xref: /llvm-project/llvm/unittests/ADT/APIntTest.cpp (revision 9edfb08d935a3d4c2bd662732cd5a93254452f51)
1 //===- llvm/unittest/ADT/APInt.cpp - APInt unit tests ---------------------===//
2 //
3 //                     The LLVM Compiler Infrastructure
4 //
5 // This file is distributed under the University of Illinois Open Source
6 // License. See LICENSE.TXT for details.
7 //
8 //===----------------------------------------------------------------------===//
9 
10 #include "llvm/ADT/APInt.h"
11 #include "llvm/ADT/ArrayRef.h"
12 #include "llvm/ADT/SmallString.h"
13 #include "gtest/gtest.h"
14 #include <array>
15 
16 using namespace llvm;
17 
18 namespace {
19 
20 TEST(APIntTest, ValueInit) {
21   APInt Zero = APInt();
22   EXPECT_TRUE(!Zero);
23   EXPECT_TRUE(!Zero.zext(64));
24   EXPECT_TRUE(!Zero.sext(64));
25 }
26 
27 // Test that APInt shift left works when bitwidth > 64 and shiftamt == 0
28 TEST(APIntTest, ShiftLeftByZero) {
29   APInt One = APInt::getNullValue(65) + 1;
30   APInt Shl = One.shl(0);
31   EXPECT_TRUE(Shl[0]);
32   EXPECT_FALSE(Shl[1]);
33 }
34 
35 TEST(APIntTest, i64_ArithmeticRightShiftNegative) {
36   const APInt neg_one(64, static_cast<uint64_t>(-1), true);
37   EXPECT_EQ(neg_one, neg_one.ashr(7));
38 }
39 
40 TEST(APIntTest, i64_LogicalRightShiftNegative) {
41   const APInt neg_one(128, static_cast<uint64_t>(-1), true);
42   EXPECT_EQ(0, neg_one.lshr(257));
43 }
44 
45 TEST(APIntTest, i128_NegativeCount) {
46   APInt Minus3(128, static_cast<uint64_t>(-3), true);
47   EXPECT_EQ(126u, Minus3.countLeadingOnes());
48   EXPECT_EQ(-3, Minus3.getSExtValue());
49 
50   APInt Minus1(128, static_cast<uint64_t>(-1), true);
51   EXPECT_EQ(0u, Minus1.countLeadingZeros());
52   EXPECT_EQ(128u, Minus1.countLeadingOnes());
53   EXPECT_EQ(128u, Minus1.getActiveBits());
54   EXPECT_EQ(0u, Minus1.countTrailingZeros());
55   EXPECT_EQ(128u, Minus1.countTrailingOnes());
56   EXPECT_EQ(128u, Minus1.countPopulation());
57   EXPECT_EQ(-1, Minus1.getSExtValue());
58 }
59 
60 TEST(APIntTest, i33_Count) {
61   APInt i33minus2(33, static_cast<uint64_t>(-2), true);
62   EXPECT_EQ(0u, i33minus2.countLeadingZeros());
63   EXPECT_EQ(32u, i33minus2.countLeadingOnes());
64   EXPECT_EQ(33u, i33minus2.getActiveBits());
65   EXPECT_EQ(1u, i33minus2.countTrailingZeros());
66   EXPECT_EQ(32u, i33minus2.countPopulation());
67   EXPECT_EQ(-2, i33minus2.getSExtValue());
68   EXPECT_EQ(((uint64_t)-2)&((1ull<<33) -1), i33minus2.getZExtValue());
69 }
70 
71 TEST(APIntTest, i61_Count) {
72   APInt i61(61, 1 << 15);
73   EXPECT_EQ(45u, i61.countLeadingZeros());
74   EXPECT_EQ(0u, i61.countLeadingOnes());
75   EXPECT_EQ(16u, i61.getActiveBits());
76   EXPECT_EQ(15u, i61.countTrailingZeros());
77   EXPECT_EQ(1u, i61.countPopulation());
78   EXPECT_EQ(static_cast<int64_t>(1 << 15), i61.getSExtValue());
79   EXPECT_EQ(static_cast<uint64_t>(1 << 15), i61.getZExtValue());
80 
81   i61.setBits(8, 19);
82   EXPECT_EQ(42u, i61.countLeadingZeros());
83   EXPECT_EQ(0u, i61.countLeadingOnes());
84   EXPECT_EQ(19u, i61.getActiveBits());
85   EXPECT_EQ(8u, i61.countTrailingZeros());
86   EXPECT_EQ(11u, i61.countPopulation());
87   EXPECT_EQ(static_cast<int64_t>((1 << 19) - (1 << 8)), i61.getSExtValue());
88   EXPECT_EQ(static_cast<uint64_t>((1 << 19) - (1 << 8)), i61.getZExtValue());
89 }
90 
91 TEST(APIntTest, i65_Count) {
92   APInt i65(65, 0, true);
93   EXPECT_EQ(65u, i65.countLeadingZeros());
94   EXPECT_EQ(0u, i65.countLeadingOnes());
95   EXPECT_EQ(0u, i65.getActiveBits());
96   EXPECT_EQ(1u, i65.getActiveWords());
97   EXPECT_EQ(65u, i65.countTrailingZeros());
98   EXPECT_EQ(0u, i65.countPopulation());
99 
100   APInt i65minus(65, 0, true);
101   i65minus.setBit(64);
102   EXPECT_EQ(0u, i65minus.countLeadingZeros());
103   EXPECT_EQ(1u, i65minus.countLeadingOnes());
104   EXPECT_EQ(65u, i65minus.getActiveBits());
105   EXPECT_EQ(64u, i65minus.countTrailingZeros());
106   EXPECT_EQ(1u, i65minus.countPopulation());
107 }
108 
109 TEST(APIntTest, i128_PositiveCount) {
110   APInt u128max = APInt::getAllOnesValue(128);
111   EXPECT_EQ(128u, u128max.countLeadingOnes());
112   EXPECT_EQ(0u, u128max.countLeadingZeros());
113   EXPECT_EQ(128u, u128max.getActiveBits());
114   EXPECT_EQ(0u, u128max.countTrailingZeros());
115   EXPECT_EQ(128u, u128max.countTrailingOnes());
116   EXPECT_EQ(128u, u128max.countPopulation());
117 
118   APInt u64max(128, static_cast<uint64_t>(-1), false);
119   EXPECT_EQ(64u, u64max.countLeadingZeros());
120   EXPECT_EQ(0u, u64max.countLeadingOnes());
121   EXPECT_EQ(64u, u64max.getActiveBits());
122   EXPECT_EQ(0u, u64max.countTrailingZeros());
123   EXPECT_EQ(64u, u64max.countTrailingOnes());
124   EXPECT_EQ(64u, u64max.countPopulation());
125   EXPECT_EQ((uint64_t)~0ull, u64max.getZExtValue());
126 
127   APInt zero(128, 0, true);
128   EXPECT_EQ(128u, zero.countLeadingZeros());
129   EXPECT_EQ(0u, zero.countLeadingOnes());
130   EXPECT_EQ(0u, zero.getActiveBits());
131   EXPECT_EQ(128u, zero.countTrailingZeros());
132   EXPECT_EQ(0u, zero.countTrailingOnes());
133   EXPECT_EQ(0u, zero.countPopulation());
134   EXPECT_EQ(0u, zero.getSExtValue());
135   EXPECT_EQ(0u, zero.getZExtValue());
136 
137   APInt one(128, 1, true);
138   EXPECT_EQ(127u, one.countLeadingZeros());
139   EXPECT_EQ(0u, one.countLeadingOnes());
140   EXPECT_EQ(1u, one.getActiveBits());
141   EXPECT_EQ(0u, one.countTrailingZeros());
142   EXPECT_EQ(1u, one.countTrailingOnes());
143   EXPECT_EQ(1u, one.countPopulation());
144   EXPECT_EQ(1, one.getSExtValue());
145   EXPECT_EQ(1u, one.getZExtValue());
146 
147   APInt s128(128, 2, true);
148   EXPECT_EQ(126u, s128.countLeadingZeros());
149   EXPECT_EQ(0u, s128.countLeadingOnes());
150   EXPECT_EQ(2u, s128.getActiveBits());
151   EXPECT_EQ(1u, s128.countTrailingZeros());
152   EXPECT_EQ(0u, s128.countTrailingOnes());
153   EXPECT_EQ(1u, s128.countPopulation());
154   EXPECT_EQ(2, s128.getSExtValue());
155   EXPECT_EQ(2u, s128.getZExtValue());
156 
157   // NOP Test
158   s128.setBits(42, 42);
159   EXPECT_EQ(126u, s128.countLeadingZeros());
160   EXPECT_EQ(0u, s128.countLeadingOnes());
161   EXPECT_EQ(2u, s128.getActiveBits());
162   EXPECT_EQ(1u, s128.countTrailingZeros());
163   EXPECT_EQ(0u, s128.countTrailingOnes());
164   EXPECT_EQ(1u, s128.countPopulation());
165   EXPECT_EQ(2, s128.getSExtValue());
166   EXPECT_EQ(2u, s128.getZExtValue());
167 
168   s128.setBits(3, 32);
169   EXPECT_EQ(96u, s128.countLeadingZeros());
170   EXPECT_EQ(0u, s128.countLeadingOnes());
171   EXPECT_EQ(32u, s128.getActiveBits());
172   EXPECT_EQ(33u, s128.getMinSignedBits());
173   EXPECT_EQ(1u, s128.countTrailingZeros());
174   EXPECT_EQ(0u, s128.countTrailingOnes());
175   EXPECT_EQ(30u, s128.countPopulation());
176   EXPECT_EQ(static_cast<uint32_t>((~0u << 3) | 2), s128.getZExtValue());
177 
178   s128.setBits(62, 128);
179   EXPECT_EQ(0u, s128.countLeadingZeros());
180   EXPECT_EQ(66u, s128.countLeadingOnes());
181   EXPECT_EQ(128u, s128.getActiveBits());
182   EXPECT_EQ(63u, s128.getMinSignedBits());
183   EXPECT_EQ(1u, s128.countTrailingZeros());
184   EXPECT_EQ(0u, s128.countTrailingOnes());
185   EXPECT_EQ(96u, s128.countPopulation());
186   EXPECT_EQ(static_cast<int64_t>((3ull << 62) |
187                                  static_cast<uint32_t>((~0u << 3) | 2)),
188             s128.getSExtValue());
189 }
190 
191 TEST(APIntTest, i256) {
192   APInt s256(256, 15, true);
193   EXPECT_EQ(252u, s256.countLeadingZeros());
194   EXPECT_EQ(0u, s256.countLeadingOnes());
195   EXPECT_EQ(4u, s256.getActiveBits());
196   EXPECT_EQ(0u, s256.countTrailingZeros());
197   EXPECT_EQ(4u, s256.countTrailingOnes());
198   EXPECT_EQ(4u, s256.countPopulation());
199   EXPECT_EQ(15, s256.getSExtValue());
200   EXPECT_EQ(15u, s256.getZExtValue());
201 
202   s256.setBits(62, 66);
203   EXPECT_EQ(190u, s256.countLeadingZeros());
204   EXPECT_EQ(0u, s256.countLeadingOnes());
205   EXPECT_EQ(66u, s256.getActiveBits());
206   EXPECT_EQ(67u, s256.getMinSignedBits());
207   EXPECT_EQ(0u, s256.countTrailingZeros());
208   EXPECT_EQ(4u, s256.countTrailingOnes());
209   EXPECT_EQ(8u, s256.countPopulation());
210 
211   s256.setBits(60, 256);
212   EXPECT_EQ(0u, s256.countLeadingZeros());
213   EXPECT_EQ(196u, s256.countLeadingOnes());
214   EXPECT_EQ(256u, s256.getActiveBits());
215   EXPECT_EQ(61u, s256.getMinSignedBits());
216   EXPECT_EQ(0u, s256.countTrailingZeros());
217   EXPECT_EQ(4u, s256.countTrailingOnes());
218   EXPECT_EQ(200u, s256.countPopulation());
219   EXPECT_EQ(static_cast<int64_t>((~0ull << 60) | 15), s256.getSExtValue());
220 }
221 
222 TEST(APIntTest, i1) {
223   const APInt neg_two(1, static_cast<uint64_t>(-2), true);
224   const APInt neg_one(1, static_cast<uint64_t>(-1), true);
225   const APInt zero(1, 0);
226   const APInt one(1, 1);
227   const APInt two(1, 2);
228 
229   EXPECT_EQ(0, neg_two.getSExtValue());
230   EXPECT_EQ(-1, neg_one.getSExtValue());
231   EXPECT_EQ(1u, neg_one.getZExtValue());
232   EXPECT_EQ(0u, zero.getZExtValue());
233   EXPECT_EQ(-1, one.getSExtValue());
234   EXPECT_EQ(1u, one.getZExtValue());
235   EXPECT_EQ(0u, two.getZExtValue());
236   EXPECT_EQ(0, two.getSExtValue());
237 
238   // Basic equalities for 1-bit values.
239   EXPECT_EQ(zero, two);
240   EXPECT_EQ(zero, neg_two);
241   EXPECT_EQ(one, neg_one);
242   EXPECT_EQ(two, neg_two);
243 
244   // Min/max signed values.
245   EXPECT_TRUE(zero.isMaxSignedValue());
246   EXPECT_FALSE(one.isMaxSignedValue());
247   EXPECT_FALSE(zero.isMinSignedValue());
248   EXPECT_TRUE(one.isMinSignedValue());
249 
250   // Additions.
251   EXPECT_EQ(two, one + one);
252   EXPECT_EQ(zero, neg_one + one);
253   EXPECT_EQ(neg_two, neg_one + neg_one);
254 
255   // Subtractions.
