xref: /llvm-project/llvm/unittests/ADT/APIntTest.cpp (revision 9028f0556d24266cc76996319735531ddf2b71b1)
1 //===- llvm/unittest/ADT/APInt.cpp - APInt unit tests ---------------------===//
2 //
3 //                     The LLVM Compiler Infrastructure
4 //
5 // This file is distributed under the University of Illinois Open Source
6 // License. See LICENSE.TXT for details.
7 //
8 //===----------------------------------------------------------------------===//
9 
10 #include "llvm/ADT/APInt.h"
11 #include "llvm/ADT/ArrayRef.h"
12 #include "llvm/ADT/SmallString.h"
13 #include "gtest/gtest.h"
14 #include <array>
15 
16 using namespace llvm;
17 
18 namespace {
19 
20 TEST(APIntTest, ValueInit) {
21   APInt Zero = APInt();
22   EXPECT_TRUE(!Zero);
23   EXPECT_TRUE(!Zero.zext(64));
24   EXPECT_TRUE(!Zero.sext(64));
25 }
26 
27 // Test that APInt shift left works when bitwidth > 64 and shiftamt == 0
28 TEST(APIntTest, ShiftLeftByZero) {
29   APInt One = APInt::getNullValue(65) + 1;
30   APInt Shl = One.shl(0);
31   EXPECT_TRUE(Shl[0]);
32   EXPECT_FALSE(Shl[1]);
33 }
34 
35 TEST(APIntTest, i64_ArithmeticRightShiftNegative) {
36   const APInt neg_one(64, static_cast<uint64_t>(-1), true);
37   EXPECT_EQ(neg_one, neg_one.ashr(7));
38 }
39 
40 TEST(APIntTest, i128_NegativeCount) {
41   APInt Minus3(128, static_cast<uint64_t>(-3), true);
42   EXPECT_EQ(126u, Minus3.countLeadingOnes());
43   EXPECT_EQ(-3, Minus3.getSExtValue());
44 
45   APInt Minus1(128, static_cast<uint64_t>(-1), true);
46   EXPECT_EQ(0u, Minus1.countLeadingZeros());
47   EXPECT_EQ(128u, Minus1.countLeadingOnes());
48   EXPECT_EQ(128u, Minus1.getActiveBits());
49   EXPECT_EQ(0u, Minus1.countTrailingZeros());
50   EXPECT_EQ(128u, Minus1.countTrailingOnes());
51   EXPECT_EQ(128u, Minus1.countPopulation());
52   EXPECT_EQ(-1, Minus1.getSExtValue());
53 }
54 
55 TEST(APIntTest, i33_Count) {
56   APInt i33minus2(33, static_cast<uint64_t>(-2), true);
57   EXPECT_EQ(0u, i33minus2.countLeadingZeros());
58   EXPECT_EQ(32u, i33minus2.countLeadingOnes());
59   EXPECT_EQ(33u, i33minus2.getActiveBits());
60   EXPECT_EQ(1u, i33minus2.countTrailingZeros());
61   EXPECT_EQ(32u, i33minus2.countPopulation());
62   EXPECT_EQ(-2, i33minus2.getSExtValue());
63   EXPECT_EQ(((uint64_t)-2)&((1ull<<33) -1), i33minus2.getZExtValue());
64 }
65 
66 TEST(APIntTest, i65_Count) {
67   APInt i65(65, 0, true);
68   EXPECT_EQ(65u, i65.countLeadingZeros());
69   EXPECT_EQ(0u, i65.countLeadingOnes());
70   EXPECT_EQ(0u, i65.getActiveBits());
71   EXPECT_EQ(1u, i65.getActiveWords());
72   EXPECT_EQ(65u, i65.countTrailingZeros());
73   EXPECT_EQ(0u, i65.countPopulation());
74 
75   APInt i65minus(65, 0, true);
76   i65minus.setBit(64);
77   EXPECT_EQ(0u, i65minus.countLeadingZeros());
78   EXPECT_EQ(1u, i65minus.countLeadingOnes());
79   EXPECT_EQ(65u, i65minus.getActiveBits());
80   EXPECT_EQ(64u, i65minus.countTrailingZeros());
81   EXPECT_EQ(1u, i65minus.countPopulation());
82 }
83 
84 TEST(APIntTest, i128_PositiveCount) {
85   APInt u128max = APInt::getAllOnesValue(128);
86   EXPECT_EQ(128u, u128max.countLeadingOnes());
87   EXPECT_EQ(0u, u128max.countLeadingZeros());
88   EXPECT_EQ(128u, u128max.getActiveBits());
89   EXPECT_EQ(0u, u128max.countTrailingZeros());
90   EXPECT_EQ(128u, u128max.countTrailingOnes());
91   EXPECT_EQ(128u, u128max.countPopulation());
92 
93   APInt u64max(128, static_cast<uint64_t>(-1), false);
94   EXPECT_EQ(64u, u64max.countLeadingZeros());
95   EXPECT_EQ(0u, u64max.countLeadingOnes());
96   EXPECT_EQ(64u, u64max.getActiveBits());
97   EXPECT_EQ(0u, u64max.countTrailingZeros());
98   EXPECT_EQ(64u, u64max.countTrailingOnes());
99   EXPECT_EQ(64u, u64max.countPopulation());
100   EXPECT_EQ((uint64_t)~0ull, u64max.getZExtValue());
101 
102   APInt zero(128, 0, true);
103   EXPECT_EQ(128u, zero.countLeadingZeros());
104   EXPECT_EQ(0u, zero.countLeadingOnes());
105   EXPECT_EQ(0u, zero.getActiveBits());
106   EXPECT_EQ(128u, zero.countTrailingZeros());
107   EXPECT_EQ(0u, zero.countTrailingOnes());
108   EXPECT_EQ(0u, zero.countPopulation());
109   EXPECT_EQ(0u, zero.getSExtValue());
110   EXPECT_EQ(0u, zero.getZExtValue());
111 
112   APInt one(128, 1, true);
113   EXPECT_EQ(127u, one.countLeadingZeros());
114   EXPECT_EQ(0u, one.countLeadingOnes());
115   EXPECT_EQ(1u, one.getActiveBits());
116   EXPECT_EQ(0u, one.countTrailingZeros());
117   EXPECT_EQ(1u, one.countTrailingOnes());
118   EXPECT_EQ(1u, one.countPopulation());
119   EXPECT_EQ(1, one.getSExtValue());
120   EXPECT_EQ(1u, one.getZExtValue());
121 }
122 
123 TEST(APIntTest, i1) {
124   const APInt neg_two(1, static_cast<uint64_t>(-2), true);
125   const APInt neg_one(1, static_cast<uint64_t>(-1), true);
126   const APInt zero(1, 0);
127   const APInt one(1, 1);
128   const APInt two(1, 2);
129 
130   EXPECT_EQ(0, neg_two.getSExtValue());
131   EXPECT_EQ(-1, neg_one.getSExtValue());
132   EXPECT_EQ(1u, neg_one.getZExtValue());
133   EXPECT_EQ(0u, zero.getZExtValue());
134   EXPECT_EQ(-1, one.getSExtValue());
135   EXPECT_EQ(1u, one.getZExtValue());
136   EXPECT_EQ(0u, two.getZExtValue());
137   EXPECT_EQ(0, two.getSExtValue());
138 
139   // Basic equalities for 1-bit values.
140   EXPECT_EQ(zero, two);
141   EXPECT_EQ(zero, neg_two);
142   EXPECT_EQ(one, neg_one);
143   EXPECT_EQ(two, neg_two);
144 
145   // Min/max signed values.
146   EXPECT_TRUE(zero.isMaxSignedValue());
147   EXPECT_FALSE(one.isMaxSignedValue());
148   EXPECT_FALSE(zero.isMinSignedValue());
149   EXPECT_TRUE(one.isMinSignedValue());
150 
151   // Additions.
152   EXPECT_EQ(two, one + one);
153   EXPECT_EQ(zero, neg_one + one);
154   EXPECT_EQ(neg_two, neg_one + neg_one);
155 
156   // Subtractions.
