xref: /llvm-project/llvm/unittests/ADT/APIntTest.cpp (revision cc697fc292b0a405eaa42c6c8e5f117ba4f7d73b)
1 //===- llvm/unittest/ADT/APInt.cpp - APInt unit tests ---------------------===//
2 //
3 // Part of the LLVM Project, under the Apache License v2.0 with LLVM Exceptions.
4 // See https://llvm.org/LICENSE.txt for license information.
5 // SPDX-License-Identifier: Apache-2.0 WITH LLVM-exception
6 //
7 //===----------------------------------------------------------------------===//
8 
9 #include "llvm/ADT/APInt.h"
10 #include "llvm/ADT/ArrayRef.h"
11 #include "llvm/ADT/SmallString.h"
12 #include "llvm/ADT/Twine.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::getZero(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::getAllOnes(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(one, 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 void testDiv(APInt a, uint64_t b, APInt c) {
1006   auto p = a * b + c;
1007 
1008   APInt q;
1009   uint64_t r;
1010   // Unsigned division will only work if our original number wasn't negative.
1011   if (!a.isNegative()) {
1012     q = p.udiv(b);
1013     r = p.urem(b);
1014     EXPECT_EQ(a, q);
1015     EXPECT_EQ(c, r);
1016     APInt::udivrem(p, b, q, r);
1017     EXPECT_EQ(a, q);
1018     EXPECT_EQ(c, r);
1019   }
1020   q = p.sdiv(b);
1021   r = p.srem(b);
1022   EXPECT_EQ(a, q);
1023   if (c.isNegative())
1024     EXPECT_EQ(-c, -r); // Need to negate so the uint64_t compare will work.
1025   else
1026     EXPECT_EQ(c, r);
1027   int64_t sr;
1028   APInt::sdivrem(p, b, q, sr);
1029   EXPECT_EQ(a, q);
1030   if (c.isNegative())
1031     EXPECT_EQ(-c, -sr); // Need to negate so the uint64_t compare will work.
1032   else
1033     EXPECT_EQ(c, sr);
1034 }
1035 
1036 TEST(APIntTest, divremuint) {
1037   // Single word APInt
1038   testDiv(APInt{64, 9},
1039           2,
1040           APInt{64, 1});
1041 
1042   // Single word negative APInt
1043   testDiv(-APInt{64, 9},
1044           2,
1045           -APInt{64, 1});
1046 
1047   // Multiword dividend with only one significant word.
1048   testDiv(APInt{256, 9},
1049           2,
1050           APInt{256, 1});
1051 
1052   // Negative dividend.
1053   testDiv(-APInt{256, 9},
1054           2,
1055           -APInt{256, 1});
1056 
1057   // Multiword dividend
1058   testDiv(APInt{1024, 19}.shl(811),
1059           4356013, // one word
1060           APInt{1024, 1});
1061 }
1062 
1063 TEST(APIntTest, divrem_simple) {
1064   // Test simple cases.
1065   APInt A(65, 2), B(65, 2);
1066   APInt Q, R;
1067 
1068   // X / X
1069   APInt::sdivrem(A, B, Q, R);
1070   EXPECT_EQ(Q, APInt(65, 1));
1071   EXPECT_EQ(R, APInt(65, 0));
1072   APInt::udivrem(A, B, Q, R);
1073   EXPECT_EQ(Q, APInt(65, 1));
1074   EXPECT_EQ(R, APInt(65, 0));
1075 
1076   // 0 / X
1077   APInt O(65, 0);
1078   APInt::sdivrem(O, B, Q, R);
1079   EXPECT_EQ(Q, APInt(65, 0));
1080   EXPECT_EQ(R, APInt(65, 0));
1081   APInt::udivrem(O, B, Q, R);
1082   EXPECT_EQ(Q, APInt(65, 0));
1083   EXPECT_EQ(R, APInt(65, 0));
1084 
1085   // X / 1
1086   APInt I(65, 1);
1087   APInt::sdivrem(A, I, Q, R);
1088   EXPECT_EQ(Q, A);
1089   EXPECT_EQ(R, APInt(65, 0));
1090   APInt::udivrem(A, I, Q, R);
1091   EXPECT_EQ(Q, A);
1092   EXPECT_EQ(R, APInt(65, 0));
1093 }
1094 
1095 TEST(APIntTest, fromString) {
1096   EXPECT_EQ(APInt(32, 0), APInt(32,   "0", 2));
1097   EXPECT_EQ(APInt(32, 1), APInt(32,   "1", 2));
1098   EXPECT_EQ(APInt(32, 2), APInt(32,  "10", 2));
1099   EXPECT_EQ(APInt(32, 3), APInt(32,  "11", 2));
1100   EXPECT_EQ(APInt(32, 4), APInt(32, "100", 2));
1101 
1102   EXPECT_EQ(APInt(32, 0), APInt(32,   "+0", 2));
1103   EXPECT_EQ(APInt(32, 1), APInt(32,   "+1", 2));
1104   EXPECT_EQ(APInt(32, 2), APInt(32,  "+10", 2));
1105   EXPECT_EQ(APInt(32, 3), APInt(32,  "+11", 2));
1106   EXPECT_EQ(APInt(32, 4), APInt(32, "+100", 2));
1107 
1108   EXPECT_EQ(APInt(32, uint64_t(-0LL)), APInt(32,   "-0", 2));
1109   EXPECT_EQ(APInt(32, uint64_t(-1LL)), APInt(32,   "-1", 2));
1110   EXPECT_EQ(APInt(32, uint64_t(-2LL)), APInt(32,  "-10", 2));
1111   EXPECT_EQ(APInt(32, uint64_t(-3LL)), APInt(32,  "-11", 2));
1112   EXPECT_EQ(APInt(32, uint64_t(-4LL)), APInt(32, "-100", 2));
1113 
1114   EXPECT_EQ(APInt(32,  0), APInt(32,  "0",  8));
1115   EXPECT_EQ(APInt(32,  1), APInt(32,  "1",  8));
1116   EXPECT_EQ(APInt(32,  7), APInt(32,  "7",  8));
1117   EXPECT_EQ(APInt(32,  8), APInt(32,  "10", 8));
1118   EXPECT_EQ(APInt(32, 15), APInt(32,  "17", 8));
1119   EXPECT_EQ(APInt(32, 16), APInt(32,  "20", 8));
1120 
1121   EXPECT_EQ(APInt(32,  +0), APInt(32,  "+0",  8));
1122   EXPECT_EQ(APInt(32,  +1), APInt(32,  "+1",  8));
1123   EXPECT_EQ(APInt(32,  +7), APInt(32,  "+7",  8));
1124   EXPECT_EQ(APInt(32,  +8), APInt(32,  "+10", 8));
1125   EXPECT_EQ(APInt(32, +15), APInt(32,  "+17", 8));
1126   EXPECT_EQ(APInt(32, +16), APInt(32,  "+20", 8));
1127 
1128   EXPECT_EQ(APInt(32,  uint64_t(-0LL)), APInt(32,  "-0",  8));
1129   EXPECT_EQ(APInt(32,  uint64_t(-1LL)), APInt(32,  "-1",  8));
1130   EXPECT_EQ(APInt(32,  uint64_t(-7LL)), APInt(32,  "-7",  8));
1131   EXPECT_EQ(APInt(32,  uint64_t(-8LL)), APInt(32,  "-10", 8));
1132   EXPECT_EQ(APInt(32, uint64_t(-15LL)), APInt(32,  "-17", 8));
1133   EXPECT_EQ(APInt(32, uint64_t(-16LL)), APInt(32,  "-20", 8));
1134 
1135   EXPECT_EQ(APInt(32,  0), APInt(32,  "0", 10));
1136   EXPECT_EQ(APInt(32,  1), APInt(32,  "1", 10));
1137   EXPECT_EQ(APInt(32,  9), APInt(32,  "9", 10));
1138   EXPECT_EQ(APInt(32, 10), APInt(32, "10", 10));
1139   EXPECT_EQ(APInt(32, 19), APInt(32, "19", 10));
1140   EXPECT_EQ(APInt(32, 20), APInt(32, "20", 10));
1141 
1142   EXPECT_EQ(APInt(32,  uint64_t(-0LL)), APInt(32,  "-0", 10));
1143   EXPECT_EQ(APInt(32,  uint64_t(-1LL)), APInt(32,  "-1", 10));
1144   EXPECT_EQ(APInt(32,  uint64_t(-9LL)), APInt(32,  "-9", 10));
1145   EXPECT_EQ(APInt(32, uint64_t(-10LL)), APInt(32, "-10", 10));
1146   EXPECT_EQ(APInt(32, uint64_t(-19LL)), APInt(32, "-19", 10));
1147   EXPECT_EQ(APInt(32, uint64_t(-20LL)), APInt(32, "-20", 10));
1148 
1149   EXPECT_EQ(APInt(32,  0), APInt(32,  "0", 16));
1150   EXPECT_EQ(APInt(32,  1), APInt(32,  "1", 16));
1151   EXPECT_EQ(APInt(32, 15), APInt(32,  "F", 16));
1152   EXPECT_EQ(APInt(32, 16), APInt(32, "10", 16));
1153   EXPECT_EQ(APInt(32, 31), APInt(32, "1F", 16));
1154   EXPECT_EQ(APInt(32, 32), APInt(32, "20", 16));
1155 
1156   EXPECT_EQ(APInt(32,  uint64_t(-0LL)), APInt(32,  "-0", 16));
1157   EXPECT_EQ(APInt(32,  uint64_t(-1LL)), APInt(32,  "-1", 16));
1158   EXPECT_EQ(APInt(32, uint64_t(-15LL)), APInt(32,  "-F", 16));
1159   EXPECT_EQ(APInt(32, uint64_t(-16LL)), APInt(32, "-10", 16));
1160   EXPECT_EQ(APInt(32, uint64_t(-31LL)), APInt(32, "-1F", 16));
1161   EXPECT_EQ(APInt(32, uint64_t(-32LL)), APInt(32, "-20", 16));
1162 
1163   EXPECT_EQ(APInt(32,  0), APInt(32,  "0", 36));
1164   EXPECT_EQ(APInt(32,  1), APInt(32,  "1", 36));
1165   EXPECT_EQ(APInt(32, 35), APInt(32,  "Z", 36));
1166   EXPECT_EQ(APInt(32, 36), APInt(32, "10", 36));
1167   EXPECT_EQ(APInt(32, 71), APInt(32, "1Z", 36));
1168   EXPECT_EQ(APInt(32, 72), APInt(32, "20", 36));
1169 
1170   EXPECT_EQ(APInt(32,  uint64_t(-0LL)), APInt(32,  "-0", 36));
1171   EXPECT_EQ(APInt(32,  uint64_t(-1LL)), APInt(32,  "-1", 36));
1172   EXPECT_EQ(APInt(32, uint64_t(-35LL)), APInt(32,  "-Z", 36));
1173   EXPECT_EQ(APInt(32, uint64_t(-36LL)), APInt(32, "-10", 36));
1174   EXPECT_EQ(APInt(32, uint64_t(-71LL)), APInt(32, "-1Z", 36));
1175   EXPECT_EQ(APInt(32, uint64_t(-72LL)), APInt(32, "-20", 36));
1176 }
1177 
1178 TEST(APIntTest, SaturatingMath) {
1179   APInt AP_10 = APInt(8, 10);
1180   APInt AP_42 = APInt(8, 42);
1181   APInt AP_100 = APInt(8, 100);
1182   APInt AP_200 = APInt(8, 200);
1183 
1184   EXPECT_EQ(APInt(7, 100), AP_100.truncUSat(7));
1185   EXPECT_EQ(APInt(6, 63), AP_100.truncUSat(6));
1186   EXPECT_EQ(APInt(5, 31), AP_100.truncUSat(5));
1187 
1188   EXPECT_EQ(APInt(7, 127), AP_200.truncUSat(7));
1189   EXPECT_EQ(APInt(6, 63), AP_200.truncUSat(6));
1190   EXPECT_EQ(APInt(5, 31), AP_200.truncUSat(5));
1191 
1192   EXPECT_EQ(APInt(7, 42), AP_42.truncSSat(7));
1193   EXPECT_EQ(APInt(6, 31), AP_42.truncSSat(6));
1194   EXPECT_EQ(APInt(5, 15), AP_42.truncSSat(5));
1195 
1196   EXPECT_EQ(APInt(7, -56), AP_200.truncSSat(7));
1197   EXPECT_EQ(APInt(6, -32), AP_200.truncSSat(6));
1198   EXPECT_EQ(APInt(5, -16), AP_200.truncSSat(5));
1199 
1200   EXPECT_EQ(APInt(8, 200), AP_100.uadd_sat(AP_100));
1201   EXPECT_EQ(APInt(8, 255), AP_100.uadd_sat(AP_200));
1202   EXPECT_EQ(APInt(8, 255), APInt(8, 255).uadd_sat(APInt(8, 255)));
1203 
1204   EXPECT_EQ(APInt(8, 110), AP_10.sadd_sat(AP_100));
1205   EXPECT_EQ(APInt(8, 127), AP_100.sadd_sat(AP_100));
1206   EXPECT_EQ(APInt(8, -128), (-AP_100).sadd_sat(-AP_100));
1207   EXPECT_EQ(APInt(8, -128), APInt(8, -128).sadd_sat(APInt(8, -128)));
1208 
1209   EXPECT_EQ(APInt(8, 90), AP_100.usub_sat(AP_10));
1210   EXPECT_EQ(APInt(8, 0), AP_100.usub_sat(AP_200));
1211   EXPECT_EQ(APInt(8, 0), APInt(8, 0).usub_sat(APInt(8, 255)));
1212 
1213   EXPECT_EQ(APInt(8, -90), AP_10.ssub_sat(AP_100));
1214   EXPECT_EQ(APInt(8, 127), AP_100.ssub_sat(-AP_100));
1215   EXPECT_EQ(APInt(8, -128), (-AP_100).ssub_sat(AP_100));
1216   EXPECT_EQ(APInt(8, -128), APInt(8, -128).ssub_sat(APInt(8, 127)));
1217 
1218   EXPECT_EQ(APInt(8, 250), APInt(8, 50).umul_sat(APInt(8, 5)));
1219   EXPECT_EQ(APInt(8, 255), APInt(8, 50).umul_sat(APInt(8, 6)));
1220   EXPECT_EQ(APInt(8, 255), APInt(8, -128).umul_sat(APInt(8, 3)));
1221   EXPECT_EQ(APInt(8, 255), APInt(8, 3).umul_sat(APInt(8, -128)));
1222   EXPECT_EQ(APInt(8, 255), APInt(8, -128).umul_sat(APInt(8, -128)));
