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Revert r354244 "[DAGCombiner] Eliminate dead stores to stack."
[llvm-complete.git] / unittests / ADT / APIntTest.cpp
blob6ef5b25f8d48ea6c0cd5c67957d558aabf646b59
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
1267 TEST(APIntTest, StringBitsNeeded16) {
1268 EXPECT_EQ(4U, APInt::getBitsNeeded( "0", 16));
1269 EXPECT_EQ(4U, APInt::getBitsNeeded( "F", 16));
1270 EXPECT_EQ(8U, APInt::getBitsNeeded("10", 16));
1271 EXPECT_EQ(8U, APInt::getBitsNeeded("1F", 16));
1272 EXPECT_EQ(8U, APInt::getBitsNeeded("20", 16));
1273
1274 EXPECT_EQ(4U, APInt::getBitsNeeded( "+0", 16));
1275 EXPECT_EQ(4U, APInt::getBitsNeeded( "+F", 16));
1276 EXPECT_EQ(8U, APInt::getBitsNeeded("+10", 16));
1277 EXPECT_EQ(8U, APInt::getBitsNeeded("+1F", 16));
1278 EXPECT_EQ(8U, APInt::getBitsNeeded("+20", 16));
1279
1280 EXPECT_EQ(5U, APInt::getBitsNeeded( "-0", 16));
1281 EXPECT_EQ(5U, APInt::getBitsNeeded( "-F", 16));
1282 EXPECT_EQ(9U, APInt::getBitsNeeded("-10", 16));
1283 EXPECT_EQ(9U, APInt::getBitsNeeded("-1F", 16));
1284 EXPECT_EQ(9U, APInt::getBitsNeeded("-20", 16));
1285 }
1286
1287 TEST(APIntTest, toString) {
1288 SmallString<16> S;
1289 bool isSigned;
1290
1291 APInt(8, 0).toString(S, 2, true, true);
1292 EXPECT_EQ(S.str().str(), "0b0");
1293 S.clear();
1294 APInt(8, 0).toString(S, 8, true, true);
1295 EXPECT_EQ(S.str().str(), "00");
1296 S.clear();
1297 APInt(8, 0).toString(S, 10, true, true);
1298 EXPECT_EQ(S.str().str(), "0");
1299 S.clear();
1300 APInt(8, 0).toString(S, 16, true, true);
1301 EXPECT_EQ(S.str().str(), "0x0");
1302 S.clear();
1303 APInt(8, 0).toString(S, 36, true, false);
1304 EXPECT_EQ(S.str().str(), "0");
1305 S.clear();
1306
1307 isSigned = false;
1308 APInt(8, 255, isSigned).toString(S, 2, isSigned, true);
1309 EXPECT_EQ(S.str().str(), "0b11111111");
1310 S.clear();
1311 APInt(8, 255, isSigned).toString(S, 8, isSigned, true);
1312 EXPECT_EQ(S.str().str(), "0377");
1313 S.clear();
1314 APInt(8, 255, isSigned).toString(S, 10, isSigned, true);
1315 EXPECT_EQ(S.str().str(), "255");
1316 S.clear();
1317 APInt(8, 255, isSigned).toString(S, 16, isSigned, true);
1318 EXPECT_EQ(S.str().str(), "0xFF");
1319 S.clear();
1320 APInt(8, 255, isSigned).toString(S, 36, isSigned, false);
1321 EXPECT_EQ(S.str().str(), "73");
1322 S.clear();
1323
1324 isSigned = true;
1325 APInt(8, 255, isSigned).toString(S, 2, isSigned, true);
1326 EXPECT_EQ(S.str().str(), "-0b1");
1327 S.clear();
1328 APInt(8, 255, isSigned).toString(S, 8, isSigned, true);
1329 EXPECT_EQ(S.str().str(), "-01");
1330 S.clear();
1331 APInt(8, 255, isSigned).toString(S, 10, isSigned, true);
1332 EXPECT_EQ(S.str().str(), "-1");
1333 S.clear();
1334 APInt(8, 255, isSigned).toString(S, 16, isSigned, true);
1335 EXPECT_EQ(S.str().str(), "-0x1");
1336 S.clear();
1337 APInt(8, 255, isSigned).toString(S, 36, isSigned, false);
1338 EXPECT_EQ(S.str().str(), "-1");
1339 S.clear();
1340 }
1341
1342 TEST(APIntTest, Log2) {
1343 EXPECT_EQ(APInt(15, 7).logBase2(), 2U);
1344 EXPECT_EQ(APInt(15, 7).ceilLogBase2(), 3U);
1345 EXPECT_EQ(APInt(15, 7).exactLogBase2(), -1);