157   EXPECT_EQ(neg_two, neg_one - one);
158   EXPECT_EQ(two, one - neg_one);
159   EXPECT_EQ(zero, one - one);
160 
161   // And
162   EXPECT_EQ(zero, zero & zero);
163   EXPECT_EQ(zero, one & zero);
164   EXPECT_EQ(zero, zero & one);
165   EXPECT_EQ(one, one & one);
166   EXPECT_EQ(zero, zero & zero);
167   EXPECT_EQ(zero, neg_one & zero);
168   EXPECT_EQ(zero, zero & neg_one);
169   EXPECT_EQ(neg_one, neg_one & neg_one);
170 
171   // Or
172   EXPECT_EQ(zero, zero | zero);
173   EXPECT_EQ(one, one | zero);
174   EXPECT_EQ(one, zero | one);
175   EXPECT_EQ(one, one | one);
176   EXPECT_EQ(zero, zero | zero);
177   EXPECT_EQ(neg_one, neg_one | zero);
178   EXPECT_EQ(neg_one, zero | neg_one);
179   EXPECT_EQ(neg_one, neg_one | neg_one);
180 
181   // Xor
182   EXPECT_EQ(zero, zero ^ zero);
183   EXPECT_EQ(one, one ^ zero);
184   EXPECT_EQ(one, zero ^ one);
185   EXPECT_EQ(zero, one ^ one);
186   EXPECT_EQ(zero, zero ^ zero);
187   EXPECT_EQ(neg_one, neg_one ^ zero);
188   EXPECT_EQ(neg_one, zero ^ neg_one);
189   EXPECT_EQ(zero, neg_one ^ neg_one);
190 
191   // Shifts.
192   EXPECT_EQ(zero, one << one);
193   EXPECT_EQ(one, one << zero);
194   EXPECT_EQ(zero, one.shl(1));
195   EXPECT_EQ(one, one.shl(0));
196   EXPECT_EQ(zero, one.lshr(1));
197   EXPECT_EQ(zero, one.ashr(1));
198 
199   // Rotates.
200   EXPECT_EQ(one, one.rotl(0));
201   EXPECT_EQ(one, one.rotl(1));
202   EXPECT_EQ(one, one.rotr(0));
203   EXPECT_EQ(one, one.rotr(1));
204 
205   // Multiplies.
206   EXPECT_EQ(neg_one, neg_one * one);
207   EXPECT_EQ(neg_one, one * neg_one);
208   EXPECT_EQ(one, neg_one * neg_one);
209   EXPECT_EQ(one, one * one);
210 
211   // Divides.
212   EXPECT_EQ(neg_one, one.sdiv(neg_one));
213   EXPECT_EQ(neg_one, neg_one.sdiv(one));
214   EXPECT_EQ(one, neg_one.sdiv(neg_one));
215   EXPECT_EQ(one, one.sdiv(one));
216 
217   EXPECT_EQ(neg_one, one.udiv(neg_one));
218   EXPECT_EQ(neg_one, neg_one.udiv(one));
219   EXPECT_EQ(one, neg_one.udiv(neg_one));
220   EXPECT_EQ(one, one.udiv(one));
221 
222   // Remainders.
223   EXPECT_EQ(zero, neg_one.srem(one));
224   EXPECT_EQ(zero, neg_one.urem(one));
225   EXPECT_EQ(zero, one.srem(neg_one));
226 
227   // sdivrem
228   {
229   APInt q(8, 0);
230   APInt r(8, 0);
231   APInt one(8, 1);
232   APInt two(8, 2);
233   APInt nine(8, 9);
234   APInt four(8, 4);
235 
236   EXPECT_EQ(nine.srem(two), one);
237   EXPECT_EQ(nine.srem(-two), one);
238   EXPECT_EQ((-nine).srem(two), -one);
239   EXPECT_EQ((-nine).srem(-two), -one);
240 
241   APInt::sdivrem(nine, two, q, r);
242   EXPECT_EQ(four, q);
243   EXPECT_EQ(one, r);
244   APInt::sdivrem(-nine, two, q, r);
245   EXPECT_EQ(-four, q);
246   EXPECT_EQ(-one, r);
247   APInt::sdivrem(nine, -two, q, r);
248   EXPECT_EQ(-four, q);
249   EXPECT_EQ(one, r);
250   APInt::sdivrem(-nine, -two, q, r);
251   EXPECT_EQ(four, q);
252   EXPECT_EQ(-one, r);
253   }
254 }
255 
256 TEST(APIntTest, compare) {
257   std::array<APInt, 5> testVals{{
258     APInt{16, 2},
259     APInt{16, 1},
260     APInt{16, 0},
261     APInt{16, (uint64_t)-1, true},
262     APInt{16, (uint64_t)-2, true},
263   }};
264 
265   for (auto &arg1 : testVals)
266     for (auto &arg2 : testVals) {
267       auto uv1 = arg1.getZExtValue();
268       auto uv2 = arg2.getZExtValue();
269       auto sv1 = arg1.getSExtValue();
270       auto sv2 = arg2.getSExtValue();
271 
272       EXPECT_EQ(uv1 <  uv2, arg1.ult(arg2));
273       EXPECT_EQ(uv1 <= uv2, arg1.ule(arg2));
274       EXPECT_EQ(uv1 >  uv2, arg1.ugt(arg2));
275       EXPECT_EQ(uv1 >= uv2, arg1.uge(arg2));
276 
277       EXPECT_EQ(sv1 <  sv2, arg1.slt(arg2));
278       EXPECT_EQ(sv1 <= sv2, arg1.sle(arg2));
279       EXPECT_EQ(sv1 >  sv2, arg1.sgt(arg2));
280       EXPECT_EQ(sv1 >= sv2, arg1.sge(arg2));
281 
282       EXPECT_EQ(uv1 <  uv2, arg1.ult(uv2));
283       EXPECT_EQ(uv1 <= uv2, arg1.ule(uv2));
284       EXPECT_EQ(uv1 >  uv2, arg1.ugt(uv2));
285       EXPECT_EQ(uv1 >= uv2, arg1.uge(uv2));
286 
287       EXPECT_EQ(sv1 <  sv2, arg1.slt(sv2));
288       EXPECT_EQ(sv1 <= sv2, arg1.sle(sv2));
289       EXPECT_EQ(sv1 >  sv2, arg1.sgt(sv2));
290       EXPECT_EQ(sv1 >= sv2, arg1.sge(sv2));
291     }
292 }
293 
294 TEST(APIntTest, compareWithRawIntegers) {
295   EXPECT_TRUE(!APInt(8, 1).uge(256));
296   EXPECT_TRUE(!APInt(8, 1).ugt(256));
297   EXPECT_TRUE( APInt(8, 1).ule(256));
298   EXPECT_TRUE( APInt(8, 1).ult(256));
299   EXPECT_TRUE(!APInt(8, 1).sge(256));
300   EXPECT_TRUE(!APInt(8, 1).sgt(256));
301   EXPECT_TRUE( APInt(8, 1).sle(256));
302   EXPECT_TRUE( APInt(8, 1).slt(256));
303   EXPECT_TRUE(!(APInt(8, 0) == 256));
304   EXPECT_TRUE(  APInt(8, 0) != 256);
305   EXPECT_TRUE(!(APInt(8, 1) == 256));
306   EXPECT_TRUE(  APInt(8, 1) != 256);
307 
308   auto uint64max = UINT64_MAX;
309   auto int64max  = INT64_MAX;
310   auto int64min  = INT64_MIN;
311 
312   auto u64 = APInt{128, uint64max};
313   auto s64 = APInt{128, static_cast<uint64_t>(int64max), true};
314   auto big = u64 + 1;
315 
316   EXPECT_TRUE( u64.uge(uint64max));
317   EXPECT_TRUE(!u64.ugt(uint64max));
318   EXPECT_TRUE( u64.ule(uint64max));
319   EXPECT_TRUE(!u64.ult(uint64max));
320   EXPECT_TRUE( u64.sge(int64max));
321   EXPECT_TRUE( u64.sgt(int64max));
322   EXPECT_TRUE(!u64.sle(int64max));
323   EXPECT_TRUE(!u64.slt(int64max));
324   EXPECT_TRUE( u64.sge(int64min));
325   EXPECT_TRUE( u64.sgt(int64min));
326   EXPECT_TRUE(!u64.sle(int64min));
327   EXPECT_TRUE(!u64.slt(int64min));
328 
329   EXPECT_TRUE(u64 == uint64max);
330   EXPECT_TRUE(u64 != int64max);
331   EXPECT_TRUE(u64 != int64min);
332 
333   EXPECT_TRUE(!s64.uge(uint64max));
334   EXPECT_TRUE(!s64.ugt(uint64max));
335   EXPECT_TRUE( s64.ule(uint64max));
336   EXPECT_TRUE( s64.ult(uint64max));
337   EXPECT_TRUE( s64.sge(int64max));
338   EXPECT_TRUE(!s64.sgt(int64max));
339   EXPECT_TRUE( s64.sle(int64max));
340   EXPECT_TRUE(!s64.slt(int64max));
341   EXPECT_TRUE( s64.sge(int64min));
342   EXPECT_TRUE( s64.sgt(int64min));
343   EXPECT_TRUE(!s64.sle(int64min));
344   EXPECT_TRUE(!s64.slt(int64min));
345 
346   EXPECT_TRUE(s64 != uint64max);
347   EXPECT_TRUE(s64 == int64max);
