xref: /llvm-project/llvm/unittests/ADT/APIntTest.cpp (revision 6fd0a5c99dbcd8b9eb8f6a6489d431d9852a8ee5)
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, i128_NegativeCount) {
41   APInt Minus3(128, static_cast<uint64_t>(-3), true);
42   EXPECT_EQ(126u, Minus3.countLeadingOnes());
43   EXPECT_EQ(-3, Minus3.getSExtValue());
44 
45   APInt Minus1(128, static_cast<uint64_t>(-1), true);
46   EXPECT_EQ(0u, Minus1.countLeadingZeros());
47   EXPECT_EQ(128u, Minus1.countLeadingOnes());
48   EXPECT_EQ(128u, Minus1.getActiveBits());
49   EXPECT_EQ(0u, Minus1.countTrailingZeros());
50   EXPECT_EQ(128u, Minus1.countTrailingOnes());
51   EXPECT_EQ(128u, Minus1.countPopulation());
52   EXPECT_EQ(-1, Minus1.getSExtValue());
53 }
54 
55 TEST(APIntTest, i33_Count) {
56   APInt i33minus2(33, static_cast<uint64_t>(-2), true);
57   EXPECT_EQ(0u, i33minus2.countLeadingZeros());
58   EXPECT_EQ(32u, i33minus2.countLeadingOnes());
59   EXPECT_EQ(33u, i33minus2.getActiveBits());
60   EXPECT_EQ(1u, i33minus2.countTrailingZeros());
61   EXPECT_EQ(32u, i33minus2.countPopulation());
62   EXPECT_EQ(-2, i33minus2.getSExtValue());
63   EXPECT_EQ(((uint64_t)-2)&((1ull<<33) -1), i33minus2.getZExtValue());
64 }
65 
66 TEST(APIntTest, i61_Count) {
67   APInt i61(61, 1 << 15);
68   EXPECT_EQ(45u, i61.countLeadingZeros());
69   EXPECT_EQ(0u, i61.countLeadingOnes());
70   EXPECT_EQ(16u, i61.getActiveBits());
71   EXPECT_EQ(15u, i61.countTrailingZeros());
72   EXPECT_EQ(1u, i61.countPopulation());
73   EXPECT_EQ(static_cast<int64_t>(1 << 15), i61.getSExtValue());
74   EXPECT_EQ(static_cast<uint64_t>(1 << 15), i61.getZExtValue());
75 
76   i61.setBits(8, 19);
77   EXPECT_EQ(42u, i61.countLeadingZeros());
78   EXPECT_EQ(0u, i61.countLeadingOnes());
79   EXPECT_EQ(19u, i61.getActiveBits());
80   EXPECT_EQ(8u, i61.countTrailingZeros());
81   EXPECT_EQ(11u, i61.countPopulation());
82   EXPECT_EQ(static_cast<int64_t>((1 << 19) - (1 << 8)), i61.getSExtValue());
83   EXPECT_EQ(static_cast<uint64_t>((1 << 19) - (1 << 8)), i61.getZExtValue());
84 }
85 
86 TEST(APIntTest, i65_Count) {
87   APInt i65(65, 0, true);
88   EXPECT_EQ(65u, i65.countLeadingZeros());
89   EXPECT_EQ(0u, i65.countLeadingOnes());
90   EXPECT_EQ(0u, i65.getActiveBits());
91   EXPECT_EQ(1u, i65.getActiveWords());
92   EXPECT_EQ(65u, i65.countTrailingZeros());
93   EXPECT_EQ(0u, i65.countPopulation());
94 
95   APInt i65minus(65, 0, true);
96   i65minus.setBit(64);
97   EXPECT_EQ(0u, i65minus.countLeadingZeros());
98   EXPECT_EQ(1u, i65minus.countLeadingOnes());
99   EXPECT_EQ(65u, i65minus.getActiveBits());
100   EXPECT_EQ(64u, i65minus.countTrailingZeros());
101   EXPECT_EQ(1u, i65minus.countPopulation());
102 }
103 
104 TEST(APIntTest, i128_PositiveCount) {
105   APInt u128max = APInt::getAllOnesValue(128);
106   EXPECT_EQ(128u, u128max.countLeadingOnes());
107   EXPECT_EQ(0u, u128max.countLeadingZeros());
108   EXPECT_EQ(128u, u128max.getActiveBits());
109   EXPECT_EQ(0u, u128max.countTrailingZeros());
110   EXPECT_EQ(128u, u128max.countTrailingOnes());
111   EXPECT_EQ(128u, u128max.countPopulation());
112 
113   APInt u64max(128, static_cast<uint64_t>(-1), false);
114   EXPECT_EQ(64u, u64max.countLeadingZeros());
115   EXPECT_EQ(0u, u64max.countLeadingOnes());
116   EXPECT_EQ(64u, u64max.getActiveBits());
117   EXPECT_EQ(0u, u64max.countTrailingZeros());
118   EXPECT_EQ(64u, u64max.countTrailingOnes());
119   EXPECT_EQ(64u, u64max.countPopulation());
120   EXPECT_EQ((uint64_t)~0ull, u64max.getZExtValue());
121 
122   APInt zero(128, 0, true);
123   EXPECT_EQ(128u, zero.countLeadingZeros());
124   EXPECT_EQ(0u, zero.countLeadingOnes());
125   EXPECT_EQ(0u, zero.getActiveBits());
126   EXPECT_EQ(128u, zero.countTrailingZeros());
127   EXPECT_EQ(0u, zero.countTrailingOnes());
128   EXPECT_EQ(0u, zero.countPopulation());
129   EXPECT_EQ(0u, zero.getSExtValue());
130   EXPECT_EQ(0u, zero.getZExtValue());
131 
132   APInt one(128, 1, true);
133   EXPECT_EQ(127u, one.countLeadingZeros());
134   EXPECT_EQ(0u, one.countLeadingOnes());
135   EXPECT_EQ(1u, one.getActiveBits());
136   EXPECT_EQ(0u, one.countTrailingZeros());
137   EXPECT_EQ(1u, one.countTrailingOnes());
138   EXPECT_EQ(1u, one.countPopulation());
139   EXPECT_EQ(1, one.getSExtValue());
140   EXPECT_EQ(1u, one.getZExtValue());
141 
142   APInt s128(128, 2, true);
143   EXPECT_EQ(126u, s128.countLeadingZeros());
144   EXPECT_EQ(0u, s128.countLeadingOnes());
145   EXPECT_EQ(2u, s128.getActiveBits());
146   EXPECT_EQ(1u, s128.countTrailingZeros());
147   EXPECT_EQ(0u, s128.countTrailingOnes());
148   EXPECT_EQ(1u, s128.countPopulation());
149   EXPECT_EQ(2, s128.getSExtValue());
150   EXPECT_EQ(2u, s128.getZExtValue());
151 
152   // NOP Test
153   s128.setBits(42, 42);
154   EXPECT_EQ(126u, s128.countLeadingZeros());
155   EXPECT_EQ(0u, s128.countLeadingOnes());
156   EXPECT_EQ(2u, s128.getActiveBits());
157   EXPECT_EQ(1u, s128.countTrailingZeros());
158   EXPECT_EQ(0u, s128.countTrailingOnes());
159   EXPECT_EQ(1u, s128.countPopulation());
160   EXPECT_EQ(2, s128.getSExtValue());
161   EXPECT_EQ(2u, s128.getZExtValue());
162 
163   s128.setBits(3, 32);
164   EXPECT_EQ(96u, s128.countLeadingZeros());
165   EXPECT_EQ(0u, s128.countLeadingOnes());
166   EXPECT_EQ(32u, s128.getActiveBits());
167   EXPECT_EQ(33u, s128.getMinSignedBits());
168   EXPECT_EQ(1u, s128.countTrailingZeros());
169   EXPECT_EQ(0u, s128.countTrailingOnes());
170   EXPECT_EQ(30u, s128.countPopulation());
171   EXPECT_EQ(static_cast<uint32_t>((~0u << 3) | 2), s128.getZExtValue());
172 
173   s128.setBits(62, 128);
174   EXPECT_EQ(0u, s128.countLeadingZeros());
175   EXPECT_EQ(66u, s128.countLeadingOnes());
176   EXPECT_EQ(128u, s128.getActiveBits());
177   EXPECT_EQ(63u, s128.getMinSignedBits());
178   EXPECT_EQ(1u, s128.countTrailingZeros());
179   EXPECT_EQ(0u, s128.countTrailingOnes());
180   EXPECT_EQ(96u, s128.countPopulation());
181   EXPECT_EQ(static_cast<int64_t>((3ull << 62) |
182                                  static_cast<uint32_t>((~0u << 3) | 2)),
183             s128.getSExtValue());
184 }
185 
186 TEST(APIntTest, i256) {
187   APInt s256(256, 15, true);
188   EXPECT_EQ(252u, s256.countLeadingZeros());
189   EXPECT_EQ(0u, s256.countLeadingOnes());
190   EXPECT_EQ(4u, s256.getActiveBits());
191   EXPECT_EQ(0u, s256.countTrailingZeros());
192   EXPECT_EQ(4u, s256.countTrailingOnes());
193   EXPECT_EQ(4u, s256.countPopulation());
194   EXPECT_EQ(15, s256.getSExtValue());
195   EXPECT_EQ(15u, s256.getZExtValue());
196 
197   s256.setBits(62, 66);
198   EXPECT_EQ(190u, s256.countLeadingZeros());
199   EXPECT_EQ(0u, s256.countLeadingOnes());
200   EXPECT_EQ(66u, s256.getActiveBits());
201   EXPECT_EQ(67u, s256.getMinSignedBits());
202   EXPECT_EQ(0u, s256.countTrailingZeros());
203   EXPECT_EQ(4u, s256.countTrailingOnes());
204   EXPECT_EQ(8u, s256.countPopulation());
205 
206   s256.setBits(60, 256);
207   EXPECT_EQ(0u, s256.countLeadingZeros());
208   EXPECT_EQ(196u, s256.countLeadingOnes());
209   EXPECT_EQ(256u, s256.getActiveBits());
210   EXPECT_EQ(61u, s256.getMinSignedBits());
211   EXPECT_EQ(0u, s256.countTrailingZeros());
212   EXPECT_EQ(4u, s256.countTrailingOnes());
213   EXPECT_EQ(200u, s256.countPopulation());
214   EXPECT_EQ(static_cast<int64_t>((~0ull << 60) | 15), s256.getSExtValue());
215 }
216 
217 TEST(APIntTest, i1) {
218   const APInt neg_two(1, static_cast<uint64_t>(-2), true);
219   const APInt neg_one(1, static_cast<uint64_t>(-1), true);
220   const APInt zero(1, 0);
221   const APInt one(1, 1);
222   const APInt two(1, 2);
223 
224   EXPECT_EQ(0, neg_two.getSExtValue());
225   EXPECT_EQ(-1, neg_one.getSExtValue());
226   EXPECT_EQ(1u, neg_one.getZExtValue());
227   EXPECT_EQ(0u, zero.getZExtValue());
228   EXPECT_EQ(-1, one.getSExtValue());
229   EXPECT_EQ(1u, one.getZExtValue());
230   EXPECT_EQ(0u, two.getZExtValue());
231   EXPECT_EQ(0, two.getSExtValue());
232 
233   // Basic equalities for 1-bit values.
234   EXPECT_EQ(zero, two);
235   EXPECT_EQ(zero, neg_two);
236   EXPECT_EQ(one, neg_one);
237   EXPECT_EQ(two, neg_two);
238 
239   // Min/max signed values.
240   EXPECT_TRUE(zero.isMaxSignedValue());
241   EXPECT_FALSE(one.isMaxSignedValue());
242   EXPECT_FALSE(zero.isMinSignedValue());
243   EXPECT_TRUE(one.isMinSignedValue());
244 
245   // Additions.
246   EXPECT_EQ(two, one + one);
247   EXPECT_EQ(zero, neg_one + one);
248   EXPECT_EQ(neg_two, neg_one + neg_one);
249 
250   // Subtractions.
251   EXPECT_EQ(neg_two, neg_one - one);
252   EXPECT_EQ(two, one - neg_one);
253   EXPECT_EQ(zero, one - one);
254 
255   // And
256   EXPECT_EQ(zero, zero & zero);
257   EXPECT_EQ(zero, one & zero);
258   EXPECT_EQ(zero, zero & one);
259   EXPECT_EQ(one, one & one);
260   EXPECT_EQ(zero, zero & zero);
261   EXPECT_EQ(zero, neg_one & zero);
262   EXPECT_EQ(zero, zero & neg_one);
263   EXPECT_EQ(neg_one, neg_one & neg_one);
264 
265   // Or
266   EXPECT_EQ(zero, zero | zero);
267   EXPECT_EQ(one, one | zero);
268   EXPECT_EQ(one, zero | one);
269   EXPECT_EQ(one, one | one);
270   EXPECT_EQ(zero, zero | zero);
271   EXPECT_EQ(neg_one, neg_one | zero);
272   EXPECT_EQ(neg_one, zero | neg_one);
273   EXPECT_EQ(neg_one, neg_one | neg_one);
274 
275   // Xor
276   EXPECT_EQ(zero, zero ^ zero);
277   EXPECT_EQ(one, one ^ zero);
278   EXPECT_EQ(one, zero ^ one);
279   EXPECT_EQ(zero, one ^ one);
280   EXPECT_EQ(zero, zero ^ zero);
281   EXPECT_EQ(neg_one, neg_one ^ zero);
282   EXPECT_EQ(neg_one, zero ^ neg_one);
283   EXPECT_EQ(zero, neg_one ^ neg_one);
284 
285   // Shifts.
286   EXPECT_EQ(zero, one << one);
287   EXPECT_EQ(one, one << zero);
288   EXPECT_EQ(zero, one.shl(1));
289   EXPECT_EQ(one, one.shl(0));
290   EXPECT_EQ(zero, one.lshr(1));
291   EXPECT_EQ(zero, one.ashr(1));
292 
293   // Rotates.
