1 //===- llvm/unittest/ADT/APInt.cpp - APInt unit tests ---------------------===//
3 // The LLVM Compiler Infrastructure
5 // This file is distributed under the University of Illinois Open Source
6 // License. See LICENSE.TXT for details.
8 //===----------------------------------------------------------------------===//
10 #include "llvm/ADT/APInt.h"
11 #include "llvm/ADT/ArrayRef.h"
12 #include "llvm/ADT/SmallString.h"
13 #include "gtest/gtest.h"
20 TEST(APIntTest, ValueInit) {
23 EXPECT_TRUE(!Zero.zext(64));
24 EXPECT_TRUE(!Zero.sext(64));
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);
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));
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());
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());
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());
66 TEST(APIntTest, i61_Count) {
67 APInt i61(61, 1 << 15);
68 EXPECT_EQ(45u, i61.countLeadingZeros());
69 EXPECT_EQ(0u, i61.countLeadingOnes());
70 EXPECT_EQ(16u, i61.getActiveBits());
71 EXPECT_EQ(15u, i61.countTrailingZeros());
72 EXPECT_EQ(1u, i61.countPopulation());
73 EXPECT_EQ(static_cast<int64_t>(1 << 15), i61.getSExtValue());
74 EXPECT_EQ(static_cast<uint64_t>(1 << 15), i61.getZExtValue());
77 EXPECT_EQ(42u, i61.countLeadingZeros());
78 EXPECT_EQ(0u, i61.countLeadingOnes());
79 EXPECT_EQ(19u, i61.getActiveBits());
80 EXPECT_EQ(8u, i61.countTrailingZeros());
81 EXPECT_EQ(11u, i61.countPopulation());
82 EXPECT_EQ(static_cast<int64_t>((1 << 19) - (1 << 8)), i61.getSExtValue());
83 EXPECT_EQ(static_cast<uint64_t>((1 << 19) - (1 << 8)), i61.getZExtValue());
86 TEST(APIntTest, i65_Count) {
87 APInt i65(65, 0, true);
88 EXPECT_EQ(65u, i65.countLeadingZeros());
89 EXPECT_EQ(0u, i65.countLeadingOnes());
90 EXPECT_EQ(0u, i65.getActiveBits());
91 EXPECT_EQ(1u, i65.getActiveWords());
92 EXPECT_EQ(65u, i65.countTrailingZeros());
93 EXPECT_EQ(0u, i65.countPopulation());
95 APInt i65minus(65, 0, true);
97 EXPECT_EQ(0u, i65minus.countLeadingZeros());
98 EXPECT_EQ(1u, i65minus.countLeadingOnes());
99 EXPECT_EQ(65u, i65minus.getActiveBits());
100 EXPECT_EQ(64u, i65minus.countTrailingZeros());
101 EXPECT_EQ(1u, i65minus.countPopulation());
104 TEST(APIntTest, i128_PositiveCount) {
105 APInt u128max = APInt::getAllOnesValue(128);
106 EXPECT_EQ(128u, u128max.countLeadingOnes());
107 EXPECT_EQ(0u, u128max.countLeadingZeros());
108 EXPECT_EQ(128u, u128max.getActiveBits());
109 EXPECT_EQ(0u, u128max.countTrailingZeros());
110 EXPECT_EQ(128u, u128max.countTrailingOnes());
111 EXPECT_EQ(128u, u128max.countPopulation());
113 APInt u64max(128, static_cast<uint64_t>(-1), false);
114 EXPECT_EQ(64u, u64max.countLeadingZeros());
115 EXPECT_EQ(0u, u64max.countLeadingOnes());
116 EXPECT_EQ(64u, u64max.getActiveBits());
117 EXPECT_EQ(0u, u64max.countTrailingZeros());
118 EXPECT_EQ(64u, u64max.countTrailingOnes());
119 EXPECT_EQ(64u, u64max.countPopulation());
120 EXPECT_EQ((uint64_t)~0ull, u64max.getZExtValue());
122 APInt zero(128, 0, true);
123 EXPECT_EQ(128u, zero.countLeadingZeros());
124 EXPECT_EQ(0u, zero.countLeadingOnes());
125 EXPECT_EQ(0u, zero.getActiveBits());
126 EXPECT_EQ(128u, zero.countTrailingZeros());
127 EXPECT_EQ(0u, zero.countTrailingOnes());
128 EXPECT_EQ(0u, zero.countPopulation());
129 EXPECT_EQ(0u, zero.getSExtValue());
130 EXPECT_EQ(0u, zero.getZExtValue());
132 APInt one(128, 1, true);
133 EXPECT_EQ(127u, one.countLeadingZeros());
134 EXPECT_EQ(0u, one.countLeadingOnes());
135 EXPECT_EQ(1u, one.getActiveBits());
136 EXPECT_EQ(0u, one.countTrailingZeros());
137 EXPECT_EQ(1u, one.countTrailingOnes());
138 EXPECT_EQ(1u, one.countPopulation());
139 EXPECT_EQ(1, one.getSExtValue());
140 EXPECT_EQ(1u, one.getZExtValue());
142 APInt s128(128, 2, true);
143 EXPECT_EQ(126u, s128.countLeadingZeros());
144 EXPECT_EQ(0u, s128.countLeadingOnes());
145 EXPECT_EQ(2u, s128.getActiveBits());
146 EXPECT_EQ(1u, s128.countTrailingZeros());
147 EXPECT_EQ(0u, s128.countTrailingOnes());
148 EXPECT_EQ(1u, s128.countPopulation());
149 EXPECT_EQ(2, s128.getSExtValue());
150 EXPECT_EQ(2u, s128.getZExtValue());
153 s128.setBits(42, 42);
154 EXPECT_EQ(126u, s128.countLeadingZeros());
155 EXPECT_EQ(0u, s128.countLeadingOnes());
156 EXPECT_EQ(2u, s128.getActiveBits());
157 EXPECT_EQ(1u, s128.countTrailingZeros());
158 EXPECT_EQ(0u, s128.countTrailingOnes());
159 EXPECT_EQ(1u, s128.countPopulation());
160 EXPECT_EQ(2, s128.getSExtValue());
161 EXPECT_EQ(2u, s128.getZExtValue());
164 EXPECT_EQ(96u, s128.countLeadingZeros());
165 EXPECT_EQ(0u, s128.countLeadingOnes());
166 EXPECT_EQ(32u, s128.getActiveBits());
167 EXPECT_EQ(33u, s128.getMinSignedBits());
168 EXPECT_EQ(1u, s128.countTrailingZeros());
169 EXPECT_EQ(0u, s128.countTrailingOnes());
170 EXPECT_EQ(30u, s128.countPopulation());
171 EXPECT_EQ(static_cast<uint32_t>((~0u << 3) | 2), s128.getZExtValue());
173 s128.setBits(62, 128);
174 EXPECT_EQ(0u, s128.countLeadingZeros());
175 EXPECT_EQ(66u, s128.countLeadingOnes());
176 EXPECT_EQ(128u, s128.getActiveBits());
177 EXPECT_EQ(63u, s128.getMinSignedBits());
178 EXPECT_EQ(1u, s128.countTrailingZeros());
179 EXPECT_EQ(0u, s128.countTrailingOnes());
180 EXPECT_EQ(96u, s128.countPopulation());
181 EXPECT_EQ(static_cast<int64_t>((3ull << 62) |
182 static_cast<uint32_t>((~0u << 3) | 2)),
183 s128.getSExtValue());
186 TEST(APIntTest, i256) {
187 APInt s256(256, 15, true);
188 EXPECT_EQ(252u, s256.countLeadingZeros());
189 EXPECT_EQ(0u, s256.countLeadingOnes());
190 EXPECT_EQ(4u, s256.getActiveBits());
191 EXPECT_EQ(0u, s256.countTrailingZeros());
192 EXPECT_EQ(4u, s256.countTrailingOnes());
193 EXPECT_EQ(4u, s256.countPopulation());
194 EXPECT_EQ(15, s256.getSExtValue());
195 EXPECT_EQ(15u, s256.getZExtValue());
197 s256.setBits(62, 66);
198 EXPECT_EQ(190u, s256.countLeadingZeros());
199 EXPECT_EQ(0u, s256.countLeadingOnes());
200 EXPECT_EQ(66u, s256.getActiveBits());
201 EXPECT_EQ(67u, s256.getMinSignedBits());
202 EXPECT_EQ(0u, s256.countTrailingZeros());
203 EXPECT_EQ(4u, s256.countTrailingOnes());
204 EXPECT_EQ(8u, s256.countPopulation());
206 s256.setBits(60, 256);
207 EXPECT_EQ(0u, s256.countLeadingZeros());
208 EXPECT_EQ(196u, s256.countLeadingOnes());
209 EXPECT_EQ(256u, s256.getActiveBits());
210 EXPECT_EQ(61u, s256.getMinSignedBits());
211 EXPECT_EQ(0u, s256.countTrailingZeros());
212 EXPECT_EQ(4u, s256.countTrailingOnes());
213 EXPECT_EQ(200u, s256.countPopulation());
214 EXPECT_EQ(static_cast<int64_t>((~0ull << 60) | 15), s256.getSExtValue());
217 TEST(APIntTest, i1) {
218 const APInt neg_two(1, static_cast<uint64_t>(-2), true);
219 const APInt neg_one(1, static_cast<uint64_t>(-1), true);
220 const APInt zero(1, 0);
221 const APInt one(1, 1);
222 const APInt two(1, 2);
224 EXPECT_EQ(0, neg_two.getSExtValue());
225 EXPECT_EQ(-1, neg_one.getSExtValue());
226 EXPECT_EQ(1u, neg_one.getZExtValue());
227 EXPECT_EQ(0u, zero.getZExtValue());
228 EXPECT_EQ(-1, one.getSExtValue());
229 EXPECT_EQ(1u, one.getZExtValue());
230 EXPECT_EQ(0u, two.getZExtValue());
231 EXPECT_EQ(0, two.getSExtValue());
233 // Basic equalities for 1-bit values.
234 EXPECT_EQ(zero, two);
235 EXPECT_EQ(zero, neg_two);
236 EXPECT_EQ(one, neg_one);
237 EXPECT_EQ(two, neg_two);
239 // Min/max signed values.