348   EXPECT_TRUE(s64 != int64min);
349 
350   EXPECT_TRUE( big.uge(uint64max));
351   EXPECT_TRUE( big.ugt(uint64max));
352   EXPECT_TRUE(!big.ule(uint64max));
353   EXPECT_TRUE(!big.ult(uint64max));
354   EXPECT_TRUE( big.sge(int64max));
355   EXPECT_TRUE( big.sgt(int64max));
356   EXPECT_TRUE(!big.sle(int64max));
357   EXPECT_TRUE(!big.slt(int64max));
358   EXPECT_TRUE( big.sge(int64min));
359   EXPECT_TRUE( big.sgt(int64min));
360   EXPECT_TRUE(!big.sle(int64min));
361   EXPECT_TRUE(!big.slt(int64min));
362 
363   EXPECT_TRUE(big != uint64max);
364   EXPECT_TRUE(big != int64max);
365   EXPECT_TRUE(big != int64min);
366 }
367 
368 TEST(APIntTest, compareWithInt64Min) {
369   int64_t edge = INT64_MIN;
370   int64_t edgeP1 = edge + 1;
371   int64_t edgeM1 = INT64_MAX;
372   auto a = APInt{64, static_cast<uint64_t>(edge), true};
373 
374   EXPECT_TRUE(!a.slt(edge));
375   EXPECT_TRUE( a.sle(edge));
376   EXPECT_TRUE(!a.sgt(edge));
377   EXPECT_TRUE( a.sge(edge));
378   EXPECT_TRUE( a.slt(edgeP1));
379   EXPECT_TRUE( a.sle(edgeP1));
380   EXPECT_TRUE(!a.sgt(edgeP1));
381   EXPECT_TRUE(!a.sge(edgeP1));
382   EXPECT_TRUE( a.slt(edgeM1));
383   EXPECT_TRUE( a.sle(edgeM1));
384   EXPECT_TRUE(!a.sgt(edgeM1));
385   EXPECT_TRUE(!a.sge(edgeM1));
386 }
387 
388 TEST(APIntTest, compareWithHalfInt64Max) {
389   uint64_t edge = 0x4000000000000000;
390   uint64_t edgeP1 = edge + 1;
391   uint64_t edgeM1 = edge - 1;
392   auto a = APInt{64, edge};
393 
394   EXPECT_TRUE(!a.ult(edge));
395   EXPECT_TRUE( a.ule(edge));
396   EXPECT_TRUE(!a.ugt(edge));
397   EXPECT_TRUE( a.uge(edge));
398   EXPECT_TRUE( a.ult(edgeP1));
399   EXPECT_TRUE( a.ule(edgeP1));
400   EXPECT_TRUE(!a.ugt(edgeP1));
401   EXPECT_TRUE(!a.uge(edgeP1));
402   EXPECT_TRUE(!a.ult(edgeM1));
403   EXPECT_TRUE(!a.ule(edgeM1));
404   EXPECT_TRUE( a.ugt(edgeM1));
405   EXPECT_TRUE( a.uge(edgeM1));
406 
407   EXPECT_TRUE(!a.slt(edge));
408   EXPECT_TRUE( a.sle(edge));
409   EXPECT_TRUE(!a.sgt(edge));
410   EXPECT_TRUE( a.sge(edge));
411   EXPECT_TRUE( a.slt(edgeP1));
412   EXPECT_TRUE( a.sle(edgeP1));
413   EXPECT_TRUE(!a.sgt(edgeP1));
414   EXPECT_TRUE(!a.sge(edgeP1));
415   EXPECT_TRUE(!a.slt(edgeM1));
416   EXPECT_TRUE(!a.sle(edgeM1));
417   EXPECT_TRUE( a.sgt(edgeM1));
418   EXPECT_TRUE( a.sge(edgeM1));
419 }
420 
421 TEST(APIntTest, compareLargeIntegers) {
422   // Make sure all the combinations of signed comparisons work with big ints.
423   auto One = APInt{128, static_cast<uint64_t>(1), true};
424   auto Two = APInt{128, static_cast<uint64_t>(2), true};
425   auto MinusOne = APInt{128, static_cast<uint64_t>(-1), true};
426   auto MinusTwo = APInt{128, static_cast<uint64_t>(-2), true};
427 
428   EXPECT_TRUE(!One.slt(One));
429   EXPECT_TRUE(!Two.slt(One));
430   EXPECT_TRUE(MinusOne.slt(One));
431   EXPECT_TRUE(MinusTwo.slt(One));
432 
433   EXPECT_TRUE(One.slt(Two));
434   EXPECT_TRUE(!Two.slt(Two));
435   EXPECT_TRUE(MinusOne.slt(Two));
436   EXPECT_TRUE(MinusTwo.slt(Two));
437 
438   EXPECT_TRUE(!One.slt(MinusOne));
439   EXPECT_TRUE(!Two.slt(MinusOne));
440   EXPECT_TRUE(!MinusOne.slt(MinusOne));
441   EXPECT_TRUE(MinusTwo.slt(MinusOne));
442 
443   EXPECT_TRUE(!One.slt(MinusTwo));
444   EXPECT_TRUE(!Two.slt(MinusTwo));
445   EXPECT_TRUE(!MinusOne.slt(MinusTwo));
446   EXPECT_TRUE(!MinusTwo.slt(MinusTwo));
447 }
448 
449 TEST(APIntTest, rvalue_arithmetic) {
450   // Test all combinations of lvalue/rvalue lhs/rhs of add/sub
451 
452   // Lamdba to return an APInt by value, but also provide the raw value of the
453   // allocated data.
454   auto getRValue = [](const char *HexString, uint64_t const *&RawData) {
455     APInt V(129, HexString, 16);
456     RawData = V.getRawData();
457     return V;
458   };
459 
460   APInt One(129, "1", 16);
461   APInt Two(129, "2", 16);
462   APInt Three(129, "3", 16);
463   APInt MinusOne = -One;
464 
465   const uint64_t *RawDataL = nullptr;
466   const uint64_t *RawDataR = nullptr;
467 
468   {
469     // 1 + 1 = 2
470     APInt AddLL = One + One;
471     EXPECT_EQ(AddLL, Two);
472 
473     APInt AddLR = One + getRValue("1", RawDataR);
474     EXPECT_EQ(AddLR, Two);
475     EXPECT_EQ(AddLR.getRawData(), RawDataR);
476 
477     APInt AddRL = getRValue("1", RawDataL) + One;
478     EXPECT_EQ(AddRL, Two);
479     EXPECT_EQ(AddRL.getRawData(), RawDataL);
480 
481     APInt AddRR = getRValue("1", RawDataL) + getRValue("1", RawDataR);
482     EXPECT_EQ(AddRR, Two);
483     EXPECT_EQ(AddRR.getRawData(), RawDataR);
484 
485     // LValue's and constants
486     APInt AddLK = One + 1;
487     EXPECT_EQ(AddLK, Two);
488 
489     APInt AddKL = 1 + One;
490     EXPECT_EQ(AddKL, Two);
491 
492     // RValue's and constants
493     APInt AddRK = getRValue("1", RawDataL) + 1;
494     EXPECT_EQ(AddRK, Two);
495     EXPECT_EQ(AddRK.getRawData(), RawDataL);
496 
497     APInt AddKR = 1 + getRValue("1", RawDataR);
498     EXPECT_EQ(AddKR, Two);
499     EXPECT_EQ(AddKR.getRawData(), RawDataR);
500   }
501 
502   {
503     // 0x0,FFFF...FFFF + 0x2 = 0x100...0001
504     APInt AllOnes(129, "0FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF", 16);
505     APInt HighOneLowOne(129, "100000000000000000000000000000001", 16);
506 
507     APInt AddLL = AllOnes + Two;
508     EXPECT_EQ(AddLL, HighOneLowOne);
509 
510     APInt AddLR = AllOnes + getRValue("2", RawDataR);
511     EXPECT_EQ(AddLR, HighOneLowOne);
512     EXPECT_EQ(AddLR.getRawData(), RawDataR);
513 
514     APInt AddRL = getRValue("FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF", RawDataL) + Two;
515     EXPECT_EQ(AddRL, HighOneLowOne);
516     EXPECT_EQ(AddRL.getRawData(), RawDataL);
517 
518     APInt AddRR = getRValue("FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF", RawDataL) +
519                   getRValue("2", RawDataR);
520     EXPECT_EQ(AddRR, HighOneLowOne);
521     EXPECT_EQ(AddRR.getRawData(), RawDataR);
522 
523     // LValue's and constants
524     APInt AddLK = AllOnes + 2;
525     EXPECT_EQ(AddLK, HighOneLowOne);
526 
527     APInt AddKL = 2 + AllOnes;
528     EXPECT_EQ(AddKL, HighOneLowOne);
529 