256   EXPECT_EQ(neg_two, neg_one - one);
257   EXPECT_EQ(two, one - neg_one);
258   EXPECT_EQ(zero, one - one);
259 
260   // And
261   EXPECT_EQ(zero, zero & zero);
262   EXPECT_EQ(zero, one & zero);
263   EXPECT_EQ(zero, zero & one);
264   EXPECT_EQ(one, one & one);
265   EXPECT_EQ(zero, zero & zero);
266   EXPECT_EQ(zero, neg_one & zero);
267   EXPECT_EQ(zero, zero & neg_one);
268   EXPECT_EQ(neg_one, neg_one & neg_one);
269 
270   // Or
271   EXPECT_EQ(zero, zero | zero);
272   EXPECT_EQ(one, one | zero);
273   EXPECT_EQ(one, zero | one);
274   EXPECT_EQ(one, one | one);
275   EXPECT_EQ(zero, zero | zero);
276   EXPECT_EQ(neg_one, neg_one | zero);
277   EXPECT_EQ(neg_one, zero | neg_one);
278   EXPECT_EQ(neg_one, neg_one | neg_one);
279 
280   // Xor
281   EXPECT_EQ(zero, zero ^ zero);
282   EXPECT_EQ(one, one ^ zero);
283   EXPECT_EQ(one, zero ^ one);
284   EXPECT_EQ(zero, one ^ one);
285   EXPECT_EQ(zero, zero ^ zero);
286   EXPECT_EQ(neg_one, neg_one ^ zero);
287   EXPECT_EQ(neg_one, zero ^ neg_one);
288   EXPECT_EQ(zero, neg_one ^ neg_one);
289 
290   // Shifts.
291   EXPECT_EQ(zero, one << one);
292   EXPECT_EQ(one, one << zero);
293   EXPECT_EQ(zero, one.shl(1));
294   EXPECT_EQ(one, one.shl(0));
295   EXPECT_EQ(zero, one.lshr(1));
296   EXPECT_EQ(zero, one.ashr(1));
297 
298   // Rotates.
299   EXPECT_EQ(one, one.rotl(0));
300   EXPECT_EQ(one, one.rotl(1));
301   EXPECT_EQ(one, one.rotr(0));
302   EXPECT_EQ(one, one.rotr(1));
303 
304   // Multiplies.
305   EXPECT_EQ(neg_one, neg_one * one);
306   EXPECT_EQ(neg_one, one * neg_one);
307   EXPECT_EQ(one, neg_one * neg_one);
308   EXPECT_EQ(one, one * one);
309 
310   // Divides.
311   EXPECT_EQ(neg_one, one.sdiv(neg_one));
312   EXPECT_EQ(neg_one, neg_one.sdiv(one));
313   EXPECT_EQ(one, neg_one.sdiv(neg_one));
314   EXPECT_EQ(one, one.sdiv(one));
315 
316   EXPECT_EQ(neg_one, one.udiv(neg_one));
317   EXPECT_EQ(neg_one, neg_one.udiv(one));
318   EXPECT_EQ(one, neg_one.udiv(neg_one));
319   EXPECT_EQ(one, one.udiv(one));
320 
321   // Remainders.
322   EXPECT_EQ(zero, neg_one.srem(one));
323   EXPECT_EQ(zero, neg_one.urem(one));
324   EXPECT_EQ(zero, one.srem(neg_one));
325 
326   // sdivrem
327   {
328   APInt q(8, 0);
329   APInt r(8, 0);
330   APInt one(8, 1);
331   APInt two(8, 2);
332   APInt nine(8, 9);
333   APInt four(8, 4);
334 
335   EXPECT_EQ(nine.srem(two), one);
336   EXPECT_EQ(nine.srem(-two), one);
337   EXPECT_EQ((-nine).srem(two), -one);
338   EXPECT_EQ((-nine).srem(-two), -one);
339 
340   APInt::sdivrem(nine, two, q, r);
341   EXPECT_EQ(four, q);
342   EXPECT_EQ(one, r);
343   APInt::sdivrem(-nine, two, q, r);
344   EXPECT_EQ(-four, q);
345   EXPECT_EQ(-one, r);
346   APInt::sdivrem(nine, -two, q, r);
347   EXPECT_EQ(-four, q);
348   EXPECT_EQ(one, r);
349   APInt::sdivrem(-nine, -two, q, r);
350   EXPECT_EQ(four, q);
351   EXPECT_EQ(-one, r);
352   }
353 }
354 
355 TEST(APIntTest, compare) {
356   std::array<APInt, 5> testVals{{
357     APInt{16, 2},
358     APInt{16, 1},
359     APInt{16, 0},
360     APInt{16, (uint64_t)-1, true},
361     APInt{16, (uint64_t)-2, true},
362   }};
363 
364   for (auto &arg1 : testVals)
365     for (auto &arg2 : testVals) {
366       auto uv1 = arg1.getZExtValue();
367       auto uv2 = arg2.getZExtValue();
368       auto sv1 = arg1.getSExtValue();
369       auto sv2 = arg2.getSExtValue();
370 
371       EXPECT_EQ(uv1 <  uv2, arg1.ult(arg2));
372       EXPECT_EQ(uv1 <= uv2, arg1.ule(arg2));
373       EXPECT_EQ(uv1 >  uv2, arg1.ugt(arg2));
374       EXPECT_EQ(uv1 >= uv2, arg1.uge(arg2));
375 
376       EXPECT_EQ(sv1 <  sv2, arg1.slt(arg2));
377       EXPECT_EQ(sv1 <= sv2, arg1.sle(arg2));
378       EXPECT_EQ(sv1 >  sv2, arg1.sgt(arg2));
379       EXPECT_EQ(sv1 >= sv2, arg1.sge(arg2));
380 
381       EXPECT_EQ(uv1 <  uv2, arg1.ult(uv2));
382       EXPECT_EQ(uv1 <= uv2, arg1.ule(uv2));
383       EXPECT_EQ(uv1 >  uv2, arg1.ugt(uv2));
384       EXPECT_EQ(uv1 >= uv2, arg1.uge(uv2));
385 
386       EXPECT_EQ(sv1 <  sv2, arg1.slt(sv2));
387       EXPECT_EQ(sv1 <= sv2, arg1.sle(sv2));
388       EXPECT_EQ(sv1 >  sv2, arg1.sgt(sv2));
389       EXPECT_EQ(sv1 >= sv2, arg1.sge(sv2));
390     }
391 }
392 
393 TEST(APIntTest, compareWithRawIntegers) {
394   EXPECT_TRUE(!APInt(8, 1).uge(256));
395   EXPECT_TRUE(!APInt(8, 1).ugt(256));
396   EXPECT_TRUE( APInt(8, 1).ule(256));
397   EXPECT_TRUE( APInt(8, 1).ult(256));
398   EXPECT_TRUE(!APInt(8, 1).sge(256));
399   EXPECT_TRUE(!APInt(8, 1).sgt(256));
400   EXPECT_TRUE( APInt(8, 1).sle(256));
401   EXPECT_TRUE( APInt(8, 1).slt(256));
402   EXPECT_TRUE(!(APInt(8, 0) == 256));
403   EXPECT_TRUE(  APInt(8, 0) != 256);
404   EXPECT_TRUE(!(APInt(8, 1) == 256));
405   EXPECT_TRUE(  APInt(8, 1) != 256);
406 
407   auto uint64max = UINT64_MAX;
408   auto int64max  = INT64_MAX;
409   auto int64min  = INT64_MIN;
410 
411   auto u64 = APInt{128, uint64max};
412   auto s64 = APInt{128, static_cast<uint64_t>(int64max), true};
413   auto big = u64 + 1;
414 
415   EXPECT_TRUE( u64.uge(uint64max));
416   EXPECT_TRUE(!u64.ugt(uint64max));
417   EXPECT_TRUE( u64.ule(uint64max));
418   EXPECT_TRUE(!u64.ult(uint64max));
419   EXPECT_TRUE( u64.sge(int64max));
420   EXPECT_TRUE( u64.sgt(int64max));
421   EXPECT_TRUE(!u64.sle(int64max));
422   EXPECT_TRUE(!u64.slt(int64max));
423   EXPECT_TRUE( u64.sge(int64min));
424   EXPECT_TRUE( u64.sgt(int64min));
425   EXPECT_TRUE(!u64.sle(int64min));
426   EXPECT_TRUE(!u64.slt(int64min));
427 
428   EXPECT_TRUE(u64 == uint64max);
429   EXPECT_TRUE(u64 != int64max);
430   EXPECT_TRUE(u64 != int64min);
431 
432   EXPECT_TRUE(!s64.uge(uint64max));
433   EXPECT_TRUE(!s64.ugt(uint64max));
434   EXPECT_TRUE( s64.ule(uint64max));
435   EXPECT_TRUE( s64.ult(uint64max));
436   EXPECT_TRUE( s64.sge(int64max));
437   EXPECT_TRUE(!s64.sgt(int64max));
438   EXPECT_TRUE( s64.sle(int64max));
439   EXPECT_TRUE(!s64.slt(int64max));
440   EXPECT_TRUE( s64.sge(int64min));
441   EXPECT_TRUE( s64.sgt(int64min));
442   EXPECT_TRUE(!s64.sle(int64min));
443   EXPECT_TRUE(!s64.slt(int64min));
444 
445   EXPECT_TRUE(s64 != uint64max);
446   EXPECT_TRUE(s64 == int64max);
447   EXPECT_TRUE(s64 != int64min);
448 
449   EXPECT_TRUE( big.uge(uint64max));
450   EXPECT_TRUE( big.ugt(uint64max));
451   EXPECT_TRUE(!big.ule(uint64max));
452   EXPECT_TRUE(!big.ult(uint64max));
453   EXPECT_TRUE( big.sge(int64max));
454   EXPECT_TRUE( big.sgt(int64max));
455   EXPECT_TRUE(!big.sle(int64max));
456   EXPECT_TRUE(!big.slt(int64max));
457   EXPECT_TRUE( big.sge(int64min));
458   EXPECT_TRUE( big.sgt(int64min));
459   EXPECT_TRUE(!big.sle(int64min));
460   EXPECT_TRUE(!big.slt(int64min));
461 
462   EXPECT_TRUE(big != uint64max);
463   EXPECT_TRUE(big != int64max);
464   EXPECT_TRUE(big != int64min);
465 }
466 
467 TEST(APIntTest, compareWithInt64Min) {
468   int64_t edge = INT64_MIN;
469   int64_t edgeP1 = edge + 1;
470   int64_t edgeM1 = INT64_MAX;
471   auto a = APInt{64, static_cast<uint64_t>(edge), true};
472 
473   EXPECT_TRUE(!a.slt(edge));
474   EXPECT_TRUE( a.sle(edge));
475   EXPECT_TRUE(!a.sgt(edge));
476   EXPECT_TRUE( a.sge(edge));
477   EXPECT_TRUE( a.slt(edgeP1));
478   EXPECT_TRUE( a.sle(edgeP1));
479   EXPECT_TRUE(!a.sgt(edgeP1));
480   EXPECT_TRUE(!a.sge(edgeP1));
481   EXPECT_TRUE( a.slt(edgeM1));
482   EXPECT_TRUE( a.sle(edgeM1));
483   EXPECT_TRUE(!a.sgt(edgeM1));
484   EXPECT_TRUE(!a.sge(edgeM1));
485 }
486 
487 TEST(APIntTest, compareWithHalfInt64Max) {
488   uint64_t edge = 0x4000000000000000;
489   uint64_t edgeP1 = edge + 1;
490   uint64_t edgeM1 = edge - 1;
491   auto a = APInt{64, edge};
492 
493   EXPECT_TRUE(!a.ult(edge));
494   EXPECT_TRUE( a.ule(edge));
495   EXPECT_TRUE(!a.ugt(edge));
496   EXPECT_TRUE( a.uge(edge));
497   EXPECT_TRUE( a.ult(edgeP1));
498   EXPECT_TRUE( a.ule(edgeP1));
499   EXPECT_TRUE(!a.ugt(edgeP1));
500   EXPECT_TRUE(!a.uge(edgeP1));
501   EXPECT_TRUE(!a.ult(edgeM1));
502   EXPECT_TRUE(!a.ule(edgeM1));
503   EXPECT_TRUE( a.ugt(edgeM1));
504   EXPECT_TRUE( a.uge(edgeM1));
505 
506   EXPECT_TRUE(!a.slt(edge));
507   EXPECT_TRUE( a.sle(edge));
508   EXPECT_TRUE(!a.sgt(edge));
509   EXPECT_TRUE( a.sge(edge));
510   EXPECT_TRUE( a.slt(edgeP1));
511   EXPECT_TRUE( a.sle(edgeP1));
512   EXPECT_TRUE(!a.sgt(edgeP1));
513   EXPECT_TRUE(!a.sge(edgeP1));
514   EXPECT_TRUE(!a.slt(edgeM1));
515   EXPECT_TRUE(!a.sle(edgeM1));
516   EXPECT_TRUE( a.sgt(edgeM1));
517   EXPECT_TRUE( a.sge(edgeM1));
518 }
519 
520 TEST(APIntTest, compareLargeIntegers) {
521   // Make sure all the combinations of signed comparisons work with big ints.
522   auto One = APInt{128, static_cast<uint64_t>(1), true};
523   auto Two = APInt{128, static_cast<uint64_t>(2), true};
524   auto MinusOne = APInt{128, static_cast<uint64_t>(-1), true};
525   auto MinusTwo = APInt{128, static_cast<uint64_t>(-2), true};
526 
527   EXPECT_TRUE(!One.slt(One));
528   EXPECT_TRUE(!Two.slt(One));
529   EXPECT_TRUE(MinusOne.slt(One));
530   EXPECT_TRUE(MinusTwo.slt(One));
531 
532   EXPECT_TRUE(One.slt(Two));
533   EXPECT_TRUE(!Two.slt(Two));
534   EXPECT_TRUE(MinusOne.slt(Two));
535   EXPECT_TRUE(MinusTwo.slt(Two));
536 
537   EXPECT_TRUE(!One.slt(MinusOne));
538   EXPECT_TRUE(!Two.slt(MinusOne));
539   EXPECT_TRUE(!MinusOne.slt(MinusOne));
540   EXPECT_TRUE(MinusTwo.slt(MinusOne));
541 
542   EXPECT_TRUE(!One.slt(MinusTwo));
543   EXPECT_TRUE(!Two.slt(MinusTwo));
544   EXPECT_TRUE(!MinusOne.slt(MinusTwo));
545   EXPECT_TRUE(!MinusTwo.slt(MinusTwo));
546 }
547 
548 TEST(APIntTest, binaryOpsWithRawIntegers) {
549   // Single word check.
