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[Alignment] Migrate Attribute::getWith(Stack)Alignment
[llvm-core.git] / unittests / ADT / APIntTest.cpp
bloba58d31439e7c17a39df9601eb2d5777efd82f2ac
1 //===- llvm/unittest/ADT/APInt.cpp - APInt unit tests ---------------------===//
2 //
3 // Part of the LLVM Project, under the Apache License v2.0 with LLVM Exceptions.
4 // See https://llvm.org/LICENSE.txt for license information.
5 // SPDX-License-Identifier: Apache-2.0 WITH LLVM-exception
6 //
7 //===----------------------------------------------------------------------===//
8
9 #include "llvm/ADT/APInt.h"
10 #include "llvm/ADT/ArrayRef.h"
11 #include "llvm/ADT/SmallString.h"
12 #include "llvm/ADT/Twine.h"
13 #include "gtest/gtest.h"
14 #include <array>
15
16 using namespace llvm;
17
18 namespace {
19
20 TEST(APIntTest, ValueInit) {
21 APInt Zero = APInt();
22 EXPECT_TRUE(!Zero);
23 EXPECT_TRUE(!Zero.zext(64));
24 EXPECT_TRUE(!Zero.sext(64));
25 }
26
27 // Test that APInt shift left works when bitwidth > 64 and shiftamt == 0
28 TEST(APIntTest, ShiftLeftByZero) {
29 APInt One = APInt::getNullValue(65) + 1;
30 APInt Shl = One.shl(0);
31 EXPECT_TRUE(Shl[0]);
32 EXPECT_FALSE(Shl[1]);
33 }
34
35 TEST(APIntTest, i64_ArithmeticRightShiftNegative) {
36 const APInt neg_one(64, static_cast<uint64_t>(-1), true);
37 EXPECT_EQ(neg_one, neg_one.ashr(7));
38 }
39
40 TEST(APIntTest, i128_NegativeCount) {
41 APInt Minus3(128, static_cast<uint64_t>(-3), true);
42 EXPECT_EQ(126u, Minus3.countLeadingOnes());
43 EXPECT_EQ(-3, Minus3.getSExtValue());
44
45 APInt Minus1(128, static_cast<uint64_t>(-1), true);
46 EXPECT_EQ(0u, Minus1.countLeadingZeros());
47 EXPECT_EQ(128u, Minus1.countLeadingOnes());
48 EXPECT_EQ(128u, Minus1.getActiveBits());
49 EXPECT_EQ(0u, Minus1.countTrailingZeros());
50 EXPECT_EQ(128u, Minus1.countTrailingOnes());
51 EXPECT_EQ(128u, Minus1.countPopulation());
52 EXPECT_EQ(-1, Minus1.getSExtValue());
53 }
54
55 TEST(APIntTest, i33_Count) {
56 APInt i33minus2(33, static_cast<uint64_t>(-2), true);
57 EXPECT_EQ(0u, i33minus2.countLeadingZeros());
58 EXPECT_EQ(32u, i33minus2.countLeadingOnes());
59 EXPECT_EQ(33u, i33minus2.getActiveBits());
60 EXPECT_EQ(1u, i33minus2.countTrailingZeros());
61 EXPECT_EQ(32u, i33minus2.countPopulation());
62 EXPECT_EQ(-2, i33minus2.getSExtValue());
63 EXPECT_EQ(((uint64_t)-2)&((1ull<<33) -1), i33minus2.getZExtValue());
64 }
65
66 TEST(APIntTest, i61_Count) {
67 APInt i61(61, 1 << 15);
68 EXPECT_EQ(45u, i61.countLeadingZeros());
69 EXPECT_EQ(0u, i61.countLeadingOnes());
70 EXPECT_EQ(16u, i61.getActiveBits());
71 EXPECT_EQ(15u, i61.countTrailingZeros());
72 EXPECT_EQ(1u, i61.countPopulation());
73 EXPECT_EQ(static_cast<int64_t>(1 << 15), i61.getSExtValue());
74 EXPECT_EQ(static_cast<uint64_t>(1 << 15), i61.getZExtValue());
75
76 i61.setBits(8, 19);
77 EXPECT_EQ(42u, i61.countLeadingZeros());
78 EXPECT_EQ(0u, i61.countLeadingOnes());
79 EXPECT_EQ(19u, i61.getActiveBits());
80 EXPECT_EQ(8u, i61.countTrailingZeros());
81 EXPECT_EQ(11u, i61.countPopulation());
82 EXPECT_EQ(static_cast<int64_t>((1 << 19) - (1 << 8)), i61.getSExtValue());
83 EXPECT_EQ(static_cast<uint64_t>((1 << 19) - (1 << 8)), i61.getZExtValue());
84 }
85
86 TEST(APIntTest, i65_Count) {
87 APInt i65(65, 0, true);
88 EXPECT_EQ(65u, i65.countLeadingZeros());
89 EXPECT_EQ(0u, i65.countLeadingOnes());
90 EXPECT_EQ(0u, i65.getActiveBits());
91 EXPECT_EQ(1u, i65.getActiveWords());
92 EXPECT_EQ(65u, i65.countTrailingZeros());
93 EXPECT_EQ(0u, i65.countPopulation());
94
95 APInt i65minus(65, 0, true);
96 i65minus.setBit(64);
97 EXPECT_EQ(0u, i65minus.countLeadingZeros());
98 EXPECT_EQ(1u, i65minus.countLeadingOnes());
99 EXPECT_EQ(65u, i65minus.getActiveBits());
100 EXPECT_EQ(64u, i65minus.countTrailingZeros());
101 EXPECT_EQ(1u, i65minus.countPopulation());
102 }
103
104 TEST(APIntTest, i128_PositiveCount) {
105 APInt u128max = APInt::getAllOnesValue(128);
106 EXPECT_EQ(128u, u128max.countLeadingOnes());
107 EXPECT_EQ(0u, u128max.countLeadingZeros());
108 EXPECT_EQ(128u, u128max.getActiveBits());
109 EXPECT_EQ(0u, u128max.countTrailingZeros());
110 EXPECT_EQ(128u, u128max.countTrailingOnes());
111 EXPECT_EQ(128u, u128max.countPopulation());
112
113 APInt u64max(128, static_cast<uint64_t>(-1), false);
114 EXPECT_EQ(64u, u64max.countLeadingZeros());
115 EXPECT_EQ(0u, u64max.countLeadingOnes());
116 EXPECT_EQ(64u, u64max.getActiveBits());
117 EXPECT_EQ(0u, u64max.countTrailingZeros());
118 EXPECT_EQ(64u, u64max.countTrailingOnes());
119 EXPECT_EQ(64u, u64max.countPopulation());
120 EXPECT_EQ((uint64_t)~0ull, u64max.getZExtValue());
121
122 APInt zero(128, 0, true);
123 EXPECT_EQ(128u, zero.countLeadingZeros());
124 EXPECT_EQ(0u, zero.countLeadingOnes());
125 EXPECT_EQ(0u, zero.getActiveBits());
126 EXPECT_EQ(128u, zero.countTrailingZeros());
127 EXPECT_EQ(0u, zero.countTrailingOnes());
128 EXPECT_EQ(0u, zero.countPopulation());
129 EXPECT_EQ(0u, zero.getSExtValue());
130 EXPECT_EQ(0u, zero.getZExtValue());
131
132 APInt one(128, 1, true);
133 EXPECT_EQ(127u, one.countLeadingZeros());
134 EXPECT_EQ(0u, one.countLeadingOnes());
135 EXPECT_EQ(1u, one.getActiveBits());
136 EXPECT_EQ(0u, one.countTrailingZeros());
137 EXPECT_EQ(1u, one.countTrailingOnes());
138 EXPECT_EQ(1u, one.countPopulation());
139 EXPECT_EQ(1, one.getSExtValue());
140 EXPECT_EQ(1u, one.getZExtValue());
141
142 APInt s128(128, 2, true);
143 EXPECT_EQ(126u, s128.countLeadingZeros());
144 EXPECT_EQ(0u, s128.countLeadingOnes());
145 EXPECT_EQ(2u, s128.getActiveBits());
146 EXPECT_EQ(1u, s128.countTrailingZeros());
147 EXPECT_EQ(0u, s128.countTrailingOnes());
148 EXPECT_EQ(1u, s128.countPopulation());
149 EXPECT_EQ(2, s128.getSExtValue());
150 EXPECT_EQ(2u, s128.getZExtValue());
151
152 // NOP Test
153 s128.setBits(42, 42);
154 EXPECT_EQ(126u, s128.countLeadingZeros());
155 EXPECT_EQ(0u, s128.countLeadingOnes());
156 EXPECT_EQ(2u, s128.getActiveBits());
157 EXPECT_EQ(1u, s128.countTrailingZeros());
158 EXPECT_EQ(0u, s128.countTrailingOnes());
159 EXPECT_EQ(1u, s128.countPopulation());
160 EXPECT_EQ(2, s128.getSExtValue());
161 EXPECT_EQ(2u, s128.getZExtValue());
162
163 s128.setBits(3, 32);
164 EXPECT_EQ(96u, s128.countLeadingZeros());
165 EXPECT_EQ(0u, s128.countLeadingOnes());
166 EXPECT_EQ(32u, s128.getActiveBits());
167 EXPECT_EQ(33u, s128.getMinSignedBits());
168 EXPECT_EQ(1u, s128.countTrailingZeros());
169 EXPECT_EQ(0u, s128.countTrailingOnes());
170 EXPECT_EQ(30u, s128.countPopulation());
171 EXPECT_EQ(static_cast<uint32_t>((~0u << 3) | 2), s128.getZExtValue());
172
173 s128.setBits(62, 128);
174 EXPECT_EQ(0u, s128.countLeadingZeros());
175 EXPECT_EQ(66u, s128.countLeadingOnes());
176 EXPECT_EQ(128u, s128.getActiveBits());
177 EXPECT_EQ(63u, s128.getMinSignedBits());
178 EXPECT_EQ(1u, s128.countTrailingZeros());
179 EXPECT_EQ(0u, s128.countTrailingOnes());
180 EXPECT_EQ(96u, s128.countPopulation());
181 EXPECT_EQ(static_cast<int64_t>((3ull << 62) |
182 static_cast<uint32_t>((~0u << 3) | 2)),
183 s128.getSExtValue());
184 }
185
186 TEST(APIntTest, i256) {
187 APInt s256(256, 15, true);
188 EXPECT_EQ(252u, s256.countLeadingZeros());
189 EXPECT_EQ(0u, s256.countLeadingOnes());
190 EXPECT_EQ(4u, s256.getActiveBits());
191 EXPECT_EQ(0u, s256.countTrailingZeros());
192 EXPECT_EQ(4u, s256.countTrailingOnes());
193 EXPECT_EQ(4u, s256.countPopulation());
194 EXPECT_EQ(15, s256.getSExtValue());
195 EXPECT_EQ(15u, s256.getZExtValue());
196
197 s256.setBits(62, 66);
198 EXPECT_EQ(190u, s256.countLeadingZeros());
199 EXPECT_EQ(0u, s256.countLeadingOnes());
200 EXPECT_EQ(66u, s256.getActiveBits());
201 EXPECT_EQ(67u, s256.getMinSignedBits());
202 EXPECT_EQ(0u, s256.countTrailingZeros());
203 EXPECT_EQ(4u, s256.countTrailingOnes());
204 EXPECT_EQ(8u, s256.countPopulation());
205
206 s256.setBits(60, 256);
207 EXPECT_EQ(0u, s256.countLeadingZeros());
208 EXPECT_EQ(196u, s256.countLeadingOnes());
209 EXPECT_EQ(256u, s256.getActiveBits());
210 EXPECT_EQ(61u, s256.getMinSignedBits());
211 EXPECT_EQ(0u, s256.countTrailingZeros());
212 EXPECT_EQ(4u, s256.countTrailingOnes());
213 EXPECT_EQ(200u, s256.countPopulation());
214 EXPECT_EQ(static_cast<int64_t>((~0ull << 60) | 15), s256.getSExtValue());
215 }
216
217 TEST(APIntTest, i1) {
218 const APInt neg_two(1, static_cast<uint64_t>(-2), true);
219 const APInt neg_one(1, static_cast<uint64_t>(-1), true);
220 const APInt zero(1, 0);
221 const APInt one(1, 1);
222 const APInt two(1, 2);
223
224 EXPECT_EQ(0, neg_two.getSExtValue());
225 EXPECT_EQ(-1, neg_one.getSExtValue());
226 EXPECT_EQ(1u, neg_one.getZExtValue());
227 EXPECT_EQ(0u, zero.getZExtValue());
228 EXPECT_EQ(-1, one.getSExtValue());
229 EXPECT_EQ(1u, one.getZExtValue());
230 EXPECT_EQ(0u, two.getZExtValue());
231 EXPECT_EQ(0, two.getSExtValue());
232
233 // Basic equalities for 1-bit values.
234 EXPECT_EQ(zero, two);
235 EXPECT_EQ(zero, neg_two);
236 EXPECT_EQ(one, neg_one);
237 EXPECT_EQ(two, neg_two);
238
239 // Min/max signed values.
240 EXPECT_TRUE(zero.isMaxSignedValue());
241 EXPECT_FALSE(one.isMaxSignedValue());
242 EXPECT_FALSE(zero.isMinSignedValue());
243 EXPECT_TRUE(one.isMinSignedValue());
244
245 // Additions.
246 EXPECT_EQ(two, one + one);
247 EXPECT_EQ(zero, neg_one + one);
248 EXPECT_EQ(neg_two, neg_one + neg_one);
249
250 // Subtractions.
251 EXPECT_EQ(neg_two, neg_one - one);
252 EXPECT_EQ(two, one - neg_one);
253 EXPECT_EQ(zero, one - one);
254
255 // And
256 EXPECT_EQ(zero, zero & zero);
257 EXPECT_EQ(zero, one & zero);
258 EXPECT_EQ(zero, zero & one);
259 EXPECT_EQ(one, one & one);
260 EXPECT_EQ(zero, zero & zero);
261 EXPECT_EQ(zero, neg_one & zero);
262 EXPECT_EQ(zero, zero & neg_one);
263 EXPECT_EQ(neg_one, neg_one & neg_one);
264
265 // Or
266 EXPECT_EQ(zero, zero | zero);
267 EXPECT_EQ(one, one | zero);
268 EXPECT_EQ(one, zero | one);
269 EXPECT_EQ(one, one | one);
270 EXPECT_EQ(zero, zero | zero);
271 EXPECT_EQ(neg_one, neg_one | zero);
272 EXPECT_EQ(neg_one, zero | neg_one);
273 EXPECT_EQ(neg_one, neg_one | neg_one);
274
275 // Xor
276 EXPECT_EQ(zero, zero ^ zero);
277 EXPECT_EQ(one, one ^ zero);
278 EXPECT_EQ(one, zero ^ one);
279 EXPECT_EQ(zero, one ^ one);
280 EXPECT_EQ(zero, zero ^ zero);
281 EXPECT_EQ(neg_one, neg_one ^ zero);
282 EXPECT_EQ(neg_one, zero ^ neg_one);
283 EXPECT_EQ(zero, neg_one ^ neg_one);
284
285 // Shifts.
286 EXPECT_EQ(zero, one << one);
287 EXPECT_EQ(one, one << zero);
288 EXPECT_EQ(zero, one.shl(1));
289 EXPECT_EQ(one, one.shl(0));
290 EXPECT_EQ(zero, one.lshr(1));
291 EXPECT_EQ(one, one.ashr(1));
292
293 // Rotates.
294 EXPECT_EQ(one, one.rotl(0));
295 EXPECT_EQ(one, one.rotl(1));
296 EXPECT_EQ(one, one.rotr(0));
297 EXPECT_EQ(one, one.rotr(1));
298
299 // Multiplies.
300 EXPECT_EQ(neg_one, neg_one * one);
301 EXPECT_EQ(neg_one, one * neg_one);
302 EXPECT_EQ(one, neg_one * neg_one);
303 EXPECT_EQ(one, one * one);
304
305 // Divides.
306 EXPECT_EQ(neg_one, one.sdiv(neg_one));
307 EXPECT_EQ(neg_one, neg_one.sdiv(one));
308 EXPECT_EQ(one, neg_one.sdiv(neg_one));
309 EXPECT_EQ(one, one.sdiv(one));
310
311 EXPECT_EQ(neg_one, one.udiv(neg_one));
312 EXPECT_EQ(neg_one, neg_one.udiv(one));
313 EXPECT_EQ(one, neg_one.udiv(neg_one));
314 EXPECT_EQ(one, one.udiv(one));
315
316 // Remainders.
