT_EQ(-2, i33minus2.getSExtValue());
67   EXPECT_EQ(((uint64_t)-2)&((1ull<<33) -1), i33minus2.getZExtValue());
68 }
69 
70 TEST(APIntTest, i61_Count) {
71   APInt i61(61, 1 << 15);
72   EXPECT_EQ(45u, i61.countl_zero());
73   EXPECT_EQ(0u, i61.countl_one());
74   EXPECT_EQ(16u, i61.getActiveBits());
75   EXPECT_EQ(15u, i61.countr_zero());
76   EXPECT_EQ(1u, i61.popcount());
77   EXPECT_EQ(static_cast<int64_t>(1 << 15), i61.getSExtValue());
78   EXPECT_EQ(static_cast<uint64_t>(1 << 15), i61.getZExtValue());
79 
80   i61.setBits(8, 19);
81   EXPECT_EQ(42u, i61.countl_zero());
82   EXPECT_EQ(0u, i61.countl_one());
83   EXPECT_EQ(19u, i61.getActiveBits());
84   EXPECT_EQ(8u, i61.countr_zero());
85   EXPECT_EQ(11u, i61.popcount());
86   EXPECT_EQ(static_cast<int64_t>((1 << 19) - (1 << 8)), i61.getSExtValue());
87   EXPECT_EQ(static_cast<uint64_t>((1 << 19) - (1 << 8)), i61.getZExtValue());
88 }
89 
90 TEST(APIntTest, i65_Count) {
91   APInt i65(65, 0, true);
92   EXPECT_EQ(65u, i65.countl_zero());
93   EXPECT_EQ(0u, i65.countl_one());
94   EXPECT_EQ(0u, i65.getActiveBits());
95   EXPECT_EQ(1u, i65.getActiveWords());
96   EXPECT_EQ(65u, i65.countr_zero());
97   EXPECT_EQ(0u, i65.popcount());
98 
99   APInt i65minus(65, 0, true);
100   i65minus.setBit(64);
101   EXPECT_EQ(0u, i65minus.countl_zero());
102   EXPECT_EQ(1u, i65minus.countl_one());
103   EXPECT_EQ(65u, i65minus.getActiveBits());
104   EXPECT_EQ(64u, i65minus.countr_zero());
105   EXPECT_EQ(1u, i65minus.popcount());
106 }
107 
108 TEST(APIntTest, i128_PositiveCount) {
109   APInt u128max = APInt::getAllOnes(128);
110   EXPECT_EQ(128u, u128max.countl_one());
111   EXPECT_EQ(0u, u128max.countl_zero());
112   EXPECT_EQ(128u, u128max.getActiveBits());
113   EXPECT_EQ(0u, u128max.countr_zero());
114   EXPECT_EQ(128u, u128max.countr_one());
115   EXPECT_EQ(128u, u128max.popcount());
116 
117   APInt u64max(128, static_cast<uint64_t>(-1), false);
118   EXPECT_EQ(64u, u64max.countl_zero());
119   EXPECT_EQ(0u, u64max.countl_one());
120   EXPECT_EQ(64u, u64max.getActiveBits());
121   EXPECT_EQ(0u, u64max.countr_zero());
122   EXPECT_EQ(64u, u64max.countr_one());
123   EXPECT_EQ(64u, u64max.popcount());
124   EXPECT_EQ((uint64_t)~0ull, u64max.getZExtValue());
125 
126   APInt zero(128, 0, true);
127   EXPECT_EQ(128u, zero.countl_zero());
128   EXPECT_EQ(0u, zero.countl_one());
129   EXPECT_EQ(0u, zero.getActiveBits());
130   EXPECT_EQ(128u, zero.countr_zero());
131   EXPECT_EQ(0u, zero.countr_one());
132   EXPECT_EQ(0u, zero.popcount());
133   EXPECT_EQ(0u, zero.getSExtValue());
134   EXPECT_EQ(0u, zero.getZExtValue());
135 
136   APInt one(128, 1, true);
137   EXPECT_EQ(127u, one.countl_zero());
138   EXPECT_EQ(0u, one.countl_one());
139   EXPECT_EQ(1u, one.getActiveBits());
140   EXPECT_EQ(0u, one.countr_zero());
141   EXPECT_EQ(1u, one.countr_one());
142   EXPECT_EQ(1u, one.popcount());
143   EXPECT_EQ(1, one.getSExtValue());
144   EXPECT_EQ(1u, one.getZExtValue());
145 
146   APInt s128(128, 2, true);
147   EXPECT_EQ(126u, s128.countl_zero());
148   EXPECT_EQ(0u, s128.countl_one());
149   EXPECT_EQ(2u, s128.getActiveBits());
150   EXPECT_EQ(1u, s128.countr_zero());
151   EXPECT_EQ(0u, s128.countr_one());
152   EXPECT_EQ(1u, s128.popcount());
153   EXPECT_EQ(2, s128.getSExtValue());
154   EXPECT_EQ(2u, s128.getZExtValue());
155 
156   // NOP Test
157   s128.setBits(42, 42);
158   EXPECT_EQ(126u, s128.countl_zero());
159   EXPECT_EQ(0u, s128.countl_one());
160   EXPECT_EQ(2u, s128.getActiveBits());
161   EXPECT_EQ(1u, s128.countr_zero());
162   EXPECT_EQ(0u, s128.countr_one());
163   EXPECT_EQ(1u, s128.popcount());
164   EXPECT_EQ(2, s128.getSExtValue());
165   EXPECT_EQ(2u, s128.getZExtValue());
166 
167   s128.setBits(3, 32);
168   EXPECT_EQ(96u, s128.countl_zero());
169   EXPECT_EQ(0u, s128.countl_one());
170   EXPECT_EQ(32u, s128.getActiveBits());
171   EXPECT_EQ(33u, s128.getSignificantBits());
172   EXPECT_EQ(1u, s128.countr_zero());
173   EXPECT_EQ(0u, s128.countr_one());
174   EXPECT_EQ(30u, s128.popcount());
175   EXPECT_EQ(static_cast<uint32_t>((~0u << 3) | 2), s128.getZExtValue());
176 
177   s128.setBits(62, 128);
178   EXPECT_EQ(0u, s128.countl_zero());
179   EXPECT_EQ(66u, s128.countl_one());
180   EXPECT_EQ(128u, s128.getActiveBits());
181   EXPECT_EQ(63u, s128.getSignificantBits());
182   EXPECT_EQ(1u, s128.countr_zero());
183   EXPECT_EQ(0u, s128.countr_one());
184   EXPECT_EQ(96u, s128.popcount());
185   EXPECT_EQ(static_cast<int64_t>((3ull << 62) |
186                                  static_cast<uint32_t>((~0u << 3) | 2)),
187             s128.getSExtValue());
188 }
189 
190 TEST(APIntTest, i256) {
191   APInt s256(256, 15, true);
192   EXPECT_EQ(252u, s256.countl_zero());
193   EXPECT_EQ(0u, s256.countl_one());
194   EXPECT_EQ(4u, s256.getActiveBits());
195   EXPECT_EQ(0u, s256.countr_zero());
196   EXPECT_EQ(4u, s256.countr_one());
197   EXPECT_EQ(4u, s256.popcount());
198   EXPECT_EQ(15, s256.getSExtValue());
199   EXPECT_EQ(15u, s256.getZExtValue());
200 
201   s256.setBits(62, 66);
202   EXPECT_EQ(190u, s256.countl_zero());
203   EXPECT_EQ(0u, s256.countl_one());
204   EXPECT_EQ(66u, s256.getActiveBits());
205   EXPECT_EQ(67u, s256.getSignificantBits());
206   EXPECT_EQ(0u, s256.countr_zero());
207   EXPECT_EQ(4u, s256.countr_one());
208   EXPECT_EQ(8u, s256.popcount());
209 
210   s256.setBits(60, 256);
211   EXPECT_EQ(0u, s256.countl_zero());
212   EXPECT_EQ(196u, s256.countl_one());
213   EXPECT_EQ(256u, s256.getActiveBits());
214   EXPECT_EQ(61u, s256.getSignificantBits());
215   EXPECT_EQ(0u, s256.countr_zero());
216   EXPECT_EQ(4u, s256.countr_one());
217   EXPECT_EQ(200u, s256.popcount());
218   EXPECT_EQ(static_cast<int64_t>((~0ull << 60) | 15), s256.getSExtValue());
219 }
220 
221 TEST(APIntTest, i1) {
222   const APInt neg_two(1, static_cast<uint64_t>(-2), true);
223   const APInt neg_one(1, static_cast<uint64_t>(-1), true);
224   const APInt zero(1, 0);
225   const APInt one(1, 1);
226   const APInt two(1, 2);
227 
228   EXPECT_EQ(0, neg_two.getSExtValue());
229   EXPECT_EQ(-1, neg_one.getSExtValue());
230   EXPECT_EQ(1u, neg_one.getZExtValue());
231   EXPECT_EQ(0u, zero.getZExtValue());
232   EXPECT_EQ(-1, one.getSExtValue());
233   EXPECT_EQ(1u, one.getZExtValue());
234   EXPECT_EQ(0u, two.getZExtValue());
235   EXPECT_EQ(0, two.getSExtValue());
236 
237   // Basic equalities for 1-bit values.
238   EXPECT_EQ(zero, two);
239   EXPECT_EQ(zero, neg_two);
240   EXPECT_EQ(one, neg_one);
241   EXPECT_EQ(two, neg_two);
242 
243   // Min/max signed values.
244   EXPECT_TRUE(zero.isMaxSignedValue());
245   EXPECT_FALSE(one.isMaxSignedValue());
246   EXPECT_FALSE(zero.isMinSignedValue());
247   EXPECT_TRUE(one.isMinSignedValue());
248 
249   // Additions.
250   EXPECT_EQ(two, one + one);
251   EXPECT_EQ(zero, neg_one + one);
252   EXPECT_EQ(neg_two, neg_one + neg_one);
253 
254   // Subtractions.
255   EXPECT_EQ(neg_two, neg_one - one);
256   EXPECT_EQ(two, one - neg_one);
257   EXPECT_EQ(zero, one - one);
258 
259   // And
260   EXPECT_EQ(zero, zero & zero);
261   EXPECT_EQ(zero, one & zero);
262   EXPECT_EQ(zero, zero & one);
263   EXPECT_EQ(one, one & one);
264   EXPECT_EQ(zero, zero & zero);
265   EXPECT_EQ(zero, neg_one & zero);
266   EXPECT_EQ(zero, zero & neg_one);
267   EXPECT_EQ(neg_one, neg_one & neg_one);
268 
269   // Or
270   EXPECT_EQ(zero, zero | zero);
271   EXPECT_EQ(one, one | zero);
272   EXPECT_EQ(one, zero | one);
273   EXPECT_EQ(one, one | one);
274   EXPECT_EQ(zero, zero | zero);
275   EXPECT_EQ(neg_one, neg_one | zero);
276   EXPECT_EQ(neg_one, zero | neg_one);
277   EXPECT_EQ(neg_one, neg_one | neg_one);
278 
279   // Xor
280   EXPECT_EQ(zero, zero ^ zero);
281   EXPECT_EQ(one, one ^ zero);
282   EXPECT_EQ(one, zero ^ one);
283   EXPECT_EQ(zero, one ^ one);
284   EXPECT_EQ(zero, zero ^ zero);
285   EXPECT_EQ(neg_one, neg_one ^ zero);
286   EXPECT_EQ(neg_one, zero ^ neg_one);
287   EXPECT_EQ(zero, neg_one ^ neg_one);
288 
289   // Shifts.
290   EXPECT_EQ(zero, one << one);
291   EXPECT_EQ(one, one << zero);
292   EXPECT_EQ(zero, one.shl(1));
293   EXPECT_EQ(one, one.shl(0));
294   EXPECT_EQ(zero, one.lshr(1));
295   EXPECT_EQ(one, one.ashr(1));
296 
297   // Rotates.
298   EXPECT_EQ(one, one.rotl(0));
299   EXPECT_EQ(one, one.rotl(1));
300   EXPECT_EQ(one, one.rotr(0));
301   EXPECT_EQ(one, one.rotr(1));
302 
303   // Multiplies.
304   EXPECT_EQ(neg_one, neg_one * one);
305   EXPECT_EQ(neg_one, one * neg_one);
306   EXPECT_EQ(one, neg_one * neg_one);
307   EXPECT_EQ(one, one * one);
308 
309   // Divides.
310   EXPECT_EQ(neg_one, one.sdiv(neg_one));
311   EXPECT_EQ(neg_one, neg_one.sdiv(one));
312   EXPECT_EQ(one, neg_one.sdiv(neg_one));
313   EXPECT_EQ(one, one.sdiv(one));
314 
315   EXPECT_EQ(neg_one, one.udiv(neg_one));
316   EXPECT_EQ(neg_one, neg_one.udiv(one));
317   EXPECT_EQ(one, neg_one.udiv(neg_one));
318   EXPECT_EQ(one, one.udiv(one));
319 
320   // Remainders.
321   EXPECT_EQ(zero, neg_one.srem(one));
322   EXPECT_EQ(zero, neg_one.urem(one));
323   EXPECT_EQ(zero, one.srem(neg_one));
324 
325   // sdivrem
326   {
327   APInt q(8, 0);
328   APInt r(8, 0);
329   APInt one(8, 1);
330   APInt two(8, 2);
331   APInt nine(8, 9);
332   APInt four(8, 4);
333 
334   EXPECT_EQ(nine.srem(two), one);
335   EXPECT_EQ(nine.srem(-two), one);
336   EXPECT_EQ((-nine).srem(two), -one);
337   EXPECT_EQ((-nine).srem(-two), -one);
338 
339   APInt::sdivrem(nine, two, q, r);
340   EXPECT_EQ(four, q);
341   EXPECT_EQ(one, r);
342   APInt::sdivrem(-nine, two, q, r);
343   EXPECT_EQ(-four, q);
344   EXPECT_EQ(-one, r);
345   APInt::sdivrem(nine, -two, q, r);
346   EXPECT_EQ(-four, q);
347   EXPECT_EQ(one, r);
348   APInt::sdivrem(-nine, -two, q, r);
349   EXPECT_EQ(four, q);
350   EXPECT_EQ(-one, r);
351   }
352 }
353 
354 TEST(APIntTest, compare) {
355   std::array<APInt, 5> testVals{{
356     APInt{16, 2},
357     APInt{16, 1},
358     APInt{16, 0},
359     APInt{16, (uint64_t)-1, true},
360     APInt{16, (uint64_t)-2, true},
361   }};
362 
363   for (auto &arg1 : testVals)
364     for (auto &arg2 : testVals) {
365       auto uv1 = arg1.getZExtValue();
366       auto uv2 = arg2.getZExtValue();
367       auto sv1 = arg1.getSExtValue();
368       auto sv2 = arg2.getSExtValue();
369 
370       EXPECT_EQ(uv1 <  uv2, arg1.ult(arg2));
371       EXPECT_EQ(uv1 <= uv2, arg1.ule(arg2));
372       EXPECT_EQ(uv1 >  uv2, arg1.ugt(arg2));
373       EXPECT_EQ(uv1 >= uv2, arg1.uge(arg2));
374 
375       EXPECT_EQ(sv1 <  sv2, arg1.slt(arg2));
376       EXPECT_EQ(sv1 <= sv2, arg1.sle(arg2));
377       EXPECT_EQ(sv1 >  sv2, arg1.sgt(arg2));
378       EXPECT_EQ(sv1 >= sv2, arg1.sge(arg2));
379 
380       EXPECT_EQ(uv1 <  uv2, arg1.ult(uv2));
381       EXPECT_EQ(uv1 <= uv2, arg1.ule(uv2));
382       EXPECT_EQ(uv1 >  uv2, arg1.ugt(uv2));
383       EXPECT_EQ(uv1 >= uv2, arg1.uge(uv2));
384 
385       EXPECT_EQ(sv1 <  sv2, arg1.slt(sv2));
386       EXPECT_EQ(sv1 <= sv2, arg1.sle(sv2));
387       EXPECT_EQ(sv1 >  sv2, arg1.sgt(sv2));
388       EXPECT_EQ(sv1 >= sv2, arg1.sge(sv2));
389     }
390 }
391 
392 TEST(APIntTest, compareWithRawIntegers) {
393   EXPECT_TRUE(!APInt(8, 1).uge(256));
394   EXPECT_TRUE(!APInt(8, 1).ugt(256));
395   EXPECT_TRUE( APInt(8, 1).ule(256));
396   EXPECT_TRUE( APInt(8, 1).ult(256));
397   EXPECT_TRUE(!APInt(8, 1).sge(256));
398   EXPECT_TRUE(!APInt(8, 1).sgt(256));
399   EXPECT_TRUE( APInt(8, 1).sle(256));
400   EXPECT_TRUE( APInt(8, 1).slt(256));
401   EXPECT_TRUE(!(APInt(8, 0) == 256));
402   EXPECT_TRUE(  APInt(8, 0) != 256);
403   EXPECT_TRUE(!(APInt(8, 1) == 256));
404   EXPECT_TRUE(  APInt(8, 1) != 256);
405 
406   auto uint64max = UINT64_MAX;
407   auto int64max  = INT64_MAX;
408   auto int64min  = INT64_MIN;
409 
410   auto u64 = APInt{128, uint64max};
411   auto s64 = APInt{128, static_cast<uint64_t>(int64max), true};
412   auto big = u64 + 1;
413 
414   EXPECT_TRUE( u64.uge(uint64max));
415   EXPECT_TRUE(!u64.ugt(uint64max));
416   EXPECT_TRUE( u64.ule(uint64max));
417   EXPECT_TRUE(!u64.ult(uint64max));
418   EXPECT_TRUE( u64.sge(int64max));
419   EXPECT_TRUE( u64.sgt(int64max));
420   EXPECT_TRUE(!u64.sle(int64max));
421   EXPECT_TRUE(!u64.slt(int64max));
422   EXPECT_TRUE( u64.sge(int64min));
423   EXPECT_TRUE( u64.sgt(int64min));
424   EXPECT_TRUE(!u64.sle(int64min));
425   EXPECT_TRUE(!u64.slt(int64min));
426 
427   EXPECT_TRUE(u64 == uint64max);
428   EXPECT_TRUE(u64 != int64max);
429   EXPECT_TRUE(u64 != int64min);
430 
431   EXPECT_TRUE(!s64.uge(uint64max));
432   EXPECT_TRUE(!s64.ugt(uint64max));
433   EXPECT_TRUE( s64.ule(uint64max));
434   EXPECT_TRUE( s64.ult(uint64max));
435   EXPECT_TRUE( s64.sge(int64max));
436   EXPECT_TRUE(!s64.sgt(int64max));
437   EXPECT_TRUE( s64.sle(int64max));
438   EXPECT_TRUE(!s64.slt(int64max));
439   EXPECT_TRUE( s64.sge(int64min));
440   EXPECT_TRUE( s64.sgt(int64min));
441   EXPECT_TRUE(!s64.sle(int64min));
442   EXPECT_TRUE(!s64.slt(int64min));
443 
444   EXPECT_TRUE(s64 != uint64max);
445   EXPECT_TRUE(s64 == int64max);
446   EXPECT_TRUE(s64 != int64min);
447 
448   EXPECT_TRUE( big.uge(uint64max));
449   EXPECT_TRUE( big.ugt(uint64max));
450   EXPECT_TRUE(!big.ule(uint64max));
451   EXPECT_TRUE(!big.ult(uint64max));
452   EXPECT_TRUE( big.sge(int64max));
453   EXPECT_TRUE( big.sgt(int64max));
454   EXPECT_TRUE(!big.sle(int64max));
455   EXPECT_TRUE(!big.slt(int64max));
456   EXPECT_TRUE( big.sge(int64min));
457   EXPECT_TRUE( big.sgt(int64min));
458   EXPECT_TRUE(!big.sle(int64min));
459   EXPECT_TRUE(!big.slt(int64min));
460 
461   EXPECT_TRUE(big != uint64max);
462   EXPECT_TRUE(big != int64max);
463   EXPECT_TRUE(big != int64min);
464 }
465 
466 TEST(APIntTest, compareWithInt64Min) {
467   int64_t edge = INT64_MIN;
468   int64_t edgeP1 = edge + 1;
469   int64_t edgeM1 = INT64_MAX;
470   auto a = APInt{64, static_cast<uint64_t>(edge), true};
471 
472   EXPECT_TRUE(!a.slt(edge));
473   EXPECT_TRUE( a.sle(edge));
474   EXPECT_TRUE(!a.sgt(edge));
475   EXPECT_TRUE( a.sge(edge));
476   EXPECT_TRUE( a.slt(edgeP1));
477   EXPECT_TRUE( a.sle(edgeP1));
478   EXPECT_TRUE(!a.sgt(edgeP1));
479   EXPECT_TRUE(!a.sge(edgeP1));
480   EXPECT_TRUE( a.slt(edgeM1));
481   EXPECT_TRUE( a.sle(edgeM1));
482   EXPECT_TRUE(!a.sgt(edgeM1));
483   EXPECT_TRUE(!a.sge(edgeM1));
484 }
485 
486 TEST(APIntTest, compareWithHalfInt64Max) {
487   uint64_t edge = 0x4000000000000000;
488   uint64_t edgeP1 = edge + 1;
489   uint64_t edgeM1 = edge - 1;
490   auto a = APInt{64, edge};
491 
492   EXPECT_TRUE(!a.ult(edge));
493   EXPECT_TRUE( a.ule(edge));
494   EXPECT_TRUE(!a.ugt(edge));
495   EXPECT_TRUE( a.uge(edge));
496   EXPECT_TRUE( a.ult(edgeP1));
497   EXPECT_TRUE( a.ule(edgeP1));
498   EXPECT_TRUE(!a.ugt(edgeP1));
499   EXPECT_TRUE(!a.uge(edgeP1));
500   EXPECT_TRUE(!a.ult(edgeM1));
501   EXPECT_TRUE(!a.ule(edgeM1));
502   EXPECT_TRUE( a.ugt(edgeM1));
503   EXPECT_TRUE( a.uge(edgeM1));
504 
505   EXPECT_TRUE(!a.slt(edge));
506   EXPECT_TRUE( a.sle(edge));
507   EXPECT_TRUE(!a.sgt(edge));
508   EXPECT_TRUE( a.sge(edge));
509   EXPECT_TRUE( a.slt(edgeP1));
510   EXPECT_TRUE( a.sle(edgeP1));
511   EXPECT_TRUE(!a.sgt(edgeP1));
512   EXPECT_TRUE(!a.sge(edgeP1));
513   EXPECT_TRUE(!a.slt(edgeM1));
514   EXPECT_TRUE(!a.sle(edgeM1));
515   EXPECT_TRUE( a.sgt(edgeM1));
516   EXPECT_TRUE( a.sge(edgeM1));
517 }
518 
519 TEST(APIntTest, compareLargeIntegers) {
520   // Make sure all the combinations of signed comparisons work with big ints.