1346 EXPECT_EQ(APInt(15, 8).logBase2(), 3U);
1347 EXPECT_EQ(APInt(15, 8).ceilLogBase2(), 3U);
1348 EXPECT_EQ(APInt(15, 8).exactLogBase2(), 3);
1349 EXPECT_EQ(APInt(15, 9).logBase2(), 3U);
1350 EXPECT_EQ(APInt(15, 9).ceilLogBase2(), 4U);
1351 EXPECT_EQ(APInt(15, 9).exactLogBase2(), -1);
1352 }
1353
1354 TEST(APIntTest, magic) {
1355 EXPECT_EQ(APInt(32, 3).magic().m, APInt(32, "55555556", 16));
1356 EXPECT_EQ(APInt(32, 3).magic().s, 0U);
1357 EXPECT_EQ(APInt(32, 5).magic().m, APInt(32, "66666667", 16));
1358 EXPECT_EQ(APInt(32, 5).magic().s, 1U);
1359 EXPECT_EQ(APInt(32, 7).magic().m, APInt(32, "92492493", 16));
1360 EXPECT_EQ(APInt(32, 7).magic().s, 2U);
1361 }
1362
1363 TEST(APIntTest, magicu) {
1364 EXPECT_EQ(APInt(32, 3).magicu().m, APInt(32, "AAAAAAAB", 16));
1365 EXPECT_EQ(APInt(32, 3).magicu().s, 1U);
1366 EXPECT_EQ(APInt(32, 5).magicu().m, APInt(32, "CCCCCCCD", 16));
1367 EXPECT_EQ(APInt(32, 5).magicu().s, 2U);
1368 EXPECT_EQ(APInt(32, 7).magicu().m, APInt(32, "24924925", 16));
1369 EXPECT_EQ(APInt(32, 7).magicu().s, 3U);
1370 EXPECT_EQ(APInt(64, 25).magicu(1).m, APInt(64, "A3D70A3D70A3D70B", 16));
1371 EXPECT_EQ(APInt(64, 25).magicu(1).s, 4U);
1372 }
1373
1374 #ifdef GTEST_HAS_DEATH_TEST
1375 #ifndef NDEBUG
1376 TEST(APIntTest, StringDeath) {
1377 EXPECT_DEATH(APInt(0, "", 0), "Bitwidth too small");
1378 EXPECT_DEATH(APInt(32, "", 0), "Invalid string length");
1379 EXPECT_DEATH(APInt(32, "0", 0), "Radix should be 2, 8, 10, 16, or 36!");
1380 EXPECT_DEATH(APInt(32, "", 10), "Invalid string length");
1381 EXPECT_DEATH(APInt(32, "-", 10), "String is only a sign, needs a value.");
1382 EXPECT_DEATH(APInt(1, "1234", 10), "Insufficient bit width");
1383 EXPECT_DEATH(APInt(32, "\0", 10), "Invalid string length");
1384 EXPECT_DEATH(APInt(32, StringRef("1\02", 3), 10), "Invalid character in digit string");
1385 EXPECT_DEATH(APInt(32, "1L", 10), "Invalid character in digit string");
1386 }
1387 #endif
1388 #endif
1389
1390 TEST(APIntTest, mul_clear) {
1391 APInt ValA(65, -1ULL);
1392 APInt ValB(65, 4);
1393 APInt ValC(65, 0);
1394 ValC = ValA * ValB;
1395 ValA *= ValB;
1396 EXPECT_EQ(ValA.toString(10, false), ValC.toString(10, false));
1397 }
1398
1399 TEST(APIntTest, Rotate) {
1400 EXPECT_EQ(APInt(8, 1), APInt(8, 1).rotl(0));
1401 EXPECT_EQ(APInt(8, 2), APInt(8, 1).rotl(1));
1402 EXPECT_EQ(APInt(8, 4), APInt(8, 1).rotl(2));
1403 EXPECT_EQ(APInt(8, 16), APInt(8, 1).rotl(4));
1404 EXPECT_EQ(APInt(8, 1), APInt(8, 1).rotl(8));
1405
1406 EXPECT_EQ(APInt(8, 16), APInt(8, 16).rotl(0));
1407 EXPECT_EQ(APInt(8, 32), APInt(8, 16).rotl(1));
1408 EXPECT_EQ(APInt(8, 64), APInt(8, 16).rotl(2));
1409 EXPECT_EQ(APInt(8, 1), APInt(8, 16).rotl(4));
1410 EXPECT_EQ(APInt(8, 16), APInt(8, 16).rotl(8));
1411
1412 EXPECT_EQ(APInt(32, 2), APInt(32, 1).rotl(33));
1413 EXPECT_EQ(APInt(32, 2), APInt(32, 1).rotl(APInt(32, 33)));
1414
1415 EXPECT_EQ(APInt(32, 2), APInt(32, 1).rotl(33));
1416 EXPECT_EQ(APInt(32, 2), APInt(32, 1).rotl(APInt(32, 33)));
1417 EXPECT_EQ(APInt(32, 2), APInt(32, 1).rotl(APInt(33, 33)));
1418 EXPECT_EQ(APInt(32, (1 << 8)), APInt(32, 1).rotl(APInt(32, 40)));
1419 EXPECT_EQ(APInt(32, (1 << 30)), APInt(32, 1).rotl(APInt(31, 30)));