317 EXPECT_EQ(zero, neg_one.srem(one));
318 EXPECT_EQ(zero, neg_one.urem(one));
319 EXPECT_EQ(zero, one.srem(neg_one));
320
321 // sdivrem
322 {
323 APInt q(8, 0);
324 APInt r(8, 0);
325 APInt one(8, 1);
326 APInt two(8, 2);
327 APInt nine(8, 9);
328 APInt four(8, 4);
329
330 EXPECT_EQ(nine.srem(two), one);
331 EXPECT_EQ(nine.srem(-two), one);
332 EXPECT_EQ((-nine).srem(two), -one);
333 EXPECT_EQ((-nine).srem(-two), -one);
334
335 APInt::sdivrem(nine, two, q, r);
336 EXPECT_EQ(four, q);
337 EXPECT_EQ(one, r);
338 APInt::sdivrem(-nine, two, q, r);
339 EXPECT_EQ(-four, q);
340 EXPECT_EQ(-one, r);
341 APInt::sdivrem(nine, -two, q, r);
342 EXPECT_EQ(-four, q);
343 EXPECT_EQ(one, r);
344 APInt::sdivrem(-nine, -two, q, r);
345 EXPECT_EQ(four, q);
346 EXPECT_EQ(-one, r);
347 }
348 }
349
350 TEST(APIntTest, compare) {
351 std::array<APInt, 5> testVals{{
352 APInt{16, 2},
353 APInt{16, 1},
354 APInt{16, 0},
355 APInt{16, (uint64_t)-1, true},
356 APInt{16, (uint64_t)-2, true},
357 }};
358
359 for (auto &arg1 : testVals)
360 for (auto &arg2 : testVals) {
361 auto uv1 = arg1.getZExtValue();
362 auto uv2 = arg2.getZExtValue();
363 auto sv1 = arg1.getSExtValue();
364 auto sv2 = arg2.getSExtValue();
365
366 EXPECT_EQ(uv1 < uv2, arg1.ult(arg2));
367 EXPECT_EQ(uv1 <= uv2, arg1.ule(arg2));
368 EXPECT_EQ(uv1 > uv2, arg1.ugt(arg2));
369 EXPECT_EQ(uv1 >= uv2, arg1.uge(arg2));
370
371 EXPECT_EQ(sv1 < sv2, arg1.slt(arg2));
372 EXPECT_EQ(sv1 <= sv2, arg1.sle(arg2));
373 EXPECT_EQ(sv1 > sv2, arg1.sgt(arg2));
374 EXPECT_EQ(sv1 >= sv2, arg1.sge(arg2));
375
376 EXPECT_EQ(uv1 < uv2, arg1.ult(uv2));
377 EXPECT_EQ(uv1 <= uv2, arg1.ule(uv2));
378 EXPECT_EQ(uv1 > uv2, arg1.ugt(uv2));
379 EXPECT_EQ(uv1 >= uv2, arg1.uge(uv2));
380
381 EXPECT_EQ(sv1 < sv2, arg1.slt(sv2));
382 EXPECT_EQ(sv1 <= sv2, arg1.sle(sv2));
383 EXPECT_EQ(sv1 > sv2, arg1.sgt(sv2));
384 EXPECT_EQ(sv1 >= sv2, arg1.sge(sv2));
385 }
386 }
387
388 TEST(APIntTest, compareWithRawIntegers) {
389 EXPECT_TRUE(!APInt(8, 1).uge(256));
390 EXPECT_TRUE(!APInt(8, 1).ugt(256));
391 EXPECT_TRUE( APInt(8, 1).ule(256));
392 EXPECT_TRUE( APInt(8, 1).ult(256));
393 EXPECT_TRUE(!APInt(8, 1).sge(256));
394 EXPECT_TRUE(!APInt(8, 1).sgt(256));
395 EXPECT_TRUE( APInt(8, 1).sle(256));
396 EXPECT_TRUE( APInt(8, 1).slt(256));
397 EXPECT_TRUE(!(APInt(8, 0) == 256));
398 EXPECT_TRUE( APInt(8, 0) != 256);
399 EXPECT_TRUE(!(APInt(8, 1) == 256));
400 EXPECT_TRUE( APInt(8, 1) != 256);
401
402 auto uint64max = UINT64_MAX;
403 auto int64max = INT64_MAX;
404 auto int64min = INT64_MIN;
405
406 auto u64 = APInt{128, uint64max};
407 auto s64 = APInt{128, static_cast<uint64_t>(int64max), true};
408 auto big = u64 + 1;
409
410 EXPECT_TRUE( u64.uge(uint64max));
411 EXPECT_TRUE(!u64.ugt(uint64max));
412 EXPECT_TRUE( u64.ule(uint64max));
413 EXPECT_TRUE(!u64.ult(uint64max));
414 EXPECT_TRUE( u64.sge(int64max));
415 EXPECT_TRUE( u64.sgt(int64max));
416 EXPECT_TRUE(!u64.sle(int64max));
417 EXPECT_TRUE(!u64.slt(int64max));
418 EXPECT_TRUE( u64.sge(int64min));
419 EXPECT_TRUE( u64.sgt(int64min));
420 EXPECT_TRUE(!u64.sle(int64min));
421 EXPECT_TRUE(!u64.slt(int64min));
422
423 EXPECT_TRUE(u64 == uint64max);
424 EXPECT_TRUE(u64 != int64max);
425 EXPECT_TRUE(u64 != int64min);
426
427 EXPECT_TRUE(!s64.uge(uint64max));
428 EXPECT_TRUE(!s64.ugt(uint64max));
429 EXPECT_TRUE( s64.ule(uint64max));
430 EXPECT_TRUE( s64.ult(uint64max));
431 EXPECT_TRUE( s64.sge(int64max));
432 EXPECT_TRUE(!s64.sgt(int64max));
433 EXPECT_TRUE( s64.sle(int64max));
434 EXPECT_TRUE(!s64.slt(int64max));
435 EXPECT_TRUE( s64.sge(int64min));
436 EXPECT_TRUE( s64.sgt(int64min));
437 EXPECT_TRUE(!s64.sle(int64min));
438 EXPECT_TRUE(!s64.slt(int64min));
439
440 EXPECT_TRUE(s64 != uint64max);
441 EXPECT_TRUE(s64 == int64max);
442 EXPECT_TRUE(s64 != int64min);
443
444 EXPECT_TRUE( big.uge(uint64max));
445 EXPECT_TRUE( big.ugt(uint64max));
446 EXPECT_TRUE(!big.ule(uint64max));
447 EXPECT_TRUE(!big.ult(uint64max));
448 EXPECT_TRUE( big.sge(int64max));
449 EXPECT_TRUE( big.sgt(int64max));
450 EXPECT_TRUE(!big.sle(int64max));
451 EXPECT_TRUE(!big.slt(int64max));
452 EXPECT_TRUE( big.sge(int64min));
453 EXPECT_TRUE( big.sgt(int64min));
454 EXPECT_TRUE(!big.sle(int64min));
455 EXPECT_TRUE(!big.slt(int64min));
456
457 EXPECT_TRUE(big != uint64max);
458 EXPECT_TRUE(big != int64max);
459 EXPECT_TRUE(big != int64min);
460 }
461
462 TEST(APIntTest, compareWithInt64Min) {
463 int64_t edge = INT64_MIN;
464 int64_t edgeP1 = edge + 1;
465 int64_t edgeM1 = INT64_MAX;
466 auto a = APInt{64, static_cast<uint64_t>(edge), true};
467
468 EXPECT_TRUE(!a.slt(edge));
469 EXPECT_TRUE( a.sle(edge));
470 EXPECT_TRUE(!a.sgt(edge));
471 EXPECT_TRUE( a.sge(edge));
472 EXPECT_TRUE( a.slt(edgeP1));
473 EXPECT_TRUE( a.sle(edgeP1));
474 EXPECT_TRUE(!a.sgt(edgeP1));
475 EXPECT_TRUE(!a.sge(edgeP1));
476 EXPECT_TRUE( a.slt(edgeM1));
477 EXPECT_TRUE( a.sle(edgeM1));
478 EXPECT_TRUE(!a.sgt(edgeM1));
479 EXPECT_TRUE(!a.sge(edgeM1));
480 }
481
482 TEST(APIntTest, compareWithHalfInt64Max) {
483 uint64_t edge = 0x4000000000000000;
484 uint64_t edgeP1 = edge + 1;
485 uint64_t edgeM1 = edge - 1;
486 auto a = APInt{64, edge};
487
488 EXPECT_TRUE(!a.ult(edge));
489 EXPECT_TRUE( a.ule(edge));
490 EXPECT_TRUE(!a.ugt(edge));
491 EXPECT_TRUE( a.uge(edge));
492 EXPECT_TRUE( a.ult(edgeP1));
493 EXPECT_TRUE( a.ule(edgeP1));
494 EXPECT_TRUE(!a.ugt(edgeP1));
495 EXPECT_TRUE(!a.uge(edgeP1));
496 EXPECT_TRUE(!a.ult(edgeM1));
497 EXPECT_TRUE(!a.ule(edgeM1));
498 EXPECT_TRUE( a.ugt(edgeM1));
499 EXPECT_TRUE( a.uge(edgeM1));
500
501 EXPECT_TRUE(!a.slt(edge));
502 EXPECT_TRUE( a.sle(edge));
503 EXPECT_TRUE(!a.sgt(edge));
504 EXPECT_TRUE( a.sge(edge));
505 EXPECT_TRUE( a.slt(edgeP1));
506 EXPECT_TRUE( a.sle(edgeP1));
507 EXPECT_TRUE(!a.sgt(edgeP1));
508 EXPECT_TRUE(!a.sge(edgeP1));
509 EXPECT_TRUE(!a.slt(edgeM1));
510 EXPECT_TRUE(!a.sle(edgeM1));
511 EXPECT_TRUE( a.sgt(edgeM1));
512 EXPECT_TRUE( a.sge(edgeM1));
513 }
514
515 TEST(APIntTest, compareLargeIntegers) {
516 // Make sure all the combinations of signed comparisons work with big ints.
517 auto One = APInt{128, static_cast<uint64_t>(1), true};
518 auto Two = APInt{128, static_cast<uint64_t>(2), true};
519 auto MinusOne = APInt{128, static_cast<uint64_t>(-1), true};
520 auto MinusTwo = APInt{128, static_cast<uint64_t>(-2), true};
521
522 EXPECT_TRUE(!One.slt(One));
523 EXPECT_TRUE(!Two.slt(One));
524 EXPECT_TRUE(MinusOne.slt(One));
525 EXPECT_TRUE(MinusTwo.slt(One));
526
527 EXPECT_TRUE(One.slt(Two));
528 EXPECT_TRUE(!Two.slt(Two));
529 EXPECT_TRUE(MinusOne.slt(Two));
530 EXPECT_TRUE(MinusTwo.slt(Two));
531
532 EXPECT_TRUE(!One.slt(MinusOne));
533 EXPECT_TRUE(!Two.slt(MinusOne));
534 EXPECT_TRUE(!MinusOne.slt(MinusOne));
535 EXPECT_TRUE(MinusTwo.slt(MinusOne));
536
537 EXPECT_TRUE(!One.slt(MinusTwo));
538 EXPECT_TRUE(!Two.slt(MinusTwo));
539 EXPECT_TRUE(!MinusOne.slt(MinusTwo));
540 EXPECT_TRUE(!MinusTwo.slt(MinusTwo));
541 }
542
543 TEST(APIntTest, binaryOpsWithRawIntegers) {
544 // Single word check.
545 uint64_t E1 = 0x2CA7F46BF6569915ULL;
546 APInt A1(64, E1);
547
548 EXPECT_EQ(A1 & E1, E1);
549 EXPECT_EQ(A1 & 0, 0);
550 EXPECT_EQ(A1 & 1, 1);
551 EXPECT_EQ(A1 & 5, 5);
552 EXPECT_EQ(A1 & UINT64_MAX, E1);
553
554 EXPECT_EQ(A1 | E1, E1);
555 EXPECT_EQ(A1 | 0, E1);
556 EXPECT_EQ(A1 | 1, E1);
557 EXPECT_EQ(A1 | 2, E1 | 2);
558 EXPECT_EQ(A1 | UINT64_MAX, UINT64_MAX);
559
560 EXPECT_EQ(A1 ^ E1, 0);
561 EXPECT_EQ(A1 ^ 0, E1);
562 EXPECT_EQ(A1 ^ 1, E1 ^ 1);
563 EXPECT_EQ(A1 ^ 7, E1 ^ 7);
564 EXPECT_EQ(A1 ^ UINT64_MAX, ~E1);
565
566 // Multiword check.
567 uint64_t N = 0xEB6EB136591CBA21ULL;
568 APInt::WordType E2[4] = {
569 N,
570 0x7B9358BD6A33F10AULL,
571 0x7E7FFA5EADD8846ULL,
572 0x305F341CA00B613DULL
573 };
574 APInt A2(APInt::APINT_BITS_PER_WORD*4, E2);
575
576 EXPECT_EQ(A2 & N, N);
577 EXPECT_EQ(A2 & 0, 0);
578 EXPECT_EQ(A2 & 1, 1);
579 EXPECT_EQ(A2 & 5, 1);
580 EXPECT_EQ(A2 & UINT64_MAX, N);
581
582 EXPECT_EQ(A2 | N, A2);
583 EXPECT_EQ(A2 | 0, A2);
584 EXPECT_EQ(A2 | 1, A2);
585 EXPECT_EQ(A2 | 2, A2 + 2);
586 EXPECT_EQ(A2 | UINT64_MAX, A2 - N + UINT64_MAX);
587
588 EXPECT_EQ(A2 ^ N, A2 - N);
589 EXPECT_EQ(A2 ^ 0, A2);
590 EXPECT_EQ(A2 ^ 1, A2 - 1);
591 EXPECT_EQ(A2 ^ 7, A2 + 5);
592 EXPECT_EQ(A2 ^ UINT64_MAX, A2 - N + ~N);
593 }
594
595 TEST(APIntTest, rvalue_arithmetic) {
596 // Test all combinations of lvalue/rvalue lhs/rhs of add/sub
597
598 // Lamdba to return an APInt by value, but also provide the raw value of the
599 // allocated data.
600 auto getRValue = [](const char *HexString, uint64_t const *&RawData) {
601 APInt V(129, HexString, 16);
602 RawData = V.getRawData();
603 return V;
604 };
605
606 APInt One(129, "1", 16);
607 APInt Two(129, "2", 16);
608 APInt Three(129, "3", 16);
609 APInt MinusOne = -One;
610
611 const uint64_t *RawDataL = nullptr;
612 const uint64_t *RawDataR = nullptr;
613
614 {
615 // 1 + 1 = 2
616 APInt AddLL = One + One;
617 EXPECT_EQ(AddLL, Two);
618
619 APInt AddLR = One + getRValue("1", RawDataR);
620 EXPECT_EQ(AddLR, Two);
621 EXPECT_EQ(AddLR.getRawData(), RawDataR);
622
623 APInt AddRL = getRValue("1", RawDataL) + One;
624 EXPECT_EQ(AddRL, Two);
625 EXPECT_EQ(AddRL.getRawData(), RawDataL);
626
627 APInt AddRR = getRValue("1", RawDataL) + getRValue("1", RawDataR);
628 EXPECT_EQ(AddRR, Two);
629 EXPECT_EQ(AddRR.getRawData(), RawDataR);
630
631 // LValue's and constants
632 APInt AddLK = One + 1;
633 EXPECT_EQ(AddLK, Two);
634
635 APInt AddKL = 1 + One;
636 EXPECT_EQ(AddKL, Two);
637
638 // RValue's and constants
639 APInt AddRK = getRValue("1", RawDataL) + 1;
640 EXPECT_EQ(AddRK, Two);
641 EXPECT_EQ(AddRK.getRawData(), RawDataL);
642
643 APInt AddKR = 1 + getRValue("1", RawDataR);
644 EXPECT_EQ(AddKR, Two);
645 EXPECT_EQ(AddKR.getRawData(), RawDataR);
646 }
647
648 {
649 // 0x0,FFFF...FFFF + 0x2 = 0x100...0001
650 APInt AllOnes(129, "0FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF", 16);
651 APInt HighOneLowOne(129, "100000000000000000000000000000001", 16);
652
653 APInt AddLL = AllOnes + Two;
654 EXPECT_EQ(AddLL, HighOneLowOne);
655
656 APInt AddLR = AllOnes + getRValue("2", RawDataR);
657 EXPECT_EQ(AddLR, HighOneLowOne);
658 EXPECT_EQ(AddLR.getRawData(), RawDataR);
659
660 APInt AddRL = getRValue("FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF", RawDataL) + Two;
661 EXPECT_EQ(AddRL, HighOneLowOne);
662 EXPECT_EQ(AddRL.getRawData(), RawDataL);
663
664 APInt AddRR = getRValue("FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF", RawDataL) +
665 getRValue("2", RawDataR);
666 EXPECT_EQ(AddRR, HighOneLowOne);
667 EXPECT_EQ(AddRR.getRawData(), RawDataR);
668
669 // LValue's and constants
670 APInt AddLK = AllOnes + 2;
671 EXPECT_EQ(AddLK, HighOneLowOne);
672
673 APInt AddKL = 2 + AllOnes;
674 EXPECT_EQ(AddKL, HighOneLowOne);
675
676 // RValue's and constants
677 APInt AddRK = getRValue("FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF", RawDataL) + 2;
678 EXPECT_EQ(AddRK, HighOneLowOne);
679 EXPECT_EQ(AddRK.getRawData(), RawDataL);
680
681 APInt AddKR = 2 + getRValue("FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF", RawDataR);
682 EXPECT_EQ(AddKR, HighOneLowOne);
683 EXPECT_EQ(AddKR.getRawData(), RawDataR);
684 }
685
686 {
687 // 2 - 1 = 1
688 APInt SubLL = Two - One;
689 EXPECT_EQ(SubLL, One);
690
691 APInt SubLR = Two - getRValue("1", RawDataR);
692 EXPECT_EQ(SubLR, One);
693 EXPECT_EQ(SubLR.getRawData(), RawDataR);
694
695 APInt SubRL = getRValue("2", RawDataL) - One;
696 EXPECT_EQ(SubRL, One);
697 EXPECT_EQ(SubRL.getRawData(), RawDataL);
698
699 APInt SubRR = getRValue("2", RawDataL) - getRValue("1", RawDataR);
700 EXPECT_EQ(SubRR, One);
701 EXPECT_EQ(SubRR.getRawData(), RawDataR);
702
703 // LValue's and constants
704 APInt SubLK = Two - 1;
705 EXPECT_EQ(SubLK, One);
706
707 APInt SubKL = 2 - One;
708 EXPECT_EQ(SubKL, One);
709
710 // RValue's and constants
711 APInt SubRK = getRValue("2", RawDataL) - 1;
712 EXPECT_EQ(SubRK, One);
713 EXPECT_EQ(SubRK.getRawData(), RawDataL);
714
715 APInt SubKR = 2 - getRValue("1", RawDataR);
716 EXPECT_EQ(SubKR, One);
717 EXPECT_EQ(SubKR.getRawData(), RawDataR);
718 }
719
720 {
721 // 0x100...0001 - 0x0,FFFF...FFFF = 0x2
722 APInt AllOnes(129, "0FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF", 16);
723 APInt HighOneLowOne(129, "100000000000000000000000000000001", 16);
724
725 APInt SubLL = HighOneLowOne - AllOnes;
726 EXPECT_EQ(SubLL, Two);
727
728 APInt SubLR = HighOneLowOne -
729 getRValue("0FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF", RawDataR);
730 EXPECT_EQ(SubLR, Two);
731 EXPECT_EQ(SubLR.getRawData(), RawDataR);
732
733 APInt SubRL = getRValue("100000000000000000000000000000001", RawDataL) -
734 AllOnes;
735 EXPECT_EQ(SubRL, Two);
736 EXPECT_EQ(SubRL.getRawData(), RawDataL);
737
738 APInt SubRR = getRValue("100000000000000000000000000000001", RawDataL) -
739 getRValue("0FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF", RawDataR);
740 EXPECT_EQ(SubRR, Two);
741 EXPECT_EQ(SubRR.getRawData(), RawDataR);
742
743 // LValue's and constants
744 // 0x100...0001 - 0x2 = 0x0,FFFF...FFFF
745 APInt SubLK = HighOneLowOne - 2;
746 EXPECT_EQ(SubLK, AllOnes);
747
748 // 2 - (-1) = 3
749 APInt SubKL = 2 - MinusOne;
750 EXPECT_EQ(SubKL, Three);
751
752 // RValue's and constants
753 // 0x100...0001 - 0x2 = 0x0,FFFF...FFFF
754 APInt SubRK = getRValue("100000000000000000000000000000001", RawDataL) - 2;
755 EXPECT_EQ(SubRK, AllOnes);
756 EXPECT_EQ(SubRK.getRawData(), RawDataL);
757
758 APInt SubKR = 2 - getRValue("1FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF", RawDataR);
759 EXPECT_EQ(SubKR, Three);
760 EXPECT_EQ(SubKR.getRawData(), RawDataR);
761 }
762 }
763
764 TEST(APIntTest, rvalue_bitwise) {
765 // Test all combinations of lvalue/rvalue lhs/rhs of and/or/xor
766
767 // Lamdba to return an APInt by value, but also provide the raw value of the
768 // allocated data.