521   auto One = APInt{128, static_cast<uint64_t>(1), true};
522   auto Two = APInt{128, static_cast<uint64_t>(2), true};
523   auto MinusOne = APInt{128, static_cast<uint64_t>(-1), true};
524   auto MinusTwo = APInt{128, static_cast<uint64_t>(-2), true};
525 
526   EXPECT_TRUE(!One.slt(One));
527   EXPECT_TRUE(!Two.slt(One));
528   EXPECT_TRUE(MinusOne.slt(One));
529   EXPECT_TRUE(MinusTwo.slt(One));
530 
531   EXPECT_TRUE(One.slt(Two));
532   EXPECT_TRUE(!Two.slt(Two));
533   EXPECT_TRUE(MinusOne.slt(Two));
534   EXPECT_TRUE(MinusTwo.slt(Two));
535 
536   EXPECT_TRUE(!One.slt(MinusOne));
537   EXPECT_TRUE(!Two.slt(MinusOne));
538   EXPECT_TRUE(!MinusOne.slt(MinusOne));
539   EXPECT_TRUE(MinusTwo.slt(MinusOne));
540 
541   EXPECT_TRUE(!One.slt(MinusTwo));
542   EXPECT_TRUE(!Two.slt(MinusTwo));
543   EXPECT_TRUE(!MinusOne.slt(MinusTwo));
544   EXPECT_TRUE(!MinusTwo.slt(MinusTwo));
545 }
546 
547 TEST(APIntTest, binaryOpsWithRawIntegers) {
548   // Single word check.
549   uint64_t E1 = 0x2CA7F46BF6569915ULL;
550   APInt A1(64, E1);
551 
552   EXPECT_EQ(A1 & E1, E1);
553   EXPECT_EQ(A1 & 0, 0);
554   EXPECT_EQ(A1 & 1, 1);
555   EXPECT_EQ(A1 & 5, 5);
556   EXPECT_EQ(A1 & UINT64_MAX, E1);
557 
558   EXPECT_EQ(A1 | E1, E1);
559   EXPECT_EQ(A1 | 0, E1);
560   EXPECT_EQ(A1 | 1, E1);
561   EXPECT_EQ(A1 | 2, E1 | 2);
562   EXPECT_EQ(A1 | UINT64_MAX, UINT64_MAX);
563 
564   EXPECT_EQ(A1 ^ E1, 0);
565   EXPECT_EQ(A1 ^ 0, E1);
566   EXPECT_EQ(A1 ^ 1, E1 ^ 1);
567   EXPECT_EQ(A1 ^ 7, E1 ^ 7);
568   EXPECT_EQ(A1 ^ UINT64_MAX, ~E1);
569 
570   // Multiword check.
571   uint64_t N = 0xEB6EB136591CBA21ULL;
572   APInt::WordType E2[4] = {
573     N,
574     0x7B9358BD6A33F10AULL,
575     0x7E7FFA5EADD8846ULL,
576     0x305F341CA00B613DULL
577   };
578   APInt A2(APInt::APINT_BITS_PER_WORD*4, E2);
579 
580   EXPECT_EQ(A2 & N, N);
581   EXPECT_EQ(A2 & 0, 0);
582   EXPECT_EQ(A2 & 1, 1);
583   EXPECT_EQ(A2 & 5, 1);
584   EXPECT_EQ(A2 & UINT64_MAX, N);
585 
586   EXPECT_EQ(A2 | N, A2);
587   EXPECT_EQ(A2 | 0, A2);
588   EXPECT_EQ(A2 | 1, A2);
589   EXPECT_EQ(A2 | 2, A2 + 2);
590   EXPECT_EQ(A2 | UINT64_MAX, A2 - N + UINT64_MAX);
591 
592   EXPECT_EQ(A2 ^ N, A2 - N);
593   EXPECT_EQ(A2 ^ 0, A2);
594   EXPECT_EQ(A2 ^ 1, A2 - 1);
595   EXPECT_EQ(A2 ^ 7, A2 + 5);
596   EXPECT_EQ(A2 ^ UINT64_MAX, A2 - N + ~N);
597 }
598 
599 TEST(APIntTest, rvalue_arithmetic) {
600   // Test all combinations of lvalue/rvalue lhs/rhs of add/sub
601 
602   // Lamdba to return an APInt by value, but also provide the raw value of the
603   // allocated data.
604   auto getRValue = [](const char *HexString, uint64_t const *&RawData) {
605     APInt V(129, HexString, 16);
606     RawData = V.getRawData();
607     return V;
608   };
609 
610   APInt One(129, "1", 16);
611   APInt Two(129, "2", 16);
612   APInt Three(129, "3", 16);
613   APInt MinusOne = -One;
614 
615   const uint64_t *RawDataL = nullptr;
616   const uint64_t *RawDataR = nullptr;
617 
618   {
619     // 1 + 1 = 2
620     APInt AddLL = One + One;
621     EXPECT_EQ(AddLL, Two);
622 
623     APInt AddLR = One + getRValue("1", RawDataR);
624     EXPECT_EQ(AddLR, Two);
625     EXPECT_EQ(AddLR.getRawData(), RawDataR);
626 
627     APInt AddRL = getRValue("1", RawDataL) + One;
628     EXPECT_EQ(AddRL, Two);
629     EXPECT_EQ(AddRL.getRawData(), RawDataL);
630 
631     APInt AddRR = getRValue("1", RawDataL) + getRValue("1", RawDataR);
632     EXPECT_EQ(AddRR, Two);
633     EXPECT_EQ(AddRR.getRawData(), RawDataR);
634 
635     // LValue's and constants
636     APInt AddLK = One + 1;
637     EXPECT_EQ(AddLK, Two);
638 
639     APInt AddKL = 1 + One;
640     EXPECT_EQ(AddKL, Two);
641 
642     // RValue's and constants
643     APInt AddRK = getRValue("1", RawDataL) + 1;
644     EXPECT_EQ(AddRK, Two);
645     EXPECT_EQ(AddRK.getRawData(), RawDataL);
646 
647     APInt AddKR = 1 + getRValue("1", RawDataR);
648     EXPECT_EQ(AddKR, Two);
649     EXPECT_EQ(AddKR.getRawData(), RawDataR);
650   }
651 
652   {
653     // 0x0,FFFF...FFFF + 0x2 = 0x100...0001
654     APInt AllOnes(129, "0FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF", 16);
655     APInt HighOneLowOne(129, "100000000000000000000000000000001", 16);
656 
657     APInt AddLL = AllOnes + Two;
658     EXPECT_EQ(AddLL, HighOneLowOne);
659 
660     APInt AddLR = AllOnes + getRValue("2", RawDataR);
661     EXPECT_EQ(AddLR, HighOneLowOne);
662     EXPECT_EQ(AddLR.getRawData(), RawDataR);
663 
664     APInt AddRL = getRValue("FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF", RawDataL) + Two;
665     EXPECT_EQ(AddRL, HighOneLowOne);
666     EXPECT_EQ(AddRL.getRawData(), RawDataL);
667 
668     APInt AddRR = getRValue("FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF", RawDataL) +
669                   getRValue("2", RawDataR);
670     EXPECT_EQ(AddRR, HighOneLowOne);
671     EXPECT_EQ(AddRR.getRawData(), RawDataR);
672 
673     // LValue's and constants
674     APInt AddLK = AllOnes + 2;
675     EXPECT_EQ(AddLK, HighOneLowOne);
676 
677     APInt AddKL = 2 + AllOnes;
678     EXPECT_EQ(AddKL, HighOneLowOne);
679 
680     // RValue's and constants
681     APInt AddRK = getRValue("FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF", RawDataL) + 2;
682     EXPECT_EQ(AddRK, HighOneLowOne);
683     EXPECT_EQ(AddRK.getRawData(), RawDataL);
684 
685     APInt AddKR = 2 + getRValue("FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF", RawDataR);
686     EXPECT_EQ(AddKR, HighOneLowOne);
687     EXPECT_EQ(AddKR.getRawData(), RawDataR);
688   }
689 
690   {
691     // 2 - 1 = 1
692     APInt SubLL = Two - One;
693     EXPECT_EQ(SubLL, One);
694 
695     APInt SubLR = Two - getRValue("1", RawDataR);
696     EXPECT_EQ(SubLR, One);
697     EXPECT_EQ(SubLR.getRawData(), RawDataR);
698 
699     APInt SubRL = getRValue("2", RawDataL) - One;
700     EXPECT_EQ(SubRL, One);
701     EXPECT_EQ(SubRL.getRawData(), RawDataL);
702 
703     APInt SubRR = getRValue("2", RawDataL) - getRValue("1", RawDataR);
704     EXPECT_EQ(SubRR, One);
705     EXPECT_EQ(SubRR.getRawData(), RawDataR);
706 
707     // LValue's and constants
708     APInt SubLK = Two - 1;
709     EXPECT_EQ(SubLK, One);
710 
711     APInt SubKL = 2 - One;
712     EXPECT_EQ(SubKL, One);
713 
714     // RValue's and constants
715     APInt SubRK = getRValue("2", RawDataL) - 1;
716     EXPECT_EQ(SubRK, One);
717     EXPECT_EQ(SubRK.getRawData(), RawDataL);
718 
719     APInt SubKR = 2 - getRValue("1", RawDataR);
720     EXPECT_EQ(SubKR, One);
721     EXPECT_EQ(SubKR.getRawData(), RawDataR);
722   }
723 
724   {
725     // 0x100...0001 - 0x0,FFFF...FFFF = 0x2
726     APInt AllOnes(129, "0FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF", 16);
727     APInt HighOneLowOne(129, "100000000000000000000000000000001", 16);
728 
729     APInt SubLL = HighOneLowOne - AllOnes;
730     EXPECT_EQ(SubLL, Two);
731 
732     APInt SubLR = HighOneLowOne -
733                   getRValue("0FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF", RawDataR);
734     EXPECT_EQ(SubLR, Two);
735     EXPECT_EQ(SubLR.getRawData(), RawDataR);
736 
737     APInt SubRL = getRValue("100000000000000000000000000000001", RawDataL) -
738                   AllOnes;
739     EXPECT_EQ(SubRL, Two);
740     EXPECT_EQ(SubRL.getRawData(), RawDataL);
741 
742     APInt SubRR = getRValue("100000000000000000000000000000001", RawDataL) -
743                   getRValue("0FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF", RawDataR);
744     EXPECT_EQ(SubRR, Two);
745     EXPECT_EQ(SubRR.getRawData(), RawDataR);
746 
747     // LValue's and constants
748     // 0x100...0001 - 0x2 = 0x0,FFFF...FFFF
749     APInt SubLK = HighOneLowOne - 2;
750     EXPECT_EQ(SubLK, AllOnes);
751 
752     // 2 - (-1) = 3
753     APInt SubKL = 2 - MinusOne;
754     EXPECT_EQ(SubKL, Three);
755 
756     // RValue's and constants
757     // 0x100...0001 - 0x2 = 0x0,FFFF...FFFF
758     APInt SubRK = getRValue("100000000000000000000000000000001", RawDataL) - 2;
759     EXPECT_EQ(SubRK, AllOnes);
760     EXPECT_EQ(SubRK.getRawData(), RawDataL);
761 
762     APInt SubKR = 2 - getRValue("1FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF", RawDataR);
763     EXPECT_EQ(SubKR, Three);
764     EXPECT_EQ(SubKR.getRawData(), RawDataR);
765   }
766 }
767 
768 TEST(APIntTest, rvalue_bitwise) {
769   // Test all combinations of lvalue/rvalue lhs/rhs of and/or/xor
770 
771   // Lamdba to return an APInt by value, but also provide the raw value of the
772   // allocated data.
773   auto getRValue = [](const char *HexString, uint64_t const *&RawData) {
774     APInt V(129, HexString, 16);
775     RawData = V.getRawData();
776     return V;
777   };
778 
779   APInt Ten(129, "A", 16);
780   APInt Twelve(129, "C", 16);
781 
782   const uint64_t *RawDataL = nullptr;
783   const uint64_t *RawDataR = nullptr;
784 
785   {
786     // 12 & 10 = 8
787     APInt AndLL = Ten & Twelve;
788     EXPECT_EQ(AndLL, 0x8);
789 
790     APInt AndLR = Ten & getRValue("C", RawDataR);
791     EXPECT_EQ(AndLR, 0x8);
792     EXPECT_EQ(AndLR.getRawData(), RawDataR);
793 
794     APInt AndRL = getRValue("A", RawDataL) & Twelve;
795     EXPECT_EQ(AndRL, 0x8);
796     EXPECT_EQ(AndRL.getRawData(), RawDataL);
797 
798     APInt AndRR = getRValue("A", RawDataL) & getRValue("C", RawDataR);
799     EXPECT_EQ(AndRR, 0x8);
800     EXPECT_EQ(AndRR.getRawData(), RawDataR);
801 
802     // LValue's and constants
803     APInt AndLK = Ten & 0xc;
804     EXPECT_EQ(AndLK, 0x8);
805 
806     APInt AndKL = 0xa & Twelve;
807     EXPECT_EQ(AndKL, 0x8);
808 
809     // RValue's and constants
810     APInt AndRK = getRValue("A", RawDataL) & 0xc;
811     EXPECT_EQ(AndRK, 0x8);
812     EXPECT_EQ(AndRK.getRawData(), RawDataL);
813 
814     APInt AndKR = 0xa & getRValue("C", RawDataR);
815     EXPECT_EQ(AndKR, 0x8);
816     EXPECT_EQ(AndKR.getRawData(), RawDataR);
817   }
818 
819   {
820     // 12 | 10 = 14
821     APInt OrLL = Ten | Twelve;
822     EXPECT_EQ(OrLL, 0xe);
823 
824     APInt OrLR = Ten | getRValue("C", RawDataR);
825     EXPECT_EQ(OrLR, 0xe);
826     EXPECT_EQ(OrLR.getRawData(), RawDataR);
827 
828     APInt OrRL = getRValue("A", RawDataL) | Twelve;
829     EXPECT_EQ(OrRL, 0xe);
830     EXPECT_EQ(OrRL.getRawData(), RawDataL);
831 
832     APInt OrRR = getRValue("A", RawDataL) | getRValue("C", RawDataR);
833     EXPECT_EQ(OrRR, 0xe);
834     EXPECT_EQ(OrRR.getRawData(), RawDataR);
835 
836     // LValue's and constants
837     APInt OrLK = Ten | 0xc;
838     EXPECT_EQ(OrLK, 0xe);
839 
840     APInt OrKL = 0xa | Twelve;
841     EXPECT_EQ(OrKL, 0xe);
842 
843     // RValue's and constants
844     APInt OrRK = getRValue("A", RawDataL) | 0xc;
845     EXPECT_EQ(OrRK, 0xe);
846     EXPECT_EQ(OrRK.getRawData(), RawDataL);
847 
848     APInt OrKR = 0xa | getRValue("C", RawDataR);
849     EXPECT_EQ(OrKR, 0xe);
850     EXPECT_EQ(OrKR.getRawData(), RawDataR);
851   }
852 
853   {
854     // 12 ^ 10 = 6
855     APInt XorLL = Ten ^ Twelve;
856     EXPECT_EQ(XorLL, 0x6);
857 
858     APInt XorLR = Ten ^ getRValue("C", RawDataR);
859     EXPECT_EQ(XorLR, 0x6);
860     EXPECT_EQ(XorLR.getRawData(), RawDataR);
861 
862     APInt XorRL = getRValue("A", RawDataL) ^ Twelve;
863     EXPECT_EQ(XorRL, 0x6);
864     EXPECT_EQ(XorRL.getRawData(), RawDataL);
865 
866     APInt XorRR = getRValue("A", RawDataL) ^ getRValue("C", RawDataR);
867     EXPECT_EQ(XorRR, 0x6);
868     EXPECT_EQ(XorRR.getRawData(), RawDataR);
869 
870     // LValue's and constants
871     APInt XorLK = Ten ^ 0xc;
872     EXPECT_EQ(XorLK, 0x6);
873 
874     APInt XorKL = 0xa ^ Twelve;
875     EXPECT_EQ(XorKL, 0x6);
876 
877     // RValue's and constants
878     APInt XorRK = getRValue("A", RawDataL) ^ 0xc;
879     EXPECT_EQ(XorRK, 0x6);
880     EXPECT_EQ(XorRK.getRawData(), RawDataL);
881 
882     APInt XorKR = 0xa ^ getRValue("C", RawDataR);
883     EXPECT_EQ(XorKR, 0x6);
884     EXPECT_EQ(XorKR.getRawData(), RawDataR);
885   }
886 }
887 
888 TEST(APIntTest, rvalue_invert) {
889   // Lamdba to return an APInt by value, but also provide the raw value of the
890   // allocated data.
891   auto getRValue = [](const char *HexString, uint64_t const *&RawData) {
892     APInt V(129, HexString, 16);
893     RawData = V.getRawData();
894     return V;
895   };
896 
897   APInt One(129, 1);
898   APInt NegativeTwo(129, -2ULL, true);
899 
900   const uint64_t *RawData = nullptr;
901 
902   {
903     // ~1 = -2
904     APInt NegL = ~One;
905     EXPECT_EQ(NegL, NegativeTwo);
906 
907     APInt NegR = ~getRValue("1", RawData);
908     EXPECT_EQ(NegR, NegativeTwo);
909     EXPECT_EQ(NegR.getRawData(), RawData);
910   }
911 }
912 
913 // Tests different div/rem varaints using scheme (a * b + c) / a
914 void testDiv(APInt a, APInt b, APInt c) {
915   ASSERT_TRUE(a.uge(b)); // Must: a >= b
916   ASSERT_TRUE(a.ugt(c)); // Must: a > c
917 
918   auto p = a * b + c;
919 
920   auto q = p.udiv(a);
921   auto r = p.urem(a);
922   EXPECT_EQ(b, q);
923   EXPECT_EQ(c, r);
924   APInt::udivrem(p, a, q, r);
925   EXPECT_EQ(b, q);
926   EXPECT_EQ(c, r);
927   q = p.sdiv(a);
928   r = p.srem(a);
929   EXPECT_EQ(b, q);
930   EXPECT_EQ(c, r);
931   APInt::sdivrem(p, a, q, r);
932   EXPECT_EQ(b, q);
933   EXPECT_EQ(c, r);
934 
935   if (b.ugt(c)) { // Test also symmetric case
936     q = p.udiv(b);
937     r = p.urem(b);
938     EXPECT_EQ(a, q);
939     EXPECT_EQ(c, r);
940     APInt::udivrem(p, b, q, r);
941     EXPECT_EQ(a, q);
942     EXPECT_EQ(c, r);
943     q = p.sdiv(b);
944     r = p.srem(b);
945     EXPECT_EQ(a, q);
946     EXPECT_EQ(c, r);
947     APInt::sdivrem(p, b, q, r);
948     EXPECT_EQ(a, q);
949     EXPECT_EQ(c, r);
950   }
951 }
952 
953 TEST(APIntTest, divrem_big1) {
954   // Tests KnuthDiv rare step D6
955   testDiv({256, "1ffffffffffffffff", 16},
956           {256, "1ffffffffffffffff", 16},
957           {256, 0});
958 }
959 
960 TEST(APIntTest, divrem_big2) {
961   // Tests KnuthDiv rare step D6
962   testDiv({1024,                       "112233ceff"
963                  "cecece000000ffffffffffffffffffff"
964                  "ffffffffffffffffffffffffffffffff"
965                  "ffffffffffffffffffffffffffffffff"
966                  "ffffffffffffffffffffffffffffff33", 16},
967           {1024,           "111111ffffffffffffffff"
968                  "ffffffffffffffffffffffffffffffff"
969                  "fffffffffffffffffffffffffffffccf"
970                  "ffffffffffffffffffffffffffffff00", 16},
971           {1024, 7919});
972 }
973 
974 TEST(APIntTest, divrem_big3) {
975   // Tests KnuthDiv case without shift
976   testDiv({256, "80000001ffffffffffffffff", 16},
977           {256, "ffffffffffffff0000000", 16},
978           {256, 4219});
979 }
980 
981 TEST(APIntTest, divrem_big4) {
982   // Tests heap allocation in divide() enfoced by huge numbers
983   testDiv(APInt{4096, 5}.shl(2001),
984           APInt{4096, 1}.shl(2000),
985           APInt{4096, 4219*13});
986 }
987 
988 TEST(APIntTest, divrem_big5) {
989   // Tests one word divisor case of divide()
990   testDiv(APInt{1024, 19}.shl(811),
991           APInt{1024, 4356013}, // one word
992           APInt{1024, 1});
993 }
994 
995 TEST(APIntTest, divrem_big6) {
996   // Tests some rare "borrow" cases in D4 step
997   testDiv(APInt{512, "ffffffffffffffff00000000000000000000000001", 16},
998           APInt{512, "10000000000000001000000000000001", 16},
999           APInt{512, "10000000000000000000000000000000", 16});
1000 }
1001 
1002 TEST(APIntTest, divrem_big7) {
1003   // Yet another test for KnuthDiv rare step D6.
1004   testDiv({224, "800000008000000200000005", 16},
1005           {224, "fffffffd", 16},
1006           {224, "80000000800000010000000f", 16});
1007 }
1008 
1009 void testDiv(APInt a, uint64_t b, APInt c) {
1010   auto p = a * b + c;
1011 
1012   APInt q;
1013   uint64_t r;
1014   // Unsigned division will only work if our original number wasn't negative.
1015   if (!a.isNegative()) {
1016     q = p.udiv(b);
1017     r = p.urem(b);
1018     EXPECT_EQ(a, q);
1019     EXPECT_EQ(c, r);
1020     APInt::udivrem(p, b, q, r);
1021     EXPECT_EQ(a, q);
1022     EXPECT_EQ(c, r);
1023   }
1024   q = p.sdiv(b);
1025   r = p.srem(b);
1026   EXPECT_EQ(a, q);
1027   if (c.isNegative())
1028     EXPECT_EQ(-c, -r); // Need to negate so the uint64_t compare will work.
1029   else
1030     EXPECT_EQ(c, r);
1031   int64_t sr;
1032   APInt::sdivrem(p, b, q, sr);
1033   EXPECT_EQ(a, q);
1034   if (c.isNegative())
1035     EXPECT_EQ(-c, -sr); // Need to negate so the uint64_t compare will work.
1036   else
1037     EXPECT_EQ(c, sr);
1038 }
1039 
1040 TEST(APIntTest, divremuint) {
1041   // Single word APInt
1042   testDiv(APInt{64, 9},
1043           2,
1044           APInt{64, 1});
1045 
1046   // Single word negative APInt
1047   testDiv(-APInt{64, 9},
1048           2,
1049           -APInt{64, 1});
1050 
1051   // Multiword dividend with only one significant word.
1052   testDiv(APInt{256, 9},
1053           2,
1054           APInt{256, 1});
1055 
1056   // Negative dividend.
