xref: /llvm-project/llvm/unittests/ADT/APIntTest.cpp (revision 30cc198c2d4ad784f18cc10a03d45a19145357af)
1 //===- llvm/unittest/ADT/APInt.cpp - APInt unit tests ---------------------===//
2 //
3 // Part of the LLVM Project, under the Apache License v2.0 with LLVM Exceptions.
4 // See https://llvm.org/LICENSE.txt for license information.
5 // SPDX-License-Identifier: Apache-2.0 WITH LLVM-exception
6 //
7 //===----------------------------------------------------------------------===//
8 
9 #include "llvm/ADT/APInt.h"
10 #include "llvm/ADT/ArrayRef.h"
11 #include "llvm/ADT/DenseMap.h"
12 #include "llvm/ADT/SmallString.h"
13 #include "llvm/ADT/Twine.h"
14 #include "llvm/Support/Alignment.h"
15 #include "gtest/gtest.h"
16 #include <array>
17 #include <climits>
18 #include <limits>
19 #include <optional>
20 
21 using namespace llvm;
22 
23 namespace {
24 
25 TEST(APIntTest, ValueInit) {
26   APInt Zero = APInt();
27   EXPECT_TRUE(!Zero);
28   EXPECT_TRUE(!Zero.zext(64));
29   EXPECT_TRUE(!Zero.sext(64));
30 }
31 
32 // Test that APInt shift left works when bitwidth > 64 and shiftamt == 0
33 TEST(APIntTest, ShiftLeftByZero) {
34   APInt One = APInt::getZero(65) + 1;
35   APInt Shl = One.shl(0);
36   EXPECT_TRUE(Shl[0]);
37   EXPECT_FALSE(Shl[1]);
38 }
39 
40 TEST(APIntTest, i64_ArithmeticRightShiftNegative) {
41   const APInt neg_one(64, static_cast<uint64_t>(-1), true);
42   EXPECT_EQ(neg_one, neg_one.ashr(7));
43 }
44 
45 TEST(APIntTest, i128_NegativeCount) {
46   APInt Minus3(128, static_cast<uint64_t>(-3), true);
47   EXPECT_EQ(126u, Minus3.countl_one());
48   EXPECT_EQ(-3, Minus3.getSExtValue());
49 
50   APInt Minus1(128, static_cast<uint64_t>(-1), true);
51   EXPECT_EQ(0u, Minus1.countl_zero());
52   EXPECT_EQ(128u, Minus1.countl_one());
53   EXPECT_EQ(128u, Minus1.getActiveBits());
54   EXPECT_EQ(0u, Minus1.countr_zero());
55   EXPECT_EQ(128u, Minus1.countr_one());
56   EXPECT_EQ(128u, Minus1.popcount());
57   EXPECT_EQ(-1, Minus1.getSExtValue());
58 }
59 
60 TEST(APIntTest, i33_Count) {
61   APInt i33minus2(33, static_cast<uint64_t>(-2), true);
62   EXPECT_EQ(0u, i33minus2.countl_zero());
63   EXPECT_EQ(32u, i33minus2.countl_one());
64   EXPECT_EQ(33u, i33minus2.getActiveBits());
65   EXPECT_EQ(1u, i33minus2.countr_zero());
66   EXPECT_EQ(32u, i33minus2.popcount());
67   EXPECT_EQ(-2, i33minus2.getSExtValue());
68   EXPECT_EQ(((uint64_t)-2)&((1ull<<33) -1), i33minus2.getZExtValue());
69 }
70 
71 TEST(APIntTest, i61_Count) {
72   APInt i61(61, 1 << 15);
73   EXPECT_EQ(45u, i61.countl_zero());
74   EXPECT_EQ(0u, i61.countl_one());
75   EXPECT_EQ(16u, i61.getActiveBits());
76   EXPECT_EQ(15u, i61.countr_zero());
77   EXPECT_EQ(1u, i61.popcount());
78   EXPECT_EQ(static_cast<int64_t>(1 << 15), i61.getSExtValue());
79   EXPECT_EQ(static_cast<uint64_t>(1 << 15), i61.getZExtValue());
80 
81   i61.setBits(8, 19);
82   EXPECT_EQ(42u, i61.countl_zero());
83   EXPECT_EQ(0u, i61.countl_one());
84   EXPECT_EQ(19u, i61.getActiveBits());
85   EXPECT_EQ(8u, i61.countr_zero());
86   EXPECT_EQ(11u, i61.popcount());
87   EXPECT_EQ(static_cast<int64_t>((1 << 19) - (1 << 8)), i61.getSExtValue());
88   EXPECT_EQ(static_cast<uint64_t>((1 << 19) - (1 << 8)), i61.getZExtValue());
89 }
90 
91 TEST(APIntTest, i65_Count) {
92   APInt i65(65, 0, true);
93   EXPECT_EQ(65u, i65.countl_zero());
94   EXPECT_EQ(0u, i65.countl_one());
95   EXPECT_EQ(0u, i65.getActiveBits());
96   EXPECT_EQ(1u, i65.getActiveWords());
97   EXPECT_EQ(65u, i65.countr_zero());
98   EXPECT_EQ(0u, i65.popcount());
99 
100   APInt i65minus(65, 0, true);
101   i65minus.setBit(64);
102   EXPECT_EQ(0u, i65minus.countl_zero());
103   EXPECT_EQ(1u, i65minus.countl_one());
104   EXPECT_EQ(65u, i65minus.getActiveBits());
105   EXPECT_EQ(64u, i65minus.countr_zero());
106   EXPECT_EQ(1u, i65minus.popcount());
107 }
108 
109 TEST(APIntTest, i128_PositiveCount) {
110   APInt u128max = APInt::getAllOnes(128);
111   EXPECT_EQ(128u, u128max.countl_one());
112   EXPECT_EQ(0u, u128max.countl_zero());
113   EXPECT_EQ(128u, u128max.getActiveBits());
114   EXPECT_EQ(0u, u128max.countr_zero());
115   EXPECT_EQ(128u, u128max.countr_one());
116   EXPECT_EQ(128u, u128max.popcount());
117 
118   APInt u64max(128, static_cast<uint64_t>(-1), false);
119   EXPECT_EQ(64u, u64max.countl_zero());
120   EXPECT_EQ(0u, u64max.countl_one());
121   EXPECT_EQ(64u, u64max.getActiveBits());
122   EXPECT_EQ(0u, u64max.countr_zero());
123   EXPECT_EQ(64u, u64max.countr_one());
124   EXPECT_EQ(64u, u64max.popcount());
125   EXPECT_EQ((uint64_t)~0ull, u64max.getZExtValue());
126 
127   APInt zero(128, 0, true);
128   EXPECT_EQ(128u, zero.countl_zero());
129   EXPECT_EQ(0u, zero.countl_one());
130   EXPECT_EQ(0u, zero.getActiveBits());
131   EXPECT_EQ(128u, zero.countr_zero());
132   EXPECT_EQ(0u, zero.countr_one());
133   EXPECT_EQ(0u, zero.popcount());
134   EXPECT_EQ(0u, zero.getSExtValue());
135   EXPECT_EQ(0u, zero.getZExtValue());
136 
137   APInt one(128, 1, true);
138   EXPECT_EQ(127u, one.countl_zero());
139   EXPECT_EQ(0u, one.countl_one());
140   EXPECT_EQ(1u, one.getActiveBits());
141   EXPECT_EQ(0u, one.countr_zero());
142   EXPECT_EQ(1u, one.countr_one());
143   EXPECT_EQ(1u, one.popcount());
144   EXPECT_EQ(1, one.getSExtValue());
145   EXPECT_EQ(1u, one.getZExtValue());
146 
147   APInt s128(128, 2, true);
148   EXPECT_EQ(126u, s128.countl_zero());
149   EXPECT_EQ(0u, s128.countl_one());
150   EXPECT_EQ(2u, s128.getActiveBits());
151   EXPECT_EQ(1u, s128.countr_zero());
152   EXPECT_EQ(0u, s128.countr_one());
153   EXPECT_EQ(1u, s128.popcount());
154   EXPECT_EQ(2, s128.getSExtValue());
155   EXPECT_EQ(2u, s128.getZExtValue());
156 
157   // NOP Test
158   s128.setBits(42, 42);
159   EXPECT_EQ(126u, s128.countl_zero());
160   EXPECT_EQ(0u, s128.countl_one());
161   EXPECT_EQ(2u, s128.getActiveBits());
162   EXPECT_EQ(1u, s128.countr_zero());
163   EXPECT_EQ(0u, s128.countr_one());
164   EXPECT_EQ(1u, s128.popcount());
165   EXPECT_EQ(2, s128.getSExtValue());
166   EXPECT_EQ(2u, s128.getZExtValue());
167 
168   s128.setBits(3, 32);
169   EXPECT_EQ(96u, s128.countl_zero());
170   EXPECT_EQ(0u, s128.countl_one());
171   EXPECT_EQ(32u, s128.getActiveBits());
172   EXPECT_EQ(33u, s128.getSignificantBits());
173   EXPECT_EQ(1u, s128.countr_zero());
174   EXPECT_EQ(0u, s128.countr_one());
175   EXPECT_EQ(30u, s128.popcount());
176   EXPECT_EQ(static_cast<uint32_t>((~0u << 3) | 2), s128.getZExtValue());
177 
178   s128.setBits(62, 128);
179   EXPECT_EQ(0u, s128.countl_zero());
180   EXPECT_EQ(66u, s128.countl_one());
181   EXPECT_EQ(128u, s128.getActiveBits());
182   EXPECT_EQ(63u, s128.getSignificantBits());
183   EXPECT_EQ(1u, s128.countr_zero());
184   EXPECT_EQ(0u, s128.countr_one());
185   EXPECT_EQ(96u, s128.popcount());
186   EXPECT_EQ(static_cast<int64_t>((3ull << 62) |
187                                  static_cast<uint32_t>((~0u << 3) | 2)),
188             s128.getSExtValue());
189 }
190 
191 TEST(APIntTest, i256) {
192   APInt s256(256, 15, true);
193   EXPECT_EQ(252u, s256.countl_zero());
194   EXPECT_EQ(0u, s256.countl_one());
195   EXPECT_EQ(4u, s256.getActiveBits());
196   EXPECT_EQ(0u, s256.countr_zero());
197   EXPECT_EQ(4u, s256.countr_one());
198   EXPECT_EQ(4u, s256.popcount());
199   EXPECT_EQ(15, s256.getSExtValue());
200   EXPECT_EQ(15u, s256.getZExtValue());
201 
202   s256.setBits(62, 66);
203   EXPECT_EQ(190u, s256.countl_zero());
204   EXPECT_EQ(0u, s256.countl_one());
205   EXPECT_EQ(66u, s256.getActiveBits());
206   EXPECT_EQ(67u, s256.getSignificantBits());
207   EXPECT_EQ(0u, s256.countr_zero());
208   EXPECT_EQ(4u, s256.countr_one());
209   EXPECT_EQ(8u, s256.popcount());
210 
211   s256.setBits(60, 256);
212   EXPECT_EQ(0u, s256.countl_zero());
213   EXPECT_EQ(196u, s256.countl_one());
214   EXPECT_EQ(256u, s256.getActiveBits());
215   EXPECT_EQ(61u, s256.getSignificantBits());
216   EXPECT_EQ(0u, s256.countr_zero());
217   EXPECT_EQ(4u, s256.countr_one());
218   EXPECT_EQ(200u, s256.popcount());
219   EXPECT_EQ(static_cast<int64_t>((~0ull << 60) | 15), s256.getSExtValue());
220 }
221 
222 TEST(APIntTest, i1) {
223   const APInt neg_two(1, static_cast<uint64_t>(-2), true,
224                       /*implicitTrunc=*/true);
225   const APInt neg_one(1, static_cast<uint64_t>(-1), true);
226   const APInt zero(1, 0);
227   const APInt one(1, 1);
228   const APInt two(1, 2, false, /*implicitTrunc=*/true);
229 
230   EXPECT_EQ(0, neg_two.getSExtValue());
231   EXPECT_EQ(-1, neg_one.getSExtValue());
232   EXPECT_EQ(1u, neg_one.getZExtValue());
233   EXPECT_EQ(0u, zero.getZExtValue());
234   EXPECT_EQ(-1, one.getSExtValue());
235   EXPECT_EQ(1u, one.getZExtValue());
236   EXPECT_EQ(0u, two.getZExtValue());
237   EXPECT_EQ(0, two.getSExtValue());
238 
239   // Basic equalities for 1-bit values.
240   EXPECT_EQ(zero, two);
241   EXPECT_EQ(zero, neg_two);
242   EXPECT_EQ(one, neg_one);
243   EXPECT_EQ(two, neg_two);
244 
245   // Min/max signed values.
246   EXPECT_TRUE(zero.isMaxSignedValue());
247   EXPECT_FALSE(one.isMaxSignedValue());
248   EXPECT_FALSE(zero.isMinSignedValue());
249   EXPECT_TRUE(one.isMinSignedValue());
250 
251   // Additions.
252   EXPECT_EQ(two, one + one);
253   EXPECT_EQ(zero, neg_one + one);
254   EXPECT_EQ(neg_two, neg_one + neg_one);
255 
256   // Subtractions.
257   EXPECT_EQ(neg_two, neg_one - one);
258   EXPECT_EQ(two, one - neg_one);
259   EXPECT_EQ(zero, one - one);
260 
261   // And
262   EXPECT_EQ(zero, zero & zero);
263   EXPECT_EQ(zero, one & zero);
264   EXPECT_EQ(zero, zero & one);
265   EXPECT_EQ(one, one & one);
266   EXPECT_EQ(zero, zero & zero);
267   EXPECT_EQ(zero, neg_one & zero);
268   EXPECT_EQ(zero, zero & neg_one);
269   EXPECT_EQ(neg_one, neg_one & neg_one);
270 
271   // Or
272   EXPECT_EQ(zero, zero | zero);
273   EXPECT_EQ(one, one | zero);
274   EXPECT_EQ(one, zero | one);
275   EXPECT_EQ(one, one | one);
276   EXPECT_EQ(zero, zero | zero);
277   EXPECT_EQ(neg_one, neg_one | zero);
278   EXPECT_EQ(neg_one, zero | neg_one);
279   EXPECT_EQ(neg_one, neg_one | neg_one);
280 
281   // Xor
282   EXPECT_EQ(zero, zero ^ zero);
283   EXPECT_EQ(one, one ^ zero);
284   EXPECT_EQ(one, zero ^ one);
285   EXPECT_EQ(zero, one ^ one);
286   EXPECT_EQ(zero, zero ^ zero);
287   EXPECT_EQ(neg_one, neg_one ^ zero);
288   EXPECT_EQ(neg_one, zero ^ neg_one);
289   EXPECT_EQ(zero, neg_one ^ neg_one);
290 
291   // Shifts.
292   EXPECT_EQ(zero, one << one);
293   EXPECT_EQ(one, one << zero);
294   EXPECT_EQ(zero, one.shl(1));
295   EXPECT_EQ(one, one.shl(0));
296   EXPECT_EQ(zero, one.lshr(1));
297   EXPECT_EQ(one, one.ashr(1));
298 
299   // Rotates.
300   EXPECT_EQ(one, one.rotl(0));
301   EXPECT_EQ(one, one.rotl(1));
302   EXPECT_EQ(one, one.rotr(0));
303   EXPECT_EQ(one, one.rotr(1));
304 
305   // Multiplies.
306   EXPECT_EQ(neg_one, neg_one * one);
307   EXPECT_EQ(neg_one, one * neg_one);
308   EXPECT_EQ(one, neg_one * neg_one);
309   EXPECT_EQ(one, one * one);
310 
311   // Divides.
312   EXPECT_EQ(neg_one, one.sdiv(neg_one));
313   EXPECT_EQ(neg_one, neg_one.sdiv(one));
314   EXPECT_EQ(one, neg_one.sdiv(neg_one));
315   EXPECT_EQ(one, one.sdiv(one));
316 
317   EXPECT_EQ(neg_one, one.udiv(neg_one));
318   EXPECT_EQ(neg_one, neg_one.udiv(one));
319   EXPECT_EQ(one, neg_one.udiv(neg_one));
320   EXPECT_EQ(one, one.udiv(one));
321 
322   // Remainders.
323   EXPECT_EQ(zero, neg_one.srem(one));
324   EXPECT_EQ(zero, neg_one.urem(one));
325   EXPECT_EQ(zero, one.srem(neg_one));
326 
327   // sdivrem
328   {
329   APInt q(8, 0);
330   APInt r(8, 0);
331   APInt one(8, 1);
332   APInt two(8, 2);
333   APInt nine(8, 9);
334   APInt four(8, 4);
335 
336   EXPECT_EQ(nine.srem(two), one);
337   EXPECT_EQ(nine.srem(-two), one);
338   EXPECT_EQ((-nine).srem(two), -one);
339   EXPECT_EQ((-nine).srem(-two), -one);
340 
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   APInt::sdivrem(nine, -two, q, r);
348   EXPECT_EQ(-four, q);
349   EXPECT_EQ(one, r);
350   APInt::sdivrem(-nine, -two, q, r);
351   EXPECT_EQ(four, q);
352   EXPECT_EQ(-one, r);
353   }
354 }
355 
356 TEST(APIntTest, compare) {
357   std::array<APInt, 5> testVals{{
358     APInt{16, 2},
359     APInt{16, 1},
360     APInt{16, 0},
361     APInt{16, (uint64_t)-1, true},
362     APInt{16, (uint64_t)-2, true},
363   }};
364 
365   for (auto &arg1 : testVals)
366     for (auto &arg2 : testVals) {
367       auto uv1 = arg1.getZExtValue();
368       auto uv2 = arg2.getZExtValue();
369       auto sv1 = arg1.getSExtValue();
370       auto sv2 = arg2.getSExtValue();
371 
372       EXPECT_EQ(uv1 <  uv2, arg1.ult(arg2));
373       EXPECT_EQ(uv1 <= uv2, arg1.ule(arg2));
374       EXPECT_EQ(uv1 >  uv2, arg1.ugt(arg2));
375       EXPECT_EQ(uv1 >= uv2, arg1.uge(arg2));
376 
377       EXPECT_EQ(sv1 <  sv2, arg1.slt(arg2));
378       EXPECT_EQ(sv1 <= sv2, arg1.sle(arg2));
379       EXPECT_EQ(sv1 >  sv2, arg1.sgt(arg2));
380       EXPECT_EQ(sv1 >= sv2, arg1.sge(arg2));
381 
382       EXPECT_EQ(uv1 <  uv2, arg1.ult(uv2));
383       EXPECT_EQ(uv1 <= uv2, arg1.ule(uv2));
384       EXPECT_EQ(uv1 >  uv2, arg1.ugt(uv2));
385       EXPECT_EQ(uv1 >= uv2, arg1.uge(uv2));
386 
387       EXPECT_EQ(sv1 <  sv2, arg1.slt(sv2));
388       EXPECT_EQ(sv1 <= sv2, arg1.sle(sv2));
389       EXPECT_EQ(sv1 >  sv2, arg1.sgt(sv2));
390       EXPECT_EQ(sv1 >= sv2, arg1.sge(sv2));
391     }
392 }
393 
394 TEST(APIntTest, compareWithRawIntegers) {
395   EXPECT_TRUE(!APInt(8, 1).uge(256));
396   EXPECT_TRUE(!APInt(8, 1).ugt(256));
397   EXPECT_TRUE( APInt(8, 1).ule(256));
398   EXPECT_TRUE( APInt(8, 1).ult(256));
399   EXPECT_TRUE(!APInt(8, 1).sge(256));
400   EXPECT_TRUE(!APInt(8, 1).sgt(256));
401   EXPECT_TRUE( APInt(8, 1).sle(256));
402   EXPECT_TRUE( APInt(8, 1).slt(256));
403   EXPECT_TRUE(!(APInt(8, 0) == 256));
404   EXPECT_TRUE(  APInt(8, 0) != 256);
405   EXPECT_TRUE(!(APInt(8, 1) == 256));
406   EXPECT_TRUE(  APInt(8, 1) != 256);
407 
408   auto uint64max = UINT64_MAX;
409   auto int64max  = INT64_MAX;
410   auto int64min  = INT64_MIN;
411 
412   auto u64 = APInt{128, uint64max};
413   auto s64 = APInt{128, static_cast<uint64_t>(int64max), true};
414   auto big = u64 + 1;
415 
416   EXPECT_TRUE( u64.uge(uint64max));
417   EXPECT_TRUE(!u64.ugt(uint64max));
418   EXPECT_TRUE( u64.ule(uint64max));
419   EXPECT_TRUE(!u64.ult(uint64max));
420   EXPECT_TRUE( u64.sge(int64max));
421   EXPECT_TRUE( u64.sgt(int64max));
422   EXPECT_TRUE(!u64.sle(int64max));
423   EXPECT_TRUE(!u64.slt(int64max));
424   EXPECT_TRUE( u64.sge(int64min));
425   EXPECT_TRUE( u64.sgt(int64min));
426   EXPECT_TRUE(!u64.sle(int64min));
427   EXPECT_TRUE(!u64.slt(int64min));
428 
429   EXPECT_TRUE(u64 == uint64max);
430   EXPECT_TRUE(u64 != int64max);
431   EXPECT_TRUE(u64 != int64min);
432 
433   EXPECT_TRUE(!s64.uge(uint64max));
434   EXPECT_TRUE(!s64.ugt(uint64max));
435   EXPECT_TRUE( s64.ule(uint64max));
436   EXPECT_TRUE( s64.ult(uint64max));
437   EXPECT_TRUE( s64.sge(int64max));
438   EXPECT_TRUE(!s64.sgt(int64max));
439   EXPECT_TRUE( s64.sle(int64max));
440   EXPECT_TRUE(!s64.slt(int64max));
441   EXPECT_TRUE( s64.sge(int64min));
442   EXPECT_TRUE( s64.sgt(int64min));
443   EXPECT_TRUE(!s64.sle(int64min));
444   EXPECT_TRUE(!s64.slt(int64min));
445 
446   EXPECT_TRUE(s64 != uint64max);
447   EXPECT_TRUE(s64 == int64max);
448   EXPECT_TRUE(s64 != int64min);
449 
450   EXPECT_TRUE( big.uge(uint64max));
451   EXPECT_TRUE( big.ugt(uint64max));
452   EXPECT_TRUE(!big.ule(uint64max));
453   EXPECT_TRUE(!big.ult(uint64max));
454   EXPECT_TRUE( big.sge(int64max));
455   EXPECT_TRUE( big.sgt(int64max));
456   EXPECT_TRUE(!big.sle(int64max));
457   EXPECT_TRUE(!big.slt(int64max));
458   EXPECT_TRUE( big.sge(int64min));
459   EXPECT_TRUE( big.sgt(int64min));
460   EXPECT_TRUE(!big.sle(int64min));
461   EXPECT_TRUE(!big.slt(int64min));
462 
463   EXPECT_TRUE(big != uint64max);
464   EXPECT_TRUE(big != int64max);
465   EXPECT_TRUE(big != int64min);
466 }
467 
468 TEST(APIntTest, compareWithInt64Min) {
469   int64_t edge = INT64_MIN;
470   int64_t edgeP1 = edge + 1;
471   int64_t edgeM1 = INT64_MAX;
472   auto a = APInt{64, static_cast<uint64_t>(edge), true};
473 
474   EXPECT_TRUE(!a.slt(edge));
475   EXPECT_TRUE( a.sle(edge));
476   EXPECT_TRUE(!a.sgt(edge));
477   EXPECT_TRUE( a.sge(edge));
478   EXPECT_TRUE( a.slt(edgeP1));
479   EXPECT_TRUE( a.sle(edgeP1));
480   EXPECT_TRUE(!a.sgt(edgeP1));
481   EXPECT_TRUE(!a.sge(edgeP1));
482   EXPECT_TRUE( a.slt(edgeM1));
483   EXPECT_TRUE( a.sle(edgeM1));
484   EXPECT_TRUE(!a.sgt(edgeM1));
485   EXPECT_TRUE(!a.sge(edgeM1));
486 }
487 
488 TEST(APIntTest, compareWithHalfInt64Max) {
489   uint64_t edge = 0x4000000000000000;
490   uint64_t edgeP1 = edge + 1;
491   uint64_t edgeM1 = edge - 1;
492   auto a = APInt{64, edge};
493 
494   EXPECT_TRUE(!a.ult(edge));
495   EXPECT_TRUE( a.ule(edge));
496   EXPECT_TRUE(!a.ugt(edge));
497   EXPECT_TRUE( a.uge(edge));
498   EXPECT_TRUE( a.ult(edgeP1));
499   EXPECT_TRUE( a.ule(edgeP1));
500   EXPECT_TRUE(!a.ugt(edgeP1));
501   EXPECT_TRUE(!a.uge(edgeP1));
502   EXPECT_TRUE(!a.ult(edgeM1));
503   EXPECT_TRUE(!a.ule(edgeM1));
504   EXPECT_TRUE( a.ugt(edgeM1));
505   EXPECT_TRUE( a.uge(edgeM1));
506 
507   EXPECT_TRUE(!a.slt(edge));
508   EXPECT_TRUE( a.sle(edge));
509   EXPECT_TRUE(!a.sgt(edge));
510   EXPECT_TRUE( a.sge(edge));
511   EXPECT_TRUE( a.slt(edgeP1));
512   EXPECT_TRUE( a.sle(edgeP1));
513   EXPECT_TRUE(!a.sgt(edgeP1));
514   EXPECT_TRUE(!a.sge(edgeP1));
515   EXPECT_TRUE(!a.slt(edgeM1));
516   EXPECT_TRUE(!a.sle(edgeM1));
517   EXPECT_TRUE( a.sgt(edgeM1));
518   EXPECT_TRUE( a.sge(edgeM1));
519 }
520 
521 TEST(APIntTest, compareLargeIntegers) {
522   // Make sure all the combinations of signed comparisons work with big ints.