550   uint64_t E1 = 0x2CA7F46BF6569915ULL;
551   APInt A1(64, E1);
552 
553   EXPECT_EQ(A1 & E1, E1);
554   EXPECT_EQ(A1 & 0, 0);
555   EXPECT_EQ(A1 & 1, 1);
556   EXPECT_EQ(A1 & 5, 5);
557   EXPECT_EQ(A1 & UINT64_MAX, E1);
558 
559   EXPECT_EQ(A1 | E1, E1);
560   EXPECT_EQ(A1 | 0, E1);
561   EXPECT_EQ(A1 | 1, E1);
562   EXPECT_EQ(A1 | 2, E1 | 2);
563   EXPECT_EQ(A1 | UINT64_MAX, UINT64_MAX);
564 
565   EXPECT_EQ(A1 ^ E1, 0);
566   EXPECT_EQ(A1 ^ 0, E1);
567   EXPECT_EQ(A1 ^ 1, E1 ^ 1);
568   EXPECT_EQ(A1 ^ 7, E1 ^ 7);
569   EXPECT_EQ(A1 ^ UINT64_MAX, ~E1);
570 
571   // Multiword check.
572   uint64_t N = 0xEB6EB136591CBA21ULL;
573   APInt::WordType E2[4] = {
574     N,
575     0x7B9358BD6A33F10AULL,
576     0x7E7FFA5EADD8846ULL,
577     0x305F341CA00B613DULL
578   };
579   APInt A2(APInt::APINT_BITS_PER_WORD*4, E2);
580 
581   EXPECT_EQ(A2 & N, N);
582   EXPECT_EQ(A2 & 0, 0);
583   EXPECT_EQ(A2 & 1, 1);
584   EXPECT_EQ(A2 & 5, 1);
585   EXPECT_EQ(A2 & UINT64_MAX, N);
586 
587   EXPECT_EQ(A2 | N, A2);
588   EXPECT_EQ(A2 | 0, A2);
589   EXPECT_EQ(A2 | 1, A2);
590   EXPECT_EQ(A2 | 2, A2 + 2);
591   EXPECT_EQ(A2 | UINT64_MAX, A2 - N + UINT64_MAX);
592 
593   EXPECT_EQ(A2 ^ N, A2 - N);
594   EXPECT_EQ(A2 ^ 0, A2);
595   EXPECT_EQ(A2 ^ 1, A2 - 1);
596   EXPECT_EQ(A2 ^ 7, A2 + 5);
597   EXPECT_EQ(A2 ^ UINT64_MAX, A2 - N + ~N);
598 }
599 
600 TEST(APIntTest, rvalue_arithmetic) {
601   // Test all combinations of lvalue/rvalue lhs/rhs of add/sub
602 
603   // Lamdba to return an APInt by value, but also provide the raw value of the
604   // allocated data.
605   auto getRValue = [](const char *HexString, uint64_t const *&RawData) {
606     APInt V(129, HexString, 16);
607     RawData = V.getRawData();
608     return V;
609   };
610 
611   APInt One(129, "1", 16);
612   APInt Two(129, "2", 16);
613   APInt Three(129, "3", 16);
614   APInt MinusOne = -One;
615 
616   const uint64_t *RawDataL = nullptr;
617   const uint64_t *RawDataR = nullptr;
618 
619   {
620     // 1 + 1 = 2
621     APInt AddLL = One + One;
622     EXPECT_EQ(AddLL, Two);
623 
624     APInt AddLR = One + getRValue("1", RawDataR);
625     EXPECT_EQ(AddLR, Two);
626     EXPECT_EQ(AddLR.getRawData(), RawDataR);
627 
628     APInt AddRL = getRValue("1", RawDataL) + One;
629     EXPECT_EQ(AddRL, Two);
630     EXPECT_EQ(AddRL.getRawData(), RawDataL);
631 
632     APInt AddRR = getRValue("1", RawDataL) + getRValue("1", RawDataR);
633     EXPECT_EQ(AddRR, Two);
634     EXPECT_EQ(AddRR.getRawData(), RawDataR);
635 
636     // LValue's and constants
637     APInt AddLK = One + 1;
638     EXPECT_EQ(AddLK, Two);
639 
640     APInt AddKL = 1 + One;
641     EXPECT_EQ(AddKL, Two);
642 
643     // RValue's and constants
644     APInt AddRK = getRValue("1", RawDataL) + 1;
645     EXPECT_EQ(AddRK, Two);
646     EXPECT_EQ(AddRK.getRawData(), RawDataL);
647 
648     APInt AddKR = 1 + getRValue("1", RawDataR);
649     EXPECT_EQ(AddKR, Two);
650     EXPECT_EQ(AddKR.getRawData(), RawDataR);
651   }
652 
653   {
654     // 0x0,FFFF...FFFF + 0x2 = 0x100...0001
655     APInt AllOnes(129, "0FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF", 16);
656     APInt HighOneLowOne(129, "100000000000000000000000000000001", 16);
657 
658     APInt AddLL = AllOnes + Two;
659     EXPECT_EQ(AddLL, HighOneLowOne);
660 
661     APInt AddLR = AllOnes + getRValue("2", RawDataR);
662     EXPECT_EQ(AddLR, HighOneLowOne);
663     EXPECT_EQ(AddLR.getRawData(), RawDataR);
664 
665     APInt AddRL = getRValue("FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF", RawDataL) + Two;
666     EXPECT_EQ(AddRL, HighOneLowOne);
667     EXPECT_EQ(AddRL.getRawData(), RawDataL);
668 
669     APInt AddRR = getRValue("FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF", RawDataL) +
670                   getRValue("2", RawDataR);
671     EXPECT_EQ(AddRR, HighOneLowOne);
672     EXPECT_EQ(AddRR.getRawData(), RawDataR);
673 
674     // LValue's and constants
675     APInt AddLK = AllOnes + 2;
676     EXPECT_EQ(AddLK, HighOneLowOne);
677 
678     APInt AddKL = 2 + AllOnes;
679     EXPECT_EQ(AddKL, HighOneLowOne);
680 
681     // RValue's and constants
682     APInt AddRK = getRValue("FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF", RawDataL) + 2;
683     EXPECT_EQ(AddRK, HighOneLowOne);
684     EXPECT_EQ(AddRK.getRawData(), RawDataL);
685 
686     APInt AddKR = 2 + getRValue("FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF", RawDataR);
687     EXPECT_EQ(AddKR, HighOneLowOne);
688     EXPECT_EQ(AddKR.getRawData(), RawDataR);
689   }
690 
691   {
692     // 2 - 1 = 1
693     APInt SubLL = Two - One;
694     EXPECT_EQ(SubLL, One);
695 
696     APInt SubLR = Two - getRValue("1", RawDataR);
697     EXPECT_EQ(SubLR, One);
698     EXPECT_EQ(SubLR.getRawData(), RawDataR);
699 
700     APInt SubRL = getRValue("2", RawDataL) - One;
701     EXPECT_EQ(SubRL, One);
702     EXPECT_EQ(SubRL.getRawData(), RawDataL);
703 
704     APInt SubRR = getRValue("2", RawDataL) - getRValue("1", RawDataR);
705     EXPECT_EQ(SubRR, One);
706     EXPECT_EQ(SubRR.getRawData(), RawDataR);
707 
708     // LValue's and constants
709     APInt SubLK = Two - 1;
710     EXPECT_EQ(SubLK, One);
711 
712     APInt SubKL = 2 - One;
713     EXPECT_EQ(SubKL, One);
714 
715     // RValue's and constants
716     APInt SubRK = getRValue("2", RawDataL) - 1;
717     EXPECT_EQ(SubRK, One);
718     EXPECT_EQ(SubRK.getRawData(), RawDataL);
719 
720     APInt SubKR = 2 - getRValue("1", RawDataR);
721     EXPECT_EQ(SubKR, One);
722     EXPECT_EQ(SubKR.getRawData(), RawDataR);
723   }
724 
725   {
726     // 0x100...0001 - 0x0,FFFF...FFFF = 0x2
727     APInt AllOnes(129, "0FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF", 16);
728     APInt HighOneLowOne(129, "100000000000000000000000000000001", 16);
729 
730     APInt SubLL = HighOneLowOne - AllOnes;
731     EXPECT_EQ(SubLL, Two);
732 
733     APInt SubLR = HighOneLowOne -
734                   getRValue("0FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF", RawDataR);
735     EXPECT_EQ(SubLR, Two);
736     EXPECT_EQ(SubLR.getRawData(), RawDataR);
737 
738     APInt SubRL = getRValue("100000000000000000000000000000001", RawDataL) -
739                   AllOnes;
740     EXPECT_EQ(SubRL, Two);
741     EXPECT_EQ(SubRL.getRawData(), RawDataL);
742 
743     APInt SubRR = getRValue("100000000000000000000000000000001", RawDataL) -
744                   getRValue("0FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF", RawDataR);
745     EXPECT_EQ(SubRR, Two);
746     EXPECT_EQ(SubRR.getRawData(), RawDataR);
747 
748     // LValue's and constants
749     // 0x100...0001 - 0x2 = 0x0,FFFF...FFFF
750     APInt SubLK = HighOneLowOne - 2;
751     EXPECT_EQ(SubLK, AllOnes);
752 
753     // 2 - (-1) = 3
754     APInt SubKL = 2 - MinusOne;
755     EXPECT_EQ(SubKL, Three);
756 
757     // RValue's and constants
758     // 0x100...0001 - 0x2 = 0x0,FFFF...FFFF
759     APInt SubRK = getRValue("100000000000000000000000000000001", RawDataL) - 2;
760     EXPECT_EQ(SubRK, AllOnes);
761     EXPECT_EQ(SubRK.getRawData(), RawDataL);
762 
763     APInt SubKR = 2 - getRValue("1FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF", RawDataR);
764     EXPECT_EQ(SubKR, Three);
765     EXPECT_EQ(SubKR.getRawData(), RawDataR);
766   }
767 }
768 
769 TEST(APIntTest, rvalue_bitwise) {
770   // Test all combinations of lvalue/rvalue lhs/rhs of and/or/xor
771 
772   // Lamdba to return an APInt by value, but also provide the raw value of the
773   // allocated data.
774   auto getRValue = [](const char *HexString, uint64_t const *&RawData) {
775     APInt V(129, HexString, 16);
776     RawData = V.getRawData();
777     return V;
778   };
779 
780   APInt Ten(129, "A", 16);
781   APInt Twelve(129, "C", 16);
782 
783   const uint64_t *RawDataL = nullptr;
784   const uint64_t *RawDataR = nullptr;
785 
786   {
787     // 12 & 10 = 8
788     APInt AndLL = Ten & Twelve;
789     EXPECT_EQ(AndLL, 0x8);
790 
791     APInt AndLR = Ten & getRValue("C", RawDataR);
792     EXPECT_EQ(AndLR, 0x8);
793     EXPECT_EQ(AndLR.getRawData(), RawDataR);
794 
795     APInt AndRL = getRValue("A", RawDataL) & Twelve;
796     EXPECT_EQ(AndRL, 0x8);
797     EXPECT_EQ(AndRL.getRawData(), RawDataL);
798 
799     APInt AndRR = getRValue("A", RawDataL) & getRValue("C", RawDataR);
800     EXPECT_EQ(AndRR, 0x8);
801     EXPECT_EQ(AndRR.getRawData(), RawDataR);
802 
803     // LValue's and constants
804     APInt AndLK = Ten & 0xc;
805     EXPECT_EQ(AndLK, 0x8);
806 
807     APInt AndKL = 0xa & Twelve;
808     EXPECT_EQ(AndKL, 0x8);
809 
810     // RValue's and constants
811     APInt AndRK = getRValue("A", RawDataL) & 0xc;
812     EXPECT_EQ(AndRK, 0x8);
813     EXPECT_EQ(AndRK.getRawData(), RawDataL);
814 
815     APInt AndKR = 0xa & getRValue("C", RawDataR);
816     EXPECT_EQ(AndKR, 0x8);
817     EXPECT_EQ(AndKR.getRawData(), RawDataR);
818   }
819 
820   {
821     // 12 | 10 = 14
822     APInt OrLL = Ten | Twelve;
823     EXPECT_EQ(OrLL, 0xe);
824 
825     APInt OrLR = Ten | getRValue("C", RawDataR);
826     EXPECT_EQ(OrLR, 0xe);
827     EXPECT_EQ(OrLR.getRawData(), RawDataR);
828 
829     APInt OrRL = getRValue("A", RawDataL) | Twelve;
830     EXPECT_EQ(OrRL, 0xe);
831     EXPECT_EQ(OrRL.getRawData(), RawDataL);
832 
833     APInt OrRR = getRValue("A", RawDataL) | getRValue("C", RawDataR);
834     EXPECT_EQ(OrRR, 0xe);
835     EXPECT_EQ(OrRR.getRawData(), RawDataR);
836 
837     // LValue's and constants
838     APInt OrLK = Ten | 0xc;
839     EXPECT_EQ(OrLK, 0xe);
840 
841     APInt OrKL = 0xa | Twelve;
842     EXPECT_EQ(OrKL, 0xe);
843 
844     // RValue's and constants
845     APInt OrRK = getRValue("A", RawDataL) | 0xc;
846     EXPECT_EQ(OrRK, 0xe);
847     EXPECT_EQ(OrRK.getRawData(), RawDataL);
848 
849     APInt OrKR = 0xa | getRValue("C", RawDataR);
850     EXPECT_EQ(OrKR, 0xe);
851     EXPECT_EQ(OrKR.getRawData(), RawDataR);
852   }
853 
854   {
855     // 12 ^ 10 = 6
856     APInt XorLL = Ten ^ Twelve;
857     EXPECT_EQ(XorLL, 0x6);
858 
859     APInt XorLR = Ten ^ getRValue("C", RawDataR);
860     EXPECT_EQ(XorLR, 0x6);
861     EXPECT_EQ(XorLR.getRawData(), RawDataR);
862 
863     APInt XorRL = getRValue("A", RawDataL) ^ Twelve;
864     EXPECT_EQ(XorRL, 0x6);
865     EXPECT_EQ(XorRL.getRawData(), RawDataL);
866 
867     APInt XorRR = getRValue("A", RawDataL) ^ getRValue("C", RawDataR);
868     EXPECT_EQ(XorRR, 0x6);
869     EXPECT_EQ(XorRR.getRawData(), RawDataR);
870 
871     // LValue's and constants
872     APInt XorLK = Ten ^ 0xc;
873     EXPECT_EQ(XorLK, 0x6);
874 
875     APInt XorKL = 0xa ^ Twelve;
876     EXPECT_EQ(XorKL, 0x6);
877 
878     // RValue's and constants
879     APInt XorRK = getRValue("A", RawDataL) ^ 0xc;
880     EXPECT_EQ(XorRK, 0x6);
881     EXPECT_EQ(XorRK.getRawData(), RawDataL);
882 
883     APInt XorKR = 0xa ^ getRValue("C", RawDataR);
884     EXPECT_EQ(XorKR, 0x6);
885     EXPECT_EQ(XorKR.getRawData(), RawDataR);
886   }
887 }
888 
889 TEST(APIntTest, rvalue_invert) {
890   // Lamdba to return an APInt by value, but also provide the raw value of the
891   // allocated data.