294   EXPECT_EQ(one, one.rotl(0));
295   EXPECT_EQ(one, one.rotl(1));
296   EXPECT_EQ(one, one.rotr(0));
297   EXPECT_EQ(one, one.rotr(1));
298 
299   // Multiplies.
300   EXPECT_EQ(neg_one, neg_one * one);
301   EXPECT_EQ(neg_one, one * neg_one);
302   EXPECT_EQ(one, neg_one * neg_one);
303   EXPECT_EQ(one, one * one);
304 
305   // Divides.
306   EXPECT_EQ(neg_one, one.sdiv(neg_one));
307   EXPECT_EQ(neg_one, neg_one.sdiv(one));
308   EXPECT_EQ(one, neg_one.sdiv(neg_one));
309   EXPECT_EQ(one, one.sdiv(one));
310 
311   EXPECT_EQ(neg_one, one.udiv(neg_one));
312   EXPECT_EQ(neg_one, neg_one.udiv(one));
313   EXPECT_EQ(one, neg_one.udiv(neg_one));
314   EXPECT_EQ(one, one.udiv(one));
315 
316   // Remainders.
317   EXPECT_EQ(zero, neg_one.srem(one));
318   EXPECT_EQ(zero, neg_one.urem(one));
319   EXPECT_EQ(zero, one.srem(neg_one));
320 
321   // sdivrem
322   {
323   APInt q(8, 0);
324   APInt r(8, 0);
325   APInt one(8, 1);
326   APInt two(8, 2);
327   APInt nine(8, 9);
328   APInt four(8, 4);
329 
330   EXPECT_EQ(nine.srem(two), one);
331   EXPECT_EQ(nine.srem(-two), one);
332   EXPECT_EQ((-nine).srem(two), -one);
333   EXPECT_EQ((-nine).srem(-two), -one);
334 
335   APInt::sdivrem(nine, two, q, r);
336   EXPECT_EQ(four, q);
337   EXPECT_EQ(one, r);
338   APInt::sdivrem(-nine, two, q, r);
339   EXPECT_EQ(-four, q);
340   EXPECT_EQ(-one, r);
341   APInt::sdivrem(nine, -two, q, r);
342   EXPECT_EQ(-four, q);
343   EXPECT_EQ(one, r);
344   APInt::sdivrem(-nine, -two, q, r);
345   EXPECT_EQ(four, q);
346   EXPECT_EQ(-one, r);
347   }
348 }
349 
350 TEST(APIntTest, compare) {
351   std::array<APInt, 5> testVals{{
352     APInt{16, 2},
353     APInt{16, 1},
354     APInt{16, 0},
355     APInt{16, (uint64_t)-1, true},
356     APInt{16, (uint64_t)-2, true},
357   }};
358 
359   for (auto &arg1 : testVals)
360     for (auto &arg2 : testVals) {
361       auto uv1 = arg1.getZExtValue();
362       auto uv2 = arg2.getZExtValue();
363       auto sv1 = arg1.getSExtValue();
364       auto sv2 = arg2.getSExtValue();
365 
366       EXPECT_EQ(uv1 <  uv2, arg1.ult(arg2));
367       EXPECT_EQ(uv1 <= uv2, arg1.ule(arg2));
368       EXPECT_EQ(uv1 >  uv2, arg1.ugt(arg2));
369       EXPECT_EQ(uv1 >= uv2, arg1.uge(arg2));
370 
371       EXPECT_EQ(sv1 <  sv2, arg1.slt(arg2));
372       EXPECT_EQ(sv1 <= sv2, arg1.sle(arg2));
373       EXPECT_EQ(sv1 >  sv2, arg1.sgt(arg2));
374       EXPECT_EQ(sv1 >= sv2, arg1.sge(arg2));
375 
376       EXPECT_EQ(uv1 <  uv2, arg1.ult(uv2));
377       EXPECT_EQ(uv1 <= uv2, arg1.ule(uv2));
378       EXPECT_EQ(uv1 >  uv2, arg1.ugt(uv2));
379       EXPECT_EQ(uv1 >= uv2, arg1.uge(uv2));
380 
381       EXPECT_EQ(sv1 <  sv2, arg1.slt(sv2));
382       EXPECT_EQ(sv1 <= sv2, arg1.sle(sv2));
383       EXPECT_EQ(sv1 >  sv2, arg1.sgt(sv2));
384       EXPECT_EQ(sv1 >= sv2, arg1.sge(sv2));
385     }
386 }
387 
388 TEST(APIntTest, compareWithRawIntegers) {
389   EXPECT_TRUE(!APInt(8, 1).uge(256));
390   EXPECT_TRUE(!APInt(8, 1).ugt(256));
391   EXPECT_TRUE( APInt(8, 1).ule(256));
392   EXPECT_TRUE( APInt(8, 1).ult(256));
393   EXPECT_TRUE(!APInt(8, 1).sge(256));
394   EXPECT_TRUE(!APInt(8, 1).sgt(256));
395   EXPECT_TRUE( APInt(8, 1).sle(256));
396   EXPECT_TRUE( APInt(8, 1).slt(256));
397   EXPECT_TRUE(!(APInt(8, 0) == 256));
398   EXPECT_TRUE(  APInt(8, 0) != 256);
399   EXPECT_TRUE(!(APInt(8, 1) == 256));
400   EXPECT_TRUE(  APInt(8, 1) != 256);
401 
402   auto uint64max = UINT64_MAX;
403   auto int64max  = INT64_MAX;
404   auto int64min  = INT64_MIN;
405 
406   auto u64 = APInt{128, uint64max};
407   auto s64 = APInt{128, static_cast<uint64_t>(int64max), true};
408   auto big = u64 + 1;
409 
410   EXPECT_TRUE( u64.uge(uint64max));
411   EXPECT_TRUE(!u64.ugt(uint64max));
412   EXPECT_TRUE( u64.ule(uint64max));
413   EXPECT_TRUE(!u64.ult(uint64max));
414   EXPECT_TRUE( u64.sge(int64max));
415   EXPECT_TRUE( u64.sgt(int64max));
416   EXPECT_TRUE(!u64.sle(int64max));
417   EXPECT_TRUE(!u64.slt(int64max));
418   EXPECT_TRUE( u64.sge(int64min));
419   EXPECT_TRUE( u64.sgt(int64min));
420   EXPECT_TRUE(!u64.sle(int64min));
421   EXPECT_TRUE(!u64.slt(int64min));
422 
423   EXPECT_TRUE(u64 == uint64max);
424   EXPECT_TRUE(u64 != int64max);
425   EXPECT_TRUE(u64 != int64min);
426 
427   EXPECT_TRUE(!s64.uge(uint64max));
428   EXPECT_TRUE(!s64.ugt(uint64max));
429   EXPECT_TRUE( s64.ule(uint64max));
430   EXPECT_TRUE( s64.ult(uint64max));
431   EXPECT_TRUE( s64.sge(int64max));
432   EXPECT_TRUE(!s64.sgt(int64max));
433   EXPECT_TRUE( s64.sle(int64max));
434   EXPECT_TRUE(!s64.slt(int64max));
435   EXPECT_TRUE( s64.sge(int64min));
436   EXPECT_TRUE( s64.sgt(int64min));
437   EXPECT_TRUE(!s64.sle(int64min));
438   EXPECT_TRUE(!s64.slt(int64min));
439 
440   EXPECT_TRUE(s64 != uint64max);
441   EXPECT_TRUE(s64 == int64max);
442   EXPECT_TRUE(s64 != int64min);
443 
444   EXPECT_TRUE( big.uge(uint64max));
445   EXPECT_TRUE( big.ugt(uint64max));
446   EXPECT_TRUE(!big.ule(uint64max));
447   EXPECT_TRUE(!big.ult(uint64max));
448   EXPECT_TRUE( big.sge(int64max));
449   EXPECT_TRUE( big.sgt(int64max));
450   EXPECT_TRUE(!big.sle(int64max));
451   EXPECT_TRUE(!big.slt(int64max));
452   EXPECT_TRUE( big.sge(int64min));
453   EXPECT_TRUE( big.sgt(int64min));
454   EXPECT_TRUE(!big.sle(int64min));
455   EXPECT_TRUE(!big.slt(int64min));
456 
457   EXPECT_TRUE(big != uint64max);
458   EXPECT_TRUE(big != int64max);
459   EXPECT_TRUE(big != int64min);
460 }
461 
462 TEST(APIntTest, compareWithInt64Min) {
463   int64_t edge = INT64_MIN;
464   int64_t edgeP1 = edge + 1;
465   int64_t edgeM1 = INT64_MAX;
466   auto a = APInt{64, static_cast<uint64_t>(edge), true};
467 
468   EXPECT_TRUE(!a.slt(edge));
469   EXPECT_TRUE( a.sle(edge));
470   EXPECT_TRUE(!a.sgt(edge));
471   EXPECT_TRUE( a.sge(edge));
472   EXPECT_TRUE( a.slt(edgeP1));
473   EXPECT_TRUE( a.sle(edgeP1));
474   EXPECT_TRUE(!a.sgt(edgeP1));
475   EXPECT_TRUE(!a.sge(edgeP1));
476   EXPECT_TRUE( a.slt(edgeM1));
477   EXPECT_TRUE( a.sle(edgeM1));
478   EXPECT_TRUE(!a.sgt(edgeM1));
479   EXPECT_TRUE(!a.sge(edgeM1));
480 }
481 
482 TEST(APIntTest, compareWithHalfInt64Max) {
483   uint64_t edge = 0x4000000000000000;
484   uint64_t edgeP1 = edge + 1;
485   uint64_t edgeM1 = edge - 1;
486   auto a = APInt{64, edge};
487 
488   EXPECT_TRUE(!a.ult(edge));
489   EXPECT_TRUE( a.ule(edge));
490   EXPECT_TRUE(!a.ugt(edge));
491   EXPECT_TRUE( a.uge(edge));
492   EXPECT_TRUE( a.ult(edgeP1));
493   EXPECT_TRUE( a.ule(edgeP1));
494   EXPECT_TRUE(!a.ugt(edgeP1));
495   EXPECT_TRUE(!a.uge(edgeP1));
496   EXPECT_TRUE(!a.ult(edgeM1));
497   EXPECT_TRUE(!a.ule(edgeM1));
498   EXPECT_TRUE( a.ugt(edgeM1));
499   EXPECT_TRUE( a.uge(edgeM1));
500 
501   EXPECT_TRUE(!a.slt(edge));
502   EXPECT_TRUE( a.sle(edge));
503   EXPECT_TRUE(!a.sgt(edge));
504   EXPECT_TRUE( a.sge(edge));
505   EXPECT_TRUE( a.slt(edgeP1));
506   EXPECT_TRUE( a.sle(edgeP1));
507   EXPECT_TRUE(!a.sgt(edgeP1));
508   EXPECT_TRUE(!a.sge(edgeP1));
509   EXPECT_TRUE(!a.slt(edgeM1));
510   EXPECT_TRUE(!a.sle(edgeM1));
511   EXPECT_TRUE( a.sgt(edgeM1));
512   EXPECT_TRUE( a.sge(edgeM1));
513 }
514 
515 TEST(APIntTest, compareLargeIntegers) {
516   // Make sure all the combinations of signed comparisons work with big ints.
517   auto One = APInt{128, static_cast<uint64_t>(1), true};
518   auto Two = APInt{128, static_cast<uint64_t>(2), true};
519   auto MinusOne = APInt{128, static_cast<uint64_t>(-1), true};
520   auto MinusTwo = APInt{128, static_cast<uint64_t>(-2), true};
521 
522   EXPECT_TRUE(!One.slt(One));
523   EXPECT_TRUE(!Two.slt(One));
524   EXPECT_TRUE(MinusOne.slt(One));
525   EXPECT_TRUE(MinusTwo.slt(One));
526 
527   EXPECT_TRUE(One.slt(Two));
528   EXPECT_TRUE(!Two.slt(Two));
529   EXPECT_TRUE(MinusOne.slt(Two));
530   EXPECT_TRUE(MinusTwo.slt(Two));
531 
532   EXPECT_TRUE(!One.slt(MinusOne));
533   EXPECT_TRUE(!Two.slt(MinusOne));
534   EXPECT_TRUE(!MinusOne.slt(MinusOne));
535   EXPECT_TRUE(MinusTwo.slt(MinusOne));
536 
537   EXPECT_TRUE(!One.slt(MinusTwo));
538   EXPECT_TRUE(!Two.slt(MinusTwo));
539   EXPECT_TRUE(!MinusOne.slt(MinusTwo));
540   EXPECT_TRUE(!MinusTwo.slt(MinusTwo));
541 }
542 
543 TEST(APIntTest, binaryOpsWithRawIntegers) {
544   // Single word check.
545   uint64_t E1 = 0x2CA7F46BF6569915ULL;
546   APInt A1(64, E1);
547 
548   EXPECT_EQ(A1 & E1, E1);
549   EXPECT_EQ(A1 & 0, 0);
550   EXPECT_EQ(A1 & 1, 1);
551   EXPECT_EQ(A1 & 5, 5);
552   EXPECT_EQ(A1 & UINT64_MAX, E1);
553 
554   EXPECT_EQ(A1 | E1, E1);
555   EXPECT_EQ(A1 | 0, E1);
556   EXPECT_EQ(A1 | 1, E1);
557   EXPECT_EQ(A1 | 2, E1 | 2);
558   EXPECT_EQ(A1 | UINT64_MAX, UINT64_MAX);
559 
560   EXPECT_EQ(A1 ^ E1, 0);
561   EXPECT_EQ(A1 ^ 0, E1);
562   EXPECT_EQ(A1 ^ 1, E1 ^ 1);
563   EXPECT_EQ(A1 ^ 7, E1 ^ 7);
564   EXPECT_EQ(A1 ^ UINT64_MAX, ~E1);
565 
566   // Multiword check.