1420 EXPECT_EQ(APInt(32, (1 << 31)), APInt(32, 1).rotl(APInt(31, 31)));
1421
1422 EXPECT_EQ(APInt(32, 1), APInt(32, 1).rotl(APInt(1, 0)));
1423 EXPECT_EQ(APInt(32, 2), APInt(32, 1).rotl(APInt(1, 1)));
1424
1425 EXPECT_EQ(APInt(32, 16), APInt(32, 1).rotl(APInt(3, 4)));
1426
1427 EXPECT_EQ(APInt(32, 1), APInt(32, 1).rotl(APInt(64, 64)));
1428 EXPECT_EQ(APInt(32, 2), APInt(32, 1).rotl(APInt(64, 65)));
1429
1430 EXPECT_EQ(APInt(7, 24), APInt(7, 3).rotl(APInt(7, 3)));
1431 EXPECT_EQ(APInt(7, 24), APInt(7, 3).rotl(APInt(7, 10)));
1432 EXPECT_EQ(APInt(7, 24), APInt(7, 3).rotl(APInt(5, 10)));
1433 EXPECT_EQ(APInt(7, 6), APInt(7, 3).rotl(APInt(12, 120)));
1434
1435 EXPECT_EQ(APInt(8, 16), APInt(8, 16).rotr(0));
1436 EXPECT_EQ(APInt(8, 8), APInt(8, 16).rotr(1));
1437 EXPECT_EQ(APInt(8, 4), APInt(8, 16).rotr(2));
1438 EXPECT_EQ(APInt(8, 1), APInt(8, 16).rotr(4));
1439 EXPECT_EQ(APInt(8, 16), APInt(8, 16).rotr(8));
1440
1441 EXPECT_EQ(APInt(8, 1), APInt(8, 1).rotr(0));
1442 EXPECT_EQ(APInt(8, 128), APInt(8, 1).rotr(1));
1443 EXPECT_EQ(APInt(8, 64), APInt(8, 1).rotr(2));
1444 EXPECT_EQ(APInt(8, 16), APInt(8, 1).rotr(4));
1445 EXPECT_EQ(APInt(8, 1), APInt(8, 1).rotr(8));
1446
1447 EXPECT_EQ(APInt(32, (1 << 31)), APInt(32, 1).rotr(33));
1448 EXPECT_EQ(APInt(32, (1 << 31)), APInt(32, 1).rotr(APInt(32, 33)));
1449
1450 EXPECT_EQ(APInt(32, (1 << 31)), APInt(32, 1).rotr(33));
1451 EXPECT_EQ(APInt(32, (1 << 31)), APInt(32, 1).rotr(APInt(32, 33)));
1452 EXPECT_EQ(APInt(32, (1 << 31)), APInt(32, 1).rotr(APInt(33, 33)));
1453 EXPECT_EQ(APInt(32, (1 << 24)), APInt(32, 1).rotr(APInt(32, 40)));
1454
1455 EXPECT_EQ(APInt(32, (1 << 2)), APInt(32, 1).rotr(APInt(31, 30)));
1456 EXPECT_EQ(APInt(32, (1 << 1)), APInt(32, 1).rotr(APInt(31, 31)));
1457
1458 EXPECT_EQ(APInt(32, 1), APInt(32, 1).rotr(APInt(1, 0)));
1459 EXPECT_EQ(APInt(32, (1 << 31)), APInt(32, 1).rotr(APInt(1, 1)));
1460
1461 EXPECT_EQ(APInt(32, (1 << 28)), APInt(32, 1).rotr(APInt(3, 4)));
1462
1463 EXPECT_EQ(APInt(32, 1), APInt(32, 1).rotr(APInt(64, 64)));
1464 EXPECT_EQ(APInt(32, (1 << 31)), APInt(32, 1).rotr(APInt(64, 65)));
1465
1466 EXPECT_EQ(APInt(7, 48), APInt(7, 3).rotr(APInt(7, 3)));
1467 EXPECT_EQ(APInt(7, 48), APInt(7, 3).rotr(APInt(7, 10)));
1468 EXPECT_EQ(APInt(7, 48), APInt(7, 3).rotr(APInt(5, 10)));
1469 EXPECT_EQ(APInt(7, 65), APInt(7, 3).rotr(APInt(12, 120)));
1470
1471 APInt Big(256, "00004000800000000000000000003fff8000000000000003", 16);
1472 APInt Rot(256, "3fff80000000000000030000000000000000000040008000", 16);
1473 EXPECT_EQ(Rot, Big.rotr(144));
1474
1475 EXPECT_EQ(APInt(32, 8), APInt(32, 1).rotl(Big));
1476 EXPECT_EQ(APInt(32, (1 << 29)), APInt(32, 1).rotr(Big));
1477 }
1478
1479 TEST(APIntTest, Splat) {
1480 APInt ValA(8, 0x01);
1481 EXPECT_EQ(ValA, APInt::getSplat(8, ValA));
1482 EXPECT_EQ(APInt(64, 0x0101010101010101ULL), APInt::getSplat(64, ValA));
1483
1484 APInt ValB(3, 5);
1485 EXPECT_EQ(APInt(4, 0xD), APInt::getSplat(4, ValB));
1486 EXPECT_EQ(APInt(15, 0xDB6D), APInt::getSplat(15, ValB));
1487 }
1488
1489 TEST(APIntTest, tcDecrement) {
1490 // Test single word decrement.