892   auto getRValue = [](const char *HexString, uint64_t const *&RawData) {
893     APInt V(129, HexString, 16);
894     RawData = V.getRawData();
895     return V;
896   };
897 
898   APInt One(129, 1);
899   APInt NegativeTwo(129, -2ULL, true);
900 
901   const uint64_t *RawData = nullptr;
902 
903   {
904     // ~1 = -2
905     APInt NegL = ~One;
906     EXPECT_EQ(NegL, NegativeTwo);
907 
908     APInt NegR = ~getRValue("1", RawData);
909     EXPECT_EQ(NegR, NegativeTwo);
910     EXPECT_EQ(NegR.getRawData(), RawData);
911   }
912 }
913 
914 // Tests different div/rem varaints using scheme (a * b + c) / a
915 void testDiv(APInt a, APInt b, APInt c) {
916   ASSERT_TRUE(a.uge(b)); // Must: a >= b
917   ASSERT_TRUE(a.ugt(c)); // Must: a > c
918 
919   auto p = a * b + c;
920 
921   auto q = p.udiv(a);
922   auto r = p.urem(a);
923   EXPECT_EQ(b, q);
924   EXPECT_EQ(c, r);
925   APInt::udivrem(p, a, q, r);
926   EXPECT_EQ(b, q);
927   EXPECT_EQ(c, r);
928   q = p.sdiv(a);
929   r = p.srem(a);
930   EXPECT_EQ(b, q);
931   EXPECT_EQ(c, r);
932   APInt::sdivrem(p, a, q, r);
933   EXPECT_EQ(b, q);
934   EXPECT_EQ(c, r);
935 
936   if (b.ugt(c)) { // Test also symmetric case
937     q = p.udiv(b);
938     r = p.urem(b);
939     EXPECT_EQ(a, q);
940     EXPECT_EQ(c, r);
941     APInt::udivrem(p, b, q, r);
942     EXPECT_EQ(a, q);
943     EXPECT_EQ(c, r);
944     q = p.sdiv(b);
945     r = p.srem(b);
946     EXPECT_EQ(a, q);
947     EXPECT_EQ(c, r);
948     APInt::sdivrem(p, b, q, r);
949     EXPECT_EQ(a, q);
950     EXPECT_EQ(c, r);
951   }
952 }
953 
954 TEST(APIntTest, divrem_big1) {
955   // Tests KnuthDiv rare step D6
956   testDiv({256, "1ffffffffffffffff", 16},
957           {256, "1ffffffffffffffff", 16},
958           {256, 0});
959 }
960 
961 TEST(APIntTest, divrem_big2) {
962   // Tests KnuthDiv rare step D6
963   testDiv({1024,                       "112233ceff"
964                  "cecece000000ffffffffffffffffffff"
965                  "ffffffffffffffffffffffffffffffff"
966                  "ffffffffffffffffffffffffffffffff"
967                  "ffffffffffffffffffffffffffffff33", 16},
968           {1024,           "111111ffffffffffffffff"
969                  "ffffffffffffffffffffffffffffffff"
970                  "fffffffffffffffffffffffffffffccf"
971                  "ffffffffffffffffffffffffffffff00", 16},
972           {1024, 7919});
973 }
974 
975 TEST(APIntTest, divrem_big3) {
976   // Tests KnuthDiv case without shift
977   testDiv({256, "80000001ffffffffffffffff", 16},
978           {256, "ffffffffffffff0000000", 16},
979           {256, 4219});
980 }
981 
982 TEST(APIntTest, divrem_big4) {
983   // Tests heap allocation in divide() enfoced by huge numbers
984   testDiv(APInt{4096, 5}.shl(2001),
985           APInt{4096, 1}.shl(2000),
986           APInt{4096, 4219*13});
987 }
988 
989 TEST(APIntTest, divrem_big5) {
990   // Tests one word divisor case of divide()
991   testDiv(APInt{1024, 19}.shl(811),
992           APInt{1024, 4356013}, // one word
993           APInt{1024, 1});
994 }
995 
996 TEST(APIntTest, divrem_big6) {
997   // Tests some rare "borrow" cases in D4 step
998   testDiv(APInt{512, "ffffffffffffffff00000000000000000000000001", 16},
999           APInt{512, "10000000000000001000000000000001", 16},
1000           APInt{512, "10000000000000000000000000000000", 16});
1001 }
1002 
1003 TEST(APIntTest, divrem_big7) {
1004   // Yet another test for KnuthDiv rare step D6.
1005   testDiv({224, "800000008000000200000005", 16},
1006           {224, "fffffffd", 16},
1007           {224, "80000000800000010000000f", 16});
1008 }
1009 
1010 TEST(APIntTest, fromString) {
1011   EXPECT_EQ(APInt(32, 0), APInt(32,   "0", 2));
1012   EXPECT_EQ(APInt(32, 1), APInt(32,   "1", 2));
1013   EXPECT_EQ(APInt(32, 2), APInt(32,  "10", 2));
1014   EXPECT_EQ(APInt(32, 3), APInt(32,  "11", 2));
1015   EXPECT_EQ(APInt(32, 4), APInt(32, "100", 2));
1016 
1017   EXPECT_EQ(APInt(32, 0), APInt(32,   "+0", 2));
1018   EXPECT_EQ(APInt(32, 1), APInt(32,   "+1", 2));
1019   EXPECT_EQ(APInt(32, 2), APInt(32,  "+10", 2));
1020   EXPECT_EQ(APInt(32, 3), APInt(32,  "+11", 2));
1021   EXPECT_EQ(APInt(32, 4), APInt(32, "+100", 2));
1022 
1023   EXPECT_EQ(APInt(32, uint64_t(-0LL)), APInt(32,   "-0", 2));
1024   EXPECT_EQ(APInt(32, uint64_t(-1LL)), APInt(32,   "-1", 2));
1025   EXPECT_EQ(APInt(32, uint64_t(-2LL)), APInt(32,  "-10", 2));
1026   EXPECT_EQ(APInt(32, uint64_t(-3LL)), APInt(32,  "-11", 2));
1027   EXPECT_EQ(APInt(32, uint64_t(-4LL)), APInt(32, "-100", 2));
1028 
1029   EXPECT_EQ(APInt(32,  0), APInt(32,  "0",  8));
1030   EXPECT_EQ(APInt(32,  1), APInt(32,  "1",  8));
1031   EXPECT_EQ(APInt(32,  7), APInt(32,  "7",  8));
1032   EXPECT_EQ(APInt(32,  8), APInt(32,  "10", 8));
1033   EXPECT_EQ(APInt(32, 15), APInt(32,  "17", 8));
1034   EXPECT_EQ(APInt(32, 16), APInt(32,  "20", 8));
1035 
1036   EXPECT_EQ(APInt(32,  +0), APInt(32,  "+0",  8));
1037   EXPECT_EQ(APInt(32,  +1), APInt(32,  "+1",  8));
1038   EXPECT_EQ(APInt(32,  +7), APInt(32,  "+7",  8));
1039   EXPECT_EQ(APInt(32,  +8), APInt(32,  "+10", 8));
1040   EXPECT_EQ(APInt(32, +15), APInt(32,  "+17", 8));
1041   EXPECT_EQ(APInt(32, +16), APInt(32,  "+20", 8));
1042 
1043   EXPECT_EQ(APInt(32,  uint64_t(-0LL)), APInt(32,  "-0",  8));
1044   EXPECT_EQ(APInt(32,  uint64_t(-1LL)), APInt(32,  "-1",  8));
1045   EXPECT_EQ(APInt(32,  uint64_t(-7LL)), APInt(32,  "-7",  8));
1046   EXPECT_EQ(APInt(32,  uint64_t(-8LL)), APInt(32,  "-10", 8));
1047   EXPECT_EQ(APInt(32, uint64_t(-15LL)), APInt(32,  "-17", 8));
1048   EXPECT_EQ(APInt(32, uint64_t(-16LL)), APInt(32,  "-20", 8));
1049 
1050   EXPECT_EQ(APInt(32,  0), APInt(32,  "0", 10));
1051   EXPECT_EQ(APInt(32,  1), APInt(32,  "1", 10));
1052   EXPECT_EQ(APInt(32,  9), APInt(32,  "9", 10));
1053   EXPECT_EQ(APInt(32, 10), APInt(32, "10", 10));
1054   EXPECT_EQ(APInt(32, 19), APInt(32, "19", 10));
1055   EXPECT_EQ(APInt(32, 20), APInt(32, "20", 10));
1056 
1057   EXPECT_EQ(APInt(32,  uint64_t(-0LL)), APInt(32,  "-0", 10));
1058   EXPECT_EQ(APInt(32,  uint64_t(-1LL)), APInt(32,  "-1", 10));
1059   EXPECT_EQ(APInt(32,  uint64_t(-9LL)), APInt(32,  "-9", 10));
1060   EXPECT_EQ(APInt(32, uint64_t(-10LL)), APInt(32, "-10", 10));
1061   EXPECT_EQ(APInt(32, uint64_t(-19LL)), APInt(32, "-19", 10));
1062   EXPECT_EQ(APInt(32, uint64_t(-20LL)), APInt(32, "-20", 10));
1063 
1064   EXPECT_EQ(APInt(32,  0), APInt(32,  "0", 16));
1065   EXPECT_EQ(APInt(32,  1), APInt(32,  "1", 16));
1066   EXPECT_EQ(APInt(32, 15), APInt(32,  "F", 16));
1067   EXPECT_EQ(APInt(32, 16), APInt(32, "10", 16));
1068   EXPECT_EQ(APInt(32, 31), APInt(32, "1F", 16));
1069   EXPECT_EQ(APInt(32, 32), APInt(32, "20", 16));
1070 
1071   EXPECT_EQ(APInt(32,  uint64_t(-0LL)), APInt(32,  "-0", 16));
1072   EXPECT_EQ(APInt(32,  uint64_t(-1LL)), APInt(32,  "-1", 16));
1073   EXPECT_EQ(APInt(32, uint64_t(-15LL)), APInt(32,  "-F", 16));
1074   EXPECT_EQ(APInt(32, uint64_t(-16LL)), APInt(32, "-10", 16));
1075   EXPECT_EQ(APInt(32, uint64_t(-31LL)), APInt(32, "-1F", 16));
1076   EXPECT_EQ(APInt(32, uint64_t(-32LL)), APInt(32, "-20", 16));
1077 
1078   EXPECT_EQ(APInt(32,  0), APInt(32,  "0", 36));
1079   EXPECT_EQ(APInt(32,  1), APInt(32,  "1", 36));
1080   EXPECT_EQ(APInt(32, 35), APInt(32,  "Z", 36));
1081   EXPECT_EQ(APInt(32, 36), APInt(32, "10", 36));
1082   EXPECT_EQ(APInt(32, 71), APInt(32, "1Z", 36));
1083   EXPECT_EQ(APInt(32, 72), APInt(32, "20", 36));
1084 
1085   EXPECT_EQ(APInt(32,  uint64_t(-0LL)), APInt(32,  "-0", 36));
1086   EXPECT_EQ(APInt(32,  uint64_t(-1LL)), APInt(32,  "-1", 36));
1087   EXPECT_EQ(APInt(32, uint64_t(-35LL)), APInt(32,  "-Z", 36));
1088   EXPECT_EQ(APInt(32, uint64_t(-36LL)), APInt(32, "-10", 36));
1089   EXPECT_EQ(APInt(32, uint64_t(-71LL)), APInt(32, "-1Z", 36));
1090   EXPECT_EQ(APInt(32, uint64_t(-72LL)), APInt(32, "-20", 36));
1091 }
1092 
1093 TEST(APIntTest, FromArray) {
1094   EXPECT_EQ(APInt(32, uint64_t(1)), APInt(32, ArrayRef<uint64_t>(1)));
1095 }
1096 
1097 TEST(APIntTest, StringBitsNeeded2) {
1098   EXPECT_EQ(1U, APInt::getBitsNeeded(  "0", 2));
1099   EXPECT_EQ(1U, APInt::getBitsNeeded(  "1", 2));
1100   EXPECT_EQ(2U, APInt::getBitsNeeded( "10", 2));
1101   EXPECT_EQ(2U, APInt::getBitsNeeded( "11", 2));
1102   EXPECT_EQ(3U, APInt::getBitsNeeded("100", 2));
1103 
1104   EXPECT_EQ(1U, APInt::getBitsNeeded(  "+0", 2));
1105   EXPECT_EQ(1U, APInt::getBitsNeeded(  "+1", 2));