1223 
1224   EXPECT_EQ(APInt(8, 125), APInt(8, 25).smul_sat(APInt(8, 5)));
1225   EXPECT_EQ(APInt(8, 127), APInt(8, 25).smul_sat(APInt(8, 6)));
1226   EXPECT_EQ(APInt(8, 127), APInt(8, 127).smul_sat(APInt(8, 127)));
1227   EXPECT_EQ(APInt(8, -125), APInt(8, -25).smul_sat(APInt(8, 5)));
1228   EXPECT_EQ(APInt(8, -125), APInt(8, 25).smul_sat(APInt(8, -5)));
1229   EXPECT_EQ(APInt(8, 125), APInt(8, -25).smul_sat(APInt(8, -5)));
1230   EXPECT_EQ(APInt(8, 125), APInt(8, 25).smul_sat(APInt(8, 5)));
1231   EXPECT_EQ(APInt(8, -128), APInt(8, -25).smul_sat(APInt(8, 6)));
1232   EXPECT_EQ(APInt(8, -128), APInt(8, 25).smul_sat(APInt(8, -6)));
1233   EXPECT_EQ(APInt(8, 127), APInt(8, -25).smul_sat(APInt(8, -6)));
1234   EXPECT_EQ(APInt(8, 127), APInt(8, 25).smul_sat(APInt(8, 6)));
1235 
1236   EXPECT_EQ(APInt(8, 128), APInt(8, 4).ushl_sat(APInt(8, 5)));
1237   EXPECT_EQ(APInt(8, 255), APInt(8, 4).ushl_sat(APInt(8, 6)));
1238   EXPECT_EQ(APInt(8, 128), APInt(8, 1).ushl_sat(APInt(8, 7)));
1239   EXPECT_EQ(APInt(8, 255), APInt(8, 1).ushl_sat(APInt(8, 8)));
1240   EXPECT_EQ(APInt(8, 255), APInt(8, -128).ushl_sat(APInt(8, 2)));
1241   EXPECT_EQ(APInt(8, 255), APInt(8, 64).ushl_sat(APInt(8, 2)));
1242   EXPECT_EQ(APInt(8, 255), APInt(8, 64).ushl_sat(APInt(8, -2)));
1243 
1244   EXPECT_EQ(APInt(8, 64), APInt(8, 4).sshl_sat(APInt(8, 4)));
1245   EXPECT_EQ(APInt(8, 127), APInt(8, 4).sshl_sat(APInt(8, 5)));
1246   EXPECT_EQ(APInt(8, 127), APInt(8, 1).sshl_sat(APInt(8, 8)));
1247   EXPECT_EQ(APInt(8, -64), APInt(8, -4).sshl_sat(APInt(8, 4)));
1248   EXPECT_EQ(APInt(8, -128), APInt(8, -4).sshl_sat(APInt(8, 5)));
1249   EXPECT_EQ(APInt(8, -128), APInt(8, -4).sshl_sat(APInt(8, 6)));
1250   EXPECT_EQ(APInt(8, -128), APInt(8, -1).sshl_sat(APInt(8, 7)));
1251   EXPECT_EQ(APInt(8, -128), APInt(8, -1).sshl_sat(APInt(8, 8)));
1252 }
1253 
1254 TEST(APIntTest, FromArray) {
1255   EXPECT_EQ(APInt(32, uint64_t(1)), APInt(32, ArrayRef<uint64_t>(1)));
1256 }
1257 
1258 TEST(APIntTest, StringBitsNeeded2) {
1259   EXPECT_EQ(1U, APInt::getBitsNeeded(  "0", 2));
1260   EXPECT_EQ(1U, APInt::getBitsNeeded(  "1", 2));
1261   EXPECT_EQ(2U, APInt::getBitsNeeded( "10", 2));
1262   EXPECT_EQ(2U, APInt::getBitsNeeded( "11", 2));
1263   EXPECT_EQ(3U, APInt::getBitsNeeded("100", 2));
1264 
1265   EXPECT_EQ(1U, APInt::getBitsNeeded(  "+0", 2));
1266   EXPECT_EQ(1U, APInt::getBitsNeeded(  "+1", 2));
1267   EXPECT_EQ(2U, APInt::getBitsNeeded( "+10", 2));
1268   EXPECT_EQ(2U, APInt::getBitsNeeded( "+11", 2));
1269   EXPECT_EQ(3U, APInt::getBitsNeeded("+100", 2));
1270 
1271   EXPECT_EQ(2U, APInt::getBitsNeeded(  "-0", 2));
1272   EXPECT_EQ(2U, APInt::getBitsNeeded(  "-1", 2));
1273   EXPECT_EQ(3U, APInt::getBitsNeeded( "-10", 2));
1274   EXPECT_EQ(3U, APInt::getBitsNeeded( "-11", 2));
1275   EXPECT_EQ(4U, APInt::getBitsNeeded("-100", 2));
1276 }
1277 
1278 TEST(APIntTest, StringBitsNeeded8) {
1279   EXPECT_EQ(3U, APInt::getBitsNeeded( "0", 8));
1280   EXPECT_EQ(3U, APInt::getBitsNeeded( "7", 8));
1281   EXPECT_EQ(6U, APInt::getBitsNeeded("10", 8));
1282   EXPECT_EQ(6U, APInt::getBitsNeeded("17", 8));
1283   EXPECT_EQ(6U, APInt::getBitsNeeded("20", 8));
1284 
1285   EXPECT_EQ(3U, APInt::getBitsNeeded( "+0", 8));
1286   EXPECT_EQ(3U, APInt::getBitsNeeded( "+7", 8));
1287   EXPECT_EQ(6U, APInt::getBitsNeeded("+10", 8));
1288   EXPECT_EQ(6U, APInt::getBitsNeeded("+17", 8));
1289   EXPECT_EQ(6U, APInt::getBitsNeeded("+20", 8));
1290 
1291   EXPECT_EQ(4U, APInt::getBitsNeeded( "-0", 8));
1292   EXPECT_EQ(4U, APInt::getBitsNeeded( "-7", 8));
1293   EXPECT_EQ(7U, APInt::getBitsNeeded("-10", 8));
1294   EXPECT_EQ(7U, APInt::getBitsNeeded("-17", 8));
1295   EXPECT_EQ(7U, APInt::getBitsNeeded("-20", 8));
1296 }
1297 
1298 TEST(APIntTest, StringBitsNeeded10) {
1299   EXPECT_EQ(1U, APInt::getBitsNeeded( "0", 10));
1300   EXPECT_EQ(2U, APInt::getBitsNeeded( "3", 10));
1301   EXPECT_EQ(4U, APInt::getBitsNeeded( "9", 10));
1302   EXPECT_EQ(4U, APInt::getBitsNeeded("10", 10));
1303   EXPECT_EQ(5U, APInt::getBitsNeeded("19", 10));
1304   EXPECT_EQ(5U, APInt::getBitsNeeded("20", 10));
1305 
1306   EXPECT_EQ(1U, APInt::getBitsNeeded( "+0", 10));
1307   EXPECT_EQ(4U, APInt::getBitsNeeded( "+9", 10));
1308   EXPECT_EQ(4U, APInt::getBitsNeeded("+10", 10));
1309   EXPECT_EQ(5U, APInt::getBitsNeeded("+19", 10));
1310   EXPECT_EQ(5U, APInt::getBitsNeeded("+20", 10));
1311 
1312   EXPECT_EQ(2U, APInt::getBitsNeeded( "-0", 10));
1313   EXPECT_EQ(5U, APInt::getBitsNeeded( "-9", 10));
1314   EXPECT_EQ(5U, APInt::getBitsNeeded("-10", 10));
1315   EXPECT_EQ(6U, APInt::getBitsNeeded("-19", 10));
1316   EXPECT_EQ(6U, APInt::getBitsNeeded("-20", 10));
1317 
1318   EXPECT_EQ(1U, APInt::getBitsNeeded("-1", 10));
1319   EXPECT_EQ(2U, APInt::getBitsNeeded("-2", 10));
1320   EXPECT_EQ(3U, APInt::getBitsNeeded("-4", 10));
1321   EXPECT_EQ(4U, APInt::getBitsNeeded("-8", 10));
1322   EXPECT_EQ(5U, APInt::getBitsNeeded("-16", 10));
1323   EXPECT_EQ(6U, APInt::getBitsNeeded("-23", 10));
1324   EXPECT_EQ(6U, APInt::getBitsNeeded("-32", 10));
1325   EXPECT_EQ(7U, APInt::getBitsNeeded("-64", 10));
1326   EXPECT_EQ(8U, APInt::getBitsNeeded("-127", 10));
1327   EXPECT_EQ(8U, APInt::getBitsNeeded("-128", 10));
1328   EXPECT_EQ(9U, APInt::getBitsNeeded("-255", 10));
1329   EXPECT_EQ(9U, APInt::getBitsNeeded("-256", 10));
1330   EXPECT_EQ(10U, APInt::getBitsNeeded("-512", 10));
1331   EXPECT_EQ(11U, APInt::getBitsNeeded("-1024", 10));
1332   EXPECT_EQ(12U, APInt::getBitsNeeded("-1025", 10));
1333 }
1334 
1335 TEST(APIntTest, StringBitsNeeded16) {
1336   EXPECT_EQ(4U, APInt::getBitsNeeded( "0", 16));
1337   EXPECT_EQ(4U, APInt::getBitsNeeded( "F", 16));
1338   EXPECT_EQ(8U, APInt::getBitsNeeded("10", 16));
1339   EXPECT_EQ(8U, APInt::getBitsNeeded("1F", 16));
1340   EXPECT_EQ(8U, APInt::getBitsNeeded("20", 16));
1341 
1342   EXPECT_EQ(4U, APInt::getBitsNeeded( "+0", 16));
1343   EXPECT_EQ(4U, APInt::getBitsNeeded( "+F", 16));
1344   EXPECT_EQ(8U, APInt::getBitsNeeded("+10", 16));
1345   EXPECT_EQ(8U, APInt::getBitsNeeded("+1F", 16));
1346   EXPECT_EQ(8U, APInt::getBitsNeeded("+20", 16));
1347 
1348   EXPECT_EQ(5U, APInt::getBitsNeeded( "-0", 16));
1349   EXPECT_EQ(5U, APInt::getBitsNeeded( "-F", 16));
1350   EXPECT_EQ(9U, APInt::getBitsNeeded("-10", 16));
1351   EXPECT_EQ(9U, APInt::getBitsNeeded("-1F", 16));
1352   EXPECT_EQ(9U, APInt::getBitsNeeded("-20", 16));
1353 }
1354 
1355 TEST(APIntTest, toString) {
1356   SmallString<16> S;
1357   bool isSigned;
1358 
1359   APInt(8, 0).toString(S, 2, true, true);
1360   EXPECT_EQ(std::string(S), "0b0");
1361   S.clear();
1362   APInt(8, 0).toString(S, 8, true, true);
1363   EXPECT_EQ(std::string(S), "00");
1364   S.clear();
1365   APInt(8, 0).toString(S, 10, true, true);
1366   EXPECT_EQ(std::string(S), "0");
1367   S.clear();
1368   APInt(8, 0).toString(S, 16, true, true);
1369   EXPECT_EQ(std::string(S), "0x0");
1370   S.clear();
1371   APInt(8, 0).toString(S, 36, true, false);
1372   EXPECT_EQ(std::string(S), "0");
1373   S.clear();
1374 
1375   isSigned = false;
1376   APInt(8, 255, isSigned).toString(S, 2, isSigned, true);
1377   EXPECT_EQ(std::string(S), "0b11111111");
1378   S.clear();
1379   APInt(8, 255, isSigned).toString(S, 8, isSigned, true);
1380   EXPECT_EQ(std::string(S), "0377");
1381   S.clear();
1382   APInt(8, 255, isSigned).toString(S, 10, isSigned, true);
1383   EXPECT_EQ(std::string(S), "255");
1384   S.clear();
1385   APInt(8, 255, isSigned).toString(S, 16, isSigned, true);
1386   EXPECT_EQ(std::string(S), "0xFF");
1387   S.clear();
1388   APInt(8, 255, isSigned).toString(S, 36, isSigned, false);
1389   EXPECT_EQ(std::string(S), "73");
1390   S.clear();
1391 
1392   isSigned = true;
1393   APInt(8, 255, isSigned).toString(S, 2, isSigned, true);
1394   EXPECT_EQ(std::string(S), "-0b1");
1395   S.clear();
1396   APInt(8, 255, isSigned).toString(S, 8, isSigned, true);
1397   EXPECT_EQ(std::string(S), "-01");
1398   S.clear();
1399   APInt(8, 255, isSigned).toString(S, 10, isSigned, true);
1400   EXPECT_EQ(std::string(S), "-1");
1401   S.clear();
1402   APInt(8, 255, isSigned).toString(S, 16, isSigned, true);
1403   EXPECT_EQ(std::string(S), "-0x1");
1404   S.clear();
1405   APInt(8, 255, isSigned).toString(S, 36, isSigned, false);
1406   EXPECT_EQ(std::string(S), "-1");
1407   S.clear();
1408 }
1409 
1410 TEST(APIntTest, Log2) {
1411   EXPECT_EQ(APInt(15, 7).logBase2(), 2U);
1412   EXPECT_EQ(APInt(15, 7).ceilLogBase2(), 3U);
1413   EXPECT_EQ(APInt(15, 7).exactLogBase2(), -1);
1414   EXPECT_EQ(APInt(15, 8).logBase2(), 3U);
1415   EXPECT_EQ(APInt(15, 8).ceilLogBase2(), 3U);
1416   EXPECT_EQ(APInt(15, 8).exactLogBase2(), 3);
1417   EXPECT_EQ(APInt(15, 9).logBase2(), 3U);
1418   EXPECT_EQ(APInt(15, 9).ceilLogBase2(), 4U);
1419   EXPECT_EQ(APInt(15, 9).exactLogBase2(), -1);
1420 }
1421 
1422 #ifdef GTEST_HAS_DEATH_TEST
1423 #ifndef NDEBUG
1424 TEST(APIntTest, StringDeath) {
1425   EXPECT_DEATH((void)APInt(32, "", 0), "Invalid string length");
1426   EXPECT_DEATH((void)APInt(32, "0", 0), "Radix should be 2, 8, 10, 16, or 36!");
1427   EXPECT_DEATH((void)APInt(32, "", 10), "Invalid string length");
1428   EXPECT_DEATH((void)APInt(32, "-", 10), "String is only a sign, needs a value.");
1429   EXPECT_DEATH((void)APInt(1, "1234", 10), "Insufficient bit width");
1430   EXPECT_DEATH((void)APInt(32, "\0", 10), "Invalid string length");
1431   EXPECT_DEATH((void)APInt(32, StringRef("1\02", 3), 10), "Invalid character in digit string");
1432   EXPECT_DEATH((void)APInt(32, "1L", 10), "Invalid character in digit string");
1433 }
1434 #endif
1435 #endif
1436 
1437 TEST(APIntTest, mul_clear) {