769 auto getRValue = [](const char *HexString, uint64_t const *&RawData) {
770 APInt V(129, HexString, 16);
771 RawData = V.getRawData();
772 return V;
773 };
774
775 APInt Ten(129, "A", 16);
776 APInt Twelve(129, "C", 16);
777
778 const uint64_t *RawDataL = nullptr;
779 const uint64_t *RawDataR = nullptr;
780
781 {
782 // 12 & 10 = 8
783 APInt AndLL = Ten & Twelve;
784 EXPECT_EQ(AndLL, 0x8);
785
786 APInt AndLR = Ten & getRValue("C", RawDataR);
787 EXPECT_EQ(AndLR, 0x8);
788 EXPECT_EQ(AndLR.getRawData(), RawDataR);
789
790 APInt AndRL = getRValue("A", RawDataL) & Twelve;
791 EXPECT_EQ(AndRL, 0x8);
792 EXPECT_EQ(AndRL.getRawData(), RawDataL);
793
794 APInt AndRR = getRValue("A", RawDataL) & getRValue("C", RawDataR);
795 EXPECT_EQ(AndRR, 0x8);
796 EXPECT_EQ(AndRR.getRawData(), RawDataR);
797
798 // LValue's and constants
799 APInt AndLK = Ten & 0xc;
800 EXPECT_EQ(AndLK, 0x8);
801
802 APInt AndKL = 0xa & Twelve;
803 EXPECT_EQ(AndKL, 0x8);
804
805 // RValue's and constants
806 APInt AndRK = getRValue("A", RawDataL) & 0xc;
807 EXPECT_EQ(AndRK, 0x8);
808 EXPECT_EQ(AndRK.getRawData(), RawDataL);
809
810 APInt AndKR = 0xa & getRValue("C", RawDataR);
811 EXPECT_EQ(AndKR, 0x8);
812 EXPECT_EQ(AndKR.getRawData(), RawDataR);
813 }
814
815 {
816 // 12 | 10 = 14
817 APInt OrLL = Ten | Twelve;
818 EXPECT_EQ(OrLL, 0xe);
819
820 APInt OrLR = Ten | getRValue("C", RawDataR);
821 EXPECT_EQ(OrLR, 0xe);
822 EXPECT_EQ(OrLR.getRawData(), RawDataR);
823
824 APInt OrRL = getRValue("A", RawDataL) | Twelve;
825 EXPECT_EQ(OrRL, 0xe);
826 EXPECT_EQ(OrRL.getRawData(), RawDataL);
827
828 APInt OrRR = getRValue("A", RawDataL) | getRValue("C", RawDataR);
829 EXPECT_EQ(OrRR, 0xe);
830 EXPECT_EQ(OrRR.getRawData(), RawDataR);
831
832 // LValue's and constants
833 APInt OrLK = Ten | 0xc;
834 EXPECT_EQ(OrLK, 0xe);
835
836 APInt OrKL = 0xa | Twelve;
837 EXPECT_EQ(OrKL, 0xe);
838
839 // RValue's and constants
840 APInt OrRK = getRValue("A", RawDataL) | 0xc;
841 EXPECT_EQ(OrRK, 0xe);
842 EXPECT_EQ(OrRK.getRawData(), RawDataL);
843
844 APInt OrKR = 0xa | getRValue("C", RawDataR);
845 EXPECT_EQ(OrKR, 0xe);
846 EXPECT_EQ(OrKR.getRawData(), RawDataR);
847 }
848
849 {
850 // 12 ^ 10 = 6
851 APInt XorLL = Ten ^ Twelve;
852 EXPECT_EQ(XorLL, 0x6);
853
854 APInt XorLR = Ten ^ getRValue("C", RawDataR);
855 EXPECT_EQ(XorLR, 0x6);
856 EXPECT_EQ(XorLR.getRawData(), RawDataR);
857
858 APInt XorRL = getRValue("A", RawDataL) ^ Twelve;
859 EXPECT_EQ(XorRL, 0x6);
860 EXPECT_EQ(XorRL.getRawData(), RawDataL);
861
862 APInt XorRR = getRValue("A", RawDataL) ^ getRValue("C", RawDataR);
863 EXPECT_EQ(XorRR, 0x6);
864 EXPECT_EQ(XorRR.getRawData(), RawDataR);
865
866 // LValue's and constants
867 APInt XorLK = Ten ^ 0xc;
868 EXPECT_EQ(XorLK, 0x6);
869
870 APInt XorKL = 0xa ^ Twelve;
871 EXPECT_EQ(XorKL, 0x6);
872
873 // RValue's and constants
874 APInt XorRK = getRValue("A", RawDataL) ^ 0xc;
875 EXPECT_EQ(XorRK, 0x6);
876 EXPECT_EQ(XorRK.getRawData(), RawDataL);
877
878 APInt XorKR = 0xa ^ getRValue("C", RawDataR);
879 EXPECT_EQ(XorKR, 0x6);
880 EXPECT_EQ(XorKR.getRawData(), RawDataR);
881 }
882 }
883
884 TEST(APIntTest, rvalue_invert) {
885 // Lamdba to return an APInt by value, but also provide the raw value of the
886 // allocated data.
887 auto getRValue = [](const char *HexString, uint64_t const *&RawData) {
888 APInt V(129, HexString, 16);
889 RawData = V.getRawData();
890 return V;
891 };
892
893 APInt One(129, 1);
894 APInt NegativeTwo(129, -2ULL, true);
895
896 const uint64_t *RawData = nullptr;
897
898 {
899 // ~1 = -2
900 APInt NegL = ~One;
901 EXPECT_EQ(NegL, NegativeTwo);
902
903 APInt NegR = ~getRValue("1", RawData);
904 EXPECT_EQ(NegR, NegativeTwo);
905 EXPECT_EQ(NegR.getRawData(), RawData);
906 }
907 }
908
909 // Tests different div/rem varaints using scheme (a * b + c) / a
910 void testDiv(APInt a, APInt b, APInt c) {
911 ASSERT_TRUE(a.uge(b)); // Must: a >= b
912 ASSERT_TRUE(a.ugt(c)); // Must: a > c
913
914 auto p = a * b + c;
915
916 auto q = p.udiv(a);
917 auto r = p.urem(a);
918 EXPECT_EQ(b, q);
919 EXPECT_EQ(c, r);
920 APInt::udivrem(p, a, q, r);
921 EXPECT_EQ(b, q);
922 EXPECT_EQ(c, r);
923 q = p.sdiv(a);
924 r = p.srem(a);
925 EXPECT_EQ(b, q);
926 EXPECT_EQ(c, r);
927 APInt::sdivrem(p, a, q, r);
928 EXPECT_EQ(b, q);
929 EXPECT_EQ(c, r);
930
931 if (b.ugt(c)) { // Test also symmetric case
932 q = p.udiv(b);
933 r = p.urem(b);
934 EXPECT_EQ(a, q);
935 EXPECT_EQ(c, r);
936 APInt::udivrem(p, b, q, r);
937 EXPECT_EQ(a, q);
938 EXPECT_EQ(c, r);
939 q = p.sdiv(b);
940 r = p.srem(b);
941 EXPECT_EQ(a, q);
942 EXPECT_EQ(c, r);
943 APInt::sdivrem(p, b, q, r);
944 EXPECT_EQ(a, q);
945 EXPECT_EQ(c, r);
946 }
947 }
948
949 TEST(APIntTest, divrem_big1) {
950 // Tests KnuthDiv rare step D6
951 testDiv({256, "1ffffffffffffffff", 16},
952 {256, "1ffffffffffffffff", 16},
953 {256, 0});
954 }
955
956 TEST(APIntTest, divrem_big2) {
957 // Tests KnuthDiv rare step D6
958 testDiv({1024, "112233ceff"
959 "cecece000000ffffffffffffffffffff"
960 "ffffffffffffffffffffffffffffffff"
961 "ffffffffffffffffffffffffffffffff"
962 "ffffffffffffffffffffffffffffff33", 16},
963 {1024, "111111ffffffffffffffff"
964 "ffffffffffffffffffffffffffffffff"
965 "fffffffffffffffffffffffffffffccf"
966 "ffffffffffffffffffffffffffffff00", 16},
967 {1024, 7919});
968 }
969
970 TEST(APIntTest, divrem_big3) {
971 // Tests KnuthDiv case without shift
972 testDiv({256, "80000001ffffffffffffffff", 16},
973 {256, "ffffffffffffff0000000", 16},
974 {256, 4219});
975 }
976
977 TEST(APIntTest, divrem_big4) {
978 // Tests heap allocation in divide() enfoced by huge numbers
979 testDiv(APInt{4096, 5}.shl(2001),
980 APInt{4096, 1}.shl(2000),
981 APInt{4096, 4219*13});
982 }
983
984 TEST(APIntTest, divrem_big5) {
985 // Tests one word divisor case of divide()
986 testDiv(APInt{1024, 19}.shl(811),
987 APInt{1024, 4356013}, // one word
988 APInt{1024, 1});
989 }
990
991 TEST(APIntTest, divrem_big6) {
992 // Tests some rare "borrow" cases in D4 step
993 testDiv(APInt{512, "ffffffffffffffff00000000000000000000000001", 16},
994 APInt{512, "10000000000000001000000000000001", 16},
995 APInt{512, "10000000000000000000000000000000", 16});
996 }
997
998 TEST(APIntTest, divrem_big7) {
999 // Yet another test for KnuthDiv rare step D6.
1000 testDiv({224, "800000008000000200000005", 16},
1001 {224, "fffffffd", 16},
1002 {224, "80000000800000010000000f", 16});
1003 }
1004
1005 void testDiv(APInt a, uint64_t b, APInt c) {
1006 auto p = a * b + c;
1007
1008 APInt q;
1009 uint64_t r;
1010 // Unsigned division will only work if our original number wasn't negative.
1011 if (!a.isNegative()) {
1012 q = p.udiv(b);
1013 r = p.urem(b);
1014 EXPECT_EQ(a, q);
1015 EXPECT_EQ(c, r);
1016 APInt::udivrem(p, b, q, r);
1017 EXPECT_EQ(a, q);
1018 EXPECT_EQ(c, r);
1019 }
1020 q = p.sdiv(b);
1021 r = p.srem(b);
1022 EXPECT_EQ(a, q);
1023 if (c.isNegative())
1024 EXPECT_EQ(-c, -r); // Need to negate so the uint64_t compare will work.
1025 else
1026 EXPECT_EQ(c, r);
1027 int64_t sr;
1028 APInt::sdivrem(p, b, q, sr);
1029 EXPECT_EQ(a, q);
1030 if (c.isNegative())
1031 EXPECT_EQ(-c, -sr); // Need to negate so the uint64_t compare will work.
1032 else
1033 EXPECT_EQ(c, sr);
1034 }
1035
1036 TEST(APIntTest, divremuint) {
1037 // Single word APInt
1038 testDiv(APInt{64, 9},
1039 2,
1040 APInt{64, 1});
1041
1042 // Single word negative APInt
1043 testDiv(-APInt{64, 9},
1044 2,
1045 -APInt{64, 1});
1046
1047 // Multiword dividend with only one significant word.
1048 testDiv(APInt{256, 9},
1049 2,
1050 APInt{256, 1});
1051
1052 // Negative dividend.
1053 testDiv(-APInt{256, 9},
1054 2,
1055 -APInt{256, 1});
1056
1057 // Multiword dividend
1058 testDiv(APInt{1024, 19}.shl(811),
1059 4356013, // one word
1060 APInt{1024, 1});
1061 }
1062
1063 TEST(APIntTest, divrem_simple) {
1064 // Test simple cases.