240 EXPECT_TRUE(zero.isMaxSignedValue());
241 EXPECT_FALSE(one.isMaxSignedValue());
242 EXPECT_FALSE(zero.isMinSignedValue());
243 EXPECT_TRUE(one.isMinSignedValue());
246 EXPECT_EQ(two, one + one);
247 EXPECT_EQ(zero, neg_one + one);
248 EXPECT_EQ(neg_two, neg_one + neg_one);
251 EXPECT_EQ(neg_two, neg_one - one);
252 EXPECT_EQ(two, one - neg_one);
253 EXPECT_EQ(zero, one - one);
256 EXPECT_EQ(zero, zero & zero);
257 EXPECT_EQ(zero, one & zero);
258 EXPECT_EQ(zero, zero & one);
259 EXPECT_EQ(one, one & one);
260 EXPECT_EQ(zero, zero & zero);
261 EXPECT_EQ(zero, neg_one & zero);
262 EXPECT_EQ(zero, zero & neg_one);
263 EXPECT_EQ(neg_one, neg_one & neg_one);
266 EXPECT_EQ(zero, zero | zero);
267 EXPECT_EQ(one, one | zero);
268 EXPECT_EQ(one, zero | one);
269 EXPECT_EQ(one, one | one);
270 EXPECT_EQ(zero, zero | zero);
271 EXPECT_EQ(neg_one, neg_one | zero);
272 EXPECT_EQ(neg_one, zero | neg_one);
273 EXPECT_EQ(neg_one, neg_one | neg_one);
276 EXPECT_EQ(zero, zero ^ zero);
277 EXPECT_EQ(one, one ^ zero);
278 EXPECT_EQ(one, zero ^ one);
279 EXPECT_EQ(zero, one ^ one);
280 EXPECT_EQ(zero, zero ^ zero);
281 EXPECT_EQ(neg_one, neg_one ^ zero);
282 EXPECT_EQ(neg_one, zero ^ neg_one);
283 EXPECT_EQ(zero, neg_one ^ neg_one);
286 EXPECT_EQ(zero, one << one);
287 EXPECT_EQ(one, one << zero);
288 EXPECT_EQ(zero, one.shl(1));
289 EXPECT_EQ(one, one.shl(0));
290 EXPECT_EQ(zero, one.lshr(1));
291 EXPECT_EQ(one, one.ashr(1));
294 EXPECT_EQ(one, one.rotl(0));
295 EXPECT_EQ(one, one.rotl(1));
296 EXPECT_EQ(one, one.rotr(0));
297 EXPECT_EQ(one, one.rotr(1));
300 EXPECT_EQ(neg_one, neg_one * one);
301 EXPECT_EQ(neg_one, one * neg_one);
302 EXPECT_EQ(one, neg_one * neg_one);
303 EXPECT_EQ(one, one * one);
306 EXPECT_EQ(neg_one, one.sdiv(neg_one));
307 EXPECT_EQ(neg_one, neg_one.sdiv(one));
308 EXPECT_EQ(one, neg_one.sdiv(neg_one));
309 EXPECT_EQ(one, one.sdiv(one));
311 EXPECT_EQ(neg_one, one.udiv(neg_one));
312 EXPECT_EQ(neg_one, neg_one.udiv(one));
313 EXPECT_EQ(one, neg_one.udiv(neg_one));
314 EXPECT_EQ(one, one.udiv(one));
317 EXPECT_EQ(zero, neg_one.srem(one));
318 EXPECT_EQ(zero, neg_one.urem(one));
319 EXPECT_EQ(zero, one.srem(neg_one));
330 EXPECT_EQ(nine.srem(two), one);
331 EXPECT_EQ(nine.srem(-two), one);
332 EXPECT_EQ((-nine).srem(two), -one);
333 EXPECT_EQ((-nine).srem(-two), -one);
335 APInt::sdivrem(nine, two, q, r);
338 APInt::sdivrem(-nine, two, q, r);
341 APInt::sdivrem(nine, -two, q, r);
344 APInt::sdivrem(-nine, -two, q, r);
350 TEST(APIntTest, compare) {
351 std::array<APInt, 5> testVals{{
355 APInt{16, (uint64_t)-1, true},
356 APInt{16, (uint64_t)-2, true},
359 for (auto &arg1 : testVals)
360 for (auto &arg2 : testVals) {
361 auto uv1 = arg1.getZExtValue();
362 auto uv2 = arg2.getZExtValue();
363 auto sv1 = arg1.getSExtValue();
364 auto sv2 = arg2.getSExtValue();
366 EXPECT_EQ(uv1 < uv2, arg1.ult(arg2));
367 EXPECT_EQ(uv1 <= uv2, arg1.ule(arg2));
368 EXPECT_EQ(uv1 > uv2, arg1.ugt(arg2));
369 EXPECT_EQ(uv1 >= uv2, arg1.uge(arg2));
371 EXPECT_EQ(sv1 < sv2, arg1.slt(arg2));
372 EXPECT_EQ(sv1 <= sv2, arg1.sle(arg2));
373 EXPECT_EQ(sv1 > sv2, arg1.sgt(arg2));
374 EXPECT_EQ(sv1 >= sv2, arg1.sge(arg2));
376 EXPECT_EQ(uv1 < uv2, arg1.ult(uv2));
377 EXPECT_EQ(uv1 <= uv2, arg1.ule(uv2));
378 EXPECT_EQ(uv1 > uv2, arg1.ugt(uv2));
379 EXPECT_EQ(uv1 >= uv2, arg1.uge(uv2));
381 EXPECT_EQ(sv1 < sv2, arg1.slt(sv2));
382 EXPECT_EQ(sv1 <= sv2, arg1.sle(sv2));
383 EXPECT_EQ(sv1 > sv2, arg1.sgt(sv2));
384 EXPECT_EQ(sv1 >= sv2, arg1.sge(sv2));
388 TEST(APIntTest, compareWithRawIntegers) {
389 EXPECT_TRUE(!APInt(8, 1).uge(256));
390 EXPECT_TRUE(!APInt(8, 1).ugt(256));
391 EXPECT_TRUE( APInt(8, 1).ule(256));
392 EXPECT_TRUE( APInt(8, 1).ult(256));
393 EXPECT_TRUE(!APInt(8, 1).sge(256));
394 EXPECT_TRUE(!APInt(8, 1).sgt(256));
395 EXPECT_TRUE( APInt(8, 1).sle(256));
396 EXPECT_TRUE( APInt(8, 1).slt(256));
397 EXPECT_TRUE(!(APInt(8, 0) == 256));
398 EXPECT_TRUE( APInt(8, 0) != 256);
399 EXPECT_TRUE(!(APInt(8, 1) == 256));
400 EXPECT_TRUE( APInt(8, 1) != 256);
402 auto uint64max = UINT64_MAX;
403 auto int64max = INT64_MAX;
404 auto int64min = INT64_MIN;
406 auto u64 = APInt{128, uint64max};
407 auto s64 = APInt{128, static_cast<uint64_t>(int64max), true};
410 EXPECT_TRUE( u64.uge(uint64max));
411 EXPECT_TRUE(!u64.ugt(uint64max));
412 EXPECT_TRUE( u64.ule(uint64max));
413 EXPECT_TRUE(!u64.ult(uint64max));
414 EXPECT_TRUE( u64.sge(int64max));
415 EXPECT_TRUE( u64.sgt(int64max));
416 EXPECT_TRUE(!u64.sle(int64max));
417 EXPECT_TRUE(!u64.slt(int64max));
418 EXPECT_TRUE( u64.sge(int64min));
419 EXPECT_TRUE( u64.sgt(int64min));
420 EXPECT_TRUE(!u64.sle(int64min));
421 EXPECT_TRUE(!u64.slt(int64min));
423 EXPECT_TRUE(u64 == uint64max);
424 EXPECT_TRUE(u64 != int64max);
425 EXPECT_TRUE(u64 != int64min);
427 EXPECT_TRUE(!s64.uge(uint64max));
428 EXPECT_TRUE(!s64.ugt(uint64max));
429 EXPECT_TRUE( s64.ule(uint64max));
430 EXPECT_TRUE( s64.ult(uint64max));
431 EXPECT_TRUE( s64.sge(int64max));
432 EXPECT_TRUE(!s64.sgt(int64max));
433 EXPECT_TRUE( s64.sle(int64max));
434 EXPECT_TRUE(!s64.slt(int64max));
435 EXPECT_TRUE( s64.sge(int64min));
436 EXPECT_TRUE( s64.sgt(int64min));
437 EXPECT_TRUE(!s64.sle(int64min));
438 EXPECT_TRUE(!s64.slt(int64min));
440 EXPECT_TRUE(s64 != uint64max);
441 EXPECT_TRUE(s64 == int64max);
442 EXPECT_TRUE(s64 != int64min);
444 EXPECT_TRUE( big.uge(uint64max));
445 EXPECT_TRUE( big.ugt(uint64max));
446 EXPECT_TRUE(!big.ule(uint64max));
447 EXPECT_TRUE(!big.ult(uint64max));
448 EXPECT_TRUE( big.sge(int64max));
449 EXPECT_TRUE( big.sgt(int64max));
450 EXPECT_TRUE(!big.sle(int64max));
451 EXPECT_TRUE(!big.slt(int64max));
452 EXPECT_TRUE( big.sge(int64min));
453 EXPECT_TRUE( big.sgt(int64min));
454 EXPECT_TRUE(!big.sle(int64min));
455 EXPECT_TRUE(!big.slt(int64min));
457 EXPECT_TRUE(big != uint64max);
458 EXPECT_TRUE(big != int64max);
459 EXPECT_TRUE(big != int64min);
462 TEST(APIntTest, compareWithInt64Min) {
463 int64_t edge = INT64_MIN;
464 int64_t edgeP1 = edge + 1;
465 int64_t edgeM1 = INT64_MAX;
466 auto a = APInt{64, static_cast<uint64_t>(edge), true};
468 EXPECT_TRUE(!a.slt(edge));
469 EXPECT_TRUE( a.sle(edge));
470 EXPECT_TRUE(!a.sgt(edge));
471 EXPECT_TRUE( a.sge(edge));
472 EXPECT_TRUE( a.slt(edgeP1));
473 EXPECT_TRUE( a.sle(edgeP1));
474 EXPECT_TRUE(!a.sgt(edgeP1));
475 EXPECT_TRUE(!a.sge(edgeP1));
476 EXPECT_TRUE( a.slt(edgeM1));
477 EXPECT_TRUE( a.sle(edgeM1));
478 EXPECT_TRUE(!a.sgt(edgeM1));
479 EXPECT_TRUE(!a.sge(edgeM1));
482 TEST(APIntTest, compareWithHalfInt64Max) {
483 uint64_t edge = 0x4000000000000000;
484 uint64_t edgeP1 = edge + 1;
485 uint64_t edgeM1 = edge - 1;
486 auto a = APInt{64, edge};
488 EXPECT_TRUE(!a.ult(edge));
489 EXPECT_TRUE( a.ule(edge));
490 EXPECT_TRUE(!a.ugt(edge));
491 EXPECT_TRUE( a.uge(edge));
492 EXPECT_TRUE( a.ult(edgeP1));
493 EXPECT_TRUE( a.ule(edgeP1));
494 EXPECT_TRUE(!a.ugt(edgeP1));
495 EXPECT_TRUE(!a.uge(edgeP1));
496 EXPECT_TRUE(!a.ult(edgeM1));
497 EXPECT_TRUE(!a.ule(edgeM1));
498 EXPECT_TRUE( a.ugt(edgeM1));
499 EXPECT_TRUE( a.uge(edgeM1));
501 EXPECT_TRUE(!a.slt(edge));
502 EXPECT_TRUE( a.sle(edge));
503 EXPECT_TRUE(!a.sgt(edge));
504 EXPECT_TRUE( a.sge(edge));
505 EXPECT_TRUE( a.slt(edgeP1));
506 EXPECT_TRUE( a.sle(edgeP1));
507 EXPECT_TRUE(!a.sgt(edgeP1));
508 EXPECT_TRUE(!a.sge(edgeP1));
509 EXPECT_TRUE(!a.slt(edgeM1));
510 EXPECT_TRUE(!a.sle(edgeM1));
511 EXPECT_TRUE( a.sgt(edgeM1));
512 EXPECT_TRUE( a.sge(edgeM1));
515 TEST(APIntTest, compareLargeIntegers) {
516 // Make sure all the combinations of signed comparisons work with big ints.
517 auto One = APInt{128, static_cast<uint64_t>(1), true};
518 auto Two = APInt{128, static_cast<uint64_t>(2), true};
519 auto MinusOne = APInt{128, static_cast<uint64_t>(-1), true};
520 auto MinusTwo = APInt{128, static_cast<uint64_t>(-2), true};
522 EXPECT_TRUE(!One.slt(One));
523 EXPECT_TRUE(!Two.slt(One));
524 EXPECT_TRUE(MinusOne.slt(One));
525 EXPECT_TRUE(MinusTwo.slt(One));
527 EXPECT_TRUE(One.slt(Two));
528 EXPECT_TRUE(!Two.slt(Two));
529 EXPECT_TRUE(MinusOne.slt(Two));
530 EXPECT_TRUE(MinusTwo.slt(Two));
532 EXPECT_TRUE(!One.slt(MinusOne));
533 EXPECT_TRUE(!Two.slt(MinusOne));
534 EXPECT_TRUE(!MinusOne.slt(MinusOne));
535 EXPECT_TRUE(MinusTwo.slt(MinusOne));
537 EXPECT_TRUE(!One.slt(MinusTwo));
538 EXPECT_TRUE(!Two.slt(MinusTwo));
539 EXPECT_TRUE(!MinusOne.slt(MinusTwo));
540 EXPECT_TRUE(!MinusTwo.slt(MinusTwo));
543 TEST(APIntTest, binaryOpsWithRawIntegers) {
544 // Single word check.