523   auto One = APInt{128, static_cast<uint64_t>(1), true};
524   auto Two = APInt{128, static_cast<uint64_t>(2), true};
525   auto MinusOne = APInt{128, static_cast<uint64_t>(-1), true};
526   auto MinusTwo = APInt{128, static_cast<uint64_t>(-2), true};
527 
528   EXPECT_TRUE(!One.slt(One));
529   EXPECT_TRUE(!Two.slt(One));
530   EXPECT_TRUE(MinusOne.slt(One));
531   EXPECT_TRUE(MinusTwo.slt(One));
532 
533   EXPECT_TRUE(One.slt(Two));
534   EXPECT_TRUE(!Two.slt(Two));
535   EXPECT_TRUE(MinusOne.slt(Two));
536   EXPECT_TRUE(MinusTwo.slt(Two));
537 
538   EXPECT_TRUE(!One.slt(MinusOne));
539   EXPECT_TRUE(!Two.slt(MinusOne));
540   EXPECT_TRUE(!MinusOne.slt(MinusOne));
541   EXPECT_TRUE(MinusTwo.slt(MinusOne));
542 
543   EXPECT_TRUE(!One.slt(MinusTwo));
544   EXPECT_TRUE(!Two.slt(MinusTwo));
545   EXPECT_TRUE(!MinusOne.slt(MinusTwo));
546   EXPECT_TRUE(!MinusTwo.slt(MinusTwo));
547 }
548 
549 TEST(APIntTest, binaryOpsWithRawIntegers) {
550   // Single word check.
551   uint64_t E1 = 0x2CA7F46BF6569915ULL;
552   APInt A1(64, E1);
553 
554   EXPECT_EQ(A1 & E1, E1);
555   EXPECT_EQ(A1 & 0, 0);
556   EXPECT_EQ(A1 & 1, 1);
557   EXPECT_EQ(A1 & 5, 5);
558   EXPECT_EQ(A1 & UINT64_MAX, E1);
559 
560   EXPECT_EQ(A1 | E1, E1);
561   EXPECT_EQ(A1 | 0, E1);
562   EXPECT_EQ(A1 | 1, E1);
563   EXPECT_EQ(A1 | 2, E1 | 2);
564   EXPECT_EQ(A1 | UINT64_MAX, UINT64_MAX);
565 
566   EXPECT_EQ(A1 ^ E1, 0);
567   EXPECT_EQ(A1 ^ 0, E1);
568   EXPECT_EQ(A1 ^ 1, E1 ^ 1);
569   EXPECT_EQ(A1 ^ 7, E1 ^ 7);
570   EXPECT_EQ(A1 ^ UINT64_MAX, ~E1);
571 
572   // Multiword check.
573   uint64_t N = 0xEB6EB136591CBA21ULL;
574   APInt::WordType E2[4] = {
575     N,
576     0x7B9358BD6A33F10AULL,
577     0x7E7FFA5EADD8846ULL,
578     0x305F341CA00B613DULL
579   };
580   APInt A2(APInt::APINT_BITS_PER_WORD*4, E2);
581 
582   EXPECT_EQ(A2 & N, N);
583   EXPECT_EQ(A2 & 0, 0);
584   EXPECT_EQ(A2 & 1, 1);
585   EXPECT_EQ(A2 & 5, 1);
586   EXPECT_EQ(A2 & UINT64_MAX, N);
587 
588   EXPECT_EQ(A2 | N, A2);
589   EXPECT_EQ(A2 | 0, A2);
590   EXPECT_EQ(A2 | 1, A2);
591   EXPECT_EQ(A2 | 2, A2 + 2);
592   EXPECT_EQ(A2 | UINT64_MAX, A2 - N + UINT64_MAX);
593 
594   EXPECT_EQ(A2 ^ N, A2 - N);
595   EXPECT_EQ(A2 ^ 0, A2);
596   EXPECT_EQ(A2 ^ 1, A2 - 1);
597   EXPECT_EQ(A2 ^ 7, A2 + 5);
598   EXPECT_EQ(A2 ^ UINT64_MAX, A2 - N + ~N);
599 }
600 
601 TEST(APIntTest, rvalue_arithmetic) {
602   // Test all combinations of lvalue/rvalue lhs/rhs of add/sub
603 
604   // Lamdba to return an APInt by value, but also provide the raw value of the
605   // allocated data.
606   auto getRValue = [](const char *HexString, uint64_t const *&RawData) {
607     APInt V(129, HexString, 16);
608     RawData = V.getRawData();
609     return V;
610   };
611 
612   APInt One(129, "1", 16);
613   APInt Two(129, "2", 16);
614   APInt Three(129, "3", 16);
615   APInt MinusOne = -One;
616 
617   const uint64_t *RawDataL = nullptr;
618   const uint64_t *RawDataR = nullptr;
619 
620   {
621     // 1 + 1 = 2
622     APInt AddLL = One + One;
623     EXPECT_EQ(AddLL, Two);
624 
625     APInt AddLR = One + getRValue("1", RawDataR);
626     EXPECT_EQ(AddLR, Two);
627     EXPECT_EQ(AddLR.getRawData(), RawDataR);
628 
629     APInt AddRL = getRValue("1", RawDataL) + One;
630     EXPECT_EQ(AddRL, Two);
631     EXPECT_EQ(AddRL.getRawData(), RawDataL);
632 
633     APInt AddRR = getRValue("1", RawDataL) + getRValue("1", RawDataR);
634     EXPECT_EQ(AddRR, Two);
635     EXPECT_EQ(AddRR.getRawData(), RawDataR);
636 
637     // LValue's and constants
638     APInt AddLK = One + 1;
639     EXPECT_EQ(AddLK, Two);
640 
641     APInt AddKL = 1 + One;
642     EXPECT_EQ(AddKL, Two);
643 
644     // RValue's and constants
645     APInt AddRK = getRValue("1", RawDataL) + 1;
646     EXPECT_EQ(AddRK, Two);
647     EXPECT_EQ(AddRK.getRawData(), RawDataL);
648 
649     APInt AddKR = 1 + getRValue("1", RawDataR);
650     EXPECT_EQ(AddKR, Two);
651     EXPECT_EQ(AddKR.getRawData(), RawDataR);
652   }
653 
654   {
655     // 0x0,FFFF...FFFF + 0x2 = 0x100...0001
656     APInt AllOnes(129, "0FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF", 16);
657     APInt HighOneLowOne(129, "100000000000000000000000000000001", 16);
658 
659     APInt AddLL = AllOnes + Two;
660     EXPECT_EQ(AddLL, HighOneLowOne);
661 
662     APInt AddLR = AllOnes + getRValue("2", RawDataR);
663     EXPECT_EQ(AddLR, HighOneLowOne);
664     EXPECT_EQ(AddLR.getRawData(), RawDataR);
665 
666     APInt AddRL = getRValue("FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF", RawDataL) + Two;
667     EXPECT_EQ(AddRL, HighOneLowOne);
668     EXPECT_EQ(AddRL.getRawData(), RawDataL);
669 
670     APInt AddRR = getRValue("FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF", RawDataL) +
671                   getRValue("2", RawDataR);
672     EXPECT_EQ(AddRR, HighOneLowOne);
673     EXPECT_EQ(AddRR.getRawData(), RawDataR);
674 
675     // LValue's and constants
676     APInt AddLK = AllOnes + 2;
677     EXPECT_EQ(AddLK, HighOneLowOne);
678 
679     APInt AddKL = 2 + AllOnes;
680     EXPECT_EQ(AddKL, HighOneLowOne);
681 
682     // RValue's and constants
683     APInt AddRK = getRValue("FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF", RawDataL) + 2;
684     EXPECT_EQ(AddRK, HighOneLowOne);
685     EXPECT_EQ(AddRK.getRawData(), RawDataL);
686 
687     APInt AddKR = 2 + getRValue("FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF", RawDataR);
688     EXPECT_EQ(AddKR, HighOneLowOne);
689     EXPECT_EQ(AddKR.getRawData(), RawDataR);
690   }
691 
692   {
693     // 2 - 1 = 1
694     APInt SubLL = Two - One;
695     EXPECT_EQ(SubLL, One);
696 
697     APInt SubLR = Two - getRValue("1", RawDataR);
698     EXPECT_EQ(SubLR, One);
699     EXPECT_EQ(SubLR.getRawData(), RawDataR);
700 
701     APInt SubRL = getRValue("2", RawDataL) - One;
702     EXPECT_EQ(SubRL, One);
703     EXPECT_EQ(SubRL.getRawData(), RawDataL);
704 
705     APInt SubRR = getRValue("2", RawDataL) - getRValue("1", RawDataR);
706     EXPECT_EQ(SubRR, One);
707     EXPECT_EQ(SubRR.getRawData(), RawDataR);
708 
709     // LValue's and constants
710     APInt SubLK = Two - 1;
711     EXPECT_EQ(SubLK, One);
712 
713     APInt SubKL = 2 - One;
714     EXPECT_EQ(SubKL, One);
715 
716     // RValue's and constants
717     APInt SubRK = getRValue("2", RawDataL) - 1;
718     EXPECT_EQ(SubRK, One);
719     EXPECT_EQ(SubRK.getRawData(), RawDataL);
720 
721     APInt SubKR = 2 - getRValue("1", RawDataR);
722     EXPECT_EQ(SubKR, One);
723     EXPECT_EQ(SubKR.getRawData(), RawDataR);
724   }
725 
726   {
727     // 0x100...0001 - 0x0,FFFF...FFFF = 0x2
728     APInt AllOnes(129, "0FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF", 16);
729     APInt HighOneLowOne(129, "100000000000000000000000000000001", 16);
730 
731     APInt SubLL = HighOneLowOne - AllOnes;
732     EXPECT_EQ(SubLL, Two);
733 
734     APInt SubLR = HighOneLowOne -
735                   getRValue("0FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF", RawDataR);
736     EXPECT_EQ(SubLR, Two);
737     EXPECT_EQ(SubLR.getRawData(), RawDataR);
738 
739     APInt SubRL = getRValue("100000000000000000000000000000001", RawDataL) -
740                   AllOnes;
741     EXPECT_EQ(SubRL, Two);
742     EXPECT_EQ(SubRL.getRawData(), RawDataL);
743 
744     APInt SubRR = getRValue("100000000000000000000000000000001", RawDataL) -
745                   getRValue("0FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF", RawDataR);
746     EXPECT_EQ(SubRR, Two);
747     EXPECT_EQ(SubRR.getRawData(), RawDataR);
748 
749     // LValue's and constants
750     // 0x100...0001 - 0x2 = 0x0,FFFF...FFFF
751     APInt SubLK = HighOneLowOne - 2;
752     EXPECT_EQ(SubLK, AllOnes);
753 
754     // 2 - (-1) = 3
755     APInt SubKL = 2 - MinusOne;
756     EXPECT_EQ(SubKL, Three);
757 
758     // RValue's and constants
759     // 0x100...0001 - 0x2 = 0x0,FFFF...FFFF
760     APInt SubRK = getRValue("100000000000000000000000000000001", RawDataL) - 2;
761     EXPECT_EQ(SubRK, AllOnes);
762     EXPECT_EQ(SubRK.getRawData(), RawDataL);
763 
764     APInt SubKR = 2 - getRValue("1FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF", RawDataR);
765     EXPECT_EQ(SubKR, Three);
766     EXPECT_EQ(SubKR.getRawData(), RawDataR);
767   }
768 }
769 
770 TEST(APIntTest, rvalue_bitwise) {
771   // Test all combinations of lvalue/rvalue lhs/rhs of and/or/xor
772 
773   // Lamdba to return an APInt by value, but also provide the raw value of the
774   // allocated data.
775   auto getRValue = [](const char *HexString, uint64_t const *&RawData) {
776     APInt V(129, HexString, 16);
777     RawData = V.getRawData();
778     return V;
779   };
780 
781   APInt Ten(129, "A", 16);
782   APInt Twelve(129, "C", 16);
783 
784   const uint64_t *RawDataL = nullptr;
785   const uint64_t *RawDataR = nullptr;
786 
787   {
788     // 12 & 10 = 8
789     APInt AndLL = Ten & Twelve;
790     EXPECT_EQ(AndLL, 0x8);
791 
792     APInt AndLR = Ten & getRValue("C", RawDataR);
793     EXPECT_EQ(AndLR, 0x8);
794     EXPECT_EQ(AndLR.getRawData(), RawDataR);
795 
796     APInt AndRL = getRValue("A", RawDataL) & Twelve;
797     EXPECT_EQ(AndRL, 0x8);
798     EXPECT_EQ(AndRL.getRawData(), RawDataL);
799 
800     APInt AndRR = getRValue("A", RawDataL) & getRValue("C", RawDataR);
801     EXPECT_EQ(AndRR, 0x8);
802     EXPECT_EQ(AndRR.getRawData(), RawDataR);
803 
804     // LValue's and constants
805     APInt AndLK = Ten & 0xc;
806     EXPECT_EQ(AndLK, 0x8);
807 
808     APInt AndKL = 0xa & Twelve;
809     EXPECT_EQ(AndKL, 0x8);
810 
811     // RValue's and constants
812     APInt AndRK = getRValue("A", RawDataL) & 0xc;
813     EXPECT_EQ(AndRK, 0x8);
814     EXPECT_EQ(AndRK.getRawData(), RawDataL);
815 
816     APInt AndKR = 0xa & getRValue("C", RawDataR);
817     EXPECT_EQ(AndKR, 0x8);
818     EXPECT_EQ(AndKR.getRawData(), RawDataR);
819   }
820 
821   {
822     // 12 | 10 = 14
823     APInt OrLL = Ten | Twelve;
824     EXPECT_EQ(OrLL, 0xe);
825 
826     APInt OrLR = Ten | getRValue("C", RawDataR);
827     EXPECT_EQ(OrLR, 0xe);
828     EXPECT_EQ(OrLR.getRawData(), RawDataR);
829 
830     APInt OrRL = getRValue("A", RawDataL) | Twelve;
831     EXPECT_EQ(OrRL, 0xe);
832     EXPECT_EQ(OrRL.getRawData(), RawDataL);
833 
834     APInt OrRR = getRValue("A", RawDataL) | getRValue("C", RawDataR);
835     EXPECT_EQ(OrRR, 0xe);
836     EXPECT_EQ(OrRR.getRawData(), RawDataR);
837 
838     // LValue's and constants
839     APInt OrLK = Ten | 0xc;
840     EXPECT_EQ(OrLK, 0xe);
841 
842     APInt OrKL = 0xa | Twelve;
843     EXPECT_EQ(OrKL, 0xe);
844 
845     // RValue's and constants
846     APInt OrRK = getRValue("A", RawDataL) | 0xc;
847     EXPECT_EQ(OrRK, 0xe);
848     EXPECT_EQ(OrRK.getRawData(), RawDataL);
849 
850     APInt OrKR = 0xa | getRValue("C", RawDataR);
851     EXPECT_EQ(OrKR, 0xe);
852     EXPECT_EQ(OrKR.getRawData(), RawDataR);
853   }
854 
855   {
856     // 12 ^ 10 = 6
857     APInt XorLL = Ten ^ Twelve;
858     EXPECT_EQ(XorLL, 0x6);
859 
860     APInt XorLR = Ten ^ getRValue("C", RawDataR);
861     EXPECT_EQ(XorLR, 0x6);
862     EXPECT_EQ(XorLR.getRawData(), RawDataR);
863 
864     APInt XorRL = getRValue("A", RawDataL) ^ Twelve;
865     EXPECT_EQ(XorRL, 0x6);
866     EXPECT_EQ(XorRL.getRawData(), RawDataL);
867 
868     APInt XorRR = getRValue("A", RawDataL) ^ getRValue("C", RawDataR);
869     EXPECT_EQ(XorRR, 0x6);
870     EXPECT_EQ(XorRR.getRawData(), RawDataR);
871 
872     // LValue's and constants
873     APInt XorLK = Ten ^ 0xc;
874     EXPECT_EQ(XorLK, 0x6);
875 
876     APInt XorKL = 0xa ^ Twelve;
877     EXPECT_EQ(XorKL, 0x6);
878 
879     // RValue's and constants
880     APInt XorRK = getRValue("A", RawDataL) ^ 0xc;
881     EXPECT_EQ(XorRK, 0x6);
882     EXPECT_EQ(XorRK.getRawData(), RawDataL);
883 
884     APInt XorKR = 0xa ^ getRValue("C", RawDataR);
885     EXPECT_EQ(XorKR, 0x6);
886     EXPECT_EQ(XorKR.getRawData(), RawDataR);
887   }
888 }
889 
890 TEST(APIntTest, rvalue_invert) {
891   // Lamdba to return an APInt by value, but also provide the raw value of the
892   // allocated data.
893   auto getRValue = [](const char *HexString, uint64_t const *&RawData) {
894     APInt V(129, HexString, 16);
895     RawData = V.getRawData();
896     return V;
897   };
898 
899   APInt One(129, 1);
900   APInt NegativeTwo(129, -2ULL, true);
901 
902   const uint64_t *RawData = nullptr;
903 
904   {
905     // ~1 = -2
906     APInt NegL = ~One;
907     EXPECT_EQ(NegL, NegativeTwo);
908 
909     APInt NegR = ~getRValue("1", RawData);
910     EXPECT_EQ(NegR, NegativeTwo);
911     EXPECT_EQ(NegR.getRawData(), RawData);
912   }
913 }
914 
915 // Tests different div/rem varaints using scheme (a * b + c) / a
916 void testDiv(APInt a, APInt b, APInt c) {
917   ASSERT_TRUE(a.uge(b)); // Must: a >= b
918   ASSERT_TRUE(a.ugt(c)); // Must: a > c
919 
920   auto p = a * b + c;
921 
922   auto q = p.udiv(a);
923   auto r = p.urem(a);
924   EXPECT_EQ(b, q);
925   EXPECT_EQ(c, r);
926   APInt::udivrem(p, a, q, r);
927   EXPECT_EQ(b, q);
928   EXPECT_EQ(c, r);
929   q = p.sdiv(a);
930   r = p.srem(a);
931   EXPECT_EQ(b, q);
932   EXPECT_EQ(c, r);
933   APInt::sdivrem(p, a, q, r);
934   EXPECT_EQ(b, q);
935   EXPECT_EQ(c, r);
936 
937   if (b.ugt(c)) { // Test also symmetric case
938     q = p.udiv(b);
939     r = p.urem(b);
940     EXPECT_EQ(a, q);
941     EXPECT_EQ(c, r);
942     APInt::udivrem(p, b, q, r);
943     EXPECT_EQ(a, q);
944     EXPECT_EQ(c, r);
945     q = p.sdiv(b);
946     r = p.srem(b);
947     EXPECT_EQ(a, q);
948     EXPECT_EQ(c, r);
949     APInt::sdivrem(p, b, q, r);
950     EXPECT_EQ(a, q);
951     EXPECT_EQ(c, r);
952   }
953 }
954 
955 TEST(APIntTest, divrem_big1) {
956   // Tests KnuthDiv rare step D6
957   testDiv({256, "1ffffffffffffffff", 16},
958           {256, "1ffffffffffffffff", 16},
959           {256, 0});
960 }
961 
962 TEST(APIntTest, divrem_big2) {
963   // Tests KnuthDiv rare step D6
964   testDiv({1024,                       "112233ceff"
965                  "cecece000000ffffffffffffffffffff"
966                  "ffffffffffffffffffffffffffffffff"
967                  "ffffffffffffffffffffffffffffffff"
968                  "ffffffffffffffffffffffffffffff33", 16},
969           {1024,           "111111ffffffffffffffff"
970                  "ffffffffffffffffffffffffffffffff"
971                  "fffffffffffffffffffffffffffffccf"
972                  "ffffffffffffffffffffffffffffff00", 16},
973           {1024, 7919});
974 }
975 
976 TEST(APIntTest, divrem_big3) {
977   // Tests KnuthDiv case without shift
978   testDiv({256, "80000001ffffffffffffffff", 16},
979           {256, "ffffffffffffff0000000", 16},
980           {256, 4219});
981 }
982 
983 TEST(APIntTest, divrem_big4) {
984   // Tests heap allocation in divide() enfoced by huge numbers
985   testDiv(APInt{4096, 5}.shl(2001),
986           APInt{4096, 1}.shl(2000),
987           APInt{4096, 4219*13});
988 }
989 
990 TEST(APIntTest, divrem_big5) {
991   // Tests one word divisor case of divide()
992   testDiv(APInt{1024, 19}.shl(811),
993           APInt{1024, 4356013}, // one word
994           APInt{1024, 1});
995 }
996 
997 TEST(APIntTest, divrem_big6) {
998   // Tests some rare "borrow" cases in D4 step
999   testDiv(APInt{512, "ffffffffffffffff00000000000000000000000001", 16},
1000           APInt{512, "10000000000000001000000000000001", 16},
1001           APInt{512, "10000000000000000000000000000000", 16});
1002 }
1003 
1004 TEST(APIntTest, divrem_big7) {
1005   // Yet another test for KnuthDiv rare step D6.
1006   testDiv({224, "800000008000000200000005", 16},
1007           {224, "fffffffd", 16},
1008           {224, "80000000800000010000000f", 16});
1009 }
1010 
1011 void testDiv(APInt a, uint64_t b, APInt c) {
1012   auto p = a * b + c;
1013 
1014   APInt q;
1015   uint64_t r;
1016   // Unsigned division will only work if our original number wasn't negative.
1017   if (!a.isNegative()) {
1018     q = p.udiv(b);
1019     r = p.urem(b);
1020     EXPECT_EQ(a, q);
1021     EXPECT_EQ(c, r);
1022     APInt::udivrem(p, b, q, r);
1023     EXPECT_EQ(a, q);
1024     EXPECT_EQ(c, r);
1025   }
1026   q = p.sdiv(b);
1027   r = p.srem(b);
1028   EXPECT_EQ(a, q);
1029   if (c.isNegative())
1030     EXPECT_EQ(-c, -r); // Need to negate so the uint64_t compare will work.
1031   else
1032     EXPECT_EQ(c, r);
1033   int64_t sr;
1034   APInt::sdivrem(p, b, q, sr);
1035   EXPECT_EQ(a, q);
1036   if (c.isNegative())
1037     EXPECT_EQ(-c, -sr); // Need to negate so the uint64_t compare will work.
1038   else
1039     EXPECT_EQ(c, sr);
1040 }
1041 
1042 TEST(APIntTest, divremuint) {
1043   // Single word APInt
1044   testDiv(APInt{64, 9},
1045           2,
1046           APInt{64, 1});
1047 
1048   // Single word negative APInt
1049   testDiv(-APInt{64, 9},
1050           2,
1051           -APInt{64, 1});
1052 
1053   // Multiword dividend with only one significant word.
1054   testDiv(APInt{256, 9},
1055           2,
1056           APInt{256, 1});
1057 
1058   // Negative dividend.