1065 APInt A(65, 2), B(65, 2);
1066 APInt Q, R;
1067
1068 // X / X
1069 APInt::sdivrem(A, B, Q, R);
1070 EXPECT_EQ(Q, APInt(65, 1));
1071 EXPECT_EQ(R, APInt(65, 0));
1072 APInt::udivrem(A, B, Q, R);
1073 EXPECT_EQ(Q, APInt(65, 1));
1074 EXPECT_EQ(R, APInt(65, 0));
1075
1076 // 0 / X
1077 APInt O(65, 0);
1078 APInt::sdivrem(O, B, Q, R);
1079 EXPECT_EQ(Q, APInt(65, 0));
1080 EXPECT_EQ(R, APInt(65, 0));
1081 APInt::udivrem(O, B, Q, R);
1082 EXPECT_EQ(Q, APInt(65, 0));
1083 EXPECT_EQ(R, APInt(65, 0));
1084
1085 // X / 1
1086 APInt I(65, 1);
1087 APInt::sdivrem(A, I, Q, R);
1088 EXPECT_EQ(Q, A);
1089 EXPECT_EQ(R, APInt(65, 0));
1090 APInt::udivrem(A, I, Q, R);
1091 EXPECT_EQ(Q, A);
1092 EXPECT_EQ(R, APInt(65, 0));
1093 }
1094
1095 TEST(APIntTest, fromString) {
1096 EXPECT_EQ(APInt(32, 0), APInt(32, "0", 2));
1097 EXPECT_EQ(APInt(32, 1), APInt(32, "1", 2));
1098 EXPECT_EQ(APInt(32, 2), APInt(32, "10", 2));
1099 EXPECT_EQ(APInt(32, 3), APInt(32, "11", 2));
1100 EXPECT_EQ(APInt(32, 4), APInt(32, "100", 2));
1101
1102 EXPECT_EQ(APInt(32, 0), APInt(32, "+0", 2));
1103 EXPECT_EQ(APInt(32, 1), APInt(32, "+1", 2));
1104 EXPECT_EQ(APInt(32, 2), APInt(32, "+10", 2));
1105 EXPECT_EQ(APInt(32, 3), APInt(32, "+11", 2));
1106 EXPECT_EQ(APInt(32, 4), APInt(32, "+100", 2));
1107
1108 EXPECT_EQ(APInt(32, uint64_t(-0LL)), APInt(32, "-0", 2));
1109 EXPECT_EQ(APInt(32, uint64_t(-1LL)), APInt(32, "-1", 2));
1110 EXPECT_EQ(APInt(32, uint64_t(-2LL)), APInt(32, "-10", 2));
1111 EXPECT_EQ(APInt(32, uint64_t(-3LL)), APInt(32, "-11", 2));
1112 EXPECT_EQ(APInt(32, uint64_t(-4LL)), APInt(32, "-100", 2));
1113
1114 EXPECT_EQ(APInt(32, 0), APInt(32, "0", 8));
1115 EXPECT_EQ(APInt(32, 1), APInt(32, "1", 8));
1116 EXPECT_EQ(APInt(32, 7), APInt(32, "7", 8));
1117 EXPECT_EQ(APInt(32, 8), APInt(32, "10", 8));
1118 EXPECT_EQ(APInt(32, 15), APInt(32, "17", 8));
1119 EXPECT_EQ(APInt(32, 16), APInt(32, "20", 8));
1120
1121 EXPECT_EQ(APInt(32, +0), APInt(32, "+0", 8));
1122 EXPECT_EQ(APInt(32, +1), APInt(32, "+1", 8));
1123 EXPECT_EQ(APInt(32, +7), APInt(32, "+7", 8));
1124 EXPECT_EQ(APInt(32, +8), APInt(32, "+10", 8));
1125 EXPECT_EQ(APInt(32, +15), APInt(32, "+17", 8));
1126 EXPECT_EQ(APInt(32, +16), APInt(32, "+20", 8));
1127
1128 EXPECT_EQ(APInt(32, uint64_t(-0LL)), APInt(32, "-0", 8));
1129 EXPECT_EQ(APInt(32, uint64_t(-1LL)), APInt(32, "-1", 8));
1130 EXPECT_EQ(APInt(32, uint64_t(-7LL)), APInt(32, "-7", 8));
1131 EXPECT_EQ(APInt(32, uint64_t(-8LL)), APInt(32, "-10", 8));
1132 EXPECT_EQ(APInt(32, uint64_t(-15LL)), APInt(32, "-17", 8));
1133 EXPECT_EQ(APInt(32, uint64_t(-16LL)), APInt(32, "-20", 8));
1134
1135 EXPECT_EQ(APInt(32, 0), APInt(32, "0", 10));
1136 EXPECT_EQ(APInt(32, 1), APInt(32, "1", 10));
1137 EXPECT_EQ(APInt(32, 9), APInt(32, "9", 10));
1138 EXPECT_EQ(APInt(32, 10), APInt(32, "10", 10));
1139 EXPECT_EQ(APInt(32, 19), APInt(32, "19", 10));
1140 EXPECT_EQ(APInt(32, 20), APInt(32, "20", 10));
1141
1142 EXPECT_EQ(APInt(32, uint64_t(-0LL)), APInt(32, "-0", 10));
1143 EXPECT_EQ(APInt(32, uint64_t(-1LL)), APInt(32, "-1", 10));
1144 EXPECT_EQ(APInt(32, uint64_t(-9LL)), APInt(32, "-9", 10));
1145 EXPECT_EQ(APInt(32, uint64_t(-10LL)), APInt(32, "-10", 10));
1146 EXPECT_EQ(APInt(32, uint64_t(-19LL)), APInt(32, "-19", 10));
1147 EXPECT_EQ(APInt(32, uint64_t(-20LL)), APInt(32, "-20", 10));
1148
1149 EXPECT_EQ(APInt(32, 0), APInt(32, "0", 16));
1150 EXPECT_EQ(APInt(32, 1), APInt(32, "1", 16));
1151 EXPECT_EQ(APInt(32, 15), APInt(32, "F", 16));
1152 EXPECT_EQ(APInt(32, 16), APInt(32, "10", 16));
1153 EXPECT_EQ(APInt(32, 31), APInt(32, "1F", 16));
1154 EXPECT_EQ(APInt(32, 32), APInt(32, "20", 16));
1155
1156 EXPECT_EQ(APInt(32, uint64_t(-0LL)), APInt(32, "-0", 16));
1157 EXPECT_EQ(APInt(32, uint64_t(-1LL)), APInt(32, "-1", 16));
1158 EXPECT_EQ(APInt(32, uint64_t(-15LL)), APInt(32, "-F", 16));
1159 EXPECT_EQ(APInt(32, uint64_t(-16LL)), APInt(32, "-10", 16));
1160 EXPECT_EQ(APInt(32, uint64_t(-31LL)), APInt(32, "-1F", 16));
1161 EXPECT_EQ(APInt(32, uint64_t(-32LL)), APInt(32, "-20", 16));
1162
1163 EXPECT_EQ(APInt(32, 0), APInt(32, "0", 36));
1164 EXPECT_EQ(APInt(32, 1), APInt(32, "1", 36));
1165 EXPECT_EQ(APInt(32, 35), APInt(32, "Z", 36));
1166 EXPECT_EQ(APInt(32, 36), APInt(32, "10", 36));
1167 EXPECT_EQ(APInt(32, 71), APInt(32, "1Z", 36));
1168 EXPECT_EQ(APInt(32, 72), APInt(32, "20", 36));
1169
1170 EXPECT_EQ(APInt(32, uint64_t(-0LL)), APInt(32, "-0", 36));
1171 EXPECT_EQ(APInt(32, uint64_t(-1LL)), APInt(32, "-1", 36));
1172 EXPECT_EQ(APInt(32, uint64_t(-35LL)), APInt(32, "-Z", 36));
1173 EXPECT_EQ(APInt(32, uint64_t(-36LL)), APInt(32, "-10", 36));
1174 EXPECT_EQ(APInt(32, uint64_t(-71LL)), APInt(32, "-1Z", 36));
1175 EXPECT_EQ(APInt(32, uint64_t(-72LL)), APInt(32, "-20", 36));
1176 }
1177
1178 TEST(APIntTest, SaturatingMath) {
1179 APInt AP_10 = APInt(8, 10);
1180 APInt AP_100 = APInt(8, 100);
1181 APInt AP_200 = APInt(8, 200);
1182
1183 EXPECT_EQ(APInt(8, 200), AP_100.uadd_sat(AP_100));
1184 EXPECT_EQ(APInt(8, 255), AP_100.uadd_sat(AP_200));
1185 EXPECT_EQ(APInt(8, 255), APInt(8, 255).uadd_sat(APInt(8, 255)));
1186
1187 EXPECT_EQ(APInt(8, 110), AP_10.sadd_sat(AP_100));
1188 EXPECT_EQ(APInt(8, 127), AP_100.sadd_sat(AP_100));
1189 EXPECT_EQ(APInt(8, -128), (-AP_100).sadd_sat(-AP_100));
1190 EXPECT_EQ(APInt(8, -128), APInt(8, -128).sadd_sat(APInt(8, -128)));
1191
1192 EXPECT_EQ(APInt(8, 90), AP_100.usub_sat(AP_10));
1193 EXPECT_EQ(APInt(8, 0), AP_100.usub_sat(AP_200));
1194 EXPECT_EQ(APInt(8, 0), APInt(8, 0).usub_sat(APInt(8, 255)));
1195
1196 EXPECT_EQ(APInt(8, -90), AP_10.ssub_sat(AP_100));
1197 EXPECT_EQ(APInt(8, 127), AP_100.ssub_sat(-AP_100));
1198 EXPECT_EQ(APInt(8, -128), (-AP_100).ssub_sat(AP_100));
1199 EXPECT_EQ(APInt(8, -128), APInt(8, -128).ssub_sat(APInt(8, 127)));
1200 }
1201
1202 TEST(APIntTest, FromArray) {
1203 EXPECT_EQ(APInt(32, uint64_t(1)), APInt(32, ArrayRef<uint64_t>(1)));
1204 }
1205
1206 TEST(APIntTest, StringBitsNeeded2) {
1207 EXPECT_EQ(1U, APInt::getBitsNeeded( "0", 2));
1208 EXPECT_EQ(1U, APInt::getBitsNeeded( "1", 2));
1209 EXPECT_EQ(2U, APInt::getBitsNeeded( "10", 2));
1210 EXPECT_EQ(2U, APInt::getBitsNeeded( "11", 2));
1211 EXPECT_EQ(3U, APInt::getBitsNeeded("100", 2));
1212
1213 EXPECT_EQ(1U, APInt::getBitsNeeded( "+0", 2));
1214 EXPECT_EQ(1U, APInt::getBitsNeeded( "+1", 2));
1215 EXPECT_EQ(2U, APInt::getBitsNeeded( "+10", 2));
1216 EXPECT_EQ(2U, APInt::getBitsNeeded( "+11", 2));
1217 EXPECT_EQ(3U, APInt::getBitsNeeded("+100", 2));
1218
1219 EXPECT_EQ(2U, APInt::getBitsNeeded( "-0", 2));
1220 EXPECT_EQ(2U, APInt::getBitsNeeded( "-1", 2));
1221 EXPECT_EQ(3U, APInt::getBitsNeeded( "-10", 2));
1222 EXPECT_EQ(3U, APInt::getBitsNeeded( "-11", 2));
1223 EXPECT_EQ(4U, APInt::getBitsNeeded("-100", 2));
1224 }
1225
1226 TEST(APIntTest, StringBitsNeeded8) {
1227 EXPECT_EQ(3U, APInt::getBitsNeeded( "0", 8));
1228 EXPECT_EQ(3U, APInt::getBitsNeeded( "7", 8));
1229 EXPECT_EQ(6U, APInt::getBitsNeeded("10", 8));
1230 EXPECT_EQ(6U, APInt::getBitsNeeded("17", 8));
1231 EXPECT_EQ(6U, APInt::getBitsNeeded("20", 8));
1232
1233 EXPECT_EQ(3U, APInt::getBitsNeeded( "+0", 8));
1234 EXPECT_EQ(3U, APInt::getBitsNeeded( "+7", 8));
1235 EXPECT_EQ(6U, APInt::getBitsNeeded("+10", 8));
1236 EXPECT_EQ(6U, APInt::getBitsNeeded("+17", 8));
1237 EXPECT_EQ(6U, APInt::getBitsNeeded("+20", 8));
1238
1239 EXPECT_EQ(4U, APInt::getBitsNeeded( "-0", 8));
1240 EXPECT_EQ(4U, APInt::getBitsNeeded( "-7", 8));
1241 EXPECT_EQ(7U, APInt::getBitsNeeded("-10", 8));
1242 EXPECT_EQ(7U, APInt::getBitsNeeded("-17", 8));
1243 EXPECT_EQ(7U, APInt::getBitsNeeded("-20", 8));
1244 }
1245
1246 TEST(APIntTest, StringBitsNeeded10) {
1247 EXPECT_EQ(1U, APInt::getBitsNeeded( "0", 10));
1248 EXPECT_EQ(2U, APInt::getBitsNeeded( "3", 10));
1249 EXPECT_EQ(4U, APInt::getBitsNeeded( "9", 10));
1250 EXPECT_EQ(4U, APInt::getBitsNeeded("10", 10));
1251 EXPECT_EQ(5U, APInt::getBitsNeeded("19", 10));
1252 EXPECT_EQ(5U, APInt::getBitsNeeded("20", 10));
1253
1254 EXPECT_EQ(1U, APInt::getBitsNeeded( "+0", 10));
1255 EXPECT_EQ(4U, APInt::getBitsNeeded( "+9", 10));
1256 EXPECT_EQ(4U, APInt::getBitsNeeded("+10", 10));
1257 EXPECT_EQ(5U, APInt::getBitsNeeded("+19", 10));
1258 EXPECT_EQ(5U, APInt::getBitsNeeded("+20", 10));
1259
1260 EXPECT_EQ(2U, APInt::getBitsNeeded( "-0", 10));
1261 EXPECT_EQ(5U, APInt::getBitsNeeded( "-9", 10));
1262 EXPECT_EQ(5U, APInt::getBitsNeeded("-10", 10));
1263 EXPECT_EQ(6U, APInt::getBitsNeeded("-19", 10));
1264 EXPECT_EQ(6U, APInt::getBitsNeeded("-20", 10));
1265
1266 EXPECT_EQ(1U, APInt::getBitsNeeded("-1", 10));
1267 EXPECT_EQ(2U, APInt::getBitsNeeded("-2", 10));
1268 EXPECT_EQ(3U, APInt::getBitsNeeded("-4", 10));
1269 EXPECT_EQ(4U, APInt::getBitsNeeded("-8", 10));
1270 EXPECT_EQ(5U, APInt::getBitsNeeded("-16", 10));
1271 EXPECT_EQ(6U, APInt::getBitsNeeded("-23", 10));
1272 EXPECT_EQ(6U, APInt::getBitsNeeded("-32", 10));
1273 EXPECT_EQ(7U, APInt::getBitsNeeded("-64", 10));
1274 EXPECT_EQ(8U, APInt::getBitsNeeded("-127", 10));
1275 EXPECT_EQ(8U, APInt::getBitsNeeded("-128", 10));
1276 EXPECT_EQ(9U, APInt::getBitsNeeded("-255", 10));
1277 EXPECT_EQ(9U, APInt::getBitsNeeded("-256", 10));
1278 EXPECT_EQ(10U, APInt::getBitsNeeded("-512", 10));
1279 EXPECT_EQ(11U, APInt::getBitsNeeded("-1024", 10));
1280 EXPECT_EQ(12U, APInt::getBitsNeeded("-1025", 10));
1281 }
1282
1283 TEST(APIntTest, StringBitsNeeded16) {
1284 EXPECT_EQ(4U, APInt::getBitsNeeded( "0", 16));
1285 EXPECT_EQ(4U, APInt::getBitsNeeded( "F", 16));
1286 EXPECT_EQ(8U, APInt::getBitsNeeded("10", 16));
1287 EXPECT_EQ(8U, APInt::getBitsNeeded("1F", 16));
1288 EXPECT_EQ(8U, APInt::getBitsNeeded("20", 16));
1289
1290 EXPECT_EQ(4U, APInt::getBitsNeeded( "+0", 16));
1291 EXPECT_EQ(4U, APInt::getBitsNeeded( "+F", 16));
1292 EXPECT_EQ(8U, APInt::getBitsNeeded("+10", 16));
1293 EXPECT_EQ(8U, APInt::getBitsNeeded("+1F", 16));
1294 EXPECT_EQ(8U, APInt::getBitsNeeded("+20", 16));
1295
1296 EXPECT_EQ(5U, APInt::getBitsNeeded( "-0", 16));
1297 EXPECT_EQ(5U, APInt::getBitsNeeded( "-F", 16));
1298 EXPECT_EQ(9U, APInt::getBitsNeeded("-10", 16));
1299 EXPECT_EQ(9U, APInt::getBitsNeeded("-1F", 16));
1300 EXPECT_EQ(9U, APInt::getBitsNeeded("-20", 16));
1301 }
1302
1303 TEST(APIntTest, toString) {
1304 SmallString<16> S;
1305 bool isSigned;
1306
1307 APInt(8, 0).toString(S, 2, true, true);
1308 EXPECT_EQ(S.str().str(), "0b0");
1309 S.clear();
1310 APInt(8, 0).toString(S, 8, true, true);
1311 EXPECT_EQ(S.str().str(), "00");
1312 S.clear();
1313 APInt(8, 0).toString(S, 10, true, true);
1314 EXPECT_EQ(S.str().str(), "0");
1315 S.clear();
1316 APInt(8, 0).toString(S, 16, true, true);
1317 EXPECT_EQ(S.str().str(), "0x0");
1318 S.clear();
1319 APInt(8, 0).toString(S, 36, true, false);
1320 EXPECT_EQ(S.str().str(), "0");
1321 S.clear();
1322
1323 isSigned = false;
1324 APInt(8, 255, isSigned).toString(S, 2, isSigned, true);
1325 EXPECT_EQ(S.str().str(), "0b11111111");
1326 S.clear();
1327 APInt(8, 255, isSigned).toString(S, 8, isSigned, true);
1328 EXPECT_EQ(S.str().str(), "0377");
1329 S.clear();
1330 APInt(8, 255, isSigned).toString(S, 10, isSigned, true);
1331 EXPECT_EQ(S.str().str(), "255");
1332 S.clear();
1333 APInt(8, 255, isSigned).toString(S, 16, isSigned, true);
1334 EXPECT_EQ(S.str().str(), "0xFF");
1335 S.clear();
1336 APInt(8, 255, isSigned).toString(S, 36, isSigned, false);
1337 EXPECT_EQ(S.str().str(), "73");
1338 S.clear();
1339
1340 isSigned = true;
1341 APInt(8, 255, isSigned).toString(S, 2, isSigned, true);
1342 EXPECT_EQ(S.str().str(), "-0b1");
1343 S.clear();
1344 APInt(8, 255, isSigned).toString(S, 8, isSigned, true);
1345 EXPECT_EQ(S.str().str(), "-01");
1346 S.clear();
1347 APInt(8, 255, isSigned).toString(S, 10, isSigned, true);
1348 EXPECT_EQ(S.str().str(), "-1");
1349 S.clear();
1350 APInt(8, 255, isSigned).toString(S, 16, isSigned, true);
1351 EXPECT_EQ(S.str().str(), "-0x1");
1352 S.clear();
1353 APInt(8, 255, isSigned).toString(S, 36, isSigned, false);
1354 EXPECT_EQ(S.str().str(), "-1");
1355 S.clear();
1356 }
1357
1358 TEST(APIntTest, Log2) {
1359 EXPECT_EQ(APInt(15, 7).logBase2(), 2U);
1360 EXPECT_EQ(APInt(15, 7).ceilLogBase2(), 3U);
1361 EXPECT_EQ(APInt(15, 7).exactLogBase2(), -1);
1362 EXPECT_EQ(APInt(15, 8).logBase2(), 3U);
1363 EXPECT_EQ(APInt(15, 8).ceilLogBase2(), 3U);
1364 EXPECT_EQ(APInt(15, 8).exactLogBase2(), 3);
1365 EXPECT_EQ(APInt(15, 9).logBase2(), 3U);
1366 EXPECT_EQ(APInt(15, 9).ceilLogBase2(), 4U);
1367 EXPECT_EQ(APInt(15, 9).exactLogBase2(), -1);
1368 }
1369
1370 TEST(APIntTest, magic) {
1371 EXPECT_EQ(APInt(32, 3).magic().m, APInt(32, "55555556", 16));
1372 EXPECT_EQ(APInt(32, 3).magic().s, 0U);
1373 EXPECT_EQ(APInt(32, 5).magic().m, APInt(32, "66666667", 16));
1374 EXPECT_EQ(APInt(32, 5).magic().s, 1U);
1375 EXPECT_EQ(APInt(32, 7).magic().m, APInt(32, "92492493", 16));
1376 EXPECT_EQ(APInt(32, 7).magic().s, 2U);
1377 }
1378
1379 TEST(APIntTest, magicu) {
1380 EXPECT_EQ(APInt(32, 3).magicu().m, APInt(32, "AAAAAAAB", 16));