567   uint64_t N = 0xEB6EB136591CBA21ULL;
568   APInt::WordType E2[4] = {
569     N,
570     0x7B9358BD6A33F10AULL,
571     0x7E7FFA5EADD8846ULL,
572     0x305F341CA00B613DULL
573   };
574   APInt A2(APInt::APINT_BITS_PER_WORD*4, E2);
575 
576   EXPECT_EQ(A2 & N, N);
577   EXPECT_EQ(A2 & 0, 0);
578   EXPECT_EQ(A2 & 1, 1);
579   EXPECT_EQ(A2 & 5, 1);
580   EXPECT_EQ(A2 & UINT64_MAX, N);
581 
582   EXPECT_EQ(A2 | N, A2);
583   EXPECT_EQ(A2 | 0, A2);
584   EXPECT_EQ(A2 | 1, A2);
585   EXPECT_EQ(A2 | 2, A2 + 2);
586   EXPECT_EQ(A2 | UINT64_MAX, A2 - N + UINT64_MAX);
587 
588   EXPECT_EQ(A2 ^ N, A2 - N);
589   EXPECT_EQ(A2 ^ 0, A2);
590   EXPECT_EQ(A2 ^ 1, A2 - 1);
591   EXPECT_EQ(A2 ^ 7, A2 + 5);
592   EXPECT_EQ(A2 ^ UINT64_MAX, A2 - N + ~N);
593 }
594 
595 TEST(APIntTest, rvalue_arithmetic) {
596   // Test all combinations of lvalue/rvalue lhs/rhs of add/sub
597 
598   // Lamdba to return an APInt by value, but also provide the raw value of the
599   // allocated data.
600   auto getRValue = [](const char *HexString, uint64_t const *&RawData) {
601     APInt V(129, HexString, 16);
602     RawData = V.getRawData();
603     return V;
604   };
605 
606   APInt One(129, "1", 16);
607   APInt Two(129, "2", 16);
608   APInt Three(129, "3", 16);
609   APInt MinusOne = -One;
610 
611   const uint64_t *RawDataL = nullptr;
612   const uint64_t *RawDataR = nullptr;
613 
614   {
615     // 1 + 1 = 2
616     APInt AddLL = One + One;
617     EXPECT_EQ(AddLL, Two);
618 
619     APInt AddLR = One + getRValue("1", RawDataR);
620     EXPECT_EQ(AddLR, Two);
621     EXPECT_EQ(AddLR.getRawData(), RawDataR);
622 
623     APInt AddRL = getRValue("1", RawDataL) + One;
624     EXPECT_EQ(AddRL, Two);
625     EXPECT_EQ(AddRL.getRawData(), RawDataL);
626 
627     APInt AddRR = getRValue("1", RawDataL) + getRValue("1", RawDataR);
628     EXPECT_EQ(AddRR, Two);
629     EXPECT_EQ(AddRR.getRawData(), RawDataR);
630 
631     // LValue's and constants
632     APInt AddLK = One + 1;
633     EXPECT_EQ(AddLK, Two);
634 
635     APInt AddKL = 1 + One;
636     EXPECT_EQ(AddKL, Two);
637 
638     // RValue's and constants
639     APInt AddRK = getRValue("1", RawDataL) + 1;
640     EXPECT_EQ(AddRK, Two);
641     EXPECT_EQ(AddRK.getRawData(), RawDataL);
642 
643     APInt AddKR = 1 + getRValue("1", RawDataR);
644     EXPECT_EQ(AddKR, Two);
645     EXPECT_EQ(AddKR.getRawData(), RawDataR);
646   }
647 
648   {
649     // 0x0,FFFF...FFFF + 0x2 = 0x100...0001
650     APInt AllOnes(129, "0FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF", 16);
651     APInt HighOneLowOne(129, "100000000000000000000000000000001", 16);
652 
653     APInt AddLL = AllOnes + Two;
654     EXPECT_EQ(AddLL, HighOneLowOne);
655 
656     APInt AddLR = AllOnes + getRValue("2", RawDataR);
657     EXPECT_EQ(AddLR, HighOneLowOne);
658     EXPECT_EQ(AddLR.getRawData(), RawDataR);
659 
660     APInt AddRL = getRValue("FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF", RawDataL) + Two;
661     EXPECT_EQ(AddRL, HighOneLowOne);
662     EXPECT_EQ(AddRL.getRawData(), RawDataL);
663 
664     APInt AddRR = getRValue("FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF", RawDataL) +
665                   getRValue("2", RawDataR);
666     EXPECT_EQ(AddRR, HighOneLowOne);
667     EXPECT_EQ(AddRR.getRawData(), RawDataR);
668 
669     // LValue's and constants
670     APInt AddLK = AllOnes + 2;
671     EXPECT_EQ(AddLK, HighOneLowOne);
672 
673     APInt AddKL = 2 + AllOnes;
674     EXPECT_EQ(AddKL, HighOneLowOne);
675 
676     // RValue's and constants
677     APInt AddRK = getRValue("FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF", RawDataL) + 2;
678     EXPECT_EQ(AddRK, HighOneLowOne);
679     EXPECT_EQ(AddRK.getRawData(), RawDataL);
680 
681     APInt AddKR = 2 + getRValue("FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF", RawDataR);
682     EXPECT_EQ(AddKR, HighOneLowOne);
683     EXPECT_EQ(AddKR.getRawData(), RawDataR);
684   }
685 
686   {
687     // 2 - 1 = 1
688     APInt SubLL = Two - One;
689     EXPECT_EQ(SubLL, One);
690 
691     APInt SubLR = Two - getRValue("1", RawDataR);
692     EXPECT_EQ(SubLR, One);
693     EXPECT_EQ(SubLR.getRawData(), RawDataR);
694 
695     APInt SubRL = getRValue("2", RawDataL) - One;
696     EXPECT_EQ(SubRL, One);
697     EXPECT_EQ(SubRL.getRawData(), RawDataL);
698 
699     APInt SubRR = getRValue("2", RawDataL) - getRValue("1", RawDataR);
700     EXPECT_EQ(SubRR, One);
701     EXPECT_EQ(SubRR.getRawData(), RawDataR);
702 
703     // LValue's and constants
704     APInt SubLK = Two - 1;
705     EXPECT_EQ(SubLK, One);
706 
707     APInt SubKL = 2 - One;
708     EXPECT_EQ(SubKL, One);
709 
710     // RValue's and constants
711     APInt SubRK = getRValue("2", RawDataL) - 1;
712     EXPECT_EQ(SubRK, One);
713     EXPECT_EQ(SubRK.getRawData(), RawDataL);
714 
715     APInt SubKR = 2 - getRValue("1", RawDataR);
716     EXPECT_EQ(SubKR, One);
717     EXPECT_EQ(SubKR.getRawData(), RawDataR);
718   }
719 
720   {
721     // 0x100...0001 - 0x0,FFFF...FFFF = 0x2
722     APInt AllOnes(129, "0FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF", 16);
723     APInt HighOneLowOne(129, "100000000000000000000000000000001", 16);
724 
725     APInt SubLL = HighOneLowOne - AllOnes;
726     EXPECT_EQ(SubLL, Two);
727 
728     APInt SubLR = HighOneLowOne -
729                   getRValue("0FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF", RawDataR);
730     EXPECT_EQ(SubLR, Two);
731     EXPECT_EQ(SubLR.getRawData(), RawDataR);
732 
733     APInt SubRL = getRValue("100000000000000000000000000000001", RawDataL) -
734                   AllOnes;
735     EXPECT_EQ(SubRL, Two);
736     EXPECT_EQ(SubRL.getRawData(), RawDataL);
737 
738     APInt SubRR = getRValue("100000000000000000000000000000001", RawDataL) -
739                   getRValue("0FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF", RawDataR);
740     EXPECT_EQ(SubRR, Two);
741     EXPECT_EQ(SubRR.getRawData(), RawDataR);
742 
743     // LValue's and constants
744     // 0x100...0001 - 0x2 = 0x0,FFFF...FFFF
745     APInt SubLK = HighOneLowOne - 2;
746     EXPECT_EQ(SubLK, AllOnes);
747 
748     // 2 - (-1) = 3
749     APInt SubKL = 2 - MinusOne;
750     EXPECT_EQ(SubKL, Three);
751 
752     // RValue's and constants
753     // 0x100...0001 - 0x2 = 0x0,FFFF...FFFF
754     APInt SubRK = getRValue("100000000000000000000000000000001", RawDataL) - 2;
755     EXPECT_EQ(SubRK, AllOnes);
756     EXPECT_EQ(SubRK.getRawData(), RawDataL);
757 
758     APInt SubKR = 2 - getRValue("1FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF", RawDataR);
759     EXPECT_EQ(SubKR, Three);
760     EXPECT_EQ(SubKR.getRawData(), RawDataR);
761   }
762 }
763 
764 TEST(APIntTest, rvalue_bitwise) {
765   // Test all combinations of lvalue/rvalue lhs/rhs of and/or/xor
766 
767   // Lamdba to return an APInt by value, but also provide the raw value of the
768   // allocated data.
769   auto getRValue = [](const char *HexString, uint64_t const *&RawData) {
770     APInt V(129, HexString, 16);
771     RawData = V.getRawData();
772     return V;
773   };
774 
775   APInt Ten(129, "A", 16);
776   APInt Twelve(129, "C", 16);
777 
778   const uint64_t *RawDataL = nullptr;
779   const uint64_t *RawDataR = nullptr;
780 
781   {
782     // 12 & 10 = 8
783     APInt AndLL = Ten & Twelve;
784     EXPECT_EQ(AndLL, 0x8);
785 
786     APInt AndLR = Ten & getRValue("C", RawDataR);
787     EXPECT_EQ(AndLR, 0x8);
788     EXPECT_EQ(AndLR.getRawData(), RawDataR);
789 
790     APInt AndRL = getRValue("A", RawDataL) & Twelve;
791     EXPECT_EQ(AndRL, 0x8);
792     EXPECT_EQ(AndRL.getRawData(), RawDataL);
793 
794     APInt AndRR = getRValue("A", RawDataL) & getRValue("C", RawDataR);
795     EXPECT_EQ(AndRR, 0x8);
796     EXPECT_EQ(AndRR.getRawData(), RawDataR);
797 
798     // LValue's and constants
799     APInt AndLK = Ten & 0xc;
800     EXPECT_EQ(AndLK, 0x8);
801 
802     APInt AndKL = 0xa & Twelve;
803     EXPECT_EQ(AndKL, 0x8);
804 
805     // RValue's and constants
806     APInt AndRK = getRValue("A", RawDataL) & 0xc;
807     EXPECT_EQ(AndRK, 0x8);
808     EXPECT_EQ(AndRK.getRawData(), RawDataL);
809 
810     APInt AndKR = 0xa & getRValue("C", RawDataR);
811     EXPECT_EQ(AndKR, 0x8);
812     EXPECT_EQ(AndKR.getRawData(), RawDataR);
813   }
814 
815   {
816     // 12 | 10 = 14
817     APInt OrLL = Ten | Twelve;
818     EXPECT_EQ(OrLL, 0xe);
819 
820     APInt OrLR = Ten | getRValue("C", RawDataR);
821     EXPECT_EQ(OrLR, 0xe);
822     EXPECT_EQ(OrLR.getRawData(), RawDataR);
823 
824     APInt OrRL = getRValue("A", RawDataL) | Twelve;
825     EXPECT_EQ(OrRL, 0xe);
826     EXPECT_EQ(OrRL.getRawData(), RawDataL);
827 
828     APInt OrRR = getRValue("A", RawDataL) | getRValue("C", RawDataR);
829     EXPECT_EQ(OrRR, 0xe);
830     EXPECT_EQ(OrRR.getRawData(), RawDataR);
831 
832     // LValue's and constants
833     APInt OrLK = Ten | 0xc;
834     EXPECT_EQ(OrLK, 0xe);
835 
836     APInt OrKL = 0xa | Twelve;
837     EXPECT_EQ(OrKL, 0xe);
838 
839     // RValue's and constants
840     APInt OrRK = getRValue("A", RawDataL) | 0xc;
841     EXPECT_EQ(OrRK, 0xe);
842     EXPECT_EQ(OrRK.getRawData(), RawDataL);
843 
844     APInt OrKR = 0xa | getRValue("C", RawDataR);
845     EXPECT_EQ(OrKR, 0xe);
846     EXPECT_EQ(OrKR.getRawData(), RawDataR);
847   }
848 
849   {
850     // 12 ^ 10 = 6
851     APInt XorLL = Ten ^ Twelve;
852     EXPECT_EQ(XorLL, 0x6);
853 
854     APInt XorLR = Ten ^ getRValue("C", RawDataR);
855     EXPECT_EQ(XorLR, 0x6);
856     EXPECT_EQ(XorLR.getRawData(), RawDataR);
857 
858     APInt XorRL = getRValue("A", RawDataL) ^ Twelve;
859     EXPECT_EQ(XorRL, 0x6);
860     EXPECT_EQ(XorRL.getRawData(), RawDataL);
861 
862     APInt XorRR = getRValue("A", RawDataL) ^ getRValue("C", RawDataR);
863     EXPECT_EQ(XorRR, 0x6);
864     EXPECT_EQ(XorRR.getRawData(), RawDataR);
865 
866     // LValue's and constants
867     APInt XorLK = Ten ^ 0xc;
868     EXPECT_EQ(XorLK, 0x6);
869 
870     APInt XorKL = 0xa ^ Twelve;
871     EXPECT_EQ(XorKL, 0x6);
872 
873     // RValue's and constants
874     APInt XorRK = getRValue("A", RawDataL) ^ 0xc;
875     EXPECT_EQ(XorRK, 0x6);
876     EXPECT_EQ(XorRK.getRawData(), RawDataL);
877 
878     APInt XorKR = 0xa ^ getRValue("C", RawDataR);
879     EXPECT_EQ(XorKR, 0x6);
880     EXPECT_EQ(XorKR.getRawData(), RawDataR);
881   }
882 }
883 
884 TEST(APIntTest, rvalue_invert) {
885   // Lamdba to return an APInt by value, but also provide the raw value of the
886   // allocated data.