1106   EXPECT_EQ(2U, APInt::getBitsNeeded( "+10", 2));
1107   EXPECT_EQ(2U, APInt::getBitsNeeded( "+11", 2));
1108   EXPECT_EQ(3U, APInt::getBitsNeeded("+100", 2));
1109 
1110   EXPECT_EQ(2U, APInt::getBitsNeeded(  "-0", 2));
1111   EXPECT_EQ(2U, APInt::getBitsNeeded(  "-1", 2));
1112   EXPECT_EQ(3U, APInt::getBitsNeeded( "-10", 2));
1113   EXPECT_EQ(3U, APInt::getBitsNeeded( "-11", 2));
1114   EXPECT_EQ(4U, APInt::getBitsNeeded("-100", 2));
1115 }
1116 
1117 TEST(APIntTest, StringBitsNeeded8) {
1118   EXPECT_EQ(3U, APInt::getBitsNeeded( "0", 8));
1119   EXPECT_EQ(3U, APInt::getBitsNeeded( "7", 8));
1120   EXPECT_EQ(6U, APInt::getBitsNeeded("10", 8));
1121   EXPECT_EQ(6U, APInt::getBitsNeeded("17", 8));
1122   EXPECT_EQ(6U, APInt::getBitsNeeded("20", 8));
1123 
1124   EXPECT_EQ(3U, APInt::getBitsNeeded( "+0", 8));
1125   EXPECT_EQ(3U, APInt::getBitsNeeded( "+7", 8));
1126   EXPECT_EQ(6U, APInt::getBitsNeeded("+10", 8));
1127   EXPECT_EQ(6U, APInt::getBitsNeeded("+17", 8));
1128   EXPECT_EQ(6U, APInt::getBitsNeeded("+20", 8));
1129 
1130   EXPECT_EQ(4U, APInt::getBitsNeeded( "-0", 8));
1131   EXPECT_EQ(4U, APInt::getBitsNeeded( "-7", 8));
1132   EXPECT_EQ(7U, APInt::getBitsNeeded("-10", 8));
1133   EXPECT_EQ(7U, APInt::getBitsNeeded("-17", 8));
1134   EXPECT_EQ(7U, APInt::getBitsNeeded("-20", 8));
1135 }
1136 
1137 TEST(APIntTest, StringBitsNeeded10) {
1138   EXPECT_EQ(1U, APInt::getBitsNeeded( "0", 10));
1139   EXPECT_EQ(2U, APInt::getBitsNeeded( "3", 10));
1140   EXPECT_EQ(4U, APInt::getBitsNeeded( "9", 10));
1141   EXPECT_EQ(4U, APInt::getBitsNeeded("10", 10));
1142   EXPECT_EQ(5U, APInt::getBitsNeeded("19", 10));
1143   EXPECT_EQ(5U, APInt::getBitsNeeded("20", 10));
1144 
1145   EXPECT_EQ(1U, APInt::getBitsNeeded( "+0", 10));
1146   EXPECT_EQ(4U, APInt::getBitsNeeded( "+9", 10));
1147   EXPECT_EQ(4U, APInt::getBitsNeeded("+10", 10));
1148   EXPECT_EQ(5U, APInt::getBitsNeeded("+19", 10));
1149   EXPECT_EQ(5U, APInt::getBitsNeeded("+20", 10));
1150 
1151   EXPECT_EQ(2U, APInt::getBitsNeeded( "-0", 10));
1152   EXPECT_EQ(5U, APInt::getBitsNeeded( "-9", 10));
1153   EXPECT_EQ(5U, APInt::getBitsNeeded("-10", 10));
1154   EXPECT_EQ(6U, APInt::getBitsNeeded("-19", 10));
1155   EXPECT_EQ(6U, APInt::getBitsNeeded("-20", 10));
1156 }
1157 
1158 TEST(APIntTest, StringBitsNeeded16) {
1159   EXPECT_EQ(4U, APInt::getBitsNeeded( "0", 16));
1160   EXPECT_EQ(4U, APInt::getBitsNeeded( "F", 16));
1161   EXPECT_EQ(8U, APInt::getBitsNeeded("10", 16));
1162   EXPECT_EQ(8U, APInt::getBitsNeeded("1F", 16));
1163   EXPECT_EQ(8U, APInt::getBitsNeeded("20", 16));
1164 
1165   EXPECT_EQ(4U, APInt::getBitsNeeded( "+0", 16));
1166   EXPECT_EQ(4U, APInt::getBitsNeeded( "+F", 16));
1167   EXPECT_EQ(8U, APInt::getBitsNeeded("+10", 16));
1168   EXPECT_EQ(8U, APInt::getBitsNeeded("+1F", 16));
1169   EXPECT_EQ(8U, APInt::getBitsNeeded("+20", 16));
1170 
1171   EXPECT_EQ(5U, APInt::getBitsNeeded( "-0", 16));
1172   EXPECT_EQ(5U, APInt::getBitsNeeded( "-F", 16));
1173   EXPECT_EQ(9U, APInt::getBitsNeeded("-10", 16));
1174   EXPECT_EQ(9U, APInt::getBitsNeeded("-1F", 16));
1175   EXPECT_EQ(9U, APInt::getBitsNeeded("-20", 16));
1176 }
1177 
1178 TEST(APIntTest, toString) {
1179   SmallString<16> S;
1180   bool isSigned;
1181 
1182   APInt(8, 0).toString(S, 2, true, true);
1183   EXPECT_EQ(S.str().str(), "0b0");
1184   S.clear();
1185   APInt(8, 0).toString(S, 8, true, true);
1186   EXPECT_EQ(S.str().str(), "00");
1187   S.clear();
1188   APInt(8, 0).toString(S, 10, true, true);
1189   EXPECT_EQ(S.str().str(), "0");
1190   S.clear();
1191   APInt(8, 0).toString(S, 16, true, true);
1192   EXPECT_EQ(S.str().str(), "0x0");
1193   S.clear();
1194   APInt(8, 0).toString(S, 36, true, false);
1195   EXPECT_EQ(S.str().str(), "0");
1196   S.clear();
1197 
1198   isSigned = false;
1199   APInt(8, 255, isSigned).toString(S, 2, isSigned, true);
1200   EXPECT_EQ(S.str().str(), "0b11111111");
1201   S.clear();
1202   APInt(8, 255, isSigned).toString(S, 8, isSigned, true);
1203   EXPECT_EQ(S.str().str(), "0377");
1204   S.clear();
1205   APInt(8, 255, isSigned).toString(S, 10, isSigned, true);
1206   EXPECT_EQ(S.str().str(), "255");
1207   S.clear();
1208   APInt(8, 255, isSigned).toString(S, 16, isSigned, true);
1209   EXPECT_EQ(S.str().str(), "0xFF");
1210   S.clear();
1211   APInt(8, 255, isSigned).toString(S, 36, isSigned, false);
1212   EXPECT_EQ(S.str().str(), "73");
1213   S.clear();
1214 
1215   isSigned = true;
1216   APInt(8, 255, isSigned).toString(S, 2, isSigned, true);
1217   EXPECT_EQ(S.str().str(), "-0b1");
1218   S.clear();
1219   APInt(8, 255, isSigned).toString(S, 8, isSigned, true);
1220   EXPECT_EQ(S.str().str(), "-01");
1221   S.clear();
1222   APInt(8, 255, isSigned).toString(S, 10, isSigned, true);
1223   EXPECT_EQ(S.str().str(), "-1");
1224   S.clear();
1225   APInt(8, 255, isSigned).toString(S, 16, isSigned, true);
1226   EXPECT_EQ(S.str().str(), "-0x1");
1227   S.clear();
1228   APInt(8, 255, isSigned).toString(S, 36, isSigned, false);
1229   EXPECT_EQ(S.str().str(), "-1");
1230   S.clear();
1231 }
1232 
1233 TEST(APIntTest, Log2) {
1234   EXPECT_EQ(APInt(15, 7).logBase2(), 2U);
1235   EXPECT_EQ(APInt(15, 7).ceilLogBase2(), 3U);
1236   EXPECT_EQ(APInt(15, 7).exactLogBase2(), -1);
1237   EXPECT_EQ(APInt(15, 8).logBase2(), 3U);
1238   EXPECT_EQ(APInt(15, 8).ceilLogBase2(), 3U);
1239   EXPECT_EQ(APInt(15, 8).exactLogBase2(), 3);
1240   EXPECT_EQ(APInt(15, 9).logBase2(), 3U);
1241   EXPECT_EQ(APInt(15, 9).ceilLogBase2(), 4U);
1242   EXPECT_EQ(APInt(15, 9).exactLogBase2(), -1);
1243 }
1244 
1245 TEST(APIntTest, magic) {
1246   EXPECT_EQ(APInt(32, 3).magic().m, APInt(32, "55555556", 16));
1247   EXPECT_EQ(APInt(32, 3).magic().s, 0U);
1248   EXPECT_EQ(APInt(32, 5).magic().m, APInt(32, "66666667", 16));
1249   EXPECT_EQ(APInt(32, 5).magic().s, 1U);
1250   EXPECT_EQ(APInt(32, 7).magic().m, APInt(32, "92492493", 16));
1251   EXPECT_EQ(APInt(32, 7).magic().s, 2U);
1252 }
1253 
1254 TEST(APIntTest, magicu) {
1255   EXPECT_EQ(APInt(32, 3).magicu().m, APInt(32, "AAAAAAAB", 16));
1256   EXPECT_EQ(APInt(32, 3).magicu().s, 1U);
1257   EXPECT_EQ(APInt(32, 5).magicu().m, APInt(32, "CCCCCCCD", 16));
1258   EXPECT_EQ(APInt(32, 5).magicu().s, 2U);
1259   EXPECT_EQ(APInt(32, 7).magicu().m, APInt(32, "24924925", 16));
1260   EXPECT_EQ(APInt(32, 7).magicu().s, 3U);
1261   EXPECT_EQ(APInt(64, 25).magicu(1).m, APInt(64, "A3D70A3D70A3D70B", 16));
1262   EXPECT_EQ(APInt(64, 25).magicu(1).s, 4U);
1263 }
1264 
1265 #ifdef GTEST_HAS_DEATH_TEST
1266 #ifndef NDEBUG
1267 TEST(APIntTest, StringDeath) {
1268   EXPECT_DEATH(APInt(0, "", 0), "Bitwidth too small");
1269   EXPECT_DEATH(APInt(32, "", 0), "Invalid string length");
1270   EXPECT_DEATH(APInt(32, "0", 0), "Radix should be 2, 8, 10, 16, or 36!");
1271   EXPECT_DEATH(APInt(32, "", 10), "Invalid string length");
1272   EXPECT_DEATH(APInt(32, "-", 10), "String is only a sign, needs a value.");
1273   EXPECT_DEATH(APInt(1, "1234", 10), "Insufficient bit width");
1274   EXPECT_DEATH(APInt(32, "\0", 10), "Invalid string length");
1275   EXPECT_DEATH(APInt(32, StringRef("1\02", 3), 10), "Invalid character in digit string");
1276   EXPECT_DEATH(APInt(32, "1L", 10), "Invalid character in digit string");
1277 }
1278 #endif
1279 #endif
1280 
1281 TEST(APIntTest, mul_clear) {
1282   APInt ValA(65, -1ULL);
1283   APInt ValB(65, 4);
1284   APInt ValC(65, 0);
1285   ValC = ValA * ValB;
1286   ValA *= ValB;
1287   EXPECT_EQ(ValA.toString(10, false), ValC.toString(10, false));
1288 }
1289 
1290 TEST(APIntTest, Rotate) {
1291   EXPECT_EQ(APInt(8, 1),  APInt(8, 1).rotl(0));
1292   EXPECT_EQ(APInt(8, 2),  APInt(8, 1).rotl(1));
1293   EXPECT_EQ(APInt(8, 4),  APInt(8, 1).rotl(2));
1294   EXPECT_EQ(APInt(8, 16), APInt(8, 1).rotl(4));
1295   EXPECT_EQ(APInt(8, 1),  APInt(8, 1).rotl(8));
1296 
1297   EXPECT_EQ(APInt(8, 16), APInt(8, 16).rotl(0));
1298   EXPECT_EQ(APInt(8, 32), APInt(8, 16).rotl(1));
1299   EXPECT_EQ(APInt(8, 64), APInt(8, 16).rotl(2));
1300   EXPECT_EQ(APInt(8, 1),  APInt(8, 16).rotl(4));
1301   EXPECT_EQ(APInt(8, 16), APInt(8, 16).rotl(8));
1302 
1303   EXPECT_EQ(APInt(32, 2), APInt(32, 1).rotl(33));
1304   EXPECT_EQ(APInt(32, 2), APInt(32, 1).rotl(APInt(32, 33)));
1305 
1306   EXPECT_EQ(APInt(32, 2), APInt(32, 1).rotl(33));
1307   EXPECT_EQ(APInt(32, 2), APInt(32, 1).rotl(APInt(32, 33)));
1308   EXPECT_EQ(APInt(32, 2), APInt(32, 1).rotl(APInt(33, 33)));