1059   testDiv(-APInt{256, 9},
1060           2,
1061           -APInt{256, 1});
1062 
1063   // Multiword dividend
1064   testDiv(APInt{1024, 19}.shl(811),
1065           4356013, // one word
1066           APInt{1024, 1});
1067 }
1068 
1069 TEST(APIntTest, divrem_simple) {
1070   // Test simple cases.
1071   APInt A(65, 2), B(65, 2);
1072   APInt Q, R;
1073 
1074   // X / X
1075   APInt::sdivrem(A, B, Q, R);
1076   EXPECT_EQ(Q, APInt(65, 1));
1077   EXPECT_EQ(R, APInt(65, 0));
1078   APInt::udivrem(A, B, Q, R);
1079   EXPECT_EQ(Q, APInt(65, 1));
1080   EXPECT_EQ(R, APInt(65, 0));
1081 
1082   // 0 / X
1083   APInt O(65, 0);
1084   APInt::sdivrem(O, B, Q, R);
1085   EXPECT_EQ(Q, APInt(65, 0));
1086   EXPECT_EQ(R, APInt(65, 0));
1087   APInt::udivrem(O, B, Q, R);
1088   EXPECT_EQ(Q, APInt(65, 0));
1089   EXPECT_EQ(R, APInt(65, 0));
1090 
1091   // X / 1
1092   APInt I(65, 1);
1093   APInt::sdivrem(A, I, Q, R);
1094   EXPECT_EQ(Q, A);
1095   EXPECT_EQ(R, APInt(65, 0));
1096   APInt::udivrem(A, I, Q, R);
1097   EXPECT_EQ(Q, A);
1098   EXPECT_EQ(R, APInt(65, 0));
1099 }
1100 
1101 TEST(APIntTest, fromString) {
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, 0), APInt(32,   "+0", 2));
1109   EXPECT_EQ(APInt(32, 1), APInt(32,   "+1", 2));
1110   EXPECT_EQ(APInt(32, 2), APInt(32,  "+10", 2));
1111   EXPECT_EQ(APInt(32, 3), APInt(32,  "+11", 2));
1112   EXPECT_EQ(APInt(32, 4), APInt(32, "+100", 2));
1113 
1114   EXPECT_EQ(APInt(32, uint64_t(-0LL)), APInt(32,   "-0", 2));
1115   EXPECT_EQ(APInt(32, uint64_t(-1LL)), APInt(32,   "-1", 2));
1116   EXPECT_EQ(APInt(32, uint64_t(-2LL)), APInt(32,  "-10", 2));
1117   EXPECT_EQ(APInt(32, uint64_t(-3LL)), APInt(32,  "-11", 2));
1118   EXPECT_EQ(APInt(32, uint64_t(-4LL)), APInt(32, "-100", 2));
1119 
1120   EXPECT_EQ(APInt(32,  0), APInt(32,  "0",  8));
1121   EXPECT_EQ(APInt(32,  1), APInt(32,  "1",  8));
1122   EXPECT_EQ(APInt(32,  7), APInt(32,  "7",  8));
1123   EXPECT_EQ(APInt(32,  8), APInt(32,  "10", 8));
1124   EXPECT_EQ(APInt(32, 15), APInt(32,  "17", 8));
1125   EXPECT_EQ(APInt(32, 16), APInt(32,  "20", 8));
1126 
1127   EXPECT_EQ(APInt(32,  +0), APInt(32,  "+0",  8));
1128   EXPECT_EQ(APInt(32,  +1), APInt(32,  "+1",  8));
1129   EXPECT_EQ(APInt(32,  +7), APInt(32,  "+7",  8));
1130   EXPECT_EQ(APInt(32,  +8), APInt(32,  "+10", 8));
1131   EXPECT_EQ(APInt(32, +15), APInt(32,  "+17", 8));
1132   EXPECT_EQ(APInt(32, +16), APInt(32,  "+20", 8));
1133 
1134   EXPECT_EQ(APInt(32,  uint64_t(-0LL)), APInt(32,  "-0",  8));
1135   EXPECT_EQ(APInt(32,  uint64_t(-1LL)), APInt(32,  "-1",  8));
1136   EXPECT_EQ(APInt(32,  uint64_t(-7LL)), APInt(32,  "-7",  8));
1137   EXPECT_EQ(APInt(32,  uint64_t(-8LL)), APInt(32,  "-10", 8));
1138   EXPECT_EQ(APInt(32, uint64_t(-15LL)), APInt(32,  "-17", 8));
1139   EXPECT_EQ(APInt(32, uint64_t(-16LL)), APInt(32,  "-20", 8));
1140 
1141   EXPECT_EQ(APInt(32,  0), APInt(32,  "0", 10));
1142   EXPECT_EQ(APInt(32,  1), APInt(32,  "1", 10));
1143   EXPECT_EQ(APInt(32,  9), APInt(32,  "9", 10));
1144   EXPECT_EQ(APInt(32, 10), APInt(32, "10", 10));
1145   EXPECT_EQ(APInt(32, 19), APInt(32, "19", 10));
1146   EXPECT_EQ(APInt(32, 20), APInt(32, "20", 10));
1147 
1148   EXPECT_EQ(APInt(32,  uint64_t(-0LL)), APInt(32,  "-0", 10));
1149   EXPECT_EQ(APInt(32,  uint64_t(-1LL)), APInt(32,  "-1", 10));
1150   EXPECT_EQ(APInt(32,  uint64_t(-9LL)), APInt(32,  "-9", 10));
1151   EXPECT_EQ(APInt(32, uint64_t(-10LL)), APInt(32, "-10", 10));
1152   EXPECT_EQ(APInt(32, uint64_t(-19LL)), APInt(32, "-19", 10));
1153   EXPECT_EQ(APInt(32, uint64_t(-20LL)), APInt(32, "-20", 10));
1154 
1155   EXPECT_EQ(APInt(32,  0), APInt(32,  "0", 16));
1156   EXPECT_EQ(APInt(32,  1), APInt(32,  "1", 16));
1157   EXPECT_EQ(APInt(32, 15), APInt(32,  "F", 16));
1158   EXPECT_EQ(APInt(32, 16), APInt(32, "10", 16));
1159   EXPECT_EQ(APInt(32, 31), APInt(32, "1F", 16));
1160   EXPECT_EQ(APInt(32, 32), APInt(32, "20", 16));
1161 
1162   EXPECT_EQ(APInt(32,  uint64_t(-0LL)), APInt(32,  "-0", 16));
1163   EXPECT_EQ(APInt(32,  uint64_t(-1LL)), APInt(32,  "-1", 16));
1164   EXPECT_EQ(APInt(32, uint64_t(-15LL)), APInt(32,  "-F", 16));
1165   EXPECT_EQ(APInt(32, uint64_t(-16LL)), APInt(32, "-10", 16));
1166   EXPECT_EQ(APInt(32, uint64_t(-31LL)), APInt(32, "-1F", 16));
1167   EXPECT_EQ(APInt(32, uint64_t(-32LL)), APInt(32, "-20", 16));
1168 
1169   EXPECT_EQ(APInt(32,  0), APInt(32,  "0", 36));
1170   EXPECT_EQ(APInt(32,  1), APInt(32,  "1", 36));
1171   EXPECT_EQ(APInt(32, 35), APInt(32,  "Z", 36));
1172   EXPECT_EQ(APInt(32, 36), APInt(32, "10", 36));
1173   EXPECT_EQ(APInt(32, 71), APInt(32, "1Z", 36));
1174   EXPECT_EQ(APInt(32, 72), APInt(32, "20", 36));
1175 
1176   EXPECT_EQ(APInt(32,  uint64_t(-0LL)), APInt(32,  "-0", 36));
1177   EXPECT_EQ(APInt(32,  uint64_t(-1LL)), APInt(32,  "-1", 36));
1178   EXPECT_EQ(APInt(32, uint64_t(-35LL)), APInt(32,  "-Z", 36));
1179   EXPECT_EQ(APInt(32, uint64_t(-36LL)), APInt(32, "-10", 36));
1180   EXPECT_EQ(APInt(32, uint64_t(-71LL)), APInt(32, "-1Z", 36));
1181   EXPECT_EQ(APInt(32, uint64_t(-72LL)), APInt(32, "-20", 36));
1182 }
1183 
1184 TEST(APIntTest, SaturatingMath) {
1185   APInt AP_10 = APInt(8, 10);
1186   APInt AP_42 = APInt(8, 42);
1187   APInt AP_100 = APInt(8, 100);
1188   APInt AP_200 = APInt(8, 200);
1189 
1190   EXPECT_EQ(APInt(8, 100), AP_100.truncUSat(8));
1191   EXPECT_EQ(APInt(7, 100), AP_100.truncUSat(7));
1192   EXPECT_EQ(APInt(6, 63), AP_100.truncUSat(6));
1193   EXPECT_EQ(APInt(5, 31), AP_100.truncUSat(5));
1194 
1195   EXPECT_EQ(APInt(8, 200), AP_200.truncUSat(8));
1196   EXPECT_EQ(APInt(7, 127), AP_200.truncUSat(7));
1197   EXPECT_EQ(APInt(6, 63), AP_200.truncUSat(6));
1198   EXPECT_EQ(APInt(5, 31), AP_200.truncUSat(5));
1199 
1200   EXPECT_EQ(APInt(8, 42), AP_42.truncSSat(8));
1201   EXPECT_EQ(APInt(7, 42), AP_42.truncSSat(7));
1202   EXPECT_EQ(APInt(6, 31), AP_42.truncSSat(6));
1203   EXPECT_EQ(APInt(5, 15), AP_42.truncSSat(5));
1204 
1205   EXPECT_EQ(APInt(8, -56), AP_200.truncSSat(8));
1206   EXPECT_EQ(APInt(7, -56), AP_200.truncSSat(7));
1207   EXPECT_EQ(APInt(6, -32), AP_200.truncSSat(6));
1208   EXPECT_EQ(APInt(5, -16), AP_200.truncSSat(5));
1209 
1210   EXPECT_EQ(APInt(8, 200), AP_100.uadd_sat(AP_100));
1211   EXPECT_EQ(APInt(8, 255), AP_100.uadd_sat(AP_200));
1212   EXPECT_EQ(APInt(8, 255), APInt(8, 255).uadd_sat(APInt(8, 255)));
1213 
1214   EXPECT_EQ(APInt(8, 110), AP_10.sadd_sat(AP_100));
1215   EXPECT_EQ(APInt(8, 127), AP_100.sadd_sat(AP_100));
1216   EXPECT_EQ(APInt(8, -128), (-AP_100).sadd_sat(-AP_100));
1217   EXPECT_EQ(APInt(8, -128), APInt(8, -128).sadd_sat(APInt(8, -128)));
1218 
1219   EXPECT_EQ(APInt(8, 90), AP_100.usub_sat(AP_10));
1220   EXPECT_EQ(APInt(8, 0), AP_100.usub_sat(AP_200));
1221   EXPECT_EQ(APInt(8, 0), APInt(8, 0).usub_sat(APInt(8, 255)));
1222 
1223   EXPECT_EQ(APInt(8, -90), AP_10.ssub_sat(AP_100));
1224   EXPECT_EQ(APInt(8, 127), AP_100.ssub_sat(-AP_100));
1225   EXPECT_EQ(APInt(8, -128), (-AP_100).ssub_sat(AP_100));
1226   EXPECT_EQ(APInt(8, -128), APInt(8, -128).ssub_sat(APInt(8, 127)));
1227 
1228   EXPECT_EQ(APInt(8, 250), APInt(8, 50).umul_sat(APInt(8, 5)));
1229   EXPECT_EQ(APInt(8, 255), APInt(8, 50).umul_sat(APInt(8, 6)));
1230   EXPECT_EQ(APInt(8, 255), APInt(8, -128).umul_sat(APInt(8, 3)));
1231   EXPECT_EQ(APInt(8, 255), APInt(8, 3).umul_sat(APInt(8, -128)));
1232   EXPECT_EQ(APInt(8, 255), APInt(8, -128).umul_sat(APInt(8, -128)));
1233 
1234   EXPECT_EQ(APInt(8, 125), APInt(8, 25).smul_sat(APInt(8, 5)));
1235   EXPECT_EQ(APInt(8, 127), APInt(8, 25).smul_sat(APInt(8, 6)));
1236   EXPECT_EQ(APInt(8, 127), APInt(8, 127).smul_sat(APInt(8, 127)));
1237   EXPECT_EQ(APInt(8, -125), APInt(8, -25).smul_sat(APInt(8, 5)));
1238   EXPECT_EQ(APInt(8, -125), APInt(8, 25).smul_sat(APInt(8, -5)));
1239   EXPECT_EQ(APInt(8, 125), APInt(8, -25).smul_sat(APInt(8, -5)));
1240   EXPECT_EQ(APInt(8, 125), APInt(8, 25).smul_sat(APInt(8, 5)));
1241   EXPECT_EQ(APInt(8, -128), APInt(8, -25).smul_sat(APInt(8, 6)));
1242   EXPECT_EQ(APInt(8, -128), APInt(8, 25).smul_sat(APInt(8, -6)));
1243   EXPECT_EQ(APInt(8, 127), APInt(8, -25).smul_sat(APInt(8, -6)));
1244   EXPECT_EQ(APInt(8, 127), APInt(8, 25).smul_sat(APInt(8, 6)));
1245 
1246   EXPECT_EQ(APInt(8, 128), APInt(8, 4).ushl_sat(APInt(8, 5)));
1247   EXPECT_EQ(APInt(8, 255), APInt(8, 4).ushl_sat(APInt(8, 6)));
1248   EXPECT_EQ(APInt(8, 128), APInt(8, 1).ushl_sat(APInt(8, 7)));
1249   EXPECT_EQ(APInt(8, 255), APInt(8, 1).ushl_sat(APInt(8, 8)));
1250   EXPECT_EQ(APInt(8, 255), APInt(8, -128).ushl_sat(APInt(8, 2)));
1251   EXPECT_EQ(APInt(8, 255), APInt(8, 64).ushl_sat(APInt(8, 2)));
1252   EXPECT_EQ(APInt(8, 255), APInt(8, 64).ushl_sat(APInt(8, -2)));
1253 
1254   EXPECT_EQ(APInt(8, 64), APInt(8, 4).sshl_sat(APInt(8, 4)));
1255   EXPECT_EQ(APInt(8, 127), APInt(8, 4).sshl_sat(APInt(8, 5)));
1256   EXPECT_EQ(APInt(8, 127), APInt(8, 1).sshl_sat(APInt(8, 8)));
1257   EXPECT_EQ(APInt(8, -64), APInt(8, -4).sshl_sat(APInt(8, 4)));
1258   EXPECT_EQ(APInt(8, -128), APInt(8, -4).sshl_sat(APInt(8, 5)));
1259   EXPECT_EQ(APInt(8, -128), APInt(8, -4).sshl_sat(APInt(8, 6)));
1260   EXPECT_EQ(APInt(8, -128), APInt(8, -1).sshl_sat(APInt(8, 7)));
1261   EXPECT_EQ(APInt(8, -128), APInt(8, -1).sshl_sat(APInt(8, 8)));
1262 }
1263 
1264 TEST(APIntTest, FromArray) {
1265   EXPECT_EQ(APInt(32, uint64_t(1)), APInt(32, ArrayRef<uint64_t>(1)));
1266 }
1267 
1268 TEST(APIntTest, StringBitsNeeded2) {
1269   EXPECT_EQ(1U, APInt::getBitsNeeded(  "0", 2));
1270   EXPECT_EQ(1U, APInt::getBitsNeeded(  "1", 2));
1271   EXPECT_EQ(2U, APInt::getBitsNeeded( "10", 2));
1272   EXPECT_EQ(2U, APInt::getBitsNeeded( "11", 2));
1273   EXPECT_EQ(3U, APInt::getBitsNeeded("100", 2));
1274 
1275   EXPECT_EQ(1U, APInt::getBitsNeeded(  "+0", 2));
1276   EXPECT_EQ(1U, APInt::getBitsNeeded(  "+1", 2));
1277   EXPECT_EQ(2U, APInt::getBitsNeeded( "+10", 2));
1278   EXPECT_EQ(2U, APInt::getBitsNeeded( "+11", 2));
1279   EXPECT_EQ(3U, APInt::getBitsNeeded("+100", 2));
1280 
1281   EXPECT_EQ(2U, APInt::getBitsNeeded(  "-0", 2));
1282   EXPECT_EQ(2U, APInt::getBitsNeeded(  "-1", 2));
1283   EXPECT_EQ(3U, APInt::getBitsNeeded( "-10", 2));
1284   EXPECT_EQ(3U, APInt::getBitsNeeded( "-11", 2));
1285   EXPECT_EQ(4U, APInt::getBitsNeeded("-100", 2));
1286 }
1287 
1288 TEST(APIntTest, StringBitsNeeded8) {
1289   EXPECT_EQ(3U, APInt::getBitsNeeded( "0", 8));
1290   EXPECT_EQ(3U, APInt::getBitsNeeded( "7", 8));
1291   EXPECT_EQ(6U, APInt::getBitsNeeded("10", 8));
1292   EXPECT_EQ(6U, APInt::getBitsNeeded("17", 8));
1293   EXPECT_EQ(6U, APInt::getBitsNeeded("20", 8));
1294 
1295   EXPECT_EQ(3U, APInt::getBitsNeeded( "+0", 8));
1296   EXPECT_EQ(3U, APInt::getBitsNeeded( "+7", 8));
1297   EXPECT_EQ(6U, APInt::getBitsNeeded("+10", 8));
1298   EXPECT_EQ(6U, APInt::getBitsNeeded("+17", 8));
1299   EXPECT_EQ(6U, APInt::getBitsNeeded("+20", 8));
1300 
1301   EXPECT_EQ(4U, APInt::getBitsNeeded( "-0", 8));
1302   EXPECT_EQ(4U, APInt::getBitsNeeded( "-7", 8));
1303   EXPECT_EQ(7U, APInt::getBitsNeeded("-10", 8));
1304   EXPECT_EQ(7U, APInt::getBitsNeeded("-17", 8));
1305   EXPECT_EQ(7U, APInt::getBitsNeeded("-20", 8));
1306 }
1307 
1308 TEST(APIntTest, StringBitsNeeded10) {
1309   EXPECT_EQ(1U, APInt::getBitsNeeded( "0", 10));
1310   EXPECT_EQ(2U, APInt::getBitsNeeded( "3", 10));
1311   EXPECT_EQ(4U, APInt::getBitsNeeded( "9", 10));
1312   EXPECT_EQ(4U, APInt::getBitsNeeded("10", 10));
1313   EXPECT_EQ(5U, APInt::getBitsNeeded("19", 10));
1314   EXPECT_EQ(5U, APInt::getBitsNeeded("20", 10));
1315 
1316   EXPECT_EQ(1U, APInt::getBitsNeeded( "+0", 10));
1317   EXPECT_EQ(4U, APInt::getBitsNeeded( "+9", 10));
1318   EXPECT_EQ(4U, APInt::getBitsNeeded("+10", 10));
1319   EXPECT_EQ(5U, APInt::getBitsNeeded("+19", 10));
1320   EXPECT_EQ(5U, APInt::getBitsNeeded("+20", 10));
1321 
1322   EXPECT_EQ(2U, APInt::getBitsNeeded( "-0", 10));
1323   EXPECT_EQ(5U, APInt::getBitsNeeded( "-9", 10));
1324   EXPECT_EQ(5U, APInt::getBitsNeeded("-10", 10));
1325   EXPECT_EQ(6U, APInt::getBitsNeeded("-19", 10));
1326   EXPECT_EQ(6U, APInt::getBitsNeeded("-20", 10));
1327 
1328   EXPECT_EQ(1U, APInt::getBitsNeeded("-1", 10));
1329   EXPECT_EQ(2U, APInt::getBitsNeeded("-2", 10));
1330   EXPECT_EQ(3U, APInt::getBitsNeeded("-4", 10));
1331   EXPECT_EQ(4U, APInt::getBitsNeeded("-8", 10));
1332   EXPECT_EQ(5U, APInt::getBitsNeeded("-16", 10));
1333   EXPECT_EQ(6U, APInt::getBitsNeeded("-23", 10));
1334   EXPECT_EQ(6U, APInt::getBitsNeeded("-32", 10));
1335   EXPECT_EQ(7U, APInt::getBitsNeeded("-64", 10));
1336   EXPECT_EQ(8U, APInt::getBitsNeeded("-127", 10));
1337   EXPECT_EQ(8U, APInt::getBitsNeeded("-128", 10));
1338   EXPECT_EQ(9U, APInt::getBitsNeeded("-255", 10));
1339   EXPECT_EQ(9U, APInt::getBitsNeeded("-256", 10));
1340   EXPECT_EQ(10U, APInt::getBitsNeeded("-512", 10));
1341   EXPECT_EQ(11U, APInt::getBitsNeeded("-1024", 10));
1342   EXPECT_EQ(12U, APInt::getBitsNeeded("-1025", 10));
1343 }
1344 
1345 TEST(APIntTest, StringBitsNeeded16) {
1346   EXPECT_EQ(4U, APInt::getBitsNeeded( "0", 16));
1347   EXPECT_EQ(4U, APInt::getBitsNeeded( "F", 16));
1348   EXPECT_EQ(8U, APInt::getBitsNeeded("10", 16));
1349   EXPECT_EQ(8U, APInt::getBitsNeeded("1F", 16));
1350   EXPECT_EQ(8U, APInt::getBitsNeeded("20", 16));
1351 
1352   EXPECT_EQ(4U, APInt::getBitsNeeded( "+0", 16));
1353   EXPECT_EQ(4U, APInt::getBitsNeeded( "+F", 16));
1354   EXPECT_EQ(8U, APInt::getBitsNeeded("+10", 16));
1355   EXPECT_EQ(8U, APInt::getBitsNeeded("+1F", 16));
1356   EXPECT_EQ(8U, APInt::getBitsNeeded("+20", 16));
1357 
1358   EXPECT_EQ(5U, APInt::getBitsNeeded( "-0", 16));
1359   EXPECT_EQ(5U, APInt::getBitsNeeded( "-F", 16));
1360   EXPECT_EQ(9U, APInt::getBitsNeeded("-10", 16));
1361   EXPECT_EQ(9U, APInt::getBitsNeeded("-1F", 16));
1362   EXPECT_EQ(9U, APInt::getBitsNeeded("-20", 16));
1363 }
1364 
1365 TEST(APIntTest, toString) {
1366   SmallString<16> S;
1367   bool isSigned;
1368 
1369   APInt(8, 0).toString(S, 2, true, true);
1370   EXPECT_EQ(std::string(S), "0b0");
1371   S.clear();
1372   APInt(8, 0).toString(S, 8, true, true);
1373   EXPECT_EQ(std::string(S), "00");
1374   S.clear();
1375   APInt(8, 0).toString(S, 10, true, true);
1376   EXPECT_EQ(std::string(S), "0");
1377   S.clear();
1378   APInt(8, 0).toString(S, 16, true, true);
1379   EXPECT_EQ(std::string(S), "0x0");
1380   S.clear();
1381   APInt(8, 0).toString(S, 36, true, false);
1382   EXPECT_EQ(std::string(S), "0");
1383   S.clear();
1384 
1385   // with separators
1386   APInt(64, 140).toString(S, 2, false, true, false, true);
1387   EXPECT_EQ(std::string(S), "0b1000'1100");
1388   S.clear();
1389   APInt(64, 1024).toString(S, 8, false, true, false, true);
1390   EXPECT_EQ(std::string(S), "02'000");
1391   S.clear();
1392   APInt(64, 1000000).toString(S, 10, false, true, false, true);
1393   EXPECT_EQ(std::string(S), "1'000'000");
1394   S.clear();
1395   APInt(64, 1000000).toString(S, 16, false, true, true, true);
1396   EXPECT_EQ(std::string(S), "0xF'4240");
1397   S.clear();
1398   APInt(64, 1'000'000'000).toString(S, 36, false, false, false, true);
1399   EXPECT_EQ(std::string(S), "gj'dgxs");
1400   S.clear();
1401 
1402   isSigned = false;
1403   APInt(8, 255, isSigned).toString(S, 2, isSigned, true);
1404   EXPECT_EQ(std::string(S), "0b11111111");
1405   S.clear();
1406   APInt(8, 255, isSigned).toString(S, 8, isSigned, true);
1407   EXPECT_EQ(std::string(S), "0377");
1408   S.clear();
1409   APInt(8, 255, isSigned).toString(S, 10, isSigned, true);
1410   EXPECT_EQ(std::string(S), "255");
1411   S.clear();
1412   APInt(8, 255, isSigned).toString(S, 16, isSigned, true, /*UpperCase=*/false);
1413   EXPECT_EQ(std::string(S), "0xff");
1414   S.clear();
1415   APInt(8, 255, isSigned).toString(S, 16, isSigned, true);
1416   EXPECT_EQ(std::string(S), "0xFF");
1417   S.clear();
1418   APInt(8, 255, isSigned).toString(S, 36, isSigned, false);
1419   EXPECT_EQ(std::string(S), "73");
1420   S.clear();
1421 
1422   isSigned = true;
1423   APInt(8, 255, isSigned).toString(S, 2, isSigned, true);
1424   EXPECT_EQ(std::string(S), "-0b1");
1425   S.clear();
1426   APInt(8, 255, isSigned).toString(S, 8, isSigned, true);
1427   EXPECT_EQ(std::string(S), "-01");
1428   S.clear();
1429   APInt(8, 255, isSigned).toString(S, 10, isSigned, true);
1430   EXPECT_EQ(std::string(S), "-1");
1431   S.clear();
1432   APInt(8, 255, isSigned).toString(S, 16, isSigned, true);
1433   EXPECT_EQ(std::string(S), "-0x1");
1434   S.clear();
1435   APInt(8, 255, isSigned).toString(S, 36, isSigned, false);
1436   EXPECT_EQ(std::string(S), "-1");
1437   S.clear();
1438 
1439   // negative with separators
1440   APInt(64, -140, isSigned).toString(S, 2, isSigned, true, false, true);
1441   EXPECT_EQ(std::string(S), "-0b1000'1100");
1442   S.clear();
1443   APInt(64, -1024, isSigned).toString(S, 8, isSigned, true, false, true);
1444   EXPECT_EQ(std::string(S), "-02'000");
1445   S.clear();
1446   APInt(64, -1000000, isSigned).toString(S, 10, isSigned, true, false, true);
1447   EXPECT_EQ(std::string(S), "-1'000'000");
1448   S.clear();
1449   APInt(64, -1000000, isSigned).toString(S, 16, isSigned, true, true, true);
1450   EXPECT_EQ(std::string(S), "-0xF'4240");
1451   S.clear();
1452   APInt(64, -1'000'000'000, isSigned)
1453       .toString(S, 36, isSigned, false, false, true);
1454   EXPECT_EQ(std::string(S), "-gj'dgxs");
1455   S.clear();
1456 }
1457 
1458 TEST(APIntTest, Log2) {
1459   EXPECT_EQ(APInt(15, 7).logBase2(), 2U);