887   auto getRValue = [](const char *HexString, uint64_t const *&RawData) {
888     APInt V(129, HexString, 16);
889     RawData = V.getRawData();
890     return V;
891   };
892 
893   APInt One(129, 1);
894   APInt NegativeTwo(129, -2ULL, true);
895 
896   const uint64_t *RawData = nullptr;
897 
898   {
899     // ~1 = -2
900     APInt NegL = ~One;
901     EXPECT_EQ(NegL, NegativeTwo);
902 
903     APInt NegR = ~getRValue("1", RawData);
904     EXPECT_EQ(NegR, NegativeTwo);
905     EXPECT_EQ(NegR.getRawData(), RawData);
906   }
907 }
908 
909 // Tests different div/rem varaints using scheme (a * b + c) / a
910 void testDiv(APInt a, APInt b, APInt c) {
911   ASSERT_TRUE(a.uge(b)); // Must: a >= b
912   ASSERT_TRUE(a.ugt(c)); // Must: a > c
913 
914   auto p = a * b + c;
915 
916   auto q = p.udiv(a);
917   auto r = p.urem(a);
918   EXPECT_EQ(b, q);
919   EXPECT_EQ(c, r);
920   APInt::udivrem(p, a, q, r);
921   EXPECT_EQ(b, q);
922   EXPECT_EQ(c, r);
923   q = p.sdiv(a);
924   r = p.srem(a);
925   EXPECT_EQ(b, q);
926   EXPECT_EQ(c, r);
927   APInt::sdivrem(p, a, q, r);
928   EXPECT_EQ(b, q);
929   EXPECT_EQ(c, r);
930 
931   if (b.ugt(c)) { // Test also symmetric case
932     q = p.udiv(b);
933     r = p.urem(b);
934     EXPECT_EQ(a, q);
935     EXPECT_EQ(c, r);
936     APInt::udivrem(p, b, q, r);
937     EXPECT_EQ(a, q);
938     EXPECT_EQ(c, r);
939     q = p.sdiv(b);
940     r = p.srem(b);
941     EXPECT_EQ(a, q);
942     EXPECT_EQ(c, r);
943     APInt::sdivrem(p, b, q, r);
944     EXPECT_EQ(a, q);
945     EXPECT_EQ(c, r);
946   }
947 }
948 
949 TEST(APIntTest, divrem_big1) {
950   // Tests KnuthDiv rare step D6
951   testDiv({256, "1ffffffffffffffff", 16},
952           {256, "1ffffffffffffffff", 16},
953           {256, 0});
954 }
955 
956 TEST(APIntTest, divrem_big2) {
957   // Tests KnuthDiv rare step D6
958   testDiv({1024,                       "112233ceff"
959                  "cecece000000ffffffffffffffffffff"
960                  "ffffffffffffffffffffffffffffffff"
961                  "ffffffffffffffffffffffffffffffff"
962                  "ffffffffffffffffffffffffffffff33", 16},
963           {1024,           "111111ffffffffffffffff"
964                  "ffffffffffffffffffffffffffffffff"
965                  "fffffffffffffffffffffffffffffccf"
966                  "ffffffffffffffffffffffffffffff00", 16},
967           {1024, 7919});
968 }
969 
970 TEST(APIntTest, divrem_big3) {
971   // Tests KnuthDiv case without shift
972   testDiv({256, "80000001ffffffffffffffff", 16},
973           {256, "ffffffffffffff0000000", 16},
974           {256, 4219});
975 }
976 
977 TEST(APIntTest, divrem_big4) {
978   // Tests heap allocation in divide() enfoced by huge numbers
979   testDiv(APInt{4096, 5}.shl(2001),
980           APInt{4096, 1}.shl(2000),
981           APInt{4096, 4219*13});
982 }
983 
984 TEST(APIntTest, divrem_big5) {
985   // Tests one word divisor case of divide()
986   testDiv(APInt{1024, 19}.shl(811),
987           APInt{1024, 4356013}, // one word
988           APInt{1024, 1});
989 }
990 
991 TEST(APIntTest, divrem_big6) {
992   // Tests some rare "borrow" cases in D4 step
993   testDiv(APInt{512, "ffffffffffffffff00000000000000000000000001", 16},
994           APInt{512, "10000000000000001000000000000001", 16},
995           APInt{512, "10000000000000000000000000000000", 16});
996 }
997 
998 TEST(APIntTest, divrem_big7) {
999   // Yet another test for KnuthDiv rare step D6.
1000   testDiv({224, "800000008000000200000005", 16},
1001           {224, "fffffffd", 16},
1002           {224, "80000000800000010000000f", 16});
1003 }
1004 
1005 TEST(APIntTest, fromString) {
1006   EXPECT_EQ(APInt(32, 0), APInt(32,   "0", 2));
1007   EXPECT_EQ(APInt(32, 1), APInt(32,   "1", 2));
1008   EXPECT_EQ(APInt(32, 2), APInt(32,  "10", 2));
1009   EXPECT_EQ(APInt(32, 3), APInt(32,  "11", 2));
1010   EXPECT_EQ(APInt(32, 4), APInt(32, "100", 2));
1011 
1012   EXPECT_EQ(APInt(32, 0), APInt(32,   "+0", 2));
1013   EXPECT_EQ(APInt(32, 1), APInt(32,   "+1", 2));
1014   EXPECT_EQ(APInt(32, 2), APInt(32,  "+10", 2));
1015   EXPECT_EQ(APInt(32, 3), APInt(32,  "+11", 2));
1016   EXPECT_EQ(APInt(32, 4), APInt(32, "+100", 2));
1017 
1018   EXPECT_EQ(APInt(32, uint64_t(-0LL)), APInt(32,   "-0", 2));
1019   EXPECT_EQ(APInt(32, uint64_t(-1LL)), APInt(32,   "-1", 2));
1020   EXPECT_EQ(APInt(32, uint64_t(-2LL)), APInt(32,  "-10", 2));
1021   EXPECT_EQ(APInt(32, uint64_t(-3LL)), APInt(32,  "-11", 2));
1022   EXPECT_EQ(APInt(32, uint64_t(-4LL)), APInt(32, "-100", 2));
1023 
1024   EXPECT_EQ(APInt(32,  0), APInt(32,  "0",  8));
1025   EXPECT_EQ(APInt(32,  1), APInt(32,  "1",  8));
1026   EXPECT_EQ(APInt(32,  7), APInt(32,  "7",  8));
1027   EXPECT_EQ(APInt(32,  8), APInt(32,  "10", 8));
1028   EXPECT_EQ(APInt(32, 15), APInt(32,  "17", 8));
1029   EXPECT_EQ(APInt(32, 16), APInt(32,  "20", 8));
1030 
1031   EXPECT_EQ(APInt(32,  +0), APInt(32,  "+0",  8));
1032   EXPECT_EQ(APInt(32,  +1), APInt(32,  "+1",  8));
1033   EXPECT_EQ(APInt(32,  +7), APInt(32,  "+7",  8));
1034   EXPECT_EQ(APInt(32,  +8), APInt(32,  "+10", 8));
1035   EXPECT_EQ(APInt(32, +15), APInt(32,  "+17", 8));
1036   EXPECT_EQ(APInt(32, +16), APInt(32,  "+20", 8));
1037 
1038   EXPECT_EQ(APInt(32,  uint64_t(-0LL)), APInt(32,  "-0",  8));
1039   EXPECT_EQ(APInt(32,  uint64_t(-1LL)), APInt(32,  "-1",  8));
1040   EXPECT_EQ(APInt(32,  uint64_t(-7LL)), APInt(32,  "-7",  8));
1041   EXPECT_EQ(APInt(32,  uint64_t(-8LL)), APInt(32,  "-10", 8));
1042   EXPECT_EQ(APInt(32, uint64_t(-15LL)), APInt(32,  "-17", 8));
1043   EXPECT_EQ(APInt(32, uint64_t(-16LL)), APInt(32,  "-20", 8));
1044 
1045   EXPECT_EQ(APInt(32,  0), APInt(32,  "0", 10));
1046   EXPECT_EQ(APInt(32,  1), APInt(32,  "1", 10));
1047   EXPECT_EQ(APInt(32,  9), APInt(32,  "9", 10));
1048   EXPECT_EQ(APInt(32, 10), APInt(32, "10", 10));
1049   EXPECT_EQ(APInt(32, 19), APInt(32, "19", 10));
1050   EXPECT_EQ(APInt(32, 20), APInt(32, "20", 10));
1051 
1052   EXPECT_EQ(APInt(32,  uint64_t(-0LL)), APInt(32,  "-0", 10));
1053   EXPECT_EQ(APInt(32,  uint64_t(-1LL)), APInt(32,  "-1", 10));
1054   EXPECT_EQ(APInt(32,  uint64_t(-9LL)), APInt(32,  "-9", 10));
1055   EXPECT_EQ(APInt(32, uint64_t(-10LL)), APInt(32, "-10", 10));
1056   EXPECT_EQ(APInt(32, uint64_t(-19LL)), APInt(32, "-19", 10));
1057   EXPECT_EQ(APInt(32, uint64_t(-20LL)), APInt(32, "-20", 10));
1058 
1059   EXPECT_EQ(APInt(32,  0), APInt(32,  "0", 16));
1060   EXPECT_EQ(APInt(32,  1), APInt(32,  "1", 16));
1061   EXPECT_EQ(APInt(32, 15), APInt(32,  "F", 16));
1062   EXPECT_EQ(APInt(32, 16), APInt(32, "10", 16));
1063   EXPECT_EQ(APInt(32, 31), APInt(32, "1F", 16));
1064   EXPECT_EQ(APInt(32, 32), APInt(32, "20", 16));
1065 
1066   EXPECT_EQ(APInt(32,  uint64_t(-0LL)), APInt(32,  "-0", 16));
1067   EXPECT_EQ(APInt(32,  uint64_t(-1LL)), APInt(32,  "-1", 16));
1068   EXPECT_EQ(APInt(32, uint64_t(-15LL)), APInt(32,  "-F", 16));
1069   EXPECT_EQ(APInt(32, uint64_t(-16LL)), APInt(32, "-10", 16));
1070   EXPECT_EQ(APInt(32, uint64_t(-31LL)), APInt(32, "-1F", 16));
1071   EXPECT_EQ(APInt(32, uint64_t(-32LL)), APInt(32, "-20", 16));
1072 
1073   EXPECT_EQ(APInt(32,  0), APInt(32,  "0", 36));
1074   EXPECT_EQ(APInt(32,  1), APInt(32,  "1", 36));
1075   EXPECT_EQ(APInt(32, 35), APInt(32,  "Z", 36));
1076   EXPECT_EQ(APInt(32, 36), APInt(32, "10", 36));
1077   EXPECT_EQ(APInt(32, 71), APInt(32, "1Z", 36));
1078   EXPECT_EQ(APInt(32, 72), APInt(32, "20", 36));
1079 
1080   EXPECT_EQ(APInt(32,  uint64_t(-0LL)), APInt(32,  "-0", 36));
1081   EXPECT_EQ(APInt(32,  uint64_t(-1LL)), APInt(32,  "-1", 36));
1082   EXPECT_EQ(APInt(32, uint64_t(-35LL)), APInt(32,  "-Z", 36));
1083   EXPECT_EQ(APInt(32, uint64_t(-36LL)), APInt(32, "-10", 36));
1084   EXPECT_EQ(APInt(32, uint64_t(-71LL)), APInt(32, "-1Z", 36));
1085   EXPECT_EQ(APInt(32, uint64_t(-72LL)), APInt(32, "-20", 36));
1086 }
1087 
1088 TEST(APIntTest, FromArray) {
1089   EXPECT_EQ(APInt(32, uint64_t(1)), APInt(32, ArrayRef<uint64_t>(1)));
1090 }
1091 
1092 TEST(APIntTest, StringBitsNeeded2) {
1093   EXPECT_EQ(1U, APInt::getBitsNeeded(  "0", 2));
1094   EXPECT_EQ(1U, APInt::getBitsNeeded(  "1", 2));
1095   EXPECT_EQ(2U, APInt::getBitsNeeded( "10", 2));
1096   EXPECT_EQ(2U, APInt::getBitsNeeded( "11", 2));
1097   EXPECT_EQ(3U, APInt::getBitsNeeded("100", 2));
1098 
1099   EXPECT_EQ(1U, APInt::getBitsNeeded(  "+0", 2));
1100   EXPECT_EQ(1U, APInt::getBitsNeeded(  "+1", 2));
1101   EXPECT_EQ(2U, APInt::getBitsNeeded( "+10", 2));
1102   EXPECT_EQ(2U, APInt::getBitsNeeded( "+11", 2));
1103   EXPECT_EQ(3U, APInt::getBitsNeeded("+100", 2));
1104 
1105   EXPECT_EQ(2U, APInt::getBitsNeeded(  "-0", 2));
1106   EXPECT_EQ(2U, APInt::getBitsNeeded(  "-1", 2));
1107   EXPECT_EQ(3U, APInt::getBitsNeeded( "-10", 2));
1108   EXPECT_EQ(3U, APInt::getBitsNeeded( "-11", 2));
1109   EXPECT_EQ(4U, APInt::getBitsNeeded("-100", 2));
1110 }
1111 
1112 TEST(APIntTest, StringBitsNeeded8) {
1113   EXPECT_EQ(3U, APInt::getBitsNeeded( "0", 8));
1114   EXPECT_EQ(3U, APInt::getBitsNeeded( "7", 8));
1115   EXPECT_EQ(6U, APInt::getBitsNeeded("10", 8));
1116   EXPECT_EQ(6U, APInt::getBitsNeeded("17", 8));
1117   EXPECT_EQ(6U, APInt::getBitsNeeded("20", 8));
1118 
1119   EXPECT_EQ(3U, APInt::getBitsNeeded( "+0", 8));
1120   EXPECT_EQ(3U, APInt::getBitsNeeded( "+7", 8));
1121   EXPECT_EQ(6U, APInt::getBitsNeeded("+10", 8));
1122   EXPECT_EQ(6U, APInt::getBitsNeeded("+17", 8));
1123   EXPECT_EQ(6U, APInt::getBitsNeeded("+20", 8));
1124 
1125   EXPECT_EQ(4U, APInt::getBitsNeeded( "-0", 8));
1126   EXPECT_EQ(4U, APInt::getBitsNeeded( "-7", 8));
1127   EXPECT_EQ(7U, APInt::getBitsNeeded("-10", 8));
1128   EXPECT_EQ(7U, APInt::getBitsNeeded("-17", 8));
1129   EXPECT_EQ(7U, APInt::getBitsNeeded("-20", 8));
1130 }
1131 
1132 TEST(APIntTest, StringBitsNeeded10) {
1133   EXPECT_EQ(1U, APInt::getBitsNeeded( "0", 10));
1134   EXPECT_EQ(2U, APInt::getBitsNeeded( "3", 10));
1135   EXPECT_EQ(4U, APInt::getBitsNeeded( "9", 10));
1136   EXPECT_EQ(4U, APInt::getBitsNeeded("10", 10));
1137   EXPECT_EQ(5U, APInt::getBitsNeeded("19", 10));
1138   EXPECT_EQ(5U, APInt::getBitsNeeded("20", 10));