1309   EXPECT_EQ(APInt(32, (1 << 8)), APInt(32, 1).rotl(APInt(32, 40)));
1310   EXPECT_EQ(APInt(32, (1 << 30)), APInt(32, 1).rotl(APInt(31, 30)));
1311   EXPECT_EQ(APInt(32, (1 << 31)), APInt(32, 1).rotl(APInt(31, 31)));
1312 
1313   EXPECT_EQ(APInt(32, 1), APInt(32, 1).rotl(APInt(1, 0)));
1314   EXPECT_EQ(APInt(32, 2), APInt(32, 1).rotl(APInt(1, 1)));
1315 
1316   EXPECT_EQ(APInt(32, 16), APInt(32, 1).rotl(APInt(3, 4)));
1317 
1318   EXPECT_EQ(APInt(32, 1), APInt(32, 1).rotl(APInt(64, 64)));
1319   EXPECT_EQ(APInt(32, 2), APInt(32, 1).rotl(APInt(64, 65)));
1320 
1321   EXPECT_EQ(APInt(7, 24), APInt(7, 3).rotl(APInt(7, 3)));
1322   EXPECT_EQ(APInt(7, 24), APInt(7, 3).rotl(APInt(7, 10)));
1323   EXPECT_EQ(APInt(7, 24), APInt(7, 3).rotl(APInt(5, 10)));
1324   EXPECT_EQ(APInt(7, 6), APInt(7, 3).rotl(APInt(12, 120)));
1325 
1326   EXPECT_EQ(APInt(8, 16), APInt(8, 16).rotr(0));
1327   EXPECT_EQ(APInt(8, 8),  APInt(8, 16).rotr(1));
1328   EXPECT_EQ(APInt(8, 4),  APInt(8, 16).rotr(2));
1329   EXPECT_EQ(APInt(8, 1),  APInt(8, 16).rotr(4));
1330   EXPECT_EQ(APInt(8, 16), APInt(8, 16).rotr(8));
1331 
1332   EXPECT_EQ(APInt(8, 1),   APInt(8, 1).rotr(0));
1333   EXPECT_EQ(APInt(8, 128), APInt(8, 1).rotr(1));
1334   EXPECT_EQ(APInt(8, 64),  APInt(8, 1).rotr(2));
1335   EXPECT_EQ(APInt(8, 16),  APInt(8, 1).rotr(4));
1336   EXPECT_EQ(APInt(8, 1),   APInt(8, 1).rotr(8));
1337 
1338   EXPECT_EQ(APInt(32, (1 << 31)), APInt(32, 1).rotr(33));
1339   EXPECT_EQ(APInt(32, (1 << 31)), APInt(32, 1).rotr(APInt(32, 33)));
1340 
1341   EXPECT_EQ(APInt(32, (1 << 31)), APInt(32, 1).rotr(33));
1342   EXPECT_EQ(APInt(32, (1 << 31)), APInt(32, 1).rotr(APInt(32, 33)));
1343   EXPECT_EQ(APInt(32, (1 << 31)), APInt(32, 1).rotr(APInt(33, 33)));
1344   EXPECT_EQ(APInt(32, (1 << 24)), APInt(32, 1).rotr(APInt(32, 40)));
1345 
1346   EXPECT_EQ(APInt(32, (1 << 2)), APInt(32, 1).rotr(APInt(31, 30)));
1347   EXPECT_EQ(APInt(32, (1 << 1)), APInt(32, 1).rotr(APInt(31, 31)));
1348 
1349   EXPECT_EQ(APInt(32, 1), APInt(32, 1).rotr(APInt(1, 0)));
1350   EXPECT_EQ(APInt(32, (1 << 31)), APInt(32, 1).rotr(APInt(1, 1)));
1351 
1352   EXPECT_EQ(APInt(32, (1 << 28)), APInt(32, 1).rotr(APInt(3, 4)));
1353 
1354   EXPECT_EQ(APInt(32, 1), APInt(32, 1).rotr(APInt(64, 64)));
1355   EXPECT_EQ(APInt(32, (1 << 31)), APInt(32, 1).rotr(APInt(64, 65)));
1356 
1357   EXPECT_EQ(APInt(7, 48), APInt(7, 3).rotr(APInt(7, 3)));
1358   EXPECT_EQ(APInt(7, 48), APInt(7, 3).rotr(APInt(7, 10)));
1359   EXPECT_EQ(APInt(7, 48), APInt(7, 3).rotr(APInt(5, 10)));
1360   EXPECT_EQ(APInt(7, 65), APInt(7, 3).rotr(APInt(12, 120)));
1361 
1362   APInt Big(256, "00004000800000000000000000003fff8000000000000003", 16);
1363   APInt Rot(256, "3fff80000000000000030000000000000000000040008000", 16);
1364   EXPECT_EQ(Rot, Big.rotr(144));
1365 
1366   EXPECT_EQ(APInt(32, 8), APInt(32, 1).rotl(Big));
1367   EXPECT_EQ(APInt(32, (1 << 29)), APInt(32, 1).rotr(Big));
1368 }
1369 
1370 TEST(APIntTest, Splat) {
1371   APInt ValA(8, 0x01);
1372   EXPECT_EQ(ValA, APInt::getSplat(8, ValA));
1373   EXPECT_EQ(APInt(64, 0x0101010101010101ULL), APInt::getSplat(64, ValA));
1374 
1375   APInt ValB(3, 5);
1376   EXPECT_EQ(APInt(4, 0xD), APInt::getSplat(4, ValB));
1377   EXPECT_EQ(APInt(15, 0xDB6D), APInt::getSplat(15, ValB));
1378 }
1379 
1380 TEST(APIntTest, tcDecrement) {
1381   // Test single word decrement.
1382 
1383   // No out borrow.
1384   {
1385     APInt::WordType singleWord = ~APInt::WordType(0) << (APInt::APINT_BITS_PER_WORD - 1);
1386     APInt::WordType carry = APInt::tcDecrement(&singleWord, 1);
1387     EXPECT_EQ(carry, APInt::WordType(0));
1388     EXPECT_EQ(singleWord, ~APInt::WordType(0) >> 1);
1389   }
1390 
1391   // With out borrow.
1392   {
1393     APInt::WordType singleWord = 0;
1394     APInt::WordType carry = APInt::tcDecrement(&singleWord, 1);
1395     EXPECT_EQ(carry, APInt::WordType(1));
1396     EXPECT_EQ(singleWord, ~APInt::WordType(0));
1397   }
1398 
1399   // Test multiword decrement.
1400 
1401   // No across word borrow, no out borrow.
1402   {
1403     APInt::WordType test[4] = {0x1, 0x1, 0x1, 0x1};
1404     APInt::WordType expected[4] = {0x0, 0x1, 0x1, 0x1};
1405     APInt::tcDecrement(test, 4);
1406     EXPECT_EQ(APInt::tcCompare(test, expected, 4), 0);
1407   }
1408 
1409   // 1 across word borrow, no out borrow.
1410   {
1411     APInt::WordType test[4] = {0x0, 0xF, 0x1, 0x1};
1412     APInt::WordType expected[4] = {~APInt::WordType(0), 0xE, 0x1, 0x1};
1413     APInt::WordType carry = APInt::tcDecrement(test, 4);
1414     EXPECT_EQ(carry, APInt::WordType(0));
1415     EXPECT_EQ(APInt::tcCompare(test, expected, 4), 0);
1416   }
1417 
1418   // 2 across word borrow, no out borrow.
1419   {
1420     APInt::WordType test[4] = {0x0, 0x0, 0xC, 0x1};
1421     APInt::WordType expected[4] = {~APInt::WordType(0), ~APInt::WordType(0), 0xB, 0x1};
1422     APInt::WordType carry = APInt::tcDecrement(test, 4);
1423     EXPECT_EQ(carry, APInt::WordType(0));
1424     EXPECT_EQ(APInt::tcCompare(test, expected, 4), 0);
1425   }
1426 
1427   // 3 across word borrow, no out borrow.
1428   {
1429     APInt::WordType test[4] = {0x0, 0x0, 0x0, 0x1};
1430     APInt::WordType expected[4] = {~APInt::WordType(0), ~APInt::WordType(0), ~APInt::WordType(0), 0x0};
1431     APInt::WordType carry = APInt::tcDecrement(test, 4);
1432     EXPECT_EQ(carry, APInt::WordType(0));
1433     EXPECT_EQ(APInt::tcCompare(test, expected, 4), 0);
1434   }
1435 
1436   // 3 across word borrow, with out borrow.
1437   {
1438     APInt::WordType test[4] = {0x0, 0x0, 0x0, 0x0};
1439     APInt::WordType expected[4] = {~APInt::WordType(0), ~APInt::WordType(0), ~APInt::WordType(0), ~APInt::WordType(0)};
1440     APInt::WordType carry = APInt::tcDecrement(test, 4);
1441     EXPECT_EQ(carry, APInt::WordType(1));
1442     EXPECT_EQ(APInt::tcCompare(test, expected, 4), 0);
1443   }
1444 }
1445 
1446 TEST(APIntTest, arrayAccess) {
1447   // Single word check.
1448   uint64_t E1 = 0x2CA7F46BF6569915ULL;
1449   APInt A1(64, E1);
1450   for (unsigned i = 0, e = 64; i < e; ++i) {
1451     EXPECT_EQ(bool(E1 & (1ULL << i)),
1452               A1[i]);
1453   }
1454 
1455   // Multiword check.
1456   APInt::WordType E2[4] = {
1457     0xEB6EB136591CBA21ULL,
1458     0x7B9358BD6A33F10AULL,
1459     0x7E7FFA5EADD8846ULL,
1460     0x305F341CA00B613DULL
1461   };
1462   APInt A2(APInt::APINT_BITS_PER_WORD*4, E2);
1463   for (unsigned i = 0; i < 4; ++i) {
1464     for (unsigned j = 0; j < APInt::APINT_BITS_PER_WORD; ++j) {
1465       EXPECT_EQ(bool(E2[i] & (1ULL << j)),
1466                 A2[i*APInt::APINT_BITS_PER_WORD + j]);
1467     }
1468   }
1469 }
1470 
1471 TEST(APIntTest, LargeAPIntConstruction) {
1472   // Check that we can properly construct very large APInt. It is very
1473   // unlikely that people will ever do this, but it is a legal input,
1474   // so we should not crash on it.
1475   APInt A9(UINT32_MAX, 0);
1476   EXPECT_FALSE(A9.getBoolValue());
1477 }
1478 
1479 TEST(APIntTest, nearestLogBase2) {
1480   // Single word check.
1481 
1482   // Test round up.
1483   uint64_t I1 = 0x1800001;
1484   APInt A1(64, I1);
1485   EXPECT_EQ(A1.nearestLogBase2(), A1.ceilLogBase2());
1486 
1487   // Test round down.
1488   uint64_t I2 = 0x1000011;
1489   APInt A2(64, I2);
1490   EXPECT_EQ(A2.nearestLogBase2(), A2.logBase2());
1491 
1492   // Test ties round up.
1493   uint64_t I3 = 0x1800000;
1494   APInt A3(64, I3);
1495   EXPECT_EQ(A3.nearestLogBase2(), A3.ceilLogBase2());
1496 
1497   // Multiple word check.
1498 
1499   // Test round up.
1500   APInt::WordType I4[4] = {0x0, 0xF, 0x18, 0x0};
1501   APInt A4(APInt::APINT_BITS_PER_WORD*4, I4);
1502   EXPECT_EQ(A4.nearestLogBase2(), A4.ceilLogBase2());
1503 
1504   // Test round down.
1505   APInt::WordType I5[4] = {0x0, 0xF, 0x10, 0x0};
1506   APInt A5(APInt::APINT_BITS_PER_WORD*4, I5);
1507   EXPECT_EQ(A5.nearestLogBase2(), A5.logBase2());
1508 
1509   // Test ties round up.
1510   uint64_t I6[4] = {0x0, 0x0, 0x0, 0x18};
1511   APInt A6(APInt::APINT_BITS_PER_WORD*4, I6);
1512   EXPECT_EQ(A6.nearestLogBase2(), A6.ceilLogBase2());
1513 
1514   // Test BitWidth == 1 special cases.
1515   APInt A7(1, 1);
1516   EXPECT_EQ(A7.nearestLogBase2(), 0ULL);
1517   APInt A8(1, 0);
1518   EXPECT_EQ(A8.nearestLogBase2(), UINT32_MAX);
1519 
1520   // Test the zero case when we have a bit width large enough such
1521   // that the bit width is larger than UINT32_MAX-1.