1460   EXPECT_EQ(APInt(15, 7).ceilLogBase2(), 3U);
1461   EXPECT_EQ(APInt(15, 7).exactLogBase2(), -1);
1462   EXPECT_EQ(APInt(15, 8).logBase2(), 3U);
1463   EXPECT_EQ(APInt(15, 8).ceilLogBase2(), 3U);
1464   EXPECT_EQ(APInt(15, 8).exactLogBase2(), 3);
1465   EXPECT_EQ(APInt(15, 9).logBase2(), 3U);
1466   EXPECT_EQ(APInt(15, 9).ceilLogBase2(), 4U);
1467   EXPECT_EQ(APInt(15, 9).exactLogBase2(), -1);
1468 }
1469 
1470 #ifdef GTEST_HAS_DEATH_TEST
1471 #ifndef NDEBUG
1472 TEST(APIntTest, StringDeath) {
1473   EXPECT_DEATH((void)APInt(32, "", 0), "Invalid string length");
1474   EXPECT_DEATH((void)APInt(32, "0", 0), "Radix should be 2, 8, 10, 16, or 36!");
1475   EXPECT_DEATH((void)APInt(32, "", 10), "Invalid string length");
1476   EXPECT_DEATH((void)APInt(32, "-", 10), "String is only a sign, needs a value.");
1477   EXPECT_DEATH((void)APInt(1, "1234", 10), "Insufficient bit width");
1478   EXPECT_DEATH((void)APInt(32, "\0", 10), "Invalid string length");
1479   EXPECT_DEATH((void)APInt(32, StringRef("1\02", 3), 10), "Invalid character in digit string");
1480   EXPECT_DEATH((void)APInt(32, "1L", 10), "Invalid character in digit string");
1481 }
1482 #endif
1483 #endif
1484 
1485 TEST(APIntTest, mul_clear) {
1486   APInt ValA(65, -1ULL);
1487   APInt ValB(65, 4);
1488   APInt ValC(65, 0);
1489   ValC = ValA * ValB;
1490   ValA *= ValB;
1491   SmallString<16> StrA, StrC;
1492   ValA.toString(StrA, 10, false);
1493   ValC.toString(StrC, 10, false);
1494   EXPECT_EQ(std::string(StrA), std::string(StrC));
1495 }
1496 
1497 TEST(APIntTest, Rotate) {
1498   EXPECT_EQ(APInt(8, 1),  APInt(8, 1).rotl(0));
1499   EXPECT_EQ(APInt(8, 2),  APInt(8, 1).rotl(1));
1500   EXPECT_EQ(APInt(8, 4),  APInt(8, 1).rotl(2));
1501   EXPECT_EQ(APInt(8, 16), APInt(8, 1).rotl(4));
1502   EXPECT_EQ(APInt(8, 1),  APInt(8, 1).rotl(8));
1503 
1504   EXPECT_EQ(APInt(8, 16), APInt(8, 16).rotl(0));
1505   EXPECT_EQ(APInt(8, 32), APInt(8, 16).rotl(1));
1506   EXPECT_EQ(APInt(8, 64), APInt(8, 16).rotl(2));
1507   EXPECT_EQ(APInt(8, 1),  APInt(8, 16).rotl(4));
1508   EXPECT_EQ(APInt(8, 16), APInt(8, 16).rotl(8));
1509 
1510   EXPECT_EQ(APInt(32, 2), APInt(32, 1).rotl(33));
1511   EXPECT_EQ(APInt(32, 2), APInt(32, 1).rotl(APInt(32, 33)));
1512 
1513   EXPECT_EQ(APInt(32, 2), APInt(32, 1).rotl(33));
1514   EXPECT_EQ(APInt(32, 2), APInt(32, 1).rotl(APInt(32, 33)));
1515   EXPECT_EQ(APInt(32, 2), APInt(32, 1).rotl(APInt(33, 33)));
1516   EXPECT_EQ(APInt(32, (1 << 8)), APInt(32, 1).rotl(APInt(32, 40)));
1517   EXPECT_EQ(APInt(32, (1 << 30)), APInt(32, 1).rotl(APInt(31, 30)));
1518   EXPECT_EQ(APInt(32, (1 << 31)), APInt(32, 1).rotl(APInt(31, 31)));
1519 
1520   EXPECT_EQ(APInt(32, 1), APInt(32, 1).rotl(APInt(1, 0)));
1521   EXPECT_EQ(APInt(32, 2), APInt(32, 1).rotl(APInt(1, 1)));
1522 
1523   EXPECT_EQ(APInt(32, 16), APInt(32, 1).rotl(APInt(3, 4)));
1524 
1525   EXPECT_EQ(APInt(32, 1), APInt(32, 1).rotl(APInt(64, 64)));
1526   EXPECT_EQ(APInt(32, 2), APInt(32, 1).rotl(APInt(64, 65)));
1527 
1528   EXPECT_EQ(APInt(7, 24), APInt(7, 3).rotl(APInt(7, 3)));
1529   EXPECT_EQ(APInt(7, 24), APInt(7, 3).rotl(APInt(7, 10)));
1530   EXPECT_EQ(APInt(7, 24), APInt(7, 3).rotl(APInt(5, 10)));
1531   EXPECT_EQ(APInt(7, 6), APInt(7, 3).rotl(APInt(12, 120)));
1532 
1533   EXPECT_EQ(APInt(8, 16), APInt(8, 16).rotr(0));
1534   EXPECT_EQ(APInt(8, 8),  APInt(8, 16).rotr(1));
1535   EXPECT_EQ(APInt(8, 4),  APInt(8, 16).rotr(2));
1536   EXPECT_EQ(APInt(8, 1),  APInt(8, 16).rotr(4));
1537   EXPECT_EQ(APInt(8, 16), APInt(8, 16).rotr(8));
1538 
1539   EXPECT_EQ(APInt(8, 1),   APInt(8, 1).rotr(0));
1540   EXPECT_EQ(APInt(8, 128), APInt(8, 1).rotr(1));
1541   EXPECT_EQ(APInt(8, 64),  APInt(8, 1).rotr(2));
1542   EXPECT_EQ(APInt(8, 16),  APInt(8, 1).rotr(4));
1543   EXPECT_EQ(APInt(8, 1),   APInt(8, 1).rotr(8));
1544 
1545   EXPECT_EQ(APInt(32, (1 << 31)), APInt(32, 1).rotr(33));
1546   EXPECT_EQ(APInt(32, (1 << 31)), APInt(32, 1).rotr(APInt(32, 33)));
1547 
1548   EXPECT_EQ(APInt(32, (1 << 31)), APInt(32, 1).rotr(33));
1549   EXPECT_EQ(APInt(32, (1 << 31)), APInt(32, 1).rotr(APInt(32, 33)));
1550   EXPECT_EQ(APInt(32, (1 << 31)), APInt(32, 1).rotr(APInt(33, 33)));
1551   EXPECT_EQ(APInt(32, (1 << 24)), APInt(32, 1).rotr(APInt(32, 40)));
1552 
1553   EXPECT_EQ(APInt(32, (1 << 2)), APInt(32, 1).rotr(APInt(31, 30)));
1554   EXPECT_EQ(APInt(32, (1 << 1)), APInt(32, 1).rotr(APInt(31, 31)));
1555 
1556   EXPECT_EQ(APInt(32, 1), APInt(32, 1).rotr(APInt(1, 0)));
1557   EXPECT_EQ(APInt(32, (1 << 31)), APInt(32, 1).rotr(APInt(1, 1)));
1558 
1559   EXPECT_EQ(APInt(32, (1 << 28)), APInt(32, 1).rotr(APInt(3, 4)));
1560 
1561   EXPECT_EQ(APInt(32, 1), APInt(32, 1).rotr(APInt(64, 64)));
1562   EXPECT_EQ(APInt(32, (1 << 31)), APInt(32, 1).rotr(APInt(64, 65)));
1563 
1564   EXPECT_EQ(APInt(7, 48), APInt(7, 3).rotr(APInt(7, 3)));
1565   EXPECT_EQ(APInt(7, 48), APInt(7, 3).rotr(APInt(7, 10)));
1566   EXPECT_EQ(APInt(7, 48), APInt(7, 3).rotr(APInt(5, 10)));
1567   EXPECT_EQ(APInt(7, 65), APInt(7, 3).rotr(APInt(12, 120)));
1568 
1569   APInt Big(256, "00004000800000000000000000003fff8000000000000003", 16);
1570   APInt Rot(256, "3fff80000000000000030000000000000000000040008000", 16);
1571   EXPECT_EQ(Rot, Big.rotr(144));
1572 
1573   EXPECT_EQ(APInt(32, 8), APInt(32, 1).rotl(Big));
1574   EXPECT_EQ(APInt(32, (1 << 29)), APInt(32, 1).rotr(Big));
1575 }
1576 
1577 TEST(APIntTest, Splat) {
1578   APInt ValA(8, 0x01);
1579   EXPECT_EQ(ValA, APInt::getSplat(8, ValA));
1580   EXPECT_EQ(APInt(64, 0x0101010101010101ULL), APInt::getSplat(64, ValA));
1581 
1582   APInt ValB(3, 5);
1583   EXPECT_EQ(APInt(4, 0xD), APInt::getSplat(4, ValB));
1584   EXPECT_EQ(APInt(15, 0xDB6D), APInt::getSplat(15, ValB));
1585 }
1586 
1587 TEST(APIntTest, tcDecrement) {
1588   // Test single word decrement.
1589 
1590   // No out borrow.
1591   {
1592     APInt::WordType singleWord = ~APInt::WordType(0) << (APInt::APINT_BITS_PER_WORD - 1);
1593     APInt::WordType carry = APInt::tcDecrement(&singleWord, 1);
1594     EXPECT_EQ(carry, APInt::WordType(0));
1595     EXPECT_EQ(singleWord, ~APInt::WordType(0) >> 1);
1596   }
1597 
1598   // With out borrow.
1599   {
1600     APInt::WordType singleWord = 0;
1601     APInt::WordType carry = APInt::tcDecrement(&singleWord, 1);
1602     EXPECT_EQ(carry, APInt::WordType(1));
1603     EXPECT_EQ(singleWord, ~APInt::WordType(0));
1604   }
1605 
1606   // Test multiword decrement.
1607 
1608   // No across word borrow, no out borrow.
1609   {
1610     APInt::WordType test[4] = {0x1, 0x1, 0x1, 0x1};
1611     APInt::WordType expected[4] = {0x0, 0x1, 0x1, 0x1};
1612     APInt::tcDecrement(test, 4);
1613     EXPECT_EQ(APInt::tcCompare(test, expected, 4), 0);
1614   }
1615 
1616   // 1 across word borrow, no out borrow.
1617   {
1618     APInt::WordType test[4] = {0x0, 0xF, 0x1, 0x1};
1619     APInt::WordType expected[4] = {~APInt::WordType(0), 0xE, 0x1, 0x1};
1620     APInt::WordType carry = APInt::tcDecrement(test, 4);
1621     EXPECT_EQ(carry, APInt::WordType(0));
1622     EXPECT_EQ(APInt::tcCompare(test, expected, 4), 0);
1623   }
1624 
1625   // 2 across word borrow, no out borrow.
1626   {
1627     APInt::WordType test[4] = {0x0, 0x0, 0xC, 0x1};
1628     APInt::WordType expected[4] = {~APInt::WordType(0), ~APInt::WordType(0), 0xB, 0x1};
1629     APInt::WordType carry = APInt::tcDecrement(test, 4);
1630     EXPECT_EQ(carry, APInt::WordType(0));
1631     EXPECT_EQ(APInt::tcCompare(test, expected, 4), 0);
1632   }
1633 
1634   // 3 across word borrow, no out borrow.
1635   {
1636     APInt::WordType test[4] = {0x0, 0x0, 0x0, 0x1};
1637     APInt::WordType expected[4] = {~APInt::WordType(0), ~APInt::WordType(0), ~APInt::WordType(0), 0x0};
1638     APInt::WordType carry = APInt::tcDecrement(test, 4);
1639     EXPECT_EQ(carry, APInt::WordType(0));
1640     EXPECT_EQ(APInt::tcCompare(test, expected, 4), 0);
1641   }
1642 
1643   // 3 across word borrow, with out borrow.
1644   {
1645     APInt::WordType test[4] = {0x0, 0x0, 0x0, 0x0};
1646     APInt::WordType expected[4] = {~APInt::WordType(0), ~APInt::WordType(0), ~APInt::WordType(0), ~APInt::WordType(0)};
1647     APInt::WordType carry = APInt::tcDecrement(test, 4);
1648     EXPECT_EQ(carry, APInt::WordType(1));
1649     EXPECT_EQ(APInt::tcCompare(test, expected, 4), 0);
1650   }
1651 }
1652 
1653 TEST(APIntTest, arrayAccess) {
1654   // Single word check.
1655   uint64_t E1 = 0x2CA7F46BF6569915ULL;
1656   APInt A1(64, E1);
1657   for (unsigned i = 0, e = 64; i < e; ++i) {
1658     EXPECT_EQ(bool(E1 & (1ULL << i)),
1659               A1[i]);
1660   }
1661 
1662   // Multiword check.
1663   APInt::WordType E2[4] = {
1664     0xEB6EB136591CBA21ULL,
1665     0x7B9358BD6A33F10AULL,
1666     0x7E7FFA5EADD8846ULL,
1667     0x305F341CA00B613DULL
1668   };
1669   APInt A2(APInt::APINT_BITS_PER_WORD*4, E2);
1670   for (unsigned i = 0; i < 4; ++i) {
1671     for (unsigned j = 0; j < APInt::APINT_BITS_PER_WORD; ++j) {
1672       EXPECT_EQ(bool(E2[i] & (1ULL << j)),
1673                 A2[i*APInt::APINT_BITS_PER_WORD + j]);
1674     }
1675   }
1676 }
1677 
1678 TEST(APIntTest, LargeAPIntConstruction) {
1679   // Check that we can properly construct very large APInt. It is very
1680   // unlikely that people will ever do this, but it is a legal input,
1681   // so we should not crash on it.
1682   APInt A9(UINT32_MAX, 0);
1683   EXPECT_FALSE(A9.getBoolValue());
1684 }
1685 
1686 TEST(APIntTest, nearestLogBase2) {
1687   // Single word check.
1688 
1689   // Test round up.
1690   uint64_t I1 = 0x1800001;
1691   APInt A1(64, I1);
1692   EXPECT_EQ(A1.nearestLogBase2(), A1.ceilLogBase2());
1693 
1694   // Test round down.
1695   uint64_t I2 = 0x1000011;
1696   APInt A2(64, I2);
1697   EXPECT_EQ(A2.nearestLogBase2(), A2.logBase2());
1698 
1699   // Test ties round up.
1700   uint64_t I3 = 0x1800000;
1701   APInt A3(64, I3);
1702   EXPECT_EQ(A3.nearestLogBase2(), A3.ceilLogBase2());
1703 
1704   // Multiple word check.
1705 
1706   // Test round up.
1707   APInt::WordType I4[4] = {0x0, 0xF, 0x18, 0x0};
1708   APInt A4(APInt::APINT_BITS_PER_WORD*4, I4);
1709   EXPECT_EQ(A4.nearestLogBase2(), A4.ceilLogBase2());
1710 
1711   // Test round down.
1712   APInt::WordType I5[4] = {0x0, 0xF, 0x10, 0x0};
1713   APInt A5(APInt::APINT_BITS_PER_WORD*4, I5);
1714   EXPECT_EQ(A5.nearestLogBase2(), A5.logBase2());
1715 
1716   // Test ties round up.
1717   uint64_t I6[4] = {0x0, 0x0, 0x0, 0x18};
1718   APInt A6(APInt::APINT_BITS_PER_WORD*4, I6);
1719   EXPECT_EQ(A6.nearestLogBase2(), A6.ceilLogBase2());
1720 
1721   // Test BitWidth == 1 special cases.
1722   APInt A7(1, 1);
1723   EXPECT_EQ(A7.nearestLogBase2(), 0ULL);
1724   APInt A8(1, 0);
1725   EXPECT_EQ(A8.nearestLogBase2(), UINT32_MAX);
1726 
1727   // Test the zero case when we have a bit width large enough such
1728   // that the bit width is larger than UINT32_MAX-1.
1729   APInt A9(UINT32_MAX, 0);
1730   EXPECT_EQ(A9.nearestLogBase2(), UINT32_MAX);
1731 }
1732 
1733 TEST(APIntTest, IsSplat) {
1734   APInt A(32, 0x01010101);
1735   EXPECT_FALSE(A.isSplat(1));
1736   EXPECT_FALSE(A.isSplat(2));
1737   EXPECT_FALSE(A.isSplat(4));
1738   EXPECT_TRUE(A.isSplat(8));
1739   EXPECT_TRUE(A.isSplat(16));
1740   EXPECT_TRUE(A.isSplat(32));
1741 
1742   APInt B(24, 0xAAAAAA);
1743   EXPECT_FALSE(B.isSplat(1));
1744   EXPECT_TRUE(B.isSplat(2));
1745   EXPECT_TRUE(B.isSplat(4));
1746   EXPECT_TRUE(B.isSplat(8));
1747   EXPECT_TRUE(B.isSplat(24));
1748 
1749   APInt C(24, 0xABAAAB);
1750   EXPECT_FALSE(C.isSplat(1));
1751   EXPECT_FALSE(C.isSplat(2));
1752   EXPECT_FALSE(C.isSplat(4));
1753   EXPECT_FALSE(C.isSplat(8));
1754   EXPECT_TRUE(C.isSplat(24));
1755 
1756   APInt D(32, 0xABBAABBA);
1757   EXPECT_FALSE(D.isSplat(1));
1758   EXPECT_FALSE(D.isSplat(2));
1759   EXPECT_FALSE(D.isSplat(4));
1760   EXPECT_FALSE(D.isSplat(8));
1761   EXPECT_TRUE(D.isSplat(16));
1762   EXPECT_TRUE(D.isSplat(32));
1763 
1764   APInt E(32, 0);
1765   EXPECT_TRUE(E.isSplat(1));
1766   EXPECT_TRUE(E.isSplat(2));
1767   EXPECT_TRUE(E.isSplat(4));
1768   EXPECT_TRUE(E.isSplat(8));
1769   EXPECT_TRUE(E.isSplat(16));
1770   EXPECT_TRUE(E.isSplat(32));
1771 }
1772 
1773 TEST(APIntTest, isMask) {
1774   EXPECT_FALSE(APInt(32, 0x01010101).isMask());
1775   EXPECT_FALSE(APInt(32, 0xf0000000).isMask());
1776   EXPECT_FALSE(APInt(32, 0xffff0000).isMask());
1777   EXPECT_FALSE(APInt(32, 0xff << 1).isMask());
1778 
1779   for (int N : { 1, 2, 3, 4, 7, 8, 16, 32, 64, 127, 128, 129, 256 }) {
1780     EXPECT_FALSE(APInt(N, 0).isMask());
1781 
1782     APInt One(N, 1);
1783     for (int I = 1; I <= N; ++I) {
1784       APInt MaskVal = One.shl(I) - 1;
1785       EXPECT_TRUE(MaskVal.isMask());
1786       EXPECT_TRUE(MaskVal.isMask(I));
1787     }
1788   }
1789 }
1790 
1791 TEST(APIntTest, isShiftedMask) {
1792   EXPECT_FALSE(APInt(32, 0x01010101).isShiftedMask());
1793   EXPECT_TRUE(APInt(32, 0xf0000000).isShiftedMask());
1794   EXPECT_TRUE(APInt(32, 0xffff0000).isShiftedMask());
1795   EXPECT_TRUE(APInt(32, 0xff << 1).isShiftedMask());
1796 
1797   unsigned MaskIdx, MaskLen;
1798   EXPECT_FALSE(APInt(32, 0x01010101).isShiftedMask(MaskIdx, MaskLen));
1799   EXPECT_TRUE(APInt(32, 0xf0000000).isShiftedMask(MaskIdx, MaskLen));
1800   EXPECT_EQ(28, (int)MaskIdx);
1801   EXPECT_EQ(4, (int)MaskLen);
1802   EXPECT_TRUE(APInt(32, 0xffff0000).isShiftedMask(MaskIdx, MaskLen));
1803   EXPECT_EQ(16, (int)MaskIdx);
1804   EXPECT_EQ(16, (int)MaskLen);
1805   EXPECT_TRUE(APInt(32, 0xff << 1).isShiftedMask(MaskIdx, MaskLen));
1806   EXPECT_EQ(1, (int)MaskIdx);
1807   EXPECT_EQ(8, (int)MaskLen);
1808 
1809   for (int N : { 1, 2, 3, 4, 7, 8, 16, 32, 64, 127, 128, 129, 256 }) {
1810     EXPECT_FALSE(APInt(N, 0).isShiftedMask());
1811     EXPECT_FALSE(APInt(N, 0).isShiftedMask(MaskIdx, MaskLen));
1812 
1813     APInt One(N, 1);
1814     for (int I = 1; I < N; ++I) {
1815       APInt MaskVal = One.shl(I) - 1;
1816       EXPECT_TRUE(MaskVal.isShiftedMask());
1817       EXPECT_TRUE(MaskVal.isShiftedMask(MaskIdx, MaskLen));
1818       EXPECT_EQ(0, (int)MaskIdx);
1819       EXPECT_EQ(I, (int)MaskLen);
1820     }
1821     for (int I = 1; I < N - 1; ++I) {
1822       APInt MaskVal = One.shl(I);
1823       EXPECT_TRUE(MaskVal.isShiftedMask());
1824       EXPECT_TRUE(MaskVal.isShiftedMask(MaskIdx, MaskLen));
1825       EXPECT_EQ(I, (int)MaskIdx);
1826       EXPECT_EQ(1, (int)MaskLen);
1827     }
1828     for (int I = 1; I < N; ++I) {
1829       APInt MaskVal = APInt::getHighBitsSet(N, I);
1830       EXPECT_TRUE(MaskVal.isShiftedMask());
1831       EXPECT_TRUE(MaskVal.isShiftedMask(MaskIdx, MaskLen));
1832       EXPECT_EQ(N - I, (int)MaskIdx);
1833       EXPECT_EQ(I, (int)MaskLen);
1834     }
1835   }
1836 }
1837 
1838 TEST(APIntTest, isOneBitSet) {
1839   EXPECT_FALSE(APInt(5, 0x00).isOneBitSet(0));
1840   EXPECT_FALSE(APInt(5, 0x02).isOneBitSet(0));
1841   EXPECT_FALSE(APInt(5, 0x03).isOneBitSet(0));
1842   EXPECT_TRUE(APInt(5, 0x02).isOneBitSet(1));
1843   EXPECT_TRUE(APInt(32, (unsigned)(0xffu << 31)).isOneBitSet(31));
1844 
1845   EXPECT_TRUE(APInt::getOneBitSet(255, 13).isOneBitSet(13));
1846 }
1847 
1848 TEST(APIntTest, isPowerOf2) {
1849   EXPECT_FALSE(APInt(5, 0x00).isPowerOf2());
1850   EXPECT_FALSE(APInt(32, 0x11).isPowerOf2());
1851   EXPECT_TRUE(APInt(17, 0x01).isPowerOf2());
1852   EXPECT_TRUE(APInt(32, (unsigned)(0xffu << 31)).isPowerOf2());
1853 
1854   for (int N : {1, 2, 3, 4, 7, 8, 16, 32, 64, 127, 128, 129, 256}) {
1855     EXPECT_FALSE(APInt(N, 0).isPowerOf2());
1856     EXPECT_TRUE(APInt::getSignedMinValue(N).isPowerOf2());
1857 
1858     APInt One(N, 1);
1859     for (int I = 1; I < N - 1; ++I) {
1860       EXPECT_TRUE(APInt::getOneBitSet(N, I).isPowerOf2());
1861 
1862       APInt MaskVal = One.shl(I);
1863       EXPECT_TRUE(MaskVal.isPowerOf2());
1864     }
1865   }
1866 }
1867 
1868 TEST(APIntTest, isNegatedPowerOf2) {
1869   EXPECT_FALSE(APInt(5, 0x00).isNegatedPowerOf2());
1870   EXPECT_TRUE(APInt(15, 0x7ffe).isNegatedPowerOf2());
1871   EXPECT_TRUE(APInt(16, 0xfffc).isNegatedPowerOf2());
1872   EXPECT_TRUE(APInt(32, 0xffffffff).isNegatedPowerOf2());
1873 
1874   for (int N : {1, 2, 3, 4, 7, 8, 16, 32, 64, 127, 128, 129, 256}) {
1875     EXPECT_FALSE(APInt(N, 0).isNegatedPowerOf2());
1876     EXPECT_TRUE(APInt::getAllOnes(N).isNegatedPowerOf2());
1877     EXPECT_TRUE(APInt::getSignedMinValue(N).isNegatedPowerOf2());
1878     EXPECT_TRUE((-APInt::getSignedMinValue(N)).isNegatedPowerOf2());
1879 
1880     APInt One(N, 1);
1881     for (int I = 1; I < N - 1; ++I) {
1882       EXPECT_FALSE(APInt::getOneBitSet(N, I).isNegatedPowerOf2());
1883       EXPECT_TRUE((-APInt::getOneBitSet(N, I)).isNegatedPowerOf2());
1884 
1885       APInt MaskVal = One.shl(I);
1886       EXPECT_TRUE((-MaskVal).isNegatedPowerOf2());
1887 
1888       APInt ShiftMaskVal = One.getHighBitsSet(N, I);
1889       EXPECT_TRUE(ShiftMaskVal.isNegatedPowerOf2());
1890     }
1891   }
1892 }
1893 
1894 TEST(APIntTest, isAligned) {
1895   struct {
1896     uint64_t alignment;
1897     uint64_t offset;
1898     bool isAligned;
1899   } Tests[] = {
1900       {1, 0, true},  {1, 1, true},  {1, 5, true},  {2, 0, true},
1901       {2, 1, false}, {2, 2, true},  {2, 7, false}, {2, 16, true},
1902       {4, 0, true},  {4, 1, false}, {4, 4, true},  {4, 6, false},
1903   };
1904   for (const auto &T : Tests)
1905     EXPECT_EQ(APInt(32, T.offset).isAligned(Align(T.alignment)), T.isAligned);
1906   // Tests for APInt that can't represent the alignment.