1139 
1140   EXPECT_EQ(1U, APInt::getBitsNeeded( "+0", 10));
1141   EXPECT_EQ(4U, APInt::getBitsNeeded( "+9", 10));
1142   EXPECT_EQ(4U, APInt::getBitsNeeded("+10", 10));
1143   EXPECT_EQ(5U, APInt::getBitsNeeded("+19", 10));
1144   EXPECT_EQ(5U, APInt::getBitsNeeded("+20", 10));
1145 
1146   EXPECT_EQ(2U, APInt::getBitsNeeded( "-0", 10));
1147   EXPECT_EQ(5U, APInt::getBitsNeeded( "-9", 10));
1148   EXPECT_EQ(5U, APInt::getBitsNeeded("-10", 10));
1149   EXPECT_EQ(6U, APInt::getBitsNeeded("-19", 10));
1150   EXPECT_EQ(6U, APInt::getBitsNeeded("-20", 10));
1151 }
1152 
1153 TEST(APIntTest, StringBitsNeeded16) {
1154   EXPECT_EQ(4U, APInt::getBitsNeeded( "0", 16));
1155   EXPECT_EQ(4U, APInt::getBitsNeeded( "F", 16));
1156   EXPECT_EQ(8U, APInt::getBitsNeeded("10", 16));
1157   EXPECT_EQ(8U, APInt::getBitsNeeded("1F", 16));
1158   EXPECT_EQ(8U, APInt::getBitsNeeded("20", 16));
1159 
1160   EXPECT_EQ(4U, APInt::getBitsNeeded( "+0", 16));
1161   EXPECT_EQ(4U, APInt::getBitsNeeded( "+F", 16));
1162   EXPECT_EQ(8U, APInt::getBitsNeeded("+10", 16));
1163   EXPECT_EQ(8U, APInt::getBitsNeeded("+1F", 16));
1164   EXPECT_EQ(8U, APInt::getBitsNeeded("+20", 16));
1165 
1166   EXPECT_EQ(5U, APInt::getBitsNeeded( "-0", 16));
1167   EXPECT_EQ(5U, APInt::getBitsNeeded( "-F", 16));
1168   EXPECT_EQ(9U, APInt::getBitsNeeded("-10", 16));
1169   EXPECT_EQ(9U, APInt::getBitsNeeded("-1F", 16));
1170   EXPECT_EQ(9U, APInt::getBitsNeeded("-20", 16));
1171 }
1172 
1173 TEST(APIntTest, toString) {
1174   SmallString<16> S;
1175   bool isSigned;
1176 
1177   APInt(8, 0).toString(S, 2, true, true);
1178   EXPECT_EQ(S.str().str(), "0b0");
1179   S.clear();
1180   APInt(8, 0).toString(S, 8, true, true);
1181   EXPECT_EQ(S.str().str(), "00");
1182   S.clear();
1183   APInt(8, 0).toString(S, 10, true, true);
1184   EXPECT_EQ(S.str().str(), "0");
1185   S.clear();
1186   APInt(8, 0).toString(S, 16, true, true);
1187   EXPECT_EQ(S.str().str(), "0x0");
1188   S.clear();
1189   APInt(8, 0).toString(S, 36, true, false);
1190   EXPECT_EQ(S.str().str(), "0");
1191   S.clear();
1192 
1193   isSigned = false;
1194   APInt(8, 255, isSigned).toString(S, 2, isSigned, true);
1195   EXPECT_EQ(S.str().str(), "0b11111111");
1196   S.clear();
1197   APInt(8, 255, isSigned).toString(S, 8, isSigned, true);
1198   EXPECT_EQ(S.str().str(), "0377");
1199   S.clear();
1200   APInt(8, 255, isSigned).toString(S, 10, isSigned, true);
1201   EXPECT_EQ(S.str().str(), "255");
1202   S.clear();
1203   APInt(8, 255, isSigned).toString(S, 16, isSigned, true);
1204   EXPECT_EQ(S.str().str(), "0xFF");
1205   S.clear();
1206   APInt(8, 255, isSigned).toString(S, 36, isSigned, false);
1207   EXPECT_EQ(S.str().str(), "73");
1208   S.clear();
1209 
1210   isSigned = true;
1211   APInt(8, 255, isSigned).toString(S, 2, isSigned, true);
1212   EXPECT_EQ(S.str().str(), "-0b1");
1213   S.clear();
1214   APInt(8, 255, isSigned).toString(S, 8, isSigned, true);
1215   EXPECT_EQ(S.str().str(), "-01");
1216   S.clear();
1217   APInt(8, 255, isSigned).toString(S, 10, isSigned, true);
1218   EXPECT_EQ(S.str().str(), "-1");
1219   S.clear();
1220   APInt(8, 255, isSigned).toString(S, 16, isSigned, true);
1221   EXPECT_EQ(S.str().str(), "-0x1");
1222   S.clear();
1223   APInt(8, 255, isSigned).toString(S, 36, isSigned, false);
1224   EXPECT_EQ(S.str().str(), "-1");
1225   S.clear();
1226 }
1227 
1228 TEST(APIntTest, Log2) {
1229   EXPECT_EQ(APInt(15, 7).logBase2(), 2U);
1230   EXPECT_EQ(APInt(15, 7).ceilLogBase2(), 3U);
1231   EXPECT_EQ(APInt(15, 7).exactLogBase2(), -1);
1232   EXPECT_EQ(APInt(15, 8).logBase2(), 3U);
1233   EXPECT_EQ(APInt(15, 8).ceilLogBase2(), 3U);
1234   EXPECT_EQ(APInt(15, 8).exactLogBase2(), 3);
1235   EXPECT_EQ(APInt(15, 9).logBase2(), 3U);
1236   EXPECT_EQ(APInt(15, 9).ceilLogBase2(), 4U);
1237   EXPECT_EQ(APInt(15, 9).exactLogBase2(), -1);
1238 }
1239 
1240 TEST(APIntTest, magic) {
1241   EXPECT_EQ(APInt(32, 3).magic().m, APInt(32, "55555556", 16));
1242   EXPECT_EQ(APInt(32, 3).magic().s, 0U);
1243   EXPECT_EQ(APInt(32, 5).magic().m, APInt(32, "66666667", 16));
1244   EXPECT_EQ(APInt(32, 5).magic().s, 1U);
1245   EXPECT_EQ(APInt(32, 7).magic().m, APInt(32, "92492493", 16));
1246   EXPECT_EQ(APInt(32, 7).magic().s, 2U);
1247 }
1248 
1249 TEST(APIntTest, magicu) {
1250   EXPECT_EQ(APInt(32, 3).magicu().m, APInt(32, "AAAAAAAB", 16));
1251   EXPECT_EQ(APInt(32, 3).magicu().s, 1U);
1252   EXPECT_EQ(APInt(32, 5).magicu().m, APInt(32, "CCCCCCCD", 16));
1253   EXPECT_EQ(APInt(32, 5).magicu().s, 2U);
1254   EXPECT_EQ(APInt(32, 7).magicu().m, APInt(32, "24924925", 16));
1255   EXPECT_EQ(APInt(32, 7).magicu().s, 3U);
1256   EXPECT_EQ(APInt(64, 25).magicu(1).m, APInt(64, "A3D70A3D70A3D70B", 16));
1257   EXPECT_EQ(APInt(64, 25).magicu(1).s, 4U);
1258 }
1259 
1260 #ifdef GTEST_HAS_DEATH_TEST
1261 #ifndef NDEBUG
1262 TEST(APIntTest, StringDeath) {
1263   EXPECT_DEATH(APInt(0, "", 0), "Bitwidth too small");
1264   EXPECT_DEATH(APInt(32, "", 0), "Invalid string length");
1265   EXPECT_DEATH(APInt(32, "0", 0), "Radix should be 2, 8, 10, 16, or 36!");
1266   EXPECT_DEATH(APInt(32, "", 10), "Invalid string length");
1267   EXPECT_DEATH(APInt(32, "-", 10), "String is only a sign, needs a value.");
1268   EXPECT_DEATH(APInt(1, "1234", 10), "Insufficient bit width");
1269   EXPECT_DEATH(APInt(32, "\0", 10), "Invalid string length");
1270   EXPECT_DEATH(APInt(32, StringRef("1\02", 3), 10), "Invalid character in digit string");
1271   EXPECT_DEATH(APInt(32, "1L", 10), "Invalid character in digit string");
1272 }
1273 #endif
1274 #endif
1275 
1276 TEST(APIntTest, mul_clear) {
1277   APInt ValA(65, -1ULL);
1278   APInt ValB(65, 4);
1279   APInt ValC(65, 0);
1280   ValC = ValA * ValB;
1281   ValA *= ValB;
1282   EXPECT_EQ(ValA.toString(10, false), ValC.toString(10, false));
1283 }
1284 
1285 TEST(APIntTest, Rotate) {
1286   EXPECT_EQ(APInt(8, 1),  APInt(8, 1).rotl(0));
1287   EXPECT_EQ(APInt(8, 2),  APInt(8, 1).rotl(1));
1288   EXPECT_EQ(APInt(8, 4),  APInt(8, 1).rotl(2));
1289   EXPECT_EQ(APInt(8, 16), APInt(8, 1).rotl(4));
1290   EXPECT_EQ(APInt(8, 1),  APInt(8, 1).rotl(8));
1291 
1292   EXPECT_EQ(APInt(8, 16), APInt(8, 16).rotl(0));
1293   EXPECT_EQ(APInt(8, 32), APInt(8, 16).rotl(1));
1294   EXPECT_EQ(APInt(8, 64), APInt(8, 16).rotl(2));
1295   EXPECT_EQ(APInt(8, 1),  APInt(8, 16).rotl(4));
1296   EXPECT_EQ(APInt(8, 16), APInt(8, 16).rotl(8));
1297 
1298   EXPECT_EQ(APInt(32, 2), APInt(32, 1).rotl(33));
1299   EXPECT_EQ(APInt(32, 2), APInt(32, 1).rotl(APInt(32, 33)));
1300 
1301   EXPECT_EQ(APInt(32, 2), APInt(32, 1).rotl(33));
1302   EXPECT_EQ(APInt(32, 2), APInt(32, 1).rotl(APInt(32, 33)));
1303   EXPECT_EQ(APInt(32, 2), APInt(32, 1).rotl(APInt(33, 33)));
1304   EXPECT_EQ(APInt(32, (1 << 8)), APInt(32, 1).rotl(APInt(32, 40)));
1305   EXPECT_EQ(APInt(32, (1 << 30)), APInt(32, 1).rotl(APInt(31, 30)));
1306   EXPECT_EQ(APInt(32, (1 << 31)), APInt(32, 1).rotl(APInt(31, 31)));
1307 
1308   EXPECT_EQ(APInt(32, 1), APInt(32, 1).rotl(APInt(1, 0)));
1309   EXPECT_EQ(APInt(32, 2), APInt(32, 1).rotl(APInt(1, 1)));
1310 
1311   EXPECT_EQ(APInt(32, 16), APInt(32, 1).rotl(APInt(3, 4)));
1312 
1313   EXPECT_EQ(APInt(32, 1), APInt(32, 1).rotl(APInt(64, 64)));
1314   EXPECT_EQ(APInt(32, 2), APInt(32, 1).rotl(APInt(64, 65)));
1315 
1316   EXPECT_EQ(APInt(7, 24), APInt(7, 3).rotl(APInt(7, 3)));
1317   EXPECT_EQ(APInt(7, 24), APInt(7, 3).rotl(APInt(7, 10)));
1318   EXPECT_EQ(APInt(7, 24), APInt(7, 3).rotl(APInt(5, 10)));
1319   EXPECT_EQ(APInt(7, 6), APInt(7, 3).rotl(APInt(12, 120)));
1320 
1321   EXPECT_EQ(APInt(8, 16), APInt(8, 16).rotr(0));
1322   EXPECT_EQ(APInt(8, 8),  APInt(8, 16).rotr(1));
1323   EXPECT_EQ(APInt(8, 4),  APInt(8, 16).rotr(2));
1324   EXPECT_EQ(APInt(8, 1),  APInt(8, 16).rotr(4));
1325   EXPECT_EQ(APInt(8, 16), APInt(8, 16).rotr(8));
1326 
1327   EXPECT_EQ(APInt(8, 1),   APInt(8, 1).rotr(0));
1328   EXPECT_EQ(APInt(8, 128), APInt(8, 1).rotr(1));
1329   EXPECT_EQ(APInt(8, 64),  APInt(8, 1).rotr(2));
1330   EXPECT_EQ(APInt(8, 16),  APInt(8, 1).rotr(4));
1331   EXPECT_EQ(APInt(8, 1),   APInt(8, 1).rotr(8));
1332 
1333   EXPECT_EQ(APInt(32, (1 << 31)), APInt(32, 1).rotr(33));
1334   EXPECT_EQ(APInt(32, (1 << 31)), APInt(32, 1).rotr(APInt(32, 33)));
1335 
1336   EXPECT_EQ(APInt(32, (1 << 31)), APInt(32, 1).rotr(33));
1337   EXPECT_EQ(APInt(32, (1 << 31)), APInt(32, 1).rotr(APInt(32, 33)));
1338   EXPECT_EQ(APInt(32, (1 << 31)), APInt(32, 1).rotr(APInt(33, 33)));
1339   EXPECT_EQ(APInt(32, (1 << 24)), APInt(32, 1).rotr(APInt(32, 40)));
1340 
1341   EXPECT_EQ(APInt(32, (1 << 2)), APInt(32, 1).rotr(APInt(31, 30)));
1342   EXPECT_EQ(APInt(32, (1 << 1)), APInt(32, 1).rotr(APInt(31, 31)));
1343 
1344   EXPECT_EQ(APInt(32, 1), APInt(32, 1).rotr(APInt(1, 0)));
1345   EXPECT_EQ(APInt(32, (1 << 31)), APInt(32, 1).rotr(APInt(1, 1)));
1346 
1347   EXPECT_EQ(APInt(32, (1 << 28)), APInt(32, 1).rotr(APInt(3, 4)));
1348 
1349   EXPECT_EQ(APInt(32, 1), APInt(32, 1).rotr(APInt(64, 64)));
1350   EXPECT_EQ(APInt(32, (1 << 31)), APInt(32, 1).rotr(APInt(64, 65)));
1351 
1352   EXPECT_EQ(APInt(7, 48), APInt(7, 3).rotr(APInt(7, 3)));
1353   EXPECT_EQ(APInt(7, 48), APInt(7, 3).rotr(APInt(7, 10)));
1354   EXPECT_EQ(APInt(7, 48), APInt(7, 3).rotr(APInt(5, 10)));
1355   EXPECT_EQ(APInt(7, 65), APInt(7, 3).rotr(APInt(12, 120)));
1356 
1357   APInt Big(256, "00004000800000000000000000003fff8000000000000003", 16);
1358   APInt Rot(256, "3fff80000000000000030000000000000000000040008000", 16);
1359   EXPECT_EQ(Rot, Big.rotr(144));
1360 
1361   EXPECT_EQ(APInt(32, 8), APInt(32, 1).rotl(Big));
1362   EXPECT_EQ(APInt(32, (1 << 29)), APInt(32, 1).rotr(Big));
1363 }
1364 
1365 TEST(APIntTest, Splat) {
1366   APInt ValA(8, 0x01);
1367   EXPECT_EQ(ValA, APInt::getSplat(8, ValA));
1368   EXPECT_EQ(APInt(64, 0x0101010101010101ULL), APInt::getSplat(64, ValA));
1369 
1370   APInt ValB(3, 5);
1371   EXPECT_EQ(APInt(4, 0xD), APInt::getSplat(4, ValB));
1372   EXPECT_EQ(APInt(15, 0xDB6D), APInt::getSplat(15, ValB));
1373 }
1374 
1375 TEST(APIntTest, tcDecrement) {
1376   // Test single word decrement.