1057   testDiv(-APInt{256, 9},
1058           2,
1059           -APInt{256, 1});
1060 
1061   // Multiword dividend
1062   testDiv(APInt{1024, 19}.shl(811),
1063           4356013, // one word
1064           APInt{1024, 1});
1065 }
1066 
1067 TEST(APIntTest, divrem_simple) {
1068   // Test simple cases.
1069   APInt A(65, 2), B(65, 2);
1070   APInt Q, R;
1071 
1072   // X / X
1073   APInt::sdivrem(A, B, Q, R);
1074   EXPECT_EQ(Q, APInt(65, 1));
1075   EXPECT_EQ(R, APInt(65, 0));
1076   APInt::udivrem(A, B, Q, R);
1077   EXPECT_EQ(Q, APInt(65, 1));
1078   EXPECT_EQ(R, APInt(65, 0));
1079 
1080   // 0 / X
1081   APInt O(65, 0);
1082   APInt::sdivrem(O, B, Q, R);
1083   EXPECT_EQ(Q, APInt(65, 0));
1084   EXPECT_EQ(R, APInt(65, 0));
1085   APInt::udivrem(O, B, Q, R);
1086   EXPECT_EQ(Q, APInt(65, 0));
1087   EXPECT_EQ(R, APInt(65, 0));
1088 
1089   // X / 1
1090   APInt I(65, 1);
1091   APInt::sdivrem(A, I, Q, R);
1092   EXPECT_EQ(Q, A);
1093   EXPECT_EQ(R, APInt(65, 0));
1094   APInt::udivrem(A, I, Q, R);
1095   EXPECT_EQ(Q, A);
1096   EXPECT_EQ(R, APInt(65, 0));
1097 }
1098 
1099 TEST(APIntTest, fromString) {
1100   EXPECT_EQ(APInt(32, 0), APInt(32,   "0", 2));
1101   EXPECT_EQ(APInt(32, 1), APInt(32,   "1", 2));
1102   EXPECT_EQ(APInt(32, 2), APInt(32,  "10", 2));
1103   EXPECT_EQ(APInt(32, 3), APInt(32,  "11", 2));
1104   EXPECT_EQ(APInt(32, 4), APInt(32, "100", 2));
1105 
1106   EXPECT_EQ(APInt(32, 0), APInt(32,   "+0", 2));
1107   EXPECT_EQ(APInt(32, 1), APInt(32,   "+1", 2));
1108   EXPECT_EQ(APInt(32, 2), APInt(32,  "+10", 2));
1109   EXPECT_EQ(APInt(32, 3), APInt(32,  "+11", 2));
1110   EXPECT_EQ(APInt(32, 4), APInt(32, "+100", 2));
1111 
1112   EXPECT_EQ(APInt(32, uint64_t(-0LL)), APInt(32,   "-0", 2));
1113   EXPECT_EQ(APInt(32, uint64_t(-1LL)), APInt(32,   "-1", 2));
1114   EXPECT_EQ(APInt(32, uint64_t(-2LL)), APInt(32,  "-10", 2));
1115   EXPECT_EQ(APInt(32, uint64_t(-3LL)), APInt(32,  "-11", 2));
1116   EXPECT_EQ(APInt(32, uint64_t(-4LL)), APInt(32, "-100", 2));
1117 
1118   EXPECT_EQ(APInt(32,  0), APInt(32,  "0",  8));
1119   EXPECT_EQ(APInt(32,  1), APInt(32,  "1",  8));
1120   EXPECT_EQ(APInt(32,  7), APInt(32,  "7",  8));
1121   EXPECT_EQ(APInt(32,  8), APInt(32,  "10", 8));
1122   EXPECT_EQ(APInt(32, 15), APInt(32,  "17", 8));
1123   EXPECT_EQ(APInt(32, 16), APInt(32,  "20", 8));
1124 
1125   EXPECT_EQ(APInt(32,  +0), APInt(32,  "+0",  8));
1126   EXPECT_EQ(APInt(32,  +1), APInt(32,  "+1",  8));
1127   EXPECT_EQ(APInt(32,  +7), APInt(32,  "+7",  8));
1128   EXPECT_EQ(APInt(32,  +8), APInt(32,  "+10", 8));
1129   EXPECT_EQ(APInt(32, +15), APInt(32,  "+17", 8));
1130   EXPECT_EQ(APInt(32, +16), APInt(32,  "+20", 8));
1131 
1132   EXPECT_EQ(APInt(32,  uint64_t(-0LL)), APInt(32,  "-0",  8));
1133   EXPECT_EQ(APInt(32,  uint64_t(-1LL)), APInt(32,  "-1",  8));
1134   EXPECT_EQ(APInt(32,  uint64_t(-7LL)), APInt(32,  "-7",  8));
1135   EXPECT_EQ(APInt(32,  uint64_t(-8LL)), APInt(32,  "-10", 8));
1136   EXPECT_EQ(APInt(32, uint64_t(-15LL)), APInt(32,  "-17", 8));
1137   EXPECT_EQ(APInt(32, uint64_t(-16LL)), APInt(32,  "-20", 8));
1138 
1139   EXPECT_EQ(APInt(32,  0), APInt(32,  "0", 10));
1140   EXPECT_EQ(APInt(32,  1), APInt(32,  "1", 10));
1141   EXPECT_EQ(APInt(32,  9), APInt(32,  "9", 10));
1142   EXPECT_EQ(APInt(32, 10), APInt(32, "10", 10));
1143   EXPECT_EQ(APInt(32, 19), APInt(32, "19", 10));
1144   EXPECT_EQ(APInt(32, 20), APInt(32, "20", 10));
1145 
1146   EXPECT_EQ(APInt(32,  uint64_t(-0LL)), APInt(32,  "-0", 10));
1147   EXPECT_EQ(APInt(32,  uint64_t(-1LL)), APInt(32,  "-1", 10));
1148   EXPECT_EQ(APInt(32,  uint64_t(-9LL)), APInt(32,  "-9", 10));
1149   EXPECT_EQ(APInt(32, uint64_t(-10LL)), APInt(32, "-10", 10));
1150   EXPECT_EQ(APInt(32, uint64_t(-19LL)), APInt(32, "-19", 10));
1151   EXPECT_EQ(APInt(32, uint64_t(-20LL)), APInt(32, "-20", 10));
1152 
1153   EXPECT_EQ(APInt(32,  0), APInt(32,  "0", 16));
1154   EXPECT_EQ(APInt(32,  1), APInt(32,  "1", 16));
1155   EXPECT_EQ(APInt(32, 15), APInt(32,  "F", 16));
1156   EXPECT_EQ(APInt(32, 16), APInt(32, "10", 16));
1157   EXPECT_EQ(APInt(32, 31), APInt(32, "1F", 16));
1158   EXPECT_EQ(APInt(32, 32), APInt(32, "20", 16));
1159 
1160   EXPECT_EQ(APInt(32,  uint64_t(-0LL)), APInt(32,  "-0", 16));
1161   EXPECT_EQ(APInt(32,  uint64_t(-1LL)), APInt(32,  "-1", 16));
1162   EXPECT_EQ(APInt(32, uint64_t(-15LL)), APInt(32,  "-F", 16));
1163   EXPECT_EQ(APInt(32, uint64_t(-16LL)), APInt(32, "-10", 16));
1164   EXPECT_EQ(APInt(32, uint64_t(-31LL)), APInt(32, "-1F", 16));
1165   EXPECT_EQ(APInt(32, uint64_t(-32LL)), APInt(32, "-20", 16));
1166 
1167   EXPECT_EQ(APInt(32,  0), APInt(32,  "0", 36));
1168   EXPECT_EQ(APInt(32,  1), APInt(32,  "1", 36));
1169   EXPECT_EQ(APInt(32, 35), APInt(32,  "Z", 36));
1170   EXPECT_EQ(APInt(32, 36), APInt(32, "10", 36));
1171   EXPECT_EQ(APInt(32, 71), APInt(32, "1Z", 36));
1172   EXPECT_EQ(APInt(32, 72), APInt(32, "20", 36));
1173 
1174   EXPECT_EQ(APInt(32,  uint64_t(-0LL)), APInt(32,  "-0", 36));
1175   EXPECT_EQ(APInt(32,  uint64_t(-1LL)), APInt(32,  "-1", 36));
1176   EXPECT_EQ(APInt(32, uint64_t(-35LL)), APInt(32,  "-Z", 36));
1177   EXPECT_EQ(APInt(32, uint64_t(-36LL)), APInt(32, "-10", 36));
1178   EXPECT_EQ(APInt(32, uint64_t(-71LL)), APInt(32, "-1Z", 36));
1179   EXPECT_EQ(APInt(32, uint64_t(-72LL)), APInt(32, "-20", 36));
1180 }
1181 
1182 TEST(APIntTest, SaturatingMath) {
1183   APInt AP_10 = APInt(8, 10);
1184   APInt AP_42 = APInt(8, 42);
1185   APInt AP_100 = APInt(8, 100);
1186   APInt AP_200 = APInt(8, 200);
1187 
1188   EXPECT_EQ(APInt(8, 100), AP_100.truncUSat(8));
1189   EXPECT_EQ(APInt(7, 100), AP_100.truncUSat(7));
1190   EXPECT_EQ(APInt(6, 63), AP_100.truncUSat(6));
1191   EXPECT_EQ(APInt(5, 31), AP_100.truncUSat(5));
1192 
1193   EXPECT_EQ(APInt(8, 200), AP_200.truncUSat(8));
1194   EXPECT_EQ(APInt(7, 127), AP_200.truncUSat(7));
1195   EXPECT_EQ(APInt(6, 63), AP_200.truncUSat(6));
1196   EXPECT_EQ(APInt(5, 31), AP_200.truncUSat(5));
1197 
1198   EXPECT_EQ(APInt(8, 42), AP_42.truncSSat(8));
1199   EXPECT_EQ(APInt(7, 42), AP_42.truncSSat(7));
1200   EXPECT_EQ(APInt(6, 31), AP_42.truncSSat(6));
1201   EXPECT_EQ(APInt(5, 15), AP_42.truncSSat(5));
1202 
1203   EXPECT_EQ(APInt(8, -56), AP_200.truncSSat(8));
1204   EXPECT_EQ(APInt(7, -56), AP_200.truncSSat(7));
1205   EXPECT_EQ(APInt(6, -32), AP_200.truncSSat(6));
1206   EXPECT_EQ(APInt(5, -16), AP_200.truncSSat(5));
1207 
1208   EXPECT_EQ(APInt(8, 200), AP_100.uadd_sat(AP_100));
1209   EXPECT_EQ(APInt(8, 255), AP_100.uadd_sat(AP_200));
1210   EXPECT_EQ(APInt(8, 255), APInt(8, 255).uadd_sat(APInt(8, 255)));
1211 
1212   EXPECT_EQ(APInt(8, 110), AP_10.sadd_sat(AP_100));
1213   EXPECT_EQ(APInt(8, 127), AP_100.sadd_sat(AP_100));
1214   EXPECT_EQ(APInt(8, -128), (-AP_100).sadd_sat(-AP_100));
1215   EXPECT_EQ(APInt(8, -128), APInt(8, -128).sadd_sat(APInt(8, -128)));
1216 
1217   EXPECT_EQ(APInt(8, 90), AP_100.usub_sat(AP_10));
1218   EXPECT_EQ(APInt(8, 0), AP_100.usub_sat(AP_200));
1219   EXPECT_EQ(APInt(8, 0), APInt(8, 0).usub_sat(APInt(8, 255)));
1220 
1221   EXPECT_EQ(APInt(8, -90), AP_10.ssub_sat(AP_100));
1222   EXPECT_EQ(APInt(8, 127), AP_100.ssub_sat(-AP_100));
1223   EXPECT_EQ(APInt(8, -128), (-AP_100).ssub_sat(AP_100));
1224   EXPECT_EQ(APInt(8, -128), APInt(8, -128).ssub_sat(APInt(8, 127)));
1225 
1226   EXPECT_EQ(APInt(8, 250), APInt(8, 50).umul_sat(APInt(8, 5)));
1227   EXPECT_EQ(APInt(8, 255), APInt(8, 50).umul_sat(APInt(8, 6)));
1228   EXPECT_EQ(APInt(8, 255), APInt(8, -128).umul_sat(APInt(8, 3)));
1229   EXPECT_EQ(APInt(8, 255), APInt(8, 3).umul_sat(APInt(8, -128)));
1230   EXPECT_EQ(APInt(8, 255), APInt(8, -128).umul_sat(APInt(8, -128)));
1231 
1232   EXPECT_EQ(APInt(8, 125), APInt(8, 25).smul_sat(APInt(8, 5)));
1233   EXPECT_EQ(APInt(8, 127), APInt(8, 25).smul_sat(APInt(8, 6)));
1234   EXPECT_EQ(APInt(8, 127), APInt(8, 127).smul_sat(APInt(8, 127)));
1235   EXPECT_EQ(APInt(8, -125), APInt(8, -25).smul_sat(APInt(8, 5)));
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, -128), APInt(8, -25).smul_sat(APInt(8, 6)));
1240   EXPECT_EQ(APInt(8, -128), APInt(8, 25).smul_sat(APInt(8, -6)));
1241   EXPECT_EQ(APInt(8, 127), APInt(8, -25).smul_sat(APInt(8, -6)));
1242   EXPECT_EQ(APInt(8, 127), APInt(8, 25).smul_sat(APInt(8, 6)));
1243 
1244   EXPECT_EQ(APInt(8, 128), APInt(8, 4).ushl_sat(APInt(8, 5)));
1245   EXPECT_EQ(APInt(8, 255), APInt(8, 4).ushl_sat(APInt(8, 6)));
1246   EXPECT_EQ(APInt(8, 128), APInt(8, 1).ushl_sat(APInt(8, 7)));
1247   EXPECT_EQ(APInt(8, 255), APInt(8, 1).ushl_sat(APInt(8, 8)));
1248   EXPECT_EQ(APInt(8, 255), APInt(8, -128).ushl_sat(APInt(8, 2)));
1249   EXPECT_EQ(APInt(8, 255), APInt(8, 64).ushl_sat(APInt(8, 2)));
1250   EXPECT_EQ(APInt(8, 255), APInt(8, 64).ushl_sat(APInt(8, -2)));
1251 
1252   EXPECT_EQ(APInt(8, 64), APInt(8, 4).sshl_sat(APInt(8, 4)));
1253   EXPECT_EQ(APInt(8, 127), APInt(8, 4).sshl_sat(APInt(8, 5)));
1254   EXPECT_EQ(APInt(8, 127), APInt(8, 1).sshl_sat(APInt(8, 8)));
1255   EXPECT_EQ(APInt(8, -64), APInt(8, -4).sshl_sat(APInt(8, 4)));
1256   EXPECT_EQ(APInt(8, -128), APInt(8, -4).sshl_sat(APInt(8, 5)));
1257   EXPECT_EQ(APInt(8, -128), APInt(8, -4).sshl_sat(APInt(8, 6)));
1258   EXPECT_EQ(APInt(8, -128), APInt(8, -1).sshl_sat(APInt(8, 7)));
1259   EXPECT_EQ(APInt(8, -128), APInt(8, -1).sshl_sat(APInt(8, 8)));
1260 }
1261 
1262 TEST(APIntTest, FromArray) {
1263   EXPECT_EQ(APInt(32, uint64_t(1)), APInt(32, ArrayRef<uint64_t>(1)));
1264 }
1265 
1266 TEST(APIntTest, StringBitsNeeded2) {
1267   EXPECT_EQ(1U, APInt::getBitsNeeded(  "0", 2));
1268   EXPECT_EQ(1U, APInt::getBitsNeeded(  "1", 2));
1269   EXPECT_EQ(2U, APInt::getBitsNeeded( "10", 2));
1270   EXPECT_EQ(2U, APInt::getBitsNeeded( "11", 2));
1271   EXPECT_EQ(3U, APInt::getBitsNeeded("100", 2));
1272 
1273   EXPECT_EQ(1U, APInt::getBitsNeeded(  "+0", 2));
1274   EXPECT_EQ(1U, APInt::getBitsNeeded(  "+1", 2));
1275   EXPECT_EQ(2U, APInt::getBitsNeeded( "+10", 2));
1276   EXPECT_EQ(2U, APInt::getBitsNeeded( "+11", 2));
1277   EXPECT_EQ(3U, APInt::getBitsNeeded("+100", 2));
1278 
1279   EXPECT_EQ(2U, APInt::getBitsNeeded(  "-0", 2));
1280   EXPECT_EQ(2U, APInt::getBitsNeeded(  "-1", 2));
1281   EXPECT_EQ(3U, APInt::getBitsNeeded( "-10", 2));
1282   EXPECT_EQ(3U, APInt::getBitsNeeded( "-11", 2));
1283   EXPECT_EQ(4U, APInt::getBitsNeeded("-100", 2));
1284 }
1285 
1286 TEST(APIntTest, StringBitsNeeded8) {
1287   EXPECT_EQ(3U, APInt::getBitsNeeded( "0", 8));
1288   EXPECT_EQ(3U, APInt::getBitsNeeded( "7", 8));
1289   EXPECT_EQ(6U, APInt::getBitsNeeded("10", 8));
1290   EXPECT_EQ(6U, APInt::getBitsNeeded("17", 8));
1291   EXPECT_EQ(6U, APInt::getBitsNeeded("20", 8));
1292 
1293   EXPECT_EQ(3U, APInt::getBitsNeeded( "+0", 8));
1294   EXPECT_EQ(3U, APInt::getBitsNeeded( "+7", 8));
1295   EXPECT_EQ(6U, APInt::getBitsNeeded("+10", 8));
1296   EXPECT_EQ(6U, APInt::getBitsNeeded("+17", 8));
1297   EXPECT_EQ(6U, APInt::getBitsNeeded("+20", 8));
1298 
1299   EXPECT_EQ(4U, APInt::getBitsNeeded( "-0", 8));
1300   EXPECT_EQ(4U, APInt::getBitsNeeded( "-7", 8));
1301   EXPECT_EQ(7U, APInt::getBitsNeeded("-10", 8));
1302   EXPECT_EQ(7U, APInt::getBitsNeeded("-17", 8));
1303   EXPECT_EQ(7U, APInt::getBitsNeeded("-20", 8));
1304 }
1305 
1306 TEST(APIntTest, StringBitsNeeded10) {
1307   EXPECT_EQ(1U, APInt::getBitsNeeded( "0", 10));
1308   EXPECT_EQ(2U, APInt::getBitsNeeded( "3", 10));
1309   EXPECT_EQ(4U, APInt::getBitsNeeded( "9", 10));
1310   EXPECT_EQ(4U, APInt::getBitsNeeded("10", 10));
1311   EXPECT_EQ(5U, APInt::getBitsNeeded("19", 10));
1312   EXPECT_EQ(5U, APInt::getBitsNeeded("20", 10));
1313 
1314   EXPECT_EQ(1U, APInt::getBitsNeeded( "+0", 10));
1315   EXPECT_EQ(4U, APInt::getBitsNeeded( "+9", 10));
1316   EXPECT_EQ(4U, APInt::getBitsNeeded("+10", 10));
1317   EXPECT_EQ(5U, APInt::getBitsNeeded("+19", 10));
1318   EXPECT_EQ(5U, APInt::getBitsNeeded("+20", 10));
1319 
1320   EXPECT_EQ(2U, APInt::getBitsNeeded( "-0", 10));
1321   EXPECT_EQ(5U, APInt::getBitsNeeded( "-9", 10));
1322   EXPECT_EQ(5U, APInt::getBitsNeeded("-10", 10));
1323   EXPECT_EQ(6U, APInt::getBitsNeeded("-19", 10));
1324   EXPECT_EQ(6U, APInt::getBitsNeeded("-20", 10));
1325 
1326   EXPECT_EQ(1U, APInt::getBitsNeeded("-1", 10));
1327   EXPECT_EQ(2U, APInt::getBitsNeeded("-2", 10));
1328   EXPECT_EQ(3U, APInt::getBitsNeeded("-4", 10));
1329   EXPECT_EQ(4U, APInt::getBitsNeeded("-8", 10));
1330   EXPECT_EQ(5U, APInt::getBitsNeeded("-16", 10));
1331   EXPECT_EQ(6U, APInt::getBitsNeeded("-23", 10));
1332   EXPECT_EQ(6U, APInt::getBitsNeeded("-32", 10));
1333   EXPECT_EQ(7U, APInt::getBitsNeeded("-64", 10));
1334   EXPECT_EQ(8U, APInt::getBitsNeeded("-127", 10));
1335   EXPECT_EQ(8U, APInt::getBitsNeeded("-128", 10));
1336   EXPECT_EQ(9U, APInt::getBitsNeeded("-255", 10));
1337   EXPECT_EQ(9U, APInt::getBitsNeeded("-256", 10));
1338   EXPECT_EQ(10U, APInt::getBitsNeeded("-512", 10));
1339   EXPECT_EQ(11U, APInt::getBitsNeeded("-1024", 10));
1340   EXPECT_EQ(12U, APInt::getBitsNeeded("-1025", 10));
1341 }
1342 
1343 TEST(APIntTest, StringBitsNeeded16) {
1344   EXPECT_EQ(4U, APInt::getBitsNeeded( "0", 16));
1345   EXPECT_EQ(4U, APInt::getBitsNeeded( "F", 16));
1346   EXPECT_EQ(8U, APInt::getBitsNeeded("10", 16));
1347   EXPECT_EQ(8U, APInt::getBitsNeeded("1F", 16));
1348   EXPECT_EQ(8U, APInt::getBitsNeeded("20", 16));
1349 
1350   EXPECT_EQ(4U, APInt::getBitsNeeded( "+0", 16));
1351   EXPECT_EQ(4U, APInt::getBitsNeeded( "+F", 16));
1352   EXPECT_EQ(8U, APInt::getBitsNeeded("+10", 16));
1353   EXPECT_EQ(8U, APInt::getBitsNeeded("+1F", 16));
1354   EXPECT_EQ(8U, APInt::getBitsNeeded("+20", 16));
1355 
1356   EXPECT_EQ(5U, APInt::getBitsNeeded( "-0", 16));
1357   EXPECT_EQ(5U, APInt::getBitsNeeded( "-F", 16));
1358   EXPECT_EQ(9U, APInt::getBitsNeeded("-10", 16));
1359   EXPECT_EQ(9U, APInt::getBitsNeeded("-1F", 16));
1360   EXPECT_EQ(9U, APInt::getBitsNeeded("-20", 16));
1361 }
1362 
1363 TEST(APIntTest, toString) {
1364   SmallString<16> S;
1365   bool isSigned;
1366 
1367   APInt(8, 0).toString(S, 2, true, true);
1368   EXPECT_EQ(std::string(S), "0b0");
1369   S.clear();
1370   APInt(8, 0).toString(S, 8, true, true);
1371   EXPECT_EQ(std::string(S), "00");
1372   S.clear();