1438   APInt ValA(65, -1ULL);
1439   APInt ValB(65, 4);
1440   APInt ValC(65, 0);
1441   ValC = ValA * ValB;
1442   ValA *= ValB;
1443   SmallString<16> StrA, StrC;
1444   ValA.toString(StrA, 10, false);
1445   ValC.toString(StrC, 10, false);
1446   EXPECT_EQ(std::string(StrA), std::string(StrC));
1447 }
1448 
1449 TEST(APIntTest, Rotate) {
1450   EXPECT_EQ(APInt(8, 1),  APInt(8, 1).rotl(0));
1451   EXPECT_EQ(APInt(8, 2),  APInt(8, 1).rotl(1));
1452   EXPECT_EQ(APInt(8, 4),  APInt(8, 1).rotl(2));
1453   EXPECT_EQ(APInt(8, 16), APInt(8, 1).rotl(4));
1454   EXPECT_EQ(APInt(8, 1),  APInt(8, 1).rotl(8));
1455 
1456   EXPECT_EQ(APInt(8, 16), APInt(8, 16).rotl(0));
1457   EXPECT_EQ(APInt(8, 32), APInt(8, 16).rotl(1));
1458   EXPECT_EQ(APInt(8, 64), APInt(8, 16).rotl(2));
1459   EXPECT_EQ(APInt(8, 1),  APInt(8, 16).rotl(4));
1460   EXPECT_EQ(APInt(8, 16), APInt(8, 16).rotl(8));
1461 
1462   EXPECT_EQ(APInt(32, 2), APInt(32, 1).rotl(33));
1463   EXPECT_EQ(APInt(32, 2), APInt(32, 1).rotl(APInt(32, 33)));
1464 
1465   EXPECT_EQ(APInt(32, 2), APInt(32, 1).rotl(33));
1466   EXPECT_EQ(APInt(32, 2), APInt(32, 1).rotl(APInt(32, 33)));
1467   EXPECT_EQ(APInt(32, 2), APInt(32, 1).rotl(APInt(33, 33)));
1468   EXPECT_EQ(APInt(32, (1 << 8)), APInt(32, 1).rotl(APInt(32, 40)));
1469   EXPECT_EQ(APInt(32, (1 << 30)), APInt(32, 1).rotl(APInt(31, 30)));
1470   EXPECT_EQ(APInt(32, (1 << 31)), APInt(32, 1).rotl(APInt(31, 31)));
1471 
1472   EXPECT_EQ(APInt(32, 1), APInt(32, 1).rotl(APInt(1, 0)));
1473   EXPECT_EQ(APInt(32, 2), APInt(32, 1).rotl(APInt(1, 1)));
1474 
1475   EXPECT_EQ(APInt(32, 16), APInt(32, 1).rotl(APInt(3, 4)));
1476 
1477   EXPECT_EQ(APInt(32, 1), APInt(32, 1).rotl(APInt(64, 64)));
1478   EXPECT_EQ(APInt(32, 2), APInt(32, 1).rotl(APInt(64, 65)));
1479 
1480   EXPECT_EQ(APInt(7, 24), APInt(7, 3).rotl(APInt(7, 3)));
1481   EXPECT_EQ(APInt(7, 24), APInt(7, 3).rotl(APInt(7, 10)));
1482   EXPECT_EQ(APInt(7, 24), APInt(7, 3).rotl(APInt(5, 10)));
1483   EXPECT_EQ(APInt(7, 6), APInt(7, 3).rotl(APInt(12, 120)));
1484 
1485   EXPECT_EQ(APInt(8, 16), APInt(8, 16).rotr(0));
1486   EXPECT_EQ(APInt(8, 8),  APInt(8, 16).rotr(1));
1487   EXPECT_EQ(APInt(8, 4),  APInt(8, 16).rotr(2));
1488   EXPECT_EQ(APInt(8, 1),  APInt(8, 16).rotr(4));
1489   EXPECT_EQ(APInt(8, 16), APInt(8, 16).rotr(8));
1490 
1491   EXPECT_EQ(APInt(8, 1),   APInt(8, 1).rotr(0));
1492   EXPECT_EQ(APInt(8, 128), APInt(8, 1).rotr(1));
1493   EXPECT_EQ(APInt(8, 64),  APInt(8, 1).rotr(2));
1494   EXPECT_EQ(APInt(8, 16),  APInt(8, 1).rotr(4));
1495   EXPECT_EQ(APInt(8, 1),   APInt(8, 1).rotr(8));
1496 
1497   EXPECT_EQ(APInt(32, (1 << 31)), APInt(32, 1).rotr(33));
1498   EXPECT_EQ(APInt(32, (1 << 31)), APInt(32, 1).rotr(APInt(32, 33)));
1499 
1500   EXPECT_EQ(APInt(32, (1 << 31)), APInt(32, 1).rotr(33));
1501   EXPECT_EQ(APInt(32, (1 << 31)), APInt(32, 1).rotr(APInt(32, 33)));
1502   EXPECT_EQ(APInt(32, (1 << 31)), APInt(32, 1).rotr(APInt(33, 33)));
1503   EXPECT_EQ(APInt(32, (1 << 24)), APInt(32, 1).rotr(APInt(32, 40)));
1504 
1505   EXPECT_EQ(APInt(32, (1 << 2)), APInt(32, 1).rotr(APInt(31, 30)));
1506   EXPECT_EQ(APInt(32, (1 << 1)), APInt(32, 1).rotr(APInt(31, 31)));
1507 
1508   EXPECT_EQ(APInt(32, 1), APInt(32, 1).rotr(APInt(1, 0)));
1509   EXPECT_EQ(APInt(32, (1 << 31)), APInt(32, 1).rotr(APInt(1, 1)));
1510 
1511   EXPECT_EQ(APInt(32, (1 << 28)), APInt(32, 1).rotr(APInt(3, 4)));
1512 
1513   EXPECT_EQ(APInt(32, 1), APInt(32, 1).rotr(APInt(64, 64)));
1514   EXPECT_EQ(APInt(32, (1 << 31)), APInt(32, 1).rotr(APInt(64, 65)));
1515 
1516   EXPECT_EQ(APInt(7, 48), APInt(7, 3).rotr(APInt(7, 3)));
1517   EXPECT_EQ(APInt(7, 48), APInt(7, 3).rotr(APInt(7, 10)));
1518   EXPECT_EQ(APInt(7, 48), APInt(7, 3).rotr(APInt(5, 10)));
1519   EXPECT_EQ(APInt(7, 65), APInt(7, 3).rotr(APInt(12, 120)));
1520 
1521   APInt Big(256, "00004000800000000000000000003fff8000000000000003", 16);
1522   APInt Rot(256, "3fff80000000000000030000000000000000000040008000", 16);
1523   EXPECT_EQ(Rot, Big.rotr(144));
1524 
1525   EXPECT_EQ(APInt(32, 8), APInt(32, 1).rotl(Big));
1526   EXPECT_EQ(APInt(32, (1 << 29)), APInt(32, 1).rotr(Big));
1527 }
1528 
1529 TEST(APIntTest, Splat) {
1530   APInt ValA(8, 0x01);
1531   EXPECT_EQ(ValA, APInt::getSplat(8, ValA));
1532   EXPECT_EQ(APInt(64, 0x0101010101010101ULL), APInt::getSplat(64, ValA));
1533 
1534   APInt ValB(3, 5);
1535   EXPECT_EQ(APInt(4, 0xD), APInt::getSplat(4, ValB));
1536   EXPECT_EQ(APInt(15, 0xDB6D), APInt::getSplat(15, ValB));
1537 }
1538 
1539 TEST(APIntTest, tcDecrement) {
1540   // Test single word decrement.
1541 
1542   // No out borrow.
1543   {
1544     APInt::WordType singleWord = ~APInt::WordType(0) << (APInt::APINT_BITS_PER_WORD - 1);
1545     APInt::WordType carry = APInt::tcDecrement(&singleWord, 1);
1546     EXPECT_EQ(carry, APInt::WordType(0));
1547     EXPECT_EQ(singleWord, ~APInt::WordType(0) >> 1);
1548   }
1549 
1550   // With out borrow.
1551   {
1552     APInt::WordType singleWord = 0;
1553     APInt::WordType carry = APInt::tcDecrement(&singleWord, 1);
1554     EXPECT_EQ(carry, APInt::WordType(1));
1555     EXPECT_EQ(singleWord, ~APInt::WordType(0));
1556   }
1557 
1558   // Test multiword decrement.
1559 
1560   // No across word borrow, no out borrow.
1561   {
1562     APInt::WordType test[4] = {0x1, 0x1, 0x1, 0x1};
1563     APInt::WordType expected[4] = {0x0, 0x1, 0x1, 0x1};
1564     APInt::tcDecrement(test, 4);
1565     EXPECT_EQ(APInt::tcCompare(test, expected, 4), 0);
1566   }
1567 
1568   // 1 across word borrow, no out borrow.
1569   {
1570     APInt::WordType test[4] = {0x0, 0xF, 0x1, 0x1};
1571     APInt::WordType expected[4] = {~APInt::WordType(0), 0xE, 0x1, 0x1};
1572     APInt::WordType carry = APInt::tcDecrement(test, 4);
1573     EXPECT_EQ(carry, APInt::WordType(0));
1574     EXPECT_EQ(APInt::tcCompare(test, expected, 4), 0);
1575   }
1576 
1577   // 2 across word borrow, no out borrow.
1578   {
1579     APInt::WordType test[4] = {0x0, 0x0, 0xC, 0x1};
1580     APInt::WordType expected[4] = {~APInt::WordType(0), ~APInt::WordType(0), 0xB, 0x1};
1581     APInt::WordType carry = APInt::tcDecrement(test, 4);
1582     EXPECT_EQ(carry, APInt::WordType(0));
1583     EXPECT_EQ(APInt::tcCompare(test, expected, 4), 0);
1584   }
1585 
1586   // 3 across word borrow, no out borrow.
1587   {
1588     APInt::WordType test[4] = {0x0, 0x0, 0x0, 0x1};
1589     APInt::WordType expected[4] = {~APInt::WordType(0), ~APInt::WordType(0), ~APInt::WordType(0), 0x0};
1590     APInt::WordType carry = APInt::tcDecrement(test, 4);
1591     EXPECT_EQ(carry, APInt::WordType(0));
1592     EXPECT_EQ(APInt::tcCompare(test, expected, 4), 0);
1593   }
1594 
1595   // 3 across word borrow, with out borrow.
1596   {
1597     APInt::WordType test[4] = {0x0, 0x0, 0x0, 0x0};
1598     APInt::WordType expected[4] = {~APInt::WordType(0), ~APInt::WordType(0), ~APInt::WordType(0), ~APInt::WordType(0)};
1599     APInt::WordType carry = APInt::tcDecrement(test, 4);
1600     EXPECT_EQ(carry, APInt::WordType(1));
1601     EXPECT_EQ(APInt::tcCompare(test, expected, 4), 0);
1602   }
1603 }
1604 
1605 TEST(APIntTest, arrayAccess) {
1606   // Single word check.
1607   uint64_t E1 = 0x2CA7F46BF6569915ULL;
1608   APInt A1(64, E1);
1609   for (unsigned i = 0, e = 64; i < e; ++i) {
1610     EXPECT_EQ(bool(E1 & (1ULL << i)),
1611               A1[i]);
1612   }
1613 
1614   // Multiword check.
1615   APInt::WordType E2[4] = {
1616     0xEB6EB136591CBA21ULL,
1617     0x7B9358BD6A33F10AULL,
1618     0x7E7FFA5EADD8846ULL,
1619     0x305F341CA00B613DULL
1620   };
1621   APInt A2(APInt::APINT_BITS_PER_WORD*4, E2);
1622   for (unsigned i = 0; i < 4; ++i) {
1623     for (unsigned j = 0; j < APInt::APINT_BITS_PER_WORD; ++j) {
1624       EXPECT_EQ(bool(E2[i] & (1ULL << j)),
1625                 A2[i*APInt::APINT_BITS_PER_WORD + j]);
1626     }
1627   }
1628 }
1629 
1630 TEST(APIntTest, LargeAPIntConstruction) {
1631   // Check that we can properly construct very large APInt. It is very
1632   // unlikely that people will ever do this, but it is a legal input,
1633   // so we should not crash on it.
1634   APInt A9(UINT32_MAX, 0);
1635   EXPECT_FALSE(A9.getBoolValue());
1636 }
1637 
1638 TEST(APIntTest, nearestLogBase2) {
1639   // Single word check.
1640 
1641   // Test round up.
1642   uint64_t I1 = 0x1800001;
1643   APInt A1(64, I1);
1644   EXPECT_EQ(A1.nearestLogBase2(), A1.ceilLogBase2());
1645 
1646   // Test round down.
1647   uint64_t I2 = 0x1000011;
1648   APInt A2(64, I2);
1649   EXPECT_EQ(A2.nearestLogBase2(), A2.logBase2());
1650 
1651   // Test ties round up.
1652   uint64_t I3 = 0x1800000;
1653   APInt A3(64, I3);
1654   EXPECT_EQ(A3.nearestLogBase2(), A3.ceilLogBase2());
1655 
1656   // Multiple word check.
1657 
1658   // Test round up.
1659   APInt::WordType I4[4] = {0x0, 0xF, 0x18, 0x0};
1660   APInt A4(APInt::APINT_BITS_PER_WORD*4, I4);
1661   EXPECT_EQ(A4.nearestLogBase2(), A4.ceilLogBase2());
1662 
1663   // Test round down.
1664   APInt::WordType I5[4] = {0x0, 0xF, 0x10, 0x0};
1665   APInt A5(APInt::APINT_BITS_PER_WORD*4, I5);
1666   EXPECT_EQ(A5.nearestLogBase2(), A5.logBase2());
1667 
1668   // Test ties round up.
1669   uint64_t I6[4] = {0x0, 0x0, 0x0, 0x18};
1670   APInt A6(APInt::APINT_BITS_PER_WORD*4, I6);
1671   EXPECT_EQ(A6.nearestLogBase2(), A6.ceilLogBase2());
1672 
1673   // Test BitWidth == 1 special cases.
1674   APInt A7(1, 1);
1675   EXPECT_EQ(A7.nearestLogBase2(), 0ULL);
1676   APInt A8(1, 0);
1677   EXPECT_EQ(A8.nearestLogBase2(), UINT32_MAX);
1678 
1679   // Test the zero case when we have a bit width large enough such
1680   // that the bit width is larger than UINT32_MAX-1.