545 uint64_t E1 = 0x2CA7F46BF6569915ULL;
548 EXPECT_EQ(A1 & E1, E1);
549 EXPECT_EQ(A1 & 0, 0);
550 EXPECT_EQ(A1 & 1, 1);
551 EXPECT_EQ(A1 & 5, 5);
552 EXPECT_EQ(A1 & UINT64_MAX, E1);
554 EXPECT_EQ(A1 | E1, E1);
555 EXPECT_EQ(A1 | 0, E1);
556 EXPECT_EQ(A1 | 1, E1);
557 EXPECT_EQ(A1 | 2, E1 | 2);
558 EXPECT_EQ(A1 | UINT64_MAX, UINT64_MAX);
560 EXPECT_EQ(A1 ^ E1, 0);
561 EXPECT_EQ(A1 ^ 0, E1);
562 EXPECT_EQ(A1 ^ 1, E1 ^ 1);
563 EXPECT_EQ(A1 ^ 7, E1 ^ 7);
564 EXPECT_EQ(A1 ^ UINT64_MAX, ~E1);
567 uint64_t N = 0xEB6EB136591CBA21ULL;
568 APInt::WordType E2[4] = {
570 0x7B9358BD6A33F10AULL,
571 0x7E7FFA5EADD8846ULL,
572 0x305F341CA00B613DULL
574 APInt A2(APInt::APINT_BITS_PER_WORD*4, E2);
576 EXPECT_EQ(A2 & N, N);
577 EXPECT_EQ(A2 & 0, 0);
578 EXPECT_EQ(A2 & 1, 1);
579 EXPECT_EQ(A2 & 5, 1);
580 EXPECT_EQ(A2 & UINT64_MAX, N);
582 EXPECT_EQ(A2 | N, A2);
583 EXPECT_EQ(A2 | 0, A2);
584 EXPECT_EQ(A2 | 1, A2);
585 EXPECT_EQ(A2 | 2, A2 + 2);
586 EXPECT_EQ(A2 | UINT64_MAX, A2 - N + UINT64_MAX);
588 EXPECT_EQ(A2 ^ N, A2 - N);
589 EXPECT_EQ(A2 ^ 0, A2);
590 EXPECT_EQ(A2 ^ 1, A2 - 1);
591 EXPECT_EQ(A2 ^ 7, A2 + 5);
592 EXPECT_EQ(A2 ^ UINT64_MAX, A2 - N + ~N);
595 TEST(APIntTest, rvalue_arithmetic) {
596 // Test all combinations of lvalue/rvalue lhs/rhs of add/sub
598 // Lamdba to return an APInt by value, but also provide the raw value of the
600 auto getRValue = [](const char *HexString, uint64_t const *&RawData) {
601 APInt V(129, HexString, 16);
602 RawData = V.getRawData();
606 APInt One(129, "1", 16);
607 APInt Two(129, "2", 16);
608 APInt Three(129, "3", 16);
609 APInt MinusOne = -One;
611 const uint64_t *RawDataL = nullptr;
612 const uint64_t *RawDataR = nullptr;
616 APInt AddLL = One + One;
617 EXPECT_EQ(AddLL, Two);
619 APInt AddLR = One + getRValue("1", RawDataR);
620 EXPECT_EQ(AddLR, Two);
621 EXPECT_EQ(AddLR.getRawData(), RawDataR);
623 APInt AddRL = getRValue("1", RawDataL) + One;
624 EXPECT_EQ(AddRL, Two);
625 EXPECT_EQ(AddRL.getRawData(), RawDataL);
627 APInt AddRR = getRValue("1", RawDataL) + getRValue("1", RawDataR);
628 EXPECT_EQ(AddRR, Two);
629 EXPECT_EQ(AddRR.getRawData(), RawDataR);
631 // LValue's and constants
632 APInt AddLK = One + 1;
633 EXPECT_EQ(AddLK, Two);
635 APInt AddKL = 1 + One;
636 EXPECT_EQ(AddKL, Two);
638 // RValue's and constants
639 APInt AddRK = getRValue("1", RawDataL) + 1;
640 EXPECT_EQ(AddRK, Two);
641 EXPECT_EQ(AddRK.getRawData(), RawDataL);
643 APInt AddKR = 1 + getRValue("1", RawDataR);
644 EXPECT_EQ(AddKR, Two);
645 EXPECT_EQ(AddKR.getRawData(), RawDataR);
649 // 0x0,FFFF...FFFF + 0x2 = 0x100...0001
650 APInt AllOnes(129, "0FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF", 16);
651 APInt HighOneLowOne(129, "100000000000000000000000000000001", 16);
653 APInt AddLL = AllOnes + Two;
654 EXPECT_EQ(AddLL, HighOneLowOne);
656 APInt AddLR = AllOnes + getRValue("2", RawDataR);
657 EXPECT_EQ(AddLR, HighOneLowOne);
658 EXPECT_EQ(AddLR.getRawData(), RawDataR);
660 APInt AddRL = getRValue("FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF", RawDataL) + Two;
661 EXPECT_EQ(AddRL, HighOneLowOne);
662 EXPECT_EQ(AddRL.getRawData(), RawDataL);
664 APInt AddRR = getRValue("FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF", RawDataL) +
665 getRValue("2", RawDataR);
666 EXPECT_EQ(AddRR, HighOneLowOne);
667 EXPECT_EQ(AddRR.getRawData(), RawDataR);
669 // LValue's and constants
670 APInt AddLK = AllOnes + 2;
671 EXPECT_EQ(AddLK, HighOneLowOne);
673 APInt AddKL = 2 + AllOnes;
674 EXPECT_EQ(AddKL, HighOneLowOne);
676 // RValue's and constants
677 APInt AddRK = getRValue("FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF", RawDataL) + 2;
678 EXPECT_EQ(AddRK, HighOneLowOne);
679 EXPECT_EQ(AddRK.getRawData(), RawDataL);
681 APInt AddKR = 2 + getRValue("FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF", RawDataR);
682 EXPECT_EQ(AddKR, HighOneLowOne);
683 EXPECT_EQ(AddKR.getRawData(), RawDataR);
688 APInt SubLL = Two - One;
689 EXPECT_EQ(SubLL, One);
691 APInt SubLR = Two - getRValue("1", RawDataR);
692 EXPECT_EQ(SubLR, One);
693 EXPECT_EQ(SubLR.getRawData(), RawDataR);
695 APInt SubRL = getRValue("2", RawDataL) - One;
696 EXPECT_EQ(SubRL, One);
697 EXPECT_EQ(SubRL.getRawData(), RawDataL);
699 APInt SubRR = getRValue("2", RawDataL) - getRValue("1", RawDataR);
700 EXPECT_EQ(SubRR, One);
701 EXPECT_EQ(SubRR.getRawData(), RawDataR);
703 // LValue's and constants
704 APInt SubLK = Two - 1;
705 EXPECT_EQ(SubLK, One);
707 APInt SubKL = 2 - One;
708 EXPECT_EQ(SubKL, One);
710 // RValue's and constants
711 APInt SubRK = getRValue("2", RawDataL) - 1;
712 EXPECT_EQ(SubRK, One);
713 EXPECT_EQ(SubRK.getRawData(), RawDataL);
715 APInt SubKR = 2 - getRValue("1", RawDataR);
716 EXPECT_EQ(SubKR, One);
717 EXPECT_EQ(SubKR.getRawData(), RawDataR);
721 // 0x100...0001 - 0x0,FFFF...FFFF = 0x2
722 APInt AllOnes(129, "0FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF", 16);
723 APInt HighOneLowOne(129, "100000000000000000000000000000001", 16);
725 APInt SubLL = HighOneLowOne - AllOnes;
726 EXPECT_EQ(SubLL, Two);
728 APInt SubLR = HighOneLowOne -
729 getRValue("0FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF", RawDataR);
730 EXPECT_EQ(SubLR, Two);
731 EXPECT_EQ(SubLR.getRawData(), RawDataR);
733 APInt SubRL = getRValue("100000000000000000000000000000001", RawDataL) -
735 EXPECT_EQ(SubRL, Two);
736 EXPECT_EQ(SubRL.getRawData(), RawDataL);
738 APInt SubRR = getRValue("100000000000000000000000000000001", RawDataL) -
739 getRValue("0FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF", RawDataR);
740 EXPECT_EQ(SubRR, Two);
741 EXPECT_EQ(SubRR.getRawData(), RawDataR);
743 // LValue's and constants
744 // 0x100...0001 - 0x2 = 0x0,FFFF...FFFF
745 APInt SubLK = HighOneLowOne - 2;
746 EXPECT_EQ(SubLK, AllOnes);
749 APInt SubKL = 2 - MinusOne;
750 EXPECT_EQ(SubKL, Three);
752 // RValue's and constants
753 // 0x100...0001 - 0x2 = 0x0,FFFF...FFFF
754 APInt SubRK = getRValue("100000000000000000000000000000001", RawDataL) - 2;
755 EXPECT_EQ(SubRK, AllOnes);
756 EXPECT_EQ(SubRK.getRawData(), RawDataL);
758 APInt SubKR = 2 - getRValue("1FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF", RawDataR);
759 EXPECT_EQ(SubKR, Three);
760 EXPECT_EQ(SubKR.getRawData(), RawDataR);
764 TEST(APIntTest, rvalue_bitwise) {
765 // Test all combinations of lvalue/rvalue lhs/rhs of and/or/xor
767 // Lamdba to return an APInt by value, but also provide the raw value of the
769 auto getRValue = [](const char *HexString, uint64_t const *&RawData) {
770 APInt V(129, HexString, 16);
771 RawData = V.getRawData();
775 APInt Ten(129, "A", 16);
776 APInt Twelve(129, "C", 16);
778 const uint64_t *RawDataL = nullptr;
779 const uint64_t *RawDataR = nullptr;
783 APInt AndLL = Ten & Twelve;
784 EXPECT_EQ(AndLL, 0x8);
786 APInt AndLR = Ten & getRValue("C", RawDataR);
787 EXPECT_EQ(AndLR, 0x8);
788 EXPECT_EQ(AndLR.getRawData(), RawDataR);
790 APInt AndRL = getRValue("A", RawDataL) & Twelve;
791 EXPECT_EQ(AndRL, 0x8);
792 EXPECT_EQ(AndRL.getRawData(), RawDataL);
794 APInt AndRR = getRValue("A", RawDataL) & getRValue("C", RawDataR);
795 EXPECT_EQ(AndRR, 0x8);
796 EXPECT_EQ(AndRR.getRawData(), RawDataR);
798 // LValue's and constants
799 APInt AndLK = Ten & 0xc;
800 EXPECT_EQ(AndLK, 0x8);
802 APInt AndKL = 0xa & Twelve;
803 EXPECT_EQ(AndKL, 0x8);
805 // RValue's and constants
806 APInt AndRK = getRValue("A", RawDataL) & 0xc;
807 EXPECT_EQ(AndRK, 0x8);
808 EXPECT_EQ(AndRK.getRawData(), RawDataL);
810 APInt AndKR = 0xa & getRValue("C", RawDataR);
811 EXPECT_EQ(AndKR, 0x8);
812 EXPECT_EQ(AndKR.getRawData(), RawDataR);
817 APInt OrLL = Ten | Twelve;
818 EXPECT_EQ(OrLL, 0xe);
820 APInt OrLR = Ten | getRValue("C", RawDataR);
821 EXPECT_EQ(OrLR, 0xe);
822 EXPECT_EQ(OrLR.getRawData(), RawDataR);
824 APInt OrRL = getRValue("A", RawDataL) | Twelve;
825 EXPECT_EQ(OrRL, 0xe);
826 EXPECT_EQ(OrRL.getRawData(), RawDataL);
828 APInt OrRR = getRValue("A", RawDataL) | getRValue("C", RawDataR);
829 EXPECT_EQ(OrRR, 0xe);
830 EXPECT_EQ(OrRR.getRawData(), RawDataR);
832 // LValue's and constants
833 APInt OrLK = Ten | 0xc;
834 EXPECT_EQ(OrLK, 0xe);
836 APInt OrKL = 0xa | Twelve;
837 EXPECT_EQ(OrKL, 0xe);
839 // RValue's and constants
840 APInt OrRK = getRValue("A", RawDataL) | 0xc;
841 EXPECT_EQ(OrRK, 0xe);
842 EXPECT_EQ(OrRK.getRawData(), RawDataL);
844 APInt OrKR = 0xa | getRValue("C", RawDataR);
845 EXPECT_EQ(OrKR, 0xe);
846 EXPECT_EQ(OrKR.getRawData(), RawDataR);
851 APInt XorLL = Ten ^ Twelve;
852 EXPECT_EQ(XorLL, 0x6);
854 APInt XorLR = Ten ^ getRValue("C", RawDataR);
855 EXPECT_EQ(XorLR, 0x6);
856 EXPECT_EQ(XorLR.getRawData(), RawDataR);
858 APInt XorRL = getRValue("A", RawDataL) ^ Twelve;
859 EXPECT_EQ(XorRL, 0x6);
860 EXPECT_EQ(XorRL.getRawData(), RawDataL);
862 APInt XorRR = getRValue("A", RawDataL) ^ getRValue("C", RawDataR);
863 EXPECT_EQ(XorRR, 0x6);
864 EXPECT_EQ(XorRR.getRawData(), RawDataR);
866 // LValue's and constants
867 APInt XorLK = Ten ^ 0xc;
868 EXPECT_EQ(XorLK, 0x6);
870 APInt XorKL = 0xa ^ Twelve;
871 EXPECT_EQ(XorKL, 0x6);
873 // RValue's and constants
874 APInt XorRK = getRValue("A", RawDataL) ^ 0xc;
875 EXPECT_EQ(XorRK, 0x6);
876 EXPECT_EQ(XorRK.getRawData(), RawDataL);
878 APInt XorKR = 0xa ^ getRValue("C", RawDataR);
879 EXPECT_EQ(XorKR, 0x6);
880 EXPECT_EQ(XorKR.getRawData(), RawDataR);
884 TEST(APIntTest, rvalue_invert) {
885 // Lamdba to return an APInt by value, but also provide the raw value of the
887 auto getRValue = [](const char *HexString, uint64_t const *&RawData) {
888 APInt V(129, HexString, 16);
889 RawData = V.getRawData();
894 APInt NegativeTwo(129, -2ULL, true);
896 const uint64_t *RawData = nullptr;
901 EXPECT_EQ(NegL, NegativeTwo);
903 APInt NegR = ~getRValue("1", RawData);
904 EXPECT_EQ(NegR, NegativeTwo);
905 EXPECT_EQ(NegR.getRawData(), RawData);
909 // Tests different div/rem varaints using scheme (a * b + c) / a
910 void testDiv(APInt a, APInt b, APInt c) {
911 ASSERT_TRUE(a.uge(b)); // Must: a >= b
912 ASSERT_TRUE(a.ugt(c)); // Must: a > c
920 APInt::udivrem(p, a, q, r);
927 APInt::sdivrem(p, a, q, r);
931 if (b.ugt(c)) { // Test also symmetric case
936 APInt::udivrem(p, b, q, r);
943 APInt::sdivrem(p, b, q, r);
949 TEST(APIntTest, divrem_big1) {
950 // Tests KnuthDiv rare step D6
951 testDiv({256, "1ffffffffffffffff", 16},
952 {256, "1ffffffffffffffff", 16},
956 TEST(APIntTest, divrem_big2) {
957 // Tests KnuthDiv rare step D6
958 testDiv({1024, "112233ceff"
959 "cecece000000ffffffffffffffffffff"
960 "ffffffffffffffffffffffffffffffff"
961 "ffffffffffffffffffffffffffffffff"
962 "ffffffffffffffffffffffffffffff33", 16},
963 {1024, "111111ffffffffffffffff"
964 "ffffffffffffffffffffffffffffffff"
965 "fffffffffffffffffffffffffffffccf"
966 "ffffffffffffffffffffffffffffff00", 16},
970 TEST(APIntTest, divrem_big3) {
971 // Tests KnuthDiv case without shift
972 testDiv({256, "80000001ffffffffffffffff", 16},
973 {256, "ffffffffffffff0000000", 16},
977 TEST(APIntTest, divrem_big4) {
978 // Tests heap allocation in divide() enfoced by huge numbers
979 testDiv(APInt{4096, 5}.shl(2001),
980 APInt{4096, 1}.shl(2000),
981 APInt{4096, 4219*13});
984 TEST(APIntTest, divrem_big5) {
985 // Tests one word divisor case of divide()
986 testDiv(APInt{1024, 19}.shl(811),
987 APInt{1024, 4356013}, // one word
991 TEST(APIntTest, divrem_big6) {
992 // Tests some rare "borrow" cases in D4 step
993 testDiv(APInt{512, "ffffffffffffffff00000000000000000000000001", 16},
994 APInt{512, "10000000000000001000000000000001", 16},
995 APInt{512, "10000000000000000000000000000000", 16});
998 TEST(APIntTest, divrem_big7) {
999 // Yet another test for KnuthDiv rare step D6.