530     // RValue's and constants
531     APInt AddRK = getRValue("FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF", RawDataL) + 2;
532     EXPECT_EQ(AddRK, HighOneLowOne);
533     EXPECT_EQ(AddRK.getRawData(), RawDataL);
534 
535     APInt AddKR = 2 + getRValue("FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF", RawDataR);
536     EXPECT_EQ(AddKR, HighOneLowOne);
537     EXPECT_EQ(AddKR.getRawData(), RawDataR);
538   }
539 
540   {
541     // 2 - 1 = 1
542     APInt SubLL = Two - One;
543     EXPECT_EQ(SubLL, One);
544 
545     APInt SubLR = Two - getRValue("1", RawDataR);
546     EXPECT_EQ(SubLR, One);
547     EXPECT_EQ(SubLR.getRawData(), RawDataR);
548 
549     APInt SubRL = getRValue("2", RawDataL) - One;
550     EXPECT_EQ(SubRL, One);
551     EXPECT_EQ(SubRL.getRawData(), RawDataL);
552 
553     APInt SubRR = getRValue("2", RawDataL) - getRValue("1", RawDataR);
554     EXPECT_EQ(SubRR, One);
555     EXPECT_EQ(SubRR.getRawData(), RawDataR);
556 
557     // LValue's and constants
558     APInt SubLK = Two - 1;
559     EXPECT_EQ(SubLK, One);
560 
561     APInt SubKL = 2 - One;
562     EXPECT_EQ(SubKL, One);
563 
564     // RValue's and constants
565     APInt SubRK = getRValue("2", RawDataL) - 1;
566     EXPECT_EQ(SubRK, One);
567     EXPECT_EQ(SubRK.getRawData(), RawDataL);
568 
569     APInt SubKR = 2 - getRValue("1", RawDataR);
570     EXPECT_EQ(SubKR, One);
571     EXPECT_EQ(SubKR.getRawData(), RawDataR);
572   }
573 
574   {
575     // 0x100...0001 - 0x0,FFFF...FFFF = 0x2
576     APInt AllOnes(129, "0FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF", 16);
577     APInt HighOneLowOne(129, "100000000000000000000000000000001", 16);
578 
579     APInt SubLL = HighOneLowOne - AllOnes;
580     EXPECT_EQ(SubLL, Two);
581 
582     APInt SubLR = HighOneLowOne -
583                   getRValue("0FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF", RawDataR);
584     EXPECT_EQ(SubLR, Two);
585     EXPECT_EQ(SubLR.getRawData(), RawDataR);
586 
587     APInt SubRL = getRValue("100000000000000000000000000000001", RawDataL) -
588                   AllOnes;
589     EXPECT_EQ(SubRL, Two);
590     EXPECT_EQ(SubRL.getRawData(), RawDataL);
591 
592     APInt SubRR = getRValue("100000000000000000000000000000001", RawDataL) -
593                   getRValue("0FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF", RawDataR);
594     EXPECT_EQ(SubRR, Two);
595     EXPECT_EQ(SubRR.getRawData(), RawDataR);
596 
597     // LValue's and constants
598     // 0x100...0001 - 0x2 = 0x0,FFFF...FFFF
599     APInt SubLK = HighOneLowOne - 2;
600     EXPECT_EQ(SubLK, AllOnes);
601 
602     // 2 - (-1) = 3
603     APInt SubKL = 2 - MinusOne;
604     EXPECT_EQ(SubKL, Three);
605 
606     // RValue's and constants
607     // 0x100...0001 - 0x2 = 0x0,FFFF...FFFF
608     APInt SubRK = getRValue("100000000000000000000000000000001", RawDataL) - 2;
609     EXPECT_EQ(SubRK, AllOnes);
610     EXPECT_EQ(SubRK.getRawData(), RawDataL);
611 
612     APInt SubKR = 2 - getRValue("1FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF", RawDataR);
613     EXPECT_EQ(SubKR, Three);
614     EXPECT_EQ(SubKR.getRawData(), RawDataR);
615   }
616 }
617 
618 
619 // Tests different div/rem varaints using scheme (a * b + c) / a
620 void testDiv(APInt a, APInt b, APInt c) {
621   ASSERT_TRUE(a.uge(b)); // Must: a >= b
622   ASSERT_TRUE(a.ugt(c)); // Must: a > c
623 
624   auto p = a * b + c;
625 
626   auto q = p.udiv(a);
627   auto r = p.urem(a);
628   EXPECT_EQ(b, q);
629   EXPECT_EQ(c, r);
630   APInt::udivrem(p, a, q, r);
631   EXPECT_EQ(b, q);
632   EXPECT_EQ(c, r);
633   q = p.sdiv(a);
634   r = p.srem(a);
635   EXPECT_EQ(b, q);
636   EXPECT_EQ(c, r);
637   APInt::sdivrem(p, a, q, r);
638   EXPECT_EQ(b, q);
639   EXPECT_EQ(c, r);
640 
641   if (b.ugt(c)) { // Test also symmetric case
642     q = p.udiv(b);
643     r = p.urem(b);
644     EXPECT_EQ(a, q);
645     EXPECT_EQ(c, r);
646     APInt::udivrem(p, b, q, r);
647     EXPECT_EQ(a, q);
648     EXPECT_EQ(c, r);
649     q = p.sdiv(b);
650     r = p.srem(b);
651     EXPECT_EQ(a, q);
652     EXPECT_EQ(c, r);
653     APInt::sdivrem(p, b, q, r);
654     EXPECT_EQ(a, q);
655     EXPECT_EQ(c, r);
656   }
657 }
658 
659 TEST(APIntTest, divrem_big1) {
660   // Tests KnuthDiv rare step D6
661   testDiv({256, "1ffffffffffffffff", 16},
662           {256, "1ffffffffffffffff", 16},
663           {256, 0});
664 }
665 
666 TEST(APIntTest, divrem_big2) {
667   // Tests KnuthDiv rare step D6
668   testDiv({1024,                       "112233ceff"
669                  "cecece000000ffffffffffffffffffff"
670                  "ffffffffffffffffffffffffffffffff"
671                  "ffffffffffffffffffffffffffffffff"
672                  "ffffffffffffffffffffffffffffff33", 16},
673           {1024,           "111111ffffffffffffffff"
674                  "ffffffffffffffffffffffffffffffff"
675                  "fffffffffffffffffffffffffffffccf"
676                  "ffffffffffffffffffffffffffffff00", 16},
677           {1024, 7919});
678 }
679 
680 TEST(APIntTest, divrem_big3) {
681   // Tests KnuthDiv case without shift
682   testDiv({256, "80000001ffffffffffffffff", 16},
683           {256, "ffffffffffffff0000000", 16},
684           {256, 4219});
685 }
686 
687 TEST(APIntTest, divrem_big4) {
688   // Tests heap allocation in divide() enfoced by huge numbers
689   testDiv(APInt{4096, 5}.shl(2001),
690           APInt{4096, 1}.shl(2000),
691           APInt{4096, 4219*13});
692 }
693 
694 TEST(APIntTest, divrem_big5) {
695   // Tests one word divisor case of divide()
696   testDiv(APInt{1024, 19}.shl(811),
697           APInt{1024, 4356013}, // one word
698           APInt{1024, 1});
699 }
700 
701 TEST(APIntTest, divrem_big6) {
702   // Tests some rare "borrow" cases in D4 step
703   testDiv(APInt{512, "ffffffffffffffff00000000000000000000000001", 16},
704           APInt{512, "10000000000000001000000000000001", 16},
705           APInt{512, "10000000000000000000000000000000", 16});
706 }
707 
708 TEST(APIntTest, divrem_big7) {
709   // Yet another test for KnuthDiv rare step D6.