1373   APInt(8, 0).toString(S, 10, true, true);
1374   EXPECT_EQ(std::string(S), "0");
1375   S.clear();
1376   APInt(8, 0).toString(S, 16, true, true);
1377   EXPECT_EQ(std::string(S), "0x0");
1378   S.clear();
1379   APInt(8, 0).toString(S, 36, true, false);
1380   EXPECT_EQ(std::string(S), "0");
1381   S.clear();
1382 
1383   // with separators
1384   APInt(64, 140).toString(S, 2, false, true, false, true);
1385   EXPECT_EQ(std::string(S), "0b1000'1100");
1386   S.clear();
1387   APInt(64, 1024).toString(S, 8, false, true, false, true);
1388   EXPECT_EQ(std::string(S), "02'000");
1389   S.clear();
1390   APInt(64, 1000000).toString(S, 10, false, true, false, true);
1391   EXPECT_EQ(std::string(S), "1'000'000");
1392   S.clear();
1393   APInt(64, 1000000).toString(S, 16, false, true, true, true);
1394   EXPECT_EQ(std::string(S), "0xF'4240");
1395   S.clear();
1396   APInt(64, 1'000'000'000).toString(S, 36, false, false, false, true);
1397   EXPECT_EQ(std::string(S), "gj'dgxs");
1398   S.clear();
1399 
1400   isSigned = false;
1401   APInt(8, 255, isSigned).toString(S, 2, isSigned, true);
1402   EXPECT_EQ(std::string(S), "0b11111111");
1403   S.clear();
1404   APInt(8, 255, isSigned).toString(S, 8, isSigned, true);
1405   EXPECT_EQ(std::string(S), "0377");
1406   S.clear();
1407   APInt(8, 255, isSigned).toString(S, 10, isSigned, true);
1408   EXPECT_EQ(std::string(S), "255");
1409   S.clear();
1410   APInt(8, 255, isSigned).toString(S, 16, isSigned, true, /*UpperCase=*/false);
1411   EXPECT_EQ(std::string(S), "0xff");
1412   S.clear();
1413   APInt(8, 255, isSigned).toString(S, 16, isSigned, true);
1414   EXPECT_EQ(std::string(S), "0xFF");
1415   S.clear();
1416   APInt(8, 255, isSigned).toString(S, 36, isSigned, false);
1417   EXPECT_EQ(std::string(S), "73");
1418   S.clear();
1419 
1420   isSigned = true;
1421   APInt(8, 255, isSigned).toString(S, 2, isSigned, true);
1422   EXPECT_EQ(std::string(S), "-0b1");
1423   S.clear();
1424   APInt(8, 255, isSigned).toString(S, 8, isSigned, true);
1425   EXPECT_EQ(std::string(S), "-01");
1426   S.clear();
1427   APInt(8, 255, isSigned).toString(S, 10, isSigned, true);
1428   EXPECT_EQ(std::string(S), "-1");
1429   S.clear();
1430   APInt(8, 255, isSigned).toString(S, 16, isSigned, true);
1431   EXPECT_EQ(std::string(S), "-0x1");
1432   S.clear();
1433   APInt(8, 255, isSigned).toString(S, 36, isSigned, false);
1434   EXPECT_EQ(std::string(S), "-1");
1435   S.clear();
1436 
1437   // negative with separators
1438   APInt(64, -140, isSigned).toString(S, 2, isSigned, true, false, true);
1439   EXPECT_EQ(std::string(S), "-0b1000'1100");
1440   S.clear();
1441   APInt(64, -1024, isSigned).toString(S, 8, isSigned, true, false, true);
1442   EXPECT_EQ(std::string(S), "-02'000");
1443   S.clear();
1444   APInt(64, -1000000, isSigned).toString(S, 10, isSigned, true, false, true);
1445   EXPECT_EQ(std::string(S), "-1'000'000");
1446   S.clear();
1447   APInt(64, -1000000, isSigned).toString(S, 16, isSigned, true, true, true);
1448   EXPECT_EQ(std::string(S), "-0xF'4240");
1449   S.clear();
1450   APInt(64, -1'000'000'000, isSigned)
1451       .toString(S, 36, isSigned, false, false, true);
1452   EXPECT_EQ(std::string(S), "-gj'dgxs");
1453   S.clear();
1454 }
1455 
1456 TEST(APIntTest, Log2) {
1457   EXPECT_EQ(APInt(15, 7).logBase2(), 2U);
1458   EXPECT_EQ(APInt(15, 7).ceilLogBase2(), 3U);
1459   EXPECT_EQ(APInt(15, 7).exactLogBase2(), -1);
1460   EXPECT_EQ(APInt(15, 8).logBase2(), 3U);
1461   EXPECT_EQ(APInt(15, 8).ceilLogBase2(), 3U);
1462   EXPECT_EQ(APInt(15, 8).exactLogBase2(), 3);
1463   EXPECT_EQ(APInt(15, 9).logBase2(), 3U);
1464   EXPECT_EQ(APInt(15, 9).ceilLogBase2(), 4U);
1465   EXPECT_EQ(APInt(15, 9).exactLogBase2(), -1);
1466 }
1467 
1468 #ifdef GTEST_HAS_DEATH_TEST
1469 #ifndef NDEBUG
1470 TEST(APIntTest, StringDeath) {
1471   EXPECT_DEATH((void)APInt(32, "", 0), "Invalid string length");
1472   EXPECT_DEATH((void)APInt(32, "0", 0), "Radix should be 2, 8, 10, 16, or 36!");
1473   EXPECT_DEATH((void)APInt(32, "", 10), "Invalid string length");
1474   EXPECT_DEATH((void)APInt(32, "-", 10), "String is only a sign, needs a value.");
1475   EXPECT_DEATH((void)APInt(1, "1234", 10), "Insufficient bit width");
1476   EXPECT_DEATH((void)APInt(32, "\0", 10), "Invalid string length");
1477   EXPECT_DEATH((void)APInt(32, StringRef("1\02", 3), 10), "Invalid character in digit string");
1478   EXPECT_DEATH((void)APInt(32, "1L", 10), "Invalid character in digit string");
1479 }
1480 #endif
1481 #endif
1482 
1483 TEST(APIntTest, mul_clear) {
1484   APInt ValA(65, -1ULL);
1485   APInt ValB(65, 4);
1486   APInt ValC(65, 0);
1487   ValC = ValA * ValB;
1488   ValA *= ValB;
1489   SmallString<16> StrA, StrC;
1490   ValA.toString(StrA, 10, false);
1491   ValC.toString(StrC, 10, false);
1492   EXPECT_EQ(std::string(StrA), std::string(StrC));
1493 }
1494 
1495 TEST(APIntTest, Rotate) {
1496   EXPECT_EQ(APInt(8, 1),  APInt(8, 1).rotl(0));
1497   EXPECT_EQ(APInt(8, 2),  APInt(8, 1).rotl(1));
1498   EXPECT_EQ(APInt(8, 4),  APInt(8, 1).rotl(2));
1499   EXPECT_EQ(APInt(8, 16), APInt(8, 1).rotl(4));
1500   EXPECT_EQ(APInt(8, 1),  APInt(8, 1).rotl(8));
1501 
1502   EXPECT_EQ(APInt(8, 16), APInt(8, 16).rotl(0));
1503   EXPECT_EQ(APInt(8, 32), APInt(8, 16).rotl(1));
1504   EXPECT_EQ(APInt(8, 64), APInt(8, 16).rotl(2));
1505   EXPECT_EQ(APInt(8, 1),  APInt(8, 16).rotl(4));
1506   EXPECT_EQ(APInt(8, 16), APInt(8, 16).rotl(8));
1507 
1508   EXPECT_EQ(APInt(32, 2), APInt(32, 1).rotl(33));
1509   EXPECT_EQ(APInt(32, 2), APInt(32, 1).rotl(APInt(32, 33)));
1510 
1511   EXPECT_EQ(APInt(32, 2), APInt(32, 1).rotl(33));
1512   EXPECT_EQ(APInt(32, 2), APInt(32, 1).rotl(APInt(32, 33)));
1513   EXPECT_EQ(APInt(32, 2), APInt(32, 1).rotl(APInt(33, 33)));
1514   EXPECT_EQ(APInt(32, (1 << 8)), APInt(32, 1).rotl(APInt(32, 40)));
1515   EXPECT_EQ(APInt(32, (1 << 30)), APInt(32, 1).rotl(APInt(31, 30)));
1516   EXPECT_EQ(APInt(32, (1 << 31)), APInt(32, 1).rotl(APInt(31, 31)));
1517 
1518   EXPECT_EQ(APInt(32, 1), APInt(32, 1).rotl(APInt(1, 0)));
1519   EXPECT_EQ(APInt(32, 2), APInt(32, 1).rotl(APInt(1, 1)));
1520 
1521   EXPECT_EQ(APInt(32, 16), APInt(32, 1).rotl(APInt(3, 4)));
1522 
1523   EXPECT_EQ(APInt(32, 1), APInt(32, 1).rotl(APInt(64, 64)));
1524   EXPECT_EQ(APInt(32, 2), APInt(32, 1).rotl(APInt(64, 65)));
1525 
1526   EXPECT_EQ(APInt(7, 24), APInt(7, 3).rotl(APInt(7, 3)));
1527   EXPECT_EQ(APInt(7, 24), APInt(7, 3).rotl(APInt(7, 10)));
1528   EXPECT_EQ(APInt(7, 24), APInt(7, 3).rotl(APInt(5, 10)));
1529   EXPECT_EQ(APInt(7, 6), APInt(7, 3).rotl(APInt(12, 120)));
1530 
1531   EXPECT_EQ(APInt(8, 16), APInt(8, 16).rotr(0));
1532   EXPECT_EQ(APInt(8, 8),  APInt(8, 16).rotr(1));
1533   EXPECT_EQ(APInt(8, 4),  APInt(8, 16).rotr(2));
1534   EXPECT_EQ(APInt(8, 1),  APInt(8, 16).rotr(4));
1535   EXPECT_EQ(APInt(8, 16), APInt(8, 16).rotr(8));
1536 
1537   EXPECT_EQ(APInt(8, 1),   APInt(8, 1).rotr(0));
1538   EXPECT_EQ(APInt(8, 128), APInt(8, 1).rotr(1));
1539   EXPECT_EQ(APInt(8, 64),  APInt(8, 1).rotr(2));
1540   EXPECT_EQ(APInt(8, 16),  APInt(8, 1).rotr(4));
1541   EXPECT_EQ(APInt(8, 1),   APInt(8, 1).rotr(8));
1542 
1543   EXPECT_EQ(APInt(32, (1 << 31)), APInt(32, 1).rotr(33));
1544   EXPECT_EQ(APInt(32, (1 << 31)), APInt(32, 1).rotr(APInt(32, 33)));
1545 
1546   EXPECT_EQ(APInt(32, (1 << 31)), APInt(32, 1).rotr(33));
1547   EXPECT_EQ(APInt(32, (1 << 31)), APInt(32, 1).rotr(APInt(32, 33)));
1548   EXPECT_EQ(APInt(32, (1 << 31)), APInt(32, 1).rotr(APInt(33, 33)));
1549   EXPECT_EQ(APInt(32, (1 << 24)), APInt(32, 1).rotr(APInt(32, 40)));
1550 
1551   EXPECT_EQ(APInt(32, (1 << 2)), APInt(32, 1).rotr(APInt(31, 30)));
1552   EXPECT_EQ(APInt(32, (1 << 1)), APInt(32, 1).rotr(APInt(31, 31)));
1553 
1554   EXPECT_EQ(APInt(32, 1), APInt(32, 1).rotr(APInt(1, 0)));
1555   EXPECT_EQ(APInt(32, (1 << 31)), APInt(32, 1).rotr(APInt(1, 1)));
1556 
1557   EXPECT_EQ(APInt(32, (1 << 28)), APInt(32, 1).rotr(APInt(3, 4)));
1558 
1559   EXPECT_EQ(APInt(32, 1), APInt(32, 1).rotr(APInt(64, 64)));
1560   EXPECT_EQ(APInt(32, (1 << 31)), APInt(32, 1).rotr(APInt(64, 65)));
1561 
1562   EXPECT_EQ(APInt(7, 48), APInt(7, 3).rotr(APInt(7, 3)));
1563   EXPECT_EQ(APInt(7, 48), APInt(7, 3).rotr(APInt(7, 10)));
1564   EXPECT_EQ(APInt(7, 48), APInt(7, 3).rotr(APInt(5, 10)));
1565   EXPECT_EQ(APInt(7, 65), APInt(7, 3).rotr(APInt(12, 120)));
1566 
1567   APInt Big(256, "00004000800000000000000000003fff8000000000000003", 16);
1568   APInt Rot(256, "3fff80000000000000030000000000000000000040008000", 16);
1569   EXPECT_EQ(Rot, Big.rotr(144));
1570 
1571   EXPECT_EQ(APInt(32, 8), APInt(32, 1).rotl(Big));
1572   EXPECT_EQ(APInt(32, (1 << 29)), APInt(32, 1).rotr(Big));
1573 }
1574 
1575 TEST(APIntTest, Splat) {
1576   APInt ValA(8, 0x01);
1577   EXPECT_EQ(ValA, APInt::getSplat(8, ValA));
1578   EXPECT_EQ(APInt(64, 0x0101010101010101ULL), APInt::getSplat(64, ValA));
1579 
1580   APInt ValB(3, 5);
1581   EXPECT_EQ(APInt(4, 0xD), APInt::getSplat(4, ValB));
1582   EXPECT_EQ(APInt(15, 0xDB6D), APInt::getSplat(15, ValB));
1583 }
1584 
1585 TEST(APIntTest, tcDecrement) {
1586   // Test single word decrement.
1587 
1588   // No out borrow.
1589   {
1590     APInt::WordType singleWord = ~APInt::WordType(0) << (APInt::APINT_BITS_PER_WORD - 1);
1591     APInt::WordType carry = APInt::tcDecrement(&singleWord, 1);
1592     EXPECT_EQ(carry, APInt::WordType(0));
1593     EXPECT_EQ(singleWord, ~APInt::WordType(0) >> 1);
1594   }
1595 
1596   // With out borrow.
1597   {
1598     APInt::WordType singleWord = 0;
1599     APInt::WordType carry = APInt::tcDecrement(&singleWord, 1);
1600     EXPECT_EQ(carry, APInt::WordType(1));
1601     EXPECT_EQ(singleWord, ~APInt::WordType(0));
1602   }
1603 
1604   // Test multiword decrement.
1605 
1606   // No across word borrow, no out borrow.
1607   {
1608     APInt::WordType test[4] = {0x1, 0x1, 0x1, 0x1};
1609     APInt::WordType expected[4] = {0x0, 0x1, 0x1, 0x1};
1610     APInt::tcDecrement(test, 4);
1611     EXPECT_EQ(APInt::tcCompare(test, expected, 4), 0);
1612   }
1613 
1614   // 1 across word borrow, no out borrow.
1615   {
1616     APInt::WordType test[4] = {0x0, 0xF, 0x1, 0x1};
1617     APInt::WordType expected[4] = {~APInt::WordType(0), 0xE, 0x1, 0x1};
1618     APInt::WordType carry = APInt::tcDecrement(test, 4);
1619     EXPECT_EQ(carry, APInt::WordType(0));
1620     EXPECT_EQ(APInt::tcCompare(test, expected, 4), 0);
1621   }
1622 
1623   // 2 across word borrow, no out borrow.
1624   {
1625     APInt::WordType test[4] = {0x0, 0x0, 0xC, 0x1};
1626     APInt::WordType expected[4] = {~APInt::WordType(0), ~APInt::WordType(0), 0xB, 0x1};
1627     APInt::WordType carry = APInt::tcDecrement(test, 4);
1628     EXPECT_EQ(carry, APInt::WordType(0));
1629     EXPECT_EQ(APInt::tcCompare(test, expected, 4), 0);
1630   }
1631 
1632   // 3 across word borrow, no out borrow.
1633   {
1634     APInt::WordType test[4] = {0x0, 0x0, 0x0, 0x1};
1635     APInt::WordType expected[4] = {~APInt::WordType(0), ~APInt::WordType(0), ~APInt::WordType(0), 0x0};
1636     APInt::WordType carry = APInt::tcDecrement(test, 4);
1637     EXPECT_EQ(carry, APInt::WordType(0));
1638     EXPECT_EQ(APInt::tcCompare(test, expected, 4), 0);
1639   }
1640 
1641   // 3 across word borrow, with out borrow.
1642   {
1643     APInt::WordType test[4] = {0x0, 0x0, 0x0, 0x0};
1644     APInt::WordType expected[4] = {~APInt::WordType(0), ~APInt::WordType(0), ~APInt::WordType(0), ~APInt::WordType(0)};
1645     APInt::WordType carry = APInt::tcDecrement(test, 4);
1646     EXPECT_EQ(carry, APInt::WordType(1));
1647     EXPECT_EQ(APInt::tcCompare(test, expected, 4), 0);
1648   }
1649 }
1650 
1651 TEST(APIntTest, arrayAccess) {
1652   // Single word check.
1653   uint64_t E1 = 0x2CA7F46BF6569915ULL;
1654   APInt A1(64, E1);
1655   for (unsigned i = 0, e = 64; i < e; ++i) {
1656     EXPECT_EQ(bool(E1 & (1ULL << i)),
1657               A1[i]);
1658   }
1659 
1660   // Multiword check.
1661   APInt::WordType E2[4] = {
1662     0xEB6EB136591CBA21ULL,
1663     0x7B9358BD6A33F10AULL,
1664     0x7E7FFA5EADD8846ULL,
1665     0x305F341CA00B613DULL
1666   };
1667   APInt A2(APInt::APINT_BITS_PER_WORD*4, E2);
1668   for (unsigned i = 0; i < 4; ++i) {
1669     for (unsigned j = 0; j < APInt::APINT_BITS_PER_WORD; ++j) {
1670       EXPECT_EQ(bool(E2[i] & (1ULL << j)),
1671                 A2[i*APInt::APINT_BITS_PER_WORD + j]);
1672     }
1673   }
1674 }
1675 
1676 TEST(APIntTest, LargeAPIntConstruction) {
1677   // Check that we can properly construct very large APInt. It is very
1678   // unlikely that people will ever do this, but it is a legal input,
1679   // so we should not crash on it.
1680   APInt A9(UINT32_MAX, 0);
1681   EXPECT_FALSE(A9.getBoolValue());
1682 }
1683 
1684 TEST(APIntTest, nearestLogBase2) {
1685   // Single word check.
1686 
1687   // Test round up.
1688   uint64_t I1 = 0x1800001;
1689   APInt A1(64, I1);
1690   EXPECT_EQ(A1.nearestLogBase2(), A1.ceilLogBase2());
1691 
1692   // Test round down.
1693   uint64_t I2 = 0x1000011;
1694   APInt A2(64, I2);
1695   EXPECT_EQ(A2.nearestLogBase2(), A2.logBase2());
1696 
1697   // Test ties round up.
1698   uint64_t I3 = 0x1800000;
1699   APInt A3(64, I3);
1700   EXPECT_EQ(A3.nearestLogBase2(), A3.ceilLogBase2());
1701 
1702   // Multiple word check.
1703 
1704   // Test round up.
1705   APInt::WordType I4[4] = {0x0, 0xF, 0x18, 0x0};
1706   APInt A4(APInt::APINT_BITS_PER_WORD*4, I4);
1707   EXPECT_EQ(A4.nearestLogBase2(), A4.ceilLogBase2());
1708 
1709   // Test round down.
1710   APInt::WordType I5[4] = {0x0, 0xF, 0x10, 0x0};
1711   APInt A5(APInt::APINT_BITS_PER_WORD*4, I5);
1712   EXPECT_EQ(A5.nearestLogBase2(), A5.logBase2());
1713 
1714   // Test ties round up.
1715   uint64_t I6[4] = {0x0, 0x0, 0x0, 0x18};
1716   APInt A6(APInt::APINT_BITS_PER_WORD*4, I6);
1717   EXPECT_EQ(A6.nearestLogBase2(), A6.ceilLogBase2());
1718 
1719   // Test BitWidth == 1 special cases.
1720   APInt A7(1, 1);
1721   EXPECT_EQ(A7.nearestLogBase2(), 0ULL);
1722   APInt A8(1, 0);
1723   EXPECT_EQ(A8.nearestLogBase2(), UINT32_MAX);
1724 
1725   // Test the zero case when we have a bit width large enough such
1726   // that the bit width is larger than UINT32_MAX-1.