1000 testDiv({224, "800000008000000200000005", 16},
1001 {224, "fffffffd", 16},
1002 {224, "80000000800000010000000f", 16});
1005 void testDiv(APInt a, uint64_t b, APInt c) {
1010 // Unsigned division will only work if our original number wasn't negative.
1011 if (!a.isNegative()) {
1016 APInt::udivrem(p, b, q, r);
1024 EXPECT_EQ(-c, -r); // Need to negate so the uint64_t compare will work.
1028 APInt::sdivrem(p, b, q, sr);
1031 EXPECT_EQ(-c, -sr); // Need to negate so the uint64_t compare will work.
1036 TEST(APIntTest, divremuint) {
1037 // Single word APInt
1038 testDiv(APInt{64, 9},
1042 // Single word negative APInt
1043 testDiv(-APInt{64, 9},
1047 // Multiword dividend with only one significant word.
1048 testDiv(APInt{256, 9},
1052 // Negative dividend.
1053 testDiv(-APInt{256, 9},
1057 // Multiword dividend
1058 testDiv(APInt{1024, 19}.shl(811),
1059 4356013, // one word
1063 TEST(APIntTest, fromString) {
1064 EXPECT_EQ(APInt(32, 0), APInt(32, "0", 2));
1065 EXPECT_EQ(APInt(32, 1), APInt(32, "1", 2));
1066 EXPECT_EQ(APInt(32, 2), APInt(32, "10", 2));
1067 EXPECT_EQ(APInt(32, 3), APInt(32, "11", 2));
1068 EXPECT_EQ(APInt(32, 4), APInt(32, "100", 2));
1070 EXPECT_EQ(APInt(32, 0), APInt(32, "+0", 2));
1071 EXPECT_EQ(APInt(32, 1), APInt(32, "+1", 2));
1072 EXPECT_EQ(APInt(32, 2), APInt(32, "+10", 2));
1073 EXPECT_EQ(APInt(32, 3), APInt(32, "+11", 2));
1074 EXPECT_EQ(APInt(32, 4), APInt(32, "+100", 2));
1076 EXPECT_EQ(APInt(32, uint64_t(-0LL)), APInt(32, "-0", 2));
1077 EXPECT_EQ(APInt(32, uint64_t(-1LL)), APInt(32, "-1", 2));
1078 EXPECT_EQ(APInt(32, uint64_t(-2LL)), APInt(32, "-10", 2));
1079 EXPECT_EQ(APInt(32, uint64_t(-3LL)), APInt(32, "-11", 2));
1080 EXPECT_EQ(APInt(32, uint64_t(-4LL)), APInt(32, "-100", 2));
1082 EXPECT_EQ(APInt(32, 0), APInt(32, "0", 8));
1083 EXPECT_EQ(APInt(32, 1), APInt(32, "1", 8));
1084 EXPECT_EQ(APInt(32, 7), APInt(32, "7", 8));
1085 EXPECT_EQ(APInt(32, 8), APInt(32, "10", 8));
1086 EXPECT_EQ(APInt(32, 15), APInt(32, "17", 8));
1087 EXPECT_EQ(APInt(32, 16), APInt(32, "20", 8));
1089 EXPECT_EQ(APInt(32, +0), APInt(32, "+0", 8));
1090 EXPECT_EQ(APInt(32, +1), APInt(32, "+1", 8));
1091 EXPECT_EQ(APInt(32, +7), APInt(32, "+7", 8));
1092 EXPECT_EQ(APInt(32, +8), APInt(32, "+10", 8));
1093 EXPECT_EQ(APInt(32, +15), APInt(32, "+17", 8));
1094 EXPECT_EQ(APInt(32, +16), APInt(32, "+20", 8));
1096 EXPECT_EQ(APInt(32, uint64_t(-0LL)), APInt(32, "-0", 8));
1097 EXPECT_EQ(APInt(32, uint64_t(-1LL)), APInt(32, "-1", 8));
1098 EXPECT_EQ(APInt(32, uint64_t(-7LL)), APInt(32, "-7", 8));
1099 EXPECT_EQ(APInt(32, uint64_t(-8LL)), APInt(32, "-10", 8));
1100 EXPECT_EQ(APInt(32, uint64_t(-15LL)), APInt(32, "-17", 8));
1101 EXPECT_EQ(APInt(32, uint64_t(-16LL)), APInt(32, "-20", 8));
1103 EXPECT_EQ(APInt(32, 0), APInt(32, "0", 10));
1104 EXPECT_EQ(APInt(32, 1), APInt(32, "1", 10));
1105 EXPECT_EQ(APInt(32, 9), APInt(32, "9", 10));
1106 EXPECT_EQ(APInt(32, 10), APInt(32, "10", 10));
1107 EXPECT_EQ(APInt(32, 19), APInt(32, "19", 10));
1108 EXPECT_EQ(APInt(32, 20), APInt(32, "20", 10));
1110 EXPECT_EQ(APInt(32, uint64_t(-0LL)), APInt(32, "-0", 10));
1111 EXPECT_EQ(APInt(32, uint64_t(-1LL)), APInt(32, "-1", 10));
1112 EXPECT_EQ(APInt(32, uint64_t(-9LL)), APInt(32, "-9", 10));
1113 EXPECT_EQ(APInt(32, uint64_t(-10LL)), APInt(32, "-10", 10));
1114 EXPECT_EQ(APInt(32, uint64_t(-19LL)), APInt(32, "-19", 10));
1115 EXPECT_EQ(APInt(32, uint64_t(-20LL)), APInt(32, "-20", 10));
1117 EXPECT_EQ(APInt(32, 0), APInt(32, "0", 16));
1118 EXPECT_EQ(APInt(32, 1), APInt(32, "1", 16));
1119 EXPECT_EQ(APInt(32, 15), APInt(32, "F", 16));
1120 EXPECT_EQ(APInt(32, 16), APInt(32, "10", 16));
1121 EXPECT_EQ(APInt(32, 31), APInt(32, "1F", 16));
1122 EXPECT_EQ(APInt(32, 32), APInt(32, "20", 16));
1124 EXPECT_EQ(APInt(32, uint64_t(-0LL)), APInt(32, "-0", 16));
1125 EXPECT_EQ(APInt(32, uint64_t(-1LL)), APInt(32, "-1", 16));
1126 EXPECT_EQ(APInt(32, uint64_t(-15LL)), APInt(32, "-F", 16));
1127 EXPECT_EQ(APInt(32, uint64_t(-16LL)), APInt(32, "-10", 16));
1128 EXPECT_EQ(APInt(32, uint64_t(-31LL)), APInt(32, "-1F", 16));
1129 EXPECT_EQ(APInt(32, uint64_t(-32LL)), APInt(32, "-20", 16));
1131 EXPECT_EQ(APInt(32, 0), APInt(32, "0", 36));
1132 EXPECT_EQ(APInt(32, 1), APInt(32, "1", 36));
1133 EXPECT_EQ(APInt(32, 35), APInt(32, "Z", 36));
1134 EXPECT_EQ(APInt(32, 36), APInt(32, "10", 36));
1135 EXPECT_EQ(APInt(32, 71), APInt(32, "1Z", 36));
1136 EXPECT_EQ(APInt(32, 72), APInt(32, "20", 36));
1138 EXPECT_EQ(APInt(32, uint64_t(-0LL)), APInt(32, "-0", 36));
1139 EXPECT_EQ(APInt(32, uint64_t(-1LL)), APInt(32, "-1", 36));
1140 EXPECT_EQ(APInt(32, uint64_t(-35LL)), APInt(32, "-Z", 36));
1141 EXPECT_EQ(APInt(32, uint64_t(-36LL)), APInt(32, "-10", 36));
1142 EXPECT_EQ(APInt(32, uint64_t(-71LL)), APInt(32, "-1Z", 36));
1143 EXPECT_EQ(APInt(32, uint64_t(-72LL)), APInt(32, "-20", 36));
1146 TEST(APIntTest, FromArray) {
1147 EXPECT_EQ(APInt(32, uint64_t(1)), APInt(32, ArrayRef<uint64_t>(1)));
1150 TEST(APIntTest, StringBitsNeeded2) {
1151 EXPECT_EQ(1U, APInt::getBitsNeeded( "0", 2));
1152 EXPECT_EQ(1U, APInt::getBitsNeeded( "1", 2));
1153 EXPECT_EQ(2U, APInt::getBitsNeeded( "10", 2));
1154 EXPECT_EQ(2U, APInt::getBitsNeeded( "11", 2));
1155 EXPECT_EQ(3U, APInt::getBitsNeeded("100", 2));
1157 EXPECT_EQ(1U, APInt::getBitsNeeded( "+0", 2));
1158 EXPECT_EQ(1U, APInt::getBitsNeeded( "+1", 2));
1159 EXPECT_EQ(2U, APInt::getBitsNeeded( "+10", 2));
1160 EXPECT_EQ(2U, APInt::getBitsNeeded( "+11", 2));
1161 EXPECT_EQ(3U, APInt::getBitsNeeded("+100", 2));
1163 EXPECT_EQ(2U, APInt::getBitsNeeded( "-0", 2));
1164 EXPECT_EQ(2U, APInt::getBitsNeeded( "-1", 2));
1165 EXPECT_EQ(3U, APInt::getBitsNeeded( "-10", 2));
1166 EXPECT_EQ(3U, APInt::getBitsNeeded( "-11", 2));
1167 EXPECT_EQ(4U, APInt::getBitsNeeded("-100", 2));
1170 TEST(APIntTest, StringBitsNeeded8) {
1171 EXPECT_EQ(3U, APInt::getBitsNeeded( "0", 8));
1172 EXPECT_EQ(3U, APInt::getBitsNeeded( "7", 8));
1173 EXPECT_EQ(6U, APInt::getBitsNeeded("10", 8));
1174 EXPECT_EQ(6U, APInt::getBitsNeeded("17", 8));
1175 EXPECT_EQ(6U, APInt::getBitsNeeded("20", 8));
1177 EXPECT_EQ(3U, APInt::getBitsNeeded( "+0", 8));
1178 EXPECT_EQ(3U, APInt::getBitsNeeded( "+7", 8));
1179 EXPECT_EQ(6U, APInt::getBitsNeeded("+10", 8));
1180 EXPECT_EQ(6U, APInt::getBitsNeeded("+17", 8));
1181 EXPECT_EQ(6U, APInt::getBitsNeeded("+20", 8));
1183 EXPECT_EQ(4U, APInt::getBitsNeeded( "-0", 8));
1184 EXPECT_EQ(4U, APInt::getBitsNeeded( "-7", 8));
1185 EXPECT_EQ(7U, APInt::getBitsNeeded("-10", 8));
1186 EXPECT_EQ(7U, APInt::getBitsNeeded("-17", 8));
1187 EXPECT_EQ(7U, APInt::getBitsNeeded("-20", 8));
1190 TEST(APIntTest, StringBitsNeeded10) {
1191 EXPECT_EQ(1U, APInt::getBitsNeeded( "0", 10));
1192 EXPECT_EQ(2U, APInt::getBitsNeeded( "3", 10));
1193 EXPECT_EQ(4U, APInt::getBitsNeeded( "9", 10));
1194 EXPECT_EQ(4U, APInt::getBitsNeeded("10", 10));
1195 EXPECT_EQ(5U, APInt::getBitsNeeded("19", 10));
1196 EXPECT_EQ(5U, APInt::getBitsNeeded("20", 10));
1198 EXPECT_EQ(1U, APInt::getBitsNeeded( "+0", 10));
1199 EXPECT_EQ(4U, APInt::getBitsNeeded( "+9", 10));
1200 EXPECT_EQ(4U, APInt::getBitsNeeded("+10", 10));
1201 EXPECT_EQ(5U, APInt::getBitsNeeded("+19", 10));
1202 EXPECT_EQ(5U, APInt::getBitsNeeded("+20", 10));
1204 EXPECT_EQ(2U, APInt::getBitsNeeded( "-0", 10));
1205 EXPECT_EQ(5U, APInt::getBitsNeeded( "-9", 10));
1206 EXPECT_EQ(5U, APInt::getBitsNeeded("-10", 10));
1207 EXPECT_EQ(6U, APInt::getBitsNeeded("-19", 10));
1208 EXPECT_EQ(6U, APInt::getBitsNeeded("-20", 10));
1211 TEST(APIntTest, StringBitsNeeded16) {
1212 EXPECT_EQ(4U, APInt::getBitsNeeded( "0", 16));
1213 EXPECT_EQ(4U, APInt::getBitsNeeded( "F", 16));
1214 EXPECT_EQ(8U, APInt::getBitsNeeded("10", 16));
1215 EXPECT_EQ(8U, APInt::getBitsNeeded("1F", 16));
1216 EXPECT_EQ(8U, APInt::getBitsNeeded("20", 16));
1218 EXPECT_EQ(4U, APInt::getBitsNeeded( "+0", 16));
1219 EXPECT_EQ(4U, APInt::getBitsNeeded( "+F", 16));
1220 EXPECT_EQ(8U, APInt::getBitsNeeded("+10", 16));