710   testDiv({224, "800000008000000200000005", 16},
711           {224, "fffffffd", 16},
712           {224, "80000000800000010000000f", 16});
713 }
714 
715 TEST(APIntTest, fromString) {
716   EXPECT_EQ(APInt(32, 0), APInt(32,   "0", 2));
717   EXPECT_EQ(APInt(32, 1), APInt(32,   "1", 2));
718   EXPECT_EQ(APInt(32, 2), APInt(32,  "10", 2));
719   EXPECT_EQ(APInt(32, 3), APInt(32,  "11", 2));
720   EXPECT_EQ(APInt(32, 4), APInt(32, "100", 2));
721 
722   EXPECT_EQ(APInt(32, 0), APInt(32,   "+0", 2));
723   EXPECT_EQ(APInt(32, 1), APInt(32,   "+1", 2));
724   EXPECT_EQ(APInt(32, 2), APInt(32,  "+10", 2));
725   EXPECT_EQ(APInt(32, 3), APInt(32,  "+11", 2));
726   EXPECT_EQ(APInt(32, 4), APInt(32, "+100", 2));
727 
728   EXPECT_EQ(APInt(32, uint64_t(-0LL)), APInt(32,   "-0", 2));
729   EXPECT_EQ(APInt(32, uint64_t(-1LL)), APInt(32,   "-1", 2));
730   EXPECT_EQ(APInt(32, uint64_t(-2LL)), APInt(32,  "-10", 2));
731   EXPECT_EQ(APInt(32, uint64_t(-3LL)), APInt(32,  "-11", 2));
732   EXPECT_EQ(APInt(32, uint64_t(-4LL)), APInt(32, "-100", 2));
733 
734 
735   EXPECT_EQ(APInt(32,  0), APInt(32,  "0",  8));
736   EXPECT_EQ(APInt(32,  1), APInt(32,  "1",  8));
737   EXPECT_EQ(APInt(32,  7), APInt(32,  "7",  8));
738   EXPECT_EQ(APInt(32,  8), APInt(32,  "10", 8));
739   EXPECT_EQ(APInt(32, 15), APInt(32,  "17", 8));
740   EXPECT_EQ(APInt(32, 16), APInt(32,  "20", 8));
741 
742   EXPECT_EQ(APInt(32,  +0), APInt(32,  "+0",  8));
743   EXPECT_EQ(APInt(32,  +1), APInt(32,  "+1",  8));
744   EXPECT_EQ(APInt(32,  +7), APInt(32,  "+7",  8));
745   EXPECT_EQ(APInt(32,  +8), APInt(32,  "+10", 8));
746   EXPECT_EQ(APInt(32, +15), APInt(32,  "+17", 8));
747   EXPECT_EQ(APInt(32, +16), APInt(32,  "+20", 8));
748 
749   EXPECT_EQ(APInt(32,  uint64_t(-0LL)), APInt(32,  "-0",  8));
750   EXPECT_EQ(APInt(32,  uint64_t(-1LL)), APInt(32,  "-1",  8));
751   EXPECT_EQ(APInt(32,  uint64_t(-7LL)), APInt(32,  "-7",  8));
752   EXPECT_EQ(APInt(32,  uint64_t(-8LL)), APInt(32,  "-10", 8));
753   EXPECT_EQ(APInt(32, uint64_t(-15LL)), APInt(32,  "-17", 8));
754   EXPECT_EQ(APInt(32, uint64_t(-16LL)), APInt(32,  "-20", 8));
755 
756 
757   EXPECT_EQ(APInt(32,  0), APInt(32,  "0", 10));
758   EXPECT_EQ(APInt(32,  1), APInt(32,  "1", 10));
759   EXPECT_EQ(APInt(32,  9), APInt(32,  "9", 10));
760   EXPECT_EQ(APInt(32, 10), APInt(32, "10", 10));
761   EXPECT_EQ(APInt(32, 19), APInt(32, "19", 10));
762   EXPECT_EQ(APInt(32, 20), APInt(32, "20", 10));
763 
764   EXPECT_EQ(APInt(32,  uint64_t(-0LL)), APInt(32,  "-0", 10));
765   EXPECT_EQ(APInt(32,  uint64_t(-1LL)), APInt(32,  "-1", 10));
766   EXPECT_EQ(APInt(32,  uint64_t(-9LL)), APInt(32,  "-9", 10));
767   EXPECT_EQ(APInt(32, uint64_t(-10LL)), APInt(32, "-10", 10));
768   EXPECT_EQ(APInt(32, uint64_t(-19LL)), APInt(32, "-19", 10));
769   EXPECT_EQ(APInt(32, uint64_t(-20LL)), APInt(32, "-20", 10));
770 
771 
772   EXPECT_EQ(APInt(32,  0), APInt(32,  "0", 16));
773   EXPECT_EQ(APInt(32,  1), APInt(32,  "1", 16));
774   EXPECT_EQ(APInt(32, 15), APInt(32,  "F", 16));
775   EXPECT_EQ(APInt(32, 16), APInt(32, "10", 16));
776   EXPECT_EQ(APInt(32, 31), APInt(32, "1F", 16));
777   EXPECT_EQ(APInt(32, 32), APInt(32, "20", 16));
778 
779   EXPECT_EQ(APInt(32,  uint64_t(-0LL)), APInt(32,  "-0", 16));
780   EXPECT_EQ(APInt(32,  uint64_t(-1LL)), APInt(32,  "-1", 16));
781   EXPECT_EQ(APInt(32, uint64_t(-15LL)), APInt(32,  "-F", 16));
782   EXPECT_EQ(APInt(32, uint64_t(-16LL)), APInt(32, "-10", 16));
783   EXPECT_EQ(APInt(32, uint64_t(-31LL)), APInt(32, "-1F", 16));
784   EXPECT_EQ(APInt(32, uint64_t(-32LL)), APInt(32, "-20", 16));
785 
786   EXPECT_EQ(APInt(32,  0), APInt(32,  "0", 36));
787   EXPECT_EQ(APInt(32,  1), APInt(32,  "1", 36));
788   EXPECT_EQ(APInt(32, 35), APInt(32,  "Z", 36));
789   EXPECT_EQ(APInt(32, 36), APInt(32, "10", 36));
790   EXPECT_EQ(APInt(32, 71), APInt(32, "1Z", 36));
791   EXPECT_EQ(APInt(32, 72), APInt(32, "20", 36));
792 
793   EXPECT_EQ(APInt(32,  uint64_t(-0LL)), APInt(32,  "-0", 36));
794   EXPECT_EQ(APInt(32,  uint64_t(-1LL)), APInt(32,  "-1", 36));
795   EXPECT_EQ(APInt(32, uint64_t(-35LL)), APInt(32,  "-Z", 36));
796   EXPECT_EQ(APInt(32, uint64_t(-36LL)), APInt(32, "-10", 36));
797   EXPECT_EQ(APInt(32, uint64_t(-71LL)), APInt(32, "-1Z", 36));
798   EXPECT_EQ(APInt(32, uint64_t(-72LL)), APInt(32, "-20", 36));
799 }
800 
801 TEST(APIntTest, FromArray) {
802   EXPECT_EQ(APInt(32, uint64_t(1)), APInt(32, ArrayRef<uint64_t>(1)));
803 }
804 
805 TEST(APIntTest, StringBitsNeeded2) {
806   EXPECT_EQ(1U, APInt::getBitsNeeded(  "0", 2));
807   EXPECT_EQ(1U, APInt::getBitsNeeded(  "1", 2));
808   EXPECT_EQ(2U, APInt::getBitsNeeded( "10", 2));
809   EXPECT_EQ(2U, APInt::getBitsNeeded( "11", 2));
810   EXPECT_EQ(3U, APInt::getBitsNeeded("100", 2));
811 
812   EXPECT_EQ(1U, APInt::getBitsNeeded(  "+0", 2));
813   EXPECT_EQ(1U, APInt::getBitsNeeded(  "+1", 2));
814   EXPECT_EQ(2U, APInt::getBitsNeeded( "+10", 2));
815   EXPECT_EQ(2U, APInt::getBitsNeeded( "+11", 2));
816   EXPECT_EQ(3U, APInt::getBitsNeeded("+100", 2));
817 
818   EXPECT_EQ(2U, APInt::getBitsNeeded(  "-0", 2));
819   EXPECT_EQ(2U, APInt::getBitsNeeded(  "-1", 2));
820   EXPECT_EQ(3U, APInt::getBitsNeeded( "-10", 2));
821   EXPECT_EQ(3U, APInt::getBitsNeeded( "-11", 2));
822   EXPECT_EQ(4U, APInt::getBitsNeeded("-100", 2));
823 }
824 
825 TEST(APIntTest, StringBitsNeeded8) {
826   EXPECT_EQ(3U, APInt::getBitsNeeded( "0", 8));
827   EXPECT_EQ(3U, APInt::getBitsNeeded( "7", 8));
828   EXPECT_EQ(6U, APInt::getBitsNeeded("10", 8));
829   EXPECT_EQ(6U, APInt::getBitsNeeded("17", 8));
830   EXPECT_EQ(6U, APInt::getBitsNeeded("20", 8));
831 
832   EXPECT_EQ(3U, APInt::getBitsNeeded( "+0", 8));
833   EXPECT_EQ(3U, APInt::getBitsNeeded( "+7", 8));
834   EXPECT_EQ(6U, APInt::getBitsNeeded("+10", 8));
835   EXPECT_EQ(6U, APInt::getBitsNeeded("+17", 8));
836   EXPECT_EQ(6U, APInt::getBitsNeeded("+20", 8));
837 
838   EXPECT_EQ(4U, APInt::getBitsNeeded( "-0", 8));