1522   APInt A9(UINT32_MAX, 0);
1523   EXPECT_EQ(A9.nearestLogBase2(), UINT32_MAX);
1524 }
1525 
1526 TEST(APIntTest, IsSplat) {
1527   APInt A(32, 0x01010101);
1528   EXPECT_FALSE(A.isSplat(1));
1529   EXPECT_FALSE(A.isSplat(2));
1530   EXPECT_FALSE(A.isSplat(4));
1531   EXPECT_TRUE(A.isSplat(8));
1532   EXPECT_TRUE(A.isSplat(16));
1533   EXPECT_TRUE(A.isSplat(32));
1534 
1535   APInt B(24, 0xAAAAAA);
1536   EXPECT_FALSE(B.isSplat(1));
1537   EXPECT_TRUE(B.isSplat(2));
1538   EXPECT_TRUE(B.isSplat(4));
1539   EXPECT_TRUE(B.isSplat(8));
1540   EXPECT_TRUE(B.isSplat(24));
1541 
1542   APInt C(24, 0xABAAAB);
1543   EXPECT_FALSE(C.isSplat(1));
1544   EXPECT_FALSE(C.isSplat(2));
1545   EXPECT_FALSE(C.isSplat(4));
1546   EXPECT_FALSE(C.isSplat(8));
1547   EXPECT_TRUE(C.isSplat(24));
1548 
1549   APInt D(32, 0xABBAABBA);
1550   EXPECT_FALSE(D.isSplat(1));
1551   EXPECT_FALSE(D.isSplat(2));
1552   EXPECT_FALSE(D.isSplat(4));
1553   EXPECT_FALSE(D.isSplat(8));
1554   EXPECT_TRUE(D.isSplat(16));
1555   EXPECT_TRUE(D.isSplat(32));
1556 
1557   APInt E(32, 0);
1558   EXPECT_TRUE(E.isSplat(1));
1559   EXPECT_TRUE(E.isSplat(2));
1560   EXPECT_TRUE(E.isSplat(4));
1561   EXPECT_TRUE(E.isSplat(8));
1562   EXPECT_TRUE(E.isSplat(16));
1563   EXPECT_TRUE(E.isSplat(32));
1564 }
1565 
1566 TEST(APIntTest, isMask) {
1567   EXPECT_FALSE(APInt(32, 0x01010101).isMask());
1568   EXPECT_FALSE(APInt(32, 0xf0000000).isMask());
1569   EXPECT_FALSE(APInt(32, 0xffff0000).isMask());
1570   EXPECT_FALSE(APInt(32, 0xff << 1).isMask());
1571 
1572   for (int N : { 1, 2, 3, 4, 7, 8, 16, 32, 64, 127, 128, 129, 256 }) {
1573     EXPECT_FALSE(APInt(N, 0).isMask());
1574 
1575     APInt One(N, 1);
1576     for (int I = 1; I <= N; ++I) {
1577       APInt MaskVal = One.shl(I) - 1;
1578       EXPECT_TRUE(MaskVal.isMask());
1579       EXPECT_TRUE(MaskVal.isMask(I));
1580     }
1581   }
1582 }
1583 
1584 TEST(APIntTest, isShiftedMask) {
1585   EXPECT_FALSE(APInt(32, 0x01010101).isShiftedMask());
1586   EXPECT_TRUE(APInt(32, 0xf0000000).isShiftedMask());
1587   EXPECT_TRUE(APInt(32, 0xffff0000).isShiftedMask());
1588   EXPECT_TRUE(APInt(32, 0xff << 1).isShiftedMask());
1589 
1590   for (int N : { 1, 2, 3, 4, 7, 8, 16, 32, 64, 127, 128, 129, 256 }) {
1591     EXPECT_FALSE(APInt(N, 0).isShiftedMask());
1592 
1593     APInt One(N, 1);
1594     for (int I = 1; I < N; ++I) {
1595       APInt MaskVal = One.shl(I) - 1;
1596       EXPECT_TRUE(MaskVal.isShiftedMask());
1597     }
1598     for (int I = 1; I < N - 1; ++I) {
1599       APInt MaskVal = One.shl(I);
1600       EXPECT_TRUE(MaskVal.isShiftedMask());
1601     }
1602     for (int I = 1; I < N; ++I) {
1603       APInt MaskVal = APInt::getHighBitsSet(N, I);
1604       EXPECT_TRUE(MaskVal.isShiftedMask());
1605     }
1606   }
1607 }
1608 
1609 #if defined(__clang__)
1610 // Disable the pragma warning from versions of Clang without -Wself-move
1611 #pragma clang diagnostic push
1612 #pragma clang diagnostic ignored "-Wunknown-pragmas"
1613 // Disable the warning that triggers on exactly what is being tested.
1614 #pragma clang diagnostic push
1615 #pragma clang diagnostic ignored "-Wself-move"
1616 #endif
1617 TEST(APIntTest, SelfMoveAssignment) {
1618   APInt X(32, 0xdeadbeef);
1619   X = std::move(X);
1620   EXPECT_EQ(32u, X.getBitWidth());
1621   EXPECT_EQ(0xdeadbeefULL, X.getLimitedValue());
1622 
1623   uint64_t Bits[] = {0xdeadbeefdeadbeefULL, 0xdeadbeefdeadbeefULL};
1624   APInt Y(128, Bits);
1625   Y = std::move(Y);
1626   EXPECT_EQ(128u, Y.getBitWidth());
1627   EXPECT_EQ(~0ULL, Y.getLimitedValue());
1628   const uint64_t *Raw = Y.getRawData();
1629   EXPECT_EQ(2u, Y.getNumWords());
1630   EXPECT_EQ(0xdeadbeefdeadbeefULL, Raw[0]);
1631   EXPECT_EQ(0xdeadbeefdeadbeefULL, Raw[1]);
1632 }
1633 #if defined(__clang__)
1634 #pragma clang diagnostic pop
1635 #pragma clang diagnostic pop
1636 #endif
1637 }
1638 
1639 TEST(APIntTest, reverseBits) {
1640   EXPECT_EQ(1, APInt(1, 1).reverseBits());
1641   EXPECT_EQ(0, APInt(1, 0).reverseBits());
1642 
1643   EXPECT_EQ(3, APInt(2, 3).reverseBits());
1644   EXPECT_EQ(3, APInt(2, 3).reverseBits());
1645 
1646   EXPECT_EQ(0xb, APInt(4, 0xd).reverseBits());
1647   EXPECT_EQ(0xd, APInt(4, 0xb).reverseBits());
1648   EXPECT_EQ(0xf, APInt(4, 0xf).reverseBits());
1649 
1650   EXPECT_EQ(0x30, APInt(7, 0x6).reverseBits());
1651   EXPECT_EQ(0x5a, APInt(7, 0x2d).reverseBits());
1652 
1653   EXPECT_EQ(0x0f, APInt(8, 0xf0).reverseBits());
1654   EXPECT_EQ(0xf0, APInt(8, 0x0f).reverseBits());
1655 
1656   EXPECT_EQ(0x0f0f, APInt(16, 0xf0f0).reverseBits());
1657   EXPECT_EQ(0xf0f0, APInt(16, 0x0f0f).reverseBits());
1658 
1659   EXPECT_EQ(0x0f0f0f0f, APInt(32, 0xf0f0f0f0).reverseBits());
1660   EXPECT_EQ(0xf0f0f0f0, APInt(32, 0x0f0f0f0f).reverseBits());
1661 
1662   EXPECT_EQ(0x402880a0 >> 1, APInt(31, 0x05011402).reverseBits());
1663 
1664   EXPECT_EQ(0x0f0f0f0f, APInt(32, 0xf0f0f0f0).reverseBits());
1665   EXPECT_EQ(0xf0f0f0f0, APInt(32, 0x0f0f0f0f).reverseBits());
1666 
1667   EXPECT_EQ(0x0f0f0f0f0f0f0f0f, APInt(64, 0xf0f0f0f0f0f0f0f0).reverseBits());
1668   EXPECT_EQ(0xf0f0f0f0f0f0f0f0, APInt(64, 0x0f0f0f0f0f0f0f0f).reverseBits());
1669 
1670   for (unsigned N : { 1, 8, 16, 24, 31, 32, 33,
1671                       63, 64, 65, 127, 128, 257, 1024 }) {
1672     for (unsigned I = 0; I < N; ++I) {
1673       APInt X = APInt::getOneBitSet(N, I);
1674       APInt Y = APInt::getOneBitSet(N, N - (I + 1));
1675       EXPECT_EQ(Y, X.reverseBits());
1676       EXPECT_EQ(X, Y.reverseBits());
1677     }
1678   }
1679 }
1680 
1681 TEST(APIntTest, insertBits) {
1682   APInt iSrc(31, 0x00123456);
1683 
1684   // Direct copy.
1685   APInt i31(31, 0x76543210ull);
1686   i31.insertBits(iSrc, 0);
1687   EXPECT_EQ(static_cast<int64_t>(0x00123456ull), i31.getSExtValue());
1688 
1689   // Single word src/dst insertion.
1690   APInt i63(63, 0x01234567FFFFFFFFull);
1691   i63.insertBits(iSrc, 4);
1692   EXPECT_EQ(static_cast<int64_t>(0x012345600123456Full), i63.getSExtValue());
1693 
1694   // Insert single word src into one word of dst.
1695   APInt i120(120, UINT64_MAX, true);
1696   i120.insertBits(iSrc, 8);
1697   EXPECT_EQ(static_cast<int64_t>(0xFFFFFF80123456FFull), i120.getSExtValue());
1698 
1699   // Insert single word src into two words of dst.
1700   APInt i127(127, UINT64_MAX, true);
1701   i127.insertBits(iSrc, 48);
1702   EXPECT_EQ(i127.extractBits(64, 0).getZExtValue(), 0x3456FFFFFFFFFFFFull);
1703   EXPECT_EQ(i127.extractBits(63, 64).getZExtValue(), 0x7FFFFFFFFFFF8012ull);
1704 
1705   // Insert on word boundaries.
1706   APInt i128(128, 0);
1707   i128.insertBits(APInt(64, UINT64_MAX, true), 0);
1708   i128.insertBits(APInt(64, UINT64_MAX, true), 64);
1709   EXPECT_EQ(-1, i128.getSExtValue());
1710 
1711   APInt i256(256, UINT64_MAX, true);
1712   i256.insertBits(APInt(65, 0), 0);
1713   i256.insertBits(APInt(69, 0), 64);
1714   i256.insertBits(APInt(128, 0), 128);
1715   EXPECT_EQ(0u, i256.getSExtValue());
1716 
1717   APInt i257(257, 0);
1718   i257.insertBits(APInt(96, UINT64_MAX, true), 64);
1719   EXPECT_EQ(i257.extractBits(64, 0).getZExtValue(), 0x0000000000000000ull);
1720   EXPECT_EQ(i257.extractBits(64, 64).getZExtValue(), 0xFFFFFFFFFFFFFFFFull);
1721   EXPECT_EQ(i257.extractBits(64, 128).getZExtValue(), 0x00000000FFFFFFFFull);
1722   EXPECT_EQ(i257.extractBits(65, 192).getZExtValue(), 0x0000000000000000ull);
1723 
1724   // General insertion.
1725   APInt i260(260, UINT64_MAX, true);
1726   i260.insertBits(APInt(129, 1ull << 48), 15);
1727   EXPECT_EQ(i260.extractBits(64, 0).getZExtValue(), 0x8000000000007FFFull);
1728   EXPECT_EQ(i260.extractBits(64, 64).getZExtValue(), 0x0000000000000000ull);
1729   EXPECT_EQ(i260.extractBits(64, 128).getZExtValue(), 0xFFFFFFFFFFFF0000ull);
1730   EXPECT_EQ(i260.extractBits(64, 192).getZExtValue(), 0xFFFFFFFFFFFFFFFFull);
1731   EXPECT_EQ(i260.extractBits(4, 256).getZExtValue(), 0x000000000000000Full);
1732 }
1733 
1734 TEST(APIntTest, extractBits) {
1735   APInt i32(32, 0x1234567);
1736   EXPECT_EQ(0x3456, i32.extractBits(16, 4));
1737 
1738   APInt i257(257, 0xFFFFFFFFFF0000FFull, true);
1739   EXPECT_EQ(0xFFu, i257.extractBits(16, 0));
1740   EXPECT_EQ((0xFFu >> 1), i257.extractBits(16, 1));
1741   EXPECT_EQ(-1, i257.extractBits(32, 64).getSExtValue());
1742   EXPECT_EQ(-1, i257.extractBits(128, 128).getSExtValue());
1743   EXPECT_EQ(-1, i257.extractBits(66, 191).getSExtValue());
1744   EXPECT_EQ(static_cast<int64_t>(0xFFFFFFFFFF80007Full),
1745             i257.extractBits(128, 1).getSExtValue());
1746   EXPECT_EQ(static_cast<int64_t>(0xFFFFFFFFFF80007Full),
1747             i257.extractBits(129, 1).getSExtValue());
1748 }
1749 
1750 TEST(APIntTest, getLowBitsSet) {
1751   APInt i128lo64 = APInt::getLowBitsSet(128, 64);
1752   EXPECT_EQ(0u, i128lo64.countLeadingOnes());
1753   EXPECT_EQ(64u, i128lo64.countLeadingZeros());
1754   EXPECT_EQ(64u, i128lo64.getActiveBits());
1755   EXPECT_EQ(0u, i128lo64.countTrailingZeros());
1756   EXPECT_EQ(64u, i128lo64.countTrailingOnes());
1757   EXPECT_EQ(64u, i128lo64.countPopulation());
1758 }
1759 
1760 TEST(APIntTest, getBitsSet) {
1761   APInt i64hi1lo1 = APInt::getBitsSet(64, 63, 1);
1762   EXPECT_EQ(1u, i64hi1lo1.countLeadingOnes());
1763   EXPECT_EQ(0u, i64hi1lo1.countLeadingZeros());
1764   EXPECT_EQ(64u, i64hi1lo1.getActiveBits());
1765   EXPECT_EQ(0u, i64hi1lo1.countTrailingZeros());
1766   EXPECT_EQ(1u, i64hi1lo1.countTrailingOnes());
1767   EXPECT_EQ(2u, i64hi1lo1.countPopulation());
1768 
1769   APInt i127hi1lo1 = APInt::getBitsSet(127, 126, 1);
1770   EXPECT_EQ(1u, i127hi1lo1.countLeadingOnes());
1771   EXPECT_EQ(0u, i127hi1lo1.countLeadingZeros());
1772   EXPECT_EQ(127u, i127hi1lo1.getActiveBits());
1773   EXPECT_EQ(0u, i127hi1lo1.countTrailingZeros());
1774   EXPECT_EQ(1u, i127hi1lo1.countTrailingOnes());
1775   EXPECT_EQ(2u, i127hi1lo1.countPopulation());