1221 EXPECT_EQ(8U, APInt::getBitsNeeded("+1F", 16));
1222 EXPECT_EQ(8U, APInt::getBitsNeeded("+20", 16));
1224 EXPECT_EQ(5U, APInt::getBitsNeeded( "-0", 16));
1225 EXPECT_EQ(5U, APInt::getBitsNeeded( "-F", 16));
1226 EXPECT_EQ(9U, APInt::getBitsNeeded("-10", 16));
1227 EXPECT_EQ(9U, APInt::getBitsNeeded("-1F", 16));
1228 EXPECT_EQ(9U, APInt::getBitsNeeded("-20", 16));
1231 TEST(APIntTest, toString) {
1235 APInt(8, 0).toString(S, 2, true, true);
1236 EXPECT_EQ(S.str().str(), "0b0");
1238 APInt(8, 0).toString(S, 8, true, true);
1239 EXPECT_EQ(S.str().str(), "00");
1241 APInt(8, 0).toString(S, 10, true, true);
1242 EXPECT_EQ(S.str().str(), "0");
1244 APInt(8, 0).toString(S, 16, true, true);
1245 EXPECT_EQ(S.str().str(), "0x0");
1247 APInt(8, 0).toString(S, 36, true, false);
1248 EXPECT_EQ(S.str().str(), "0");
1252 APInt(8, 255, isSigned).toString(S, 2, isSigned, true);
1253 EXPECT_EQ(S.str().str(), "0b11111111");
1255 APInt(8, 255, isSigned).toString(S, 8, isSigned, true);
1256 EXPECT_EQ(S.str().str(), "0377");
1258 APInt(8, 255, isSigned).toString(S, 10, isSigned, true);
1259 EXPECT_EQ(S.str().str(), "255");
1261 APInt(8, 255, isSigned).toString(S, 16, isSigned, true);
1262 EXPECT_EQ(S.str().str(), "0xFF");
1264 APInt(8, 255, isSigned).toString(S, 36, isSigned, false);
1265 EXPECT_EQ(S.str().str(), "73");
1269 APInt(8, 255, isSigned).toString(S, 2, isSigned, true);
1270 EXPECT_EQ(S.str().str(), "-0b1");
1272 APInt(8, 255, isSigned).toString(S, 8, isSigned, true);
1273 EXPECT_EQ(S.str().str(), "-01");
1275 APInt(8, 255, isSigned).toString(S, 10, isSigned, true);
1276 EXPECT_EQ(S.str().str(), "-1");
1278 APInt(8, 255, isSigned).toString(S, 16, isSigned, true);
1279 EXPECT_EQ(S.str().str(), "-0x1");
1281 APInt(8, 255, isSigned).toString(S, 36, isSigned, false);
1282 EXPECT_EQ(S.str().str(), "-1");
1286 TEST(APIntTest, Log2) {
1287 EXPECT_EQ(APInt(15, 7).logBase2(), 2U);
1288 EXPECT_EQ(APInt(15, 7).ceilLogBase2(), 3U);
1289 EXPECT_EQ(APInt(15, 7).exactLogBase2(), -1);
1290 EXPECT_EQ(APInt(15, 8).logBase2(), 3U);
1291 EXPECT_EQ(APInt(15, 8).ceilLogBase2(), 3U);
1292 EXPECT_EQ(APInt(15, 8).exactLogBase2(), 3);
1293 EXPECT_EQ(APInt(15, 9).logBase2(), 3U);
1294 EXPECT_EQ(APInt(15, 9).ceilLogBase2(), 4U);
1295 EXPECT_EQ(APInt(15, 9).exactLogBase2(), -1);
1298 TEST(APIntTest, magic) {
1299 EXPECT_EQ(APInt(32, 3).magic().m, APInt(32, "55555556", 16));
1300 EXPECT_EQ(APInt(32, 3).magic().s, 0U);
1301 EXPECT_EQ(APInt(32, 5).magic().m, APInt(32, "66666667", 16));
1302 EXPECT_EQ(APInt(32, 5).magic().s, 1U);
1303 EXPECT_EQ(APInt(32, 7).magic().m, APInt(32, "92492493", 16));
1304 EXPECT_EQ(APInt(32, 7).magic().s, 2U);
1307 TEST(APIntTest, magicu) {
1308 EXPECT_EQ(APInt(32, 3).magicu().m, APInt(32, "AAAAAAAB", 16));
1309 EXPECT_EQ(APInt(32, 3).magicu().s, 1U);
1310 EXPECT_EQ(APInt(32, 5).magicu().m, APInt(32, "CCCCCCCD", 16));
1311 EXPECT_EQ(APInt(32, 5).magicu().s, 2U);
1312 EXPECT_EQ(APInt(32, 7).magicu().m, APInt(32, "24924925", 16));
1313 EXPECT_EQ(APInt(32, 7).magicu().s, 3U);
1314 EXPECT_EQ(APInt(64, 25).magicu(1).m, APInt(64, "A3D70A3D70A3D70B", 16));
1315 EXPECT_EQ(APInt(64, 25).magicu(1).s, 4U);
1318 #ifdef GTEST_HAS_DEATH_TEST
1320 TEST(APIntTest, StringDeath) {
1321 EXPECT_DEATH(APInt(0, "", 0), "Bitwidth too small");
1322 EXPECT_DEATH(APInt(32, "", 0), "Invalid string length");
1323 EXPECT_DEATH(APInt(32, "0", 0), "Radix should be 2, 8, 10, 16, or 36!");
1324 EXPECT_DEATH(APInt(32, "", 10), "Invalid string length");
1325 EXPECT_DEATH(APInt(32, "-", 10), "String is only a sign, needs a value.");
1326 EXPECT_DEATH(APInt(1, "1234", 10), "Insufficient bit width");
1327 EXPECT_DEATH(APInt(32, "\0", 10), "Invalid string length");
1328 EXPECT_DEATH(APInt(32, StringRef("1\02", 3), 10), "Invalid character in digit string");
1329 EXPECT_DEATH(APInt(32, "1L", 10), "Invalid character in digit string");
1334 TEST(APIntTest, mul_clear) {
1335 APInt ValA(65, -1ULL);
1340 EXPECT_EQ(ValA.toString(10, false), ValC.toString(10, false));
1343 TEST(APIntTest, Rotate) {
1344 EXPECT_EQ(APInt(8, 1), APInt(8, 1).rotl(0));
1345 EXPECT_EQ(APInt(8, 2), APInt(8, 1).rotl(1));
1346 EXPECT_EQ(APInt(8, 4), APInt(8, 1).rotl(2));
1347 EXPECT_EQ(APInt(8, 16), APInt(8, 1).rotl(4));
1348 EXPECT_EQ(APInt(8, 1), APInt(8, 1).rotl(8));
1350 EXPECT_EQ(APInt(8, 16), APInt(8, 16).rotl(0));
1351 EXPECT_EQ(APInt(8, 32), APInt(8, 16).rotl(1));
1352 EXPECT_EQ(APInt(8, 64), APInt(8, 16).rotl(2));
1353 EXPECT_EQ(APInt(8, 1), APInt(8, 16).rotl(4));
1354 EXPECT_EQ(APInt(8, 16), APInt(8, 16).rotl(8));
1356 EXPECT_EQ(APInt(32, 2), APInt(32, 1).rotl(33));
1357 EXPECT_EQ(APInt(32, 2), APInt(32, 1).rotl(APInt(32, 33)));
1359 EXPECT_EQ(APInt(32, 2), APInt(32, 1).rotl(33));
1360 EXPECT_EQ(APInt(32, 2), APInt(32, 1).rotl(APInt(32, 33)));
1361 EXPECT_EQ(APInt(32, 2), APInt(32, 1).rotl(APInt(33, 33)));
1362 EXPECT_EQ(APInt(32, (1 << 8)), APInt(32, 1).rotl(APInt(32, 40)));
1363 EXPECT_EQ(APInt(32, (1 << 30)), APInt(32, 1).rotl(APInt(31, 30)));
1364 EXPECT_EQ(APInt(32, (1 << 31)), APInt(32, 1).rotl(APInt(31, 31)));
1366 EXPECT_EQ(APInt(32, 1), APInt(32, 1).rotl(APInt(1, 0)));
1367 EXPECT_EQ(APInt(32, 2), APInt(32, 1).rotl(APInt(1, 1)));
1369 EXPECT_EQ(APInt(32, 16), APInt(32, 1).rotl(APInt(3, 4)));
1371 EXPECT_EQ(APInt(32, 1), APInt(32, 1).rotl(APInt(64, 64)));
1372 EXPECT_EQ(APInt(32, 2), APInt(32, 1).rotl(APInt(64, 65)));
1374 EXPECT_EQ(APInt(7, 24), APInt(7, 3).rotl(APInt(7, 3)));
1375 EXPECT_EQ(APInt(7, 24), APInt(7, 3).rotl(APInt(7, 10)));
1376 EXPECT_EQ(APInt(7, 24), APInt(7, 3).rotl(APInt(5, 10)));
1377 EXPECT_EQ(APInt(7, 6), APInt(7, 3).rotl(APInt(12, 120)));
1379 EXPECT_EQ(APInt(8, 16), APInt(8, 16).rotr(0));
1380 EXPECT_EQ(APInt(8, 8), APInt(8, 16).rotr(1));
1381 EXPECT_EQ(APInt(8, 4), APInt(8, 16).rotr(2));
1382 EXPECT_EQ(APInt(8, 1), APInt(8, 16).rotr(4));
1383 EXPECT_EQ(APInt(8, 16), APInt(8, 16).rotr(8));
1385 EXPECT_EQ(APInt(8, 1), APInt(8, 1).rotr(0));
1386 EXPECT_EQ(APInt(8, 128), APInt(8, 1).rotr(1));
1387 EXPECT_EQ(APInt(8, 64), APInt(8, 1).rotr(2));
1388 EXPECT_EQ(APInt(8, 16), APInt(8, 1).rotr(4));
1389 EXPECT_EQ(APInt(8, 1), APInt(8, 1).rotr(8));
1391 EXPECT_EQ(APInt(32, (1 << 31)), APInt(32, 1).rotr(33));
1392 EXPECT_EQ(APInt(32, (1 << 31)), APInt(32, 1).rotr(APInt(32, 33)));
1394 EXPECT_EQ(APInt(32, (1 << 31)), APInt(32, 1).rotr(33));
1395 EXPECT_EQ(APInt(32, (1 << 31)), APInt(32, 1).rotr(APInt(32, 33)));
1396 EXPECT_EQ(APInt(32, (1 << 31)), APInt(32, 1).rotr(APInt(33, 33)));
1397 EXPECT_EQ(APInt(32, (1 << 24)), APInt(32, 1).rotr(APInt(32, 40)));
1399 EXPECT_EQ(APInt(32, (1 << 2)), APInt(32, 1).rotr(APInt(31, 30)));
1400 EXPECT_EQ(APInt(32, (1 << 1)), APInt(32, 1).rotr(APInt(31, 31)));
1402 EXPECT_EQ(APInt(32, 1), APInt(32, 1).rotr(APInt(1, 0)));
1403 EXPECT_EQ(APInt(32, (1 << 31)), APInt(32, 1).rotr(APInt(1, 1)));
1405 EXPECT_EQ(APInt(32, (1 << 28)), APInt(32, 1).rotr(APInt(3, 4)));
1407 EXPECT_EQ(APInt(32, 1), APInt(32, 1).rotr(APInt(64, 64)));
1408 EXPECT_EQ(APInt(32, (1 << 31)), APInt(32, 1).rotr(APInt(64, 65)));
1410 EXPECT_EQ(APInt(7, 48), APInt(7, 3).rotr(APInt(7, 3)));
1411 EXPECT_EQ(APInt(7, 48), APInt(7, 3).rotr(APInt(7, 10)));
1412 EXPECT_EQ(APInt(7, 48), APInt(7, 3).rotr(APInt(5, 10)));
1413 EXPECT_EQ(APInt(7, 65), APInt(7, 3).rotr(APInt(12, 120)));
1415 APInt Big(256, "00004000800000000000000000003fff8000000000000003", 16);
1416 APInt Rot(256, "3fff80000000000000030000000000000000000040008000", 16);
1417 EXPECT_EQ(Rot, Big.rotr(144));
1419 EXPECT_EQ(APInt(32, 8), APInt(32, 1).rotl(Big));
1420 EXPECT_EQ(APInt(32, (1 << 29)), APInt(32, 1).rotr(Big));
1423 TEST(APIntTest, Splat) {
1424 APInt ValA(8, 0x01);
1425 EXPECT_EQ(ValA, APInt::getSplat(8, ValA));
1426 EXPECT_EQ(APInt(64, 0x0101010101010101ULL), APInt::getSplat(64, ValA));
1429 EXPECT_EQ(APInt(4, 0xD), APInt::getSplat(4, ValB));
1430 EXPECT_EQ(APInt(15, 0xDB6D), APInt::getSplat(15, ValB));
1433 TEST(APIntTest, tcDecrement) {
1434 // Test single word decrement.