1491
1492 // No out borrow.
1493 {
1494 APInt::WordType singleWord = ~APInt::WordType(0) << (APInt::APINT_BITS_PER_WORD - 1);
1495 APInt::WordType carry = APInt::tcDecrement(&singleWord, 1);
1496 EXPECT_EQ(carry, APInt::WordType(0));
1497 EXPECT_EQ(singleWord, ~APInt::WordType(0) >> 1);
1498 }
1499
1500 // With out borrow.
1501 {
1502 APInt::WordType singleWord = 0;
1503 APInt::WordType carry = APInt::tcDecrement(&singleWord, 1);
1504 EXPECT_EQ(carry, APInt::WordType(1));
1505 EXPECT_EQ(singleWord, ~APInt::WordType(0));
1506 }
1507
1508 // Test multiword decrement.
1509
1510 // No across word borrow, no out borrow.
1511 {
1512 APInt::WordType test[4] = {0x1, 0x1, 0x1, 0x1};
1513 APInt::WordType expected[4] = {0x0, 0x1, 0x1, 0x1};
1514 APInt::tcDecrement(test, 4);
1515 EXPECT_EQ(APInt::tcCompare(test, expected, 4), 0);
1516 }
1517
1518 // 1 across word borrow, no out borrow.
1519 {
1520 APInt::WordType test[4] = {0x0, 0xF, 0x1, 0x1};
1521 APInt::WordType expected[4] = {~APInt::WordType(0), 0xE, 0x1, 0x1};
1522 APInt::WordType carry = APInt::tcDecrement(test, 4);
1523 EXPECT_EQ(carry, APInt::WordType(0));
1524 EXPECT_EQ(APInt::tcCompare(test, expected, 4), 0);
1525 }
1526
1527 // 2 across word borrow, no out borrow.
1528 {
1529 APInt::WordType test[4] = {0x0, 0x0, 0xC, 0x1};
1530 APInt::WordType expected[4] = {~APInt::WordType(0), ~APInt::WordType(0), 0xB, 0x1};
1531 APInt::WordType carry = APInt::tcDecrement(test, 4);
1532 EXPECT_EQ(carry, APInt::WordType(0));
1533 EXPECT_EQ(APInt::tcCompare(test, expected, 4), 0);
1534 }
1535
1536 // 3 across word borrow, no out borrow.
1537 {
1538 APInt::WordType test[4] = {0x0, 0x0, 0x0, 0x1};
1539 APInt::WordType expected[4] = {~APInt::WordType(0), ~APInt::WordType(0), ~APInt::WordType(0), 0x0};
1540 APInt::WordType carry = APInt::tcDecrement(test, 4);
1541 EXPECT_EQ(carry, APInt::WordType(0));
1542 EXPECT_EQ(APInt::tcCompare(test, expected, 4), 0);
1543 }
1544
1545 // 3 across word borrow, with out borrow.
1546 {
1547 APInt::WordType test[4] = {0x0, 0x0, 0x0, 0x0};
1548 APInt::WordType expected[4] = {~APInt::WordType(0), ~APInt::WordType(0), ~APInt::WordType(0), ~APInt::WordType(0)};
1549 APInt::WordType carry = APInt::tcDecrement(test, 4);
1550 EXPECT_EQ(carry, APInt::WordType(1));
1551 EXPECT_EQ(APInt::tcCompare(test, expected, 4), 0);
1552 }
1553 }
1554
1555 TEST(APIntTest, arrayAccess) {
1556 // Single word check.
1557 uint64_t E1 = 0x2CA7F46BF6569915ULL;
1558 APInt A1(64, E1);
1559 for (unsigned i = 0, e = 64; i < e; ++i) {
1560 EXPECT_EQ(bool(E1 & (1ULL << i)),
1561 A1[i]);
1562 }
1563
1564 // Multiword check.
1565 APInt::WordType E2[4] = {
1566 0xEB6EB136591CBA21ULL,
1567 0x7B9358BD6A33F10AULL,
1568 0x7E7FFA5EADD8846ULL,
1569 0x305F341CA00B613DULL
1570 };
1571 APInt A2(APInt::APINT_BITS_PER_WORD*4, E2);
1572 for (unsigned i = 0; i < 4; ++i) {
1573 for (unsigned j = 0; j < APInt::APINT_BITS_PER_WORD; ++j) {
1574 EXPECT_EQ(bool(E2[i] & (1ULL << j)),
1575 A2[i*APInt::APINT_BITS_PER_WORD + j]);
1576 }
1577 }
1578 }
1579
1580 TEST(APIntTest, LargeAPIntConstruction) {
1581 // Check that we can properly construct very large APInt. It is very
1582 // unlikely that people will ever do this, but it is a legal input,
1583 // so we should not crash on it.