1776 }
1777 
1778 TEST(APIntTest, getHighBitsSet) {
1779   APInt i64hi32 = APInt::getHighBitsSet(64, 32);
1780   EXPECT_EQ(32u, i64hi32.countLeadingOnes());
1781   EXPECT_EQ(0u, i64hi32.countLeadingZeros());
1782   EXPECT_EQ(64u, i64hi32.getActiveBits());
1783   EXPECT_EQ(32u, i64hi32.countTrailingZeros());
1784   EXPECT_EQ(0u, i64hi32.countTrailingOnes());
1785   EXPECT_EQ(32u, i64hi32.countPopulation());
1786 }
1787 
1788 TEST(APIntTest, getBitsSetFrom) {
1789   APInt i64hi31 = APInt::getBitsSetFrom(64, 33);
1790   EXPECT_EQ(31u, i64hi31.countLeadingOnes());
1791   EXPECT_EQ(0u, i64hi31.countLeadingZeros());
1792   EXPECT_EQ(64u, i64hi31.getActiveBits());
1793   EXPECT_EQ(33u, i64hi31.countTrailingZeros());
1794   EXPECT_EQ(0u, i64hi31.countTrailingOnes());
1795   EXPECT_EQ(31u, i64hi31.countPopulation());
1796 }
1797 
1798 TEST(APIntTest, setLowBits) {
1799   APInt i64lo32(64, 0);
1800   i64lo32.setLowBits(32);
1801   EXPECT_EQ(0u, i64lo32.countLeadingOnes());
1802   EXPECT_EQ(32u, i64lo32.countLeadingZeros());
1803   EXPECT_EQ(32u, i64lo32.getActiveBits());
1804   EXPECT_EQ(0u, i64lo32.countTrailingZeros());
1805   EXPECT_EQ(32u, i64lo32.countTrailingOnes());
1806   EXPECT_EQ(32u, i64lo32.countPopulation());
1807 
1808   APInt i128lo64(128, 0);
1809   i128lo64.setLowBits(64);
1810   EXPECT_EQ(0u, i128lo64.countLeadingOnes());
1811   EXPECT_EQ(64u, i128lo64.countLeadingZeros());
1812   EXPECT_EQ(64u, i128lo64.getActiveBits());
1813   EXPECT_EQ(0u, i128lo64.countTrailingZeros());
1814   EXPECT_EQ(64u, i128lo64.countTrailingOnes());
1815   EXPECT_EQ(64u, i128lo64.countPopulation());
1816 
1817   APInt i128lo24(128, 0);
1818   i128lo24.setLowBits(24);
1819   EXPECT_EQ(0u, i128lo24.countLeadingOnes());
1820   EXPECT_EQ(104u, i128lo24.countLeadingZeros());
1821   EXPECT_EQ(24u, i128lo24.getActiveBits());
1822   EXPECT_EQ(0u, i128lo24.countTrailingZeros());
1823   EXPECT_EQ(24u, i128lo24.countTrailingOnes());
1824   EXPECT_EQ(24u, i128lo24.countPopulation());
1825 
1826   APInt i128lo104(128, 0);
1827   i128lo104.setLowBits(104);
1828   EXPECT_EQ(0u, i128lo104.countLeadingOnes());
1829   EXPECT_EQ(24u, i128lo104.countLeadingZeros());
1830   EXPECT_EQ(104u, i128lo104.getActiveBits());
1831   EXPECT_EQ(0u, i128lo104.countTrailingZeros());
1832   EXPECT_EQ(104u, i128lo104.countTrailingOnes());
1833   EXPECT_EQ(104u, i128lo104.countPopulation());
1834 
1835   APInt i128lo0(128, 0);
1836   i128lo0.setLowBits(0);
1837   EXPECT_EQ(0u, i128lo0.countLeadingOnes());
1838   EXPECT_EQ(128u, i128lo0.countLeadingZeros());
1839   EXPECT_EQ(0u, i128lo0.getActiveBits());
1840   EXPECT_EQ(128u, i128lo0.countTrailingZeros());
1841   EXPECT_EQ(0u, i128lo0.countTrailingOnes());
1842   EXPECT_EQ(0u, i128lo0.countPopulation());
1843 
1844   APInt i80lo79(80, 0);
1845   i80lo79.setLowBits(79);
1846   EXPECT_EQ(0u, i80lo79.countLeadingOnes());
1847   EXPECT_EQ(1u, i80lo79.countLeadingZeros());
1848   EXPECT_EQ(79u, i80lo79.getActiveBits());
1849   EXPECT_EQ(0u, i80lo79.countTrailingZeros());
1850   EXPECT_EQ(79u, i80lo79.countTrailingOnes());
1851   EXPECT_EQ(79u, i80lo79.countPopulation());
1852 }
1853 
1854 TEST(APIntTest, setHighBits) {
1855   APInt i64hi32(64, 0);
1856   i64hi32.setHighBits(32);
1857   EXPECT_EQ(32u, i64hi32.countLeadingOnes());
1858   EXPECT_EQ(0u, i64hi32.countLeadingZeros());
1859   EXPECT_EQ(64u, i64hi32.getActiveBits());
1860   EXPECT_EQ(32u, i64hi32.countTrailingZeros());
1861   EXPECT_EQ(0u, i64hi32.countTrailingOnes());
1862   EXPECT_EQ(32u, i64hi32.countPopulation());
1863 
1864   APInt i128hi64(128, 0);
1865   i128hi64.setHighBits(64);
1866   EXPECT_EQ(64u, i128hi64.countLeadingOnes());
1867   EXPECT_EQ(0u, i128hi64.countLeadingZeros());
1868   EXPECT_EQ(128u, i128hi64.getActiveBits());
1869   EXPECT_EQ(64u, i128hi64.countTrailingZeros());
1870   EXPECT_EQ(0u, i128hi64.countTrailingOnes());
1871   EXPECT_EQ(64u, i128hi64.countPopulation());
1872 
1873   APInt i128hi24(128, 0);
1874   i128hi24.setHighBits(24);
1875   EXPECT_EQ(24u, i128hi24.countLeadingOnes());
1876   EXPECT_EQ(0u, i128hi24.countLeadingZeros());
1877   EXPECT_EQ(128u, i128hi24.getActiveBits());
1878   EXPECT_EQ(104u, i128hi24.countTrailingZeros());
1879   EXPECT_EQ(0u, i128hi24.countTrailingOnes());
1880   EXPECT_EQ(24u, i128hi24.countPopulation());
1881 
1882   APInt i128hi104(128, 0);
1883   i128hi104.setHighBits(104);
1884   EXPECT_EQ(104u, i128hi104.countLeadingOnes());
1885   EXPECT_EQ(0u, i128hi104.countLeadingZeros());
1886   EXPECT_EQ(128u, i128hi104.getActiveBits());
1887   EXPECT_EQ(24u, i128hi104.countTrailingZeros());
1888   EXPECT_EQ(0u, i128hi104.countTrailingOnes());
1889   EXPECT_EQ(104u, i128hi104.countPopulation());
1890 
1891   APInt i128hi0(128, 0);
1892   i128hi0.setHighBits(0);
1893   EXPECT_EQ(0u, i128hi0.countLeadingOnes());
1894   EXPECT_EQ(128u, i128hi0.countLeadingZeros());
1895   EXPECT_EQ(0u, i128hi0.getActiveBits());
1896   EXPECT_EQ(128u, i128hi0.countTrailingZeros());
1897   EXPECT_EQ(0u, i128hi0.countTrailingOnes());
1898   EXPECT_EQ(0u, i128hi0.countPopulation());
1899 
1900   APInt i80hi1(80, 0);
1901   i80hi1.setHighBits(1);
1902   EXPECT_EQ(1u, i80hi1.countLeadingOnes());
1903   EXPECT_EQ(0u, i80hi1.countLeadingZeros());
1904   EXPECT_EQ(80u, i80hi1.getActiveBits());
1905   EXPECT_EQ(79u, i80hi1.countTrailingZeros());
1906   EXPECT_EQ(0u, i80hi1.countTrailingOnes());
1907   EXPECT_EQ(1u, i80hi1.countPopulation());
1908 
1909   APInt i32hi16(32, 0);
1910   i32hi16.setHighBits(16);
1911   EXPECT_EQ(16u, i32hi16.countLeadingOnes());
1912   EXPECT_EQ(0u, i32hi16.countLeadingZeros());
1913   EXPECT_EQ(32u, i32hi16.getActiveBits());
1914   EXPECT_EQ(16u, i32hi16.countTrailingZeros());
1915   EXPECT_EQ(0u, i32hi16.countTrailingOnes());
1916   EXPECT_EQ(16u, i32hi16.countPopulation());
1917 }
1918 
1919 TEST(APIntTest, setBitsFrom) {
1920   APInt i64from63(64, 0);
1921   i64from63.setBitsFrom(63);
1922   EXPECT_EQ(1u, i64from63.countLeadingOnes());
1923   EXPECT_EQ(0u, i64from63.countLeadingZeros());
1924   EXPECT_EQ(64u, i64from63.getActiveBits());
1925   EXPECT_EQ(63u, i64from63.countTrailingZeros());
1926   EXPECT_EQ(0u, i64from63.countTrailingOnes());
1927   EXPECT_EQ(1u, i64from63.countPopulation());
1928 }
1929 
1930 TEST(APIntTest, setAllBits) {
1931   APInt i32(32, 0);
1932   i32.setAllBits();
1933   EXPECT_EQ(32u, i32.countLeadingOnes());
1934   EXPECT_EQ(0u, i32.countLeadingZeros());
1935   EXPECT_EQ(32u, i32.getActiveBits());
1936   EXPECT_EQ(0u, i32.countTrailingZeros());
1937   EXPECT_EQ(32u, i32.countTrailingOnes());
1938   EXPECT_EQ(32u, i32.countPopulation());
1939 
1940   APInt i64(64, 0);
1941   i64.setAllBits();
1942   EXPECT_EQ(64u, i64.countLeadingOnes());
1943   EXPECT_EQ(0u, i64.countLeadingZeros());
1944   EXPECT_EQ(64u, i64.getActiveBits());
1945   EXPECT_EQ(0u, i64.countTrailingZeros());
1946   EXPECT_EQ(64u, i64.countTrailingOnes());
1947   EXPECT_EQ(64u, i64.countPopulation());
1948 
1949   APInt i96(96, 0);
1950   i96.setAllBits();
1951   EXPECT_EQ(96u, i96.countLeadingOnes());
1952   EXPECT_EQ(0u, i96.countLeadingZeros());
1953   EXPECT_EQ(96u, i96.getActiveBits());
1954   EXPECT_EQ(0u, i96.countTrailingZeros());
1955   EXPECT_EQ(96u, i96.countTrailingOnes());
1956   EXPECT_EQ(96u, i96.countPopulation());
1957 
1958   APInt i128(128, 0);
1959   i128.setAllBits();
1960   EXPECT_EQ(128u, i128.countLeadingOnes());
1961   EXPECT_EQ(0u, i128.countLeadingZeros());
1962   EXPECT_EQ(128u, i128.getActiveBits());
1963   EXPECT_EQ(0u, i128.countTrailingZeros());
1964   EXPECT_EQ(128u, i128.countTrailingOnes());
1965   EXPECT_EQ(128u, i128.countPopulation());
1966 }
1967 
1968 TEST(APIntTest, getLoBits) {
1969   APInt i32(32, 0xfa);
1970   i32.setHighBits(1);
1971   EXPECT_EQ(0xa, i32.getLoBits(4));
1972   APInt i128(128, 0xfa);
1973   i128.setHighBits(1);
1974   EXPECT_EQ(0xa, i128.getLoBits(4));
1975 }
1976 
1977 TEST(APIntTest, getHiBits) {
1978   APInt i32(32, 0xfa);
1979   i32.setHighBits(2);
1980   EXPECT_EQ(0xc, i32.getHiBits(4));
1981   APInt i128(128, 0xfa);
1982   i128.setHighBits(2);
1983   EXPECT_EQ(0xc, i128.getHiBits(4));
1984 }
1985 
1986 TEST(APIntTest, GCD) {
1987   using APIntOps::GreatestCommonDivisor;
1988 
1989   for (unsigned Bits : {1, 2, 32, 63, 64, 65}) {
1990     // Test some corner cases near zero.
1991     APInt Zero(Bits, 0), One(Bits, 1);
1992     EXPECT_EQ(GreatestCommonDivisor(Zero, Zero), Zero);
1993     EXPECT_EQ(GreatestCommonDivisor(Zero, One), One);
1994     EXPECT_EQ(GreatestCommonDivisor(One, Zero), One);
1995     EXPECT_EQ(GreatestCommonDivisor(One, One), One);
1996 
1997     if (Bits > 1) {
1998       APInt Two(Bits, 2);
1999       EXPECT_EQ(GreatestCommonDivisor(Zero, Two), Two);
2000       EXPECT_EQ(GreatestCommonDivisor(One, Two), One);
2001       EXPECT_EQ(GreatestCommonDivisor(Two, Two), Two);
2002 
2003       // Test some corner cases near the highest representable value.
2004       APInt Max(Bits, 0);
2005       Max.setAllBits();
2006       EXPECT_EQ(GreatestCommonDivisor(Zero, Max), Max);
2007       EXPECT_EQ(GreatestCommonDivisor(One, Max), One);
2008       EXPECT_EQ(GreatestCommonDivisor(Two, Max), One);
2009       EXPECT_EQ(GreatestCommonDivisor(Max, Max), Max);
2010 
2011       APInt MaxOver2 = Max.udiv(Two);
2012       EXPECT_EQ(GreatestCommonDivisor(MaxOver2, Max), One);
2013       // Max - 1 == Max / 2 * 2, because Max is odd.
2014       EXPECT_EQ(GreatestCommonDivisor(MaxOver2, Max - 1), MaxOver2);
2015     }
2016   }
2017 
2018   // Compute the 20th Mersenne prime.
2019   const unsigned BitWidth = 4450;
2020   APInt HugePrime = APInt::getLowBitsSet(BitWidth, 4423);
2021 
2022   // 9931 and 123456 are coprime.
2023   APInt A = HugePrime * APInt(BitWidth, 9931);
2024   APInt B = HugePrime * APInt(BitWidth, 123456);
2025   APInt C = GreatestCommonDivisor(A, B);
2026   EXPECT_EQ(C, HugePrime);
2027 }
2028