1907   // Here APInt(4, I) can represent values from 0 to 15.
1908   EXPECT_TRUE(APInt(4, 0).isAligned(Align(32))); // zero is always aligned.
1909   for (int I = 1; I < 16; ++I)
1910     EXPECT_FALSE(APInt(4, I).isAligned(Align(32)));
1911 }
1912 
1913 // Test that self-move works with EXPENSIVE_CHECKS. It calls std::shuffle which
1914 // does self-move on some platforms.
1915 #ifdef EXPENSIVE_CHECKS
1916 #if defined(__clang__)
1917 // Disable the pragma warning from versions of Clang without -Wself-move
1918 #pragma clang diagnostic push
1919 #pragma clang diagnostic ignored "-Wunknown-pragmas"
1920 // Disable the warning that triggers on exactly what is being tested.
1921 #pragma clang diagnostic push
1922 #pragma clang diagnostic ignored "-Wself-move"
1923 #endif
1924 TEST(APIntTest, SelfMoveAssignment) {
1925   APInt X(32, 0xdeadbeef);
1926   X = std::move(X);
1927   EXPECT_EQ(32u, X.getBitWidth());
1928   EXPECT_EQ(0xdeadbeefULL, X.getLimitedValue());
1929 
1930   uint64_t Bits[] = {0xdeadbeefdeadbeefULL, 0xdeadbeefdeadbeefULL};
1931   APInt Y(128, Bits);
1932   Y = std::move(Y);
1933   EXPECT_EQ(128u, Y.getBitWidth());
1934   EXPECT_EQ(~0ULL, Y.getLimitedValue());
1935   const uint64_t *Raw = Y.getRawData();
1936   EXPECT_EQ(2u, Y.getNumWords());
1937   EXPECT_EQ(0xdeadbeefdeadbeefULL, Raw[0]);
1938   EXPECT_EQ(0xdeadbeefdeadbeefULL, Raw[1]);
1939 }
1940 #if defined(__clang__)
1941 #pragma clang diagnostic pop
1942 #pragma clang diagnostic pop
1943 #endif
1944 #endif // EXPENSIVE_CHECKS
1945 
1946 TEST(APIntTest, byteSwap) {
1947   EXPECT_EQ(0x00000000, APInt(16, 0x0000).byteSwap());
1948   EXPECT_EQ(0x0000010f, APInt(16, 0x0f01).byteSwap());
1949   EXPECT_EQ(0x00ff8000, APInt(24, 0x0080ff).byteSwap());
1950   EXPECT_EQ(0x117700ff, APInt(32, 0xff007711).byteSwap());
1951   EXPECT_EQ(0x228811aaffULL, APInt(40, 0xffaa118822ULL).byteSwap());
1952   EXPECT_EQ(0x050403020100ULL, APInt(48, 0x000102030405ULL).byteSwap());
1953   EXPECT_EQ(0xff050403020100ULL, APInt(56, 0x000102030405ffULL).byteSwap());
1954   EXPECT_EQ(0xff050403020100aaULL, APInt(64, 0xaa000102030405ffULL).byteSwap());
1955 
1956   for (unsigned N : {16, 24, 32, 48, 56, 64, 72, 80, 96, 112, 128, 248, 256,
1957                      1024, 1032, 1040}) {
1958     for (unsigned I = 0; I < N; I += 8) {
1959       APInt X = APInt::getBitsSet(N, I, I + 8);
1960       APInt Y = APInt::getBitsSet(N, N - I - 8, N - I);
1961       EXPECT_EQ(Y, X.byteSwap());
1962       EXPECT_EQ(X, Y.byteSwap());
1963     }
1964   }
1965 }
1966 
1967 TEST(APIntTest, reverseBits) {
1968   EXPECT_EQ(1, APInt(1, 1).reverseBits());
1969   EXPECT_EQ(0, APInt(1, 0).reverseBits());
1970 
1971   EXPECT_EQ(3, APInt(2, 3).reverseBits());
1972   EXPECT_EQ(3, APInt(2, 3).reverseBits());
1973 
1974   EXPECT_EQ(0xb, APInt(4, 0xd).reverseBits());
1975   EXPECT_EQ(0xd, APInt(4, 0xb).reverseBits());
1976   EXPECT_EQ(0xf, APInt(4, 0xf).reverseBits());
1977 
1978   EXPECT_EQ(0x30, APInt(7, 0x6).reverseBits());
1979   EXPECT_EQ(0x5a, APInt(7, 0x2d).reverseBits());
1980 
1981   EXPECT_EQ(0x0f, APInt(8, 0xf0).reverseBits());
1982   EXPECT_EQ(0xf0, APInt(8, 0x0f).reverseBits());
1983 
1984   EXPECT_EQ(0x0f0f, APInt(16, 0xf0f0).reverseBits());
1985   EXPECT_EQ(0xf0f0, APInt(16, 0x0f0f).reverseBits());
1986 
1987   EXPECT_EQ(0x0f0f0f0f, APInt(32, 0xf0f0f0f0).reverseBits());
1988   EXPECT_EQ(0xf0f0f0f0, APInt(32, 0x0f0f0f0f).reverseBits());
1989 
1990   EXPECT_EQ(0x402880a0 >> 1, APInt(31, 0x05011402).reverseBits());
1991 
1992   EXPECT_EQ(0x0f0f0f0f, APInt(32, 0xf0f0f0f0).reverseBits());
1993   EXPECT_EQ(0xf0f0f0f0, APInt(32, 0x0f0f0f0f).reverseBits());
1994 
1995   EXPECT_EQ(0x0f0f0f0f0f0f0f0f, APInt(64, 0xf0f0f0f0f0f0f0f0).reverseBits());
1996   EXPECT_EQ(0xf0f0f0f0f0f0f0f0, APInt(64, 0x0f0f0f0f0f0f0f0f).reverseBits());
1997 
1998   for (unsigned N : { 1, 8, 16, 24, 31, 32, 33,
1999                       63, 64, 65, 127, 128, 257, 1024 }) {
2000     for (unsigned I = 0; I < N; ++I) {
2001       APInt X = APInt::getOneBitSet(N, I);
2002       APInt Y = APInt::getOneBitSet(N, N - (I + 1));
2003       EXPECT_EQ(Y, X.reverseBits());
2004       EXPECT_EQ(X, Y.reverseBits());
2005     }
2006   }
2007 }
2008 
2009 TEST(APIntTest, insertBits) {
2010   APInt iSrc(31, 0x00123456);
2011 
2012   // Direct copy.
2013   APInt i31(31, 0x76543210ull);
2014   i31.insertBits(iSrc, 0);
2015   EXPECT_EQ(static_cast<int64_t>(0x00123456ull), i31.getSExtValue());
2016 
2017   // Single word src/dst insertion.
2018   APInt i63(63, 0x01234567FFFFFFFFull);
2019   i63.insertBits(iSrc, 4);
2020   EXPECT_EQ(static_cast<int64_t>(0x012345600123456Full), i63.getSExtValue());
2021 
2022   // Zero width insert is a noop.
2023   i31.insertBits(APInt::getZeroWidth(), 1);
2024   EXPECT_EQ(static_cast<int64_t>(0x00123456ull), i31.getSExtValue());
2025 
2026   // Insert single word src into one word of dst.
2027   APInt i120(120, UINT64_MAX, true);
2028   i120.insertBits(iSrc, 8);
2029   EXPECT_EQ(static_cast<int64_t>(0xFFFFFF80123456FFull), i120.getSExtValue());
2030 
2031   // Insert single word src into two words of dst.
2032   APInt i127(127, UINT64_MAX, true);
2033   i127.insertBits(iSrc, 48);
2034   EXPECT_EQ(i127.extractBits(64, 0).getZExtValue(), 0x3456FFFFFFFFFFFFull);
2035   EXPECT_EQ(i127.extractBits(63, 64).getZExtValue(), 0x7FFFFFFFFFFF8012ull);
2036 
2037   // Insert on word boundaries.
2038   APInt i128(128, 0);
2039   i128.insertBits(APInt(64, UINT64_MAX, true), 0);
2040   i128.insertBits(APInt(64, UINT64_MAX, true), 64);
2041   EXPECT_EQ(-1, i128.getSExtValue());
2042 
2043   APInt i256(256, UINT64_MAX, true);
2044   i256.insertBits(APInt(65, 0), 0);
2045   i256.insertBits(APInt(69, 0), 64);
2046   i256.insertBits(APInt(128, 0), 128);
2047   EXPECT_EQ(0u, i256.getSExtValue());
2048 
2049   APInt i257(257, 0);
2050   i257.insertBits(APInt(96, UINT64_MAX, true), 64);
2051   EXPECT_EQ(i257.extractBits(64, 0).getZExtValue(), 0x0000000000000000ull);
2052   EXPECT_EQ(i257.extractBits(64, 64).getZExtValue(), 0xFFFFFFFFFFFFFFFFull);
2053   EXPECT_EQ(i257.extractBits(64, 128).getZExtValue(), 0x00000000FFFFFFFFull);
2054   EXPECT_EQ(i257.extractBits(65, 192).getZExtValue(), 0x0000000000000000ull);
2055 
2056   // General insertion.
2057   APInt i260(260, UINT64_MAX, true);
2058   i260.insertBits(APInt(129, 1ull << 48), 15);
2059   EXPECT_EQ(i260.extractBits(64, 0).getZExtValue(), 0x8000000000007FFFull);
2060   EXPECT_EQ(i260.extractBits(64, 64).getZExtValue(), 0x0000000000000000ull);
2061   EXPECT_EQ(i260.extractBits(64, 128).getZExtValue(), 0xFFFFFFFFFFFF0000ull);
2062   EXPECT_EQ(i260.extractBits(64, 192).getZExtValue(), 0xFFFFFFFFFFFFFFFFull);
2063   EXPECT_EQ(i260.extractBits(4, 256).getZExtValue(), 0x000000000000000Full);
2064 }
2065 
2066 TEST(APIntTest, insertBitsUInt64) {
2067   // Tests cloned from insertBits but adapted to the numBits <= 64 constraint
2068   uint64_t iSrc = 0x00123456;
2069 
2070   // Direct copy.
2071   APInt i31(31, 0x76543210ull);
2072   i31.insertBits(iSrc, 0, 31);
2073   EXPECT_EQ(static_cast<int64_t>(0x00123456ull), i31.getSExtValue());
2074 
2075   // Single word src/dst insertion.
2076   APInt i63(63, 0x01234567FFFFFFFFull);
2077   i63.insertBits(iSrc, 4, 31);
2078   EXPECT_EQ(static_cast<int64_t>(0x012345600123456Full), i63.getSExtValue());
2079 
2080   // Insert single word src into one word of dst.
2081   APInt i120(120, UINT64_MAX, true);
2082   i120.insertBits(iSrc, 8, 31);
2083   EXPECT_EQ(static_cast<int64_t>(0xFFFFFF80123456FFull), i120.getSExtValue());
2084 
2085   // Insert single word src into two words of dst.
2086   APInt i127(127, UINT64_MAX, true);
2087   i127.insertBits(iSrc, 48, 31);
2088   EXPECT_EQ(i127.extractBits(64, 0).getZExtValue(), 0x3456FFFFFFFFFFFFull);
2089   EXPECT_EQ(i127.extractBits(63, 64).getZExtValue(), 0x7FFFFFFFFFFF8012ull);
2090 
2091   // Insert on word boundaries.
2092   APInt i128(128, 0);
2093   i128.insertBits(UINT64_MAX, 0, 64);
2094   i128.insertBits(UINT64_MAX, 64, 64);
2095   EXPECT_EQ(-1, i128.getSExtValue());
2096 
2097   APInt i256(256, UINT64_MAX, true);
2098   i256.insertBits(0, 0, 64);
2099   i256.insertBits(0, 64, 1);
2100   i256.insertBits(0, 64, 64);
2101   i256.insertBits(0, 128, 5);
2102   i256.insertBits(0, 128, 64);
2103   i256.insertBits(0, 192, 64);
2104   EXPECT_EQ(0u, i256.getSExtValue());
2105 
2106   APInt i257(257, 0);
2107   i257.insertBits(APInt(96, UINT64_MAX, true), 64);
2108   EXPECT_EQ(i257.extractBitsAsZExtValue(64, 0), 0x0000000000000000ull);
2109   EXPECT_EQ(i257.extractBitsAsZExtValue(64, 64), 0xFFFFFFFFFFFFFFFFull);
2110   EXPECT_EQ(i257.extractBitsAsZExtValue(64, 128), 0x00000000FFFFFFFFull);
2111   EXPECT_EQ(i257.extractBitsAsZExtValue(64, 192), 0x0000000000000000ull);
2112   EXPECT_EQ(i257.extractBitsAsZExtValue(1, 256), 0x0000000000000000ull);
2113 
2114   // General insertion.
2115   APInt i260(260, UINT64_MAX, true);
2116   i260.insertBits(APInt(129, 1ull << 48), 15);
2117   EXPECT_EQ(i260.extractBitsAsZExtValue(64, 0), 0x8000000000007FFFull);
2118   EXPECT_EQ(i260.extractBitsAsZExtValue(64, 64), 0x0000000000000000ull);
2119   EXPECT_EQ(i260.extractBitsAsZExtValue(64, 128), 0xFFFFFFFFFFFF0000ull);
2120   EXPECT_EQ(i260.extractBitsAsZExtValue(64, 192), 0xFFFFFFFFFFFFFFFFull);
2121   EXPECT_EQ(i260.extractBitsAsZExtValue(4, 256), 0x000000000000000Full);
2122 }
2123 
2124 TEST(APIntTest, extractBits) {
2125   APInt i32(32, 0x1234567);
2126   EXPECT_EQ(0x3456, i32.extractBits(16, 4));
2127 
2128   APInt i64(64, 0x01234567FFFFFFFFull);
2129   EXPECT_EQ(0xFFFFFFFF, i64.extractBits(32, 0));
2130   EXPECT_EQ(0xFFFFFFFF, i64.trunc(32));
2131   EXPECT_EQ(0x01234567, i64.extractBits(32, 32));
2132   EXPECT_EQ(0x01234567, i64.lshr(32).trunc(32));
2133 
2134   APInt i257(257, 0xFFFFFFFFFF0000FFull, true);
2135   EXPECT_EQ(0xFFu, i257.extractBits(16, 0));
2136   EXPECT_EQ(0xFFu, i257.lshr(0).trunc(16));
2137   EXPECT_EQ((0xFFu >> 1), i257.extractBits(16, 1));
2138   EXPECT_EQ((0xFFu >> 1), i257.lshr(1).trunc(16));
2139   EXPECT_EQ(-1, i257.extractBits(32, 64).getSExtValue());
2140   EXPECT_EQ(-1, i257.lshr(64).trunc(32).getSExtValue());
2141   EXPECT_EQ(-1, i257.extractBits(128, 128).getSExtValue());
2142   EXPECT_EQ(-1, i257.lshr(128).trunc(128).getSExtValue());
2143   EXPECT_EQ(-1, i257.extractBits(66, 191).getSExtValue());
2144   EXPECT_EQ(-1, i257.lshr(191).trunc(66).getSExtValue());
2145   EXPECT_EQ(static_cast<int64_t>(0xFFFFFFFFFF80007Full),
2146             i257.extractBits(128, 1).getSExtValue());
2147   EXPECT_EQ(static_cast<int64_t>(0xFFFFFFFFFF80007Full),
2148             i257.lshr(1).trunc(128).getSExtValue());
2149   EXPECT_EQ(static_cast<int64_t>(0xFFFFFFFFFF80007Full),
2150             i257.extractBits(129, 1).getSExtValue());
2151   EXPECT_EQ(static_cast<int64_t>(0xFFFFFFFFFF80007Full),
2152             i257.lshr(1).trunc(129).getSExtValue());
2153 
2154   EXPECT_EQ(APInt(48, 0),
2155             APInt(144, "281474976710655", 10).extractBits(48, 48));
2156   EXPECT_EQ(APInt(48, 0),
2157             APInt(144, "281474976710655", 10).lshr(48).trunc(48));
2158   EXPECT_EQ(APInt(48, 0x0000ffffffffffffull),
2159             APInt(144, "281474976710655", 10).extractBits(48, 0));
2160   EXPECT_EQ(APInt(48, 0x0000ffffffffffffull),
2161             APInt(144, "281474976710655", 10).lshr(0).trunc(48));
2162   EXPECT_EQ(APInt(48, 0x00007fffffffffffull),
2163             APInt(144, "281474976710655", 10).extractBits(48, 1));
2164   EXPECT_EQ(APInt(48, 0x00007fffffffffffull),
2165             APInt(144, "281474976710655", 10).lshr(1).trunc(48));
2166 }
2167 
2168 TEST(APIntTest, extractBitsAsZExtValue) {
2169   // Tests based on extractBits
2170   APInt i32(32, 0x1234567);
2171   EXPECT_EQ(0x3456u, i32.extractBitsAsZExtValue(16, 4));
2172 
2173   APInt i257(257, 0xFFFFFFFFFF0000FFull, true);
2174   EXPECT_EQ(0xFFu, i257.extractBitsAsZExtValue(16, 0));
2175   EXPECT_EQ((0xFFu >> 1), i257.extractBitsAsZExtValue(16, 1));
2176   EXPECT_EQ(0xFFFFFFFFull, i257.extractBitsAsZExtValue(32, 64));
2177   EXPECT_EQ(0xFFFFFFFFFFFFFFFFull, i257.extractBitsAsZExtValue(64, 128));
2178   EXPECT_EQ(0xFFFFFFFFFFFFFFFFull, i257.extractBitsAsZExtValue(64, 192));
2179   EXPECT_EQ(0xFFFFFFFFFFFFFFFFull, i257.extractBitsAsZExtValue(64, 191));
2180   EXPECT_EQ(0x3u, i257.extractBitsAsZExtValue(2, 255));
2181   EXPECT_EQ(0xFFFFFFFFFF80007Full, i257.extractBitsAsZExtValue(64, 1));
2182   EXPECT_EQ(0xFFFFFFFFFFFFFFFFull, i257.extractBitsAsZExtValue(64, 65));
2183   EXPECT_EQ(0xFFFFFFFFFF80007Full, i257.extractBitsAsZExtValue(64, 1));
2184   EXPECT_EQ(0xFFFFFFFFFFFFFFFFull, i257.extractBitsAsZExtValue(64, 65));
2185   EXPECT_EQ(0x1ull, i257.extractBitsAsZExtValue(1, 129));
2186 
2187   EXPECT_EQ(APInt(48, 0),
2188             APInt(144, "281474976710655", 10).extractBitsAsZExtValue(48, 48));
2189   EXPECT_EQ(APInt(48, 0x0000ffffffffffffull),
2190             APInt(144, "281474976710655", 10).extractBitsAsZExtValue(48, 0));
2191   EXPECT_EQ(APInt(48, 0x00007fffffffffffull),
2192             APInt(144, "281474976710655", 10).extractBitsAsZExtValue(48, 1));
2193 }
2194 
2195 TEST(APIntTest, getLowBitsSet) {
2196   APInt i128lo64 = APInt::getLowBitsSet(128, 64);
2197   EXPECT_EQ(0u, i128lo64.countl_one());
2198   EXPECT_EQ(64u, i128lo64.countl_zero());
2199   EXPECT_EQ(64u, i128lo64.getActiveBits());
2200   EXPECT_EQ(0u, i128lo64.countr_zero());
2201   EXPECT_EQ(64u, i128lo64.countr_one());
2202   EXPECT_EQ(64u, i128lo64.popcount());
2203 }
2204 
2205 TEST(APIntTest, getBitsSet) {
2206   APInt i64hi1lo1 = APInt::getBitsSet(64, 1, 63);
2207   EXPECT_EQ(0u, i64hi1lo1.countl_one());
2208   EXPECT_EQ(1u, i64hi1lo1.countl_zero());
2209   EXPECT_EQ(63u, i64hi1lo1.getActiveBits());
2210   EXPECT_EQ(1u, i64hi1lo1.countr_zero());
2211   EXPECT_EQ(0u, i64hi1lo1.countr_one());
2212   EXPECT_EQ(62u, i64hi1lo1.popcount());
2213 
2214   APInt i127hi1lo1 = APInt::getBitsSet(127, 1, 126);
2215   EXPECT_EQ(0u, i127hi1lo1.countl_one());
2216   EXPECT_EQ(1u, i127hi1lo1.countl_zero());
2217   EXPECT_EQ(126u, i127hi1lo1.getActiveBits());
2218   EXPECT_EQ(1u, i127hi1lo1.countr_zero());
2219   EXPECT_EQ(0u, i127hi1lo1.countr_one());
2220   EXPECT_EQ(125u, i127hi1lo1.popcount());
2221 }
2222 
2223 TEST(APIntTest, getBitsSetWithWrap) {
2224   APInt i64hi1lo1 = APInt::getBitsSetWithWrap(64, 1, 63);
2225   EXPECT_EQ(0u, i64hi1lo1.countl_one());
2226   EXPECT_EQ(1u, i64hi1lo1.countl_zero());
2227   EXPECT_EQ(63u, i64hi1lo1.getActiveBits());
2228   EXPECT_EQ(1u, i64hi1lo1.countr_zero());
2229   EXPECT_EQ(0u, i64hi1lo1.countr_one());
2230   EXPECT_EQ(62u, i64hi1lo1.popcount());
2231 
2232   APInt i127hi1lo1 = APInt::getBitsSetWithWrap(127, 1, 126);
2233   EXPECT_EQ(0u, i127hi1lo1.countl_one());
2234   EXPECT_EQ(1u, i127hi1lo1.countl_zero());
2235   EXPECT_EQ(126u, i127hi1lo1.getActiveBits());
2236   EXPECT_EQ(1u, i127hi1lo1.countr_zero());
2237   EXPECT_EQ(0u, i127hi1lo1.countr_one());
2238   EXPECT_EQ(125u, i127hi1lo1.popcount());
2239 
2240   APInt i64hi1lo1wrap = APInt::getBitsSetWithWrap(64, 63, 1);
2241   EXPECT_EQ(1u, i64hi1lo1wrap.countl_one());
2242   EXPECT_EQ(0u, i64hi1lo1wrap.countl_zero());
2243   EXPECT_EQ(64u, i64hi1lo1wrap.getActiveBits());
2244   EXPECT_EQ(0u, i64hi1lo1wrap.countr_zero());
2245   EXPECT_EQ(1u, i64hi1lo1wrap.countr_one());
2246   EXPECT_EQ(2u, i64hi1lo1wrap.popcount());
2247 
2248   APInt i127hi1lo1wrap = APInt::getBitsSetWithWrap(127, 126, 1);
2249   EXPECT_EQ(1u, i127hi1lo1wrap.countl_one());
2250   EXPECT_EQ(0u, i127hi1lo1wrap.countl_zero());
2251   EXPECT_EQ(127u, i127hi1lo1wrap.getActiveBits());
2252   EXPECT_EQ(0u, i127hi1lo1wrap.countr_zero());
2253   EXPECT_EQ(1u, i127hi1lo1wrap.countr_one());
2254   EXPECT_EQ(2u, i127hi1lo1wrap.popcount());