1681   APInt A9(UINT32_MAX, 0);
1682   EXPECT_EQ(A9.nearestLogBase2(), UINT32_MAX);
1683 }
1684 
1685 TEST(APIntTest, IsSplat) {
1686   APInt A(32, 0x01010101);
1687   EXPECT_FALSE(A.isSplat(1));
1688   EXPECT_FALSE(A.isSplat(2));
1689   EXPECT_FALSE(A.isSplat(4));
1690   EXPECT_TRUE(A.isSplat(8));
1691   EXPECT_TRUE(A.isSplat(16));
1692   EXPECT_TRUE(A.isSplat(32));
1693 
1694   APInt B(24, 0xAAAAAA);
1695   EXPECT_FALSE(B.isSplat(1));
1696   EXPECT_TRUE(B.isSplat(2));
1697   EXPECT_TRUE(B.isSplat(4));
1698   EXPECT_TRUE(B.isSplat(8));
1699   EXPECT_TRUE(B.isSplat(24));
1700 
1701   APInt C(24, 0xABAAAB);
1702   EXPECT_FALSE(C.isSplat(1));
1703   EXPECT_FALSE(C.isSplat(2));
1704   EXPECT_FALSE(C.isSplat(4));
1705   EXPECT_FALSE(C.isSplat(8));
1706   EXPECT_TRUE(C.isSplat(24));
1707 
1708   APInt D(32, 0xABBAABBA);
1709   EXPECT_FALSE(D.isSplat(1));
1710   EXPECT_FALSE(D.isSplat(2));
1711   EXPECT_FALSE(D.isSplat(4));
1712   EXPECT_FALSE(D.isSplat(8));
1713   EXPECT_TRUE(D.isSplat(16));
1714   EXPECT_TRUE(D.isSplat(32));
1715 
1716   APInt E(32, 0);
1717   EXPECT_TRUE(E.isSplat(1));
1718   EXPECT_TRUE(E.isSplat(2));
1719   EXPECT_TRUE(E.isSplat(4));
1720   EXPECT_TRUE(E.isSplat(8));
1721   EXPECT_TRUE(E.isSplat(16));
1722   EXPECT_TRUE(E.isSplat(32));
1723 }
1724 
1725 TEST(APIntTest, isMask) {
1726   EXPECT_FALSE(APInt(32, 0x01010101).isMask());
1727   EXPECT_FALSE(APInt(32, 0xf0000000).isMask());
1728   EXPECT_FALSE(APInt(32, 0xffff0000).isMask());
1729   EXPECT_FALSE(APInt(32, 0xff << 1).isMask());
1730 
1731   for (int N : { 1, 2, 3, 4, 7, 8, 16, 32, 64, 127, 128, 129, 256 }) {
1732     EXPECT_FALSE(APInt(N, 0).isMask());
1733 
1734     APInt One(N, 1);
1735     for (int I = 1; I <= N; ++I) {
1736       APInt MaskVal = One.shl(I) - 1;
1737       EXPECT_TRUE(MaskVal.isMask());
1738       EXPECT_TRUE(MaskVal.isMask(I));
1739     }
1740   }
1741 }
1742 
1743 TEST(APIntTest, isShiftedMask) {
1744   EXPECT_FALSE(APInt(32, 0x01010101).isShiftedMask());
1745   EXPECT_TRUE(APInt(32, 0xf0000000).isShiftedMask());
1746   EXPECT_TRUE(APInt(32, 0xffff0000).isShiftedMask());
1747   EXPECT_TRUE(APInt(32, 0xff << 1).isShiftedMask());
1748 
1749   for (int N : { 1, 2, 3, 4, 7, 8, 16, 32, 64, 127, 128, 129, 256 }) {
1750     EXPECT_FALSE(APInt(N, 0).isShiftedMask());
1751 
1752     APInt One(N, 1);
1753     for (int I = 1; I < N; ++I) {
1754       APInt MaskVal = One.shl(I) - 1;
1755       EXPECT_TRUE(MaskVal.isShiftedMask());
1756     }
1757     for (int I = 1; I < N - 1; ++I) {
1758       APInt MaskVal = One.shl(I);
1759       EXPECT_TRUE(MaskVal.isShiftedMask());
1760     }
1761     for (int I = 1; I < N; ++I) {
1762       APInt MaskVal = APInt::getHighBitsSet(N, I);
1763       EXPECT_TRUE(MaskVal.isShiftedMask());
1764     }
1765   }
1766 }
1767 
1768 // Test that self-move works with EXPENSIVE_CHECKS. It calls std::shuffle which
1769 // does self-move on some platforms.
1770 #ifdef EXPENSIVE_CHECKS
1771 #if defined(__clang__)
1772 // Disable the pragma warning from versions of Clang without -Wself-move
1773 #pragma clang diagnostic push
1774 #pragma clang diagnostic ignored "-Wunknown-pragmas"
1775 // Disable the warning that triggers on exactly what is being tested.
1776 #pragma clang diagnostic push
1777 #pragma clang diagnostic ignored "-Wself-move"
1778 #endif
1779 TEST(APIntTest, SelfMoveAssignment) {
1780   APInt X(32, 0xdeadbeef);
1781   X = std::move(X);
1782   EXPECT_EQ(32u, X.getBitWidth());
1783   EXPECT_EQ(0xdeadbeefULL, X.getLimitedValue());
1784 
1785   uint64_t Bits[] = {0xdeadbeefdeadbeefULL, 0xdeadbeefdeadbeefULL};
1786   APInt Y(128, Bits);
1787   Y = std::move(Y);
1788   EXPECT_EQ(128u, Y.getBitWidth());
1789   EXPECT_EQ(~0ULL, Y.getLimitedValue());
1790   const uint64_t *Raw = Y.getRawData();
1791   EXPECT_EQ(2u, Y.getNumWords());
1792   EXPECT_EQ(0xdeadbeefdeadbeefULL, Raw[0]);
1793   EXPECT_EQ(0xdeadbeefdeadbeefULL, Raw[1]);
1794 }
1795 #if defined(__clang__)
1796 #pragma clang diagnostic pop
1797 #pragma clang diagnostic pop
1798 #endif
1799 #endif // EXPENSIVE_CHECKS
1800 
1801 TEST(APIntTest, byteSwap) {
1802   EXPECT_EQ(0x00000000, APInt(16, 0x0000).byteSwap());
1803   EXPECT_EQ(0x0000010f, APInt(16, 0x0f01).byteSwap());
1804   EXPECT_EQ(0x00ff8000, APInt(24, 0x0080ff).byteSwap());
1805   EXPECT_EQ(0x117700ff, APInt(32, 0xff007711).byteSwap());
1806   EXPECT_EQ(0x228811aaffULL, APInt(40, 0xffaa118822ULL).byteSwap());
1807   EXPECT_EQ(0x050403020100ULL, APInt(48, 0x000102030405ULL).byteSwap());
1808   EXPECT_EQ(0xff050403020100ULL, APInt(56, 0x000102030405ffULL).byteSwap());
1809   EXPECT_EQ(0xff050403020100aaULL, APInt(64, 0xaa000102030405ffULL).byteSwap());
1810 
1811   for (unsigned N : {16, 24, 32, 48, 56, 64, 72, 80, 96, 112, 128, 248, 256,
1812                      1024, 1032, 1040}) {
1813     for (unsigned I = 0; I < N; I += 8) {
1814       APInt X = APInt::getBitsSet(N, I, I + 8);
1815       APInt Y = APInt::getBitsSet(N, N - I - 8, N - I);
1816       EXPECT_EQ(Y, X.byteSwap());
1817       EXPECT_EQ(X, Y.byteSwap());
1818     }
1819   }
1820 }
1821 
1822 TEST(APIntTest, reverseBits) {
1823   EXPECT_EQ(1, APInt(1, 1).reverseBits());
1824   EXPECT_EQ(0, APInt(1, 0).reverseBits());
1825 
1826   EXPECT_EQ(3, APInt(2, 3).reverseBits());
1827   EXPECT_EQ(3, APInt(2, 3).reverseBits());
1828 
1829   EXPECT_EQ(0xb, APInt(4, 0xd).reverseBits());
1830   EXPECT_EQ(0xd, APInt(4, 0xb).reverseBits());
1831   EXPECT_EQ(0xf, APInt(4, 0xf).reverseBits());
1832 
1833   EXPECT_EQ(0x30, APInt(7, 0x6).reverseBits());
1834   EXPECT_EQ(0x5a, APInt(7, 0x2d).reverseBits());
1835 
1836   EXPECT_EQ(0x0f, APInt(8, 0xf0).reverseBits());
1837   EXPECT_EQ(0xf0, APInt(8, 0x0f).reverseBits());
1838 
1839   EXPECT_EQ(0x0f0f, APInt(16, 0xf0f0).reverseBits());
1840   EXPECT_EQ(0xf0f0, APInt(16, 0x0f0f).reverseBits());
1841 
1842   EXPECT_EQ(0x0f0f0f0f, APInt(32, 0xf0f0f0f0).reverseBits());
1843   EXPECT_EQ(0xf0f0f0f0, APInt(32, 0x0f0f0f0f).reverseBits());
1844 
1845   EXPECT_EQ(0x402880a0 >> 1, APInt(31, 0x05011402).reverseBits());
1846 
1847   EXPECT_EQ(0x0f0f0f0f, APInt(32, 0xf0f0f0f0).reverseBits());
1848   EXPECT_EQ(0xf0f0f0f0, APInt(32, 0x0f0f0f0f).reverseBits());
1849 
1850   EXPECT_EQ(0x0f0f0f0f0f0f0f0f, APInt(64, 0xf0f0f0f0f0f0f0f0).reverseBits());
1851   EXPECT_EQ(0xf0f0f0f0f0f0f0f0, APInt(64, 0x0f0f0f0f0f0f0f0f).reverseBits());
1852 
1853   for (unsigned N : { 1, 8, 16, 24, 31, 32, 33,
1854                       63, 64, 65, 127, 128, 257, 1024 }) {
1855     for (unsigned I = 0; I < N; ++I) {
1856       APInt X = APInt::getOneBitSet(N, I);
1857       APInt Y = APInt::getOneBitSet(N, N - (I + 1));
1858       EXPECT_EQ(Y, X.reverseBits());
1859       EXPECT_EQ(X, Y.reverseBits());
1860     }
1861   }
1862 }
1863 
1864 TEST(APIntTest, insertBits) {
1865   APInt iSrc(31, 0x00123456);
1866 
1867   // Direct copy.
1868   APInt i31(31, 0x76543210ull);
1869   i31.insertBits(iSrc, 0);
1870   EXPECT_EQ(static_cast<int64_t>(0x00123456ull), i31.getSExtValue());
1871 
1872   // Single word src/dst insertion.
1873   APInt i63(63, 0x01234567FFFFFFFFull);
1874   i63.insertBits(iSrc, 4);
1875   EXPECT_EQ(static_cast<int64_t>(0x012345600123456Full), i63.getSExtValue());
1876 
1877   // Zero width insert is a noop.
1878   i31.insertBits(APInt::getZeroWidth(), 1);
1879   EXPECT_EQ(static_cast<int64_t>(0x00123456ull), i31.getSExtValue());
1880 
1881   // Insert single word src into one word of dst.
1882   APInt i120(120, UINT64_MAX, true);
1883   i120.insertBits(iSrc, 8);
1884   EXPECT_EQ(static_cast<int64_t>(0xFFFFFF80123456FFull), i120.getSExtValue());
1885 
1886   // Insert single word src into two words of dst.
1887   APInt i127(127, UINT64_MAX, true);
1888   i127.insertBits(iSrc, 48);
1889   EXPECT_EQ(i127.extractBits(64, 0).getZExtValue(), 0x3456FFFFFFFFFFFFull);
1890   EXPECT_EQ(i127.extractBits(63, 64).getZExtValue(), 0x7FFFFFFFFFFF8012ull);
1891 
1892   // Insert on word boundaries.
1893   APInt i128(128, 0);
1894   i128.insertBits(APInt(64, UINT64_MAX, true), 0);
1895   i128.insertBits(APInt(64, UINT64_MAX, true), 64);
1896   EXPECT_EQ(-1, i128.getSExtValue());
1897 
1898   APInt i256(256, UINT64_MAX, true);
1899   i256.insertBits(APInt(65, 0), 0);
1900   i256.insertBits(APInt(69, 0), 64);
1901   i256.insertBits(APInt(128, 0), 128);
1902   EXPECT_EQ(0u, i256.getSExtValue());
1903 
1904   APInt i257(257, 0);
1905   i257.insertBits(APInt(96, UINT64_MAX, true), 64);
1906   EXPECT_EQ(i257.extractBits(64, 0).getZExtValue(), 0x0000000000000000ull);
1907   EXPECT_EQ(i257.extractBits(64, 64).getZExtValue(), 0xFFFFFFFFFFFFFFFFull);
1908   EXPECT_EQ(i257.extractBits(64, 128).getZExtValue(), 0x00000000FFFFFFFFull);
1909   EXPECT_EQ(i257.extractBits(65, 192).getZExtValue(), 0x0000000000000000ull);
1910 
1911   // General insertion.
1912   APInt i260(260, UINT64_MAX, true);
1913   i260.insertBits(APInt(129, 1ull << 48), 15);
1914   EXPECT_EQ(i260.extractBits(64, 0).getZExtValue(), 0x8000000000007FFFull);
1915   EXPECT_EQ(i260.extractBits(64, 64).getZExtValue(), 0x0000000000000000ull);
1916   EXPECT_EQ(i260.extractBits(64, 128).getZExtValue(), 0xFFFFFFFFFFFF0000ull);
1917   EXPECT_EQ(i260.extractBits(64, 192).getZExtValue(), 0xFFFFFFFFFFFFFFFFull);
1918   EXPECT_EQ(i260.extractBits(4, 256).getZExtValue(), 0x000000000000000Full);
1919 }
1920 
1921 TEST(APIntTest, insertBitsUInt64) {
1922   // Tests cloned from insertBits but adapted to the numBits <= 64 constraint
1923   uint64_t iSrc = 0x00123456;
1924 
1925   // Direct copy.
1926   APInt i31(31, 0x76543210ull);
1927   i31.insertBits(iSrc, 0, 31);
1928   EXPECT_EQ(static_cast<int64_t>(0x00123456ull), i31.getSExtValue());
1929 
1930   // Single word src/dst insertion.
1931   APInt i63(63, 0x01234567FFFFFFFFull);
1932   i63.insertBits(iSrc, 4, 31);
1933   EXPECT_EQ(static_cast<int64_t>(0x012345600123456Full), i63.getSExtValue());
1934 
1935   // Insert single word src into one word of dst.
1936   APInt i120(120, UINT64_MAX, true);
1937   i120.insertBits(iSrc, 8, 31);
1938   EXPECT_EQ(static_cast<int64_t>(0xFFFFFF80123456FFull), i120.getSExtValue());
1939 
1940   // Insert single word src into two words of dst.
1941   APInt i127(127, UINT64_MAX, true);
1942   i127.insertBits(iSrc, 48, 31);
1943   EXPECT_EQ(i127.extractBits(64, 0).getZExtValue(), 0x3456FFFFFFFFFFFFull);
1944   EXPECT_EQ(i127.extractBits(63, 64).getZExtValue(), 0x7FFFFFFFFFFF8012ull);
1945 
1946   // Insert on word boundaries.
1947   APInt i128(128, 0);
1948   i128.insertBits(UINT64_MAX, 0, 64);
1949   i128.insertBits(UINT64_MAX, 64, 64);
1950   EXPECT_EQ(-1, i128.getSExtValue());
1951 
1952   APInt i256(256, UINT64_MAX, true);
1953   i256.insertBits(0, 0, 64);
1954   i256.insertBits(0, 64, 1);
1955   i256.insertBits(0, 64, 64);
1956   i256.insertBits(0, 128, 5);
1957   i256.insertBits(0, 128, 64);
1958   i256.insertBits(0, 192, 64);
1959   EXPECT_EQ(0u, i256.getSExtValue());
1960 
1961   APInt i257(257, 0);
1962   i257.insertBits(APInt(96, UINT64_MAX, true), 64);
1963   EXPECT_EQ(i257.extractBitsAsZExtValue(64, 0), 0x0000000000000000ull);
1964   EXPECT_EQ(i257.extractBitsAsZExtValue(64, 64), 0xFFFFFFFFFFFFFFFFull);
1965   EXPECT_EQ(i257.extractBitsAsZExtValue(64, 128), 0x00000000FFFFFFFFull);
1966   EXPECT_EQ(i257.extractBitsAsZExtValue(64, 192), 0x0000000000000000ull);
1967   EXPECT_EQ(i257.extractBitsAsZExtValue(1, 256), 0x0000000000000000ull);
1968 
1969   // General insertion.