1727   APInt A9(UINT32_MAX, 0);
1728   EXPECT_EQ(A9.nearestLogBase2(), UINT32_MAX);
1729 }
1730 
1731 TEST(APIntTest, IsSplat) {
1732   APInt A(32, 0x01010101);
1733   EXPECT_FALSE(A.isSplat(1));
1734   EXPECT_FALSE(A.isSplat(2));
1735   EXPECT_FALSE(A.isSplat(4));
1736   EXPECT_TRUE(A.isSplat(8));
1737   EXPECT_TRUE(A.isSplat(16));
1738   EXPECT_TRUE(A.isSplat(32));
1739 
1740   APInt B(24, 0xAAAAAA);
1741   EXPECT_FALSE(B.isSplat(1));
1742   EXPECT_TRUE(B.isSplat(2));
1743   EXPECT_TRUE(B.isSplat(4));
1744   EXPECT_TRUE(B.isSplat(8));
1745   EXPECT_TRUE(B.isSplat(24));
1746 
1747   APInt C(24, 0xABAAAB);
1748   EXPECT_FALSE(C.isSplat(1));
1749   EXPECT_FALSE(C.isSplat(2));
1750   EXPECT_FALSE(C.isSplat(4));
1751   EXPECT_FALSE(C.isSplat(8));
1752   EXPECT_TRUE(C.isSplat(24));
1753 
1754   APInt D(32, 0xABBAABBA);
1755   EXPECT_FALSE(D.isSplat(1));
1756   EXPECT_FALSE(D.isSplat(2));
1757   EXPECT_FALSE(D.isSplat(4));
1758   EXPECT_FALSE(D.isSplat(8));
1759   EXPECT_TRUE(D.isSplat(16));
1760   EXPECT_TRUE(D.isSplat(32));
1761 
1762   APInt E(32, 0);
1763   EXPECT_TRUE(E.isSplat(1));
1764   EXPECT_TRUE(E.isSplat(2));
1765   EXPECT_TRUE(E.isSplat(4));
1766   EXPECT_TRUE(E.isSplat(8));
1767   EXPECT_TRUE(E.isSplat(16));
1768   EXPECT_TRUE(E.isSplat(32));
1769 }
1770 
1771 TEST(APIntTest, isMask) {
1772   EXPECT_FALSE(APInt(32, 0x01010101).isMask());
1773   EXPECT_FALSE(APInt(32, 0xf0000000).isMask());
1774   EXPECT_FALSE(APInt(32, 0xffff0000).isMask());
1775   EXPECT_FALSE(APInt(32, 0xff << 1).isMask());
1776 
1777   for (int N : { 1, 2, 3, 4, 7, 8, 16, 32, 64, 127, 128, 129, 256 }) {
1778     EXPECT_FALSE(APInt(N, 0).isMask());
1779 
1780     APInt One(N, 1);
1781     for (int I = 1; I <= N; ++I) {
1782       APInt MaskVal = One.shl(I) - 1;
1783       EXPECT_TRUE(MaskVal.isMask());
1784       EXPECT_TRUE(MaskVal.isMask(I));
1785     }
1786   }
1787 }
1788 
1789 TEST(APIntTest, isShiftedMask) {
1790   EXPECT_FALSE(APInt(32, 0x01010101).isShiftedMask());
1791   EXPECT_TRUE(APInt(32, 0xf0000000).isShiftedMask());
1792   EXPECT_TRUE(APInt(32, 0xffff0000).isShiftedMask());
1793   EXPECT_TRUE(APInt(32, 0xff << 1).isShiftedMask());
1794 
1795   unsigned MaskIdx, MaskLen;
1796   EXPECT_FALSE(APInt(32, 0x01010101).isShiftedMask(MaskIdx, MaskLen));
1797   EXPECT_TRUE(APInt(32, 0xf0000000).isShiftedMask(MaskIdx, MaskLen));
1798   EXPECT_EQ(28, (int)MaskIdx);
1799   EXPECT_EQ(4, (int)MaskLen);
1800   EXPECT_TRUE(APInt(32, 0xffff0000).isShiftedMask(MaskIdx, MaskLen));
1801   EXPECT_EQ(16, (int)MaskIdx);
1802   EXPECT_EQ(16, (int)MaskLen);
1803   EXPECT_TRUE(APInt(32, 0xff << 1).isShiftedMask(MaskIdx, MaskLen));
1804   EXPECT_EQ(1, (int)MaskIdx);
1805   EXPECT_EQ(8, (int)MaskLen);
1806 
1807   for (int N : { 1, 2, 3, 4, 7, 8, 16, 32, 64, 127, 128, 129, 256 }) {
1808     EXPECT_FALSE(APInt(N, 0).isShiftedMask());
1809     EXPECT_FALSE(APInt(N, 0).isShiftedMask(MaskIdx, MaskLen));
1810 
1811     APInt One(N, 1);
1812     for (int I = 1; I < N; ++I) {
1813       APInt MaskVal = One.shl(I) - 1;
1814       EXPECT_TRUE(MaskVal.isShiftedMask());
1815       EXPECT_TRUE(MaskVal.isShiftedMask(MaskIdx, MaskLen));
1816       EXPECT_EQ(0, (int)MaskIdx);
1817       EXPECT_EQ(I, (int)MaskLen);
1818     }
1819     for (int I = 1; I < N - 1; ++I) {
1820       APInt MaskVal = One.shl(I);
1821       EXPECT_TRUE(MaskVal.isShiftedMask());
1822       EXPECT_TRUE(MaskVal.isShiftedMask(MaskIdx, MaskLen));
1823       EXPECT_EQ(I, (int)MaskIdx);
1824       EXPECT_EQ(1, (int)MaskLen);
1825     }
1826     for (int I = 1; I < N; ++I) {
1827       APInt MaskVal = APInt::getHighBitsSet(N, I);
1828       EXPECT_TRUE(MaskVal.isShiftedMask());
1829       EXPECT_TRUE(MaskVal.isShiftedMask(MaskIdx, MaskLen));
1830       EXPECT_EQ(N - I, (int)MaskIdx);
1831       EXPECT_EQ(I, (int)MaskLen);
1832     }
1833   }
1834 }
1835 
1836 TEST(APIntTest, isOneBitSet) {
1837   EXPECT_FALSE(APInt(5, 0x00).isOneBitSet(0));
1838   EXPECT_FALSE(APInt(5, 0x02).isOneBitSet(0));
1839   EXPECT_FALSE(APInt(5, 0x03).isOneBitSet(0));
1840   EXPECT_TRUE(APInt(5, 0x02).isOneBitSet(1));
1841   EXPECT_TRUE(APInt(32, (unsigned)(0xffu << 31)).isOneBitSet(31));
1842 
1843   EXPECT_TRUE(APInt::getOneBitSet(255, 13).isOneBitSet(13));
1844 }
1845 
1846 TEST(APIntTest, isPowerOf2) {
1847   EXPECT_FALSE(APInt(5, 0x00).isPowerOf2());
1848   EXPECT_FALSE(APInt(32, 0x11).isPowerOf2());
1849   EXPECT_TRUE(APInt(17, 0x01).isPowerOf2());
1850   EXPECT_TRUE(APInt(32, (unsigned)(0xffu << 31)).isPowerOf2());
1851 
1852   for (int N : {1, 2, 3, 4, 7, 8, 16, 32, 64, 127, 128, 129, 256}) {
1853     EXPECT_FALSE(APInt(N, 0).isPowerOf2());
1854     EXPECT_TRUE(APInt::getSignedMinValue(N).isPowerOf2());
1855 
1856     APInt One(N, 1);
1857     for (int I = 1; I < N - 1; ++I) {
1858       EXPECT_TRUE(APInt::getOneBitSet(N, I).isPowerOf2());
1859 
1860       APInt MaskVal = One.shl(I);
1861       EXPECT_TRUE(MaskVal.isPowerOf2());
1862     }
1863   }
1864 }
1865 
1866 TEST(APIntTest, isNegatedPowerOf2) {
1867   EXPECT_FALSE(APInt(5, 0x00).isNegatedPowerOf2());
1868   EXPECT_TRUE(APInt(15, 0x7ffe).isNegatedPowerOf2());
1869   EXPECT_TRUE(APInt(16, 0xfffc).isNegatedPowerOf2());
1870   EXPECT_TRUE(APInt(32, 0xffffffff).isNegatedPowerOf2());
1871 
1872   for (int N : {1, 2, 3, 4, 7, 8, 16, 32, 64, 127, 128, 129, 256}) {
1873     EXPECT_FALSE(APInt(N, 0).isNegatedPowerOf2());
1874     EXPECT_TRUE(APInt::getAllOnes(N).isNegatedPowerOf2());
1875     EXPECT_TRUE(APInt::getSignedMinValue(N).isNegatedPowerOf2());
1876     EXPECT_TRUE((-APInt::getSignedMinValue(N)).isNegatedPowerOf2());
1877 
1878     APInt One(N, 1);
1879     for (int I = 1; I < N - 1; ++I) {
1880       EXPECT_FALSE(APInt::getOneBitSet(N, I).isNegatedPowerOf2());
1881       EXPECT_TRUE((-APInt::getOneBitSet(N, I)).isNegatedPowerOf2());
1882 
1883       APInt MaskVal = One.shl(I);
1884       EXPECT_TRUE((-MaskVal).isNegatedPowerOf2());
1885 
1886       APInt ShiftMaskVal = One.getHighBitsSet(N, I);
1887       EXPECT_TRUE(ShiftMaskVal.isNegatedPowerOf2());
1888     }
1889   }
1890 }
1891 
1892 TEST(APIntTest, isAligned) {
1893   struct {
1894     uint64_t alignment;
1895     uint64_t offset;
1896     bool isAligned;
1897   } Tests[] = {
1898       {1, 0, true},  {1, 1, true},  {1, 5, true},  {2, 0, true},
1899       {2, 1, false}, {2, 2, true},  {2, 7, false}, {2, 16, true},
1900       {4, 0, true},  {4, 1, false}, {4, 4, true},  {4, 6, false},
1901   };
1902   for (const auto &T : Tests)
1903     EXPECT_EQ(APInt(32, T.offset).isAligned(Align(T.alignment)), T.isAligned);
1904   // Tests for APInt that can't represent the alignment.
1905   // Here APInt(4, I) can represent values from 0 to 15.
1906   EXPECT_TRUE(APInt(4, 0).isAligned(Align(32))); // zero is always aligned.
1907   for (int I = 1; I < 16; ++I)
1908     EXPECT_FALSE(APInt(4, I).isAligned(Align(32)));
1909 }
1910 
1911 // Test that self-move works with EXPENSIVE_CHECKS. It calls std::shuffle which
1912 // does self-move on some platforms.
1913 #ifdef EXPENSIVE_CHECKS
1914 #if defined(__clang__)
1915 // Disable the pragma warning from versions of Clang without -Wself-move
1916 #pragma clang diagnostic push
1917 #pragma clang diagnostic ignored "-Wunknown-pragmas"
1918 // Disable the warning that triggers on exactly what is being tested.
1919 #pragma clang diagnostic push
1920 #pragma clang diagnostic ignored "-Wself-move"
1921 #endif
1922 TEST(APIntTest, SelfMoveAssignment) {
1923   APInt X(32, 0xdeadbeef);
1924   X = std::move(X);
1925   EXPECT_EQ(32u, X.getBitWidth());
1926   EXPECT_EQ(0xdeadbeefULL, X.getLimitedValue());
1927 
1928   uint64_t Bits[] = {0xdeadbeefdeadbeefULL, 0xdeadbeefdeadbeefULL};
1929   APInt Y(128, Bits);
1930   Y = std::move(Y);
1931   EXPECT_EQ(128u, Y.getBitWidth());
1932   EXPECT_EQ(~0ULL, Y.getLimitedValue());
1933   const uint64_t *Raw = Y.getRawData();
1934   EXPECT_EQ(2u, Y.getNumWords());
1935   EXPECT_EQ(0xdeadbeefdeadbeefULL, Raw[0]);
1936   EXPECT_EQ(0xdeadbeefdeadbeefULL, Raw[1]);
1937 }
1938 #if defined(__clang__)
1939 #pragma clang diagnostic pop
1940 #pragma clang diagnostic pop
1941 #endif
1942 #endif // EXPENSIVE_CHECKS
1943 
1944 TEST(APIntTest, byteSwap) {
1945   EXPECT_EQ(0x00000000, APInt(16, 0x0000).byteSwap());
1946   EXPECT_EQ(0x0000010f, APInt(16, 0x0f01).byteSwap());
1947   EXPECT_EQ(0x00ff8000, APInt(24, 0x0080ff).byteSwap());
1948   EXPECT_EQ(0x117700ff, APInt(32, 0xff007711).byteSwap());
1949   EXPECT_EQ(0x228811aaffULL, APInt(40, 0xffaa118822ULL).byteSwap());
1950   EXPECT_EQ(0x050403020100ULL, APInt(48, 0x000102030405ULL).byteSwap());
1951   EXPECT_EQ(0xff050403020100ULL, APInt(56, 0x000102030405ffULL).byteSwap());
1952   EXPECT_EQ(0xff050403020100aaULL, APInt(64, 0xaa000102030405ffULL).byteSwap());
1953 
1954   for (unsigned N : {16, 24, 32, 48, 56, 64, 72, 80, 96, 112, 128, 248, 256,
1955                      1024, 1032, 1040}) {
1956     for (unsigned I = 0; I < N; I += 8) {
1957       APInt X = APInt::getBitsSet(N, I, I + 8);
1958       APInt Y = APInt::getBitsSet(N, N - I - 8, N - I);
1959       EXPECT_EQ(Y, X.byteSwap());
1960       EXPECT_EQ(X, Y.byteSwap());
1961     }
1962   }
1963 }
1964 
1965 TEST(APIntTest, reverseBits) {
1966   EXPECT_EQ(1, APInt(1, 1).reverseBits());
1967   EXPECT_EQ(0, APInt(1, 0).reverseBits());
1968 
1969   EXPECT_EQ(3, APInt(2, 3).reverseBits());
1970   EXPECT_EQ(3, APInt(2, 3).reverseBits());
1971 
1972   EXPECT_EQ(0xb, APInt(4, 0xd).reverseBits());
1973   EXPECT_EQ(0xd, APInt(4, 0xb).reverseBits());
1974   EXPECT_EQ(0xf, APInt(4, 0xf).reverseBits());
1975 
1976   EXPECT_EQ(0x30, APInt(7, 0x6).reverseBits());
1977   EXPECT_EQ(0x5a, APInt(7, 0x2d).reverseBits());
1978 
1979   EXPECT_EQ(0x0f, APInt(8, 0xf0).reverseBits());
1980   EXPECT_EQ(0xf0, APInt(8, 0x0f).reverseBits());
1981 
1982   EXPECT_EQ(0x0f0f, APInt(16, 0xf0f0).reverseBits());
1983   EXPECT_EQ(0xf0f0, APInt(16, 0x0f0f).reverseBits());
1984 
1985   EXPECT_EQ(0x0f0f0f0f, APInt(32, 0xf0f0f0f0).reverseBits());
1986   EXPECT_EQ(0xf0f0f0f0, APInt(32, 0x0f0f0f0f).reverseBits());
1987 
1988   EXPECT_EQ(0x402880a0 >> 1, APInt(31, 0x05011402).reverseBits());
1989 
1990   EXPECT_EQ(0x0f0f0f0f, APInt(32, 0xf0f0f0f0).reverseBits());
1991   EXPECT_EQ(0xf0f0f0f0, APInt(32, 0x0f0f0f0f).reverseBits());
1992 
1993   EXPECT_EQ(0x0f0f0f0f0f0f0f0f, APInt(64, 0xf0f0f0f0f0f0f0f0).reverseBits());
1994   EXPECT_EQ(0xf0f0f0f0f0f0f0f0, APInt(64, 0x0f0f0f0f0f0f0f0f).reverseBits());
1995 
1996   for (unsigned N : { 1, 8, 16, 24, 31, 32, 33,
1997                       63, 64, 65, 127, 128, 257, 1024 }) {
1998     for (unsigned I = 0; I < N; ++I) {
1999       APInt X = APInt::getOneBitSet(N, I);
2000       APInt Y = APInt::getOneBitSet(N, N - (I + 1));
2001       EXPECT_EQ(Y, X.reverseBits());
2002       EXPECT_EQ(X, Y.reverseBits());
2003     }
2004   }
2005 }
2006 
2007 TEST(APIntTest, insertBits) {
2008   APInt iSrc(31, 0x00123456);
2009 
2010   // Direct copy.
2011   APInt i31(31, 0x76543210ull);
2012   i31.insertBits(iSrc, 0);
2013   EXPECT_EQ(static_cast<int64_t>(0x00123456ull), i31.getSExtValue());
2014 
2015   // Single word src/dst insertion.
2016   APInt i63(63, 0x01234567FFFFFFFFull);
2017   i63.insertBits(iSrc, 4);
2018   EXPECT_EQ(static_cast<int64_t>(0x012345600123456Full), i63.getSExtValue());
2019 
2020   // Zero width insert is a noop.
2021   i31.insertBits(APInt::getZeroWidth(), 1);
2022   EXPECT_EQ(static_cast<int64_t>(0x00123456ull), i31.getSExtValue());
2023 
2024   // Insert single word src into one word of dst.
2025   APInt i120(120, UINT64_MAX, true);
2026   i120.insertBits(iSrc, 8);
2027   EXPECT_EQ(static_cast<int64_t>(0xFFFFFF80123456FFull), i120.getSExtValue());
2028 
2029   // Insert single word src into two words of dst.
2030   APInt i127(127, UINT64_MAX, true);
2031   i127.insertBits(iSrc, 48);
2032   EXPECT_EQ(i127.extractBits(64, 0).getZExtValue(), 0x3456FFFFFFFFFFFFull);
2033   EXPECT_EQ(i127.extractBits(63, 64).getZExtValue(), 0x7FFFFFFFFFFF8012ull);
2034 
2035   // Insert on word boundaries.
2036   APInt i128(128, 0);
2037   i128.insertBits(APInt(64, UINT64_MAX, true), 0);
2038   i128.insertBits(APInt(64, UINT64_MAX, true), 64);
2039   EXPECT_EQ(-1, i128.getSExtValue());
2040 
2041   APInt i256(256, UINT64_MAX, true);
2042   i256.insertBits(APInt(65, 0), 0);
2043   i256.insertBits(APInt(69, 0), 64);
2044   i256.insertBits(APInt(128, 0), 128);
2045   EXPECT_EQ(0u, i256.getSExtValue());
2046 
2047   APInt i257(257, 0);
2048   i257.insertBits(APInt(96, UINT64_MAX, true), 64);
2049   EXPECT_EQ(i257.extractBits(64, 0).getZExtValue(), 0x0000000000000000ull);
2050   EXPECT_EQ(i257.extractBits(64, 64).getZExtValue(), 0xFFFFFFFFFFFFFFFFull);
2051   EXPECT_EQ(i257.extractBits(64, 128).getZExtValue(), 0x00000000FFFFFFFFull);
2052   EXPECT_EQ(i257.extractBits(65, 192).getZExtValue(), 0x0000000000000000ull);
2053 
2054   // General insertion.
2055   APInt i260(260, UINT64_MAX, true);
2056   i260.insertBits(APInt(129, 1ull << 48), 15);
2057   EXPECT_EQ(i260.extractBits(64, 0).getZExtValue(), 0x8000000000007FFFull);
2058   EXPECT_EQ(i260.extractBits(64, 64).getZExtValue(), 0x0000000000000000ull);
2059   EXPECT_EQ(i260.extractBits(64, 128).getZExtValue(), 0xFFFFFFFFFFFF0000ull);
2060   EXPECT_EQ(i260.extractBits(64, 192).getZExtValue(), 0xFFFFFFFFFFFFFFFFull);
2061   EXPECT_EQ(i260.extractBits(4, 256).getZExtValue(), 0x000000000000000Full);
2062 }
2063 
2064 TEST(APIntTest, insertBitsUInt64) {
2065   // Tests cloned from insertBits but adapted to the numBits <= 64 constraint
2066   uint64_t iSrc = 0x00123456;
2067 
2068   // Direct copy.
2069   APInt i31(31, 0x76543210ull);
2070   i31.insertBits(iSrc, 0, 31);
2071   EXPECT_EQ(static_cast<int64_t>(0x00123456ull), i31.getSExtValue());
2072 
2073   // Single word src/dst insertion.
2074   APInt i63(63, 0x01234567FFFFFFFFull);
2075   i63.insertBits(iSrc, 4, 31);
2076   EXPECT_EQ(static_cast<int64_t>(0x012345600123456Full), i63.getSExtValue());
2077 
2078   // Insert single word src into one word of dst.
2079   APInt i120(120, UINT64_MAX, true);
2080   i120.insertBits(iSrc, 8, 31);
2081   EXPECT_EQ(static_cast<int64_t>(0xFFFFFF80123456FFull), i120.getSExtValue());
2082 
2083   // Insert single word src into two words of dst.
2084   APInt i127(127, UINT64_MAX, true);
2085   i127.insertBits(iSrc, 48, 31);
2086   EXPECT_EQ(i127.extractBits(64, 0).getZExtValue(), 0x3456FFFFFFFFFFFFull);
2087   EXPECT_EQ(i127.extractBits(63, 64).getZExtValue(), 0x7FFFFFFFFFFF8012ull);
2088 
2089   // Insert on word boundaries.
2090   APInt i128(128, 0);
2091   i128.insertBits(UINT64_MAX, 0, 64);
2092   i128.insertBits(UINT64_MAX, 64, 64);
2093   EXPECT_EQ(-1, i128.getSExtValue());
2094 
2095   APInt i256(256, UINT64_MAX, true);
2096   i256.insertBits(0, 0, 64);
2097   i256.insertBits(0, 64, 1);
2098   i256.insertBits(0, 64, 64);
2099   i256.insertBits(0, 128, 5);
2100   i256.insertBits(0, 128, 64);
2101   i256.insertBits(0, 192, 64);
2102   EXPECT_EQ(0u, i256.getSExtValue());
2103 
2104   APInt i257(257, 0);
2105   i257.insertBits(APInt(96, UINT64_MAX, true), 64);
2106   EXPECT_EQ(i257.extractBitsAsZExtValue(64, 0), 0x0000000000000000ull);
2107   EXPECT_EQ(i257.extractBitsAsZExtValue(64, 64), 0xFFFFFFFFFFFFFFFFull);
2108   EXPECT_EQ(i257.extractBitsAsZExtValue(64, 128), 0x00000000FFFFFFFFull);
2109   EXPECT_EQ(i257.extractBitsAsZExtValue(64, 192), 0x0000000000000000ull);
2110   EXPECT_EQ(i257.extractBitsAsZExtValue(1, 256), 0x0000000000000000ull);
2111 
2112   // General insertion.