2255 
2256   APInt i32hiequallowrap = APInt::getBitsSetWithWrap(32, 10, 10);
2257   EXPECT_EQ(32u, i32hiequallowrap.countl_one());
2258   EXPECT_EQ(0u, i32hiequallowrap.countl_zero());
2259   EXPECT_EQ(32u, i32hiequallowrap.getActiveBits());
2260   EXPECT_EQ(0u, i32hiequallowrap.countr_zero());
2261   EXPECT_EQ(32u, i32hiequallowrap.countr_one());
2262   EXPECT_EQ(32u, i32hiequallowrap.popcount());
2263 }
2264 
2265 TEST(APIntTest, getHighBitsSet) {
2266   APInt i64hi32 = APInt::getHighBitsSet(64, 32);
2267   EXPECT_EQ(32u, i64hi32.countl_one());
2268   EXPECT_EQ(0u, i64hi32.countl_zero());
2269   EXPECT_EQ(64u, i64hi32.getActiveBits());
2270   EXPECT_EQ(32u, i64hi32.countr_zero());
2271   EXPECT_EQ(0u, i64hi32.countr_one());
2272   EXPECT_EQ(32u, i64hi32.popcount());
2273 }
2274 
2275 TEST(APIntTest, getBitsSetFrom) {
2276   APInt i64hi31 = APInt::getBitsSetFrom(64, 33);
2277   EXPECT_EQ(31u, i64hi31.countl_one());
2278   EXPECT_EQ(0u, i64hi31.countl_zero());
2279   EXPECT_EQ(64u, i64hi31.getActiveBits());
2280   EXPECT_EQ(33u, i64hi31.countr_zero());
2281   EXPECT_EQ(0u, i64hi31.countr_one());
2282   EXPECT_EQ(31u, i64hi31.popcount());
2283 }
2284 
2285 TEST(APIntTest, setLowBits) {
2286   APInt i64lo32(64, 0);
2287   i64lo32.setLowBits(32);
2288   EXPECT_EQ(0u, i64lo32.countl_one());
2289   EXPECT_EQ(32u, i64lo32.countl_zero());
2290   EXPECT_EQ(32u, i64lo32.getActiveBits());
2291   EXPECT_EQ(0u, i64lo32.countr_zero());
2292   EXPECT_EQ(32u, i64lo32.countr_one());
2293   EXPECT_EQ(32u, i64lo32.popcount());
2294 
2295   APInt i128lo64(128, 0);
2296   i128lo64.setLowBits(64);
2297   EXPECT_EQ(0u, i128lo64.countl_one());
2298   EXPECT_EQ(64u, i128lo64.countl_zero());
2299   EXPECT_EQ(64u, i128lo64.getActiveBits());
2300   EXPECT_EQ(0u, i128lo64.countr_zero());
2301   EXPECT_EQ(64u, i128lo64.countr_one());
2302   EXPECT_EQ(64u, i128lo64.popcount());
2303 
2304   APInt i128lo24(128, 0);
2305   i128lo24.setLowBits(24);
2306   EXPECT_EQ(0u, i128lo24.countl_one());
2307   EXPECT_EQ(104u, i128lo24.countl_zero());
2308   EXPECT_EQ(24u, i128lo24.getActiveBits());
2309   EXPECT_EQ(0u, i128lo24.countr_zero());
2310   EXPECT_EQ(24u, i128lo24.countr_one());
2311   EXPECT_EQ(24u, i128lo24.popcount());
2312 
2313   APInt i128lo104(128, 0);
2314   i128lo104.setLowBits(104);
2315   EXPECT_EQ(0u, i128lo104.countl_one());
2316   EXPECT_EQ(24u, i128lo104.countl_zero());
2317   EXPECT_EQ(104u, i128lo104.getActiveBits());
2318   EXPECT_EQ(0u, i128lo104.countr_zero());
2319   EXPECT_EQ(104u, i128lo104.countr_one());
2320   EXPECT_EQ(104u, i128lo104.popcount());
2321 
2322   APInt i128lo0(128, 0);
2323   i128lo0.setLowBits(0);
2324   EXPECT_EQ(0u, i128lo0.countl_one());
2325   EXPECT_EQ(128u, i128lo0.countl_zero());
2326   EXPECT_EQ(0u, i128lo0.getActiveBits());
2327   EXPECT_EQ(128u, i128lo0.countr_zero());
2328   EXPECT_EQ(0u, i128lo0.countr_one());
2329   EXPECT_EQ(0u, i128lo0.popcount());
2330 
2331   APInt i80lo79(80, 0);
2332   i80lo79.setLowBits(79);
2333   EXPECT_EQ(0u, i80lo79.countl_one());
2334   EXPECT_EQ(1u, i80lo79.countl_zero());
2335   EXPECT_EQ(79u, i80lo79.getActiveBits());
2336   EXPECT_EQ(0u, i80lo79.countr_zero());
2337   EXPECT_EQ(79u, i80lo79.countr_one());
2338   EXPECT_EQ(79u, i80lo79.popcount());
2339 }
2340 
2341 TEST(APIntTest, setHighBits) {
2342   APInt i64hi32(64, 0);
2343   i64hi32.setHighBits(32);
2344   EXPECT_EQ(32u, i64hi32.countl_one());
2345   EXPECT_EQ(0u, i64hi32.countl_zero());
2346   EXPECT_EQ(64u, i64hi32.getActiveBits());
2347   EXPECT_EQ(32u, i64hi32.countr_zero());
2348   EXPECT_EQ(0u, i64hi32.countr_one());
2349   EXPECT_EQ(32u, i64hi32.popcount());
2350 
2351   APInt i128hi64(128, 0);
2352   i128hi64.setHighBits(64);
2353   EXPECT_EQ(64u, i128hi64.countl_one());
2354   EXPECT_EQ(0u, i128hi64.countl_zero());
2355   EXPECT_EQ(128u, i128hi64.getActiveBits());
2356   EXPECT_EQ(64u, i128hi64.countr_zero());
2357   EXPECT_EQ(0u, i128hi64.countr_one());
2358   EXPECT_EQ(64u, i128hi64.popcount());
2359 
2360   APInt i128hi24(128, 0);
2361   i128hi24.setHighBits(24);
2362   EXPECT_EQ(24u, i128hi24.countl_one());
2363   EXPECT_EQ(0u, i128hi24.countl_zero());
2364   EXPECT_EQ(128u, i128hi24.getActiveBits());
2365   EXPECT_EQ(104u, i128hi24.countr_zero());
2366   EXPECT_EQ(0u, i128hi24.countr_one());
2367   EXPECT_EQ(24u, i128hi24.popcount());
2368 
2369   APInt i128hi104(128, 0);
2370   i128hi104.setHighBits(104);
2371   EXPECT_EQ(104u, i128hi104.countl_one());
2372   EXPECT_EQ(0u, i128hi104.countl_zero());
2373   EXPECT_EQ(128u, i128hi104.getActiveBits());
2374   EXPECT_EQ(24u, i128hi104.countr_zero());
2375   EXPECT_EQ(0u, i128hi104.countr_one());
2376   EXPECT_EQ(104u, i128hi104.popcount());
2377 
2378   APInt i128hi0(128, 0);
2379   i128hi0.setHighBits(0);
2380   EXPECT_EQ(0u, i128hi0.countl_one());
2381   EXPECT_EQ(128u, i128hi0.countl_zero());
2382   EXPECT_EQ(0u, i128hi0.getActiveBits());
2383   EXPECT_EQ(128u, i128hi0.countr_zero());
2384   EXPECT_EQ(0u, i128hi0.countr_one());
2385   EXPECT_EQ(0u, i128hi0.popcount());
2386 
2387   APInt i80hi1(80, 0);
2388   i80hi1.setHighBits(1);
2389   EXPECT_EQ(1u, i80hi1.countl_one());
2390   EXPECT_EQ(0u, i80hi1.countl_zero());
2391   EXPECT_EQ(80u, i80hi1.getActiveBits());
2392   EXPECT_EQ(79u, i80hi1.countr_zero());
2393   EXPECT_EQ(0u, i80hi1.countr_one());
2394   EXPECT_EQ(1u, i80hi1.popcount());
2395 
2396   APInt i32hi16(32, 0);
2397   i32hi16.setHighBits(16);
2398   EXPECT_EQ(16u, i32hi16.countl_one());
2399   EXPECT_EQ(0u, i32hi16.countl_zero());
2400   EXPECT_EQ(32u, i32hi16.getActiveBits());
2401   EXPECT_EQ(16u, i32hi16.countr_zero());
2402   EXPECT_EQ(0u, i32hi16.countr_one());
2403   EXPECT_EQ(16u, i32hi16.popcount());
2404 }
2405 
2406 TEST(APIntTest, setBitsFrom) {
2407   APInt i64from63(64, 0);
2408   i64from63.setBitsFrom(63);
2409   EXPECT_EQ(1u, i64from63.countl_one());
2410   EXPECT_EQ(0u, i64from63.countl_zero());
2411   EXPECT_EQ(64u, i64from63.getActiveBits());
2412   EXPECT_EQ(63u, i64from63.countr_zero());
2413   EXPECT_EQ(0u, i64from63.countr_one());
2414   EXPECT_EQ(1u, i64from63.popcount());
2415 }
2416 
2417 TEST(APIntTest, setAllBits) {
2418   APInt i32(32, 0);
2419   i32.setAllBits();
2420   EXPECT_EQ(32u, i32.countl_one());
2421   EXPECT_EQ(0u, i32.countl_zero());
2422   EXPECT_EQ(32u, i32.getActiveBits());
2423   EXPECT_EQ(0u, i32.countr_zero());
2424   EXPECT_EQ(32u, i32.countr_one());
2425   EXPECT_EQ(32u, i32.popcount());
2426 
2427   APInt i64(64, 0);
2428   i64.setAllBits();
2429   EXPECT_EQ(64u, i64.countl_one());
2430   EXPECT_EQ(0u, i64.countl_zero());
2431   EXPECT_EQ(64u, i64.getActiveBits());
2432   EXPECT_EQ(0u, i64.countr_zero());
2433   EXPECT_EQ(64u, i64.countr_one());
2434   EXPECT_EQ(64u, i64.popcount());
2435 
2436   APInt i96(96, 0);
2437   i96.setAllBits();
2438   EXPECT_EQ(96u, i96.countl_one());
2439   EXPECT_EQ(0u, i96.countl_zero());
2440   EXPECT_EQ(96u, i96.getActiveBits());
2441   EXPECT_EQ(0u, i96.countr_zero());
2442   EXPECT_EQ(96u, i96.countr_one());
2443   EXPECT_EQ(96u, i96.popcount());
2444 
2445   APInt i128(128, 0);
2446   i128.setAllBits();
2447   EXPECT_EQ(128u, i128.countl_one());
2448   EXPECT_EQ(0u, i128.countl_zero());
2449   EXPECT_EQ(128u, i128.getActiveBits());
2450   EXPECT_EQ(0u, i128.countr_zero());
2451   EXPECT_EQ(128u, i128.countr_one());
2452   EXPECT_EQ(128u, i128.popcount());
2453 }
2454 
2455 TEST(APIntTest, getLoBits) {
2456   APInt i32(32, 0xfa);
2457   i32.setHighBits(1);
2458   EXPECT_EQ(0xa, i32.getLoBits(4));
2459   APInt i128(128, 0xfa);
2460   i128.setHighBits(1);
2461   EXPECT_EQ(0xa, i128.getLoBits(4));
2462 }
2463 
2464 TEST(APIntTest, getHiBits) {
2465   APInt i32(32, 0xfa);
2466   i32.setHighBits(2);
2467   EXPECT_EQ(0xc, i32.getHiBits(4));
2468   APInt i128(128, 0xfa);
2469   i128.setHighBits(2);
2470   EXPECT_EQ(0xc, i128.getHiBits(4));
2471 }
2472 
2473 TEST(APIntTest, clearLowBits) {
2474   APInt i64hi32 = APInt::getAllOnes(64);
2475   i64hi32.clearLowBits(32);
2476   EXPECT_EQ(32u, i64hi32.countl_one());
2477   EXPECT_EQ(0u, i64hi32.countl_zero());
2478   EXPECT_EQ(64u, i64hi32.getActiveBits());
2479   EXPECT_EQ(32u, i64hi32.countr_zero());
2480   EXPECT_EQ(0u, i64hi32.countr_one());
2481   EXPECT_EQ(32u, i64hi32.popcount());
2482 
2483   APInt i128hi64 = APInt::getAllOnes(128);
2484   i128hi64.clearLowBits(64);
2485   EXPECT_EQ(64u, i128hi64.countl_one());
2486   EXPECT_EQ(0u, i128hi64.countl_zero());
2487   EXPECT_EQ(128u, i128hi64.getActiveBits());
2488   EXPECT_EQ(64u, i128hi64.countr_zero());
2489   EXPECT_EQ(0u, i128hi64.countr_one());
2490   EXPECT_EQ(64u, i128hi64.popcount());
2491 
2492   APInt i128hi24 = APInt::getAllOnes(128);
2493   i128hi24.clearLowBits(104);
2494   EXPECT_EQ(24u, i128hi24.countl_one());
2495   EXPECT_EQ(0u, i128hi24.countl_zero());
2496   EXPECT_EQ(128u, i128hi24.getActiveBits());
2497   EXPECT_EQ(104u, i128hi24.countr_zero());
2498   EXPECT_EQ(0u, i128hi24.countr_one());
2499   EXPECT_EQ(24u, i128hi24.popcount());
2500 
2501   APInt i128hi104 = APInt::getAllOnes(128);
2502   i128hi104.clearLowBits(24);
2503   EXPECT_EQ(104u, i128hi104.countl_one());
2504   EXPECT_EQ(0u, i128hi104.countl_zero());
2505   EXPECT_EQ(128u, i128hi104.getActiveBits());
2506   EXPECT_EQ(24u, i128hi104.countr_zero());
2507   EXPECT_EQ(0u, i128hi104.countr_one());
2508   EXPECT_EQ(104u, i128hi104.popcount());
2509 
2510   APInt i128hi0 = APInt::getAllOnes(128);
2511   i128hi0.clearLowBits(128);
2512   EXPECT_EQ(0u, i128hi0.countl_one());
2513   EXPECT_EQ(128u, i128hi0.countl_zero());
2514   EXPECT_EQ(0u, i128hi0.getActiveBits());
2515   EXPECT_EQ(128u, i128hi0.countr_zero());
2516   EXPECT_EQ(0u, i128hi0.countr_one());
2517   EXPECT_EQ(0u, i128hi0.popcount());
2518 
2519   APInt i80hi1 = APInt::getAllOnes(80);
2520   i80hi1.clearLowBits(79);
2521   EXPECT_EQ(1u, i80hi1.countl_one());
2522   EXPECT_EQ(0u, i80hi1.countl_zero());
2523   EXPECT_EQ(80u, i80hi1.getActiveBits());
2524   EXPECT_EQ(79u, i80hi1.countr_zero());
2525   EXPECT_EQ(0u, i80hi1.countr_one());
2526   EXPECT_EQ(1u, i80hi1.popcount());
2527 
2528   APInt i32hi16 = APInt::getAllOnes(32);
2529   i32hi16.clearLowBits(16);
2530   EXPECT_EQ(16u, i32hi16.countl_one());
2531   EXPECT_EQ(0u, i32hi16.countl_zero());
2532   EXPECT_EQ(32u, i32hi16.getActiveBits());
2533   EXPECT_EQ(16u, i32hi16.countr_zero());
2534   EXPECT_EQ(0u, i32hi16.countr_one());
2535   EXPECT_EQ(16u, i32hi16.popcount());
2536 }
2537 
2538 TEST(APIntTest, clearHighBits) {
2539   APInt i64hi32 = APInt::getAllOnes(64);
2540   i64hi32.clearHighBits(32);
2541   EXPECT_EQ(32u, i64hi32.countr_one());
2542   EXPECT_EQ(0u, i64hi32.countr_zero());
2543   EXPECT_EQ(32u, i64hi32.getActiveBits());
2544   EXPECT_EQ(32u, i64hi32.countl_zero());
2545   EXPECT_EQ(0u, i64hi32.countl_one());
2546   EXPECT_EQ(32u, i64hi32.popcount());
2547 
2548   APInt i128hi64 = APInt::getAllOnes(128);
2549   i128hi64.clearHighBits(64);
2550   EXPECT_EQ(64u, i128hi64.countr_one());
2551   EXPECT_EQ(0u, i128hi64.countr_zero());
2552   EXPECT_EQ(64u, i128hi64.getActiveBits());
2553   EXPECT_EQ(64u, i128hi64.countl_zero());
2554   EXPECT_EQ(0u, i128hi64.countl_one());
2555   EXPECT_EQ(64u, i128hi64.popcount());
2556 
2557   APInt i128hi24 = APInt::getAllOnes(128);
2558   i128hi24.clearHighBits(104);
2559   EXPECT_EQ(24u, i128hi24.countr_one());
2560   EXPECT_EQ(0u, i128hi24.countr_zero());
2561   EXPECT_EQ(24u, i128hi24.getActiveBits());
2562   EXPECT_EQ(104u, i128hi24.countl_zero());
2563   EXPECT_EQ(0u, i128hi24.countl_one());
2564   EXPECT_EQ(24u, i128hi24.popcount());
2565 
2566   APInt i128hi104 = APInt::getAllOnes(128);
2567   i128hi104.clearHighBits(24);
2568   EXPECT_EQ(104u, i128hi104.countr_one());
2569   EXPECT_EQ(0u, i128hi104.countr_zero());
2570   EXPECT_EQ(104u, i128hi104.getActiveBits());
2571   EXPECT_EQ(24u, i128hi104.countl_zero());
2572   EXPECT_EQ(0u, i128hi104.countl_one());
2573   EXPECT_EQ(104u, i128hi104.popcount());
2574 
2575   APInt i128hi0 = APInt::getAllOnes(128);
2576   i128hi0.clearHighBits(128);
2577   EXPECT_EQ(0u, i128hi0.countr_one());
2578   EXPECT_EQ(128u, i128hi0.countr_zero());
2579   EXPECT_EQ(0u, i128hi0.getActiveBits());
2580   EXPECT_EQ(128u, i128hi0.countl_zero());
2581   EXPECT_EQ(0u, i128hi0.countl_one());
2582   EXPECT_EQ(0u, i128hi0.popcount());
2583 
2584   APInt i80hi1 = APInt::getAllOnes(80);
2585   i80hi1.clearHighBits(79);
2586   EXPECT_EQ(1u, i80hi1.countr_one());
2587   EXPECT_EQ(0u, i80hi1.countr_zero());
2588   EXPECT_EQ(1u, i80hi1.getActiveBits());
2589   EXPECT_EQ(79u, i80hi1.countl_zero());
2590   EXPECT_EQ(0u, i80hi1.countl_one());
2591   EXPECT_EQ(1u, i80hi1.popcount());
2592 
2593   APInt i32hi16 = APInt::getAllOnes(32);
2594   i32hi16.clearHighBits(16);
2595   EXPECT_EQ(16u, i32hi16.countr_one());
2596   EXPECT_EQ(0u, i32hi16.countr_zero());
2597   EXPECT_EQ(16u, i32hi16.getActiveBits());
2598   EXPECT_EQ(16u, i32hi16.countl_zero());
2599   EXPECT_EQ(0u, i32hi16.countl_one());
2600   EXPECT_EQ(16u, i32hi16.popcount());
2601 }
2602 
2603 TEST(APIntTest, abds) {
2604   using APIntOps::abds;
2605 
2606   APInt MaxU1(1, 1, false);
2607   APInt MinU1(1, 0, false);
2608   EXPECT_EQ(1u, abds(MaxU1, MinU1).getZExtValue());
2609   EXPECT_EQ(1u, abds(MinU1, MaxU1).getZExtValue());
2610 
2611   APInt MaxU4(4, 15, false);
2612   APInt MinU4(4, 0, false);
2613   EXPECT_EQ(1, abds(MaxU4, MinU4).getSExtValue());
2614   EXPECT_EQ(1, abds(MinU4, MaxU4).getSExtValue());
2615 
2616   APInt MaxS8(8, 127, true);
2617   APInt MinS8(8, -128, true);
2618   EXPECT_EQ(-1, abds(MaxS8, MinS8).getSExtValue());
2619   EXPECT_EQ(-1, abds(MinS8, MaxS8).getSExtValue());
2620 
2621   APInt MaxU16(16, 65535, false);
2622   APInt MinU16(16, 0, false);
2623   EXPECT_EQ(1, abds(MaxU16, MinU16).getSExtValue());
2624   EXPECT_EQ(1, abds(MinU16, MaxU16).getSExtValue());
2625 
2626   APInt MaxS16(16, 32767, true);
2627   APInt MinS16(16, -32768, true);
2628   APInt ZeroS16(16, 0, true);
2629   EXPECT_EQ(-1, abds(MaxS16, MinS16).getSExtValue());
2630   EXPECT_EQ(-1, abds(MinS16, MaxS16).getSExtValue());
2631   EXPECT_EQ(32768u, abds(ZeroS16, MinS16));
2632   EXPECT_EQ(32768u, abds(MinS16, ZeroS16));
2633   EXPECT_EQ(32767u, abds(ZeroS16, MaxS16));
2634   EXPECT_EQ(32767u, abds(MaxS16, ZeroS16));
2635 }
2636 
2637 TEST(APIntTest, abdu) {
2638   using APIntOps::abdu;
2639 
2640   APInt MaxU1(1, 1, false);
2641   APInt MinU1(1, 0, false);
2642   EXPECT_EQ(1u, abdu(MaxU1, MinU1).getZExtValue());
2643   EXPECT_EQ(1u, abdu(MinU1, MaxU1).getZExtValue());
2644 
2645   APInt MaxU4(4, 15, false);
2646   APInt MinU4(4, 0, false);
2647   EXPECT_EQ(15u, abdu(MaxU4, MinU4).getZExtValue());
2648   EXPECT_EQ(15u, abdu(MinU4, MaxU4).getZExtValue());
2649 
2650   APInt MaxS8(8, 127, true);
2651   APInt MinS8(8, -128, true);
2652   EXPECT_EQ(1u, abdu(MaxS8, MinS8).getZExtValue());
2653   EXPECT_EQ(1u, abdu(MinS8, MaxS8).getZExtValue());
2654 
2655   APInt MaxU16(16, 65535, false);
2656   APInt MinU16(16, 0, false);
2657   EXPECT_EQ(65535u, abdu(MaxU16, MinU16).getZExtValue());
2658   EXPECT_EQ(65535u, abdu(MinU16, MaxU16).getZExtValue());
2659 
2660   APInt MaxS16(16, 32767, true);
2661   APInt MinS16(16, -32768, true);
2662   APInt ZeroS16(16, 0, true);
2663   EXPECT_EQ(1u, abdu(MaxS16, MinS16).getZExtValue());
2664   EXPECT_EQ(1u, abdu(MinS16, MaxS16).getZExtValue());
2665   EXPECT_EQ(32768u, abdu(ZeroS16, MinS16));
2666   EXPECT_EQ(32768u, abdu(MinS16, ZeroS16));
2667   EXPECT_EQ(32767u, abdu(ZeroS16, MaxS16));
2668   EXPECT_EQ(32767u, abdu(MaxS16, ZeroS16));
2669 }
2670 
2671 TEST(APIntTest, GCD) {
2672   using APIntOps::GreatestCommonDivisor;
2673 
2674   for (unsigned Bits : {1, 2, 32, 63, 64, 65}) {
2675     // Test some corner cases near zero.