1970   APInt i260(260, UINT64_MAX, true);
1971   i260.insertBits(APInt(129, 1ull << 48), 15);
1972   EXPECT_EQ(i260.extractBitsAsZExtValue(64, 0), 0x8000000000007FFFull);
1973   EXPECT_EQ(i260.extractBitsAsZExtValue(64, 64), 0x0000000000000000ull);
1974   EXPECT_EQ(i260.extractBitsAsZExtValue(64, 128), 0xFFFFFFFFFFFF0000ull);
1975   EXPECT_EQ(i260.extractBitsAsZExtValue(64, 192), 0xFFFFFFFFFFFFFFFFull);
1976   EXPECT_EQ(i260.extractBitsAsZExtValue(4, 256), 0x000000000000000Full);
1977 }
1978 
1979 TEST(APIntTest, extractBits) {
1980   APInt i32(32, 0x1234567);
1981   EXPECT_EQ(0x3456, i32.extractBits(16, 4));
1982 
1983   APInt i64(64, 0x01234567FFFFFFFFull);
1984   EXPECT_EQ(0xFFFFFFFF, i64.extractBits(32, 0));
1985   EXPECT_EQ(0xFFFFFFFF, i64.trunc(32));
1986   EXPECT_EQ(0x01234567, i64.extractBits(32, 32));
1987   EXPECT_EQ(0x01234567, i64.lshr(32).trunc(32));
1988 
1989   APInt i257(257, 0xFFFFFFFFFF0000FFull, true);
1990   EXPECT_EQ(0xFFu, i257.extractBits(16, 0));
1991   EXPECT_EQ(0xFFu, i257.lshr(0).trunc(16));
1992   EXPECT_EQ((0xFFu >> 1), i257.extractBits(16, 1));
1993   EXPECT_EQ((0xFFu >> 1), i257.lshr(1).trunc(16));
1994   EXPECT_EQ(-1, i257.extractBits(32, 64).getSExtValue());
1995   EXPECT_EQ(-1, i257.lshr(64).trunc(32).getSExtValue());
1996   EXPECT_EQ(-1, i257.extractBits(128, 128).getSExtValue());
1997   EXPECT_EQ(-1, i257.lshr(128).trunc(128).getSExtValue());
1998   EXPECT_EQ(-1, i257.extractBits(66, 191).getSExtValue());
1999   EXPECT_EQ(-1, i257.lshr(191).trunc(66).getSExtValue());
2000   EXPECT_EQ(static_cast<int64_t>(0xFFFFFFFFFF80007Full),
2001             i257.extractBits(128, 1).getSExtValue());
2002   EXPECT_EQ(static_cast<int64_t>(0xFFFFFFFFFF80007Full),
2003             i257.lshr(1).trunc(128).getSExtValue());
2004   EXPECT_EQ(static_cast<int64_t>(0xFFFFFFFFFF80007Full),
2005             i257.extractBits(129, 1).getSExtValue());
2006   EXPECT_EQ(static_cast<int64_t>(0xFFFFFFFFFF80007Full),
2007             i257.lshr(1).trunc(129).getSExtValue());
2008 
2009   EXPECT_EQ(APInt(48, 0),
2010             APInt(144, "281474976710655", 10).extractBits(48, 48));
2011   EXPECT_EQ(APInt(48, 0),
2012             APInt(144, "281474976710655", 10).lshr(48).trunc(48));
2013   EXPECT_EQ(APInt(48, 0x0000ffffffffffffull),
2014             APInt(144, "281474976710655", 10).extractBits(48, 0));
2015   EXPECT_EQ(APInt(48, 0x0000ffffffffffffull),
2016             APInt(144, "281474976710655", 10).lshr(0).trunc(48));
2017   EXPECT_EQ(APInt(48, 0x00007fffffffffffull),
2018             APInt(144, "281474976710655", 10).extractBits(48, 1));
2019   EXPECT_EQ(APInt(48, 0x00007fffffffffffull),
2020             APInt(144, "281474976710655", 10).lshr(1).trunc(48));
2021 }
2022 
2023 TEST(APIntTest, extractBitsAsZExtValue) {
2024   // Tests based on extractBits
2025   APInt i32(32, 0x1234567);
2026   EXPECT_EQ(0x3456u, i32.extractBitsAsZExtValue(16, 4));
2027 
2028   APInt i257(257, 0xFFFFFFFFFF0000FFull, true);
2029   EXPECT_EQ(0xFFu, i257.extractBitsAsZExtValue(16, 0));
2030   EXPECT_EQ((0xFFu >> 1), i257.extractBitsAsZExtValue(16, 1));
2031   EXPECT_EQ(0xFFFFFFFFull, i257.extractBitsAsZExtValue(32, 64));
2032   EXPECT_EQ(0xFFFFFFFFFFFFFFFFull, i257.extractBitsAsZExtValue(64, 128));
2033   EXPECT_EQ(0xFFFFFFFFFFFFFFFFull, i257.extractBitsAsZExtValue(64, 192));
2034   EXPECT_EQ(0xFFFFFFFFFFFFFFFFull, i257.extractBitsAsZExtValue(64, 191));
2035   EXPECT_EQ(0x3u, i257.extractBitsAsZExtValue(2, 255));
2036   EXPECT_EQ(0xFFFFFFFFFF80007Full, i257.extractBitsAsZExtValue(64, 1));
2037   EXPECT_EQ(0xFFFFFFFFFFFFFFFFull, i257.extractBitsAsZExtValue(64, 65));
2038   EXPECT_EQ(0xFFFFFFFFFF80007Full, i257.extractBitsAsZExtValue(64, 1));
2039   EXPECT_EQ(0xFFFFFFFFFFFFFFFFull, i257.extractBitsAsZExtValue(64, 65));
2040   EXPECT_EQ(0x1ull, i257.extractBitsAsZExtValue(1, 129));
2041 
2042   EXPECT_EQ(APInt(48, 0),
2043             APInt(144, "281474976710655", 10).extractBitsAsZExtValue(48, 48));
2044   EXPECT_EQ(APInt(48, 0x0000ffffffffffffull),
2045             APInt(144, "281474976710655", 10).extractBitsAsZExtValue(48, 0));
2046   EXPECT_EQ(APInt(48, 0x00007fffffffffffull),
2047             APInt(144, "281474976710655", 10).extractBitsAsZExtValue(48, 1));
2048 }
2049 
2050 TEST(APIntTest, getLowBitsSet) {
2051   APInt i128lo64 = APInt::getLowBitsSet(128, 64);
2052   EXPECT_EQ(0u, i128lo64.countLeadingOnes());
2053   EXPECT_EQ(64u, i128lo64.countLeadingZeros());
2054   EXPECT_EQ(64u, i128lo64.getActiveBits());
2055   EXPECT_EQ(0u, i128lo64.countTrailingZeros());
2056   EXPECT_EQ(64u, i128lo64.countTrailingOnes());
2057   EXPECT_EQ(64u, i128lo64.countPopulation());
2058 }
2059 
2060 TEST(APIntTest, getBitsSet) {
2061   APInt i64hi1lo1 = APInt::getBitsSet(64, 1, 63);
2062   EXPECT_EQ(0u, i64hi1lo1.countLeadingOnes());
2063   EXPECT_EQ(1u, i64hi1lo1.countLeadingZeros());
2064   EXPECT_EQ(63u, i64hi1lo1.getActiveBits());
2065   EXPECT_EQ(1u, i64hi1lo1.countTrailingZeros());
2066   EXPECT_EQ(0u, i64hi1lo1.countTrailingOnes());
2067   EXPECT_EQ(62u, i64hi1lo1.countPopulation());
2068 
2069   APInt i127hi1lo1 = APInt::getBitsSet(127, 1, 126);
2070   EXPECT_EQ(0u, i127hi1lo1.countLeadingOnes());
2071   EXPECT_EQ(1u, i127hi1lo1.countLeadingZeros());
2072   EXPECT_EQ(126u, i127hi1lo1.getActiveBits());
2073   EXPECT_EQ(1u, i127hi1lo1.countTrailingZeros());
2074   EXPECT_EQ(0u, i127hi1lo1.countTrailingOnes());
2075   EXPECT_EQ(125u, i127hi1lo1.countPopulation());
2076 }
2077 
2078 TEST(APIntTest, getBitsSetWithWrap) {
2079   APInt i64hi1lo1 = APInt::getBitsSetWithWrap(64, 1, 63);
2080   EXPECT_EQ(0u, i64hi1lo1.countLeadingOnes());
2081   EXPECT_EQ(1u, i64hi1lo1.countLeadingZeros());
2082   EXPECT_EQ(63u, i64hi1lo1.getActiveBits());
2083   EXPECT_EQ(1u, i64hi1lo1.countTrailingZeros());
2084   EXPECT_EQ(0u, i64hi1lo1.countTrailingOnes());
2085   EXPECT_EQ(62u, i64hi1lo1.countPopulation());
2086 
2087   APInt i127hi1lo1 = APInt::getBitsSetWithWrap(127, 1, 126);
2088   EXPECT_EQ(0u, i127hi1lo1.countLeadingOnes());
2089   EXPECT_EQ(1u, i127hi1lo1.countLeadingZeros());
2090   EXPECT_EQ(126u, i127hi1lo1.getActiveBits());
2091   EXPECT_EQ(1u, i127hi1lo1.countTrailingZeros());
2092   EXPECT_EQ(0u, i127hi1lo1.countTrailingOnes());
2093   EXPECT_EQ(125u, i127hi1lo1.countPopulation());
2094 
2095   APInt i64hi1lo1wrap = APInt::getBitsSetWithWrap(64, 63, 1);
2096   EXPECT_EQ(1u, i64hi1lo1wrap.countLeadingOnes());
2097   EXPECT_EQ(0u, i64hi1lo1wrap.countLeadingZeros());
2098   EXPECT_EQ(64u, i64hi1lo1wrap.getActiveBits());
2099   EXPECT_EQ(0u, i64hi1lo1wrap.countTrailingZeros());
2100   EXPECT_EQ(1u, i64hi1lo1wrap.countTrailingOnes());
2101   EXPECT_EQ(2u, i64hi1lo1wrap.countPopulation());
2102 
2103   APInt i127hi1lo1wrap = APInt::getBitsSetWithWrap(127, 126, 1);
2104   EXPECT_EQ(1u, i127hi1lo1wrap.countLeadingOnes());
2105   EXPECT_EQ(0u, i127hi1lo1wrap.countLeadingZeros());
2106   EXPECT_EQ(127u, i127hi1lo1wrap.getActiveBits());
2107   EXPECT_EQ(0u, i127hi1lo1wrap.countTrailingZeros());
2108   EXPECT_EQ(1u, i127hi1lo1wrap.countTrailingOnes());
2109   EXPECT_EQ(2u, i127hi1lo1wrap.countPopulation());
2110 
2111   APInt i32hiequallowrap = APInt::getBitsSetWithWrap(32, 10, 10);
2112   EXPECT_EQ(32u, i32hiequallowrap.countLeadingOnes());
2113   EXPECT_EQ(0u, i32hiequallowrap.countLeadingZeros());
2114   EXPECT_EQ(32u, i32hiequallowrap.getActiveBits());
2115   EXPECT_EQ(0u, i32hiequallowrap.countTrailingZeros());
2116   EXPECT_EQ(32u, i32hiequallowrap.countTrailingOnes());
2117   EXPECT_EQ(32u, i32hiequallowrap.countPopulation());
2118 }
2119 
2120 TEST(APIntTest, getHighBitsSet) {
2121   APInt i64hi32 = APInt::getHighBitsSet(64, 32);
2122   EXPECT_EQ(32u, i64hi32.countLeadingOnes());
2123   EXPECT_EQ(0u, i64hi32.countLeadingZeros());
2124   EXPECT_EQ(64u, i64hi32.getActiveBits());
2125   EXPECT_EQ(32u, i64hi32.countTrailingZeros());
2126   EXPECT_EQ(0u, i64hi32.countTrailingOnes());
2127   EXPECT_EQ(32u, i64hi32.countPopulation());
2128 }
2129 
2130 TEST(APIntTest, getBitsSetFrom) {
2131   APInt i64hi31 = APInt::getBitsSetFrom(64, 33);
2132   EXPECT_EQ(31u, i64hi31.countLeadingOnes());
2133   EXPECT_EQ(0u, i64hi31.countLeadingZeros());
2134   EXPECT_EQ(64u, i64hi31.getActiveBits());
2135   EXPECT_EQ(33u, i64hi31.countTrailingZeros());
2136   EXPECT_EQ(0u, i64hi31.countTrailingOnes());
2137   EXPECT_EQ(31u, i64hi31.countPopulation());
2138 }
2139 
2140 TEST(APIntTest, setLowBits) {
2141   APInt i64lo32(64, 0);
2142   i64lo32.setLowBits(32);
2143   EXPECT_EQ(0u, i64lo32.countLeadingOnes());
2144   EXPECT_EQ(32u, i64lo32.countLeadingZeros());
2145   EXPECT_EQ(32u, i64lo32.getActiveBits());
2146   EXPECT_EQ(0u, i64lo32.countTrailingZeros());
2147   EXPECT_EQ(32u, i64lo32.countTrailingOnes());
2148   EXPECT_EQ(32u, i64lo32.countPopulation());
2149 
2150   APInt i128lo64(128, 0);
2151   i128lo64.setLowBits(64);
2152   EXPECT_EQ(0u, i128lo64.countLeadingOnes());
2153   EXPECT_EQ(64u, i128lo64.countLeadingZeros());
2154   EXPECT_EQ(64u, i128lo64.getActiveBits());
2155   EXPECT_EQ(0u, i128lo64.countTrailingZeros());
2156   EXPECT_EQ(64u, i128lo64.countTrailingOnes());
2157   EXPECT_EQ(64u, i128lo64.countPopulation());
2158 
2159   APInt i128lo24(128, 0);
2160   i128lo24.setLowBits(24);
2161   EXPECT_EQ(0u, i128lo24.countLeadingOnes());
2162   EXPECT_EQ(104u, i128lo24.countLeadingZeros());
2163   EXPECT_EQ(24u, i128lo24.getActiveBits());
2164   EXPECT_EQ(0u, i128lo24.countTrailingZeros());
2165   EXPECT_EQ(24u, i128lo24.countTrailingOnes());
2166   EXPECT_EQ(24u, i128lo24.countPopulation());
2167 
2168   APInt i128lo104(128, 0);
2169   i128lo104.setLowBits(104);
2170   EXPECT_EQ(0u, i128lo104.countLeadingOnes());
2171   EXPECT_EQ(24u, i128lo104.countLeadingZeros());
2172   EXPECT_EQ(104u, i128lo104.getActiveBits());
2173   EXPECT_EQ(0u, i128lo104.countTrailingZeros());
2174   EXPECT_EQ(104u, i128lo104.countTrailingOnes());
2175   EXPECT_EQ(104u, i128lo104.countPopulation());
2176 
2177   APInt i128lo0(128, 0);
2178   i128lo0.setLowBits(0);