1584 APInt A9(UINT32_MAX, 0);
1585 EXPECT_FALSE(A9.getBoolValue());
1586 }
1587
1588 TEST(APIntTest, nearestLogBase2) {
1589 // Single word check.
1590
1591 // Test round up.
1592 uint64_t I1 = 0x1800001;
1593 APInt A1(64, I1);
1594 EXPECT_EQ(A1.nearestLogBase2(), A1.ceilLogBase2());
1595
1596 // Test round down.
1597 uint64_t I2 = 0x1000011;
1598 APInt A2(64, I2);
1599 EXPECT_EQ(A2.nearestLogBase2(), A2.logBase2());
1600
1601 // Test ties round up.
1602 uint64_t I3 = 0x1800000;
1603 APInt A3(64, I3);
1604 EXPECT_EQ(A3.nearestLogBase2(), A3.ceilLogBase2());
1605
1606 // Multiple word check.
1607
1608 // Test round up.
1609 APInt::WordType I4[4] = {0x0, 0xF, 0x18, 0x0};
1610 APInt A4(APInt::APINT_BITS_PER_WORD*4, I4);
1611 EXPECT_EQ(A4.nearestLogBase2(), A4.ceilLogBase2());
1612
1613 // Test round down.
1614 APInt::WordType I5[4] = {0x0, 0xF, 0x10, 0x0};
1615 APInt A5(APInt::APINT_BITS_PER_WORD*4, I5);
1616 EXPECT_EQ(A5.nearestLogBase2(), A5.logBase2());
1617
1618 // Test ties round up.
1619 uint64_t I6[4] = {0x0, 0x0, 0x0, 0x18};
1620 APInt A6(APInt::APINT_BITS_PER_WORD*4, I6);
1621 EXPECT_EQ(A6.nearestLogBase2(), A6.ceilLogBase2());
1622
1623 // Test BitWidth == 1 special cases.
1624 APInt A7(1, 1);
1625 EXPECT_EQ(A7.nearestLogBase2(), 0ULL);
1626 APInt A8(1, 0);
1627 EXPECT_EQ(A8.nearestLogBase2(), UINT32_MAX);
1628
1629 // Test the zero case when we have a bit width large enough such
1630 // that the bit width is larger than UINT32_MAX-1.
1631 APInt A9(UINT32_MAX, 0);
1632 EXPECT_EQ(A9.nearestLogBase2(), UINT32_MAX);
1633 }
1634
1635 TEST(APIntTest, IsSplat) {
1636 APInt A(32, 0x01010101);
1637 EXPECT_FALSE(A.isSplat(1));
1638 EXPECT_FALSE(A.isSplat(2));
1639 EXPECT_FALSE(A.isSplat(4));
1640 EXPECT_TRUE(A.isSplat(8));
1641 EXPECT_TRUE(A.isSplat(16));
1642 EXPECT_TRUE(A.isSplat(32));
1643
1644 APInt B(24, 0xAAAAAA);
1645 EXPECT_FALSE(B.isSplat(1));
1646 EXPECT_TRUE(B.isSplat(2));
1647 EXPECT_TRUE(B.isSplat(4));
1648 EXPECT_TRUE(B.isSplat(8));
1649 EXPECT_TRUE(B.isSplat(24));
1650
1651 APInt C(24, 0xABAAAB);
1652 EXPECT_FALSE(C.isSplat(1));
1653 EXPECT_FALSE(C.isSplat(2));
1654 EXPECT_FALSE(C.isSplat(4));
1655 EXPECT_FALSE(C.isSplat(8));
1656 EXPECT_TRUE(C.isSplat(24));
1657
1658 APInt D(32, 0xABBAABBA);
1659 EXPECT_FALSE(D.isSplat(1));
1660 EXPECT_FALSE(D.isSplat(2));
1661 EXPECT_FALSE(D.isSplat(4));
1662 EXPECT_FALSE(D.isSplat(8));
1663 EXPECT_TRUE(D.isSplat(16));
1664 EXPECT_TRUE(D.isSplat(32));
1665
1666 APInt E(32, 0);
1667 EXPECT_TRUE(E.isSplat(1));
1668 EXPECT_TRUE(E.isSplat(2));
1669 EXPECT_TRUE(E.isSplat(4));
1670 EXPECT_TRUE(E.isSplat(8));
1671 EXPECT_TRUE(E.isSplat(16));
1672 EXPECT_TRUE(E.isSplat(32));
1673 }
1674
1675 TEST(APIntTest, isMask) {
1676 EXPECT_FALSE(APInt(32, 0x01010101).isMask());
1677 EXPECT_FALSE(APInt(32, 0xf0000000).isMask());
1678 EXPECT_FALSE(APInt(32, 0xffff0000).isMask());
1679 EXPECT_FALSE(APInt(32, 0xff << 1).isMask());
1680
1681 for (int N : { 1, 2, 3, 4, 7, 8, 16, 32, 64, 127, 128, 129, 256 }) {
1682 EXPECT_FALSE(APInt(N, 0).isMask());
1683
1684 APInt One(N, 1);
1685 for (int I = 1; I <= N; ++I) {
1686 APInt MaskVal = One.shl(I) - 1;
1687 EXPECT_TRUE(MaskVal.isMask());
1688 EXPECT_TRUE(MaskVal.isMask(I));
1689 }
1690 }
1691 }
1692
1693 TEST(APIntTest, isShiftedMask) {
1694 EXPECT_FALSE(APInt(32, 0x01010101).isShiftedMask());
1695 EXPECT_TRUE(APInt(32, 0xf0000000).isShiftedMask());
1696 EXPECT_TRUE(APInt(32, 0xffff0000).isShiftedMask());