1381 EXPECT_EQ(APInt(32, 3).magicu().s, 1U);
1382 EXPECT_EQ(APInt(32, 5).magicu().m, APInt(32, "CCCCCCCD", 16));
1383 EXPECT_EQ(APInt(32, 5).magicu().s, 2U);
1384 EXPECT_EQ(APInt(32, 7).magicu().m, APInt(32, "24924925", 16));
1385 EXPECT_EQ(APInt(32, 7).magicu().s, 3U);
1386 EXPECT_EQ(APInt(64, 25).magicu(1).m, APInt(64, "A3D70A3D70A3D70B", 16));
1387 EXPECT_EQ(APInt(64, 25).magicu(1).s, 4U);
1388 }
1389
1390 #ifdef GTEST_HAS_DEATH_TEST
1391 #ifndef NDEBUG
1392 TEST(APIntTest, StringDeath) {
1393 EXPECT_DEATH((void)APInt(0, "", 0), "Bitwidth too small");
1394 EXPECT_DEATH((void)APInt(32, "", 0), "Invalid string length");
1395 EXPECT_DEATH((void)APInt(32, "0", 0), "Radix should be 2, 8, 10, 16, or 36!");
1396 EXPECT_DEATH((void)APInt(32, "", 10), "Invalid string length");
1397 EXPECT_DEATH((void)APInt(32, "-", 10), "String is only a sign, needs a value.");
1398 EXPECT_DEATH((void)APInt(1, "1234", 10), "Insufficient bit width");
1399 EXPECT_DEATH((void)APInt(32, "\0", 10), "Invalid string length");
1400 EXPECT_DEATH((void)APInt(32, StringRef("1\02", 3), 10), "Invalid character in digit string");
1401 EXPECT_DEATH((void)APInt(32, "1L", 10), "Invalid character in digit string");
1402 }
1403 #endif
1404 #endif
1405
1406 TEST(APIntTest, mul_clear) {
1407 APInt ValA(65, -1ULL);
1408 APInt ValB(65, 4);
1409 APInt ValC(65, 0);
1410 ValC = ValA * ValB;
1411 ValA *= ValB;
1412 EXPECT_EQ(ValA.toString(10, false), ValC.toString(10, false));
1413 }
1414
1415 TEST(APIntTest, Rotate) {
1416 EXPECT_EQ(APInt(8, 1), APInt(8, 1).rotl(0));
1417 EXPECT_EQ(APInt(8, 2), APInt(8, 1).rotl(1));
1418 EXPECT_EQ(APInt(8, 4), APInt(8, 1).rotl(2));
1419 EXPECT_EQ(APInt(8, 16), APInt(8, 1).rotl(4));
1420 EXPECT_EQ(APInt(8, 1), APInt(8, 1).rotl(8));
1421
1422 EXPECT_EQ(APInt(8, 16), APInt(8, 16).rotl(0));
1423 EXPECT_EQ(APInt(8, 32), APInt(8, 16).rotl(1));
1424 EXPECT_EQ(APInt(8, 64), APInt(8, 16).rotl(2));
1425 EXPECT_EQ(APInt(8, 1), APInt(8, 16).rotl(4));
1426 EXPECT_EQ(APInt(8, 16), APInt(8, 16).rotl(8));
1427
1428 EXPECT_EQ(APInt(32, 2), APInt(32, 1).rotl(33));
1429 EXPECT_EQ(APInt(32, 2), APInt(32, 1).rotl(APInt(32, 33)));
1430
1431 EXPECT_EQ(APInt(32, 2), APInt(32, 1).rotl(33));
1432 EXPECT_EQ(APInt(32, 2), APInt(32, 1).rotl(APInt(32, 33)));
1433 EXPECT_EQ(APInt(32, 2), APInt(32, 1).rotl(APInt(33, 33)));
1434 EXPECT_EQ(APInt(32, (1 << 8)), APInt(32, 1).rotl(APInt(32, 40)));
1435 EXPECT_EQ(APInt(32, (1 << 30)), APInt(32, 1).rotl(APInt(31, 30)));
1436 EXPECT_EQ(APInt(32, (1 << 31)), APInt(32, 1).rotl(APInt(31, 31)));
1437
1438 EXPECT_EQ(APInt(32, 1), APInt(32, 1).rotl(APInt(1, 0)));
1439 EXPECT_EQ(APInt(32, 2), APInt(32, 1).rotl(APInt(1, 1)));
1440
1441 EXPECT_EQ(APInt(32, 16), APInt(32, 1).rotl(APInt(3, 4)));
1442
1443 EXPECT_EQ(APInt(32, 1), APInt(32, 1).rotl(APInt(64, 64)));
1444 EXPECT_EQ(APInt(32, 2), APInt(32, 1).rotl(APInt(64, 65)));
1445
1446 EXPECT_EQ(APInt(7, 24), APInt(7, 3).rotl(APInt(7, 3)));
1447 EXPECT_EQ(APInt(7, 24), APInt(7, 3).rotl(APInt(7, 10)));
1448 EXPECT_EQ(APInt(7, 24), APInt(7, 3).rotl(APInt(5, 10)));
1449 EXPECT_EQ(APInt(7, 6), APInt(7, 3).rotl(APInt(12, 120)));
1450
1451 EXPECT_EQ(APInt(8, 16), APInt(8, 16).rotr(0));
1452 EXPECT_EQ(APInt(8, 8), APInt(8, 16).rotr(1));
1453 EXPECT_EQ(APInt(8, 4), APInt(8, 16).rotr(2));
1454 EXPECT_EQ(APInt(8, 1), APInt(8, 16).rotr(4));
1455 EXPECT_EQ(APInt(8, 16), APInt(8, 16).rotr(8));
1456
1457 EXPECT_EQ(APInt(8, 1), APInt(8, 1).rotr(0));
1458 EXPECT_EQ(APInt(8, 128), APInt(8, 1).rotr(1));
1459 EXPECT_EQ(APInt(8, 64), APInt(8, 1).rotr(2));
1460 EXPECT_EQ(APInt(8, 16), APInt(8, 1).rotr(4));
1461 EXPECT_EQ(APInt(8, 1), APInt(8, 1).rotr(8));
1462
1463 EXPECT_EQ(APInt(32, (1 << 31)), APInt(32, 1).rotr(33));
1464 EXPECT_EQ(APInt(32, (1 << 31)), APInt(32, 1).rotr(APInt(32, 33)));
1465
1466 EXPECT_EQ(APInt(32, (1 << 31)), APInt(32, 1).rotr(33));
1467 EXPECT_EQ(APInt(32, (1 << 31)), APInt(32, 1).rotr(APInt(32, 33)));
1468 EXPECT_EQ(APInt(32, (1 << 31)), APInt(32, 1).rotr(APInt(33, 33)));
1469 EXPECT_EQ(APInt(32, (1 << 24)), APInt(32, 1).rotr(APInt(32, 40)));
1470
1471 EXPECT_EQ(APInt(32, (1 << 2)), APInt(32, 1).rotr(APInt(31, 30)));
1472 EXPECT_EQ(APInt(32, (1 << 1)), APInt(32, 1).rotr(APInt(31, 31)));
1473
1474 EXPECT_EQ(APInt(32, 1), APInt(32, 1).rotr(APInt(1, 0)));
1475 EXPECT_EQ(APInt(32, (1 << 31)), APInt(32, 1).rotr(APInt(1, 1)));
1476
1477 EXPECT_EQ(APInt(32, (1 << 28)), APInt(32, 1).rotr(APInt(3, 4)));
1478
1479 EXPECT_EQ(APInt(32, 1), APInt(32, 1).rotr(APInt(64, 64)));
1480 EXPECT_EQ(APInt(32, (1 << 31)), APInt(32, 1).rotr(APInt(64, 65)));
1481
1482 EXPECT_EQ(APInt(7, 48), APInt(7, 3).rotr(APInt(7, 3)));
1483 EXPECT_EQ(APInt(7, 48), APInt(7, 3).rotr(APInt(7, 10)));
1484 EXPECT_EQ(APInt(7, 48), APInt(7, 3).rotr(APInt(5, 10)));
1485 EXPECT_EQ(APInt(7, 65), APInt(7, 3).rotr(APInt(12, 120)));
1486
1487 APInt Big(256, "00004000800000000000000000003fff8000000000000003", 16);
1488 APInt Rot(256, "3fff80000000000000030000000000000000000040008000", 16);
1489 EXPECT_EQ(Rot, Big.rotr(144));
1490
1491 EXPECT_EQ(APInt(32, 8), APInt(32, 1).rotl(Big));
1492 EXPECT_EQ(APInt(32, (1 << 29)), APInt(32, 1).rotr(Big));
1493 }
1494
1495 TEST(APIntTest, Splat) {
1496 APInt ValA(8, 0x01);
1497 EXPECT_EQ(ValA, APInt::getSplat(8, ValA));
1498 EXPECT_EQ(APInt(64, 0x0101010101010101ULL), APInt::getSplat(64, ValA));
1499
1500 APInt ValB(3, 5);
1501 EXPECT_EQ(APInt(4, 0xD), APInt::getSplat(4, ValB));
1502 EXPECT_EQ(APInt(15, 0xDB6D), APInt::getSplat(15, ValB));
1503 }
1504
1505 TEST(APIntTest, tcDecrement) {
1506 // Test single word decrement.
1507
1508 // No out borrow.
1509 {
1510 APInt::WordType singleWord = ~APInt::WordType(0) << (APInt::APINT_BITS_PER_WORD - 1);
1511 APInt::WordType carry = APInt::tcDecrement(&singleWord, 1);
1512 EXPECT_EQ(carry, APInt::WordType(0));
1513 EXPECT_EQ(singleWord, ~APInt::WordType(0) >> 1);
1514 }
1515
1516 // With out borrow.
1517 {
1518 APInt::WordType singleWord = 0;
1519 APInt::WordType carry = APInt::tcDecrement(&singleWord, 1);
1520 EXPECT_EQ(carry, APInt::WordType(1));
1521 EXPECT_EQ(singleWord, ~APInt::WordType(0));
1522 }
1523
1524 // Test multiword decrement.
1525
1526 // No across word borrow, no out borrow.
1527 {
1528 APInt::WordType test[4] = {0x1, 0x1, 0x1, 0x1};
1529 APInt::WordType expected[4] = {0x0, 0x1, 0x1, 0x1};
1530 APInt::tcDecrement(test, 4);
1531 EXPECT_EQ(APInt::tcCompare(test, expected, 4), 0);
1532 }
1533
1534 // 1 across word borrow, no out borrow.
1535 {
1536 APInt::WordType test[4] = {0x0, 0xF, 0x1, 0x1};
1537 APInt::WordType expected[4] = {~APInt::WordType(0), 0xE, 0x1, 0x1};
1538 APInt::WordType carry = APInt::tcDecrement(test, 4);
1539 EXPECT_EQ(carry, APInt::WordType(0));
1540 EXPECT_EQ(APInt::tcCompare(test, expected, 4), 0);
1541 }
1542
1543 // 2 across word borrow, no out borrow.
1544 {
1545 APInt::WordType test[4] = {0x0, 0x0, 0xC, 0x1};
1546 APInt::WordType expected[4] = {~APInt::WordType(0), ~APInt::WordType(0), 0xB, 0x1};
1547 APInt::WordType carry = APInt::tcDecrement(test, 4);
1548 EXPECT_EQ(carry, APInt::WordType(0));
1549 EXPECT_EQ(APInt::tcCompare(test, expected, 4), 0);
1550 }
1551
1552 // 3 across word borrow, no out borrow.
1553 {
1554 APInt::WordType test[4] = {0x0, 0x0, 0x0, 0x1};
1555 APInt::WordType expected[4] = {~APInt::WordType(0), ~APInt::WordType(0), ~APInt::WordType(0), 0x0};
1556 APInt::WordType carry = APInt::tcDecrement(test, 4);
1557 EXPECT_EQ(carry, APInt::WordType(0));
1558 EXPECT_EQ(APInt::tcCompare(test, expected, 4), 0);
1559 }
1560
1561 // 3 across word borrow, with out borrow.
1562 {
1563 APInt::WordType test[4] = {0x0, 0x0, 0x0, 0x0};
1564 APInt::WordType expected[4] = {~APInt::WordType(0), ~APInt::WordType(0), ~APInt::WordType(0), ~APInt::WordType(0)};
1565 APInt::WordType carry = APInt::tcDecrement(test, 4);
1566 EXPECT_EQ(carry, APInt::WordType(1));
1567 EXPECT_EQ(APInt::tcCompare(test, expected, 4), 0);
1568 }
1569 }
1570
1571 TEST(APIntTest, arrayAccess) {
1572 // Single word check.
1573 uint64_t E1 = 0x2CA7F46BF6569915ULL;
1574 APInt A1(64, E1);
1575 for (unsigned i = 0, e = 64; i < e; ++i) {
1576 EXPECT_EQ(bool(E1 & (1ULL << i)),
1577 A1[i]);
1578 }
1579
1580 // Multiword check.
1581 APInt::WordType E2[4] = {
1582 0xEB6EB136591CBA21ULL,
1583 0x7B9358BD6A33F10AULL,
1584 0x7E7FFA5EADD8846ULL,
1585 0x305F341CA00B613DULL
1586 };
1587 APInt A2(APInt::APINT_BITS_PER_WORD*4, E2);
1588 for (unsigned i = 0; i < 4; ++i) {
1589 for (unsigned j = 0; j < APInt::APINT_BITS_PER_WORD; ++j) {
1590 EXPECT_EQ(bool(E2[i] & (1ULL << j)),
1591 A2[i*APInt::APINT_BITS_PER_WORD + j]);
1592 }
1593 }
1594 }
1595
1596 TEST(APIntTest, LargeAPIntConstruction) {
1597 // Check that we can properly construct very large APInt. It is very
1598 // unlikely that people will ever do this, but it is a legal input,
1599 // so we should not crash on it.
1600 APInt A9(UINT32_MAX, 0);
1601 EXPECT_FALSE(A9.getBoolValue());
1602 }
1603
1604 TEST(APIntTest, nearestLogBase2) {
1605 // Single word check.
1606
1607 // Test round up.
1608 uint64_t I1 = 0x1800001;
1609 APInt A1(64, I1);
1610 EXPECT_EQ(A1.nearestLogBase2(), A1.ceilLogBase2());
1611
1612 // Test round down.
1613 uint64_t I2 = 0x1000011;
1614 APInt A2(64, I2);
1615 EXPECT_EQ(A2.nearestLogBase2(), A2.logBase2());
1616
1617 // Test ties round up.
1618 uint64_t I3 = 0x1800000;
1619 APInt A3(64, I3);
1620 EXPECT_EQ(A3.nearestLogBase2(), A3.ceilLogBase2());
1621
1622 // Multiple word check.
1623
1624 // Test round up.
1625 APInt::WordType I4[4] = {0x0, 0xF, 0x18, 0x0};
1626 APInt A4(APInt::APINT_BITS_PER_WORD*4, I4);
1627 EXPECT_EQ(A4.nearestLogBase2(), A4.ceilLogBase2());
1628
1629 // Test round down.
1630 APInt::WordType I5[4] = {0x0, 0xF, 0x10, 0x0};
1631 APInt A5(APInt::APINT_BITS_PER_WORD*4, I5);
1632 EXPECT_EQ(A5.nearestLogBase2(), A5.logBase2());
1633
1634 // Test ties round up.
1635 uint64_t I6[4] = {0x0, 0x0, 0x0, 0x18};
1636 APInt A6(APInt::APINT_BITS_PER_WORD*4, I6);
1637 EXPECT_EQ(A6.nearestLogBase2(), A6.ceilLogBase2());
1638
1639 // Test BitWidth == 1 special cases.
1640 APInt A7(1, 1);
1641 EXPECT_EQ(A7.nearestLogBase2(), 0ULL);
1642 APInt A8(1, 0);
1643 EXPECT_EQ(A8.nearestLogBase2(), UINT32_MAX);
1644
1645 // Test the zero case when we have a bit width large enough such
1646 // that the bit width is larger than UINT32_MAX-1.
1647 APInt A9(UINT32_MAX, 0);
1648 EXPECT_EQ(A9.nearestLogBase2(), UINT32_MAX);
1649 }
1650
1651 TEST(APIntTest, IsSplat) {
1652 APInt A(32, 0x01010101);
1653 EXPECT_FALSE(A.isSplat(1));
1654 EXPECT_FALSE(A.isSplat(2));
1655 EXPECT_FALSE(A.isSplat(4));
1656 EXPECT_TRUE(A.isSplat(8));
1657 EXPECT_TRUE(A.isSplat(16));
1658 EXPECT_TRUE(A.isSplat(32));
1659
1660 APInt B(24, 0xAAAAAA);
1661 EXPECT_FALSE(B.isSplat(1));
1662 EXPECT_TRUE(B.isSplat(2));
1663 EXPECT_TRUE(B.isSplat(4));
1664 EXPECT_TRUE(B.isSplat(8));
1665 EXPECT_TRUE(B.isSplat(24));
1666
1667 APInt C(24, 0xABAAAB);
1668 EXPECT_FALSE(C.isSplat(1));
1669 EXPECT_FALSE(C.isSplat(2));
1670 EXPECT_FALSE(C.isSplat(4));
1671 EXPECT_FALSE(C.isSplat(8));
1672 EXPECT_TRUE(C.isSplat(24));
1673
1674 APInt D(32, 0xABBAABBA);
1675 EXPECT_FALSE(D.isSplat(1));
1676 EXPECT_FALSE(D.isSplat(2));
1677 EXPECT_FALSE(D.isSplat(4));
1678 EXPECT_FALSE(D.isSplat(8));
1679 EXPECT_TRUE(D.isSplat(16));
1680 EXPECT_TRUE(D.isSplat(32));
1681
1682 APInt E(32, 0);
1683 EXPECT_TRUE(E.isSplat(1));
1684 EXPECT_TRUE(E.isSplat(2));
1685 EXPECT_TRUE(E.isSplat(4));
1686 EXPECT_TRUE(E.isSplat(8));
1687 EXPECT_TRUE(E.isSplat(16));
1688 EXPECT_TRUE(E.isSplat(32));
1689 }
1690
1691 TEST(APIntTest, isMask) {
1692 EXPECT_FALSE(APInt(32, 0x01010101).isMask());
1693 EXPECT_FALSE(APInt(32, 0xf0000000).isMask());
1694 EXPECT_FALSE(APInt(32, 0xffff0000).isMask());
1695 EXPECT_FALSE(APInt(32, 0xff << 1).isMask());
1696
1697 for (int N : { 1, 2, 3, 4, 7, 8, 16, 32, 64, 127, 128, 129, 256 }) {
1698 EXPECT_FALSE(APInt(N, 0).isMask());
1699
1700 APInt One(N, 1);
1701 for (int I = 1; I <= N; ++I) {
1702 APInt MaskVal = One.shl(I) - 1;
1703 EXPECT_TRUE(MaskVal.isMask());
1704 EXPECT_TRUE(MaskVal.isMask(I));
1705 }
1706 }
1707 }
1708
1709 TEST(APIntTest, isShiftedMask) {
1710 EXPECT_FALSE(APInt(32, 0x01010101).isShiftedMask());
1711 EXPECT_TRUE(APInt(32, 0xf0000000).isShiftedMask());
1712 EXPECT_TRUE(APInt(32, 0xffff0000).isShiftedMask());
1713 EXPECT_TRUE(APInt(32, 0xff << 1).isShiftedMask());
1714
1715 for (int N : { 1, 2, 3, 4, 7, 8, 16, 32, 64, 127, 128, 129, 256 }) {
1716 EXPECT_FALSE(APInt(N, 0).isShiftedMask());
1717
1718 APInt One(N, 1);
1719 for (int I = 1; I < N; ++I) {
1720 APInt MaskVal = One.shl(I) - 1;
1721 EXPECT_TRUE(MaskVal.isShiftedMask());
1722 }
1723 for (int I = 1; I < N - 1; ++I) {
1724 APInt MaskVal = One.shl(I);
1725 EXPECT_TRUE(MaskVal.isShiftedMask());
1726 }
1727 for (int I = 1; I < N; ++I) {
1728 APInt MaskVal = APInt::getHighBitsSet(N, I);
1729 EXPECT_TRUE(MaskVal.isShiftedMask());
1730 }
1731 }
1732 }
1733
1734 // Test that self-move works, but only when we're using MSVC.