1377 
1378   // No out borrow.
1379   {
1380     APInt::WordType singleWord = ~APInt::WordType(0) << (APInt::APINT_BITS_PER_WORD - 1);
1381     APInt::WordType carry = APInt::tcDecrement(&singleWord, 1);
1382     EXPECT_EQ(carry, APInt::WordType(0));
1383     EXPECT_EQ(singleWord, ~APInt::WordType(0) >> 1);
1384   }
1385 
1386   // With out borrow.
1387   {
1388     APInt::WordType singleWord = 0;
1389     APInt::WordType carry = APInt::tcDecrement(&singleWord, 1);
1390     EXPECT_EQ(carry, APInt::WordType(1));
1391     EXPECT_EQ(singleWord, ~APInt::WordType(0));
1392   }
1393 
1394   // Test multiword decrement.
1395 
1396   // No across word borrow, no out borrow.
1397   {
1398     APInt::WordType test[4] = {0x1, 0x1, 0x1, 0x1};
1399     APInt::WordType expected[4] = {0x0, 0x1, 0x1, 0x1};
1400     APInt::tcDecrement(test, 4);
1401     EXPECT_EQ(APInt::tcCompare(test, expected, 4), 0);
1402   }
1403 
1404   // 1 across word borrow, no out borrow.
1405   {
1406     APInt::WordType test[4] = {0x0, 0xF, 0x1, 0x1};
1407     APInt::WordType expected[4] = {~APInt::WordType(0), 0xE, 0x1, 0x1};
1408     APInt::WordType carry = APInt::tcDecrement(test, 4);
1409     EXPECT_EQ(carry, APInt::WordType(0));
1410     EXPECT_EQ(APInt::tcCompare(test, expected, 4), 0);
1411   }
1412 
1413   // 2 across word borrow, no out borrow.
1414   {
1415     APInt::WordType test[4] = {0x0, 0x0, 0xC, 0x1};
1416     APInt::WordType expected[4] = {~APInt::WordType(0), ~APInt::WordType(0), 0xB, 0x1};
1417     APInt::WordType carry = APInt::tcDecrement(test, 4);
1418     EXPECT_EQ(carry, APInt::WordType(0));
1419     EXPECT_EQ(APInt::tcCompare(test, expected, 4), 0);
1420   }
1421 
1422   // 3 across word borrow, no out borrow.
1423   {
1424     APInt::WordType test[4] = {0x0, 0x0, 0x0, 0x1};
1425     APInt::WordType expected[4] = {~APInt::WordType(0), ~APInt::WordType(0), ~APInt::WordType(0), 0x0};
1426     APInt::WordType carry = APInt::tcDecrement(test, 4);
1427     EXPECT_EQ(carry, APInt::WordType(0));
1428     EXPECT_EQ(APInt::tcCompare(test, expected, 4), 0);
1429   }
1430 
1431   // 3 across word borrow, with out borrow.
1432   {
1433     APInt::WordType test[4] = {0x0, 0x0, 0x0, 0x0};
1434     APInt::WordType expected[4] = {~APInt::WordType(0), ~APInt::WordType(0), ~APInt::WordType(0), ~APInt::WordType(0)};
1435     APInt::WordType carry = APInt::tcDecrement(test, 4);
1436     EXPECT_EQ(carry, APInt::WordType(1));
1437     EXPECT_EQ(APInt::tcCompare(test, expected, 4), 0);
1438   }
1439 }
1440 
1441 TEST(APIntTest, arrayAccess) {
1442   // Single word check.
1443   uint64_t E1 = 0x2CA7F46BF6569915ULL;
1444   APInt A1(64, E1);
1445   for (unsigned i = 0, e = 64; i < e; ++i) {
1446     EXPECT_EQ(bool(E1 & (1ULL << i)),
1447               A1[i]);
1448   }
1449 
1450   // Multiword check.
1451   APInt::WordType E2[4] = {
1452     0xEB6EB136591CBA21ULL,
1453     0x7B9358BD6A33F10AULL,
1454     0x7E7FFA5EADD8846ULL,
1455     0x305F341CA00B613DULL
1456   };
1457   APInt A2(APInt::APINT_BITS_PER_WORD*4, E2);
1458   for (unsigned i = 0; i < 4; ++i) {
1459     for (unsigned j = 0; j < APInt::APINT_BITS_PER_WORD; ++j) {
1460       EXPECT_EQ(bool(E2[i] & (1ULL << j)),
1461                 A2[i*APInt::APINT_BITS_PER_WORD + j]);
1462     }
1463   }
1464 }
1465 
1466 TEST(APIntTest, LargeAPIntConstruction) {
1467   // Check that we can properly construct very large APInt. It is very
1468   // unlikely that people will ever do this, but it is a legal input,
1469   // so we should not crash on it.
1470   APInt A9(UINT32_MAX, 0);
1471   EXPECT_FALSE(A9.getBoolValue());
1472 }
1473 
1474 TEST(APIntTest, nearestLogBase2) {
1475   // Single word check.
1476 
1477   // Test round up.
1478   uint64_t I1 = 0x1800001;
1479   APInt A1(64, I1);
1480   EXPECT_EQ(A1.nearestLogBase2(), A1.ceilLogBase2());
1481 
1482   // Test round down.
1483   uint64_t I2 = 0x1000011;
1484   APInt A2(64, I2);
1485   EXPECT_EQ(A2.nearestLogBase2(), A2.logBase2());
1486 
1487   // Test ties round up.
1488   uint64_t I3 = 0x1800000;
1489   APInt A3(64, I3);
1490   EXPECT_EQ(A3.nearestLogBase2(), A3.ceilLogBase2());
1491 
1492   // Multiple word check.
1493 
1494   // Test round up.
1495   APInt::WordType I4[4] = {0x0, 0xF, 0x18, 0x0};
1496   APInt A4(APInt::APINT_BITS_PER_WORD*4, I4);
1497   EXPECT_EQ(A4.nearestLogBase2(), A4.ceilLogBase2());
1498 
1499   // Test round down.
1500   APInt::WordType I5[4] = {0x0, 0xF, 0x10, 0x0};
1501   APInt A5(APInt::APINT_BITS_PER_WORD*4, I5);
1502   EXPECT_EQ(A5.nearestLogBase2(), A5.logBase2());
1503 
1504   // Test ties round up.
1505   uint64_t I6[4] = {0x0, 0x0, 0x0, 0x18};
1506   APInt A6(APInt::APINT_BITS_PER_WORD*4, I6);
1507   EXPECT_EQ(A6.nearestLogBase2(), A6.ceilLogBase2());
1508 
1509   // Test BitWidth == 1 special cases.
1510   APInt A7(1, 1);
1511   EXPECT_EQ(A7.nearestLogBase2(), 0ULL);
1512   APInt A8(1, 0);
1513   EXPECT_EQ(A8.nearestLogBase2(), UINT32_MAX);
1514 
1515   // Test the zero case when we have a bit width large enough such
1516   // that the bit width is larger than UINT32_MAX-1.