2113   APInt i260(260, UINT64_MAX, true);
2114   i260.insertBits(APInt(129, 1ull << 48), 15);
2115   EXPECT_EQ(i260.extractBitsAsZExtValue(64, 0), 0x8000000000007FFFull);
2116   EXPECT_EQ(i260.extractBitsAsZExtValue(64, 64), 0x0000000000000000ull);
2117   EXPECT_EQ(i260.extractBitsAsZExtValue(64, 128), 0xFFFFFFFFFFFF0000ull);
2118   EXPECT_EQ(i260.extractBitsAsZExtValue(64, 192), 0xFFFFFFFFFFFFFFFFull);
2119   EXPECT_EQ(i260.extractBitsAsZExtValue(4, 256), 0x000000000000000Full);
2120 }
2121 
2122 TEST(APIntTest, extractBits) {
2123   APInt i32(32, 0x1234567);
2124   EXPECT_EQ(0x3456, i32.extractBits(16, 4));
2125 
2126   APInt i64(64, 0x01234567FFFFFFFFull);
2127   EXPECT_EQ(0xFFFFFFFF, i64.extractBits(32, 0));
2128   EXPECT_EQ(0xFFFFFFFF, i64.trunc(32));
2129   EXPECT_EQ(0x01234567, i64.extractBits(32, 32));
2130   EXPECT_EQ(0x01234567, i64.lshr(32).trunc(32));
2131 
2132   APInt i257(257, 0xFFFFFFFFFF0000FFull, true);
2133   EXPECT_EQ(0xFFu, i257.extractBits(16, 0));
2134   EXPECT_EQ(0xFFu, i257.lshr(0).trunc(16));
2135   EXPECT_EQ((0xFFu >> 1), i257.extractBits(16, 1));
2136   EXPECT_EQ((0xFFu >> 1), i257.lshr(1).trunc(16));
2137   EXPECT_EQ(-1, i257.extractBits(32, 64).getSExtValue());
2138   EXPECT_EQ(-1, i257.lshr(64).trunc(32).getSExtValue());
2139   EXPECT_EQ(-1, i257.extractBits(128, 128).getSExtValue());
2140   EXPECT_EQ(-1, i257.lshr(128).trunc(128).getSExtValue());
2141   EXPECT_EQ(-1, i257.extractBits(66, 191).getSExtValue());
2142   EXPECT_EQ(-1, i257.lshr(191).trunc(66).getSExtValue());
2143   EXPECT_EQ(static_cast<int64_t>(0xFFFFFFFFFF80007Full),
2144             i257.extractBits(128, 1).getSExtValue());
2145   EXPECT_EQ(static_cast<int64_t>(0xFFFFFFFFFF80007Full),
2146             i257.lshr(1).trunc(128).getSExtValue());
2147   EXPECT_EQ(static_cast<int64_t>(0xFFFFFFFFFF80007Full),
2148             i257.extractBits(129, 1).getSExtValue());
2149   EXPECT_EQ(static_cast<int64_t>(0xFFFFFFFFFF80007Full),
2150             i257.lshr(1).trunc(129).getSExtValue());
2151 
2152   EXPECT_EQ(APInt(48, 0),
2153             APInt(144, "281474976710655", 10).extractBits(48, 48));
2154   EXPECT_EQ(APInt(48, 0),
2155             APInt(144, "281474976710655", 10).lshr(48).trunc(48));
2156   EXPECT_EQ(APInt(48, 0x0000ffffffffffffull),
2157             APInt(144, "281474976710655", 10).extractBits(48, 0));
2158   EXPECT_EQ(APInt(48, 0x0000ffffffffffffull),
2159             APInt(144, "281474976710655", 10).lshr(0).trunc(48));
2160   EXPECT_EQ(APInt(48, 0x00007fffffffffffull),
2161             APInt(144, "281474976710655", 10).extractBits(48, 1));
2162   EXPECT_EQ(APInt(48, 0x00007fffffffffffull),
2163             APInt(144, "281474976710655", 10).lshr(1).trunc(48));
2164 }
2165 
2166 TEST(APIntTest, extractBitsAsZExtValue) {
2167   // Tests based on extractBits
2168   APInt i32(32, 0x1234567);
2169   EXPECT_EQ(0x3456u, i32.extractBitsAsZExtValue(16, 4));
2170 
2171   APInt i257(257, 0xFFFFFFFFFF0000FFull, true);
2172   EXPECT_EQ(0xFFu, i257.extractBitsAsZExtValue(16, 0));
2173   EXPECT_EQ((0xFFu >> 1), i257.extractBitsAsZExtValue(16, 1));
2174   EXPECT_EQ(0xFFFFFFFFull, i257.extractBitsAsZExtValue(32, 64));
2175   EXPECT_EQ(0xFFFFFFFFFFFFFFFFull, i257.extractBitsAsZExtValue(64, 128));
2176   EXPECT_EQ(0xFFFFFFFFFFFFFFFFull, i257.extractBitsAsZExtValue(64, 192));
2177   EXPECT_EQ(0xFFFFFFFFFFFFFFFFull, i257.extractBitsAsZExtValue(64, 191));
2178   EXPECT_EQ(0x3u, i257.extractBitsAsZExtValue(2, 255));
2179   EXPECT_EQ(0xFFFFFFFFFF80007Full, i257.extractBitsAsZExtValue(64, 1));
2180   EXPECT_EQ(0xFFFFFFFFFFFFFFFFull, i257.extractBitsAsZExtValue(64, 65));
2181   EXPECT_EQ(0xFFFFFFFFFF80007Full, i257.extractBitsAsZExtValue(64, 1));
2182   EXPECT_EQ(0xFFFFFFFFFFFFFFFFull, i257.extractBitsAsZExtValue(64, 65));
2183   EXPECT_EQ(0x1ull, i257.extractBitsAsZExtValue(1, 129));
2184 
2185   EXPECT_EQ(APInt(48, 0),
2186             APInt(144, "281474976710655", 10).extractBitsAsZExtValue(48, 48));
2187   EXPECT_EQ(APInt(48, 0x0000ffffffffffffull),
2188             APInt(144, "281474976710655", 10).extractBitsAsZExtValue(48, 0));
2189   EXPECT_EQ(APInt(48, 0x00007fffffffffffull),
2190             APInt(144, "281474976710655", 10).extractBitsAsZExtValue(48, 1));
2191 }
2192 
2193 TEST(APIntTest, getLowBitsSet) {
2194   APInt i128lo64 = APInt::getLowBitsSet(128, 64);
2195   EXPECT_EQ(0u, i128lo64.countl_one());
2196   EXPECT_EQ(64u, i128lo64.countl_zero());
2197   EXPECT_EQ(64u, i128lo64.getActiveBits());
2198   EXPECT_EQ(0u, i128lo64.countr_zero());
2199   EXPECT_EQ(64u, i128lo64.countr_one());
2200   EXPECT_EQ(64u, i128lo64.popcount());
2201 }
2202 
2203 TEST(APIntTest, getBitsSet) {
2204   APInt i64hi1lo1 = APInt::getBitsSet(64, 1, 63);
2205   EXPECT_EQ(0u, i64hi1lo1.countl_one());
2206   EXPECT_EQ(1u, i64hi1lo1.countl_zero());
2207   EXPECT_EQ(63u, i64hi1lo1.getActiveBits());
2208   EXPECT_EQ(1u, i64hi1lo1.countr_zero());
2209   EXPECT_EQ(0u, i64hi1lo1.countr_one());
2210   EXPECT_EQ(62u, i64hi1lo1.popcount());
2211 
2212   APInt i127hi1lo1 = APInt::getBitsSet(127, 1, 126);
2213   EXPECT_EQ(0u, i127hi1lo1.countl_one());
2214   EXPECT_EQ(1u, i127hi1lo1.countl_zero());
2215   EXPECT_EQ(126u, i127hi1lo1.getActiveBits());
2216   EXPECT_EQ(1u, i127hi1lo1.countr_zero());
2217   EXPECT_EQ(0u, i127hi1lo1.countr_one());
2218   EXPECT_EQ(125u, i127hi1lo1.popcount());
2219 }
2220 
2221 TEST(APIntTest, getBitsSetWithWrap) {
2222   APInt i64hi1lo1 = APInt::getBitsSetWithWrap(64, 1, 63);
2223   EXPECT_EQ(0u, i64hi1lo1.countl_one());
2224   EXPECT_EQ(1u, i64hi1lo1.countl_zero());
2225   EXPECT_EQ(63u, i64hi1lo1.getActiveBits());
2226   EXPECT_EQ(1u, i64hi1lo1.countr_zero());
2227   EXPECT_EQ(0u, i64hi1lo1.countr_one());
2228   EXPECT_EQ(62u, i64hi1lo1.popcount());
2229 
2230   APInt i127hi1lo1 = APInt::getBitsSetWithWrap(127, 1, 126);
2231   EXPECT_EQ(0u, i127hi1lo1.countl_one());
2232   EXPECT_EQ(1u, i127hi1lo1.countl_zero());
2233   EXPECT_EQ(126u, i127hi1lo1.getActiveBits());
2234   EXPECT_EQ(1u, i127hi1lo1.countr_zero());
2235   EXPECT_EQ(0u, i127hi1lo1.countr_one());
2236   EXPECT_EQ(125u, i127hi1lo1.popcount());
2237 
2238   APInt i64hi1lo1wrap = APInt::getBitsSetWithWrap(64, 63, 1);
2239   EXPECT_EQ(1u, i64hi1lo1wrap.countl_one());
2240   EXPECT_EQ(0u, i64hi1lo1wrap.countl_zero());
2241   EXPECT_EQ(64u, i64hi1lo1wrap.getActiveBits());
2242   EXPECT_EQ(0u, i64hi1lo1wrap.countr_zero());
2243   EXPECT_EQ(1u, i64hi1lo1wrap.countr_one());
2244   EXPECT_EQ(2u, i64hi1lo1wrap.popcount());
2245 
2246   APInt i127hi1lo1wrap = APInt::getBitsSetWithWrap(127, 126, 1);
2247   EXPECT_EQ(1u, i127hi1lo1wrap.countl_one());
2248   EXPECT_EQ(0u, i127hi1lo1wrap.countl_zero());
2249   EXPECT_EQ(127u, i127hi1lo1wrap.getActiveBits());
2250   EXPECT_EQ(0u, i127hi1lo1wrap.countr_zero());
2251   EXPECT_EQ(1u, i127hi1lo1wrap.countr_one());
2252   EXPECT_EQ(2u, i127hi1lo1wrap.popcount());
2253 
2254   APInt i32hiequallowrap = APInt::getBitsSetWithWrap(32, 10, 10);
2255   EXPECT_EQ(32u, i32hiequallowrap.countl_one());
2256   EXPECT_EQ(0u, i32hiequallowrap.countl_zero());
2257   EXPECT_EQ(32u, i32hiequallowrap.getActiveBits());
2258   EXPECT_EQ(0u, i32hiequallowrap.countr_zero());
2259   EXPECT_EQ(32u, i32hiequallowrap.countr_one());
2260   EXPECT_EQ(32u, i32hiequallowrap.popcount());
2261 }
2262 
2263 TEST(APIntTest, getHighBitsSet) {
2264   APInt i64hi32 = APInt::getHighBitsSet(64, 32);
2265   EXPECT_EQ(32u, i64hi32.countl_one());
2266   EXPECT_EQ(0u, i64hi32.countl_zero());
2267   EXPECT_EQ(64u, i64hi32.getActiveBits());
2268   EXPECT_EQ(32u, i64hi32.countr_zero());
2269   EXPECT_EQ(0u, i64hi32.countr_one());
2270   EXPECT_EQ(32u, i64hi32.popcount());
2271 }
2272 
2273 TEST(APIntTest, getBitsSetFrom) {
2274   APInt i64hi31 = APInt::getBitsSetFrom(64, 33);
2275   EXPECT_EQ(31u, i64hi31.countl_one());
2276   EXPECT_EQ(0u, i64hi31.countl_zero());
2277   EXPECT_EQ(64u, i64hi31.getActiveBits());
2278   EXPECT_EQ(33u, i64hi31.countr_zero());
2279   EXPECT_EQ(0u, i64hi31.countr_one());
2280   EXPECT_EQ(31u, i64hi31.popcount());
2281 }
2282 
2283 TEST(APIntTest, setLowBits) {
2284   APInt i64lo32(64, 0);
2285   i64lo32.setLowBits(32);
2286   EXPECT_EQ(0u, i64lo32.countl_one());
2287   EXPECT_EQ(32u, i64lo32.countl_zero());
2288   EXPECT_EQ(32u, i64lo32.getActiveBits());
2289   EXPECT_EQ(0u, i64lo32.countr_zero());
2290   EXPECT_EQ(32u, i64lo32.countr_one());
2291   EXPECT_EQ(32u, i64lo32.popcount());
2292 
2293   APInt i128lo64(128, 0);
2294   i128lo64.setLowBits(64);
2295   EXPECT_EQ(0u, i128lo64.countl_one());
2296   EXPECT_EQ(64u, i128lo64.countl_zero());
2297   EXPECT_EQ(64u, i128lo64.getActiveBits());
2298   EXPECT_EQ(0u, i128lo64.countr_zero());
2299   EXPECT_EQ(64u, i128lo64.countr_one());
2300   EXPECT_EQ(64u, i128lo64.popcount());
2301 
2302   APInt i128lo24(128, 0);
2303   i128lo24.setLowBits(24);
2304   EXPECT_EQ(0u, i128lo24.countl_one());
2305   EXPECT_EQ(104u, i128lo24.countl_zero());
2306   EXPECT_EQ(24u, i128lo24.getActiveBits());
2307   EXPECT_EQ(0u, i128lo24.countr_zero());
2308   EXPECT_EQ(24u, i128lo24.countr_one());
2309   EXPECT_EQ(24u, i128lo24.popcount());
2310 
2311   APInt i128lo104(128, 0);
2312   i128lo104.setLowBits(104);
2313   EXPECT_EQ(0u, i128lo104.countl_one());
2314   EXPECT_EQ(24u, i128lo104.countl_zero());
2315   EXPECT_EQ(104u, i128lo104.getActiveBits());
2316   EXPECT_EQ(0u, i128lo104.countr_zero());
2317   EXPECT_EQ(104u, i128lo104.countr_one());
2318   EXPECT_EQ(104u, i128lo104.popcount());
2319 
2320   APInt i128lo0(128, 0);
2321   i128lo0.setLowBits(0);
2322   EXPECT_EQ(0u, i128lo0.countl_one());
2323   EXPECT_EQ(128u, i128lo0.countl_zero());
2324   EXPECT_EQ(0u, i128lo0.getActiveBits());
2325   EXPECT_EQ(128u, i128lo0.countr_zero());
2326   EXPECT_EQ(0u, i128lo0.countr_one());
2327   EXPECT_EQ(0u, i128lo0.popcount());
2328 
2329   APInt i80lo79(80, 0);
2330   i80lo79.setLowBits(79);
2331   EXPECT_EQ(0u, i80lo79.countl_one());
2332   EXPECT_EQ(1u, i80lo79.countl_zero());
2333   EXPECT_EQ(79u, i80lo79.getActiveBits());
2334   EXPECT_EQ(0u, i80lo79.countr_zero());
2335   EXPECT_EQ(79u, i80lo79.countr_one());
2336   EXPECT_EQ(79u, i80lo79.popcount());
2337 }
2338 
2339 TEST(APIntTest, setHighBits) {
2340   APInt i64hi32(64, 0);
2341   i64hi32.setHighBits(32);
2342   EXPECT_EQ(32u, i64hi32.countl_one());
2343   EXPECT_EQ(0u, i64hi32.countl_zero());
2344   EXPECT_EQ(64u, i64hi32.getActiveBits());
2345   EXPECT_EQ(32u, i64hi32.countr_zero());
2346   EXPECT_EQ(0u, i64hi32.countr_one());
2347   EXPECT_EQ(32u, i64hi32.popcount());
2348 
2349   APInt i128hi64(128, 0);
2350   i128hi64.setHighBits(64);
2351   EXPECT_EQ(64u, i128hi64.countl_one());
2352   EXPECT_EQ(0u, i128hi64.countl_zero());
2353   EXPECT_EQ(128u, i128hi64.getActiveBits());
2354   EXPECT_EQ(64u, i128hi64.countr_zero());
2355   EXPECT_EQ(0u, i128hi64.countr_one());
2356   EXPECT_EQ(64u, i128hi64.popcount());
2357 
2358   APInt i128hi24(128, 0);
2359   i128hi24.setHighBits(24);
2360   EXPECT_EQ(24u, i128hi24.countl_one());
2361   EXPECT_EQ(0u, i128hi24.countl_zero());
2362   EXPECT_EQ(128u, i128hi24.getActiveBits());
2363   EXPECT_EQ(104u, i128hi24.countr_zero());
2364   EXPECT_EQ(0u, i128hi24.countr_one());
2365   EXPECT_EQ(24u, i128hi24.popcount());
2366 
2367   APInt i128hi104(128, 0);
2368   i128hi104.setHighBits(104);
2369   EXPECT_EQ(104u, i128hi104.countl_one());
2370   EXPECT_EQ(0u, i128hi104.countl_zero());
2371   EXPECT_EQ(128u, i128hi104.getActiveBits());
2372   EXPECT_EQ(24u, i128hi104.countr_zero());
2373   EXPECT_EQ(0u, i128hi104.countr_one());
2374   EXPECT_EQ(104u, i128hi104.popcount());
2375 
2376   APInt i128hi0(128, 0);
2377   i128hi0.setHighBits(0);
2378   EXPECT_EQ(0u, i128hi0.countl_one());
2379   EXPECT_EQ(128u, i128hi0.countl_zero());
2380   EXPECT_EQ(0u, i128hi0.getActiveBits());
2381   EXPECT_EQ(128u, i128hi0.countr_zero());
2382   EXPECT_EQ(0u, i128hi0.countr_one());
2383   EXPECT_EQ(0u, i128hi0.popcount());
2384 
2385   APInt i80hi1(80, 0);
2386   i80hi1.setHighBits(1);
2387   EXPECT_EQ(1u, i80hi1.countl_one());
2388   EXPECT_EQ(0u, i80hi1.countl_zero());
2389   EXPECT_EQ(80u, i80hi1.getActiveBits());
2390   EXPECT_EQ(79u, i80hi1.countr_zero());
2391   EXPECT_EQ(0u, i80hi1.countr_one());
2392   EXPECT_EQ(1u, i80hi1.popcount());
2393 
2394   APInt i32hi16(32, 0);
2395   i32hi16.setHighBits(16);
2396   EXPECT_EQ(16u, i32hi16.countl_one());
2397   EXPECT_EQ(0u, i32hi16.countl_zero());
2398   EXPECT_EQ(32u, i32hi16.getActiveBits());
2399   EXPECT_EQ(16u, i32hi16.countr_zero());
2400   EXPECT_EQ(0u, i32hi16.countr_one());
2401   EXPECT_EQ(16u, i32hi16.popcount());
2402 }
2403 
2404 TEST(APIntTest, setBitsFrom) {
2405   APInt i64from63(64, 0);
2406   i64from63.setBitsFrom(63);
2407   EXPECT_EQ(1u, i64from63.countl_one());
2408   EXPECT_EQ(0u, i64from63.countl_zero());
2409   EXPECT_EQ(64u, i64from63.getActiveBits());
2410   EXPECT_EQ(63u, i64from63.countr_zero());
2411   EXPECT_EQ(0u, i64from63.countr_one());
2412   EXPECT_EQ(1u, i64from63.popcount());
2413 }
2414 
2415 TEST(APIntTest, setAllBits) {
2416   APInt i32(32, 0);
2417   i32.setAllBits();
2418   EXPECT_EQ(32u, i32.countl_one());
2419   EXPECT_EQ(0u, i32.countl_zero());
2420   EXPECT_EQ(32u, i32.getActiveBits());
2421   EXPECT_EQ(0u, i32.countr_zero());
2422   EXPECT_EQ(32u, i32.countr_one());
2423   EXPECT_EQ(32u, i32.popcount());
2424 
2425   APInt i64(64, 0);
2426   i64.setAllBits();
2427   EXPECT_EQ(64u, i64.countl_one());
2428   EXPECT_EQ(0u, i64.countl_zero());
2429   EXPECT_EQ(64u, i64.getActiveBits());
2430   EXPECT_EQ(0u, i64.countr_zero());
2431   EXPECT_EQ(64u, i64.countr_one());
2432   EXPECT_EQ(64u, i64.popcount());
2433 
2434   APInt i96(96, 0);
2435   i96.setAllBits();
2436   EXPECT_EQ(96u, i96.countl_one());
2437   EXPECT_EQ(0u, i96.countl_zero());
2438   EXPECT_EQ(96u, i96.getActiveBits());
2439   EXPECT_EQ(0u, i96.countr_zero());
2440   EXPECT_EQ(96u, i96.countr_one());
2441   EXPECT_EQ(96u, i96.popcount());
2442 
2443   APInt i128(128, 0);
2444   i128.setAllBits();
2445   EXPECT_EQ(128u, i128.countl_one());
2446   EXPECT_EQ(0u, i128.countl_zero());
2447   EXPECT_EQ(128u, i128.getActiveBits());
2448   EXPECT_EQ(0u, i128.countr_zero());
2449   EXPECT_EQ(128u, i128.countr_one());
2450   EXPECT_EQ(128u, i128.popcount());
2451 }
2452 
2453 TEST(APIntTest, getLoBits) {
2454   APInt i32(32, 0xfa);
2455   i32.setHighBits(1);
2456   EXPECT_EQ(0xa, i32.getLoBits(4));
2457   APInt i128(128, 0xfa);
2458   i128.setHighBits(1);
2459   EXPECT_EQ(0xa, i128.getLoBits(4));
2460 }
2461 
2462 TEST(APIntTest, getHiBits) {
2463   APInt i32(32, 0xfa);
2464   i32.setHighBits(2);
2465   EXPECT_EQ(0xc, i32.getHiBits(4));
2466   APInt i128(128, 0xfa);
2467   i128.setHighBits(2);
2468   EXPECT_EQ(0xc, i128.getHiBits(4));
2469 }
2470 
2471 TEST(APIntTest, clearLowBits) {
2472   APInt i64hi32 = APInt::getAllOnes(64);
2473   i64hi32.clearLowBits(32);
2474   EXPECT_EQ(32u, i64hi32.countl_one());
2475   EXPECT_EQ(0u, i64hi32.countl_zero());
2476   EXPECT_EQ(64u, i64hi32.getActiveBits());
2477   EXPECT_EQ(32u, i64hi32.countr_zero());
2478   EXPECT_EQ(0u, i64hi32.countr_one());
2479   EXPECT_EQ(32u, i64hi32.popcount());
2480 
2481   APInt i128hi64 = APInt::getAllOnes(128);
2482   i128hi64.clearLowBits(64);
2483   EXPECT_EQ(64u, i128hi64.countl_one());
2484   EXPECT_EQ(0u, i128hi64.countl_zero());
2485   EXPECT_EQ(128u, i128hi64.getActiveBits());
2486   EXPECT_EQ(64u, i128hi64.countr_zero());
2487   EXPECT_EQ(0u, i128hi64.countr_one());
2488   EXPECT_EQ(64u, i128hi64.popcount());
2489 
2490   APInt i128hi24 = APInt::getAllOnes(128);
2491   i128hi24.clearLowBits(104);
2492   EXPECT_EQ(24u, i128hi24.countl_one());
2493   EXPECT_EQ(0u, i128hi24.countl_zero());
2494   EXPECT_EQ(128u, i128hi24.getActiveBits());
2495   EXPECT_EQ(104u, i128hi24.countr_zero());
2496   EXPECT_EQ(0u, i128hi24.countr_one());
2497   EXPECT_EQ(24u, i128hi24.popcount());
2498 
2499   APInt i128hi104 = APInt::getAllOnes(128);
2500   i128hi104.clearLowBits(24);
2501   EXPECT_EQ(104u, i128hi104.countl_one());
2502   EXPECT_EQ(0u, i128hi104.countl_zero());
2503   EXPECT_EQ(128u, i128hi104.getActiveBits());
2504   EXPECT_EQ(24u, i128hi104.countr_zero());
2505   EXPECT_EQ(0u, i128hi104.countr_one());
2506   EXPECT_EQ(104u, i128hi104.popcount());
2507 
2508   APInt i128hi0 = APInt::getAllOnes(128);
2509   i128hi0.clearLowBits(128);
2510   EXPECT_EQ(0u, i128hi0.countl_one());
2511   EXPECT_EQ(128u, i128hi0.countl_zero());
2512   EXPECT_EQ(0u, i128hi0.getActiveBits());
2513   EXPECT_EQ(128u, i128hi0.countr_zero());
2514   EXPECT_EQ(0u, i128hi0.countr_one());
2515   EXPECT_EQ(0u, i128hi0.popcount());
2516 
2517   APInt i80hi1 = APInt::getAllOnes(80);
2518   i80hi1.clearLowBits(79);
2519   EXPECT_EQ(1u, i80hi1.countl_one());
2520   EXPECT_EQ(0u, i80hi1.countl_zero());
2521   EXPECT_EQ(80u, i80hi1.getActiveBits());
2522   EXPECT_EQ(79u, i80hi1.countr_zero());
2523   EXPECT_EQ(0u, i80hi1.countr_one());
2524   EXPECT_EQ(1u, i80hi1.popcount());
2525 
2526   APInt i32hi16 = APInt::getAllOnes(32);
2527   i32hi16.clearLowBits(16);
2528   EXPECT_EQ(16u, i32hi16.countl_one());
2529   EXPECT_EQ(0u, i32hi16.countl_zero());
2530   EXPECT_EQ(32u, i32hi16.getActiveBits());
2531   EXPECT_EQ(16u, i32hi16.countr_zero());
2532   EXPECT_EQ(0u, i32hi16.countr_one());
2533   EXPECT_EQ(16u, i32hi16.popcount());
2534 }
2535 
2536 TEST(APIntTest, abds) {
2537   using APIntOps::abds;
2538 
2539   APInt MaxU1(1, 1, false);
2540   APInt MinU1(1, 0, false);
2541   EXPECT_EQ(1u, abds(MaxU1, MinU1).getZExtValue());
2542   EXPECT_EQ(1u, abds(MinU1, MaxU1).getZExtValue());
2543 
2544   APInt MaxU4(4, 15, false);
2545   APInt MinU4(4, 0, false);
2546   EXPECT_EQ(1, abds(MaxU4, MinU4).getSExtValue());
2547   EXPECT_EQ(1, abds(MinU4, MaxU4).getSExtValue());
2548 
2549   APInt MaxS8(8, 127, true);
2550   APInt MinS8(8, -128, true);
2551   EXPECT_EQ(-1, abds(MaxS8, MinS8).getSExtValue());
2552   EXPECT_EQ(-1, abds(MinS8, MaxS8).getSExtValue());
2553 
2554   APInt MaxU16(16, 65535, false);
2555   APInt MinU16(16, 0, false);
2556   EXPECT_EQ(1, abds(MaxU16, MinU16).getSExtValue());
2557   EXPECT_EQ(1, abds(MinU16, MaxU16).getSExtValue());
2558 
2559   APInt MaxS16(16, 32767, true);
2560   APInt MinS16(16, -32768, true);
2561   APInt ZeroS16(16, 0, true);
2562   EXPECT_EQ(-1, abds(MaxS16, MinS16).getSExtValue());
2563   EXPECT_EQ(-1, abds(MinS16, MaxS16).getSExtValue());
2564   EXPECT_EQ(32768u, abds(ZeroS16, MinS16));
2565   EXPECT_EQ(32768u, abds(MinS16, ZeroS16));
2566   EXPECT_EQ(32767u, abds(ZeroS16, MaxS16));
2567   EXPECT_EQ(32767u, abds(MaxS16, ZeroS16));
2568 }
2569 
2570 TEST(APIntTest, abdu) {
2571   using APIntOps::abdu;
2572 
2573   APInt MaxU1(1, 1, false);
2574   APInt MinU1(1, 0, false);
2575   EXPECT_EQ(1u, abdu(MaxU1, MinU1).getZExtValue());
2576   EXPECT_EQ(1u, abdu(MinU1, MaxU1).getZExtValue());
2577 
2578   APInt MaxU4(4, 15, false);
2579   APInt MinU4(4, 0, false);
2580   EXPECT_EQ(15u, abdu(MaxU4, MinU4).getZExtValue());
2581   EXPECT_EQ(15u, abdu(MinU4, MaxU4).getZExtValue());
2582 
2583   APInt MaxS8(8, 127, true);
2584   APInt MinS8(8, -128, true);
2585   EXPECT_EQ(1u, abdu(MaxS8, MinS8).getZExtValue());
2586   EXPECT_EQ(1u, abdu(MinS8, MaxS8).getZExtValue());
2587 
2588   APInt MaxU16(16, 65535, false);
2589   APInt MinU16(16, 0, false);
2590   EXPECT_EQ(65535u, abdu(MaxU16, MinU16).getZExtValue());
2591   EXPECT_EQ(65535u, abdu(MinU16, MaxU16).getZExtValue());
2592 
2593   APInt MaxS16(16, 32767, true);
2594   APInt MinS16(16, -32768, true);
2595   APInt ZeroS16(16, 0, true);
2596   EXPECT_EQ(1u, abdu(MaxS16, MinS16).getZExtValue());
2597   EXPECT_EQ(1u, abdu(MinS16, MaxS16).getZExtValue());
2598   EXPECT_EQ(32768u, abdu(ZeroS16, MinS16));
2599   EXPECT_EQ(32768u, abdu(MinS16, ZeroS16));
2600   EXPECT_EQ(32767u, abdu(ZeroS16, MaxS16));
2601   EXPECT_EQ(32767u, abdu(MaxS16, ZeroS16));
2602 }
2603 
2604 TEST(APIntTest, GCD) {
2605   using APIntOps::GreatestCommonDivisor;
2606 
2607   for (unsigned Bits : {1, 2, 32, 63, 64, 65}) {
2608     // Test some corner cases near zero.