1438 APInt::WordType singleWord = ~APInt::WordType(0) << (APInt::APINT_BITS_PER_WORD - 1);
1439 APInt::WordType carry = APInt::tcDecrement(&singleWord, 1);
1440 EXPECT_EQ(carry, APInt::WordType(0));
1441 EXPECT_EQ(singleWord, ~APInt::WordType(0) >> 1);
1446 APInt::WordType singleWord = 0;
1447 APInt::WordType carry = APInt::tcDecrement(&singleWord, 1);
1448 EXPECT_EQ(carry, APInt::WordType(1));
1449 EXPECT_EQ(singleWord, ~APInt::WordType(0));
1452 // Test multiword decrement.
1454 // No across word borrow, no out borrow.
1456 APInt::WordType test[4] = {0x1, 0x1, 0x1, 0x1};
1457 APInt::WordType expected[4] = {0x0, 0x1, 0x1, 0x1};
1458 APInt::tcDecrement(test, 4);
1459 EXPECT_EQ(APInt::tcCompare(test, expected, 4), 0);
1462 // 1 across word borrow, no out borrow.
1464 APInt::WordType test[4] = {0x0, 0xF, 0x1, 0x1};
1465 APInt::WordType expected[4] = {~APInt::WordType(0), 0xE, 0x1, 0x1};
1466 APInt::WordType carry = APInt::tcDecrement(test, 4);
1467 EXPECT_EQ(carry, APInt::WordType(0));
1468 EXPECT_EQ(APInt::tcCompare(test, expected, 4), 0);
1471 // 2 across word borrow, no out borrow.
1473 APInt::WordType test[4] = {0x0, 0x0, 0xC, 0x1};
1474 APInt::WordType expected[4] = {~APInt::WordType(0), ~APInt::WordType(0), 0xB, 0x1};
1475 APInt::WordType carry = APInt::tcDecrement(test, 4);
1476 EXPECT_EQ(carry, APInt::WordType(0));
1477 EXPECT_EQ(APInt::tcCompare(test, expected, 4), 0);
1480 // 3 across word borrow, no out borrow.
1482 APInt::WordType test[4] = {0x0, 0x0, 0x0, 0x1};
1483 APInt::WordType expected[4] = {~APInt::WordType(0), ~APInt::WordType(0), ~APInt::WordType(0), 0x0};
1484 APInt::WordType carry = APInt::tcDecrement(test, 4);
1485 EXPECT_EQ(carry, APInt::WordType(0));
1486 EXPECT_EQ(APInt::tcCompare(test, expected, 4), 0);
1489 // 3 across word borrow, with out borrow.
1491 APInt::WordType test[4] = {0x0, 0x0, 0x0, 0x0};
1492 APInt::WordType expected[4] = {~APInt::WordType(0), ~APInt::WordType(0), ~APInt::WordType(0), ~APInt::WordType(0)};
1493 APInt::WordType carry = APInt::tcDecrement(test, 4);
1494 EXPECT_EQ(carry, APInt::WordType(1));
1495 EXPECT_EQ(APInt::tcCompare(test, expected, 4), 0);
1499 TEST(APIntTest, arrayAccess) {
1500 // Single word check.
1501 uint64_t E1 = 0x2CA7F46BF6569915ULL;
1503 for (unsigned i = 0, e = 64; i < e; ++i) {
1504 EXPECT_EQ(bool(E1 & (1ULL << i)),
1509 APInt::WordType E2[4] = {
1510 0xEB6EB136591CBA21ULL,
1511 0x7B9358BD6A33F10AULL,
1512 0x7E7FFA5EADD8846ULL,
1513 0x305F341CA00B613DULL
1515 APInt A2(APInt::APINT_BITS_PER_WORD*4, E2);
1516 for (unsigned i = 0; i < 4; ++i) {
1517 for (unsigned j = 0; j < APInt::APINT_BITS_PER_WORD; ++j) {
1518 EXPECT_EQ(bool(E2[i] & (1ULL << j)),
1519 A2[i*APInt::APINT_BITS_PER_WORD + j]);
1524 TEST(APIntTest, LargeAPIntConstruction) {
1525 // Check that we can properly construct very large APInt. It is very
1526 // unlikely that people will ever do this, but it is a legal input,
1527 // so we should not crash on it.
1528 APInt A9(UINT32_MAX, 0);
1529 EXPECT_FALSE(A9.getBoolValue());
1532 TEST(APIntTest, nearestLogBase2) {
1533 // Single word check.
1536 uint64_t I1 = 0x1800001;
1538 EXPECT_EQ(A1.nearestLogBase2(), A1.ceilLogBase2());
1541 uint64_t I2 = 0x1000011;
1543 EXPECT_EQ(A2.nearestLogBase2(), A2.logBase2());
1545 // Test ties round up.
1546 uint64_t I3 = 0x1800000;
1548 EXPECT_EQ(A3.nearestLogBase2(), A3.ceilLogBase2());
1550 // Multiple word check.
1553 APInt::WordType I4[4] = {0x0, 0xF, 0x18, 0x0};
1554 APInt A4(APInt::APINT_BITS_PER_WORD*4, I4);
1555 EXPECT_EQ(A4.nearestLogBase2(), A4.ceilLogBase2());
1558 APInt::WordType I5[4] = {0x0, 0xF, 0x10, 0x0};
1559 APInt A5(APInt::APINT_BITS_PER_WORD*4, I5);
1560 EXPECT_EQ(A5.nearestLogBase2(), A5.logBase2());
1562 // Test ties round up.
1563 uint64_t I6[4] = {0x0, 0x0, 0x0, 0x18};
1564 APInt A6(APInt::APINT_BITS_PER_WORD*4, I6);
1565 EXPECT_EQ(A6.nearestLogBase2(), A6.ceilLogBase2());
1567 // Test BitWidth == 1 special cases.
1569 EXPECT_EQ(A7.nearestLogBase2(), 0ULL);
1571 EXPECT_EQ(A8.nearestLogBase2(), UINT32_MAX);
1573 // Test the zero case when we have a bit width large enough such
1574 // that the bit width is larger than UINT32_MAX-1.
1575 APInt A9(UINT32_MAX, 0);
1576 EXPECT_EQ(A9.nearestLogBase2(), UINT32_MAX);
1579 TEST(APIntTest, IsSplat) {
1580 APInt A(32, 0x01010101);
1581 EXPECT_FALSE(A.isSplat(1));
1582 EXPECT_FALSE(A.isSplat(2));
1583 EXPECT_FALSE(A.isSplat(4));
1584 EXPECT_TRUE(A.isSplat(8));
1585 EXPECT_TRUE(A.isSplat(16));
1586 EXPECT_TRUE(A.isSplat(32));
1588 APInt B(24, 0xAAAAAA);
1589 EXPECT_FALSE(B.isSplat(1));
1590 EXPECT_TRUE(B.isSplat(2));
1591 EXPECT_TRUE(B.isSplat(4));
1592 EXPECT_TRUE(B.isSplat(8));
1593 EXPECT_TRUE(B.isSplat(24));
1595 APInt C(24, 0xABAAAB);
1596 EXPECT_FALSE(C.isSplat(1));
1597 EXPECT_FALSE(C.isSplat(2));
1598 EXPECT_FALSE(C.isSplat(4));
1599 EXPECT_FALSE(C.isSplat(8));
1600 EXPECT_TRUE(C.isSplat(24));
1602 APInt D(32, 0xABBAABBA);
1603 EXPECT_FALSE(D.isSplat(1));
1604 EXPECT_FALSE(D.isSplat(2));
1605 EXPECT_FALSE(D.isSplat(4));
1606 EXPECT_FALSE(D.isSplat(8));
1607 EXPECT_TRUE(D.isSplat(16));
1608 EXPECT_TRUE(D.isSplat(32));
1611 EXPECT_TRUE(E.isSplat(1));
1612 EXPECT_TRUE(E.isSplat(2));
1613 EXPECT_TRUE(E.isSplat(4));
1614 EXPECT_TRUE(E.isSplat(8));
1615 EXPECT_TRUE(E.isSplat(16));
1616 EXPECT_TRUE(E.isSplat(32));
1619 TEST(APIntTest, isMask) {
1620 EXPECT_FALSE(APInt(32, 0x01010101).isMask());
1621 EXPECT_FALSE(APInt(32, 0xf0000000).isMask());
1622 EXPECT_FALSE(APInt(32, 0xffff0000).isMask());
1623 EXPECT_FALSE(APInt(32, 0xff << 1).isMask());
1625 for (int N : { 1, 2, 3, 4, 7, 8, 16, 32, 64, 127, 128, 129, 256 }) {
1626 EXPECT_FALSE(APInt(N, 0).isMask());
1629 for (int I = 1; I <= N; ++I) {
1630 APInt MaskVal = One.shl(I) - 1;
1631 EXPECT_TRUE(MaskVal.isMask());
1632 EXPECT_TRUE(MaskVal.isMask(I));
1637 TEST(APIntTest, isShiftedMask) {
1638 EXPECT_FALSE(APInt(32, 0x01010101).isShiftedMask());
1639 EXPECT_TRUE(APInt(32, 0xf0000000).isShiftedMask());
1640 EXPECT_TRUE(APInt(32, 0xffff0000).isShiftedMask());
1641 EXPECT_TRUE(APInt(32, 0xff << 1).isShiftedMask());
1643 for (int N : { 1, 2, 3, 4, 7, 8, 16, 32, 64, 127, 128, 129, 256 }) {
1644 EXPECT_FALSE(APInt(N, 0).isShiftedMask());
1647 for (int I = 1; I < N; ++I) {
1648 APInt MaskVal = One.shl(I) - 1;
1649 EXPECT_TRUE(MaskVal.isShiftedMask());
1651 for (int I = 1; I < N - 1; ++I) {
1652 APInt MaskVal = One.shl(I);
1653 EXPECT_TRUE(MaskVal.isShiftedMask());
1655 for (int I = 1; I < N; ++I) {
1656 APInt MaskVal = APInt::getHighBitsSet(N, I);
1657 EXPECT_TRUE(MaskVal.isShiftedMask());
1662 TEST(APIntTest, reverseBits) {
1663 EXPECT_EQ(1, APInt(1, 1).reverseBits());
1664 EXPECT_EQ(0, APInt(1, 0).reverseBits());
1666 EXPECT_EQ(3, APInt(2, 3).reverseBits());
1667 EXPECT_EQ(3, APInt(2, 3).reverseBits());
1669 EXPECT_EQ(0xb, APInt(4, 0xd).reverseBits());
1670 EXPECT_EQ(0xd, APInt(4, 0xb).reverseBits());
1671 EXPECT_EQ(0xf, APInt(4, 0xf).reverseBits());
1673 EXPECT_EQ(0x30, APInt(7, 0x6).reverseBits());
1674 EXPECT_EQ(0x5a, APInt(7, 0x2d).reverseBits());
1676 EXPECT_EQ(0x0f, APInt(8, 0xf0).reverseBits());
1677 EXPECT_EQ(0xf0, APInt(8, 0x0f).reverseBits());
1679 EXPECT_EQ(0x0f0f, APInt(16, 0xf0f0).reverseBits());
1680 EXPECT_EQ(0xf0f0, APInt(16, 0x0f0f).reverseBits());
1682 EXPECT_EQ(0x0f0f0f0f, APInt(32, 0xf0f0f0f0).reverseBits());
1683 EXPECT_EQ(0xf0f0f0f0, APInt(32, 0x0f0f0f0f).reverseBits());
1685 EXPECT_EQ(0x402880a0 >> 1, APInt(31, 0x05011402).reverseBits());
1687 EXPECT_EQ(0x0f0f0f0f, APInt(32, 0xf0f0f0f0).reverseBits());
1688 EXPECT_EQ(0xf0f0f0f0, APInt(32, 0x0f0f0f0f).reverseBits());
1690 EXPECT_EQ(0x0f0f0f0f0f0f0f0f, APInt(64, 0xf0f0f0f0f0f0f0f0).reverseBits());
1691 EXPECT_EQ(0xf0f0f0f0f0f0f0f0, APInt(64, 0x0f0f0f0f0f0f0f0f).reverseBits());
1693 for (unsigned N : { 1, 8, 16, 24, 31, 32, 33,
1694 63, 64, 65, 127, 128, 257, 1024 }) {
1695 for (unsigned I = 0; I < N; ++I) {
1696 APInt X = APInt::getOneBitSet(N, I);
1697 APInt Y = APInt::getOneBitSet(N, N - (I + 1));
1698 EXPECT_EQ(Y, X.reverseBits());
1699 EXPECT_EQ(X, Y.reverseBits());
1704 TEST(APIntTest, insertBits) {
1705 APInt iSrc(31, 0x00123456);
1708 APInt i31(31, 0x76543210ull);
1709 i31.insertBits(iSrc, 0);
1710 EXPECT_EQ(static_cast<int64_t>(0x00123456ull), i31.getSExtValue());
1712 // Single word src/dst insertion.
1713 APInt i63(63, 0x01234567FFFFFFFFull);
1714 i63.insertBits(iSrc, 4);
1715 EXPECT_EQ(static_cast<int64_t>(0x012345600123456Full), i63.getSExtValue());
1717 // Insert single word src into one word of dst.
1718 APInt i120(120, UINT64_MAX, true);
1719 i120.insertBits(iSrc, 8);
1720 EXPECT_EQ(static_cast<int64_t>(0xFFFFFF80123456FFull), i120.getSExtValue());
1722 // Insert single word src into two words of dst.