839   EXPECT_EQ(4U, APInt::getBitsNeeded( "-7", 8));
840   EXPECT_EQ(7U, APInt::getBitsNeeded("-10", 8));
841   EXPECT_EQ(7U, APInt::getBitsNeeded("-17", 8));
842   EXPECT_EQ(7U, APInt::getBitsNeeded("-20", 8));
843 }
844 
845 TEST(APIntTest, StringBitsNeeded10) {
846   EXPECT_EQ(1U, APInt::getBitsNeeded( "0", 10));
847   EXPECT_EQ(2U, APInt::getBitsNeeded( "3", 10));
848   EXPECT_EQ(4U, APInt::getBitsNeeded( "9", 10));
849   EXPECT_EQ(4U, APInt::getBitsNeeded("10", 10));
850   EXPECT_EQ(5U, APInt::getBitsNeeded("19", 10));
851   EXPECT_EQ(5U, APInt::getBitsNeeded("20", 10));
852 
853   EXPECT_EQ(1U, APInt::getBitsNeeded( "+0", 10));
854   EXPECT_EQ(4U, APInt::getBitsNeeded( "+9", 10));
855   EXPECT_EQ(4U, APInt::getBitsNeeded("+10", 10));
856   EXPECT_EQ(5U, APInt::getBitsNeeded("+19", 10));
857   EXPECT_EQ(5U, APInt::getBitsNeeded("+20", 10));
858 
859   EXPECT_EQ(2U, APInt::getBitsNeeded( "-0", 10));
860   EXPECT_EQ(5U, APInt::getBitsNeeded( "-9", 10));
861   EXPECT_EQ(5U, APInt::getBitsNeeded("-10", 10));
862   EXPECT_EQ(6U, APInt::getBitsNeeded("-19", 10));
863   EXPECT_EQ(6U, APInt::getBitsNeeded("-20", 10));
864 }
865 
866 TEST(APIntTest, StringBitsNeeded16) {
867   EXPECT_EQ(4U, APInt::getBitsNeeded( "0", 16));
868   EXPECT_EQ(4U, APInt::getBitsNeeded( "F", 16));
869   EXPECT_EQ(8U, APInt::getBitsNeeded("10", 16));
870   EXPECT_EQ(8U, APInt::getBitsNeeded("1F", 16));
871   EXPECT_EQ(8U, APInt::getBitsNeeded("20", 16));
872 
873   EXPECT_EQ(4U, APInt::getBitsNeeded( "+0", 16));
874   EXPECT_EQ(4U, APInt::getBitsNeeded( "+F", 16));
875   EXPECT_EQ(8U, APInt::getBitsNeeded("+10", 16));
876   EXPECT_EQ(8U, APInt::getBitsNeeded("+1F", 16));
877   EXPECT_EQ(8U, APInt::getBitsNeeded("+20", 16));
878 
879   EXPECT_EQ(5U, APInt::getBitsNeeded( "-0", 16));
880   EXPECT_EQ(5U, APInt::getBitsNeeded( "-F", 16));
881   EXPECT_EQ(9U, APInt::getBitsNeeded("-10", 16));
882   EXPECT_EQ(9U, APInt::getBitsNeeded("-1F", 16));
883   EXPECT_EQ(9U, APInt::getBitsNeeded("-20", 16));
884 }
885 
886 TEST(APIntTest, toString) {
887   SmallString<16> S;
888   bool isSigned;
889 
890   APInt(8, 0).toString(S, 2, true, true);
891   EXPECT_EQ(S.str().str(), "0b0");
892   S.clear();
893   APInt(8, 0).toString(S, 8, true, true);
894   EXPECT_EQ(S.str().str(), "00");
895   S.clear();
896   APInt(8, 0).toString(S, 10, true, true);
897   EXPECT_EQ(S.str().str(), "0");
898   S.clear();
899   APInt(8, 0).toString(S, 16, true, true);
900   EXPECT_EQ(S.str().str(), "0x0");
901   S.clear();
902   APInt(8, 0).toString(S, 36, true, false);
903   EXPECT_EQ(S.str().str(), "0");
904   S.clear();
905 
906   isSigned = false;
907   APInt(8, 255, isSigned).toString(S, 2, isSigned, true);
908   EXPECT_EQ(S.str().str(), "0b11111111");
909   S.clear();
910   APInt(8, 255, isSigned).toString(S, 8, isSigned, true);
911   EXPECT_EQ(S.str().str(), "0377");
912   S.clear();
913   APInt(8, 255, isSigned).toString(S, 10, isSigned, true);
914   EXPECT_EQ(S.str().str(), "255");
915   S.clear();
916   APInt(8, 255, isSigned).toString(S, 16, isSigned, true);
917   EXPECT_EQ(S.str().str(), "0xFF");
918   S.clear();
919   APInt(8, 255, isSigned).toString(S, 36, isSigned, false);
920   EXPECT_EQ(S.str().str(), "73");
921   S.clear();
922 
923   isSigned = true;
924   APInt(8, 255, isSigned).toString(S, 2, isSigned, true);
925   EXPECT_EQ(S.str().str(), "-0b1");
926   S.clear();
927   APInt(8, 255, isSigned).toString(S, 8, isSigned, true);
928   EXPECT_EQ(S.str().str(), "-01");
929   S.clear();
930   APInt(8, 255, isSigned).toString(S, 10, isSigned, true);
931   EXPECT_EQ(S.str().str(), "-1");
932   S.clear();
933   APInt(8, 255, isSigned).toString(S, 16, isSigned, true);
934   EXPECT_EQ(S.str().str(), "-0x1");
935   S.clear();
936   APInt(8, 255, isSigned).toString(S, 36, isSigned, false);
937   EXPECT_EQ(S.str().str(), "-1");
938   S.clear();
939 }
940 
941 TEST(APIntTest, Log2) {
942   EXPECT_EQ(APInt(15, 7).logBase2(), 2U);
943   EXPECT_EQ(APInt(15, 7).ceilLogBase2(), 3U);
944   EXPECT_EQ(APInt(15, 7).exactLogBase2(), -1);
945   EXPECT_EQ(APInt(15, 8).logBase2(), 3U);
946   EXPECT_EQ(APInt(15, 8).ceilLogBase2(), 3U);
947   EXPECT_EQ(APInt(15, 8).exactLogBase2(), 3);
948   EXPECT_EQ(APInt(15, 9).logBase2(), 3U);
949   EXPECT_EQ(APInt(15, 9).ceilLogBase2(), 4U);
950   EXPECT_EQ(APInt(15, 9).exactLogBase2(), -1);
951 }
952 
953 TEST(APIntTest, magic) {
954   EXPECT_EQ(APInt(32, 3).magic().m, APInt(32, "55555556", 16));
955   EXPECT_EQ(APInt(32, 3).magic().s, 0U);
956   EXPECT_EQ(APInt(32, 5).magic().m, APInt(32, "66666667", 16));
957   EXPECT_EQ(APInt(32, 5).magic().s, 1U);
958   EXPECT_EQ(APInt(32, 7).magic().m, APInt(32, "92492493", 16));
959   EXPECT_EQ(APInt(32, 7).magic().s, 2U);
960 }
961 
962 TEST(APIntTest, magicu) {
963   EXPECT_EQ(APInt(32, 3).magicu().m, APInt(32, "AAAAAAAB", 16));
964   EXPECT_EQ(APInt(32, 3).magicu().s, 1U);
965   EXPECT_EQ(APInt(32, 5).magicu().m, APInt(32, "CCCCCCCD", 16));
966   EXPECT_EQ(APInt(32, 5).magicu().s, 2U);
967   EXPECT_EQ(APInt(32, 7).magicu().m, APInt(32, "24924925", 16));
968   EXPECT_EQ(APInt(32, 7).magicu().s, 3U);
969   EXPECT_EQ(APInt(64, 25).magicu(1).m, APInt(64, "A3D70A3D70A3D70B", 16));
970   EXPECT_EQ(APInt(64, 25).magicu(1).s, 4U);
971 }
972 
973 #ifdef GTEST_HAS_DEATH_TEST
974 #ifndef NDEBUG
975 TEST(APIntTest, StringDeath) {
976   EXPECT_DEATH(APInt(0, "", 0), "Bitwidth too small");
977   EXPECT_DEATH(APInt(32, "", 0), "Invalid string length");
978   EXPECT_DEATH(APInt(32, "0", 0), "Radix should be 2, 8, 10, 16, or 36!");
979   EXPECT_DEATH(APInt(32, "", 10), "Invalid string length");
980   EXPECT_DEATH(APInt(32, "-", 10), "String is only a sign, needs a value.");
981   EXPECT_DEATH(APInt(1, "1234", 10), "Insufficient bit width");
982   EXPECT_DEATH(APInt(32, "\0", 10), "Invalid string length");
983   EXPECT_DEATH(APInt(32, StringRef("1\02", 3), 10), "Invalid character in digit string");
984   EXPECT_DEATH(APInt(32, "1L", 10), "Invalid character in digit string");
985 }
986 #endif
987 #endif