1735 #if defined(_MSC_VER)
1736 #if defined(__clang__)
1737 // Disable the pragma warning from versions of Clang without -Wself-move
1738 #pragma clang diagnostic push
1739 #pragma clang diagnostic ignored "-Wunknown-pragmas"
1740 // Disable the warning that triggers on exactly what is being tested.
1741 #pragma clang diagnostic push
1742 #pragma clang diagnostic ignored "-Wself-move"
1743 #endif
1744 TEST(APIntTest, SelfMoveAssignment) {
1745 APInt X(32, 0xdeadbeef);
1746 X = std::move(X);
1747 EXPECT_EQ(32u, X.getBitWidth());
1748 EXPECT_EQ(0xdeadbeefULL, X.getLimitedValue());
1749
1750 uint64_t Bits[] = {0xdeadbeefdeadbeefULL, 0xdeadbeefdeadbeefULL};
1751 APInt Y(128, Bits);
1752 Y = std::move(Y);
1753 EXPECT_EQ(128u, Y.getBitWidth());
1754 EXPECT_EQ(~0ULL, Y.getLimitedValue());
1755 const uint64_t *Raw = Y.getRawData();
1756 EXPECT_EQ(2u, Y.getNumWords());
1757 EXPECT_EQ(0xdeadbeefdeadbeefULL, Raw[0]);
1758 EXPECT_EQ(0xdeadbeefdeadbeefULL, Raw[1]);
1759 }
1760 #if defined(__clang__)
1761 #pragma clang diagnostic pop
1762 #pragma clang diagnostic pop
1763 #endif
1764 #endif // _MSC_VER
1765
1766 TEST(APIntTest, reverseBits) {
1767 EXPECT_EQ(1, APInt(1, 1).reverseBits());
1768 EXPECT_EQ(0, APInt(1, 0).reverseBits());
1769
1770 EXPECT_EQ(3, APInt(2, 3).reverseBits());
1771 EXPECT_EQ(3, APInt(2, 3).reverseBits());
1772
1773 EXPECT_EQ(0xb, APInt(4, 0xd).reverseBits());
1774 EXPECT_EQ(0xd, APInt(4, 0xb).reverseBits());
1775 EXPECT_EQ(0xf, APInt(4, 0xf).reverseBits());
1776
1777 EXPECT_EQ(0x30, APInt(7, 0x6).reverseBits());
1778 EXPECT_EQ(0x5a, APInt(7, 0x2d).reverseBits());
1779
1780 EXPECT_EQ(0x0f, APInt(8, 0xf0).reverseBits());
1781 EXPECT_EQ(0xf0, APInt(8, 0x0f).reverseBits());
1782
1783 EXPECT_EQ(0x0f0f, APInt(16, 0xf0f0).reverseBits());
1784 EXPECT_EQ(0xf0f0, APInt(16, 0x0f0f).reverseBits());
1785
1786 EXPECT_EQ(0x0f0f0f0f, APInt(32, 0xf0f0f0f0).reverseBits());
1787 EXPECT_EQ(0xf0f0f0f0, APInt(32, 0x0f0f0f0f).reverseBits());
1788
1789 EXPECT_EQ(0x402880a0 >> 1, APInt(31, 0x05011402).reverseBits());
1790
1791 EXPECT_EQ(0x0f0f0f0f, APInt(32, 0xf0f0f0f0).reverseBits());
1792 EXPECT_EQ(0xf0f0f0f0, APInt(32, 0x0f0f0f0f).reverseBits());
1793
1794 EXPECT_EQ(0x0f0f0f0f0f0f0f0f, APInt(64, 0xf0f0f0f0f0f0f0f0).reverseBits());
1795 EXPECT_EQ(0xf0f0f0f0f0f0f0f0, APInt(64, 0x0f0f0f0f0f0f0f0f).reverseBits());
1796
1797 for (unsigned N : { 1, 8, 16, 24, 31, 32, 33,
1798 63, 64, 65, 127, 128, 257, 1024 }) {
1799 for (unsigned I = 0; I < N; ++I) {
1800 APInt X = APInt::getOneBitSet(N, I);
1801 APInt Y = APInt::getOneBitSet(N, N - (I + 1));
1802 EXPECT_EQ(Y, X.reverseBits());
1803 EXPECT_EQ(X, Y.reverseBits());
1804 }
1805 }
1806 }
1807
1808 TEST(APIntTest, insertBits) {
1809 APInt iSrc(31, 0x00123456);
1810
1811 // Direct copy.
1812 APInt i31(31, 0x76543210ull);
1813 i31.insertBits(iSrc, 0);
1814 EXPECT_EQ(static_cast<int64_t>(0x00123456ull), i31.getSExtValue());
1815
1816 // Single word src/dst insertion.
1817 APInt i63(63, 0x01234567FFFFFFFFull);
1818 i63.insertBits(iSrc, 4);
1819 EXPECT_EQ(static_cast<int64_t>(0x012345600123456Full), i63.getSExtValue());
1820
1821 // Insert single word src into one word of dst.
1822 APInt i120(120, UINT64_MAX, true);
1823 i120.insertBits(iSrc, 8);
1824 EXPECT_EQ(static_cast<int64_t>(0xFFFFFF80123456FFull), i120.getSExtValue());
1825
1826 // Insert single word src into two words of dst.
1827 APInt i127(127, UINT64_MAX, true);
1828 i127.insertBits(iSrc, 48);
1829 EXPECT_EQ(i127.extractBits(64, 0).getZExtValue(), 0x3456FFFFFFFFFFFFull);
1830 EXPECT_EQ(i127.extractBits(63, 64).getZExtValue(), 0x7FFFFFFFFFFF8012ull);
1831
1832 // Insert on word boundaries.
1833 APInt i128(128, 0);
1834 i128.insertBits(APInt(64, UINT64_MAX, true), 0);
1835 i128.insertBits(APInt(64, UINT64_MAX, true), 64);
1836 EXPECT_EQ(-1, i128.getSExtValue());
1837
1838 APInt i256(256, UINT64_MAX, true);
1839 i256.insertBits(APInt(65, 0), 0);
1840 i256.insertBits(APInt(69, 0), 64);
1841 i256.insertBits(APInt(128, 0), 128);
1842 EXPECT_EQ(0u, i256.getSExtValue());
1843
1844 APInt i257(257, 0);
1845 i257.insertBits(APInt(96, UINT64_MAX, true), 64);
1846 EXPECT_EQ(i257.extractBits(64, 0).getZExtValue(), 0x0000000000000000ull);
1847 EXPECT_EQ(i257.extractBits(64, 64).getZExtValue(), 0xFFFFFFFFFFFFFFFFull);
1848 EXPECT_EQ(i257.extractBits(64, 128).getZExtValue(), 0x00000000FFFFFFFFull);
1849 EXPECT_EQ(i257.extractBits(65, 192).getZExtValue(), 0x0000000000000000ull);
1850
1851 // General insertion.
1852 APInt i260(260, UINT64_MAX, true);
1853 i260.insertBits(APInt(129, 1ull << 48), 15);
1854 EXPECT_EQ(i260.extractBits(64, 0).getZExtValue(), 0x8000000000007FFFull);
1855 EXPECT_EQ(i260.extractBits(64, 64).getZExtValue(), 0x0000000000000000ull);
1856 EXPECT_EQ(i260.extractBits(64, 128).getZExtValue(), 0xFFFFFFFFFFFF0000ull);
1857 EXPECT_EQ(i260.extractBits(64, 192).getZExtValue(), 0xFFFFFFFFFFFFFFFFull);
1858 EXPECT_EQ(i260.extractBits(4, 256).getZExtValue(), 0x000000000000000Full);
1859 }
1860
1861 TEST(APIntTest, insertBitsUInt64) {
1862 // Tests cloned from insertBits but adapted to the numBits <= 64 constraint
1863 uint64_t iSrc = 0x00123456;
1864
1865 // Direct copy.
1866 APInt i31(31, 0x76543210ull);
1867 i31.insertBits(iSrc, 0, 31);
1868 EXPECT_EQ(static_cast<int64_t>(0x00123456ull), i31.getSExtValue());
1869
1870 // Single word src/dst insertion.
1871 APInt i63(63, 0x01234567FFFFFFFFull);
1872 i63.insertBits(iSrc, 4, 31);
1873 EXPECT_EQ(static_cast<int64_t>(0x012345600123456Full), i63.getSExtValue());
1874
1875 // Insert single word src into one word of dst.
1876 APInt i120(120, UINT64_MAX, true);
1877 i120.insertBits(iSrc, 8, 31);
1878 EXPECT_EQ(static_cast<int64_t>(0xFFFFFF80123456FFull), i120.getSExtValue());
1879
1880 // Insert single word src into two words of dst.
1881 APInt i127(127, UINT64_MAX, true);
1882 i127.insertBits(iSrc, 48, 31);
1883 EXPECT_EQ(i127.extractBits(64, 0).getZExtValue(), 0x3456FFFFFFFFFFFFull);
1884 EXPECT_EQ(i127.extractBits(63, 64).getZExtValue(), 0x7FFFFFFFFFFF8012ull);
1885
1886 // Insert on word boundaries.
1887 APInt i128(128, 0);
1888 i128.insertBits(UINT64_MAX, 0, 64);
1889 i128.insertBits(UINT64_MAX, 64, 64);
1890 EXPECT_EQ(-1, i128.getSExtValue());
1891
1892 APInt i256(256, UINT64_MAX, true);
1893 i256.insertBits(0, 0, 64);
1894 i256.insertBits(0, 64, 1);
1895 i256.insertBits(0, 64, 64);
1896 i256.insertBits(0, 128, 5);
1897 i256.insertBits(0, 128, 64);
1898 i256.insertBits(0, 192, 64);
1899 EXPECT_EQ(0u, i256.getSExtValue());
1900
1901 APInt i257(257, 0);
1902 i257.insertBits(APInt(96, UINT64_MAX, true), 64);
1903 EXPECT_EQ(i257.extractBitsAsZExtValue(64, 0), 0x0000000000000000ull);
1904 EXPECT_EQ(i257.extractBitsAsZExtValue(64, 64), 0xFFFFFFFFFFFFFFFFull);
1905 EXPECT_EQ(i257.extractBitsAsZExtValue(64, 128), 0x00000000FFFFFFFFull);
1906 EXPECT_EQ(i257.extractBitsAsZExtValue(64, 192), 0x0000000000000000ull);
1907 EXPECT_EQ(i257.extractBitsAsZExtValue(1, 256), 0x0000000000000000ull);
1908
1909 // General insertion.
1910 APInt i260(260, UINT64_MAX, true);
1911 i260.insertBits(APInt(129, 1ull << 48), 15);
1912 EXPECT_EQ(i260.extractBitsAsZExtValue(64, 0), 0x8000000000007FFFull);
1913 EXPECT_EQ(i260.extractBitsAsZExtValue(64, 64), 0x0000000000000000ull);
1914 EXPECT_EQ(i260.extractBitsAsZExtValue(64, 128), 0xFFFFFFFFFFFF0000ull);
1915 EXPECT_EQ(i260.extractBitsAsZExtValue(64, 192), 0xFFFFFFFFFFFFFFFFull);
1916 EXPECT_EQ(i260.extractBitsAsZExtValue(4, 256), 0x000000000000000Full);
1917 }
1918
1919 TEST(APIntTest, extractBits) {
1920 APInt i32(32, 0x1234567);
1921 EXPECT_EQ(0x3456, i32.extractBits(16, 4));
1922
1923 APInt i257(257, 0xFFFFFFFFFF0000FFull, true);
1924 EXPECT_EQ(0xFFu, i257.extractBits(16, 0));
1925 EXPECT_EQ((0xFFu >> 1), i257.extractBits(16, 1));
1926 EXPECT_EQ(-1, i257.extractBits(32, 64).getSExtValue());
1927 EXPECT_EQ(-1, i257.extractBits(128, 128).getSExtValue());
1928 EXPECT_EQ(-1, i257.extractBits(66, 191).getSExtValue());
1929 EXPECT_EQ(static_cast<int64_t>(0xFFFFFFFFFF80007Full),
1930 i257.extractBits(128, 1).getSExtValue());
1931 EXPECT_EQ(static_cast<int64_t>(0xFFFFFFFFFF80007Full),
1932 i257.extractBits(129, 1).getSExtValue());
1933
1934 EXPECT_EQ(APInt(48, 0),
1935 APInt(144, "281474976710655", 10).extractBits(48, 48));
1936 EXPECT_EQ(APInt(48, 0x0000ffffffffffffull),
1937 APInt(144, "281474976710655", 10).extractBits(48, 0));
1938 EXPECT_EQ(APInt(48, 0x00007fffffffffffull),
1939 APInt(144, "281474976710655", 10).extractBits(48, 1));
1940 }
1941
1942 TEST(APIntTest, extractBitsAsZExtValue) {
1943 // Tests based on extractBits
1944 APInt i32(32, 0x1234567);
1945 EXPECT_EQ(0x3456u, i32.extractBitsAsZExtValue(16, 4));
1946
1947 APInt i257(257, 0xFFFFFFFFFF0000FFull, true);
1948 EXPECT_EQ(0xFFu, i257.extractBitsAsZExtValue(16, 0));
1949 EXPECT_EQ((0xFFu >> 1), i257.extractBitsAsZExtValue(16, 1));
1950 EXPECT_EQ(0xFFFFFFFFull, i257.extractBitsAsZExtValue(32, 64));
1951 EXPECT_EQ(0xFFFFFFFFFFFFFFFFull, i257.extractBitsAsZExtValue(64, 128));
1952 EXPECT_EQ(0xFFFFFFFFFFFFFFFFull, i257.extractBitsAsZExtValue(64, 192));
1953 EXPECT_EQ(0xFFFFFFFFFFFFFFFFull, i257.extractBitsAsZExtValue(64, 191));
1954 EXPECT_EQ(0x3u, i257.extractBitsAsZExtValue(2, 255));
1955 EXPECT_EQ(0xFFFFFFFFFF80007Full, i257.extractBitsAsZExtValue(64, 1));
1956 EXPECT_EQ(0xFFFFFFFFFFFFFFFFull, i257.extractBitsAsZExtValue(64, 65));
1957 EXPECT_EQ(0xFFFFFFFFFF80007Full, i257.extractBitsAsZExtValue(64, 1));
1958 EXPECT_EQ(0xFFFFFFFFFFFFFFFFull, i257.extractBitsAsZExtValue(64, 65));
1959 EXPECT_EQ(0x1ull, i257.extractBitsAsZExtValue(1, 129));
1960
1961 EXPECT_EQ(APInt(48, 0),
1962 APInt(144, "281474976710655", 10).extractBitsAsZExtValue(48, 48));
1963 EXPECT_EQ(APInt(48, 0x0000ffffffffffffull),
1964 APInt(144, "281474976710655", 10).extractBitsAsZExtValue(48, 0));
1965 EXPECT_EQ(APInt(48, 0x00007fffffffffffull),
1966 APInt(144, "281474976710655", 10).extractBitsAsZExtValue(48, 1));
1967 }
1968
1969 TEST(APIntTest, getLowBitsSet) {
1970 APInt i128lo64 = APInt::getLowBitsSet(128, 64);
1971 EXPECT_EQ(0u, i128lo64.countLeadingOnes());
1972 EXPECT_EQ(64u, i128lo64.countLeadingZeros());
1973 EXPECT_EQ(64u, i128lo64.getActiveBits());
1974 EXPECT_EQ(0u, i128lo64.countTrailingZeros());
1975 EXPECT_EQ(64u, i128lo64.countTrailingOnes());
1976 EXPECT_EQ(64u, i128lo64.countPopulation());
1977 }
1978
1979 TEST(APIntTest, getBitsSet) {
1980 APInt i64hi1lo1 = APInt::getBitsSet(64, 1, 63);
1981 EXPECT_EQ(0u, i64hi1lo1.countLeadingOnes());
1982 EXPECT_EQ(1u, i64hi1lo1.countLeadingZeros());
1983 EXPECT_EQ(63u, i64hi1lo1.getActiveBits());
1984 EXPECT_EQ(1u, i64hi1lo1.countTrailingZeros());
1985 EXPECT_EQ(0u, i64hi1lo1.countTrailingOnes());
1986 EXPECT_EQ(62u, i64hi1lo1.countPopulation());
1987
1988 APInt i127hi1lo1 = APInt::getBitsSet(127, 1, 126);
1989 EXPECT_EQ(0u, i127hi1lo1.countLeadingOnes());
1990 EXPECT_EQ(1u, i127hi1lo1.countLeadingZeros());
1991 EXPECT_EQ(126u, i127hi1lo1.getActiveBits());
1992 EXPECT_EQ(1u, i127hi1lo1.countTrailingZeros());
1993 EXPECT_EQ(0u, i127hi1lo1.countTrailingOnes());
1994 EXPECT_EQ(125u, i127hi1lo1.countPopulation());
1995 }
1996
1997 TEST(APIntTest, getHighBitsSet) {
1998 APInt i64hi32 = APInt::getHighBitsSet(64, 32);
1999 EXPECT_EQ(32u, i64hi32.countLeadingOnes());
2000 EXPECT_EQ(0u, i64hi32.countLeadingZeros());
2001 EXPECT_EQ(64u, i64hi32.getActiveBits());
2002 EXPECT_EQ(32u, i64hi32.countTrailingZeros());
2003 EXPECT_EQ(0u, i64hi32.countTrailingOnes());
2004 EXPECT_EQ(32u, i64hi32.countPopulation());
2005 }
2006