1723 APInt i127(127, UINT64_MAX, true);
1724 i127.insertBits(iSrc, 48);
1725 EXPECT_EQ(i127.extractBits(64, 0).getZExtValue(), 0x3456FFFFFFFFFFFFull);
1726 EXPECT_EQ(i127.extractBits(63, 64).getZExtValue(), 0x7FFFFFFFFFFF8012ull);
1728 // Insert on word boundaries.
1730 i128.insertBits(APInt(64, UINT64_MAX, true), 0);
1731 i128.insertBits(APInt(64, UINT64_MAX, true), 64);
1732 EXPECT_EQ(-1, i128.getSExtValue());
1734 APInt i256(256, UINT64_MAX, true);
1735 i256.insertBits(APInt(65, 0), 0);
1736 i256.insertBits(APInt(69, 0), 64);
1737 i256.insertBits(APInt(128, 0), 128);
1738 EXPECT_EQ(0u, i256.getSExtValue());
1741 i257.insertBits(APInt(96, UINT64_MAX, true), 64);
1742 EXPECT_EQ(i257.extractBits(64, 0).getZExtValue(), 0x0000000000000000ull);
1743 EXPECT_EQ(i257.extractBits(64, 64).getZExtValue(), 0xFFFFFFFFFFFFFFFFull);
1744 EXPECT_EQ(i257.extractBits(64, 128).getZExtValue(), 0x00000000FFFFFFFFull);
1745 EXPECT_EQ(i257.extractBits(65, 192).getZExtValue(), 0x0000000000000000ull);
1747 // General insertion.
1748 APInt i260(260, UINT64_MAX, true);
1749 i260.insertBits(APInt(129, 1ull << 48), 15);
1750 EXPECT_EQ(i260.extractBits(64, 0).getZExtValue(), 0x8000000000007FFFull);
1751 EXPECT_EQ(i260.extractBits(64, 64).getZExtValue(), 0x0000000000000000ull);
1752 EXPECT_EQ(i260.extractBits(64, 128).getZExtValue(), 0xFFFFFFFFFFFF0000ull);
1753 EXPECT_EQ(i260.extractBits(64, 192).getZExtValue(), 0xFFFFFFFFFFFFFFFFull);
1754 EXPECT_EQ(i260.extractBits(4, 256).getZExtValue(), 0x000000000000000Full);
1757 TEST(APIntTest, extractBits) {
1758 APInt i32(32, 0x1234567);
1759 EXPECT_EQ(0x3456, i32.extractBits(16, 4));
1761 APInt i257(257, 0xFFFFFFFFFF0000FFull, true);
1762 EXPECT_EQ(0xFFu, i257.extractBits(16, 0));
1763 EXPECT_EQ((0xFFu >> 1), i257.extractBits(16, 1));
1764 EXPECT_EQ(-1, i257.extractBits(32, 64).getSExtValue());
1765 EXPECT_EQ(-1, i257.extractBits(128, 128).getSExtValue());
1766 EXPECT_EQ(-1, i257.extractBits(66, 191).getSExtValue());
1767 EXPECT_EQ(static_cast<int64_t>(0xFFFFFFFFFF80007Full),
1768 i257.extractBits(128, 1).getSExtValue());
1769 EXPECT_EQ(static_cast<int64_t>(0xFFFFFFFFFF80007Full),
1770 i257.extractBits(129, 1).getSExtValue());
1772 EXPECT_EQ(APInt(48, 0),
1773 APInt(144, "281474976710655", 10).extractBits(48, 48));
1774 EXPECT_EQ(APInt(48, 0x0000ffffffffffffull),
1775 APInt(144, "281474976710655", 10).extractBits(48, 0));
1776 EXPECT_EQ(APInt(48, 0x00007fffffffffffull),
1777 APInt(144, "281474976710655", 10).extractBits(48, 1));
1780 TEST(APIntTest, getLowBitsSet) {
1781 APInt i128lo64 = APInt::getLowBitsSet(128, 64);
1782 EXPECT_EQ(0u, i128lo64.countLeadingOnes());
1783 EXPECT_EQ(64u, i128lo64.countLeadingZeros());
1784 EXPECT_EQ(64u, i128lo64.getActiveBits());
1785 EXPECT_EQ(0u, i128lo64.countTrailingZeros());
1786 EXPECT_EQ(64u, i128lo64.countTrailingOnes());
1787 EXPECT_EQ(64u, i128lo64.countPopulation());
1790 TEST(APIntTest, getBitsSet) {
1791 APInt i64hi1lo1 = APInt::getBitsSet(64, 1, 63);
1792 EXPECT_EQ(0u, i64hi1lo1.countLeadingOnes());
1793 EXPECT_EQ(1u, i64hi1lo1.countLeadingZeros());
1794 EXPECT_EQ(63u, i64hi1lo1.getActiveBits());
1795 EXPECT_EQ(1u, i64hi1lo1.countTrailingZeros());
1796 EXPECT_EQ(0u, i64hi1lo1.countTrailingOnes());
1797 EXPECT_EQ(62u, i64hi1lo1.countPopulation());
1799 APInt i127hi1lo1 = APInt::getBitsSet(127, 1, 126);
1800 EXPECT_EQ(0u, i127hi1lo1.countLeadingOnes());
1801 EXPECT_EQ(1u, i127hi1lo1.countLeadingZeros());
1802 EXPECT_EQ(126u, i127hi1lo1.getActiveBits());
1803 EXPECT_EQ(1u, i127hi1lo1.countTrailingZeros());
1804 EXPECT_EQ(0u, i127hi1lo1.countTrailingOnes());
1805 EXPECT_EQ(125u, i127hi1lo1.countPopulation());
1808 TEST(APIntTest, getHighBitsSet) {
1809 APInt i64hi32 = APInt::getHighBitsSet(64, 32);
1810 EXPECT_EQ(32u, i64hi32.countLeadingOnes());
1811 EXPECT_EQ(0u, i64hi32.countLeadingZeros());
1812 EXPECT_EQ(64u, i64hi32.getActiveBits());
1813 EXPECT_EQ(32u, i64hi32.countTrailingZeros());
1814 EXPECT_EQ(0u, i64hi32.countTrailingOnes());
1815 EXPECT_EQ(32u, i64hi32.countPopulation());
1818 TEST(APIntTest, getBitsSetFrom) {
1819 APInt i64hi31 = APInt::getBitsSetFrom(64, 33);
1820 EXPECT_EQ(31u, i64hi31.countLeadingOnes());
1821 EXPECT_EQ(0u, i64hi31.countLeadingZeros());
1822 EXPECT_EQ(64u, i64hi31.getActiveBits());
1823 EXPECT_EQ(33u, i64hi31.countTrailingZeros());
1824 EXPECT_EQ(0u, i64hi31.countTrailingOnes());
1825 EXPECT_EQ(31u, i64hi31.countPopulation());
1828 TEST(APIntTest, setLowBits) {
1829 APInt i64lo32(64, 0);
1830 i64lo32.setLowBits(32);
1831 EXPECT_EQ(0u, i64lo32.countLeadingOnes());
1832 EXPECT_EQ(32u, i64lo32.countLeadingZeros());
1833 EXPECT_EQ(32u, i64lo32.getActiveBits());
1834 EXPECT_EQ(0u, i64lo32.countTrailingZeros());
1835 EXPECT_EQ(32u, i64lo32.countTrailingOnes());
1836 EXPECT_EQ(32u, i64lo32.countPopulation());
1838 APInt i128lo64(128, 0);
1839 i128lo64.setLowBits(64);
1840 EXPECT_EQ(0u, i128lo64.countLeadingOnes());
1841 EXPECT_EQ(64u, i128lo64.countLeadingZeros());
1842 EXPECT_EQ(64u, i128lo64.getActiveBits());
1843 EXPECT_EQ(0u, i128lo64.countTrailingZeros());
1844 EXPECT_EQ(64u, i128lo64.countTrailingOnes());
1845 EXPECT_EQ(64u, i128lo64.countPopulation());
1847 APInt i128lo24(128, 0);
1848 i128lo24.setLowBits(24);
1849 EXPECT_EQ(0u, i128lo24.countLeadingOnes());
1850 EXPECT_EQ(104u, i128lo24.countLeadingZeros());
1851 EXPECT_EQ(24u, i128lo24.getActiveBits());
1852 EXPECT_EQ(0u, i128lo24.countTrailingZeros());
1853 EXPECT_EQ(24u, i128lo24.countTrailingOnes());
1854 EXPECT_EQ(24u, i128lo24.countPopulation());
1856 APInt i128lo104(128, 0);
1857 i128lo104.setLowBits(104);
1858 EXPECT_EQ(0u, i128lo104.countLeadingOnes());
1859 EXPECT_EQ(24u, i128lo104.countLeadingZeros());
1860 EXPECT_EQ(104u, i128lo104.getActiveBits());
1861 EXPECT_EQ(0u, i128lo104.countTrailingZeros());
1862 EXPECT_EQ(104u, i128lo104.countTrailingOnes());
1863 EXPECT_EQ(104u, i128lo104.countPopulation());
1865 APInt i128lo0(128, 0);
1866 i128lo0.setLowBits(0);
1867 EXPECT_EQ(0u, i128lo0.countLeadingOnes());
1868 EXPECT_EQ(128u, i128lo0.countLeadingZeros());
1869 EXPECT_EQ(0u, i128lo0.getActiveBits());
1870 EXPECT_EQ(128u, i128lo0.countTrailingZeros());
1871 EXPECT_EQ(0u, i128lo0.countTrailingOnes());
1872 EXPECT_EQ(0u, i128lo0.countPopulation());
1874 APInt i80lo79(80, 0);
1875 i80lo79.setLowBits(79);
1876 EXPECT_EQ(0u, i80lo79.countLeadingOnes());
1877 EXPECT_EQ(1u, i80lo79.countLeadingZeros());
1878 EXPECT_EQ(79u, i80lo79.getActiveBits());
1879 EXPECT_EQ(0u, i80lo79.countTrailingZeros());
1880 EXPECT_EQ(79u, i80lo79.countTrailingOnes());
1881 EXPECT_EQ(79u, i80lo79.countPopulation());
1884 TEST(APIntTest, setHighBits) {
1885 APInt i64hi32(64, 0);
1886 i64hi32.setHighBits(32);
1887 EXPECT_EQ(32u, i64hi32.countLeadingOnes());
1888 EXPECT_EQ(0u, i64hi32.countLeadingZeros());
1889 EXPECT_EQ(64u, i64hi32.getActiveBits());
1890 EXPECT_EQ(32u, i64hi32.countTrailingZeros());
1891 EXPECT_EQ(0u, i64hi32.countTrailingOnes());
1892 EXPECT_EQ(32u, i64hi32.countPopulation());
1894 APInt i128hi64(128, 0);
1895 i128hi64.setHighBits(64);
1896 EXPECT_EQ(64u, i128hi64.countLeadingOnes());
1897 EXPECT_EQ(0u, i128hi64.countLeadingZeros());
1898 EXPECT_EQ(128u, i128hi64.getActiveBits());
1899 EXPECT_EQ(64u, i128hi64.countTrailingZeros());
1900 EXPECT_EQ(0u, i128hi64.countTrailingOnes());
1901 EXPECT_EQ(64u, i128hi64.countPopulation());
1903 APInt i128hi24(128, 0);
1904 i128hi24.setHighBits(24);
1905 EXPECT_EQ(24u, i128hi24.countLeadingOnes());
1906 EXPECT_EQ(0u, i128hi24.countLeadingZeros());
1907 EXPECT_EQ(128u, i128hi24.getActiveBits());
1908 EXPECT_EQ(104u, i128hi24.countTrailingZeros());
1909 EXPECT_EQ(0u, i128hi24.countTrailingOnes());
1910 EXPECT_EQ(24u, i128hi24.countPopulation());
1912 APInt i128hi104(128, 0);
1913 i128hi104.setHighBits(104);
1914 EXPECT_EQ(104u, i128hi104.countLeadingOnes());
1915 EXPECT_EQ(0u, i128hi104.countLeadingZeros());
1916 EXPECT_EQ(128u, i128hi104.getActiveBits());
1917 EXPECT_EQ(24u, i128hi104.countTrailingZeros());
1918 EXPECT_EQ(0u, i128hi104.countTrailingOnes());
1919 EXPECT_EQ(104u, i128hi104.countPopulation());
1921 APInt i128hi0(128, 0);
1922 i128hi0.setHighBits(0);
1923 EXPECT_EQ(0u, i128hi0.countLeadingOnes());
1924 EXPECT_EQ(128u, i128hi0.countLeadingZeros());
1925 EXPECT_EQ(0u, i128hi0.getActiveBits());
1926 EXPECT_EQ(128u, i128hi0.countTrailingZeros());
1927 EXPECT_EQ(0u, i128hi0.countTrailingOnes());
1928 EXPECT_EQ(0u, i128hi0.countPopulation());
1930 APInt i80hi1(80, 0);
1931 i80hi1.setHighBits(1);
1932 EXPECT_EQ(1u, i80hi1.countLeadingOnes());
1933 EXPECT_EQ(0u, i80hi1.countLeadingZeros());
1934 EXPECT_EQ(80u, i80hi1.getActiveBits());
1935 EXPECT_EQ(79u, i80hi1.countTrailingZeros());
1936 EXPECT_EQ(0u, i80hi1.countTrailingOnes());
1937 EXPECT_EQ(1u, i80hi1.countPopulation());
1939 APInt i32hi16(32, 0);
1940 i32hi16.setHighBits(16);
1941 EXPECT_EQ(16u, i32hi16.countLeadingOnes());
1942 EXPECT_EQ(0u, i32hi16.countLeadingZeros());
1943 EXPECT_EQ(32u, i32hi16.getActiveBits());
1944 EXPECT_EQ(16u, i32hi16.countTrailingZeros());
1945 EXPECT_EQ(0u, i32hi16.countTrailingOnes());
1946 EXPECT_EQ(16u, i32hi16.countPopulation());
1949 TEST(APIntTest, setBitsFrom) {
1950 APInt i64from63(64, 0);
1951 i64from63.setBitsFrom(63);
1952 EXPECT_EQ(1u, i64from63.countLeadingOnes());
1953 EXPECT_EQ(0u, i64from63.countLeadingZeros());
1954 EXPECT_EQ(64u, i64from63.getActiveBits());
1955 EXPECT_EQ(63u, i64from63.countTrailingZeros());
1956 EXPECT_EQ(0u, i64from63.countTrailingOnes());
1957 EXPECT_EQ(1u, i64from63.countPopulation());
1960 TEST(APIntTest, setAllBits) {
1963 EXPECT_EQ(32u, i32.countLeadingOnes());
1964 EXPECT_EQ(0u, i32.countLeadingZeros());
1965 EXPECT_EQ(32u, i32.getActiveBits());
1966 EXPECT_EQ(0u, i32.countTrailingZeros());
1967 EXPECT_EQ(32u, i32.countTrailingOnes());
1968 EXPECT_EQ(32u, i32.countPopulation());
1972 EXPECT_EQ(64u, i64.countLeadingOnes());
1973 EXPECT_EQ(0u, i64.countLeadingZeros());
1974 EXPECT_EQ(64u, i64.getActiveBits());
1975 EXPECT_EQ(0u, i64.countTrailingZeros());
1976 EXPECT_EQ(64u, i64.countTrailingOnes());
1977 EXPECT_EQ(64u, i64.countPopulation());
1981 EXPECT_EQ(96u, i96.countLeadingOnes());
1982 EXPECT_EQ(0u, i96.countLeadingZeros());
1983 EXPECT_EQ(96u, i96.getActiveBits());
1984 EXPECT_EQ(0u, i96.countTrailingZeros());
1985 EXPECT_EQ(96u, i96.countTrailingOnes());
1986 EXPECT_EQ(96u, i96.countPopulation());
1990 EXPECT_EQ(128u, i128.countLeadingOnes());
1991 EXPECT_EQ(0u, i128.countLeadingZeros());
1992 EXPECT_EQ(128u, i128.getActiveBits());
1993 EXPECT_EQ(0u, i128.countTrailingZeros());
1994 EXPECT_EQ(128u, i128.countTrailingOnes());
1995 EXPECT_EQ(128u, i128.countPopulation());
1998 TEST(APIntTest, getLoBits) {
1999 APInt i32(32, 0xfa);
2001 EXPECT_EQ(0xa, i32.getLoBits(4));
2002 APInt i128(128, 0xfa);
2003 i128.setHighBits(1);
2004 EXPECT_EQ(0xa, i128.getLoBits(4));
2007 TEST(APIntTest, getHiBits) {
2008 APInt i32(32, 0xfa);
2010 EXPECT_EQ(0xc, i32.getHiBits(4));
2011 APInt i128(128, 0xfa);
2012 i128.setHighBits(2);
2013 EXPECT_EQ(0xc, i128.getHiBits(4));
2016 TEST(APIntTest, GCD) {
2017 using APIntOps::GreatestCommonDivisor;
2019 for (unsigned Bits : {1, 2, 32, 63, 64, 65}) {
2020 // Test some corner cases near zero.