988 
989 TEST(APIntTest, mul_clear) {
990   APInt ValA(65, -1ULL);
991   APInt ValB(65, 4);
992   APInt ValC(65, 0);
993   ValC = ValA * ValB;
994   ValA *= ValB;
995   EXPECT_EQ(ValA.toString(10, false), ValC.toString(10, false));
996 }
997 
998 TEST(APIntTest, Rotate) {
999   EXPECT_EQ(APInt(8, 1),  APInt(8, 1).rotl(0));
1000   EXPECT_EQ(APInt(8, 2),  APInt(8, 1).rotl(1));
1001   EXPECT_EQ(APInt(8, 4),  APInt(8, 1).rotl(2));
1002   EXPECT_EQ(APInt(8, 16), APInt(8, 1).rotl(4));
1003   EXPECT_EQ(APInt(8, 1),  APInt(8, 1).rotl(8));
1004 
1005   EXPECT_EQ(APInt(8, 16), APInt(8, 16).rotl(0));
1006   EXPECT_EQ(APInt(8, 32), APInt(8, 16).rotl(1));
1007   EXPECT_EQ(APInt(8, 64), APInt(8, 16).rotl(2));
1008   EXPECT_EQ(APInt(8, 1),  APInt(8, 16).rotl(4));
1009   EXPECT_EQ(APInt(8, 16), APInt(8, 16).rotl(8));
1010 
1011   EXPECT_EQ(APInt(8, 16), APInt(8, 16).rotr(0));
1012   EXPECT_EQ(APInt(8, 8),  APInt(8, 16).rotr(1));
1013   EXPECT_EQ(APInt(8, 4),  APInt(8, 16).rotr(2));
1014   EXPECT_EQ(APInt(8, 1),  APInt(8, 16).rotr(4));
1015   EXPECT_EQ(APInt(8, 16), APInt(8, 16).rotr(8));
1016 
1017   EXPECT_EQ(APInt(8, 1),   APInt(8, 1).rotr(0));
1018   EXPECT_EQ(APInt(8, 128), APInt(8, 1).rotr(1));
1019   EXPECT_EQ(APInt(8, 64),  APInt(8, 1).rotr(2));
1020   EXPECT_EQ(APInt(8, 16),  APInt(8, 1).rotr(4));
1021   EXPECT_EQ(APInt(8, 1),   APInt(8, 1).rotr(8));
1022 
1023   APInt Big(256, "00004000800000000000000000003fff8000000000000000", 16);
1024   APInt Rot(256, "3fff80000000000000000000000000000000000040008000", 16);
1025   EXPECT_EQ(Rot, Big.rotr(144));
1026 }
1027 
1028 TEST(APIntTest, Splat) {
1029   APInt ValA(8, 0x01);
1030   EXPECT_EQ(ValA, APInt::getSplat(8, ValA));
1031   EXPECT_EQ(APInt(64, 0x0101010101010101ULL), APInt::getSplat(64, ValA));
1032 
1033   APInt ValB(3, 5);
1034   EXPECT_EQ(APInt(4, 0xD), APInt::getSplat(4, ValB));
1035   EXPECT_EQ(APInt(15, 0xDB6D), APInt::getSplat(15, ValB));
1036 }
1037 
1038 TEST(APIntTest, tcDecrement) {
1039   // Test single word decrement.
1040 
1041   // No out borrow.
1042   {
1043     integerPart singleWord = ~integerPart(0) << (integerPartWidth - 1);
1044     integerPart carry = APInt::tcDecrement(&singleWord, 1);
1045     EXPECT_EQ(carry, integerPart(0));
1046     EXPECT_EQ(singleWord, ~integerPart(0) >> 1);
1047   }
1048 
1049   // With out borrow.
1050   {
1051     integerPart singleWord = 0;
1052     integerPart carry = APInt::tcDecrement(&singleWord, 1);
1053     EXPECT_EQ(carry, integerPart(1));
1054     EXPECT_EQ(singleWord, ~integerPart(0));
1055   }
1056 
1057   // Test multiword decrement.
1058 
1059   // No across word borrow, no out borrow.
1060   {
1061     integerPart test[4] = {0x1, 0x1, 0x1, 0x1};
1062     integerPart expected[4] = {0x0, 0x1, 0x1, 0x1};
1063     APInt::tcDecrement(test, 4);
1064     EXPECT_EQ(APInt::tcCompare(test, expected, 4), 0);
1065   }
1066 
1067   // 1 across word borrow, no out borrow.
1068   {
1069     integerPart test[4] = {0x0, 0xF, 0x1, 0x1};
1070     integerPart expected[4] = {~integerPart(0), 0xE, 0x1, 0x1};
1071     integerPart carry = APInt::tcDecrement(test, 4);
1072     EXPECT_EQ(carry, integerPart(0));
1073     EXPECT_EQ(APInt::tcCompare(test, expected, 4), 0);
1074   }
1075 
1076   // 2 across word borrow, no out borrow.
1077   {
1078     integerPart test[4] = {0x0, 0x0, 0xC, 0x1};
1079     integerPart expected[4] = {~integerPart(0), ~integerPart(0), 0xB, 0x1};
1080     integerPart carry = APInt::tcDecrement(test, 4);
1081     EXPECT_EQ(carry, integerPart(0));
1082     EXPECT_EQ(APInt::tcCompare(test, expected, 4), 0);
1083   }
1084 
1085   // 3 across word borrow, no out borrow.
1086   {
1087     integerPart test[4] = {0x0, 0x0, 0x0, 0x1};
1088     integerPart expected[4] = {~integerPart(0), ~integerPart(0), ~integerPart(0), 0x0};
1089     integerPart carry = APInt::tcDecrement(test, 4);
1090     EXPECT_EQ(carry, integerPart(0));
1091     EXPECT_EQ(APInt::tcCompare(test, expected, 4), 0);
1092   }
1093 
1094   // 3 across word borrow, with out borrow.
1095   {
1096     integerPart test[4] = {0x0, 0x0, 0x0, 0x0};
1097     integerPart expected[4] = {~integerPart(0), ~integerPart(0), ~integerPart(0), ~integerPart(0)};
1098     integerPart carry = APInt::tcDecrement(test, 4);
1099     EXPECT_EQ(carry, integerPart(1));
1100     EXPECT_EQ(APInt::tcCompare(test, expected, 4), 0);
1101   }
1102 }
1103 
1104 TEST(APIntTest, arrayAccess) {
1105   // Single word check.
1106   uint64_t E1 = 0x2CA7F46BF6569915ULL;
1107   APInt A1(64, E1);
1108   for (unsigned i = 0, e = 64; i < e; ++i) {
1109     EXPECT_EQ(bool(E1 & (1ULL << i)),
1110               A1[i]);
1111   }
1112 
1113   // Multiword check.
1114   integerPart E2[4] = {
1115     0xEB6EB136591CBA21ULL,
1116     0x7B9358BD6A33F10AULL,
1117     0x7E7FFA5EADD8846ULL,
1118     0x305F341CA00B613DULL
1119   };
1120   APInt A2(integerPartWidth*4, E2);
1121   for (unsigned i = 0; i < 4; ++i) {
1122     for (unsigned j = 0; j < integerPartWidth; ++j) {
1123       EXPECT_EQ(bool(E2[i] & (1ULL << j)),
1124                 A2[i*integerPartWidth + j]);
1125     }
1126   }
1127 }
1128 
1129 TEST(APIntTest, LargeAPIntConstruction) {
1130   // Check that we can properly construct very large APInt. It is very
1131   // unlikely that people will ever do this, but it is a legal input,
1132   // so we should not crash on it.
1133   APInt A9(UINT32_MAX, 0);
1134   EXPECT_FALSE(A9.getBoolValue());
1135 }
1136 
1137 TEST(APIntTest, nearestLogBase2) {
1138   // Single word check.
1139 
1140   // Test round up.
1141   uint64_t I1 = 0x1800001;
1142   APInt A1(64, I1);
1143   EXPECT_EQ(A1.nearestLogBase2(), A1.ceilLogBase2());
1144 
1145   // Test round down.
1146   uint64_t I2 = 0x1000011;
1147   APInt A2(64, I2);
1148   EXPECT_EQ(A2.nearestLogBase2(), A2.logBase2());
1149 
1150   // Test ties round up.
1151   uint64_t I3 = 0x1800000;
1152   APInt A3(64, I3);
1153   EXPECT_EQ(A3.nearestLogBase2(), A3.ceilLogBase2());
1154 
1155   // Multiple word check.