1517   APInt A9(UINT32_MAX, 0);
1518   EXPECT_EQ(A9.nearestLogBase2(), UINT32_MAX);
1519 }
1520 
1521 TEST(APIntTest, IsSplat) {
1522   APInt A(32, 0x01010101);
1523   EXPECT_FALSE(A.isSplat(1));
1524   EXPECT_FALSE(A.isSplat(2));
1525   EXPECT_FALSE(A.isSplat(4));
1526   EXPECT_TRUE(A.isSplat(8));
1527   EXPECT_TRUE(A.isSplat(16));
1528   EXPECT_TRUE(A.isSplat(32));
1529 
1530   APInt B(24, 0xAAAAAA);
1531   EXPECT_FALSE(B.isSplat(1));
1532   EXPECT_TRUE(B.isSplat(2));
1533   EXPECT_TRUE(B.isSplat(4));
1534   EXPECT_TRUE(B.isSplat(8));
1535   EXPECT_TRUE(B.isSplat(24));
1536 
1537   APInt C(24, 0xABAAAB);
1538   EXPECT_FALSE(C.isSplat(1));
1539   EXPECT_FALSE(C.isSplat(2));
1540   EXPECT_FALSE(C.isSplat(4));
1541   EXPECT_FALSE(C.isSplat(8));
1542   EXPECT_TRUE(C.isSplat(24));
1543 
1544   APInt D(32, 0xABBAABBA);
1545   EXPECT_FALSE(D.isSplat(1));
1546   EXPECT_FALSE(D.isSplat(2));
1547   EXPECT_FALSE(D.isSplat(4));
1548   EXPECT_FALSE(D.isSplat(8));
1549   EXPECT_TRUE(D.isSplat(16));
1550   EXPECT_TRUE(D.isSplat(32));
1551 
1552   APInt E(32, 0);
1553   EXPECT_TRUE(E.isSplat(1));
1554   EXPECT_TRUE(E.isSplat(2));
1555   EXPECT_TRUE(E.isSplat(4));
1556   EXPECT_TRUE(E.isSplat(8));
1557   EXPECT_TRUE(E.isSplat(16));
1558   EXPECT_TRUE(E.isSplat(32));
1559 }
1560 
1561 TEST(APIntTest, isMask) {
1562   EXPECT_FALSE(APInt(32, 0x01010101).isMask());
1563   EXPECT_FALSE(APInt(32, 0xf0000000).isMask());
1564   EXPECT_FALSE(APInt(32, 0xffff0000).isMask());
1565   EXPECT_FALSE(APInt(32, 0xff << 1).isMask());
1566 
1567   for (int N : { 1, 2, 3, 4, 7, 8, 16, 32, 64, 127, 128, 129, 256 }) {
1568     EXPECT_FALSE(APInt(N, 0).isMask());
1569 
1570     APInt One(N, 1);
1571     for (int I = 1; I <= N; ++I) {
1572       APInt MaskVal = One.shl(I) - 1;
1573       EXPECT_TRUE(MaskVal.isMask());
1574       EXPECT_TRUE(MaskVal.isMask(I));
1575     }
1576   }
1577 }
1578 
1579 TEST(APIntTest, isShiftedMask) {
1580   EXPECT_FALSE(APInt(32, 0x01010101).isShiftedMask());
1581   EXPECT_TRUE(APInt(32, 0xf0000000).isShiftedMask());
1582   EXPECT_TRUE(APInt(32, 0xffff0000).isShiftedMask());
1583   EXPECT_TRUE(APInt(32, 0xff << 1).isShiftedMask());
1584 
1585   for (int N : { 1, 2, 3, 4, 7, 8, 16, 32, 64, 127, 128, 129, 256 }) {
1586     EXPECT_FALSE(APInt(N, 0).isShiftedMask());
1587 
1588     APInt One(N, 1);
1589     for (int I = 1; I < N; ++I) {
1590       APInt MaskVal = One.shl(I) - 1;
1591       EXPECT_TRUE(MaskVal.isShiftedMask());
1592     }
1593     for (int I = 1; I < N - 1; ++I) {
1594       APInt MaskVal = One.shl(I);
1595       EXPECT_TRUE(MaskVal.isShiftedMask());
1596     }
1597     for (int I = 1; I < N; ++I) {
1598       APInt MaskVal = APInt::getHighBitsSet(N, I);
1599       EXPECT_TRUE(MaskVal.isShiftedMask());
1600     }
1601   }
1602 }
1603 
1604 TEST(APIntTest, reverseBits) {
1605   EXPECT_EQ(1, APInt(1, 1).reverseBits());
1606   EXPECT_EQ(0, APInt(1, 0).reverseBits());
1607 
1608   EXPECT_EQ(3, APInt(2, 3).reverseBits());
1609   EXPECT_EQ(3, APInt(2, 3).reverseBits());
1610 
1611   EXPECT_EQ(0xb, APInt(4, 0xd).reverseBits());
1612   EXPECT_EQ(0xd, APInt(4, 0xb).reverseBits());
1613   EXPECT_EQ(0xf, APInt(4, 0xf).reverseBits());
1614 
1615   EXPECT_EQ(0x30, APInt(7, 0x6).reverseBits());
1616   EXPECT_EQ(0x5a, APInt(7, 0x2d).reverseBits());
1617 
1618   EXPECT_EQ(0x0f, APInt(8, 0xf0).reverseBits());
1619   EXPECT_EQ(0xf0, APInt(8, 0x0f).reverseBits());
1620 
1621   EXPECT_EQ(0x0f0f, APInt(16, 0xf0f0).reverseBits());
1622   EXPECT_EQ(0xf0f0, APInt(16, 0x0f0f).reverseBits());
1623 
1624   EXPECT_EQ(0x0f0f0f0f, APInt(32, 0xf0f0f0f0).reverseBits());
1625   EXPECT_EQ(0xf0f0f0f0, APInt(32, 0x0f0f0f0f).reverseBits());
1626 
1627   EXPECT_EQ(0x402880a0 >> 1, APInt(31, 0x05011402).reverseBits());
1628 
1629   EXPECT_EQ(0x0f0f0f0f, APInt(32, 0xf0f0f0f0).reverseBits());
1630   EXPECT_EQ(0xf0f0f0f0, APInt(32, 0x0f0f0f0f).reverseBits());
1631 
1632   EXPECT_EQ(0x0f0f0f0f0f0f0f0f, APInt(64, 0xf0f0f0f0f0f0f0f0).reverseBits());
1633   EXPECT_EQ(0xf0f0f0f0f0f0f0f0, APInt(64, 0x0f0f0f0f0f0f0f0f).reverseBits());
1634 
1635   for (unsigned N : { 1, 8, 16, 24, 31, 32, 33,
1636                       63, 64, 65, 127, 128, 257, 1024 }) {
1637     for (unsigned I = 0; I < N; ++I) {
1638       APInt X = APInt::getOneBitSet(N, I);
1639       APInt Y = APInt::getOneBitSet(N, N - (I + 1));
1640       EXPECT_EQ(Y, X.reverseBits());
1641       EXPECT_EQ(X, Y.reverseBits());
1642     }
1643   }
1644 }
1645 
1646 TEST(APIntTest, insertBits) {
1647   APInt iSrc(31, 0x00123456);
1648 
1649   // Direct copy.
1650   APInt i31(31, 0x76543210ull);
1651   i31.insertBits(iSrc, 0);
1652   EXPECT_EQ(static_cast<int64_t>(0x00123456ull), i31.getSExtValue());
1653 
1654   // Single word src/dst insertion.
1655   APInt i63(63, 0x01234567FFFFFFFFull);
1656   i63.insertBits(iSrc, 4);
1657   EXPECT_EQ(static_cast<int64_t>(0x012345600123456Full), i63.getSExtValue());
1658 
1659   // Insert single word src into one word of dst.
1660   APInt i120(120, UINT64_MAX, true);
1661   i120.insertBits(iSrc, 8);
1662   EXPECT_EQ(static_cast<int64_t>(0xFFFFFF80123456FFull), i120.getSExtValue());
1663 
1664   // Insert single word src into two words of dst.
1665   APInt i127(127, UINT64_MAX, true);
1666   i127.insertBits(iSrc, 48);
1667   EXPECT_EQ(i127.extractBits(64, 0).getZExtValue(), 0x3456FFFFFFFFFFFFull);
1668   EXPECT_EQ(i127.extractBits(63, 64).getZExtValue(), 0x7FFFFFFFFFFF8012ull);
1669 
1670   // Insert on word boundaries.
1671   APInt i128(128, 0);
1672   i128.insertBits(APInt(64, UINT64_MAX, true), 0);
1673   i128.insertBits(APInt(64, UINT64_MAX, true), 64);
1674   EXPECT_EQ(-1, i128.getSExtValue());
1675 
1676   APInt i256(256, UINT64_MAX, true);
1677   i256.insertBits(APInt(65, 0), 0);
1678   i256.insertBits(APInt(69, 0), 64);
1679   i256.insertBits(APInt(128, 0), 128);
1680   EXPECT_EQ(0u, i256.getSExtValue());
1681 
1682   APInt i257(257, 0);
1683   i257.insertBits(APInt(96, UINT64_MAX, true), 64);
1684   EXPECT_EQ(i257.extractBits(64, 0).getZExtValue(), 0x0000000000000000ull);
1685   EXPECT_EQ(i257.extractBits(64, 64).getZExtValue(), 0xFFFFFFFFFFFFFFFFull);
1686   EXPECT_EQ(i257.extractBits(64, 128).getZExtValue(), 0x00000000FFFFFFFFull);
1687   EXPECT_EQ(i257.extractBits(65, 192).getZExtValue(), 0x0000000000000000ull);
1688 
1689   // General insertion.
1690   APInt i260(260, UINT64_MAX, true);
1691   i260.insertBits(APInt(129, 1ull << 48), 15);
1692   EXPECT_EQ(i260.extractBits(64, 0).getZExtValue(), 0x8000000000007FFFull);
1693   EXPECT_EQ(i260.extractBits(64, 64).getZExtValue(), 0x0000000000000000ull);
1694   EXPECT_EQ(i260.extractBits(64, 128).getZExtValue(), 0xFFFFFFFFFFFF0000ull);
1695   EXPECT_EQ(i260.extractBits(64, 192).getZExtValue(), 0xFFFFFFFFFFFFFFFFull);
1696   EXPECT_EQ(i260.extractBits(4, 256).getZExtValue(), 0x000000000000000Full);
1697 }
1698 
1699 TEST(APIntTest, extractBits) {
1700   APInt i32(32, 0x1234567);
1701   EXPECT_EQ(0x3456, i32.extractBits(16, 4));
1702 
1703   APInt i257(257, 0xFFFFFFFFFF0000FFull, true);
1704   EXPECT_EQ(0xFFu, i257.extractBits(16, 0));
1705   EXPECT_EQ((0xFFu >> 1), i257.extractBits(16, 1));
1706   EXPECT_EQ(-1, i257.extractBits(32, 64).getSExtValue());
1707   EXPECT_EQ(-1, i257.extractBits(128, 128).getSExtValue());
1708   EXPECT_EQ(-1, i257.extractBits(66, 191).getSExtValue());
1709   EXPECT_EQ(static_cast<int64_t>(0xFFFFFFFFFF80007Full),
1710             i257.extractBits(128, 1).getSExtValue());
1711   EXPECT_EQ(static_cast<int64_t>(0xFFFFFFFFFF80007Full),
1712             i257.extractBits(129, 1).getSExtValue());
1713 }
1714 
1715 TEST(APIntTest, getLowBitsSet) {
1716   APInt i128lo64 = APInt::getLowBitsSet(128, 64);
1717   EXPECT_EQ(0u, i128lo64.countLeadingOnes());
1718   EXPECT_EQ(64u, i128lo64.countLeadingZeros());
1719   EXPECT_EQ(64u, i128lo64.getActiveBits());
1720   EXPECT_EQ(0u, i128lo64.countTrailingZeros());
1721   EXPECT_EQ(64u, i128lo64.countTrailingOnes());
1722   EXPECT_EQ(64u, i128lo64.countPopulation());
1723 }
1724 
1725 TEST(APIntTest, getBitsSet) {
1726   APInt i64hi1lo1 = APInt::getBitsSet(64, 63, 1);
1727   EXPECT_EQ(1u, i64hi1lo1.countLeadingOnes());
1728   EXPECT_EQ(0u, i64hi1lo1.countLeadingZeros());
1729   EXPECT_EQ(64u, i64hi1lo1.getActiveBits());
1730   EXPECT_EQ(0u, i64hi1lo1.countTrailingZeros());
1731   EXPECT_EQ(1u, i64hi1lo1.countTrailingOnes());
1732   EXPECT_EQ(2u, i64hi1lo1.countPopulation());
1733 
1734   APInt i127hi1lo1 = APInt::getBitsSet(127, 126, 1);
1735   EXPECT_EQ(1u, i127hi1lo1.countLeadingOnes());
1736   EXPECT_EQ(0u, i127hi1lo1.countLeadingZeros());
1737   EXPECT_EQ(127u, i127hi1lo1.getActiveBits());
1738   EXPECT_EQ(0u, i127hi1lo1.countTrailingZeros());
1739   EXPECT_EQ(1u, i127hi1lo1.countTrailingOnes());
1740   EXPECT_EQ(2u, i127hi1lo1.countPopulation());
1741 }
1742 
1743 TEST(APIntTest, getHighBitsSet) {
1744   APInt i64hi32 = APInt::getHighBitsSet(64, 32);
1745   EXPECT_EQ(32u, i64hi32.countLeadingOnes());
1746   EXPECT_EQ(0u, i64hi32.countLeadingZeros());
1747   EXPECT_EQ(64u, i64hi32.getActiveBits());
1748   EXPECT_EQ(32u, i64hi32.countTrailingZeros());
1749   EXPECT_EQ(0u, i64hi32.countTrailingOnes());
1750   EXPECT_EQ(32u, i64hi32.countPopulation());
1751 }
1752 
1753 TEST(APIntTest, getBitsSetFrom) {
1754   APInt i64hi31 = APInt::getBitsSetFrom(64, 33);
1755   EXPECT_EQ(31u, i64hi31.countLeadingOnes());
1756   EXPECT_EQ(0u, i64hi31.countLeadingZeros());
1757   EXPECT_EQ(64u, i64hi31.getActiveBits());
1758   EXPECT_EQ(33u, i64hi31.countTrailingZeros());
1759   EXPECT_EQ(0u, i64hi31.countTrailingOnes());
1760   EXPECT_EQ(31u, i64hi31.countPopulation());
1761 }
1762 
1763 TEST(APIntTest, setLowBits) {
1764   APInt i64lo32(64, 0);
1765   i64lo32.setLowBits(32);
1766   EXPECT_EQ(0u, i64lo32.countLeadingOnes());
1767   EXPECT_EQ(32u, i64lo32.countLeadingZeros());
1768   EXPECT_EQ(32u, i64lo32.getActiveBits());
1769   EXPECT_EQ(0u, i64lo32.countTrailingZeros());
1770   EXPECT_EQ(32u, i64lo32.countTrailingOnes());
1771   EXPECT_EQ(32u, i64lo32.countPopulation());
1772 
1773   APInt i128lo64(128, 0);
1774   i128lo64.setLowBits(64);
1775   EXPECT_EQ(0u, i128lo64.countLeadingOnes());
1776   EXPECT_EQ(64u, i128lo64.countLeadingZeros());
1777   EXPECT_EQ(64u, i128lo64.getActiveBits());
1778   EXPECT_EQ(0u, i128lo64.countTrailingZeros());
1779   EXPECT_EQ(64u, i128lo64.countTrailingOnes());
1780   EXPECT_EQ(64u, i128lo64.countPopulation());
1781 
1782   APInt i128lo24(128, 0);
1783   i128lo24.setLowBits(24);
1784   EXPECT_EQ(0u, i128lo24.countLeadingOnes());