2007 TEST(APIntTest, getBitsSetFrom) {
2008 APInt i64hi31 = APInt::getBitsSetFrom(64, 33);
2009 EXPECT_EQ(31u, i64hi31.countLeadingOnes());
2010 EXPECT_EQ(0u, i64hi31.countLeadingZeros());
2011 EXPECT_EQ(64u, i64hi31.getActiveBits());
2012 EXPECT_EQ(33u, i64hi31.countTrailingZeros());
2013 EXPECT_EQ(0u, i64hi31.countTrailingOnes());
2014 EXPECT_EQ(31u, i64hi31.countPopulation());
2015 }
2016
2017 TEST(APIntTest, setLowBits) {
2018 APInt i64lo32(64, 0);
2019 i64lo32.setLowBits(32);
2020 EXPECT_EQ(0u, i64lo32.countLeadingOnes());
2021 EXPECT_EQ(32u, i64lo32.countLeadingZeros());
2022 EXPECT_EQ(32u, i64lo32.getActiveBits());
2023 EXPECT_EQ(0u, i64lo32.countTrailingZeros());
2024 EXPECT_EQ(32u, i64lo32.countTrailingOnes());
2025 EXPECT_EQ(32u, i64lo32.countPopulation());
2026
2027 APInt i128lo64(128, 0);
2028 i128lo64.setLowBits(64);
2029 EXPECT_EQ(0u, i128lo64.countLeadingOnes());
2030 EXPECT_EQ(64u, i128lo64.countLeadingZeros());
2031 EXPECT_EQ(64u, i128lo64.getActiveBits());
2032 EXPECT_EQ(0u, i128lo64.countTrailingZeros());
2033 EXPECT_EQ(64u, i128lo64.countTrailingOnes());
2034 EXPECT_EQ(64u, i128lo64.countPopulation());
2035
2036 APInt i128lo24(128, 0);
2037 i128lo24.setLowBits(24);
2038 EXPECT_EQ(0u, i128lo24.countLeadingOnes());
2039 EXPECT_EQ(104u, i128lo24.countLeadingZeros());
2040 EXPECT_EQ(24u, i128lo24.getActiveBits());
2041 EXPECT_EQ(0u, i128lo24.countTrailingZeros());
2042 EXPECT_EQ(24u, i128lo24.countTrailingOnes());
2043 EXPECT_EQ(24u, i128lo24.countPopulation());
2044
2045 APInt i128lo104(128, 0);
2046 i128lo104.setLowBits(104);
2047 EXPECT_EQ(0u, i128lo104.countLeadingOnes());
2048 EXPECT_EQ(24u, i128lo104.countLeadingZeros());
2049 EXPECT_EQ(104u, i128lo104.getActiveBits());
2050 EXPECT_EQ(0u, i128lo104.countTrailingZeros());
2051 EXPECT_EQ(104u, i128lo104.countTrailingOnes());
2052 EXPECT_EQ(104u, i128lo104.countPopulation());
2053
2054 APInt i128lo0(128, 0);
2055 i128lo0.setLowBits(0);
2056 EXPECT_EQ(0u, i128lo0.countLeadingOnes());
2057 EXPECT_EQ(128u, i128lo0.countLeadingZeros());
2058 EXPECT_EQ(0u, i128lo0.getActiveBits());
2059 EXPECT_EQ(128u, i128lo0.countTrailingZeros());
2060 EXPECT_EQ(0u, i128lo0.countTrailingOnes());
2061 EXPECT_EQ(0u, i128lo0.countPopulation());
2062
2063 APInt i80lo79(80, 0);
2064 i80lo79.setLowBits(79);
2065 EXPECT_EQ(0u, i80lo79.countLeadingOnes());
2066 EXPECT_EQ(1u, i80lo79.countLeadingZeros());
2067 EXPECT_EQ(79u, i80lo79.getActiveBits());
2068 EXPECT_EQ(0u, i80lo79.countTrailingZeros());
2069 EXPECT_EQ(79u, i80lo79.countTrailingOnes());
2070 EXPECT_EQ(79u, i80lo79.countPopulation());
2071 }
2072
2073 TEST(APIntTest, setHighBits) {
2074 APInt i64hi32(64, 0);
2075 i64hi32.setHighBits(32);
2076 EXPECT_EQ(32u, i64hi32.countLeadingOnes());
2077 EXPECT_EQ(0u, i64hi32.countLeadingZeros());
2078 EXPECT_EQ(64u, i64hi32.getActiveBits());
2079 EXPECT_EQ(32u, i64hi32.countTrailingZeros());
2080 EXPECT_EQ(0u, i64hi32.countTrailingOnes());
2081 EXPECT_EQ(32u, i64hi32.countPopulation());
2082
2083 APInt i128hi64(128, 0);
2084 i128hi64.setHighBits(64);
2085 EXPECT_EQ(64u, i128hi64.countLeadingOnes());
2086 EXPECT_EQ(0u, i128hi64.countLeadingZeros());
2087 EXPECT_EQ(128u, i128hi64.getActiveBits());
2088 EXPECT_EQ(64u, i128hi64.countTrailingZeros());
2089 EXPECT_EQ(0u, i128hi64.countTrailingOnes());
2090 EXPECT_EQ(64u, i128hi64.countPopulation());
2091
2092 APInt i128hi24(128, 0);
2093 i128hi24.setHighBits(24);
2094 EXPECT_EQ(24u, i128hi24.countLeadingOnes());
2095 EXPECT_EQ(0u, i128hi24.countLeadingZeros());
2096 EXPECT_EQ(128u, i128hi24.getActiveBits());
2097 EXPECT_EQ(104u, i128hi24.countTrailingZeros());
2098 EXPECT_EQ(0u, i128hi24.countTrailingOnes());
2099 EXPECT_EQ(24u, i128hi24.countPopulation());
2100
2101 APInt i128hi104(128, 0);
2102 i128hi104.setHighBits(104);
2103 EXPECT_EQ(104u, i128hi104.countLeadingOnes());
2104 EXPECT_EQ(0u, i128hi104.countLeadingZeros());
2105 EXPECT_EQ(128u, i128hi104.getActiveBits());
2106 EXPECT_EQ(24u, i128hi104.countTrailingZeros());
2107 EXPECT_EQ(0u, i128hi104.countTrailingOnes());
2108 EXPECT_EQ(104u, i128hi104.countPopulation());
2109
2110 APInt i128hi0(128, 0);
2111 i128hi0.setHighBits(0);
2112 EXPECT_EQ(0u, i128hi0.countLeadingOnes());
2113 EXPECT_EQ(128u, i128hi0.countLeadingZeros());
2114 EXPECT_EQ(0u, i128hi0.getActiveBits());
2115 EXPECT_EQ(128u, i128hi0.countTrailingZeros());
2116 EXPECT_EQ(0u, i128hi0.countTrailingOnes());
2117 EXPECT_EQ(0u, i128hi0.countPopulation());
2118
2119 APInt i80hi1(80, 0);
2120 i80hi1.setHighBits(1);
2121 EXPECT_EQ(1u, i80hi1.countLeadingOnes());
2122 EXPECT_EQ(0u, i80hi1.countLeadingZeros());
2123 EXPECT_EQ(80u, i80hi1.getActiveBits());
2124 EXPECT_EQ(79u, i80hi1.countTrailingZeros());
2125 EXPECT_EQ(0u, i80hi1.countTrailingOnes());
2126 EXPECT_EQ(1u, i80hi1.countPopulation());
2127
2128 APInt i32hi16(32, 0);
2129 i32hi16.setHighBits(16);
2130 EXPECT_EQ(16u, i32hi16.countLeadingOnes());
2131 EXPECT_EQ(0u, i32hi16.countLeadingZeros());
2132 EXPECT_EQ(32u, i32hi16.getActiveBits());
2133 EXPECT_EQ(16u, i32hi16.countTrailingZeros());
2134 EXPECT_EQ(0u, i32hi16.countTrailingOnes());
2135 EXPECT_EQ(16u, i32hi16.countPopulation());
2136 }
2137
2138 TEST(APIntTest, setBitsFrom) {
2139 APInt i64from63(64, 0);
2140 i64from63.setBitsFrom(63);
2141 EXPECT_EQ(1u, i64from63.countLeadingOnes());
2142 EXPECT_EQ(0u, i64from63.countLeadingZeros());
2143 EXPECT_EQ(64u, i64from63.getActiveBits());
2144 EXPECT_EQ(63u, i64from63.countTrailingZeros());
2145 EXPECT_EQ(0u, i64from63.countTrailingOnes());
2146 EXPECT_EQ(1u, i64from63.countPopulation());
2147 }
2148
2149 TEST(APIntTest, setAllBits) {
2150 APInt i32(32, 0);
2151 i32.setAllBits();
2152 EXPECT_EQ(32u, i32.countLeadingOnes());
2153 EXPECT_EQ(0u, i32.countLeadingZeros());
2154 EXPECT_EQ(32u, i32.getActiveBits());
2155 EXPECT_EQ(0u, i32.countTrailingZeros());
2156 EXPECT_EQ(32u, i32.countTrailingOnes());
2157 EXPECT_EQ(32u, i32.countPopulation());
2158
2159 APInt i64(64, 0);
2160 i64.setAllBits();
2161 EXPECT_EQ(64u, i64.countLeadingOnes());
2162 EXPECT_EQ(0u, i64.countLeadingZeros());
2163 EXPECT_EQ(64u, i64.getActiveBits());
2164 EXPECT_EQ(0u, i64.countTrailingZeros());
2165 EXPECT_EQ(64u, i64.countTrailingOnes());
2166 EXPECT_EQ(64u, i64.countPopulation());
2167
2168 APInt i96(96, 0);
2169 i96.setAllBits();
2170 EXPECT_EQ(96u, i96.countLeadingOnes());
2171 EXPECT_EQ(0u, i96.countLeadingZeros());
2172 EXPECT_EQ(96u, i96.getActiveBits());
2173 EXPECT_EQ(0u, i96.countTrailingZeros());
2174 EXPECT_EQ(96u, i96.countTrailingOnes());
2175 EXPECT_EQ(96u, i96.countPopulation());
2176
2177 APInt i128(128, 0);
2178 i128.setAllBits();
2179 EXPECT_EQ(128u, i128.countLeadingOnes());
2180 EXPECT_EQ(0u, i128.countLeadingZeros());
2181 EXPECT_EQ(128u, i128.getActiveBits());
2182 EXPECT_EQ(0u, i128.countTrailingZeros());
2183 EXPECT_EQ(128u, i128.countTrailingOnes());
2184 EXPECT_EQ(128u, i128.countPopulation());
2185 }
2186
2187 TEST(APIntTest, getLoBits) {
2188 APInt i32(32, 0xfa);
2189 i32.setHighBits(1);
2190 EXPECT_EQ(0xa, i32.getLoBits(4));
2191 APInt i128(128, 0xfa);
2192 i128.setHighBits(1);
2193 EXPECT_EQ(0xa, i128.getLoBits(4));
2194 }
2195
2196 TEST(APIntTest, getHiBits) {
2197 APInt i32(32, 0xfa);
2198 i32.setHighBits(2);
2199 EXPECT_EQ(0xc, i32.getHiBits(4));
2200 APInt i128(128, 0xfa);
2201 i128.setHighBits(2);
2202 EXPECT_EQ(0xc, i128.getHiBits(4));
2203 }
2204
2205 TEST(APIntTest, clearLowBits) {
2206 APInt i64hi32 = APInt::getAllOnesValue(64);
2207 i64hi32.clearLowBits(32);
2208 EXPECT_EQ(32u, i64hi32.countLeadingOnes());
2209 EXPECT_EQ(0u, i64hi32.countLeadingZeros());
2210 EXPECT_EQ(64u, i64hi32.getActiveBits());
2211 EXPECT_EQ(32u, i64hi32.countTrailingZeros());
2212 EXPECT_EQ(0u, i64hi32.countTrailingOnes());
2213 EXPECT_EQ(32u, i64hi32.countPopulation());
2214
2215 APInt i128hi64 = APInt::getAllOnesValue(128);
2216 i128hi64.clearLowBits(64);
2217 EXPECT_EQ(64u, i128hi64.countLeadingOnes());
2218 EXPECT_EQ(0u, i128hi64.countLeadingZeros());
2219 EXPECT_EQ(128u, i128hi64.getActiveBits());
2220 EXPECT_EQ(64u, i128hi64.countTrailingZeros());
2221 EXPECT_EQ(0u, i128hi64.countTrailingOnes());
2222 EXPECT_EQ(64u, i128hi64.countPopulation());
2223
2224 APInt i128hi24 = APInt::getAllOnesValue(128);
2225 i128hi24.clearLowBits(104);
2226 EXPECT_EQ(24u, i128hi24.countLeadingOnes());
2227 EXPECT_EQ(0u, i128hi24.countLeadingZeros());
2228 EXPECT_EQ(128u, i128hi24.getActiveBits());
2229 EXPECT_EQ(104u, i128hi24.countTrailingZeros());
2230 EXPECT_EQ(0u, i128hi24.countTrailingOnes());
2231 EXPECT_EQ(24u, i128hi24.countPopulation());
2232
2233 APInt i128hi104 = APInt::getAllOnesValue(128);
2234 i128hi104.clearLowBits(24);
2235 EXPECT_EQ(104u, i128hi104.countLeadingOnes());
2236 EXPECT_EQ(0u, i128hi104.countLeadingZeros());
2237 EXPECT_EQ(128u, i128hi104.getActiveBits());
2238 EXPECT_EQ(24u, i128hi104.countTrailingZeros());
2239 EXPECT_EQ(0u, i128hi104.countTrailingOnes());
2240 EXPECT_EQ(104u, i128hi104.countPopulation());
2241
2242 APInt i128hi0 = APInt::getAllOnesValue(128);
2243 i128hi0.clearLowBits(128);
2244 EXPECT_EQ(0u, i128hi0.countLeadingOnes());
2245 EXPECT_EQ(128u, i128hi0.countLeadingZeros());
2246 EXPECT_EQ(0u, i128hi0.getActiveBits());
2247 EXPECT_EQ(128u, i128hi0.countTrailingZeros());
2248 EXPECT_EQ(0u, i128hi0.countTrailingOnes());
2249 EXPECT_EQ(0u, i128hi0.countPopulation());
2250
2251 APInt i80hi1 = APInt::getAllOnesValue(80);
2252 i80hi1.clearLowBits(79);
2253 EXPECT_EQ(1u, i80hi1.countLeadingOnes());
2254 EXPECT_EQ(0u, i80hi1.countLeadingZeros());
2255 EXPECT_EQ(80u, i80hi1.getActiveBits());
2256 EXPECT_EQ(79u, i80hi1.countTrailingZeros());
2257 EXPECT_EQ(0u, i80hi1.countTrailingOnes());
2258 EXPECT_EQ(1u, i80hi1.countPopulation());
2259
2260 APInt i32hi16 = APInt::getAllOnesValue(32);
2261 i32hi16.clearLowBits(16);
2262 EXPECT_EQ(16u, i32hi16.countLeadingOnes());
2263 EXPECT_EQ(0u, i32hi16.countLeadingZeros());
2264 EXPECT_EQ(32u, i32hi16.getActiveBits());
2265 EXPECT_EQ(16u, i32hi16.countTrailingZeros());
2266 EXPECT_EQ(0u, i32hi16.countTrailingOnes());
2267 EXPECT_EQ(16u, i32hi16.countPopulation());
2268 }
2269
2270 TEST(APIntTest, GCD) {
2271 using APIntOps::GreatestCommonDivisor;
2272
2273 for (unsigned Bits : {1, 2, 32, 63, 64, 65}) {
2274 // Test some corner cases near zero.
2275 APInt Zero(Bits, 0), One(Bits, 1);
2276 EXPECT_EQ(GreatestCommonDivisor(Zero, Zero), Zero);
2277 EXPECT_EQ(GreatestCommonDivisor(Zero, One), One);
2278 EXPECT_EQ(GreatestCommonDivisor(One, Zero), One);
2279 EXPECT_EQ(GreatestCommonDivisor(One, One), One);
2280
2281 if (Bits > 1) {
2282 APInt Two(Bits, 2);
2283 EXPECT_EQ(GreatestCommonDivisor(Zero, Two), Two);
2284 EXPECT_EQ(GreatestCommonDivisor(One, Two), One);
2285 EXPECT_EQ(GreatestCommonDivisor(Two, Two), Two);
2286
2287 // Test some corner cases near the highest representable value.
2288 APInt Max(Bits, 0);
2289 Max.setAllBits();
2290 EXPECT_EQ(GreatestCommonDivisor(Zero, Max), Max);
2291 EXPECT_EQ(GreatestCommonDivisor(One, Max), One);
2292 EXPECT_EQ(GreatestCommonDivisor(Two, Max), One);
2293 EXPECT_EQ(GreatestCommonDivisor(Max, Max), Max);
2294
2295 APInt MaxOver2 = Max.udiv(Two);
2296 EXPECT_EQ(GreatestCommonDivisor(MaxOver2, Max), One);
2297 // Max - 1 == Max / 2 * 2, because Max is odd.
2298 EXPECT_EQ(GreatestCommonDivisor(MaxOver2, Max - 1), MaxOver2);
2299 }
2300 }
2301
2302 // Compute the 20th Mersenne prime.
2303 const unsigned BitWidth = 4450;
2304 APInt HugePrime = APInt::getLowBitsSet(BitWidth, 4423);
2305
2306 // 9931 and 123456 are coprime.