2676     APInt Zero(Bits, 0), One(Bits, 1);
2677     EXPECT_EQ(GreatestCommonDivisor(Zero, Zero), Zero);
2678     EXPECT_EQ(GreatestCommonDivisor(Zero, One), One);
2679     EXPECT_EQ(GreatestCommonDivisor(One, Zero), One);
2680     EXPECT_EQ(GreatestCommonDivisor(One, One), One);
2681 
2682     if (Bits > 1) {
2683       APInt Two(Bits, 2);
2684       EXPECT_EQ(GreatestCommonDivisor(Zero, Two), Two);
2685       EXPECT_EQ(GreatestCommonDivisor(One, Two), One);
2686       EXPECT_EQ(GreatestCommonDivisor(Two, Two), Two);
2687 
2688       // Test some corner cases near the highest representable value.
2689       APInt Max(Bits, 0);
2690       Max.setAllBits();
2691       EXPECT_EQ(GreatestCommonDivisor(Zero, Max), Max);
2692       EXPECT_EQ(GreatestCommonDivisor(One, Max), One);
2693       EXPECT_EQ(GreatestCommonDivisor(Two, Max), One);
2694       EXPECT_EQ(GreatestCommonDivisor(Max, Max), Max);
2695 
2696       APInt MaxOver2 = Max.udiv(Two);
2697       EXPECT_EQ(GreatestCommonDivisor(MaxOver2, Max), One);
2698       // Max - 1 == Max / 2 * 2, because Max is odd.
2699       EXPECT_EQ(GreatestCommonDivisor(MaxOver2, Max - 1), MaxOver2);
2700     }
2701   }
2702 
2703   // Compute the 20th Mersenne prime.
2704   const unsigned BitWidth = 4450;
2705   APInt HugePrime = APInt::getLowBitsSet(BitWidth, 4423);
2706 
2707   // 9931 and 123456 are coprime.
2708   APInt A = HugePrime * APInt(BitWidth, 9931);
2709   APInt B = HugePrime * APInt(BitWidth, 123456);
2710   APInt C = GreatestCommonDivisor(A, B);
2711   EXPECT_EQ(C, HugePrime);
2712 }
2713 
2714 TEST(APIntTest, LogicalRightShift) {
2715   APInt i256(APInt::getHighBitsSet(256, 2));
2716 
2717   i256.lshrInPlace(1);
2718   EXPECT_EQ(1U, i256.countl_zero());
2719   EXPECT_EQ(253U, i256.countr_zero());
2720   EXPECT_EQ(2U, i256.popcount());
2721 
2722   i256.lshrInPlace(62);
2723   EXPECT_EQ(63U, i256.countl_zero());
2724   EXPECT_EQ(191U, i256.countr_zero());
2725   EXPECT_EQ(2U, i256.popcount());
2726 
2727   i256.lshrInPlace(65);
2728   EXPECT_EQ(128U, i256.countl_zero());
2729   EXPECT_EQ(126U, i256.countr_zero());
2730   EXPECT_EQ(2U, i256.popcount());
2731 
2732   i256.lshrInPlace(64);
2733   EXPECT_EQ(192U, i256.countl_zero());
2734   EXPECT_EQ(62U, i256.countr_zero());
2735   EXPECT_EQ(2U, i256.popcount());
2736 
2737   i256.lshrInPlace(63);
2738   EXPECT_EQ(255U, i256.countl_zero());
2739   EXPECT_EQ(0U, i256.countr_zero());
2740   EXPECT_EQ(1U, i256.popcount());
2741 
2742   // Ensure we handle large shifts of multi-word.
2743   const APInt neg_one(128, static_cast<uint64_t>(-1), true);
2744   EXPECT_EQ(0, neg_one.lshr(128));
2745 }
2746 
2747 TEST(APIntTest, ArithmeticRightShift) {
2748   APInt i72(APInt::getHighBitsSet(72, 1));
2749   i72.ashrInPlace(46);
2750   EXPECT_EQ(47U, i72.countl_one());
2751   EXPECT_EQ(25U, i72.countr_zero());
2752   EXPECT_EQ(47U, i72.popcount());
2753 
2754   i72 = APInt::getHighBitsSet(72, 1);
2755   i72.ashrInPlace(64);
2756   EXPECT_EQ(65U, i72.countl_one());
2757   EXPECT_EQ(7U, i72.countr_zero());
2758   EXPECT_EQ(65U, i72.popcount());
2759 
2760   APInt i128(APInt::getHighBitsSet(128, 1));
2761   i128.ashrInPlace(64);
2762   EXPECT_EQ(65U, i128.countl_one());
2763   EXPECT_EQ(63U, i128.countr_zero());
2764   EXPECT_EQ(65U, i128.popcount());
2765 
2766   // Ensure we handle large shifts of multi-word.
2767   const APInt signmin32(APInt::getSignedMinValue(32));
2768   EXPECT_TRUE(signmin32.ashr(32).isAllOnes());
2769 
2770   // Ensure we handle large shifts of multi-word.
2771   const APInt umax32(APInt::getSignedMaxValue(32));
2772   EXPECT_EQ(0, umax32.ashr(32));
2773 
2774   // Ensure we handle large shifts of multi-word.
2775   const APInt signmin128(APInt::getSignedMinValue(128));
2776   EXPECT_TRUE(signmin128.ashr(128).isAllOnes());
2777 
2778   // Ensure we handle large shifts of multi-word.
2779   const APInt umax128(APInt::getSignedMaxValue(128));
2780   EXPECT_EQ(0, umax128.ashr(128));
2781 }
2782 
2783 TEST(APIntTest, LeftShift) {
2784   APInt i256(APInt::getLowBitsSet(256, 2));
2785 
2786   i256 <<= 1;
2787   EXPECT_EQ(253U, i256.countl_zero());
2788   EXPECT_EQ(1U, i256.countr_zero());
2789   EXPECT_EQ(2U, i256.popcount());
2790 
2791   i256 <<= 62;
2792   EXPECT_EQ(191U, i256.countl_zero());
2793   EXPECT_EQ(63U, i256.countr_zero());
2794   EXPECT_EQ(2U, i256.popcount());
2795 
2796   i256 <<= 65;
2797   EXPECT_EQ(126U, i256.countl_zero());
2798   EXPECT_EQ(128U, i256.countr_zero());
2799   EXPECT_EQ(2U, i256.popcount());
2800 
2801   i256 <<= 64;
2802   EXPECT_EQ(62U, i256.countl_zero());
2803   EXPECT_EQ(192U, i256.countr_zero());
2804   EXPECT_EQ(2U, i256.popcount());
2805 
2806   i256 <<= 63;
2807   EXPECT_EQ(0U, i256.countl_zero());
2808   EXPECT_EQ(255U, i256.countr_zero());
2809   EXPECT_EQ(1U, i256.popcount());
2810 
2811   // Ensure we handle large shifts of multi-word.
2812   const APInt neg_one(128, static_cast<uint64_t>(-1), true);
2813   EXPECT_EQ(0, neg_one.shl(128));
2814 }
2815 
2816 TEST(APIntTest, isSubsetOf) {
2817   APInt i32_1(32, 1);
2818   APInt i32_2(32, 2);
2819   APInt i32_3(32, 3);
2820   EXPECT_FALSE(i32_3.isSubsetOf(i32_1));
2821   EXPECT_TRUE(i32_1.isSubsetOf(i32_3));
2822   EXPECT_FALSE(i32_2.isSubsetOf(i32_1));
2823   EXPECT_FALSE(i32_1.isSubsetOf(i32_2));
2824   EXPECT_TRUE(i32_3.isSubsetOf(i32_3));
2825 
2826   APInt i128_1(128, 1);
2827   APInt i128_2(128, 2);
2828   APInt i128_3(128, 3);
2829   EXPECT_FALSE(i128_3.isSubsetOf(i128_1));
2830   EXPECT_TRUE(i128_1.isSubsetOf(i128_3));
2831   EXPECT_FALSE(i128_2.isSubsetOf(i128_1));
2832   EXPECT_FALSE(i128_1.isSubsetOf(i128_2));
2833   EXPECT_TRUE(i128_3.isSubsetOf(i128_3));
2834 
2835   i128_1 <<= 64;
2836   i128_2 <<= 64;
2837   i128_3 <<= 64;
2838   EXPECT_FALSE(i128_3.isSubsetOf(i128_1));
2839   EXPECT_TRUE(i128_1.isSubsetOf(i128_3));
2840   EXPECT_FALSE(i128_2.isSubsetOf(i128_1));
2841   EXPECT_FALSE(i128_1.isSubsetOf(i128_2));
2842   EXPECT_TRUE(i128_3.isSubsetOf(i128_3));
2843 }
2844 
2845 TEST(APIntTest, sext) {
2846   EXPECT_EQ(0, APInt(1, 0).sext(64));
2847   EXPECT_EQ(~uint64_t(0), APInt(1, 1).sext(64));
2848 
2849   APInt i32_max(APInt::getSignedMaxValue(32).sext(63));
2850   EXPECT_EQ(i32_max, i32_max.sext(63));
2851   EXPECT_EQ(32U, i32_max.countl_zero());
2852   EXPECT_EQ(0U, i32_max.countr_zero());
2853   EXPECT_EQ(31U, i32_max.popcount());
2854 
2855   APInt i32_min(APInt::getSignedMinValue(32).sext(63));
2856   EXPECT_EQ(i32_min, i32_min.sext(63));
2857   EXPECT_EQ(32U, i32_min.countl_one());
2858   EXPECT_EQ(31U, i32_min.countr_zero());
2859   EXPECT_EQ(32U, i32_min.popcount());
2860 
2861   APInt i32_neg1(APInt(32, ~uint64_t(0)).sext(63));
2862   EXPECT_EQ(i32_neg1, i32_neg1.sext(63));
2863   EXPECT_EQ(63U, i32_neg1.countl_one());
2864   EXPECT_EQ(0U, i32_neg1.countr_zero());
2865   EXPECT_EQ(63U, i32_neg1.popcount());
2866 
2867   EXPECT_EQ(APInt(32u, 0), APInt(0u, 0).sext(32));
2868   EXPECT_EQ(APInt(64u, 0), APInt(0u, 0).sext(64));
2869 }
2870 
2871 TEST(APIntTest, trunc) {
2872   APInt val(32, 0xFFFFFFFF);
2873   EXPECT_EQ(0xFFFF, val.trunc(16));
2874   EXPECT_EQ(0xFFFFFFFF, val.trunc(32));
2875 }
2876 
2877 TEST(APIntTest, concat) {
2878   APInt Int1(4, 0x1ULL);
2879   APInt Int3(4, 0x3ULL);
2880 
2881   EXPECT_EQ(0x31, Int3.concat(Int1));
2882   EXPECT_EQ(APInt(12, 0x313), Int3.concat(Int1).concat(Int3));
2883   EXPECT_EQ(APInt(16, 0x3313), Int3.concat(Int3).concat(Int1).concat(Int3));
2884 
2885   APInt I64(64, 0x3ULL);
2886   EXPECT_EQ(I64, I64.concat(I64).lshr(64).trunc(64));
2887 
2888   APInt I65(65, 0x3ULL);
2889   APInt I0 = APInt::getZeroWidth();
2890   EXPECT_EQ(I65, I65.concat(I0));
2891   EXPECT_EQ(I65, I0.concat(I65));
2892 }
2893 
2894 TEST(APIntTest, multiply) {
2895   APInt i64(64, 1234);
2896 
2897   EXPECT_EQ(7006652, i64 * 5678);
2898   EXPECT_EQ(7006652, 5678 * i64);
2899 
2900   APInt i128 = APInt::getOneBitSet(128, 64);
2901   APInt i128_1234(128, 1234);
2902   i128_1234 <<= 64;
2903   EXPECT_EQ(i128_1234, i128 * 1234);
2904   EXPECT_EQ(i128_1234, 1234 * i128);
2905 
2906   APInt i96 = APInt::getOneBitSet(96, 64);
2907   i96 *= ~0ULL;
2908   EXPECT_EQ(32U, i96.countl_one());
2909   EXPECT_EQ(32U, i96.popcount());
2910   EXPECT_EQ(64U, i96.countr_zero());
2911 }
2912 
2913 TEST(APIntOpsTest, Mulh) {
2914 
2915   // Unsigned
2916 
2917   // 32 bits
2918   APInt i32a(32, 0x0001'E235);
2919   APInt i32b(32, 0xF623'55AD);
2920   EXPECT_EQ(0x0001'CFA1, APIntOps::mulhu(i32a, i32b));
2921 
2922   // 64 bits
2923   APInt i64a(64, 0x1234'5678'90AB'CDEF);
2924   APInt i64b(64, 0xFEDC'BA09'8765'4321);
2925   EXPECT_EQ(0x121F'A000'A372'3A57, APIntOps::mulhu(i64a, i64b));
2926 
2927   // 128 bits
2928   APInt i128a(128, "1234567890ABCDEF1234567890ABCDEF", 16);
2929   APInt i128b(128, "FEDCBA0987654321FEDCBA0987654321", 16);
2930   APInt i128Res = APIntOps::mulhu(i128a, i128b);
2931   EXPECT_EQ(APInt(128, "121FA000A3723A57E68984312C3A8D7E", 16), i128Res);
2932 
2933   // Signed
2934 
2935   // 32 bits
2936   APInt i32c(32, 0x1234'5678); // +ve
2937   APInt i32d(32, 0x10AB'CDEF); // +ve
2938   APInt i32e(32, 0xFEDC'BA09); // -ve
2939 
2940   EXPECT_EQ(0x012F'7D02, APIntOps::mulhs(i32c, i32d));
2941   EXPECT_EQ(0xFFEB'4988, APIntOps::mulhs(i32c, i32e));
2942   EXPECT_EQ(0x0001'4B68, APIntOps::mulhs(i32e, i32e));
2943 
2944   // 64 bits
2945   APInt i64c(64, 0x1234'5678'90AB'CDEF); // +ve
2946   APInt i64d(64, 0x1234'5678'90FE'DCBA); // +ve
2947   APInt i64e(64, 0xFEDC'BA09'8765'4321); // -ve
2948 
2949   EXPECT_EQ(0x014B'66DC'328E'10C1, APIntOps::mulhs(i64c, i64d));
2950   EXPECT_EQ(0xFFEB'4988'12C6'6C68, APIntOps::mulhs(i64c, i64e));
2951   EXPECT_EQ(0x0001'4B68'2174'FA18, APIntOps::mulhs(i64e, i64e));
2952 
2953   // 128 bits
2954   APInt i128c(128, "1234567890ABCDEF1234567890ABCDEF", 16); // +ve
2955   APInt i128d(128, "1234567890FEDCBA1234567890FEDCBA", 16); // +ve
2956   APInt i128e(128, "FEDCBA0987654321FEDCBA0987654321", 16); // -ve
2957 
2958   i128Res = APIntOps::mulhs(i128c, i128d);
2959   EXPECT_EQ(APInt(128, "14B66DC328E10C1FE303DF9EA0B2529", 16), i128Res);
2960 
2961   i128Res = APIntOps::mulhs(i128c, i128e);
2962   EXPECT_EQ(APInt(128, "FFEB498812C66C68D4552DB89B8EBF8F", 16), i128Res);
2963 }
2964 
2965 TEST(APIntTest, RoundingUDiv) {
2966   for (uint64_t Ai = 1; Ai <= 255; Ai++) {
2967     APInt A(8, Ai);
2968     APInt Zero(8, 0);
2969     EXPECT_EQ(0, APIntOps::RoundingUDiv(Zero, A, APInt::Rounding::UP));
2970     EXPECT_EQ(0, APIntOps::RoundingUDiv(Zero, A, APInt::Rounding::DOWN));
2971     EXPECT_EQ(0, APIntOps::RoundingUDiv(Zero, A, APInt::Rounding::TOWARD_ZERO));
2972 
2973     for (uint64_t Bi = 1; Bi <= 255; Bi++) {
2974       APInt B(8, Bi);
2975       {
2976         APInt Quo = APIntOps::RoundingUDiv(A, B, APInt::Rounding::UP);
2977         auto Prod = Quo.zext(16) * B.zext(16);
2978         EXPECT_TRUE(Prod.uge(Ai));
2979         if (Prod.ugt(Ai)) {
2980           EXPECT_TRUE(((Quo - 1).zext(16) * B.zext(16)).ult(Ai));
2981         }
2982       }
2983       {
2984         APInt Quo = A.udiv(B);
2985         EXPECT_EQ(Quo, APIntOps::RoundingUDiv(A, B, APInt::Rounding::TOWARD_ZERO));
2986         EXPECT_EQ(Quo, APIntOps::RoundingUDiv(A, B, APInt::Rounding::DOWN));
2987       }
2988     }
2989   }
2990 }
2991 
2992 TEST(APIntTest, RoundingSDiv) {
2993   for (int64_t Ai = -128; Ai <= 127; Ai++) {
2994     APInt A(8, Ai);
2995 
2996     if (Ai != 0) {
2997       APInt Zero(8, 0);
2998       EXPECT_EQ(0, APIntOps::RoundingSDiv(Zero, A, APInt::Rounding::UP));
2999       EXPECT_EQ(0, APIntOps::RoundingSDiv(Zero, A, APInt::Rounding::DOWN));
3000       EXPECT_EQ(0, APIntOps::RoundingSDiv(Zero, A, APInt::Rounding::TOWARD_ZERO));
3001     }
3002 
3003     for (int64_t Bi = -128; Bi <= 127; Bi++) {
3004       if (Bi == 0)
3005         continue;