1697 EXPECT_TRUE(APInt(32, 0xff << 1).isShiftedMask());
1698
1699 for (int N : { 1, 2, 3, 4, 7, 8, 16, 32, 64, 127, 128, 129, 256 }) {
1700 EXPECT_FALSE(APInt(N, 0).isShiftedMask());
1701
1702 APInt One(N, 1);
1703 for (int I = 1; I < N; ++I) {
1704 APInt MaskVal = One.shl(I) - 1;
1705 EXPECT_TRUE(MaskVal.isShiftedMask());
1706 }
1707 for (int I = 1; I < N - 1; ++I) {
1708 APInt MaskVal = One.shl(I);
1709 EXPECT_TRUE(MaskVal.isShiftedMask());
1710 }
1711 for (int I = 1; I < N; ++I) {
1712 APInt MaskVal = APInt::getHighBitsSet(N, I);
1713 EXPECT_TRUE(MaskVal.isShiftedMask());
1714 }
1715 }
1716 }
1717
1718 // Test that self-move works, but only when we're using MSVC.
1719 #if defined(_MSC_VER)
1720 #if defined(__clang__)
1721 // Disable the pragma warning from versions of Clang without -Wself-move
1722 #pragma clang diagnostic push
1723 #pragma clang diagnostic ignored "-Wunknown-pragmas"
1724 // Disable the warning that triggers on exactly what is being tested.
1725 #pragma clang diagnostic push
1726 #pragma clang diagnostic ignored "-Wself-move"
1727 #endif
1728 TEST(APIntTest, SelfMoveAssignment) {
1729 APInt X(32, 0xdeadbeef);
1730 X = std::move(X);
1731 EXPECT_EQ(32u, X.getBitWidth());
1732 EXPECT_EQ(0xdeadbeefULL, X.getLimitedValue());
1733
1734 uint64_t Bits[] = {0xdeadbeefdeadbeefULL, 0xdeadbeefdeadbeefULL};
1735 APInt Y(128, Bits);
1736 Y = std::move(Y);
1737 EXPECT_EQ(128u, Y.getBitWidth());
1738 EXPECT_EQ(~0ULL, Y.getLimitedValue());
1739 const uint64_t *Raw = Y.getRawData();
1740 EXPECT_EQ(2u, Y.getNumWords());
1741 EXPECT_EQ(0xdeadbeefdeadbeefULL, Raw[0]);
1742 EXPECT_EQ(0xdeadbeefdeadbeefULL, Raw[1]);
1743 }
1744 #if defined(__clang__)
1745 #pragma clang diagnostic pop
1746 #pragma clang diagnostic pop
1747 #endif
1748 #endif // _MSC_VER
1749
1750 TEST(APIntTest, reverseBits) {
1751 EXPECT_EQ(1, APInt(1, 1).reverseBits());
1752 EXPECT_EQ(0, APInt(1, 0).reverseBits());
1753
1754 EXPECT_EQ(3, APInt(2, 3).reverseBits());
1755 EXPECT_EQ(3, APInt(2, 3).reverseBits());
1756
1757 EXPECT_EQ(0xb, APInt(4, 0xd).reverseBits());
1758 EXPECT_EQ(0xd, APInt(4, 0xb).reverseBits());
1759 EXPECT_EQ(0xf, APInt(4, 0xf).reverseBits());
1760
1761 EXPECT_EQ(0x30, APInt(7, 0x6).reverseBits());
1762 EXPECT_EQ(0x5a, APInt(7, 0x2d).reverseBits());
1763
1764 EXPECT_EQ(0x0f, APInt(8, 0xf0).reverseBits());
1765 EXPECT_EQ(0xf0, APInt(8, 0x0f).reverseBits());
1766
1767 EXPECT_EQ(0x0f0f, APInt(16, 0xf0f0).reverseBits());
1768 EXPECT_EQ(0xf0f0, APInt(16, 0x0f0f).reverseBits());
1769
1770 EXPECT_EQ(0x0f0f0f0f, APInt(32, 0xf0f0f0f0).reverseBits());
1771 EXPECT_EQ(0xf0f0f0f0, APInt(32, 0x0f0f0f0f).reverseBits());
1772
1773 EXPECT_EQ(0x402880a0 >> 1, APInt(31, 0x05011402).reverseBits());
1774
1775 EXPECT_EQ(0x0f0f0f0f, APInt(32, 0xf0f0f0f0).reverseBits());
1776 EXPECT_EQ(0xf0f0f0f0, APInt(32, 0x0f0f0f0f).reverseBits());
1777
1778 EXPECT_EQ(0x0f0f0f0f0f0f0f0f, APInt(64, 0xf0f0f0f0f0f0f0f0).reverseBits());
1779 EXPECT_EQ(0xf0f0f0f0f0f0f0f0, APInt(64, 0x0f0f0f0f0f0f0f0f).reverseBits());
1780
1781 for (unsigned N : { 1, 8, 16, 24, 31, 32, 33,
1782 63, 64, 65, 127, 128, 257, 1024 }) {
1783 for (unsigned I = 0; I < N; ++I) {
1784 APInt X = APInt::getOneBitSet(N, I);
1785 APInt Y = APInt::getOneBitSet(N, N - (I + 1));
1786 EXPECT_EQ(Y, X.reverseBits());
1787 EXPECT_EQ(X, Y.reverseBits());
1788 }
1789 }
1790 }
1791
1792 TEST(APIntTest, insertBits) {
1793 APInt iSrc(31, 0x00123456);
1794
1795 // Direct copy.