2021 APInt Zero(Bits, 0), One(Bits, 1);
2022 EXPECT_EQ(GreatestCommonDivisor(Zero, Zero), Zero);
2023 EXPECT_EQ(GreatestCommonDivisor(Zero, One), One);
2024 EXPECT_EQ(GreatestCommonDivisor(One, Zero), One);
2025 EXPECT_EQ(GreatestCommonDivisor(One, One), One);
2029 EXPECT_EQ(GreatestCommonDivisor(Zero, Two), Two);
2030 EXPECT_EQ(GreatestCommonDivisor(One, Two), One);
2031 EXPECT_EQ(GreatestCommonDivisor(Two, Two), Two);
2033 // Test some corner cases near the highest representable value.
2036 EXPECT_EQ(GreatestCommonDivisor(Zero, Max), Max);
2037 EXPECT_EQ(GreatestCommonDivisor(One, Max), One);
2038 EXPECT_EQ(GreatestCommonDivisor(Two, Max), One);
2039 EXPECT_EQ(GreatestCommonDivisor(Max, Max), Max);
2041 APInt MaxOver2 = Max.udiv(Two);
2042 EXPECT_EQ(GreatestCommonDivisor(MaxOver2, Max), One);
2043 // Max - 1 == Max / 2 * 2, because Max is odd.
2044 EXPECT_EQ(GreatestCommonDivisor(MaxOver2, Max - 1), MaxOver2);
2048 // Compute the 20th Mersenne prime.
2049 const unsigned BitWidth = 4450;
2050 APInt HugePrime = APInt::getLowBitsSet(BitWidth, 4423);
2052 // 9931 and 123456 are coprime.
2053 APInt A = HugePrime * APInt(BitWidth, 9931);
2054 APInt B = HugePrime * APInt(BitWidth, 123456);
2055 APInt C = GreatestCommonDivisor(A, B);
2056 EXPECT_EQ(C, HugePrime);
2059 TEST(APIntTest, LogicalRightShift) {
2060 APInt i256(APInt::getHighBitsSet(256, 2));
2062 i256.lshrInPlace(1);
2063 EXPECT_EQ(1U, i256.countLeadingZeros());
2064 EXPECT_EQ(253U, i256.countTrailingZeros());
2065 EXPECT_EQ(2U, i256.countPopulation());
2067 i256.lshrInPlace(62);
2068 EXPECT_EQ(63U, i256.countLeadingZeros());
2069 EXPECT_EQ(191U, i256.countTrailingZeros());
2070 EXPECT_EQ(2U, i256.countPopulation());
2072 i256.lshrInPlace(65);
2073 EXPECT_EQ(128U, i256.countLeadingZeros());
2074 EXPECT_EQ(126U, i256.countTrailingZeros());
2075 EXPECT_EQ(2U, i256.countPopulation());
2077 i256.lshrInPlace(64);
2078 EXPECT_EQ(192U, i256.countLeadingZeros());
2079 EXPECT_EQ(62U, i256.countTrailingZeros());
2080 EXPECT_EQ(2U, i256.countPopulation());
2082 i256.lshrInPlace(63);
2083 EXPECT_EQ(255U, i256.countLeadingZeros());
2084 EXPECT_EQ(0U, i256.countTrailingZeros());
2085 EXPECT_EQ(1U, i256.countPopulation());
2087 // Ensure we handle large shifts of multi-word.
2088 const APInt neg_one(128, static_cast<uint64_t>(-1), true);
2089 EXPECT_EQ(0, neg_one.lshr(128));
2092 TEST(APIntTest, ArithmeticRightShift) {
2093 APInt i72(APInt::getHighBitsSet(72, 1));
2094 i72.ashrInPlace(46);
2095 EXPECT_EQ(47U, i72.countLeadingOnes());
2096 EXPECT_EQ(25U, i72.countTrailingZeros());
2097 EXPECT_EQ(47U, i72.countPopulation());
2099 i72 = APInt::getHighBitsSet(72, 1);
2100 i72.ashrInPlace(64);
2101 EXPECT_EQ(65U, i72.countLeadingOnes());
2102 EXPECT_EQ(7U, i72.countTrailingZeros());
2103 EXPECT_EQ(65U, i72.countPopulation());
2105 APInt i128(APInt::getHighBitsSet(128, 1));
2106 i128.ashrInPlace(64);
2107 EXPECT_EQ(65U, i128.countLeadingOnes());
2108 EXPECT_EQ(63U, i128.countTrailingZeros());
2109 EXPECT_EQ(65U, i128.countPopulation());
2111 // Ensure we handle large shifts of multi-word.
2112 const APInt signmin32(APInt::getSignedMinValue(32));
2113 EXPECT_TRUE(signmin32.ashr(32).isAllOnesValue());
2115 // Ensure we handle large shifts of multi-word.
2116 const APInt umax32(APInt::getSignedMaxValue(32));
2117 EXPECT_EQ(0, umax32.ashr(32));
2119 // Ensure we handle large shifts of multi-word.
2120 const APInt signmin128(APInt::getSignedMinValue(128));
2121 EXPECT_TRUE(signmin128.ashr(128).isAllOnesValue());
2123 // Ensure we handle large shifts of multi-word.
2124 const APInt umax128(APInt::getSignedMaxValue(128));
2125 EXPECT_EQ(0, umax128.ashr(128));
2128 TEST(APIntTest, LeftShift) {
2129 APInt i256(APInt::getLowBitsSet(256, 2));
2132 EXPECT_EQ(253U, i256.countLeadingZeros());
2133 EXPECT_EQ(1U, i256.countTrailingZeros());
2134 EXPECT_EQ(2U, i256.countPopulation());
2137 EXPECT_EQ(191U, i256.countLeadingZeros());
2138 EXPECT_EQ(63U, i256.countTrailingZeros());
2139 EXPECT_EQ(2U, i256.countPopulation());
2142 EXPECT_EQ(126U, i256.countLeadingZeros());
2143 EXPECT_EQ(128U, i256.countTrailingZeros());
2144 EXPECT_EQ(2U, i256.countPopulation());
2147 EXPECT_EQ(62U, i256.countLeadingZeros());
2148 EXPECT_EQ(192U, i256.countTrailingZeros());
2149 EXPECT_EQ(2U, i256.countPopulation());
2152 EXPECT_EQ(0U, i256.countLeadingZeros());
2153 EXPECT_EQ(255U, i256.countTrailingZeros());
2154 EXPECT_EQ(1U, i256.countPopulation());
2156 // Ensure we handle large shifts of multi-word.
2157 const APInt neg_one(128, static_cast<uint64_t>(-1), true);
2158 EXPECT_EQ(0, neg_one.shl(128));
2161 TEST(APIntTest, isSubsetOf) {
2165 EXPECT_FALSE(i32_3.isSubsetOf(i32_1));
2166 EXPECT_TRUE(i32_1.isSubsetOf(i32_3));
2167 EXPECT_FALSE(i32_2.isSubsetOf(i32_1));
2168 EXPECT_FALSE(i32_1.isSubsetOf(i32_2));
2169 EXPECT_TRUE(i32_3.isSubsetOf(i32_3));
2171 APInt i128_1(128, 1);
2172 APInt i128_2(128, 2);
2173 APInt i128_3(128, 3);
2174 EXPECT_FALSE(i128_3.isSubsetOf(i128_1));
2175 EXPECT_TRUE(i128_1.isSubsetOf(i128_3));
2176 EXPECT_FALSE(i128_2.isSubsetOf(i128_1));
2177 EXPECT_FALSE(i128_1.isSubsetOf(i128_2));
2178 EXPECT_TRUE(i128_3.isSubsetOf(i128_3));
2183 EXPECT_FALSE(i128_3.isSubsetOf(i128_1));
2184 EXPECT_TRUE(i128_1.isSubsetOf(i128_3));
2185 EXPECT_FALSE(i128_2.isSubsetOf(i128_1));
2186 EXPECT_FALSE(i128_1.isSubsetOf(i128_2));
2187 EXPECT_TRUE(i128_3.isSubsetOf(i128_3));
2190 TEST(APIntTest, sext) {
2191 EXPECT_EQ(0, APInt(1, 0).sext(64));
2192 EXPECT_EQ(~uint64_t(0), APInt(1, 1).sext(64));
2194 APInt i32_max(APInt::getSignedMaxValue(32).sext(63));
2195 EXPECT_EQ(32U, i32_max.countLeadingZeros());
2196 EXPECT_EQ(0U, i32_max.countTrailingZeros());
2197 EXPECT_EQ(31U, i32_max.countPopulation());
2199 APInt i32_min(APInt::getSignedMinValue(32).sext(63));
2200 EXPECT_EQ(32U, i32_min.countLeadingOnes());
2201 EXPECT_EQ(31U, i32_min.countTrailingZeros());
2202 EXPECT_EQ(32U, i32_min.countPopulation());
2204 APInt i32_neg1(APInt(32, ~uint64_t(0)).sext(63));
2205 EXPECT_EQ(63U, i32_neg1.countLeadingOnes());
2206 EXPECT_EQ(0U, i32_neg1.countTrailingZeros());
2207 EXPECT_EQ(63U, i32_neg1.countPopulation());
2210 TEST(APIntTest, multiply) {
2211 APInt i64(64, 1234);
2213 EXPECT_EQ(7006652, i64 * 5678);
2214 EXPECT_EQ(7006652, 5678 * i64);
2216 APInt i128 = APInt::getOneBitSet(128, 64);
2217 APInt i128_1234(128, 1234);
2219 EXPECT_EQ(i128_1234, i128 * 1234);
2220 EXPECT_EQ(i128_1234, 1234 * i128);
2222 APInt i96 = APInt::getOneBitSet(96, 64);
2224 EXPECT_EQ(32U, i96.countLeadingOnes());
2225 EXPECT_EQ(32U, i96.countPopulation());
2226 EXPECT_EQ(64U, i96.countTrailingZeros());
2229 } // end anonymous namespace