1156 
1157   // Test round up.
1158   integerPart I4[4] = {0x0, 0xF, 0x18, 0x0};
1159   APInt A4(integerPartWidth*4, I4);
1160   EXPECT_EQ(A4.nearestLogBase2(), A4.ceilLogBase2());
1161 
1162   // Test round down.
1163   integerPart I5[4] = {0x0, 0xF, 0x10, 0x0};
1164   APInt A5(integerPartWidth*4, I5);
1165   EXPECT_EQ(A5.nearestLogBase2(), A5.logBase2());
1166 
1167   // Test ties round up.
1168   uint64_t I6[4] = {0x0, 0x0, 0x0, 0x18};
1169   APInt A6(integerPartWidth*4, I6);
1170   EXPECT_EQ(A6.nearestLogBase2(), A6.ceilLogBase2());
1171 
1172   // Test BitWidth == 1 special cases.
1173   APInt A7(1, 1);
1174   EXPECT_EQ(A7.nearestLogBase2(), 0ULL);
1175   APInt A8(1, 0);
1176   EXPECT_EQ(A8.nearestLogBase2(), UINT32_MAX);
1177 
1178   // Test the zero case when we have a bit width large enough such
1179   // that the bit width is larger than UINT32_MAX-1.
1180   APInt A9(UINT32_MAX, 0);
1181   EXPECT_EQ(A9.nearestLogBase2(), UINT32_MAX);
1182 }
1183 
1184 TEST(APIntTest, IsSplat) {
1185   APInt A(32, 0x01010101);
1186   EXPECT_FALSE(A.isSplat(1));
1187   EXPECT_FALSE(A.isSplat(2));
1188   EXPECT_FALSE(A.isSplat(4));
1189   EXPECT_TRUE(A.isSplat(8));
1190   EXPECT_TRUE(A.isSplat(16));
1191   EXPECT_TRUE(A.isSplat(32));
1192 
1193   APInt B(24, 0xAAAAAA);
1194   EXPECT_FALSE(B.isSplat(1));
1195   EXPECT_TRUE(B.isSplat(2));
1196   EXPECT_TRUE(B.isSplat(4));
1197   EXPECT_TRUE(B.isSplat(8));
1198   EXPECT_TRUE(B.isSplat(24));
1199 
1200   APInt C(24, 0xABAAAB);
1201   EXPECT_FALSE(C.isSplat(1));
1202   EXPECT_FALSE(C.isSplat(2));
1203   EXPECT_FALSE(C.isSplat(4));
1204   EXPECT_FALSE(C.isSplat(8));
1205   EXPECT_TRUE(C.isSplat(24));
1206 
1207   APInt D(32, 0xABBAABBA);
1208   EXPECT_FALSE(D.isSplat(1));
1209   EXPECT_FALSE(D.isSplat(2));
1210   EXPECT_FALSE(D.isSplat(4));
1211   EXPECT_FALSE(D.isSplat(8));
1212   EXPECT_TRUE(D.isSplat(16));
1213   EXPECT_TRUE(D.isSplat(32));
1214 
1215   APInt E(32, 0);
1216   EXPECT_TRUE(E.isSplat(1));
1217   EXPECT_TRUE(E.isSplat(2));
1218   EXPECT_TRUE(E.isSplat(4));
1219   EXPECT_TRUE(E.isSplat(8));
1220   EXPECT_TRUE(E.isSplat(16));
1221   EXPECT_TRUE(E.isSplat(32));
1222 }
1223 
1224 TEST(APIntTest, isMask) {
1225   EXPECT_FALSE(APIntOps::isMask(APInt(32, 0x01010101)));
1226   EXPECT_FALSE(APIntOps::isMask(APInt(32, 0xf0000000)));
1227   EXPECT_FALSE(APIntOps::isMask(APInt(32, 0xffff0000)));
1228   EXPECT_FALSE(APIntOps::isMask(APInt(32, 0xff << 1)));
1229 
1230   for (int N : { 1, 2, 3, 4, 7, 8, 16, 32, 64, 127, 128, 129, 256 }) {
1231     EXPECT_FALSE(APIntOps::isMask(APInt(N, 0)));
1232 
1233     APInt One(N, 1);
1234     for (int I = 1; I <= N; ++I) {
1235       APInt MaskVal = One.shl(I) - 1;
1236       EXPECT_TRUE(APIntOps::isMask(MaskVal));
1237     }
1238   }
1239 }
1240 
1241 #if defined(__clang__)
1242 // Disable the pragma warning from versions of Clang without -Wself-move
1243 #pragma clang diagnostic push
1244 #pragma clang diagnostic ignored "-Wunknown-pragmas"
1245 // Disable the warning that triggers on exactly what is being tested.
1246 #pragma clang diagnostic push
1247 #pragma clang diagnostic ignored "-Wself-move"
1248 #endif
1249 TEST(APIntTest, SelfMoveAssignment) {
1250   APInt X(32, 0xdeadbeef);
1251   X = std::move(X);
1252   EXPECT_EQ(32u, X.getBitWidth());
1253   EXPECT_EQ(0xdeadbeefULL, X.getLimitedValue());
1254 
1255   uint64_t Bits[] = {0xdeadbeefdeadbeefULL, 0xdeadbeefdeadbeefULL};
1256   APInt Y(128, Bits);
1257   Y = std::move(Y);
1258   EXPECT_EQ(128u, Y.getBitWidth());
1259   EXPECT_EQ(~0ULL, Y.getLimitedValue());
1260   const uint64_t *Raw = Y.getRawData();
1261   EXPECT_EQ(2u, Y.getNumWords());
1262   EXPECT_EQ(0xdeadbeefdeadbeefULL, Raw[0]);
1263   EXPECT_EQ(0xdeadbeefdeadbeefULL, Raw[1]);
1264 }
1265 #if defined(__clang__)
1266 #pragma clang diagnostic pop
1267 #pragma clang diagnostic pop
1268 #endif
1269 }
1270 
1271 TEST(APIntTest, reverseBits) {
1272   EXPECT_EQ(1, APInt(1, 1).reverseBits());
1273   EXPECT_EQ(0, APInt(1, 0).reverseBits());
1274 
1275   EXPECT_EQ(3, APInt(2, 3).reverseBits());
1276   EXPECT_EQ(3, APInt(2, 3).reverseBits());
1277 
1278   EXPECT_EQ(0xb, APInt(4, 0xd).reverseBits());
1279   EXPECT_EQ(0xd, APInt(4, 0xb).reverseBits());
1280   EXPECT_EQ(0xf, APInt(4, 0xf).reverseBits());
1281 
1282   EXPECT_EQ(0x30, APInt(7, 0x6).reverseBits());
1283   EXPECT_EQ(0x5a, APInt(7, 0x2d).reverseBits());
1284 
1285   EXPECT_EQ(0x0f, APInt(8, 0xf0).reverseBits());
1286   EXPECT_EQ(0xf0, APInt(8, 0x0f).reverseBits());
1287 
1288   EXPECT_EQ(0x0f0f, APInt(16, 0xf0f0).reverseBits());
1289   EXPECT_EQ(0xf0f0, APInt(16, 0x0f0f).reverseBits());
1290 
1291   EXPECT_EQ(0x0f0f0f0f, APInt(32, 0xf0f0f0f0).reverseBits());
1292   EXPECT_EQ(0xf0f0f0f0, APInt(32, 0x0f0f0f0f).reverseBits());
1293 
1294   EXPECT_EQ(0x402880a0 >> 1, APInt(31, 0x05011402).reverseBits());
1295 
1296   EXPECT_EQ(0x0f0f0f0f, APInt(32, 0xf0f0f0f0).reverseBits());
1297   EXPECT_EQ(0xf0f0f0f0, APInt(32, 0x0f0f0f0f).reverseBits());
1298 
1299   EXPECT_EQ(0x0f0f0f0f0f0f0f0f, APInt(64, 0xf0f0f0f0f0f0f0f0).reverseBits());
1300   EXPECT_EQ(0xf0f0f0f0f0f0f0f0, APInt(64, 0x0f0f0f0f0f0f0f0f).reverseBits());
1301 
1302   for (unsigned N : { 1, 8, 16, 24, 31, 32, 33,
1303                       63, 64, 65, 127, 128, 257, 1024 }) {
1304     for (unsigned I = 0; I < N; ++I) {
1305       APInt X = APInt::getOneBitSet(N, I);
1306       APInt Y = APInt::getOneBitSet(N, N - (I + 1));
1307       EXPECT_EQ(Y, X.reverseBits());
1308       EXPECT_EQ(X, Y.reverseBits());
1309     }
1310   }
1311 }
1312