1796 APInt i31(31, 0x76543210ull);
1797 i31.insertBits(iSrc, 0);
1798 EXPECT_EQ(static_cast<int64_t>(0x00123456ull), i31.getSExtValue());
1799
1800 // Single word src/dst insertion.
1801 APInt i63(63, 0x01234567FFFFFFFFull);
1802 i63.insertBits(iSrc, 4);
1803 EXPECT_EQ(static_cast<int64_t>(0x012345600123456Full), i63.getSExtValue());
1804
1805 // Insert single word src into one word of dst.
1806 APInt i120(120, UINT64_MAX, true);
1807 i120.insertBits(iSrc, 8);
1808 EXPECT_EQ(static_cast<int64_t>(0xFFFFFF80123456FFull), i120.getSExtValue());
1809
1810 // Insert single word src into two words of dst.
1811 APInt i127(127, UINT64_MAX, true);
1812 i127.insertBits(iSrc, 48);
1813 EXPECT_EQ(i127.extractBits(64, 0).getZExtValue(), 0x3456FFFFFFFFFFFFull);
1814 EXPECT_EQ(i127.extractBits(63, 64).getZExtValue(), 0x7FFFFFFFFFFF8012ull);
1815
1816 // Insert on word boundaries.
1817 APInt i128(128, 0);
1818 i128.insertBits(APInt(64, UINT64_MAX, true), 0);
1819 i128.insertBits(APInt(64, UINT64_MAX, true), 64);
1820 EXPECT_EQ(-1, i128.getSExtValue());
1821
1822 APInt i256(256, UINT64_MAX, true);
1823 i256.insertBits(APInt(65, 0), 0);
1824 i256.insertBits(APInt(69, 0), 64);
1825 i256.insertBits(APInt(128, 0), 128);
1826 EXPECT_EQ(0u, i256.getSExtValue());
1827
1828 APInt i257(257, 0);
1829 i257.insertBits(APInt(96, UINT64_MAX, true), 64);
1830 EXPECT_EQ(i257.extractBits(64, 0).getZExtValue(), 0x0000000000000000ull);
1831 EXPECT_EQ(i257.extractBits(64, 64).getZExtValue(), 0xFFFFFFFFFFFFFFFFull);
1832 EXPECT_EQ(i257.extractBits(64, 128).getZExtValue(), 0x00000000FFFFFFFFull);
1833 EXPECT_EQ(i257.extractBits(65, 192).getZExtValue(), 0x0000000000000000ull);
1834
1835 // General insertion.