3006 
3007       APInt B(8, Bi);
3008       APInt QuoTowardZero = A.sdiv(B);
3009       {
3010         APInt Quo = APIntOps::RoundingSDiv(A, B, APInt::Rounding::UP);
3011         if (A.srem(B).isZero()) {
3012           EXPECT_EQ(QuoTowardZero, Quo);
3013         } else if (A.isNegative() !=
3014                    B.isNegative()) { // if the math quotient is negative.
3015           EXPECT_EQ(QuoTowardZero, Quo);
3016         } else {
3017           EXPECT_EQ(QuoTowardZero + 1, Quo);
3018         }
3019       }
3020       {
3021         APInt Quo = APIntOps::RoundingSDiv(A, B, APInt::Rounding::DOWN);
3022         if (A.srem(B).isZero()) {
3023           EXPECT_EQ(QuoTowardZero, Quo);
3024         } else if (A.isNegative() !=
3025                    B.isNegative()) { // if the math quotient is negative.
3026           EXPECT_EQ(QuoTowardZero - 1, Quo);
3027         } else {
3028           EXPECT_EQ(QuoTowardZero, Quo);
3029         }
3030       }
3031       EXPECT_EQ(QuoTowardZero,
3032                 APIntOps::RoundingSDiv(A, B, APInt::Rounding::TOWARD_ZERO));
3033     }
3034   }
3035 }
3036 
3037 TEST(APIntTest, Average) {
3038   APInt A0(32, 0);
3039   APInt A2(32, 2);
3040   APInt A100(32, 100);
3041   APInt A101(32, 101);
3042   APInt A200(32, 200, false);
3043   APInt ApUMax = APInt::getMaxValue(32);
3044 
3045   EXPECT_EQ(APInt(32, 150), APIntOps::avgFloorU(A100, A200));
3046   EXPECT_EQ(APIntOps::RoundingUDiv(A100 + A200, A2, APInt::Rounding::DOWN),
3047             APIntOps::avgFloorU(A100, A200));
3048   EXPECT_EQ(APIntOps::RoundingUDiv(A100 + A200, A2, APInt::Rounding::UP),
3049             APIntOps::avgCeilU(A100, A200));
3050   EXPECT_EQ(APIntOps::RoundingUDiv(A100 + A101, A2, APInt::Rounding::DOWN),
3051             APIntOps::avgFloorU(A100, A101));
3052   EXPECT_EQ(APIntOps::RoundingUDiv(A100 + A101, A2, APInt::Rounding::UP),
3053             APIntOps::avgCeilU(A100, A101));
3054   EXPECT_EQ(A0, APIntOps::avgFloorU(A0, A0));
3055   EXPECT_EQ(A0, APIntOps::avgCeilU(A0, A0));
3056   EXPECT_EQ(ApUMax, APIntOps::avgFloorU(ApUMax, ApUMax));
3057   EXPECT_EQ(ApUMax, APIntOps::avgCeilU(ApUMax, ApUMax));
3058   EXPECT_EQ(APIntOps::RoundingUDiv(ApUMax, A2, APInt::Rounding::DOWN),
3059             APIntOps::avgFloorU(A0, ApUMax));
3060   EXPECT_EQ(APIntOps::RoundingUDiv(ApUMax, A2, APInt::Rounding::UP),
3061             APIntOps::avgCeilU(A0, ApUMax));
3062 
3063   APInt Ap100(32, +100);
3064   APInt Ap101(32, +101);
3065   APInt Ap200(32, +200);
3066   APInt Am1(32, -1);
3067   APInt Am100(32, -100);
3068   APInt Am101(32, -101);
3069   APInt Am200(32, -200);
3070   APInt AmSMin = APInt::getSignedMinValue(32);
3071   APInt ApSMax = APInt::getSignedMaxValue(32);
3072 
3073   EXPECT_EQ(APInt(32, +150), APIntOps::avgFloorS(Ap100, Ap200));
3074   EXPECT_EQ(APIntOps::RoundingSDiv(Ap100 + Ap200, A2, APInt::Rounding::DOWN),
3075             APIntOps::avgFloorS(Ap100, Ap200));
3076   EXPECT_EQ(APIntOps::RoundingSDiv(Ap100 + Ap200, A2, APInt::Rounding::UP),
3077             APIntOps::avgCeilS(Ap100, Ap200));
3078 
3079   EXPECT_EQ(APInt(32, -150), APIntOps::avgFloorS(Am100, Am200));
3080   EXPECT_EQ(APIntOps::RoundingSDiv(Am100 + Am200, A2, APInt::Rounding::DOWN),
3081             APIntOps::avgFloorS(Am100, Am200));
3082   EXPECT_EQ(APIntOps::RoundingSDiv(Am100 + Am200, A2, APInt::Rounding::UP),
3083             APIntOps::avgCeilS(Am100, Am200));
3084 
3085   EXPECT_EQ(APInt(32, +100), APIntOps::avgFloorS(Ap100, Ap101));
3086   EXPECT_EQ(APIntOps::RoundingSDiv(Ap100 + Ap101, A2, APInt::Rounding::DOWN),
3087             APIntOps::avgFloorS(Ap100, Ap101));
3088   EXPECT_EQ(APInt(32, +101), APIntOps::avgCeilS(Ap100, Ap101));
3089   EXPECT_EQ(APIntOps::RoundingSDiv(Ap100 + Ap101, A2, APInt::Rounding::UP),
3090             APIntOps::avgCeilS(Ap100, Ap101));
3091 
3092   EXPECT_EQ(APInt(32, -101), APIntOps::avgFloorS(Am100, Am101));
3093   EXPECT_EQ(APIntOps::RoundingSDiv(Am100 + Am101, A2, APInt::Rounding::DOWN),
3094             APIntOps::avgFloorS(Am100, Am101));
3095   EXPECT_EQ(APInt(32, -100), APIntOps::avgCeilS(Am100, Am101));
3096   EXPECT_EQ(APIntOps::RoundingSDiv(Am100 + Am101, A2, APInt::Rounding::UP),
3097             APIntOps::avgCeilS(Am100, Am101));
3098 
3099   EXPECT_EQ(AmSMin, APIntOps::avgFloorS(AmSMin, AmSMin));
3100   EXPECT_EQ(AmSMin, APIntOps::avgCeilS(AmSMin, AmSMin));
3101 
3102   EXPECT_EQ(APIntOps::RoundingSDiv(AmSMin, A2, APInt::Rounding::DOWN),
3103             APIntOps::avgFloorS(A0, AmSMin));
3104   EXPECT_EQ(APIntOps::RoundingSDiv(AmSMin, A2, APInt::Rounding::UP),
3105             APIntOps::avgCeilS(A0, AmSMin));
3106 
3107   EXPECT_EQ(A0, APIntOps::avgFloorS(A0, A0));
3108   EXPECT_EQ(A0, APIntOps::avgCeilS(A0, A0));
3109 
3110   EXPECT_EQ(Am1, APIntOps::avgFloorS(AmSMin, ApSMax));
3111   EXPECT_EQ(A0, APIntOps::avgCeilS(AmSMin, ApSMax));
3112 
3113   EXPECT_EQ(APIntOps::RoundingSDiv(ApSMax, A2, APInt::Rounding::DOWN),
3114             APIntOps::avgFloorS(A0, ApSMax));
3115   EXPECT_EQ(APIntOps::RoundingSDiv(ApSMax, A2, APInt::Rounding::UP),
3116             APIntOps::avgCeilS(A0, ApSMax));
3117 
3118   EXPECT_EQ(ApSMax, APIntOps::avgFloorS(ApSMax, ApSMax));
3119   EXPECT_EQ(ApSMax, APIntOps::avgCeilS(ApSMax, ApSMax));
3120 }
3121 
3122 TEST(APIntTest, umul_ov) {
3123   const std::pair<uint64_t, uint64_t> Overflows[] = {
3124       {0x8000000000000000, 2},
3125       {0x5555555555555556, 3},
3126       {4294967296, 4294967296},
3127       {4294967295, 4294967298},
3128   };
3129   const std::pair<uint64_t, uint64_t> NonOverflows[] = {
3130       {0x7fffffffffffffff, 2},
3131       {0x5555555555555555, 3},
3132       {4294967295, 4294967297},
3133   };
3134 
3135   bool Overflow;
3136   for (auto &X : Overflows) {
3137     APInt A(64, X.first);
3138     APInt B(64, X.second);
3139     (void)A.umul_ov(B, Overflow);
3140     EXPECT_TRUE(Overflow);
3141   }
3142   for (auto &X : NonOverflows) {
3143     APInt A(64, X.first);
3144     APInt B(64, X.second);
3145     (void)A.umul_ov(B, Overflow);
3146     EXPECT_FALSE(Overflow);
3147   }
3148 
3149   for (unsigned Bits = 1; Bits <= 5; ++Bits)
3150     for (unsigned A = 0; A != 1u << Bits; ++A)
3151       for (unsigned B = 0; B != 1u << Bits; ++B) {
3152         APInt N1 = APInt(Bits, A), N2 = APInt(Bits, B);
3153         APInt Narrow = N1.umul_ov(N2, Overflow);
3154         APInt Wide = N1.zext(2 * Bits) * N2.zext(2 * Bits);
3155         EXPECT_EQ(Wide.trunc(Bits), Narrow);
3156         EXPECT_EQ(Narrow.zext(2 * Bits) != Wide, Overflow);
3157       }
3158 }
3159 
3160 TEST(APIntTest, smul_ov) {
3161   for (unsigned Bits = 1; Bits <= 5; ++Bits)
3162     for (unsigned A = 0; A != 1u << Bits; ++A)
3163       for (unsigned B = 0; B != 1u << Bits; ++B) {
3164         bool Overflow;
3165         APInt N1 = APInt(Bits, A), N2 = APInt(Bits, B);
3166         APInt Narrow = N1.smul_ov(N2, Overflow);
3167         APInt Wide = N1.sext(2 * Bits) * N2.sext(2 * Bits);
3168         EXPECT_EQ(Wide.trunc(Bits), Narrow);
3169         EXPECT_EQ(Narrow.sext(2 * Bits) != Wide, Overflow);
3170       }
3171 }
3172 
3173 TEST(APIntTest, sfloordiv_ov) {
3174   // int16 test overflow
3175   {
3176     using IntTy = int16_t;
3177     APInt divisor(8 * sizeof(IntTy), std::numeric_limits<IntTy>::lowest(),
3178                   true);
3179     APInt dividend(8 * sizeof(IntTy), IntTy(-1), true);
3180     bool Overflow = false;
3181     (void)divisor.sfloordiv_ov(dividend, Overflow);
3182     EXPECT_TRUE(Overflow);
3183   }
3184   // int32 test overflow
3185   {
3186     using IntTy = int32_t;
3187     APInt divisor(8 * sizeof(IntTy), std::numeric_limits<IntTy>::lowest(),
3188                   true);
3189     APInt dividend(8 * sizeof(IntTy), IntTy(-1), true);
3190     bool Overflow = false;
3191     (void)divisor.sfloordiv_ov(dividend, Overflow);
3192     EXPECT_TRUE(Overflow);
3193   }
3194   // int64 test overflow
3195   {
3196     using IntTy = int64_t;
3197     APInt divisor(8 * sizeof(IntTy), std::numeric_limits<IntTy>::lowest(),
3198                   true);
3199     APInt dividend(8 * sizeof(IntTy), IntTy(-1), true);
3200     bool Overflow = false;
3201     (void)divisor.sfloordiv_ov(dividend, Overflow);
3202     EXPECT_TRUE(Overflow);
3203   }
3204   // test all of int8
3205   {
3206     bool Overflow = false;
3207     for (int i = -128; i < 128; ++i) {
3208       for (int j = -128; j < 128; ++j) {
3209         if (j == 0)
3210           continue;
3211 
3212         int8_t a = static_cast<int8_t>(i);
3213         int8_t b = static_cast<int8_t>(j);
3214 
3215         APInt divisor(8, a, true);
3216         APInt dividend(8, b, true);
3217         APInt quotient = divisor.sfloordiv_ov(dividend, Overflow);
3218 
3219         if (i == -128 && j == -1) {
3220           EXPECT_TRUE(Overflow);
3221           continue;
3222         }
3223 
3224         if (((i >= 0 && j > 0) || (i <= 0 && j < 0)) ||
3225             (i % j == 0)) // if quotient >= 0 and remain == 0 floordiv
3226                           // equivalent to div
3227           EXPECT_EQ(quotient.getSExtValue(), a / b);
3228         else
3229           EXPECT_EQ(quotient.getSExtValue(), a / b - 1);
3230         EXPECT_FALSE(Overflow);
3231       }
3232     }
3233   }
3234 }
3235 
3236 TEST(APIntTest, SolveQuadraticEquationWrap) {
3237   // Verify that "Solution" is the first non-negative integer that solves
3238   // Ax^2 + Bx + C = "0 or overflow", i.e. that it is a correct solution
3239   // as calculated by SolveQuadraticEquationWrap.
3240   auto Validate = [] (int A, int B, int C, unsigned Width, int Solution) {
3241     int Mask = (1 << Width) - 1;
3242 
3243     // Solution should be non-negative.
3244     EXPECT_GE(Solution, 0);
3245 
3246     auto OverflowBits = [] (int64_t V, unsigned W) {
3247       return V & -(1 << W);
3248     };
3249 
3250     int64_t Over0 = OverflowBits(C, Width);
3251 
3252     auto IsZeroOrOverflow = [&] (int X) {
3253       int64_t ValueAtX = A*X*X + B*X + C;
3254       int64_t OverX = OverflowBits(ValueAtX, Width);
3255       return (ValueAtX & Mask) == 0 || OverX != Over0;
3256     };
3257 
3258     auto EquationToString = [&] (const char *X_str) {
3259       return (Twine(A) + Twine(X_str) + Twine("^2 + ") + Twine(B) +
3260               Twine(X_str) + Twine(" + ") + Twine(C) + Twine(", bitwidth: ") +
3261               Twine(Width)).str();
3262     };
3263 
3264     auto IsSolution = [&] (const char *X_str, int X) {
3265       if (IsZeroOrOverflow(X))
3266         return ::testing::AssertionSuccess()
3267                   << X << " is a solution of " << EquationToString(X_str);
3268       return ::testing::AssertionFailure()
3269                 << X << " is not an expected solution of "
3270                 << EquationToString(X_str);
3271     };
3272 
3273     auto IsNotSolution = [&] (const char *X_str, int X) {
3274       if (!IsZeroOrOverflow(X))
3275         return ::testing::AssertionSuccess()
3276                   << X << " is not a solution of " << EquationToString(X_str);
3277       return ::testing::AssertionFailure()
3278                 << X << " is an unexpected solution of "
3279                 << EquationToString(X_str);
3280     };
3281 
3282     // This is the important part: make sure that there is no solution that
3283     // is less than the calculated one.
3284     if (Solution > 0) {
3285       for (int X = 1; X < Solution-1; ++X)
3286         EXPECT_PRED_FORMAT1(IsNotSolution, X);
3287     }
3288 
3289     // Verify that the calculated solution is indeed a solution.
3290     EXPECT_PRED_FORMAT1(IsSolution, Solution);
3291   };
3292 
3293   // Generate all possible quadratic equations with Width-bit wide integer
3294   // coefficients, get the solution from SolveQuadraticEquationWrap, and
3295   // verify that the solution is correct.
3296   auto Iterate = [&] (unsigned Width) {
3297     assert(1 < Width && Width < 32);
3298     int Low = -(1 << (Width-1));
3299     int High = (1 << (Width-1));
3300 
3301     for (int A = Low; A != High; ++A) {
3302       if (A == 0)
3303         continue;
3304       for (int B = Low; B != High; ++B) {
3305         for (int C = Low; C != High; ++C) {
3306           std::optional<APInt> S = APIntOps::SolveQuadraticEquationWrap(
3307               APInt(Width, A), APInt(Width, B), APInt(Width, C), Width);
3308           if (S)
3309             Validate(A, B, C, Width, S->getSExtValue());
3310         }
3311       }
3312     }
3313   };
3314 
3315   // Test all widths in [2..6].
3316   for (unsigned i = 2; i <= 6; ++i)
3317     Iterate(i);
3318 }
3319 
3320 TEST(APIntTest, MultiplicativeInverseExaustive) {
3321   for (unsigned BitWidth = 1; BitWidth <= 8; ++BitWidth) {
3322     for (unsigned Value = 1; Value < (1u << BitWidth); Value += 2) {
3323       // Multiplicative inverse exists for all odd numbers.
3324       APInt V = APInt(BitWidth, Value);
3325       EXPECT_EQ(V * V.multiplicativeInverse(), 1);
3326     }
3327   }
3328 }
3329 
3330 TEST(APIntTest, GetMostSignificantDifferentBit) {
3331   EXPECT_EQ(APIntOps::GetMostSignificantDifferentBit(APInt(8, 0), APInt(8, 0)),
3332             std::nullopt);
3333   EXPECT_EQ(
3334       APIntOps::GetMostSignificantDifferentBit(APInt(8, 42), APInt(8, 42)),
3335       std::nullopt);
3336   EXPECT_EQ(*APIntOps::GetMostSignificantDifferentBit(APInt(8, 0), APInt(8, 1)),
3337             0u);
3338   EXPECT_EQ(*APIntOps::GetMostSignificantDifferentBit(APInt(8, 0), APInt(8, 2)),
3339             1u);
3340   EXPECT_EQ(*APIntOps::GetMostSignificantDifferentBit(APInt(8, 0), APInt(8, 3)),
3341             1u);
3342   EXPECT_EQ(*APIntOps::GetMostSignificantDifferentBit(APInt(8, 1), APInt(8, 0)),
3343             0u);
3344   EXPECT_EQ(APIntOps::GetMostSignificantDifferentBit(APInt(8, 1), APInt(8, 1)),
3345             std::nullopt);
3346   EXPECT_EQ(*APIntOps::GetMostSignificantDifferentBit(APInt(8, 1), APInt(8, 2)),
3347             1u);
3348   EXPECT_EQ(*APIntOps::GetMostSignificantDifferentBit(APInt(8, 1), APInt(8, 3)),
3349             1u);
3350   EXPECT_EQ(
3351       *APIntOps::GetMostSignificantDifferentBit(APInt(8, 42), APInt(8, 112)),
3352       6u);
3353 }
3354 
3355 TEST(APIntTest, GetMostSignificantDifferentBitExaustive) {
3356   auto GetHighestDifferentBitBruteforce =
3357       [](const APInt &V0, const APInt &V1) -> std::optional<unsigned> {
3358     assert(V0.getBitWidth() == V1.getBitWidth() && "Must have same bitwidth");
3359     if (V0 == V1)
3360       return std::nullopt; // Bitwise identical.
3361     // There is a mismatch. Let's find the most significant different bit.
3362     for (int Bit = V0.getBitWidth() - 1; Bit >= 0; --Bit) {
3363       if (V0[Bit] == V1[Bit])
3364         continue;
3365       return Bit;
3366     }
3367     llvm_unreachable("Must have found bit mismatch.");
3368   };
3369 
3370   for (unsigned BitWidth = 1; BitWidth <= 8; ++BitWidth) {
3371     for (unsigned V0 = 0; V0 < (1u << BitWidth); ++V0) {
3372       for (unsigned V1 = 0; V1 < (1u << BitWidth); ++V1) {
3373         APInt A = APInt(BitWidth, V0);
3374         APInt B = APInt(BitWidth, V1);
3375 
3376         auto Bit = APIntOps::GetMostSignificantDifferentBit(A, B);
3377         EXPECT_EQ(Bit, GetHighestDifferentBitBruteforce(A, B));
3378 
3379         if (!Bit)
3380           EXPECT_EQ(A, B);
3381         else {
3382           EXPECT_NE(A, B);
3383           for (unsigned NumLowBits = 0; NumLowBits <= BitWidth; ++NumLowBits) {
3384             APInt Adash = A;
3385             Adash.clearLowBits(NumLowBits);
3386             APInt Bdash = B;
3387             Bdash.clearLowBits(NumLowBits);
3388             // Clearing only low bits up to and including *Bit is sufficient
3389             // to make values equal.
3390             if (NumLowBits >= 1 + *Bit)
3391               EXPECT_EQ(Adash, Bdash);
3392             else
3393               EXPECT_NE(Adash, Bdash);
3394           }
3395         }
3396       }
3397     }
3398   }
3399 }
3400 
3401 TEST(APIntTest, SignbitZeroChecks) {
3402   EXPECT_TRUE(APInt(8, -1).isNegative());
3403   EXPECT_FALSE(APInt(8, -1).isNonNegative());
3404   EXPECT_FALSE(APInt(8, -1).isStrictlyPositive());
3405   EXPECT_TRUE(APInt(8, -1).isNonPositive());
3406 
3407   EXPECT_FALSE(APInt(8, 0).isNegative());
3408   EXPECT_TRUE(APInt(8, 0).isNonNegative());
3409   EXPECT_FALSE(APInt(8, 0).isStrictlyPositive());
3410   EXPECT_TRUE(APInt(8, 0).isNonPositive());
3411 
3412   EXPECT_FALSE(APInt(8, 1).isNegative());
3413   EXPECT_TRUE(APInt(8, 1).isNonNegative());
3414   EXPECT_TRUE(APInt(8, 1).isStrictlyPositive());
3415   EXPECT_FALSE(APInt(8, 1).isNonPositive());
3416 }
3417 
3418 TEST(APIntTest, ZeroWidth) {
3419   // Zero width Constructors.
3420   auto ZW = APInt::getZeroWidth();
3421   EXPECT_EQ(0U, ZW.getBitWidth());
3422   EXPECT_EQ(0U, APInt(0, ArrayRef<uint64_t>({0, 1, 2})).getBitWidth());
3423   EXPECT_EQ(0U, APInt(0, "0", 10).getBitWidth());
3424 
3425   // Default constructor is single bit wide.
3426   EXPECT_EQ(1U, APInt().getBitWidth());
3427 
3428   // Copy ctor (move is down below).
3429   APInt ZW2(ZW);
3430   EXPECT_EQ(0U, ZW2.getBitWidth());
3431   // Assignment
3432   ZW = ZW2;
3433   EXPECT_EQ(0U, ZW.getBitWidth());
3434 
3435   // Methods like getLowBitsSet work with zero bits.
3436   EXPECT_EQ(0U, APInt::getLowBitsSet(0, 0).getBitWidth());
3437   EXPECT_EQ(0U, APInt::getSplat(0, ZW).getBitWidth());
3438   EXPECT_EQ(0U, APInt(4, 10).extractBits(0, 2).getBitWidth());
3439   EXPECT_EQ(0U, APInt(4, 10).extractBitsAsZExtValue(0, 2));
3440 
3441   // Logical operators.
3442   ZW |= ZW2;
3443   ZW &= ZW2;
3444   ZW ^= ZW2;
3445   ZW |= 42; // These ignore high bits of the literal.
3446   ZW &= 42;
3447   ZW ^= 42;
3448   EXPECT_EQ(1, ZW.isIntN(0));
3449 
3450   // Modulo Arithmetic.  Divide/Rem aren't defined on division by zero, so they
3451   // aren't supported.
3452   ZW += ZW2;
3453   ZW -= ZW2;
3454   ZW *= ZW2;
3455 
3456   // Logical Shifts and rotates, the amount must be <= bitwidth.
3457   ZW <<= 0;
3458   ZW.lshrInPlace(0);
3459   (void)ZW.rotl(0);
3460   (void)ZW.rotr(0);
3461 
3462   // Comparisons.
3463   EXPECT_EQ(1, ZW == ZW);
3464   EXPECT_EQ(0, ZW != ZW);
3465   EXPECT_EQ(0, ZW.ult(ZW));
3466 
3467   // Mutations.
3468   ZW.setBitsWithWrap(0, 0);
3469   ZW.setBits(0, 0);
3470   ZW.clearAllBits();
3471   ZW.flipAllBits();
3472 
3473   // Leading, trailing, ctpop, etc
3474   EXPECT_EQ(0U, ZW.countl_zero());
3475   EXPECT_EQ(0U, ZW.countl_one());
3476   EXPECT_EQ(0U, ZW.popcount());
3477   EXPECT_EQ(0U, ZW.reverseBits().getBitWidth());
3478   EXPECT_EQ(0U, ZW.getHiBits(0).getBitWidth());
3479   EXPECT_EQ(0U, ZW.getLoBits(0).getBitWidth());
3480   EXPECT_EQ(0, ZW.zext(4));
3481   EXPECT_EQ(0U, APInt(4, 3).trunc(0).getBitWidth());
3482   EXPECT_TRUE(ZW.isAllOnes());
3483 
3484   // Zero extension.
3485   EXPECT_EQ(0U, ZW.getZExtValue());
3486 
3487   SmallString<42> STR;
3488   ZW.toStringUnsigned(STR);
3489   EXPECT_EQ("0", STR);
3490 
3491   // Move ctor (keep at the end of the method since moves are destructive).
3492   APInt MZW1(std::move(ZW));
3493   EXPECT_EQ(0U, MZW1.getBitWidth());
3494   // Move Assignment
3495   MZW1 = std::move(ZW2);
3496   EXPECT_EQ(0U, MZW1.getBitWidth());
3497 }
3498 
3499 TEST(APIntTest, ScaleBitMask) {
3500   EXPECT_EQ(APIntOps::ScaleBitMask(APInt(2, 0x00), 8), APInt(8, 0x00));
3501   EXPECT_EQ(APIntOps::ScaleBitMask(APInt(2, 0x01), 8), APInt(8, 0x0F));
3502   EXPECT_EQ(APIntOps::ScaleBitMask(APInt(2, 0x02), 8), APInt(8, 0xF0));
3503   EXPECT_EQ(APIntOps::ScaleBitMask(APInt(2, 0x03), 8), APInt(8, 0xFF));
3504 
3505   EXPECT_EQ(APIntOps::ScaleBitMask(APInt(8, 0x00), 4), APInt(4, 0x00));
3506   EXPECT_EQ(APIntOps::ScaleBitMask(APInt(8, 0xFF), 4), APInt(4, 0x0F));
3507   EXPECT_EQ(APIntOps::ScaleBitMask(APInt(8, 0xE4), 4), APInt(4, 0x0E));
3508 
3509   EXPECT_EQ(APIntOps::ScaleBitMask(APInt(8, 0x00), 8), APInt(8, 0x00));
3510 
3511   EXPECT_EQ(APIntOps::ScaleBitMask(APInt::getZero(1024), 4096),
3512             APInt::getZero(4096));
3513   EXPECT_EQ(APIntOps::ScaleBitMask(APInt::getAllOnes(4096), 256),
3514             APInt::getAllOnes(256));
3515   EXPECT_EQ(APIntOps::ScaleBitMask(APInt::getOneBitSet(4096, 32), 256),
3516             APInt::getOneBitSet(256, 2));
3517 
3518   EXPECT_EQ(APIntOps::ScaleBitMask(APInt(2, 0x00), 8, true), APInt(8, 0x00));
3519   EXPECT_EQ(APIntOps::ScaleBitMask(APInt(2, 0x01), 8, true), APInt(8, 0x0F));
3520   EXPECT_EQ(APIntOps::ScaleBitMask(APInt(2, 0x02), 8, true), APInt(8, 0xF0));
3521   EXPECT_EQ(APIntOps::ScaleBitMask(APInt(2, 0x03), 8, true), APInt(8, 0xFF));
3522 
3523   EXPECT_EQ(APIntOps::ScaleBitMask(APInt(8, 0x00), 4, true), APInt(4, 0x00));
3524   EXPECT_EQ(APIntOps::ScaleBitMask(APInt(8, 0xFF), 4, true), APInt(4, 0x0F));
3525   EXPECT_EQ(APIntOps::ScaleBitMask(APInt(8, 0xE4), 4, true), APInt(4, 0x08));
3526 }
3527 
3528 TEST(APIntTest, DenseMap) {
3529   DenseMap<APInt, int> Map;
3530   APInt ZeroWidthInt(0, 0, false);
3531   Map.insert({ZeroWidthInt, 0});
3532   Map.find(ZeroWidthInt);
3533 }
3534 
3535 TEST(APIntTest, TryExt) {
3536   APInt small(32, 42);
3537   APInt large(128, {0xffff, 0xffff});
3538   ASSERT_TRUE(small.tryZExtValue().has_value());
3539   ASSERT_TRUE(small.trySExtValue().has_value());
3540   ASSERT_FALSE(large.tryZExtValue().has_value());
3541   ASSERT_FALSE(large.trySExtValue().has_value());
3542   ASSERT_EQ(small.trySExtValue().value_or(41), 42);
3543   ASSERT_EQ(large.trySExtValue().value_or(41), 41);
3544 
3545   APInt negOne32(32, 0);
3546   negOne32.setAllBits();
3547   ASSERT_EQ(negOne32.trySExtValue().value_or(42), -1);
3548   APInt negOne64(64, 0);
3549   negOne64.setAllBits();
3550   ASSERT_EQ(negOne64.trySExtValue().value_or(42), -1);
3551   APInt negOne128(128, 0);
3552   negOne128.setAllBits();
3553   ASSERT_EQ(negOne128.trySExtValue().value_or(42), -1);
3554   ASSERT_EQ(42, APInt(128, -1).trySExtValue().value_or(42));
3555 }
3556 
3557 } // end anonymous namespace
3558