2307 APInt A = HugePrime * APInt(BitWidth, 9931);
2308 APInt B = HugePrime * APInt(BitWidth, 123456);
2309 APInt C = GreatestCommonDivisor(A, B);
2310 EXPECT_EQ(C, HugePrime);
2311 }
2312
2313 TEST(APIntTest, LogicalRightShift) {
2314 APInt i256(APInt::getHighBitsSet(256, 2));
2315
2316 i256.lshrInPlace(1);
2317 EXPECT_EQ(1U, i256.countLeadingZeros());
2318 EXPECT_EQ(253U, i256.countTrailingZeros());
2319 EXPECT_EQ(2U, i256.countPopulation());
2320
2321 i256.lshrInPlace(62);
2322 EXPECT_EQ(63U, i256.countLeadingZeros());
2323 EXPECT_EQ(191U, i256.countTrailingZeros());
2324 EXPECT_EQ(2U, i256.countPopulation());
2325
2326 i256.lshrInPlace(65);
2327 EXPECT_EQ(128U, i256.countLeadingZeros());
2328 EXPECT_EQ(126U, i256.countTrailingZeros());
2329 EXPECT_EQ(2U, i256.countPopulation());
2330
2331 i256.lshrInPlace(64);
2332 EXPECT_EQ(192U, i256.countLeadingZeros());
2333 EXPECT_EQ(62U, i256.countTrailingZeros());
2334 EXPECT_EQ(2U, i256.countPopulation());
2335
2336 i256.lshrInPlace(63);
2337 EXPECT_EQ(255U, i256.countLeadingZeros());
2338 EXPECT_EQ(0U, i256.countTrailingZeros());
2339 EXPECT_EQ(1U, i256.countPopulation());
2340
2341 // Ensure we handle large shifts of multi-word.
2342 const APInt neg_one(128, static_cast<uint64_t>(-1), true);
2343 EXPECT_EQ(0, neg_one.lshr(128));
2344 }
2345
2346 TEST(APIntTest, ArithmeticRightShift) {
2347 APInt i72(APInt::getHighBitsSet(72, 1));
2348 i72.ashrInPlace(46);
2349 EXPECT_EQ(47U, i72.countLeadingOnes());
2350 EXPECT_EQ(25U, i72.countTrailingZeros());
2351 EXPECT_EQ(47U, i72.countPopulation());
2352
2353 i72 = APInt::getHighBitsSet(72, 1);
2354 i72.ashrInPlace(64);
2355 EXPECT_EQ(65U, i72.countLeadingOnes());
2356 EXPECT_EQ(7U, i72.countTrailingZeros());
2357 EXPECT_EQ(65U, i72.countPopulation());
2358
2359 APInt i128(APInt::getHighBitsSet(128, 1));
2360 i128.ashrInPlace(64);
2361 EXPECT_EQ(65U, i128.countLeadingOnes());
2362 EXPECT_EQ(63U, i128.countTrailingZeros());
2363 EXPECT_EQ(65U, i128.countPopulation());
2364
2365 // Ensure we handle large shifts of multi-word.
2366 const APInt signmin32(APInt::getSignedMinValue(32));
2367 EXPECT_TRUE(signmin32.ashr(32).isAllOnesValue());
2368
2369 // Ensure we handle large shifts of multi-word.
2370 const APInt umax32(APInt::getSignedMaxValue(32));
2371 EXPECT_EQ(0, umax32.ashr(32));
2372
2373 // Ensure we handle large shifts of multi-word.
2374 const APInt signmin128(APInt::getSignedMinValue(128));
2375 EXPECT_TRUE(signmin128.ashr(128).isAllOnesValue());
2376
2377 // Ensure we handle large shifts of multi-word.
2378 const APInt umax128(APInt::getSignedMaxValue(128));
2379 EXPECT_EQ(0, umax128.ashr(128));
2380 }
2381
2382 TEST(APIntTest, LeftShift) {
2383 APInt i256(APInt::getLowBitsSet(256, 2));
2384
2385 i256 <<= 1;
2386 EXPECT_EQ(253U, i256.countLeadingZeros());
2387 EXPECT_EQ(1U, i256.countTrailingZeros());
2388 EXPECT_EQ(2U, i256.countPopulation());
2389
2390 i256 <<= 62;
2391 EXPECT_EQ(191U, i256.countLeadingZeros());
2392 EXPECT_EQ(63U, i256.countTrailingZeros());
2393 EXPECT_EQ(2U, i256.countPopulation());
2394
2395 i256 <<= 65;
2396 EXPECT_EQ(126U, i256.countLeadingZeros());
2397 EXPECT_EQ(128U, i256.countTrailingZeros());
2398 EXPECT_EQ(2U, i256.countPopulation());
2399
2400 i256 <<= 64;
2401 EXPECT_EQ(62U, i256.countLeadingZeros());
2402 EXPECT_EQ(192U, i256.countTrailingZeros());
2403 EXPECT_EQ(2U, i256.countPopulation());
2404
2405 i256 <<= 63;
2406 EXPECT_EQ(0U, i256.countLeadingZeros());
2407 EXPECT_EQ(255U, i256.countTrailingZeros());
2408 EXPECT_EQ(1U, i256.countPopulation());
2409
2410 // Ensure we handle large shifts of multi-word.
2411 const APInt neg_one(128, static_cast<uint64_t>(-1), true);
2412 EXPECT_EQ(0, neg_one.shl(128));
2413 }
2414
2415 TEST(APIntTest, isSubsetOf) {
2416 APInt i32_1(32, 1);
2417 APInt i32_2(32, 2);
2418 APInt i32_3(32, 3);
2419 EXPECT_FALSE(i32_3.isSubsetOf(i32_1));
2420 EXPECT_TRUE(i32_1.isSubsetOf(i32_3));
2421 EXPECT_FALSE(i32_2.isSubsetOf(i32_1));
2422 EXPECT_FALSE(i32_1.isSubsetOf(i32_2));
2423 EXPECT_TRUE(i32_3.isSubsetOf(i32_3));
2424
2425 APInt i128_1(128, 1);
2426 APInt i128_2(128, 2);
2427 APInt i128_3(128, 3);
2428 EXPECT_FALSE(i128_3.isSubsetOf(i128_1));
2429 EXPECT_TRUE(i128_1.isSubsetOf(i128_3));
2430 EXPECT_FALSE(i128_2.isSubsetOf(i128_1));
2431 EXPECT_FALSE(i128_1.isSubsetOf(i128_2));
2432 EXPECT_TRUE(i128_3.isSubsetOf(i128_3));
2433
2434 i128_1 <<= 64;
2435 i128_2 <<= 64;
2436 i128_3 <<= 64;
2437 EXPECT_FALSE(i128_3.isSubsetOf(i128_1));
2438 EXPECT_TRUE(i128_1.isSubsetOf(i128_3));
2439 EXPECT_FALSE(i128_2.isSubsetOf(i128_1));
2440 EXPECT_FALSE(i128_1.isSubsetOf(i128_2));
2441 EXPECT_TRUE(i128_3.isSubsetOf(i128_3));
2442 }
2443
2444 TEST(APIntTest, sext) {
2445 EXPECT_EQ(0, APInt(1, 0).sext(64));
2446 EXPECT_EQ(~uint64_t(0), APInt(1, 1).sext(64));
2447
2448 APInt i32_max(APInt::getSignedMaxValue(32).sext(63));
2449 EXPECT_EQ(32U, i32_max.countLeadingZeros());
2450 EXPECT_EQ(0U, i32_max.countTrailingZeros());
2451 EXPECT_EQ(31U, i32_max.countPopulation());
2452
2453 APInt i32_min(APInt::getSignedMinValue(32).sext(63));
2454 EXPECT_EQ(32U, i32_min.countLeadingOnes());
2455 EXPECT_EQ(31U, i32_min.countTrailingZeros());
2456 EXPECT_EQ(32U, i32_min.countPopulation());
2457
2458 APInt i32_neg1(APInt(32, ~uint64_t(0)).sext(63));
2459 EXPECT_EQ(63U, i32_neg1.countLeadingOnes());
2460 EXPECT_EQ(0U, i32_neg1.countTrailingZeros());
2461 EXPECT_EQ(63U, i32_neg1.countPopulation());
2462 }
2463
2464 TEST(APIntTest, multiply) {
2465 APInt i64(64, 1234);
2466
2467 EXPECT_EQ(7006652, i64 * 5678);
2468 EXPECT_EQ(7006652, 5678 * i64);
2469
2470 APInt i128 = APInt::getOneBitSet(128, 64);
2471 APInt i128_1234(128, 1234);
2472 i128_1234 <<= 64;
2473 EXPECT_EQ(i128_1234, i128 * 1234);
2474 EXPECT_EQ(i128_1234, 1234 * i128);
2475
2476 APInt i96 = APInt::getOneBitSet(96, 64);
2477 i96 *= ~0ULL;
2478 EXPECT_EQ(32U, i96.countLeadingOnes());
2479 EXPECT_EQ(32U, i96.countPopulation());
2480 EXPECT_EQ(64U, i96.countTrailingZeros());
2481 }
2482
2483 TEST(APIntTest, RoundingUDiv) {
2484 for (uint64_t Ai = 1; Ai <= 255; Ai++) {
2485 APInt A(8, Ai);
2486 APInt Zero(8, 0);
2487 EXPECT_EQ(0, APIntOps::RoundingUDiv(Zero, A, APInt::Rounding::UP));
2488 EXPECT_EQ(0, APIntOps::RoundingUDiv(Zero, A, APInt::Rounding::DOWN));
2489 EXPECT_EQ(0, APIntOps::RoundingUDiv(Zero, A, APInt::Rounding::TOWARD_ZERO));
2490
2491 for (uint64_t Bi = 1; Bi <= 255; Bi++) {
2492 APInt B(8, Bi);
2493 {
2494 APInt Quo = APIntOps::RoundingUDiv(A, B, APInt::Rounding::UP);
2495 auto Prod = Quo.zext(16) * B.zext(16);
2496 EXPECT_TRUE(Prod.uge(Ai));
2497 if (Prod.ugt(Ai)) {
2498 EXPECT_TRUE(((Quo - 1).zext(16) * B.zext(16)).ult(Ai));
2499 }
2500 }
2501 {
2502 APInt Quo = A.udiv(B);
2503 EXPECT_EQ(Quo, APIntOps::RoundingUDiv(A, B, APInt::Rounding::TOWARD_ZERO));
2504 EXPECT_EQ(Quo, APIntOps::RoundingUDiv(A, B, APInt::Rounding::DOWN));
2505 }
2506 }
2507 }
2508 }
2509
2510 TEST(APIntTest, RoundingSDiv) {
2511 for (int64_t Ai = -128; Ai <= 127; Ai++) {
2512 APInt A(8, Ai);
2513
2514 if (Ai != 0) {
2515 APInt Zero(8, 0);
2516 EXPECT_EQ(0, APIntOps::RoundingSDiv(Zero, A, APInt::Rounding::UP));
2517 EXPECT_EQ(0, APIntOps::RoundingSDiv(Zero, A, APInt::Rounding::DOWN));
2518 EXPECT_EQ(0, APIntOps::RoundingSDiv(Zero, A, APInt::Rounding::TOWARD_ZERO));
2519 }
2520
2521 for (uint64_t Bi = -128; Bi <= 127; Bi++) {
2522 if (Bi == 0)
2523 continue;
2524
2525 APInt B(8, Bi);
2526 {
2527 APInt Quo = APIntOps::RoundingSDiv(A, B, APInt::Rounding::UP);
2528 auto Prod = Quo.sext(16) * B.sext(16);
2529 EXPECT_TRUE(Prod.uge(A));
2530 if (Prod.ugt(A)) {
2531 EXPECT_TRUE(((Quo - 1).sext(16) * B.sext(16)).ult(A));
2532 }
2533 }
2534 {
2535 APInt Quo = APIntOps::RoundingSDiv(A, B, APInt::Rounding::DOWN);
2536 auto Prod = Quo.sext(16) * B.sext(16);
2537 EXPECT_TRUE(Prod.ule(A));
2538 if (Prod.ult(A)) {
2539 EXPECT_TRUE(((Quo + 1).sext(16) * B.sext(16)).ugt(A));
2540 }
2541 }
2542 {
2543 APInt Quo = A.sdiv(B);
2544 EXPECT_EQ(Quo, APIntOps::RoundingSDiv(A, B, APInt::Rounding::TOWARD_ZERO));
2545 }
2546 }
2547 }
2548 }
2549
2550 TEST(APIntTest, umul_ov) {
2551 const std::pair<uint64_t, uint64_t> Overflows[] = {
2552 {0x8000000000000000, 2},
2553 {0x5555555555555556, 3},
2554 {4294967296, 4294967296},
2555 {4294967295, 4294967298},
2556 };
2557 const std::pair<uint64_t, uint64_t> NonOverflows[] = {
2558 {0x7fffffffffffffff, 2},
2559 {0x5555555555555555, 3},
2560 {4294967295, 4294967297},
2561 };
2562
2563 bool Overflow;
2564 for (auto &X : Overflows) {
2565 APInt A(64, X.first);
2566 APInt B(64, X.second);
2567 (void)A.umul_ov(B, Overflow);
2568 EXPECT_TRUE(Overflow);
2569 }
2570 for (auto &X : NonOverflows) {
2571 APInt A(64, X.first);
2572 APInt B(64, X.second);
2573 (void)A.umul_ov(B, Overflow);
2574 EXPECT_FALSE(Overflow);
2575 }
2576
2577 for (unsigned Bits = 1; Bits <= 5; ++Bits)
2578 for (unsigned A = 0; A != 1u << Bits; ++A)
2579 for (unsigned B = 0; B != 1u << Bits; ++B) {
2580 APInt C = APInt(Bits, A).umul_ov(APInt(Bits, B), Overflow);
2581 APInt D = APInt(2 * Bits, A) * APInt(2 * Bits, B);
2582 EXPECT_TRUE(D.getHiBits(Bits).isNullValue() != Overflow);
2583 }
2584 }
2585
2586 TEST(APIntTest, SolveQuadraticEquationWrap) {
2587 // Verify that "Solution" is the first non-negative integer that solves
2588 // Ax^2 + Bx + C = "0 or overflow", i.e. that it is a correct solution
2589 // as calculated by SolveQuadraticEquationWrap.
2590 auto Validate = [] (int A, int B, int C, unsigned Width, int Solution) {
2591 int Mask = (1 << Width) - 1;
2592
2593 // Solution should be non-negative.
2594 EXPECT_GE(Solution, 0);
2595
2596 auto OverflowBits = [] (int64_t V, unsigned W) {
2597 return V & -(1 << W);
2598 };
2599
2600 int64_t Over0 = OverflowBits(C, Width);
2601
2602 auto IsZeroOrOverflow = [&] (int X) {
2603 int64_t ValueAtX = A*X*X + B*X + C;
2604 int64_t OverX = OverflowBits(ValueAtX, Width);
2605 return (ValueAtX & Mask) == 0 || OverX != Over0;
2606 };
2607
2608 auto EquationToString = [&] (const char *X_str) {
2609 return (Twine(A) + Twine(X_str) + Twine("^2 + ") + Twine(B) +
2610 Twine(X_str) + Twine(" + ") + Twine(C) + Twine(", bitwidth: ") +
2611 Twine(Width)).str();
2612 };
2613
2614 auto IsSolution = [&] (const char *X_str, int X) {
2615 if (IsZeroOrOverflow(X))
2616 return ::testing::AssertionSuccess()
2617 << X << " is a solution of " << EquationToString(X_str);
2618 return ::testing::AssertionFailure()
2619 << X << " is not an expected solution of "
2620 << EquationToString(X_str);
2621 };
2622
2623 auto IsNotSolution = [&] (const char *X_str, int X) {
2624 if (!IsZeroOrOverflow(X))
2625 return ::testing::AssertionSuccess()
2626 << X << " is not a solution of " << EquationToString(X_str);
2627 return ::testing::AssertionFailure()
2628 << X << " is an unexpected solution of "
2629 << EquationToString(X_str);
2630 };
2631
2632 // This is the important part: make sure that there is no solution that
2633 // is less than the calculated one.
2634 if (Solution > 0) {
2635 for (int X = 1; X < Solution-1; ++X)
2636 EXPECT_PRED_FORMAT1(IsNotSolution, X);
2637 }
2638
2639 // Verify that the calculated solution is indeed a solution.
2640 EXPECT_PRED_FORMAT1(IsSolution, Solution);
2641 };
2642
2643 // Generate all possible quadratic equations with Width-bit wide integer
2644 // coefficients, get the solution from SolveQuadraticEquationWrap, and
2645 // verify that the solution is correct.
2646 auto Iterate = [&] (unsigned Width) {
2647 assert(1 < Width && Width < 32);
2648 int Low = -(1 << (Width-1));
2649 int High = (1 << (Width-1));
2650
2651 for (int A = Low; A != High; ++A) {
2652 if (A == 0)
2653 continue;
2654 for (int B = Low; B != High; ++B) {
2655 for (int C = Low; C != High; ++C) {
2656 Optional<APInt> S = APIntOps::SolveQuadraticEquationWrap(
2657 APInt(Width, A), APInt(Width, B),
2658 APInt(Width, C), Width);
2659 if (S.hasValue())
2660 Validate(A, B, C, Width, S->getSExtValue());
2661 }
2662 }
2663 }
2664 };
2665
2666 // Test all widths in [2..6].
2667 for (unsigned i = 2; i <= 6; ++i)
2668 Iterate(i);
2669 }
2670
2671 TEST(APIntTest, MultiplicativeInverseExaustive) {
2672 for (unsigned BitWidth = 1; BitWidth <= 16; ++BitWidth) {
2673 for (unsigned Value = 0; Value < (1u << BitWidth); ++Value) {
2674 APInt V = APInt(BitWidth, Value);
2675 APInt MulInv =
2676 V.zext(BitWidth + 1)
2677 .multiplicativeInverse(APInt::getSignedMinValue(BitWidth + 1))
2678 .trunc(BitWidth);
2679 APInt One = V * MulInv;
2680 if (!V.isNullValue() && V.countTrailingZeros() == 0) {
2681 // Multiplicative inverse exists for all odd numbers.
2682 EXPECT_TRUE(One.isOneValue());
2683 } else {
2684 // Multiplicative inverse does not exist for even numbers (and 0).
2685 EXPECT_TRUE(MulInv.isNullValue());
2686 }
2687 }
2688 }
2689 }
2690
2691 } // end anonymous namespace
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