2609     APInt Zero(Bits, 0), One(Bits, 1);
2610     EXPECT_EQ(GreatestCommonDivisor(Zero, Zero), Zero);
2611     EXPECT_EQ(GreatestCommonDivisor(Zero, One), One);
2612     EXPECT_EQ(GreatestCommonDivisor(One, Zero), One);
2613     EXPECT_EQ(GreatestCommonDivisor(One, One), One);
2614 
2615     if (Bits > 1) {
2616       APInt Two(Bits, 2);
2617       EXPECT_EQ(GreatestCommonDivisor(Zero, Two), Two);
2618       EXPECT_EQ(GreatestCommonDivisor(One, Two), One);
2619       EXPECT_EQ(GreatestCommonDivisor(Two, Two), Two);
2620 
2621       // Test some corner cases near the highest representable value.
2622       APInt Max(Bits, 0);
2623       Max.setAllBits();
2624       EXPECT_EQ(GreatestCommonDivisor(Zero, Max), Max);
2625       EXPECT_EQ(GreatestCommonDivisor(One, Max), One);
2626       EXPECT_EQ(GreatestCommonDivisor(Two, Max), One);
2627       EXPECT_EQ(GreatestCommonDivisor(Max, Max), Max);
2628 
2629       APInt MaxOver2 = Max.udiv(Two);
2630       EXPECT_EQ(GreatestCommonDivisor(MaxOver2, Max), One);
2631       // Max - 1 == Max / 2 * 2, because Max is odd.
2632       EXPECT_EQ(GreatestCommonDivisor(MaxOver2, Max - 1), MaxOver2);
2633     }
2634   }
2635 
2636   // Compute the 20th Mersenne prime.
2637   const unsigned BitWidth = 4450;
2638   APInt HugePrime = APInt::getLowBitsSet(BitWidth, 4423);
2639 
2640   // 9931 and 123456 are coprime.
2641   APInt A = HugePrime * APInt(BitWidth, 9931);
2642   APInt B = HugePrime * APInt(BitWidth, 123456);
2643   APInt C = GreatestCommonDivisor(A, B);
2644   EXPECT_EQ(C, HugePrime);
2645 }
2646 
2647 TEST(APIntTest, LogicalRightShift) {
2648   APInt i256(APInt::getHighBitsSet(256, 2));
2649 
2650   i256.lshrInPlace(1);
2651   EXPECT_EQ(1U, i256.countl_zero());
2652   EXPECT_EQ(253U, i256.countr_zero());
2653   EXPECT_EQ(2U, i256.popcount());
2654 
2655   i256.lshrInPlace(62);
2656   EXPECT_EQ(63U, i256.countl_zero());
2657   EXPECT_EQ(191U, i256.countr_zero());
2658   EXPECT_EQ(2U, i256.popcount());
2659 
2660   i256.lshrInPlace(65);
2661   EXPECT_EQ(128U, i256.countl_zero());
2662   EXPECT_EQ(126U, i256.countr_zero());
2663   EXPECT_EQ(2U, i256.popcount());
2664 
2665   i256.lshrInPlace(64);
2666   EXPECT_EQ(192U, i256.countl_zero());
2667   EXPECT_EQ(62U, i256.countr_zero());
2668   EXPECT_EQ(2U, i256.popcount());
2669 
2670   i256.lshrInPlace(63);
2671   EXPECT_EQ(255U, i256.countl_zero());
2672   EXPECT_EQ(0U, i256.countr_zero());
2673   EXPECT_EQ(1U, i256.popcount());
2674 
2675   // Ensure we handle large shifts of multi-word.
2676   const APInt neg_one(128, static_cast<uint64_t>(-1), true);
2677   EXPECT_EQ(0, neg_one.lshr(128));
2678 }
2679 
2680 TEST(APIntTest, ArithmeticRightShift) {
2681   APInt i72(APInt::getHighBitsSet(72, 1));
2682   i72.ashrInPlace(46);
2683   EXPECT_EQ(47U, i72.countl_one());
2684   EXPECT_EQ(25U, i72.countr_zero());
2685   EXPECT_EQ(47U, i72.popcount());
2686 
2687   i72 = APInt::getHighBitsSet(72, 1);
2688   i72.ashrInPlace(64);
2689   EXPECT_EQ(65U, i72.countl_one());
2690   EXPECT_EQ(7U, i72.countr_zero());
2691   EXPECT_EQ(65U, i72.popcount());
2692 
2693   APInt i128(APInt::getHighBitsSet(128, 1));
2694   i128.ashrInPlace(64);
2695   EXPECT_EQ(65U, i128.countl_one());
2696   EXPECT_EQ(63U, i128.countr_zero());
2697   EXPECT_EQ(65U, i128.popcount());
2698 
2699   // Ensure we handle large shifts of multi-word.
2700   const APInt signmin32(APInt::getSignedMinValue(32));
2701   EXPECT_TRUE(signmin32.ashr(32).isAllOnes());
2702 
2703   // Ensure we handle large shifts of multi-word.
2704   const APInt umax32(APInt::getSignedMaxValue(32));
2705   EXPECT_EQ(0, umax32.ashr(32));
2706 
2707   // Ensure we handle large shifts of multi-word.
2708   const APInt signmin128(APInt::getSignedMinValue(128));
2709   EXPECT_TRUE(signmin128.ashr(128).isAllOnes());
2710 
2711   // Ensure we handle large shifts of multi-word.
2712   const APInt umax128(APInt::getSignedMaxValue(128));
2713   EXPECT_EQ(0, umax128.ashr(128));
2714 }
2715 
2716 TEST(APIntTest, LeftShift) {
2717   APInt i256(APInt::getLowBitsSet(256, 2));
2718 
2719   i256 <<= 1;
2720   EXPECT_EQ(253U, i256.countl_zero());
2721   EXPECT_EQ(1U, i256.countr_zero());
2722   EXPECT_EQ(2U, i256.popcount());
2723 
2724   i256 <<= 62;
2725   EXPECT_EQ(191U, i256.countl_zero());
2726   EXPECT_EQ(63U, i256.countr_zero());
2727   EXPECT_EQ(2U, i256.popcount());
2728 
2729   i256 <<= 65;
2730   EXPECT_EQ(126U, i256.countl_zero());
2731   EXPECT_EQ(128U, i256.countr_zero());
2732   EXPECT_EQ(2U, i256.popcount());
2733 
2734   i256 <<= 64;
2735   EXPECT_EQ(62U, i256.countl_zero());
2736   EXPECT_EQ(192U, i256.countr_zero());
2737   EXPECT_EQ(2U, i256.popcount());
2738 
2739   i256 <<= 63;
2740   EXPECT_EQ(0U, i256.countl_zero());
2741   EXPECT_EQ(255U, i256.countr_zero());
2742   EXPECT_EQ(1U, i256.popcount());
2743 
2744   // Ensure we handle large shifts of multi-word.
2745   const APInt neg_one(128, static_cast<uint64_t>(-1), true);
2746   EXPECT_EQ(0, neg_one.shl(128));
2747 }
2748 
2749 TEST(APIntTest, isSubsetOf) {
2750   APInt i32_1(32, 1);
2751   APInt i32_2(32, 2);
2752   APInt i32_3(32, 3);
2753   EXPECT_FALSE(i32_3.isSubsetOf(i32_1));
2754   EXPECT_TRUE(i32_1.isSubsetOf(i32_3));
2755   EXPECT_FALSE(i32_2.isSubsetOf(i32_1));
2756   EXPECT_FALSE(i32_1.isSubsetOf(i32_2));
2757   EXPECT_TRUE(i32_3.isSubsetOf(i32_3));
2758 
2759   APInt i128_1(128, 1);
2760   APInt i128_2(128, 2);
2761   APInt i128_3(128, 3);
2762   EXPECT_FALSE(i128_3.isSubsetOf(i128_1));
2763   EXPECT_TRUE(i128_1.isSubsetOf(i128_3));
2764   EXPECT_FALSE(i128_2.isSubsetOf(i128_1));
2765   EXPECT_FALSE(i128_1.isSubsetOf(i128_2));
2766   EXPECT_TRUE(i128_3.isSubsetOf(i128_3));
2767 
2768   i128_1 <<= 64;
2769   i128_2 <<= 64;
2770   i128_3 <<= 64;
2771   EXPECT_FALSE(i128_3.isSubsetOf(i128_1));
2772   EXPECT_TRUE(i128_1.isSubsetOf(i128_3));
2773   EXPECT_FALSE(i128_2.isSubsetOf(i128_1));
2774   EXPECT_FALSE(i128_1.isSubsetOf(i128_2));
2775   EXPECT_TRUE(i128_3.isSubsetOf(i128_3));
2776 }
2777 
2778 TEST(APIntTest, sext) {
2779   EXPECT_EQ(0, APInt(1, 0).sext(64));
2780   EXPECT_EQ(~uint64_t(0), APInt(1, 1).sext(64));
2781 
2782   APInt i32_max(APInt::getSignedMaxValue(32).sext(63));
2783   EXPECT_EQ(i32_max, i32_max.sext(63));
2784   EXPECT_EQ(32U, i32_max.countl_zero());
2785   EXPECT_EQ(0U, i32_max.countr_zero());
2786   EXPECT_EQ(31U, i32_max.popcount());
2787 
2788   APInt i32_min(APInt::getSignedMinValue(32).sext(63));
2789   EXPECT_EQ(i32_min, i32_min.sext(63));
2790   EXPECT_EQ(32U, i32_min.countl_one());
2791   EXPECT_EQ(31U, i32_min.countr_zero());
2792   EXPECT_EQ(32U, i32_min.popcount());
2793 
2794   APInt i32_neg1(APInt(32, ~uint64_t(0)).sext(63));
2795   EXPECT_EQ(i32_neg1, i32_neg1.sext(63));
2796   EXPECT_EQ(63U, i32_neg1.countl_one());
2797   EXPECT_EQ(0U, i32_neg1.countr_zero());
2798   EXPECT_EQ(63U, i32_neg1.popcount());
2799 }
2800 
2801 TEST(APIntTest, trunc) {
2802   APInt val(32, 0xFFFFFFFF);
2803   EXPECT_EQ(0xFFFF, val.trunc(16));
2804   EXPECT_EQ(0xFFFFFFFF, val.trunc(32));
2805 }
2806 
2807 TEST(APIntTest, concat) {
2808   APInt Int1(4, 0x1ULL);
2809   APInt Int3(4, 0x3ULL);
2810 
2811   EXPECT_EQ(0x31, Int3.concat(Int1));
2812   EXPECT_EQ(APInt(12, 0x313), Int3.concat(Int1).concat(Int3));
2813   EXPECT_EQ(APInt(16, 0x3313), Int3.concat(Int3).concat(Int1).concat(Int3));
2814 
2815   APInt I64(64, 0x3ULL);
2816   EXPECT_EQ(I64, I64.concat(I64).lshr(64).trunc(64));
2817 
2818   APInt I65(65, 0x3ULL);
2819   APInt I0 = APInt::getZeroWidth();
2820   EXPECT_EQ(I65, I65.concat(I0));
2821   EXPECT_EQ(I65, I0.concat(I65));
2822 }
2823 
2824 TEST(APIntTest, multiply) {
2825   APInt i64(64, 1234);
2826 
2827   EXPECT_EQ(7006652, i64 * 5678);
2828   EXPECT_EQ(7006652, 5678 * i64);
2829 
2830   APInt i128 = APInt::getOneBitSet(128, 64);
2831   APInt i128_1234(128, 1234);
2832   i128_1234 <<= 64;
2833   EXPECT_EQ(i128_1234, i128 * 1234);
2834   EXPECT_EQ(i128_1234, 1234 * i128);
2835 
2836   APInt i96 = APInt::getOneBitSet(96, 64);
2837   i96 *= ~0ULL;
2838   EXPECT_EQ(32U, i96.countl_one());
2839   EXPECT_EQ(32U, i96.popcount());
2840   EXPECT_EQ(64U, i96.countr_zero());
2841 }
2842 
2843 TEST(APIntTest, RoundingUDiv) {
2844   for (uint64_t Ai = 1; Ai <= 255; Ai++) {
2845     APInt A(8, Ai);
2846     APInt Zero(8, 0);
2847     EXPECT_EQ(0, APIntOps::RoundingUDiv(Zero, A, APInt::Rounding::UP));
2848     EXPECT_EQ(0, APIntOps::RoundingUDiv(Zero, A, APInt::Rounding::DOWN));
2849     EXPECT_EQ(0, APIntOps::RoundingUDiv(Zero, A, APInt::Rounding::TOWARD_ZERO));
2850 
2851     for (uint64_t Bi = 1; Bi <= 255; Bi++) {
2852       APInt B(8, Bi);
2853       {
2854         APInt Quo = APIntOps::RoundingUDiv(A, B, APInt::Rounding::UP);
2855         auto Prod = Quo.zext(16) * B.zext(16);
2856         EXPECT_TRUE(Prod.uge(Ai));
2857         if (Prod.ugt(Ai)) {
2858           EXPECT_TRUE(((Quo - 1).zext(16) * B.zext(16)).ult(Ai));
2859         }
2860       }
2861       {
2862         APInt Quo = A.udiv(B);
2863         EXPECT_EQ(Quo, APIntOps::RoundingUDiv(A, B, APInt::Rounding::TOWARD_ZERO));
2864         EXPECT_EQ(Quo, APIntOps::RoundingUDiv(A, B, APInt::Rounding::DOWN));
2865       }
2866     }
2867   }
2868 }
2869 
2870 TEST(APIntTest, RoundingSDiv) {
2871   for (int64_t Ai = -128; Ai <= 127; Ai++) {
2872     APInt A(8, Ai);
2873 
2874     if (Ai != 0) {
2875       APInt Zero(8, 0);
2876       EXPECT_EQ(0, APIntOps::RoundingSDiv(Zero, A, APInt::Rounding::UP));
2877       EXPECT_EQ(0, APIntOps::RoundingSDiv(Zero, A, APInt::Rounding::DOWN));
2878       EXPECT_EQ(0, APIntOps::RoundingSDiv(Zero, A, APInt::Rounding::TOWARD_ZERO));
2879     }
2880 
2881     for (int64_t Bi = -128; Bi <= 127; Bi++) {
2882       if (Bi == 0)
2883         continue;