2179   EXPECT_EQ(0u, i128lo0.countLeadingOnes());
2180   EXPECT_EQ(128u, i128lo0.countLeadingZeros());
2181   EXPECT_EQ(0u, i128lo0.getActiveBits());
2182   EXPECT_EQ(128u, i128lo0.countTrailingZeros());
2183   EXPECT_EQ(0u, i128lo0.countTrailingOnes());
2184   EXPECT_EQ(0u, i128lo0.countPopulation());
2185 
2186   APInt i80lo79(80, 0);
2187   i80lo79.setLowBits(79);
2188   EXPECT_EQ(0u, i80lo79.countLeadingOnes());
2189   EXPECT_EQ(1u, i80lo79.countLeadingZeros());
2190   EXPECT_EQ(79u, i80lo79.getActiveBits());
2191   EXPECT_EQ(0u, i80lo79.countTrailingZeros());
2192   EXPECT_EQ(79u, i80lo79.countTrailingOnes());
2193   EXPECT_EQ(79u, i80lo79.countPopulation());
2194 }
2195 
2196 TEST(APIntTest, setHighBits) {
2197   APInt i64hi32(64, 0);
2198   i64hi32.setHighBits(32);
2199   EXPECT_EQ(32u, i64hi32.countLeadingOnes());
2200   EXPECT_EQ(0u, i64hi32.countLeadingZeros());
2201   EXPECT_EQ(64u, i64hi32.getActiveBits());
2202   EXPECT_EQ(32u, i64hi32.countTrailingZeros());
2203   EXPECT_EQ(0u, i64hi32.countTrailingOnes());
2204   EXPECT_EQ(32u, i64hi32.countPopulation());
2205 
2206   APInt i128hi64(128, 0);
2207   i128hi64.setHighBits(64);
2208   EXPECT_EQ(64u, i128hi64.countLeadingOnes());
2209   EXPECT_EQ(0u, i128hi64.countLeadingZeros());
2210   EXPECT_EQ(128u, i128hi64.getActiveBits());
2211   EXPECT_EQ(64u, i128hi64.countTrailingZeros());
2212   EXPECT_EQ(0u, i128hi64.countTrailingOnes());
2213   EXPECT_EQ(64u, i128hi64.countPopulation());
2214 
2215   APInt i128hi24(128, 0);
2216   i128hi24.setHighBits(24);
2217   EXPECT_EQ(24u, i128hi24.countLeadingOnes());
2218   EXPECT_EQ(0u, i128hi24.countLeadingZeros());
2219   EXPECT_EQ(128u, i128hi24.getActiveBits());
2220   EXPECT_EQ(104u, i128hi24.countTrailingZeros());
2221   EXPECT_EQ(0u, i128hi24.countTrailingOnes());
2222   EXPECT_EQ(24u, i128hi24.countPopulation());
2223 
2224   APInt i128hi104(128, 0);
2225   i128hi104.setHighBits(104);
2226   EXPECT_EQ(104u, i128hi104.countLeadingOnes());
2227   EXPECT_EQ(0u, i128hi104.countLeadingZeros());
2228   EXPECT_EQ(128u, i128hi104.getActiveBits());
2229   EXPECT_EQ(24u, i128hi104.countTrailingZeros());
2230   EXPECT_EQ(0u, i128hi104.countTrailingOnes());
2231   EXPECT_EQ(104u, i128hi104.countPopulation());
2232 
2233   APInt i128hi0(128, 0);
2234   i128hi0.setHighBits(0);
2235   EXPECT_EQ(0u, i128hi0.countLeadingOnes());
2236   EXPECT_EQ(128u, i128hi0.countLeadingZeros());
2237   EXPECT_EQ(0u, i128hi0.getActiveBits());
2238   EXPECT_EQ(128u, i128hi0.countTrailingZeros());
2239   EXPECT_EQ(0u, i128hi0.countTrailingOnes());
2240   EXPECT_EQ(0u, i128hi0.countPopulation());
2241 
2242   APInt i80hi1(80, 0);
2243   i80hi1.setHighBits(1);
2244   EXPECT_EQ(1u, i80hi1.countLeadingOnes());
2245   EXPECT_EQ(0u, i80hi1.countLeadingZeros());
2246   EXPECT_EQ(80u, i80hi1.getActiveBits());
2247   EXPECT_EQ(79u, i80hi1.countTrailingZeros());
2248   EXPECT_EQ(0u, i80hi1.countTrailingOnes());
2249   EXPECT_EQ(1u, i80hi1.countPopulation());
2250 
2251   APInt i32hi16(32, 0);
2252   i32hi16.setHighBits(16);
2253   EXPECT_EQ(16u, i32hi16.countLeadingOnes());
2254   EXPECT_EQ(0u, i32hi16.countLeadingZeros());
2255   EXPECT_EQ(32u, i32hi16.getActiveBits());
2256   EXPECT_EQ(16u, i32hi16.countTrailingZeros());
2257   EXPECT_EQ(0u, i32hi16.countTrailingOnes());
2258   EXPECT_EQ(16u, i32hi16.countPopulation());
2259 }
2260 
2261 TEST(APIntTest, setBitsFrom) {
2262   APInt i64from63(64, 0);
2263   i64from63.setBitsFrom(63);
2264   EXPECT_EQ(1u, i64from63.countLeadingOnes());
2265   EXPECT_EQ(0u, i64from63.countLeadingZeros());
2266   EXPECT_EQ(64u, i64from63.getActiveBits());
2267   EXPECT_EQ(63u, i64from63.countTrailingZeros());
2268   EXPECT_EQ(0u, i64from63.countTrailingOnes());
2269   EXPECT_EQ(1u, i64from63.countPopulation());
2270 }
2271 
2272 TEST(APIntTest, setAllBits) {
2273   APInt i32(32, 0);
2274   i32.setAllBits();
2275   EXPECT_EQ(32u, i32.countLeadingOnes());
2276   EXPECT_EQ(0u, i32.countLeadingZeros());
2277   EXPECT_EQ(32u, i32.getActiveBits());
2278   EXPECT_EQ(0u, i32.countTrailingZeros());
2279   EXPECT_EQ(32u, i32.countTrailingOnes());
2280   EXPECT_EQ(32u, i32.countPopulation());
2281 
2282   APInt i64(64, 0);
2283   i64.setAllBits();
2284   EXPECT_EQ(64u, i64.countLeadingOnes());
2285   EXPECT_EQ(0u, i64.countLeadingZeros());
2286   EXPECT_EQ(64u, i64.getActiveBits());
2287   EXPECT_EQ(0u, i64.countTrailingZeros());
2288   EXPECT_EQ(64u, i64.countTrailingOnes());
2289   EXPECT_EQ(64u, i64.countPopulation());
2290 
2291   APInt i96(96, 0);
2292   i96.setAllBits();
2293   EXPECT_EQ(96u, i96.countLeadingOnes());
2294   EXPECT_EQ(0u, i96.countLeadingZeros());
2295   EXPECT_EQ(96u, i96.getActiveBits());
2296   EXPECT_EQ(0u, i96.countTrailingZeros());
2297   EXPECT_EQ(96u, i96.countTrailingOnes());
2298   EXPECT_EQ(96u, i96.countPopulation());
2299 
2300   APInt i128(128, 0);
2301   i128.setAllBits();
2302   EXPECT_EQ(128u, i128.countLeadingOnes());
2303   EXPECT_EQ(0u, i128.countLeadingZeros());
2304   EXPECT_EQ(128u, i128.getActiveBits());
2305   EXPECT_EQ(0u, i128.countTrailingZeros());
2306   EXPECT_EQ(128u, i128.countTrailingOnes());
2307   EXPECT_EQ(128u, i128.countPopulation());
2308 }
2309 
2310 TEST(APIntTest, getLoBits) {
2311   APInt i32(32, 0xfa);
2312   i32.setHighBits(1);
2313   EXPECT_EQ(0xa, i32.getLoBits(4));
2314   APInt i128(128, 0xfa);
2315   i128.setHighBits(1);
2316   EXPECT_EQ(0xa, i128.getLoBits(4));
2317 }
2318 
2319 TEST(APIntTest, getHiBits) {
2320   APInt i32(32, 0xfa);
2321   i32.setHighBits(2);
2322   EXPECT_EQ(0xc, i32.getHiBits(4));
2323   APInt i128(128, 0xfa);
2324   i128.setHighBits(2);
2325   EXPECT_EQ(0xc, i128.getHiBits(4));
2326 }
2327 
2328 TEST(APIntTest, clearLowBits) {
2329   APInt i64hi32 = APInt::getAllOnes(64);
2330   i64hi32.clearLowBits(32);
2331   EXPECT_EQ(32u, i64hi32.countLeadingOnes());
2332   EXPECT_EQ(0u, i64hi32.countLeadingZeros());
2333   EXPECT_EQ(64u, i64hi32.getActiveBits());
2334   EXPECT_EQ(32u, i64hi32.countTrailingZeros());
2335   EXPECT_EQ(0u, i64hi32.countTrailingOnes());
2336   EXPECT_EQ(32u, i64hi32.countPopulation());
2337 
2338   APInt i128hi64 = APInt::getAllOnes(128);
2339   i128hi64.clearLowBits(64);
2340   EXPECT_EQ(64u, i128hi64.countLeadingOnes());
2341   EXPECT_EQ(0u, i128hi64.countLeadingZeros());
2342   EXPECT_EQ(128u, i128hi64.getActiveBits());
2343   EXPECT_EQ(64u, i128hi64.countTrailingZeros());
2344   EXPECT_EQ(0u, i128hi64.countTrailingOnes());
2345   EXPECT_EQ(64u, i128hi64.countPopulation());
2346 
2347   APInt i128hi24 = APInt::getAllOnes(128);
2348   i128hi24.clearLowBits(104);
2349   EXPECT_EQ(24u, i128hi24.countLeadingOnes());
2350   EXPECT_EQ(0u, i128hi24.countLeadingZeros());
2351   EXPECT_EQ(128u, i128hi24.getActiveBits());
2352   EXPECT_EQ(104u, i128hi24.countTrailingZeros());
2353   EXPECT_EQ(0u, i128hi24.countTrailingOnes());
2354   EXPECT_EQ(24u, i128hi24.countPopulation());
2355 
2356   APInt i128hi104 = APInt::getAllOnes(128);
2357   i128hi104.clearLowBits(24);
2358   EXPECT_EQ(104u, i128hi104.countLeadingOnes());
2359   EXPECT_EQ(0u, i128hi104.countLeadingZeros());
2360   EXPECT_EQ(128u, i128hi104.getActiveBits());
2361   EXPECT_EQ(24u, i128hi104.countTrailingZeros());
2362   EXPECT_EQ(0u, i128hi104.countTrailingOnes());
2363   EXPECT_EQ(104u, i128hi104.countPopulation());
2364 
2365   APInt i128hi0 = APInt::getAllOnes(128);
2366   i128hi0.clearLowBits(128);
2367   EXPECT_EQ(0u, i128hi0.countLeadingOnes());
2368   EXPECT_EQ(128u, i128hi0.countLeadingZeros());
2369   EXPECT_EQ(0u, i128hi0.getActiveBits());
2370   EXPECT_EQ(128u, i128hi0.countTrailingZeros());
2371   EXPECT_EQ(0u, i128hi0.countTrailingOnes());
2372   EXPECT_EQ(0u, i128hi0.countPopulation());
2373 
2374   APInt i80hi1 = APInt::getAllOnes(80);
2375   i80hi1.clearLowBits(79);
2376   EXPECT_EQ(1u, i80hi1.countLeadingOnes());
2377   EXPECT_EQ(0u, i80hi1.countLeadingZeros());
2378   EXPECT_EQ(80u, i80hi1.getActiveBits());
2379   EXPECT_EQ(79u, i80hi1.countTrailingZeros());
2380   EXPECT_EQ(0u, i80hi1.countTrailingOnes());
2381   EXPECT_EQ(1u, i80hi1.countPopulation());
2382 
2383   APInt i32hi16 = APInt::getAllOnes(32);
2384   i32hi16.clearLowBits(16);
2385   EXPECT_EQ(16u, i32hi16.countLeadingOnes());
2386   EXPECT_EQ(0u, i32hi16.countLeadingZeros());
2387   EXPECT_EQ(32u, i32hi16.getActiveBits());
2388   EXPECT_EQ(16u, i32hi16.countTrailingZeros());
2389   EXPECT_EQ(0u, i32hi16.countTrailingOnes());
2390   EXPECT_EQ(16u, i32hi16.countPopulation());
2391 }
2392 
2393 TEST(APIntTest, GCD) {
2394   using APIntOps::GreatestCommonDivisor;
2395 
2396   for (unsigned Bits : {1, 2, 32, 63, 64, 65}) {
2397     // Test some corner cases near zero.
2398     APInt Zero(Bits, 0), One(Bits, 1);
2399     EXPECT_EQ(GreatestCommonDivisor(Zero, Zero), Zero);
2400     EXPECT_EQ(GreatestCommonDivisor(Zero, One), One);
2401     EXPECT_EQ(GreatestCommonDivisor(One, Zero), One);
2402     EXPECT_EQ(GreatestCommonDivisor(One, One), One);
2403 
2404     if (Bits > 1) {
2405       APInt Two(Bits, 2);
2406       EXPECT_EQ(GreatestCommonDivisor(Zero, Two), Two);
2407       EXPECT_EQ(GreatestCommonDivisor(One, Two), One);
2408       EXPECT_EQ(GreatestCommonDivisor(Two, Two), Two);
2409 
2410       // Test some corner cases near the highest representable value.
2411       APInt Max(Bits, 0);
2412       Max.setAllBits();
2413       EXPECT_EQ(GreatestCommonDivisor(Zero, Max), Max);
2414       EXPECT_EQ(GreatestCommonDivisor(One, Max), One);
2415       EXPECT_EQ(GreatestCommonDivisor(Two, Max), One);
2416       EXPECT_EQ(GreatestCommonDivisor(Max, Max), Max);
2417 
2418       APInt MaxOver2 = Max.udiv(Two);
2419       EXPECT_EQ(GreatestCommonDivisor(MaxOver2, Max), One);
2420       // Max - 1 == Max / 2 * 2, because Max is odd.
2421       EXPECT_EQ(GreatestCommonDivisor(MaxOver2, Max - 1), MaxOver2);
2422     }
2423   }
2424 
2425   // Compute the 20th Mersenne prime.
2426   const unsigned BitWidth = 4450;
2427   APInt HugePrime = APInt::getLowBitsSet(BitWidth, 4423);
2428 
2429   // 9931 and 123456 are coprime.