1785   EXPECT_EQ(104u, i128lo24.countLeadingZeros());
1786   EXPECT_EQ(24u, i128lo24.getActiveBits());
1787   EXPECT_EQ(0u, i128lo24.countTrailingZeros());
1788   EXPECT_EQ(24u, i128lo24.countTrailingOnes());
1789   EXPECT_EQ(24u, i128lo24.countPopulation());
1790 
1791   APInt i128lo104(128, 0);
1792   i128lo104.setLowBits(104);
1793   EXPECT_EQ(0u, i128lo104.countLeadingOnes());
1794   EXPECT_EQ(24u, i128lo104.countLeadingZeros());
1795   EXPECT_EQ(104u, i128lo104.getActiveBits());
1796   EXPECT_EQ(0u, i128lo104.countTrailingZeros());
1797   EXPECT_EQ(104u, i128lo104.countTrailingOnes());
1798   EXPECT_EQ(104u, i128lo104.countPopulation());
1799 
1800   APInt i128lo0(128, 0);
1801   i128lo0.setLowBits(0);
1802   EXPECT_EQ(0u, i128lo0.countLeadingOnes());
1803   EXPECT_EQ(128u, i128lo0.countLeadingZeros());
1804   EXPECT_EQ(0u, i128lo0.getActiveBits());
1805   EXPECT_EQ(128u, i128lo0.countTrailingZeros());
1806   EXPECT_EQ(0u, i128lo0.countTrailingOnes());
1807   EXPECT_EQ(0u, i128lo0.countPopulation());
1808 
1809   APInt i80lo79(80, 0);
1810   i80lo79.setLowBits(79);
1811   EXPECT_EQ(0u, i80lo79.countLeadingOnes());
1812   EXPECT_EQ(1u, i80lo79.countLeadingZeros());
1813   EXPECT_EQ(79u, i80lo79.getActiveBits());
1814   EXPECT_EQ(0u, i80lo79.countTrailingZeros());
1815   EXPECT_EQ(79u, i80lo79.countTrailingOnes());
1816   EXPECT_EQ(79u, i80lo79.countPopulation());
1817 }
1818 
1819 TEST(APIntTest, setHighBits) {
1820   APInt i64hi32(64, 0);
1821   i64hi32.setHighBits(32);
1822   EXPECT_EQ(32u, i64hi32.countLeadingOnes());
1823   EXPECT_EQ(0u, i64hi32.countLeadingZeros());
1824   EXPECT_EQ(64u, i64hi32.getActiveBits());
1825   EXPECT_EQ(32u, i64hi32.countTrailingZeros());
1826   EXPECT_EQ(0u, i64hi32.countTrailingOnes());
1827   EXPECT_EQ(32u, i64hi32.countPopulation());
1828 
1829   APInt i128hi64(128, 0);
1830   i128hi64.setHighBits(64);
1831   EXPECT_EQ(64u, i128hi64.countLeadingOnes());
1832   EXPECT_EQ(0u, i128hi64.countLeadingZeros());
1833   EXPECT_EQ(128u, i128hi64.getActiveBits());
1834   EXPECT_EQ(64u, i128hi64.countTrailingZeros());
1835   EXPECT_EQ(0u, i128hi64.countTrailingOnes());
1836   EXPECT_EQ(64u, i128hi64.countPopulation());
1837 
1838   APInt i128hi24(128, 0);
1839   i128hi24.setHighBits(24);
1840   EXPECT_EQ(24u, i128hi24.countLeadingOnes());
1841   EXPECT_EQ(0u, i128hi24.countLeadingZeros());
1842   EXPECT_EQ(128u, i128hi24.getActiveBits());
1843   EXPECT_EQ(104u, i128hi24.countTrailingZeros());
1844   EXPECT_EQ(0u, i128hi24.countTrailingOnes());
1845   EXPECT_EQ(24u, i128hi24.countPopulation());
1846 
1847   APInt i128hi104(128, 0);
1848   i128hi104.setHighBits(104);
1849   EXPECT_EQ(104u, i128hi104.countLeadingOnes());
1850   EXPECT_EQ(0u, i128hi104.countLeadingZeros());
1851   EXPECT_EQ(128u, i128hi104.getActiveBits());
1852   EXPECT_EQ(24u, i128hi104.countTrailingZeros());
1853   EXPECT_EQ(0u, i128hi104.countTrailingOnes());
1854   EXPECT_EQ(104u, i128hi104.countPopulation());
1855 
1856   APInt i128hi0(128, 0);
1857   i128hi0.setHighBits(0);
1858   EXPECT_EQ(0u, i128hi0.countLeadingOnes());
1859   EXPECT_EQ(128u, i128hi0.countLeadingZeros());
1860   EXPECT_EQ(0u, i128hi0.getActiveBits());
1861   EXPECT_EQ(128u, i128hi0.countTrailingZeros());
1862   EXPECT_EQ(0u, i128hi0.countTrailingOnes());
1863   EXPECT_EQ(0u, i128hi0.countPopulation());
1864 
1865   APInt i80hi1(80, 0);
1866   i80hi1.setHighBits(1);
1867   EXPECT_EQ(1u, i80hi1.countLeadingOnes());
1868   EXPECT_EQ(0u, i80hi1.countLeadingZeros());
1869   EXPECT_EQ(80u, i80hi1.getActiveBits());
1870   EXPECT_EQ(79u, i80hi1.countTrailingZeros());
1871   EXPECT_EQ(0u, i80hi1.countTrailingOnes());
1872   EXPECT_EQ(1u, i80hi1.countPopulation());
1873 
1874   APInt i32hi16(32, 0);
1875   i32hi16.setHighBits(16);
1876   EXPECT_EQ(16u, i32hi16.countLeadingOnes());
1877   EXPECT_EQ(0u, i32hi16.countLeadingZeros());
1878   EXPECT_EQ(32u, i32hi16.getActiveBits());
1879   EXPECT_EQ(16u, i32hi16.countTrailingZeros());
1880   EXPECT_EQ(0u, i32hi16.countTrailingOnes());
1881   EXPECT_EQ(16u, i32hi16.countPopulation());
1882 }
1883 
1884 TEST(APIntTest, setBitsFrom) {
1885   APInt i64from63(64, 0);
1886   i64from63.setBitsFrom(63);
1887   EXPECT_EQ(1u, i64from63.countLeadingOnes());
1888   EXPECT_EQ(0u, i64from63.countLeadingZeros());
1889   EXPECT_EQ(64u, i64from63.getActiveBits());
1890   EXPECT_EQ(63u, i64from63.countTrailingZeros());
1891   EXPECT_EQ(0u, i64from63.countTrailingOnes());
1892   EXPECT_EQ(1u, i64from63.countPopulation());
1893 }
1894 
1895 TEST(APIntTest, setAllBits) {
1896   APInt i32(32, 0);
1897   i32.setAllBits();
1898   EXPECT_EQ(32u, i32.countLeadingOnes());
1899   EXPECT_EQ(0u, i32.countLeadingZeros());
1900   EXPECT_EQ(32u, i32.getActiveBits());
1901   EXPECT_EQ(0u, i32.countTrailingZeros());
1902   EXPECT_EQ(32u, i32.countTrailingOnes());
1903   EXPECT_EQ(32u, i32.countPopulation());
1904 
1905   APInt i64(64, 0);
1906   i64.setAllBits();
1907   EXPECT_EQ(64u, i64.countLeadingOnes());
1908   EXPECT_EQ(0u, i64.countLeadingZeros());
1909   EXPECT_EQ(64u, i64.getActiveBits());
1910   EXPECT_EQ(0u, i64.countTrailingZeros());
1911   EXPECT_EQ(64u, i64.countTrailingOnes());
1912   EXPECT_EQ(64u, i64.countPopulation());
1913 
1914   APInt i96(96, 0);
1915   i96.setAllBits();
1916   EXPECT_EQ(96u, i96.countLeadingOnes());
1917   EXPECT_EQ(0u, i96.countLeadingZeros());
1918   EXPECT_EQ(96u, i96.getActiveBits());
1919   EXPECT_EQ(0u, i96.countTrailingZeros());
1920   EXPECT_EQ(96u, i96.countTrailingOnes());
1921   EXPECT_EQ(96u, i96.countPopulation());
1922 
1923   APInt i128(128, 0);
1924   i128.setAllBits();
1925   EXPECT_EQ(128u, i128.countLeadingOnes());
1926   EXPECT_EQ(0u, i128.countLeadingZeros());
1927   EXPECT_EQ(128u, i128.getActiveBits());
1928   EXPECT_EQ(0u, i128.countTrailingZeros());
1929   EXPECT_EQ(128u, i128.countTrailingOnes());
1930   EXPECT_EQ(128u, i128.countPopulation());
1931 }
1932 
1933 TEST(APIntTest, getLoBits) {
1934   APInt i32(32, 0xfa);
1935   i32.setHighBits(1);
1936   EXPECT_EQ(0xa, i32.getLoBits(4));
1937   APInt i128(128, 0xfa);
1938   i128.setHighBits(1);
1939   EXPECT_EQ(0xa, i128.getLoBits(4));
1940 }
1941 
1942 TEST(APIntTest, getHiBits) {
1943   APInt i32(32, 0xfa);
1944   i32.setHighBits(2);
1945   EXPECT_EQ(0xc, i32.getHiBits(4));
1946   APInt i128(128, 0xfa);
1947   i128.setHighBits(2);
1948   EXPECT_EQ(0xc, i128.getHiBits(4));
1949 }
1950 
1951 TEST(APIntTest, GCD) {
1952   using APIntOps::GreatestCommonDivisor;
1953 
1954   for (unsigned Bits : {1, 2, 32, 63, 64, 65}) {
1955     // Test some corner cases near zero.
1956     APInt Zero(Bits, 0), One(Bits, 1);
1957     EXPECT_EQ(GreatestCommonDivisor(Zero, Zero), Zero);
1958     EXPECT_EQ(GreatestCommonDivisor(Zero, One), One);
1959     EXPECT_EQ(GreatestCommonDivisor(One, Zero), One);
1960     EXPECT_EQ(GreatestCommonDivisor(One, One), One);
1961 
1962     if (Bits > 1) {
1963       APInt Two(Bits, 2);
1964       EXPECT_EQ(GreatestCommonDivisor(Zero, Two), Two);
1965       EXPECT_EQ(GreatestCommonDivisor(One, Two), One);
1966       EXPECT_EQ(GreatestCommonDivisor(Two, Two), Two);
1967 
1968       // Test some corner cases near the highest representable value.
1969       APInt Max(Bits, 0);
1970       Max.setAllBits();
1971       EXPECT_EQ(GreatestCommonDivisor(Zero, Max), Max);
1972       EXPECT_EQ(GreatestCommonDivisor(One, Max), One);
1973       EXPECT_EQ(GreatestCommonDivisor(Two, Max), One);
1974       EXPECT_EQ(GreatestCommonDivisor(Max, Max), Max);
1975 
1976       APInt MaxOver2 = Max.udiv(Two);
1977       EXPECT_EQ(GreatestCommonDivisor(MaxOver2, Max), One);
1978       // Max - 1 == Max / 2 * 2, because Max is odd.
1979       EXPECT_EQ(GreatestCommonDivisor(MaxOver2, Max - 1), MaxOver2);
1980     }
1981   }
1982 
1983   // Compute the 20th Mersenne prime.
1984   const unsigned BitWidth = 4450;
1985   APInt HugePrime = APInt::getLowBitsSet(BitWidth, 4423);
1986 
1987   // 9931 and 123456 are coprime.
1988   APInt A = HugePrime * APInt(BitWidth, 9931);
1989   APInt B = HugePrime * APInt(BitWidth, 123456);
1990   APInt C = GreatestCommonDivisor(A, B);
1991   EXPECT_EQ(C, HugePrime);
1992 }
1993 
1994 TEST(APIntTest, LogicalRightShift) {
1995   APInt i256(APInt::getHighBitsSet(256, 2));
1996 
1997   i256.lshrInPlace(1);
1998   EXPECT_EQ(1U, i256.countLeadingZeros());
1999   EXPECT_EQ(253U, i256.countTrailingZeros());
2000   EXPECT_EQ(2U, i256.countPopulation());
2001 
2002   i256.lshrInPlace(62);
2003   EXPECT_EQ(63U, i256.countLeadingZeros());
2004   EXPECT_EQ(191U, i256.countTrailingZeros());
2005   EXPECT_EQ(2U, i256.countPopulation());
2006 
2007   i256.lshrInPlace(65);
2008   EXPECT_EQ(128U, i256.countLeadingZeros());
2009   EXPECT_EQ(126U, i256.countTrailingZeros());
2010   EXPECT_EQ(2U, i256.countPopulation());
2011 
2012   i256.lshrInPlace(64);
2013   EXPECT_EQ(192U, i256.countLeadingZeros());
2014   EXPECT_EQ(62U, i256.countTrailingZeros());
2015   EXPECT_EQ(2U, i256.countPopulation());
2016 
2017   i256.lshrInPlace(63);
2018   EXPECT_EQ(255U, i256.countLeadingZeros());
2019   EXPECT_EQ(0U, i256.countTrailingZeros());
2020   EXPECT_EQ(1U, i256.countPopulation());
2021 
2022   // Ensure we handle large shifts of multi-word.
2023   const APInt neg_one(128, static_cast<uint64_t>(-1), true);
2024   EXPECT_EQ(0, neg_one.lshr(257));
2025 }
2026 
2027 TEST(APIntTest, LeftShift) {
2028   APInt i256(APInt::getLowBitsSet(256, 2));
2029 
2030   i256 <<= 1;
2031   EXPECT_EQ(253U, i256.countLeadingZeros());
2032   EXPECT_EQ(1U, i256.countTrailingZeros());
2033   EXPECT_EQ(2U, i256.countPopulation());
2034 
2035   i256 <<= 62;
2036   EXPECT_EQ(191U, i256.countLeadingZeros());
2037   EXPECT_EQ(63U, i256.countTrailingZeros());
2038   EXPECT_EQ(2U, i256.countPopulation());
2039 
2040   i256 <<= 65;
2041   EXPECT_EQ(126U, i256.countLeadingZeros());
2042   EXPECT_EQ(128U, i256.countTrailingZeros());
2043   EXPECT_EQ(2U, i256.countPopulation());
2044 
2045   i256 <<= 64;
2046   EXPECT_EQ(62U, i256.countLeadingZeros());
2047   EXPECT_EQ(192U, i256.countTrailingZeros());
2048   EXPECT_EQ(2U, i256.countPopulation());
2049 
2050   i256 <<= 63;
2051   EXPECT_EQ(0U, i256.countLeadingZeros());
2052   EXPECT_EQ(255U, i256.countTrailingZeros());
2053   EXPECT_EQ(1U, i256.countPopulation());
2054 
2055   // Ensure we handle large shifts of multi-word.
2056   const APInt neg_one(128, static_cast<uint64_t>(-1), true);
2057   EXPECT_EQ(0, neg_one.shl(257));
2058 }
2059 
2060 } // end anonymous namespace
2061