2884 
2885       APInt B(8, Bi);
2886       APInt QuoTowardZero = A.sdiv(B);
2887       {
2888         APInt Quo = APIntOps::RoundingSDiv(A, B, APInt::Rounding::UP);
2889         if (A.srem(B).isZero()) {
2890           EXPECT_EQ(QuoTowardZero, Quo);
2891         } else if (A.isNegative() !=
2892                    B.isNegative()) { // if the math quotient is negative.
2893           EXPECT_EQ(QuoTowardZero, Quo);
2894         } else {
2895           EXPECT_EQ(QuoTowardZero + 1, Quo);
2896         }
2897       }
2898       {
2899         APInt Quo = APIntOps::RoundingSDiv(A, B, APInt::Rounding::DOWN);
2900         if (A.srem(B).isZero()) {
2901           EXPECT_EQ(QuoTowardZero, Quo);
2902         } else if (A.isNegative() !=
2903                    B.isNegative()) { // if the math quotient is negative.
2904           EXPECT_EQ(QuoTowardZero - 1, Quo);
2905         } else {
2906           EXPECT_EQ(QuoTowardZero, Quo);
2907         }
2908       }
2909       EXPECT_EQ(QuoTowardZero,
2910                 APIntOps::RoundingSDiv(A, B, APInt::Rounding::TOWARD_ZERO));
2911     }
2912   }
2913 }
2914 
2915 TEST(APIntTest, Average) {
2916   APInt A0(32, 0);
2917   APInt A2(32, 2);
2918   APInt A100(32, 100);
2919   APInt A101(32, 101);
2920   APInt A200(32, 200, false);
2921   APInt ApUMax(32, UINT_MAX, false);
2922 
2923   EXPECT_EQ(APInt(32, 150), APIntOps::avgFloorU(A100, A200));
2924   EXPECT_EQ(APIntOps::RoundingUDiv(A100 + A200, A2, APInt::Rounding::DOWN),
2925             APIntOps::avgFloorU(A100, A200));
2926   EXPECT_EQ(APIntOps::RoundingUDiv(A100 + A200, A2, APInt::Rounding::UP),
2927             APIntOps::avgCeilU(A100, A200));
2928   EXPECT_EQ(APIntOps::RoundingUDiv(A100 + A101, A2, APInt::Rounding::DOWN),
2929             APIntOps::avgFloorU(A100, A101));
2930   EXPECT_EQ(APIntOps::RoundingUDiv(A100 + A101, A2, APInt::Rounding::UP),
2931             APIntOps::avgCeilU(A100, A101));
2932   EXPECT_EQ(A0, APIntOps::avgFloorU(A0, A0));
2933   EXPECT_EQ(A0, APIntOps::avgCeilU(A0, A0));
2934   EXPECT_EQ(ApUMax, APIntOps::avgFloorU(ApUMax, ApUMax));
2935   EXPECT_EQ(ApUMax, APIntOps::avgCeilU(ApUMax, ApUMax));
2936   EXPECT_EQ(APIntOps::RoundingUDiv(ApUMax, A2, APInt::Rounding::DOWN),
2937             APIntOps::avgFloorU(A0, ApUMax));
2938   EXPECT_EQ(APIntOps::RoundingUDiv(ApUMax, A2, APInt::Rounding::UP),
2939             APIntOps::avgCeilU(A0, ApUMax));
2940 
2941   APInt Ap100(32, +100);
2942   APInt Ap101(32, +101);
2943   APInt Ap200(32, +200);
2944   APInt Am1(32, -1);
2945   APInt Am100(32, -100);
2946   APInt Am101(32, -101);
2947   APInt Am200(32, -200);
2948   APInt AmSMin(32, INT_MIN);
2949   APInt ApSMax(32, INT_MAX);
2950 
2951   EXPECT_EQ(APInt(32, +150), APIntOps::avgFloorS(Ap100, Ap200));
2952   EXPECT_EQ(APIntOps::RoundingSDiv(Ap100 + Ap200, A2, APInt::Rounding::DOWN),
2953             APIntOps::avgFloorS(Ap100, Ap200));
2954   EXPECT_EQ(APIntOps::RoundingSDiv(Ap100 + Ap200, A2, APInt::Rounding::UP),
2955             APIntOps::avgCeilS(Ap100, Ap200));
2956 
2957   EXPECT_EQ(APInt(32, -150), APIntOps::avgFloorS(Am100, Am200));
2958   EXPECT_EQ(APIntOps::RoundingSDiv(Am100 + Am200, A2, APInt::Rounding::DOWN),
2959             APIntOps::avgFloorS(Am100, Am200));
2960   EXPECT_EQ(APIntOps::RoundingSDiv(Am100 + Am200, A2, APInt::Rounding::UP),
2961             APIntOps::avgCeilS(Am100, Am200));
2962 
2963   EXPECT_EQ(APInt(32, +100), APIntOps::avgFloorS(Ap100, Ap101));
2964   EXPECT_EQ(APIntOps::RoundingSDiv(Ap100 + Ap101, A2, APInt::Rounding::DOWN),
2965             APIntOps::avgFloorS(Ap100, Ap101));
2966   EXPECT_EQ(APInt(32, +101), APIntOps::avgCeilS(Ap100, Ap101));
2967   EXPECT_EQ(APIntOps::RoundingSDiv(Ap100 + Ap101, A2, APInt::Rounding::UP),
2968             APIntOps::avgCeilS(Ap100, Ap101));
2969 
2970   EXPECT_EQ(APInt(32, -101), APIntOps::avgFloorS(Am100, Am101));
2971   EXPECT_EQ(APIntOps::RoundingSDiv(Am100 + Am101, A2, APInt::Rounding::DOWN),
2972             APIntOps::avgFloorS(Am100, Am101));
2973   EXPECT_EQ(APInt(32, -100), APIntOps::avgCeilS(Am100, Am101));
2974   EXPECT_EQ(APIntOps::RoundingSDiv(Am100 + Am101, A2, APInt::Rounding::UP),
2975             APIntOps::avgCeilS(Am100, Am101));
2976 
2977   EXPECT_EQ(AmSMin, APIntOps::avgFloorS(AmSMin, AmSMin));
2978   EXPECT_EQ(AmSMin, APIntOps::avgCeilS(AmSMin, AmSMin));
2979 
2980   EXPECT_EQ(APIntOps::RoundingSDiv(AmSMin, A2, APInt::Rounding::DOWN),
2981             APIntOps::avgFloorS(A0, AmSMin));
2982   EXPECT_EQ(APIntOps::RoundingSDiv(AmSMin, A2, APInt::Rounding::UP),
2983             APIntOps::avgCeilS(A0, AmSMin));
2984 
2985   EXPECT_EQ(A0, APIntOps::avgFloorS(A0, A0));
2986   EXPECT_EQ(A0, APIntOps::avgCeilS(A0, A0));
2987 
2988   EXPECT_EQ(Am1, APIntOps::avgFloorS(AmSMin, ApSMax));
2989   EXPECT_EQ(A0, APIntOps::avgCeilS(AmSMin, ApSMax));
2990 
2991   EXPECT_EQ(APIntOps::RoundingSDiv(ApSMax, A2, APInt::Rounding::DOWN),
2992             APIntOps::avgFloorS(A0, ApSMax));
2993   EXPECT_EQ(APIntOps::RoundingSDiv(ApSMax, A2, APInt::Rounding::UP),
2994             APIntOps::avgCeilS(A0, ApSMax));
2995 
2996   EXPECT_EQ(ApSMax, APIntOps::avgFloorS(ApSMax, ApSMax));
2997   EXPECT_EQ(ApSMax, APIntOps::avgCeilS(ApSMax, ApSMax));
2998 }
2999 
3000 TEST(APIntTest, umul_ov) {
3001   const std::pair<uint64_t, uint64_t> Overflows[] = {
3002       {0x8000000000000000, 2},
3003       {0x5555555555555556, 3},
3004       {4294967296, 4294967296},
3005       {4294967295, 4294967298},
3006   };
3007   const std::pair<uint64_t, uint64_t> NonOverflows[] = {
3008       {0x7fffffffffffffff, 2},
3009       {0x5555555555555555, 3},
3010       {4294967295, 4294967297},
3011   };
3012 
3013   bool Overflow;
3014   for (auto &X : Overflows) {
3015     APInt A(64, X.first);
3016     APInt B(64, X.second);
3017     (void)A.umul_ov(B, Overflow);
3018     EXPECT_TRUE(Overflow);
3019   }
3020   for (auto &X : NonOverflows) {
3021     APInt A(64, X.first);
3022     APInt B(64, X.second);
3023     (void)A.umul_ov(B, Overflow);
3024     EXPECT_FALSE(Overflow);
3025   }
3026 
3027   for (unsigned Bits = 1; Bits <= 5; ++Bits)
3028     for (unsigned A = 0; A != 1u << Bits; ++A)
3029       for (unsigned B = 0; B != 1u << Bits; ++B) {
3030         APInt N1 = APInt(Bits, A), N2 = APInt(Bits, B);
3031         APInt Narrow = N1.umul_ov(N2, Overflow);
3032         APInt Wide = N1.zext(2 * Bits) * N2.zext(2 * Bits);
3033         EXPECT_EQ(Wide.trunc(Bits), Narrow);
3034         EXPECT_EQ(Narrow.zext(2 * Bits) != Wide, Overflow);
3035       }
3036 }
3037 
3038 TEST(APIntTest, smul_ov) {
3039   for (unsigned Bits = 1; Bits <= 5; ++Bits)
3040     for (unsigned A = 0; A != 1u << Bits; ++A)
3041       for (unsigned B = 0; B != 1u << Bits; ++B) {
3042         bool Overflow;
3043         APInt N1 = APInt(Bits, A), N2 = APInt(Bits, B);
3044         APInt Narrow = N1.smul_ov(N2, Overflow);
3045         APInt Wide = N1.sext(2 * Bits) * N2.sext(2 * Bits);
3046         EXPECT_EQ(Wide.trunc(Bits), Narrow);
3047         EXPECT_EQ(Narrow.sext(2 * Bits) != Wide, Overflow);
3048       }
3049 }
3050 
3051 TEST(APIntTest, SolveQuadraticEquationWrap) {
3052   // Verify that "Solution" is the first non-negative integer that solves
3053   // Ax^2 + Bx + C = "0 or overflow", i.e. that it is a correct solution
3054   // as calculated by SolveQuadraticEquationWrap.
3055   auto Validate = [] (int A, int B, int C, unsigned Width, int Solution) {
3056     int Mask = (1 << Width) - 1;
3057 
3058     // Solution should be non-negative.
3059     EXPECT_GE(Solution, 0);
3060 
3061     auto OverflowBits = [] (int64_t V, unsigned W) {
3062       return V & -(1 << W);
3063     };
3064 
3065     int64_t Over0 = OverflowBits(C, Width);
3066 
3067     auto IsZeroOrOverflow = [&] (int X) {
3068       int64_t ValueAtX = A*X*X + B*X + C;
3069       int64_t OverX = OverflowBits(ValueAtX, Width);
3070       return (ValueAtX & Mask) == 0 || OverX != Over0;
3071     };
3072 
3073     auto EquationToString = [&] (const char *X_str) {
3074       return (Twine(A) + Twine(X_str) + Twine("^2 + ") + Twine(B) +
3075               Twine(X_str) + Twine(" + ") + Twine(C) + Twine(", bitwidth: ") +
3076               Twine(Width)).str();
3077     };
3078 
3079     auto IsSolution = [&] (const char *X_str, int X) {
3080       if (IsZeroOrOverflow(X))
3081         return ::testing::AssertionSuccess()
3082                   << X << " is a solution of " << EquationToString(X_str);
3083       return ::testing::AssertionFailure()
3084                 << X << " is not an expected solution of "
3085                 << EquationToString(X_str);
3086     };
3087 
3088     auto IsNotSolution = [&] (const char *X_str, int X) {
3089       if (!IsZeroOrOverflow(X))
3090         return ::testing::AssertionSuccess()
3091                   << X << " is not a solution of " << EquationToString(X_str);
3092       return ::testing::AssertionFailure()
3093                 << X << " is an unexpected solution of "
3094                 << EquationToString(X_str);
3095     };
3096 
3097     // This is the important part: make sure that there is no solution that
3098     // is less than the calculated one.
3099     if (Solution > 0) {
3100       for (int X = 1; X < Solution-1; ++X)
3101         EXPECT_PRED_FORMAT1(IsNotSolution, X);
3102     }
3103 
3104     // Verify that the calculated solution is indeed a solution.
3105     EXPECT_PRED_FORMAT1(IsSolution, Solution);
3106   };
3107 
3108   // Generate all possible quadratic equations with Width-bit wide integer
3109   // coefficients, get the solution from SolveQuadraticEquationWrap, and
3110   // verify that the solution is correct.
3111   auto Iterate = [&] (unsigned Width) {
3112     assert(1 < Width && Width < 32);
3113     int Low = -(1 << (Width-1));
3114     int High = (1 << (Width-1));
3115 
3116     for (int A = Low; A != High; ++A) {
3117       if (A == 0)
3118         continue;
3119       for (int B = Low; B != High; ++B) {
3120         for (int C = Low; C != High; ++C) {
3121           std::optional<APInt> S = APIntOps::SolveQuadraticEquationWrap(
3122               APInt(Width, A), APInt(Width, B), APInt(Width, C), Width);
3123           if (S)
3124             Validate(A, B, C, Width, S->getSExtValue());
3125         }
3126       }
3127     }
3128   };
3129 
3130   // Test all widths in [2..6].
3131   for (unsigned i = 2; i <= 6; ++i)
3132     Iterate(i);
3133 }
3134 
3135 TEST(APIntTest, MultiplicativeInverseExaustive) {
3136   for (unsigned BitWidth = 1; BitWidth <= 16; ++BitWidth) {
3137     for (unsigned Value = 0; Value < (1u << BitWidth); ++Value) {
3138       APInt V = APInt(BitWidth, Value);
3139       APInt MulInv =
3140           V.zext(BitWidth + 1)
3141               .multiplicativeInverse(APInt::getSignedMinValue(BitWidth + 1))
3142               .trunc(BitWidth);
3143       APInt One = V * MulInv;
3144       if (!V.isZero() && V.countr_zero() == 0) {
3145         // Multiplicative inverse exists for all odd numbers.
3146         EXPECT_TRUE(One.isOne());
3147       } else {
3148         // Multiplicative inverse does not exist for even numbers (and 0).
3149         EXPECT_TRUE(MulInv.isZero());
3150       }
3151     }
3152   }
3153 }
3154 
3155 TEST(APIntTest, GetMostSignificantDifferentBit) {
3156   EXPECT_EQ(APIntOps::GetMostSignificantDifferentBit(APInt(8, 0), APInt(8, 0)),
3157             std::nullopt);
3158   EXPECT_EQ(
3159       APIntOps::GetMostSignificantDifferentBit(APInt(8, 42), APInt(8, 42)),
3160       std::nullopt);
3161   EXPECT_EQ(*APIntOps::GetMostSignificantDifferentBit(APInt(8, 0), APInt(8, 1)),
3162             0u);
3163   EXPECT_EQ(*APIntOps::GetMostSignificantDifferentBit(APInt(8, 0), APInt(8, 2)),
3164             1u);
3165   EXPECT_EQ(*APIntOps::GetMostSignificantDifferentBit(APInt(8, 0), APInt(8, 3)),
3166             1u);
3167   EXPECT_EQ(*APIntOps::GetMostSignificantDifferentBit(APInt(8, 1), APInt(8, 0)),
3168             0u);
3169   EXPECT_EQ(APIntOps::GetMostSignificantDifferentBit(APInt(8, 1), APInt(8, 1)),
3170             std::nullopt);
3171   EXPECT_EQ(*APIntOps::GetMostSignificantDifferentBit(APInt(8, 1), APInt(8, 2)),
3172             1u);
3173   EXPECT_EQ(*APIntOps::GetMostSignificantDifferentBit(APInt(8, 1), APInt(8, 3)),
3174             1u);
3175   EXPECT_EQ(
3176       *APIntOps::GetMostSignificantDifferentBit(APInt(8, 42), APInt(8, 112)),
3177       6u);
3178 }
3179 
3180 TEST(APIntTest, GetMostSignificantDifferentBitExaustive) {
3181   auto GetHighestDifferentBitBruteforce =
3182       [](const APInt &V0, const APInt &V1) -> std::optional<unsigned> {
3183     assert(V0.getBitWidth() == V1.getBitWidth() && "Must have same bitwidth");
3184     if (V0 == V1)
3185       return std::nullopt; // Bitwise identical.
3186     // There is a mismatch. Let's find the most significant different bit.
3187     for (int Bit = V0.getBitWidth() - 1; Bit >= 0; --Bit) {
3188       if (V0[Bit] == V1[Bit])
3189         continue;
3190       return Bit;
3191     }
3192     llvm_unreachable("Must have found bit mismatch.");
3193   };
3194 
3195   for (unsigned BitWidth = 1; BitWidth <= 8; ++BitWidth) {
3196     for (unsigned V0 = 0; V0 < (1u << BitWidth); ++V0) {
3197       for (unsigned V1 = 0; V1 < (1u << BitWidth); ++V1) {
3198         APInt A = APInt(BitWidth, V0);
3199         APInt B = APInt(BitWidth, V1);
3200 
3201         auto Bit = APIntOps::GetMostSignificantDifferentBit(A, B);
3202         EXPECT_EQ(Bit, GetHighestDifferentBitBruteforce(A, B));
3203 
3204         if (!Bit)
3205           EXPECT_EQ(A, B);
3206         else {
3207           EXPECT_NE(A, B);
3208           for (unsigned NumLowBits = 0; NumLowBits <= BitWidth; ++NumLowBits) {
3209             APInt Adash = A;
3210             Adash.clearLowBits(NumLowBits);
3211             APInt Bdash = B;
3212             Bdash.clearLowBits(NumLowBits);
3213             // Clearing only low bits up to and including *Bit is sufficient
3214             // to make values equal.
3215             if (NumLowBits >= 1 + *Bit)
3216               EXPECT_EQ(Adash, Bdash);
3217             else
3218               EXPECT_NE(Adash, Bdash);
3219           }
3220         }
3221       }
3222     }
3223   }
3224 }
3225 
3226 TEST(APIntTest, SignbitZeroChecks) {
3227   EXPECT_TRUE(APInt(8, -1).isNegative());
3228   EXPECT_FALSE(APInt(8, -1).isNonNegative());
3229   EXPECT_FALSE(APInt(8, -1).isStrictlyPositive());
3230   EXPECT_TRUE(APInt(8, -1).isNonPositive());
3231 
3232   EXPECT_FALSE(APInt(8, 0).isNegative());
3233   EXPECT_TRUE(APInt(8, 0).isNonNegative());
3234   EXPECT_FALSE(APInt(8, 0).isStrictlyPositive());
3235   EXPECT_TRUE(APInt(8, 0).isNonPositive());
3236 
3237   EXPECT_FALSE(APInt(8, 1).isNegative());
3238   EXPECT_TRUE(APInt(8, 1).isNonNegative());
3239   EXPECT_TRUE(APInt(8, 1).isStrictlyPositive());
3240   EXPECT_FALSE(APInt(8, 1).isNonPositive());
3241 }
3242 
3243 TEST(APIntTest, ZeroWidth) {
3244   // Zero width Constructors.
3245   auto ZW = APInt::getZeroWidth();
3246   EXPECT_EQ(0U, ZW.getBitWidth());
3247   EXPECT_EQ(0U, APInt(0, ArrayRef<uint64_t>({0, 1, 2})).getBitWidth());
3248   EXPECT_EQ(0U, APInt(0, "0", 10).getBitWidth());
3249 
3250   // Default constructor is single bit wide.
3251   EXPECT_EQ(1U, APInt().getBitWidth());
3252 
3253   // Copy ctor (move is down below).
3254   APInt ZW2(ZW);
3255   EXPECT_EQ(0U, ZW2.getBitWidth());
3256   // Assignment
3257   ZW = ZW2;
3258   EXPECT_EQ(0U, ZW.getBitWidth());
3259 
3260   // Methods like getLowBitsSet work with zero bits.
3261   EXPECT_EQ(0U, APInt::getLowBitsSet(0, 0).getBitWidth());
3262   EXPECT_EQ(0U, APInt::getSplat(0, ZW).getBitWidth());
3263   EXPECT_EQ(0U, APInt(4, 10).extractBits(0, 2).getBitWidth());
3264   EXPECT_EQ(0U, APInt(4, 10).extractBitsAsZExtValue(0, 2));
3265 
3266   // Logical operators.
3267   ZW |= ZW2;
3268   ZW &= ZW2;
3269   ZW ^= ZW2;
3270   ZW |= 42; // These ignore high bits of the literal.
3271   ZW &= 42;
3272   ZW ^= 42;
3273   EXPECT_EQ(1, ZW.isIntN(0));
3274 
3275   // Modulo Arithmetic.  Divide/Rem aren't defined on division by zero, so they
3276   // aren't supported.
3277   ZW += ZW2;
3278   ZW -= ZW2;
3279   ZW *= ZW2;
3280 
3281   // Logical Shifts and rotates, the amount must be <= bitwidth.
3282   ZW <<= 0;
3283   ZW.lshrInPlace(0);
3284   (void)ZW.rotl(0);
3285   (void)ZW.rotr(0);
3286 
3287   // Comparisons.
3288   EXPECT_EQ(1, ZW == ZW);
3289   EXPECT_EQ(0, ZW != ZW);
3290   EXPECT_EQ(0, ZW.ult(ZW));
3291 
3292   // Mutations.
3293   ZW.setBitsWithWrap(0, 0);
3294   ZW.setBits(0, 0);
3295   ZW.clearAllBits();
3296   ZW.flipAllBits();
3297 
3298   // Leading, trailing, ctpop, etc
3299   EXPECT_EQ(0U, ZW.countl_zero());
3300   EXPECT_EQ(0U, ZW.countl_one());
3301   EXPECT_EQ(0U, ZW.popcount());
3302   EXPECT_EQ(0U, ZW.reverseBits().getBitWidth());
3303   EXPECT_EQ(0U, ZW.getHiBits(0).getBitWidth());
3304   EXPECT_EQ(0U, ZW.getLoBits(0).getBitWidth());
3305   EXPECT_EQ(0, ZW.zext(4));
3306   EXPECT_EQ(0U, APInt(4, 3).trunc(0).getBitWidth());
3307   EXPECT_TRUE(ZW.isAllOnes());
3308 
3309   // Zero extension.
3310   EXPECT_EQ(0U, ZW.getZExtValue());
3311 
3312   SmallString<42> STR;
3313   ZW.toStringUnsigned(STR);
3314   EXPECT_EQ("0", STR);
3315 
3316   // Move ctor (keep at the end of the method since moves are destructive).
3317   APInt MZW1(std::move(ZW));
3318   EXPECT_EQ(0U, MZW1.getBitWidth());
3319   // Move Assignment
3320   MZW1 = std::move(ZW2);
3321   EXPECT_EQ(0U, MZW1.getBitWidth());
3322 }
3323 
3324 TEST(APIntTest, ScaleBitMask) {
3325   EXPECT_EQ(APIntOps::ScaleBitMask(APInt(2, 0x00), 8), APInt(8, 0x00));
3326   EXPECT_EQ(APIntOps::ScaleBitMask(APInt(2, 0x01), 8), APInt(8, 0x0F));
3327   EXPECT_EQ(APIntOps::ScaleBitMask(APInt(2, 0x02), 8), APInt(8, 0xF0));
3328   EXPECT_EQ(APIntOps::ScaleBitMask(APInt(2, 0x03), 8), APInt(8, 0xFF));
3329 
3330   EXPECT_EQ(APIntOps::ScaleBitMask(APInt(8, 0x00), 4), APInt(4, 0x00));
3331   EXPECT_EQ(APIntOps::ScaleBitMask(APInt(8, 0xFF), 4), APInt(4, 0x0F));
3332   EXPECT_EQ(APIntOps::ScaleBitMask(APInt(8, 0xE4), 4), APInt(4, 0x0E));
3333 
3334   EXPECT_EQ(APIntOps::ScaleBitMask(APInt(8, 0x00), 8), APInt(8, 0x00));
3335 
3336   EXPECT_EQ(APIntOps::ScaleBitMask(APInt::getZero(1024), 4096),
3337             APInt::getZero(4096));
3338   EXPECT_EQ(APIntOps::ScaleBitMask(APInt::getAllOnes(4096), 256),
3339             APInt::getAllOnes(256));
3340   EXPECT_EQ(APIntOps::ScaleBitMask(APInt::getOneBitSet(4096, 32), 256),
3341             APInt::getOneBitSet(256, 2));
3342 
3343   EXPECT_EQ(APIntOps::ScaleBitMask(APInt(2, 0x00), 8, true), APInt(8, 0x00));
3344   EXPECT_EQ(APIntOps::ScaleBitMask(APInt(2, 0x01), 8, true), APInt(8, 0x0F));
3345   EXPECT_EQ(APIntOps::ScaleBitMask(APInt(2, 0x02), 8, true), APInt(8, 0xF0));
3346   EXPECT_EQ(APIntOps::ScaleBitMask(APInt(2, 0x03), 8, true), APInt(8, 0xFF));
3347 
3348   EXPECT_EQ(APIntOps::ScaleBitMask(APInt(8, 0x00), 4, true), APInt(4, 0x00));
3349   EXPECT_EQ(APIntOps::ScaleBitMask(APInt(8, 0xFF), 4, true), APInt(4, 0x0F));
3350   EXPECT_EQ(APIntOps::ScaleBitMask(APInt(8, 0xE4), 4, true), APInt(4, 0x08));
3351 }
3352 
3353 TEST(APIntTest, DenseMap) {
3354   DenseMap<APInt, int> Map;
3355   APInt ZeroWidthInt(0, 0, false);
3356   Map.insert({ZeroWidthInt, 0});
3357   Map.find(ZeroWidthInt);
3358 }
3359 
3360 TEST(APIntTest, TryExt) {
3361   APInt small(32, 42);
3362   APInt large(128, {0xffff, 0xffff});
3363   ASSERT_TRUE(small.tryZExtValue().has_value());
3364   ASSERT_TRUE(small.trySExtValue().has_value());
3365   ASSERT_FALSE(large.tryZExtValue().has_value());
3366   ASSERT_FALSE(large.trySExtValue().has_value());
3367   ASSERT_EQ(small.trySExtValue().value_or(41), 42);
3368   ASSERT_EQ(large.trySExtValue().value_or(41), 41);
3369 
3370   APInt negOne32(32, 0);
3371   negOne32.setAllBits();
3372   ASSERT_EQ(negOne32.trySExtValue().value_or(42), -1);
3373   APInt negOne64(64, 0);
3374   negOne64.setAllBits();
3375   ASSERT_EQ(negOne64.trySExtValue().value_or(42), -1);
3376   APInt negOne128(128, 0);
3377   negOne128.setAllBits();
3378   ASSERT_EQ(negOne128.trySExtValue().value_or(42), -1);
3379   ASSERT_EQ(42, APInt(128, -1).trySExtValue().value_or(42));
3380 }
3381 
3382 } // end anonymous namespace
3383