2430   APInt A = HugePrime * APInt(BitWidth, 9931);
2431   APInt B = HugePrime * APInt(BitWidth, 123456);
2432   APInt C = GreatestCommonDivisor(A, B);
2433   EXPECT_EQ(C, HugePrime);
2434 }
2435 
2436 TEST(APIntTest, LogicalRightShift) {
2437   APInt i256(APInt::getHighBitsSet(256, 2));
2438 
2439   i256.lshrInPlace(1);
2440   EXPECT_EQ(1U, i256.countLeadingZeros());
2441   EXPECT_EQ(253U, i256.countTrailingZeros());
2442   EXPECT_EQ(2U, i256.countPopulation());
2443 
2444   i256.lshrInPlace(62);
2445   EXPECT_EQ(63U, i256.countLeadingZeros());
2446   EXPECT_EQ(191U, i256.countTrailingZeros());
2447   EXPECT_EQ(2U, i256.countPopulation());
2448 
2449   i256.lshrInPlace(65);
2450   EXPECT_EQ(128U, i256.countLeadingZeros());
2451   EXPECT_EQ(126U, i256.countTrailingZeros());
2452   EXPECT_EQ(2U, i256.countPopulation());
2453 
2454   i256.lshrInPlace(64);
2455   EXPECT_EQ(192U, i256.countLeadingZeros());
2456   EXPECT_EQ(62U, i256.countTrailingZeros());
2457   EXPECT_EQ(2U, i256.countPopulation());
2458 
2459   i256.lshrInPlace(63);
2460   EXPECT_EQ(255U, i256.countLeadingZeros());
2461   EXPECT_EQ(0U, i256.countTrailingZeros());
2462   EXPECT_EQ(1U, i256.countPopulation());
2463 
2464   // Ensure we handle large shifts of multi-word.
2465   const APInt neg_one(128, static_cast<uint64_t>(-1), true);
2466   EXPECT_EQ(0, neg_one.lshr(128));
2467 }
2468 
2469 TEST(APIntTest, ArithmeticRightShift) {
2470   APInt i72(APInt::getHighBitsSet(72, 1));
2471   i72.ashrInPlace(46);
2472   EXPECT_EQ(47U, i72.countLeadingOnes());
2473   EXPECT_EQ(25U, i72.countTrailingZeros());
2474   EXPECT_EQ(47U, i72.countPopulation());
2475 
2476   i72 = APInt::getHighBitsSet(72, 1);
2477   i72.ashrInPlace(64);
2478   EXPECT_EQ(65U, i72.countLeadingOnes());
2479   EXPECT_EQ(7U, i72.countTrailingZeros());
2480   EXPECT_EQ(65U, i72.countPopulation());
2481 
2482   APInt i128(APInt::getHighBitsSet(128, 1));
2483   i128.ashrInPlace(64);
2484   EXPECT_EQ(65U, i128.countLeadingOnes());
2485   EXPECT_EQ(63U, i128.countTrailingZeros());
2486   EXPECT_EQ(65U, i128.countPopulation());
2487 
2488   // Ensure we handle large shifts of multi-word.
2489   const APInt signmin32(APInt::getSignedMinValue(32));
2490   EXPECT_TRUE(signmin32.ashr(32).isAllOnes());
2491 
2492   // Ensure we handle large shifts of multi-word.
2493   const APInt umax32(APInt::getSignedMaxValue(32));
2494   EXPECT_EQ(0, umax32.ashr(32));
2495 
2496   // Ensure we handle large shifts of multi-word.
2497   const APInt signmin128(APInt::getSignedMinValue(128));
2498   EXPECT_TRUE(signmin128.ashr(128).isAllOnes());
2499 
2500   // Ensure we handle large shifts of multi-word.
2501   const APInt umax128(APInt::getSignedMaxValue(128));
2502   EXPECT_EQ(0, umax128.ashr(128));
2503 }
2504 
2505 TEST(APIntTest, LeftShift) {
2506   APInt i256(APInt::getLowBitsSet(256, 2));
2507 
2508   i256 <<= 1;
2509   EXPECT_EQ(253U, i256.countLeadingZeros());
2510   EXPECT_EQ(1U, i256.countTrailingZeros());
2511   EXPECT_EQ(2U, i256.countPopulation());
2512 
2513   i256 <<= 62;
2514   EXPECT_EQ(191U, i256.countLeadingZeros());
2515   EXPECT_EQ(63U, i256.countTrailingZeros());
2516   EXPECT_EQ(2U, i256.countPopulation());
2517 
2518   i256 <<= 65;
2519   EXPECT_EQ(126U, i256.countLeadingZeros());
2520   EXPECT_EQ(128U, i256.countTrailingZeros());
2521   EXPECT_EQ(2U, i256.countPopulation());
2522 
2523   i256 <<= 64;
2524   EXPECT_EQ(62U, i256.countLeadingZeros());
2525   EXPECT_EQ(192U, i256.countTrailingZeros());
2526   EXPECT_EQ(2U, i256.countPopulation());
2527 
2528   i256 <<= 63;
2529   EXPECT_EQ(0U, i256.countLeadingZeros());
2530   EXPECT_EQ(255U, i256.countTrailingZeros());
2531   EXPECT_EQ(1U, i256.countPopulation());
2532 
2533   // Ensure we handle large shifts of multi-word.
2534   const APInt neg_one(128, static_cast<uint64_t>(-1), true);
2535   EXPECT_EQ(0, neg_one.shl(128));
2536 }
2537 
2538 TEST(APIntTest, isSubsetOf) {
2539   APInt i32_1(32, 1);
2540   APInt i32_2(32, 2);
2541   APInt i32_3(32, 3);
2542   EXPECT_FALSE(i32_3.isSubsetOf(i32_1));
2543   EXPECT_TRUE(i32_1.isSubsetOf(i32_3));
2544   EXPECT_FALSE(i32_2.isSubsetOf(i32_1));
2545   EXPECT_FALSE(i32_1.isSubsetOf(i32_2));
2546   EXPECT_TRUE(i32_3.isSubsetOf(i32_3));
2547 
2548   APInt i128_1(128, 1);
2549   APInt i128_2(128, 2);
2550   APInt i128_3(128, 3);
2551   EXPECT_FALSE(i128_3.isSubsetOf(i128_1));
2552   EXPECT_TRUE(i128_1.isSubsetOf(i128_3));
2553   EXPECT_FALSE(i128_2.isSubsetOf(i128_1));
2554   EXPECT_FALSE(i128_1.isSubsetOf(i128_2));
2555   EXPECT_TRUE(i128_3.isSubsetOf(i128_3));
2556 
2557   i128_1 <<= 64;
2558   i128_2 <<= 64;
2559   i128_3 <<= 64;
2560   EXPECT_FALSE(i128_3.isSubsetOf(i128_1));
2561   EXPECT_TRUE(i128_1.isSubsetOf(i128_3));
2562   EXPECT_FALSE(i128_2.isSubsetOf(i128_1));
2563   EXPECT_FALSE(i128_1.isSubsetOf(i128_2));
2564   EXPECT_TRUE(i128_3.isSubsetOf(i128_3));
2565 }
2566 
2567 TEST(APIntTest, sext) {
2568   EXPECT_EQ(0, APInt(1, 0).sext(64));
2569   EXPECT_EQ(~uint64_t(0), APInt(1, 1).sext(64));
2570 
2571   APInt i32_max(APInt::getSignedMaxValue(32).sext(63));
2572   EXPECT_EQ(32U, i32_max.countLeadingZeros());
2573   EXPECT_EQ(0U, i32_max.countTrailingZeros());
2574   EXPECT_EQ(31U, i32_max.countPopulation());
2575 
2576   APInt i32_min(APInt::getSignedMinValue(32).sext(63));
2577   EXPECT_EQ(32U, i32_min.countLeadingOnes());
2578   EXPECT_EQ(31U, i32_min.countTrailingZeros());
2579   EXPECT_EQ(32U, i32_min.countPopulation());
2580 
2581   APInt i32_neg1(APInt(32, ~uint64_t(0)).sext(63));
2582   EXPECT_EQ(63U, i32_neg1.countLeadingOnes());
2583   EXPECT_EQ(0U, i32_neg1.countTrailingZeros());
2584   EXPECT_EQ(63U, i32_neg1.countPopulation());
2585 }
2586 
2587 TEST(APIntTest, truncOrSelf) {
2588   APInt val(32, 0xFFFFFFFF);
2589   EXPECT_EQ(0xFFFF, val.truncOrSelf(16));
2590   EXPECT_EQ(0xFFFFFFFF, val.truncOrSelf(32));
2591   EXPECT_EQ(0xFFFFFFFF, val.truncOrSelf(64));
2592 }
2593 
2594 TEST(APIntTest, concat) {
2595   APInt Int1(4, 0x1ULL);
2596   APInt Int3(4, 0x3ULL);
2597 
2598   EXPECT_EQ(0x31, Int3.concat(Int1));
2599   EXPECT_EQ(APInt(12, 0x313), Int3.concat(Int1).concat(Int3));
2600   EXPECT_EQ(APInt(16, 0x3313), Int3.concat(Int3).concat(Int1).concat(Int3));
2601 
2602   APInt I64(64, 0x3ULL);
2603   EXPECT_EQ(I64, I64.concat(I64).lshr(64).trunc(64));
2604 
2605   APInt I65(65, 0x3ULL);
2606   APInt I0 = APInt::getZeroWidth();
2607   EXPECT_EQ(I65, I65.concat(I0));
2608   EXPECT_EQ(I65, I0.concat(I65));
2609 }
2610 
2611 TEST(APIntTest, multiply) {
2612   APInt i64(64, 1234);
2613 
2614   EXPECT_EQ(7006652, i64 * 5678);
2615   EXPECT_EQ(7006652, 5678 * i64);
2616 
2617   APInt i128 = APInt::getOneBitSet(128, 64);
2618   APInt i128_1234(128, 1234);
2619   i128_1234 <<= 64;
2620   EXPECT_EQ(i128_1234, i128 * 1234);
2621   EXPECT_EQ(i128_1234, 1234 * i128);
2622 
2623   APInt i96 = APInt::getOneBitSet(96, 64);
2624   i96 *= ~0ULL;
2625   EXPECT_EQ(32U, i96.countLeadingOnes());
2626   EXPECT_EQ(32U, i96.countPopulation());
2627   EXPECT_EQ(64U, i96.countTrailingZeros());
2628 }
2629 
2630 TEST(APIntTest, RoundingUDiv) {
2631   for (uint64_t Ai = 1; Ai <= 255; Ai++) {
2632     APInt A(8, Ai);
2633     APInt Zero(8, 0);
2634     EXPECT_EQ(0, APIntOps::RoundingUDiv(Zero, A, APInt::Rounding::UP));
2635     EXPECT_EQ(0, APIntOps::RoundingUDiv(Zero, A, APInt::Rounding::DOWN));
2636     EXPECT_EQ(0, APIntOps::RoundingUDiv(Zero, A, APInt::Rounding::TOWARD_ZERO));
2637 
2638     for (uint64_t Bi = 1; Bi <= 255; Bi++) {
2639       APInt B(8, Bi);
2640       {
2641         APInt Quo = APIntOps::RoundingUDiv(A, B, APInt::Rounding::UP);
2642         auto Prod = Quo.zext(16) * B.zext(16);
2643         EXPECT_TRUE(Prod.uge(Ai));
2644         if (Prod.ugt(Ai)) {
2645           EXPECT_TRUE(((Quo - 1).zext(16) * B.zext(16)).ult(Ai));
2646         }
2647       }
2648       {
2649         APInt Quo = A.udiv(B);
2650         EXPECT_EQ(Quo, APIntOps::RoundingUDiv(A, B, APInt::Rounding::TOWARD_ZERO));
2651         EXPECT_EQ(Quo, APIntOps::RoundingUDiv(A, B, APInt::Rounding::DOWN));
2652       }
2653     }
2654   }
2655 }
2656 
2657 TEST(APIntTest, RoundingSDiv) {
2658   for (int64_t Ai = -128; Ai <= 127; Ai++) {
2659     APInt A(8, Ai);
2660 
2661     if (Ai != 0) {
2662       APInt Zero(8, 0);
2663       EXPECT_EQ(0, APIntOps::RoundingSDiv(Zero, A, APInt::Rounding::UP));
2664       EXPECT_EQ(0, APIntOps::RoundingSDiv(Zero, A, APInt::Rounding::DOWN));
2665       EXPECT_EQ(0, APIntOps::RoundingSDiv(Zero, A, APInt::Rounding::TOWARD_ZERO));
2666     }
2667 
2668     for (int64_t Bi = -128; Bi <= 127; Bi++) {
2669       if (Bi == 0)
2670         continue;
2671 
2672       APInt B(8, Bi);
2673       APInt QuoTowardZero = A.sdiv(B);
2674       {
2675         APInt Quo = APIntOps::RoundingSDiv(A, B, APInt::Rounding::UP);
2676         if (A.srem(B).isNullValue()) {
2677           EXPECT_EQ(QuoTowardZero, Quo);
2678         } else if (A.isNegative() !=
2679                    B.isNegative()) { // if the math quotient is negative.
2680           EXPECT_EQ(QuoTowardZero, Quo);
2681         } else {
2682           EXPECT_EQ(QuoTowardZero + 1, Quo);
2683         }
2684       }
2685       {
2686         APInt Quo = APIntOps::RoundingSDiv(A, B, APInt::Rounding::DOWN);
2687         if (A.srem(B).isNullValue()) {
2688           EXPECT_EQ(QuoTowardZero, Quo);
2689         } else if (A.isNegative() !=
2690                    B.isNegative()) { // if the math quotient is negative.
2691           EXPECT_EQ(QuoTowardZero - 1, Quo);
2692         } else {
2693           EXPECT_EQ(QuoTowardZero, Quo);
2694         }
2695       }
2696       EXPECT_EQ(QuoTowardZero,
2697                 APIntOps::RoundingSDiv(A, B, APInt::Rounding::TOWARD_ZERO));
2698     }
2699   }
2700 }
2701 
2702 TEST(APIntTest, umul_ov) {
2703   const std::pair<uint64_t, uint64_t> Overflows[] = {
2704       {0x8000000000000000, 2},
2705       {0x5555555555555556, 3},
2706       {4294967296, 4294967296},
2707       {4294967295, 4294967298},
2708   };
2709   const std::pair<uint64_t, uint64_t> NonOverflows[] = {
2710       {0x7fffffffffffffff, 2},
2711       {0x5555555555555555, 3},
2712       {4294967295, 4294967297},
2713   };
2714 
2715   bool Overflow;
2716   for (auto &X : Overflows) {
2717     APInt A(64, X.first);
2718     APInt B(64, X.second);
2719     (void)A.umul_ov(B, Overflow);
2720     EXPECT_TRUE(Overflow);
2721   }
2722   for (auto &X : NonOverflows) {
2723     APInt A(64, X.first);
2724     APInt B(64, X.second);
2725     (void)A.umul_ov(B, Overflow);
2726     EXPECT_FALSE(Overflow);
2727   }
2728 
2729   for (unsigned Bits = 1; Bits <= 5; ++Bits)
2730     for (unsigned A = 0; A != 1u << Bits; ++A)
2731       for (unsigned B = 0; B != 1u << Bits; ++B) {
2732         APInt C = APInt(Bits, A).umul_ov(APInt(Bits, B), Overflow);
2733         APInt D = APInt(2 * Bits, A) * APInt(2 * Bits, B);
2734         EXPECT_TRUE(D.getHiBits(Bits).isNullValue() != Overflow);
2735       }
2736 }
2737 
2738 TEST(APIntTest, SolveQuadraticEquationWrap) {
2739   // Verify that "Solution" is the first non-negative integer that solves
2740   // Ax^2 + Bx + C = "0 or overflow", i.e. that it is a correct solution
2741   // as calculated by SolveQuadraticEquationWrap.
2742   auto Validate = [] (int A, int B, int C, unsigned Width, int Solution) {
2743     int Mask = (1 << Width) - 1;
2744 
2745     // Solution should be non-negative.
2746     EXPECT_GE(Solution, 0);
2747 
2748     auto OverflowBits = [] (int64_t V, unsigned W) {
2749       return V & -(1 << W);
2750     };
2751 
2752     int64_t Over0 = OverflowBits(C, Width);
2753 
2754     auto IsZeroOrOverflow = [&] (int X) {
2755       int64_t ValueAtX = A*X*X + B*X + C;
2756       int64_t OverX = OverflowBits(ValueAtX, Width);
2757       return (ValueAtX & Mask) == 0 || OverX != Over0;
2758     };
2759 
2760     auto EquationToString = [&] (const char *X_str) {
2761       return (Twine(A) + Twine(X_str) + Twine("^2 + ") + Twine(B) +
2762               Twine(X_str) + Twine(" + ") + Twine(C) + Twine(", bitwidth: ") +
2763               Twine(Width)).str();
2764     };
2765 
2766     auto IsSolution = [&] (const char *X_str, int X) {
2767       if (IsZeroOrOverflow(X))
2768         return ::testing::AssertionSuccess()
2769                   << X << " is a solution of " << EquationToString(X_str);
2770       return ::testing::AssertionFailure()
2771                 << X << " is not an expected solution of "
2772                 << EquationToString(X_str);
2773     };
2774 
2775     auto IsNotSolution = [&] (const char *X_str, int X) {
2776       if (!IsZeroOrOverflow(X))
2777         return ::testing::AssertionSuccess()
2778                   << X << " is not a solution of " << EquationToString(X_str);
2779       return ::testing::AssertionFailure()
2780                 << X << " is an unexpected solution of "
2781                 << EquationToString(X_str);
2782     };
2783 
2784     // This is the important part: make sure that there is no solution that
2785     // is less than the calculated one.
2786     if (Solution > 0) {
2787       for (int X = 1; X < Solution-1; ++X)
2788         EXPECT_PRED_FORMAT1(IsNotSolution, X);
2789     }
2790 
2791     // Verify that the calculated solution is indeed a solution.
2792     EXPECT_PRED_FORMAT1(IsSolution, Solution);
2793   };
2794 
2795   // Generate all possible quadratic equations with Width-bit wide integer
2796   // coefficients, get the solution from SolveQuadraticEquationWrap, and
2797   // verify that the solution is correct.
2798   auto Iterate = [&] (unsigned Width) {
2799     assert(1 < Width && Width < 32);
2800     int Low = -(1 << (Width-1));
2801     int High = (1 << (Width-1));
2802 
2803     for (int A = Low; A != High; ++A) {
2804       if (A == 0)
2805         continue;
2806       for (int B = Low; B != High; ++B) {
2807         for (int C = Low; C != High; ++C) {
2808           Optional<APInt> S = APIntOps::SolveQuadraticEquationWrap(
2809                                 APInt(Width, A), APInt(Width, B),
2810                                 APInt(Width, C), Width);
2811           if (S.hasValue())
2812             Validate(A, B, C, Width, S->getSExtValue());
2813         }
2814       }
2815     }
2816   };
2817 
2818   // Test all widths in [2..6].
2819   for (unsigned i = 2; i <= 6; ++i)
2820     Iterate(i);
2821 }
2822 
2823 TEST(APIntTest, MultiplicativeInverseExaustive) {
2824   for (unsigned BitWidth = 1; BitWidth <= 16; ++BitWidth) {
2825     for (unsigned Value = 0; Value < (1u << BitWidth); ++Value) {
2826       APInt V = APInt(BitWidth, Value);
2827       APInt MulInv =
2828           V.zext(BitWidth + 1)
2829               .multiplicativeInverse(APInt::getSignedMinValue(BitWidth + 1))
2830               .trunc(BitWidth);
2831       APInt One = V * MulInv;
2832       if (!V.isNullValue() && V.countTrailingZeros() == 0) {
2833         // Multiplicative inverse exists for all odd numbers.
2834         EXPECT_TRUE(One.isOneValue());
2835       } else {
2836         // Multiplicative inverse does not exist for even numbers (and 0).
2837         EXPECT_TRUE(MulInv.isNullValue());
2838       }
2839     }
2840   }
2841 }
2842 
2843 TEST(APIntTest, GetMostSignificantDifferentBit) {
2844   EXPECT_EQ(APIntOps::GetMostSignificantDifferentBit(APInt(8, 0), APInt(8, 0)),
2845             llvm::None);
2846   EXPECT_EQ(
2847       APIntOps::GetMostSignificantDifferentBit(APInt(8, 42), APInt(8, 42)),
2848       llvm::None);
2849   EXPECT_EQ(*APIntOps::GetMostSignificantDifferentBit(APInt(8, 0), APInt(8, 1)),
2850             0u);
2851   EXPECT_EQ(*APIntOps::GetMostSignificantDifferentBit(APInt(8, 0), APInt(8, 2)),
2852             1u);
2853   EXPECT_EQ(*APIntOps::GetMostSignificantDifferentBit(APInt(8, 0), APInt(8, 3)),
2854             1u);
2855   EXPECT_EQ(*APIntOps::GetMostSignificantDifferentBit(APInt(8, 1), APInt(8, 0)),
2856             0u);
2857   EXPECT_EQ(APIntOps::GetMostSignificantDifferentBit(APInt(8, 1), APInt(8, 1)),
2858             llvm::None);
2859   EXPECT_EQ(*APIntOps::GetMostSignificantDifferentBit(APInt(8, 1), APInt(8, 2)),
2860             1u);
2861   EXPECT_EQ(*APIntOps::GetMostSignificantDifferentBit(APInt(8, 1), APInt(8, 3)),
2862             1u);
2863   EXPECT_EQ(
2864       *APIntOps::GetMostSignificantDifferentBit(APInt(8, 42), APInt(8, 112)),
2865       6u);
2866 }
2867 
2868 TEST(APIntTest, GetMostSignificantDifferentBitExaustive) {
2869   auto GetHighestDifferentBitBruteforce =
2870       [](const APInt &V0, const APInt &V1) -> llvm::Optional<unsigned> {
2871     assert(V0.getBitWidth() == V1.getBitWidth() && "Must have same bitwidth");
2872     if (V0 == V1)
2873       return llvm::None; // Bitwise identical.
2874     // There is a mismatch. Let's find the most significant different bit.
2875     for (int Bit = V0.getBitWidth() - 1; Bit >= 0; --Bit) {
2876       if (V0[Bit] == V1[Bit])
2877         continue;
2878       return Bit;
2879     }
2880     llvm_unreachable("Must have found bit mismatch.");
2881   };
2882 
2883   for (unsigned BitWidth = 1; BitWidth <= 8; ++BitWidth) {
2884     for (unsigned V0 = 0; V0 < (1u << BitWidth); ++V0) {
2885       for (unsigned V1 = 0; V1 < (1u << BitWidth); ++V1) {
2886         APInt A = APInt(BitWidth, V0);
2887         APInt B = APInt(BitWidth, V1);
2888 
2889         auto Bit = APIntOps::GetMostSignificantDifferentBit(A, B);
2890         EXPECT_EQ(Bit, GetHighestDifferentBitBruteforce(A, B));
2891 
2892         if (!Bit.hasValue())
2893           EXPECT_EQ(A, B);
2894         else {
2895           EXPECT_NE(A, B);
2896           for (unsigned NumLowBits = 0; NumLowBits <= BitWidth; ++NumLowBits) {
2897             APInt Adash = A;
2898             Adash.clearLowBits(NumLowBits);
2899             APInt Bdash = B;
2900             Bdash.clearLowBits(NumLowBits);
2901             // Clearing only low bits up to and including *Bit is sufficient
2902             // to make values equal.
2903             if (NumLowBits >= 1 + *Bit)
2904               EXPECT_EQ(Adash, Bdash);
2905             else
2906               EXPECT_NE(Adash, Bdash);
2907           }
2908         }
2909       }
2910     }
2911   }
2912 }
2913 
2914 TEST(APIntTest, SignbitZeroChecks) {
2915   EXPECT_TRUE(APInt(8, -1).isNegative());
2916   EXPECT_FALSE(APInt(8, -1).isNonNegative());
2917   EXPECT_FALSE(APInt(8, -1).isStrictlyPositive());
2918   EXPECT_TRUE(APInt(8, -1).isNonPositive());
2919 
2920   EXPECT_FALSE(APInt(8, 0).isNegative());
2921   EXPECT_TRUE(APInt(8, 0).isNonNegative());
2922   EXPECT_FALSE(APInt(8, 0).isStrictlyPositive());
2923   EXPECT_TRUE(APInt(8, 0).isNonPositive());
2924 
2925   EXPECT_FALSE(APInt(8, 1).isNegative());
2926   EXPECT_TRUE(APInt(8, 1).isNonNegative());
2927   EXPECT_TRUE(APInt(8, 1).isStrictlyPositive());
2928   EXPECT_FALSE(APInt(8, 1).isNonPositive());
2929 }
2930 
2931 TEST(APIntTest, ZeroWidth) {
2932   // Zero width Constructors.
2933   auto ZW = APInt::getZeroWidth();
2934   EXPECT_EQ(0U, ZW.getBitWidth());
2935   EXPECT_EQ(0U, APInt(0, ArrayRef<uint64_t>({0, 1, 2})).getBitWidth());
2936   EXPECT_EQ(0U, APInt(0, "0", 10).getBitWidth());
2937 
2938   // Default constructor is single bit wide.
2939   EXPECT_EQ(1U, APInt().getBitWidth());
2940 
2941   // Copy ctor (move is down below).
2942   APInt ZW2(ZW);
2943   EXPECT_EQ(0U, ZW2.getBitWidth());
2944   // Assignment
2945   ZW = ZW2;
2946   EXPECT_EQ(0U, ZW.getBitWidth());
2947 
2948   // Methods like getLowBitsSet work with zero bits.
2949   EXPECT_EQ(0U, APInt::getLowBitsSet(0, 0).getBitWidth());
2950   EXPECT_EQ(0U, APInt::getSplat(0, ZW).getBitWidth());
2951 
2952   // Logical operators.
2953   ZW |= ZW2;
2954   ZW &= ZW2;
2955   ZW ^= ZW2;
2956   ZW |= 42; // These ignore high bits of the literal.
2957   ZW &= 42;
2958   ZW ^= 42;
2959   EXPECT_EQ(1, ZW.isIntN(0));
2960 
2961   // Modulo Arithmetic.  Divide/Rem aren't defined on division by zero, so they
2962   // aren't supported.
2963   ZW += ZW2;
2964   ZW -= ZW2;
2965   ZW *= ZW2;
2966 
2967   // Logical Shifts and rotates, the amount must be <= bitwidth.
2968   ZW <<= 0;
2969   ZW.lshrInPlace(0);
2970   (void)ZW.rotl(0);
2971   (void)ZW.rotr(0);
2972 
2973   // Comparisons.
2974   EXPECT_EQ(1, ZW == ZW);
2975   EXPECT_EQ(0, ZW != ZW);
2976   EXPECT_EQ(0, ZW.ult(ZW));
2977 
2978   // Mutations.
2979   ZW.setBitsWithWrap(0, 0);
2980   ZW.setBits(0, 0);
2981   ZW.clearAllBits();
2982   ZW.flipAllBits();
2983 
2984   // Leading, trailing, ctpop, etc
2985   EXPECT_EQ(0U, ZW.countLeadingZeros());
2986   EXPECT_EQ(0U, ZW.countLeadingOnes());
2987   EXPECT_EQ(0U, ZW.countPopulation());
2988   EXPECT_EQ(0U, ZW.reverseBits().getBitWidth());
2989   EXPECT_EQ(0U, ZW.getHiBits(0).getBitWidth());
2990   EXPECT_EQ(0U, ZW.getLoBits(0).getBitWidth());
2991   EXPECT_EQ(0, ZW.zext(4));
2992   EXPECT_EQ(0U, APInt(4, 3).trunc(0).getBitWidth());
2993 
2994   SmallString<42> STR;
2995   ZW.toStringUnsigned(STR);
2996   EXPECT_EQ("0", STR);
2997 
2998   // Move ctor (keep at the end of the method since moves are destructive).
2999   APInt MZW1(std::move(ZW));
3000   EXPECT_EQ(0U, MZW1.getBitWidth());
3001   // Move Assignment
3002   MZW1 = std::move(ZW2);
3003   EXPECT_EQ(0U, MZW1.getBitWidth());
3004 }
3005 
3006 TEST(APIntTest, ScaleBitMask) {
3007   EXPECT_EQ(APIntOps::ScaleBitMask(APInt(2, 0x00), 8), APInt(8, 0x00));
3008   EXPECT_EQ(APIntOps::ScaleBitMask(APInt(2, 0x01), 8), APInt(8, 0x0F));
3009   EXPECT_EQ(APIntOps::ScaleBitMask(APInt(2, 0x02), 8), APInt(8, 0xF0));
3010   EXPECT_EQ(APIntOps::ScaleBitMask(APInt(2, 0x03), 8), APInt(8, 0xFF));
3011 
3012   EXPECT_EQ(APIntOps::ScaleBitMask(APInt(8, 0x00), 4), APInt(4, 0x00));
3013   EXPECT_EQ(APIntOps::ScaleBitMask(APInt(8, 0xFF), 4), APInt(4, 0x0F));
3014   EXPECT_EQ(APIntOps::ScaleBitMask(APInt(8, 0xE4), 4), APInt(4, 0x0E));
3015 
3016   EXPECT_EQ(APIntOps::ScaleBitMask(APInt(8, 0x00), 8), APInt(8, 0x00));
3017 
3018   EXPECT_EQ(APIntOps::ScaleBitMask(APInt::getNullValue(1024), 4096),
3019             APInt::getNullValue(4096));
3020   EXPECT_EQ(APIntOps::ScaleBitMask(APInt::getAllOnes(4096), 256),
3021             APInt::getAllOnes(256));
3022   EXPECT_EQ(APIntOps::ScaleBitMask(APInt::getOneBitSet(4096, 32), 256),
3023             APInt::getOneBitSet(256, 2));
3024 }
3025 
3026 } // end anonymous namespace
3027