1836 APInt i260(260, UINT64_MAX, true);
1837 i260.insertBits(APInt(129, 1ull << 48), 15);
1838 EXPECT_EQ(i260.extractBits(64, 0).getZExtValue(), 0x8000000000007FFFull);
1839 EXPECT_EQ(i260.extractBits(64, 64).getZExtValue(), 0x0000000000000000ull);
1840 EXPECT_EQ(i260.extractBits(64, 128).getZExtValue(), 0xFFFFFFFFFFFF0000ull);
1841 EXPECT_EQ(i260.extractBits(64, 192).getZExtValue(), 0xFFFFFFFFFFFFFFFFull);
1842 EXPECT_EQ(i260.extractBits(4, 256).getZExtValue(), 0x000000000000000Full);
1843 }
1844
1845 TEST(APIntTest, extractBits) {
1846 APInt i32(32, 0x1234567);
1847 EXPECT_EQ(0x3456, i32.extractBits(16, 4));
1848
1849 APInt i257(257, 0xFFFFFFFFFF0000FFull, true);
1850 EXPECT_EQ(0xFFu, i257.extractBits(16, 0));
1851 EXPECT_EQ((0xFFu >> 1), i257.extractBits(16, 1));
1852 EXPECT_EQ(-1, i257.extractBits(32, 64).getSExtValue());
1853 EXPECT_EQ(-1, i257.extractBits(128, 128).getSExtValue());
1854 EXPECT_EQ(-1, i257.extractBits(66, 191).getSExtValue());
1855 EXPECT_EQ(static_cast<int64_t>(0xFFFFFFFFFF80007Full),
1856 i257.extractBits(128, 1).getSExtValue());
1857 EXPECT_EQ(static_cast<int64_t>(0xFFFFFFFFFF80007Full),
1858 i257.extractBits(129, 1).getSExtValue());
1859
1860 EXPECT_EQ(APInt(48, 0),
1861 APInt(144, "281474976710655", 10).extractBits(48, 48));
1862 EXPECT_EQ(APInt(48, 0x0000ffffffffffffull),
1863 APInt(144, "281474976710655", 10).extractBits(48, 0));
1864 EXPECT_EQ(APInt(48, 0x00007fffffffffffull),
1865 APInt(144, "281474976710655", 10).extractBits(48, 1));
1866 }
1867
1868 TEST(APIntTest, getLowBitsSet) {
1869 APInt i128lo64 = APInt::getLowBitsSet(128, 64);
1870 EXPECT_EQ(0u, i128lo64.countLeadingOnes());
1871 EXPECT_EQ(64u, i128lo64.countLeadingZeros());
1872 EXPECT_EQ(64u, i128lo64.getActiveBits());
1873 EXPECT_EQ(0u, i128lo64.countTrailingZeros());
1874 EXPECT_EQ(64u, i128lo64.countTrailingOnes());
1875 EXPECT_EQ(64u, i128lo64.countPopulation());
1876 }
1877
1878 TEST(APIntTest, getBitsSet) {
1879 APInt i64hi1lo1 = APInt::getBitsSet(64, 1, 63);
1880 EXPECT_EQ(0u, i64hi1lo1.countLeadingOnes());
1881 EXPECT_EQ(1u, i64hi1lo1.countLeadingZeros());
1882 EXPECT_EQ(63u, i64hi1lo1.getActiveBits());
1883 EXPECT_EQ(1u, i64hi1lo1.countTrailingZeros());
1884 EXPECT_EQ(0u, i64hi1lo1.countTrailingOnes());
1885 EXPECT_EQ(62u, i64hi1lo1.countPopulation());
1886
1887 APInt i127hi1lo1 = APInt::getBitsSet(127, 1, 126);
1888 EXPECT_EQ(0u, i127hi1lo1.countLeadingOnes());
1889 EXPECT_EQ(1u, i127hi1lo1.countLeadingZeros());
1890 EXPECT_EQ(126u, i127hi1lo1.getActiveBits());
1891 EXPECT_EQ(1u, i127hi1lo1.countTrailingZeros());
1892 EXPECT_EQ(0u, i127hi1lo1.countTrailingOnes());
1893 EXPECT_EQ(125u, i127hi1lo1.countPopulation());
1894 }
1895
1896 TEST(APIntTest, getHighBitsSet) {
1897 APInt i64hi32 = APInt::getHighBitsSet(64, 32);
1898 EXPECT_EQ(32u, i64hi32.countLeadingOnes());
1899 EXPECT_EQ(0u, i64hi32.countLeadingZeros());
1900 EXPECT_EQ(64u, i64hi32.getActiveBits());
1901 EXPECT_EQ(32u, i64hi32.countTrailingZeros());
1902 EXPECT_EQ(0u, i64hi32.countTrailingOnes());
1903 EXPECT_EQ(32u, i64hi32.countPopulation());
1904 }
1905
1906 TEST(APIntTest, getBitsSetFrom) {
1907 APInt i64hi31 = APInt::getBitsSetFrom(64, 33);
1908 EXPECT_EQ(31u, i64hi31.countLeadingOnes());
1909 EXPECT_EQ(0u, i64hi31.countLeadingZeros());
1910 EXPECT_EQ(64u, i64hi31.getActiveBits());
1911 EXPECT_EQ(33u, i64hi31.countTrailingZeros());
1912 EXPECT_EQ(0u, i64hi31.countTrailingOnes());
1913 EXPECT_EQ(31u, i64hi31.countPopulation());
1914 }
1915
1916 TEST(APIntTest, setLowBits) {
1917 APInt i64lo32(64, 0);
1918 i64lo32.setLowBits(32);
1919 EXPECT_EQ(0u, i64lo32.countLeadingOnes());
1920 EXPECT_EQ(32u, i64lo32.countLeadingZeros());
1921 EXPECT_EQ(32u, i64lo32.getActiveBits());
1922 EXPECT_EQ(0u, i64lo32.countTrailingZeros());
1923 EXPECT_EQ(32u, i64lo32.countTrailingOnes());
1924 EXPECT_EQ(32u, i64lo32.countPopulation());
1925
1926 APInt i128lo64(128, 0);
1927 i128lo64.setLowBits(64);
1928 EXPECT_EQ(0u, i128lo64.countLeadingOnes());
1929 EXPECT_EQ(64u, i128lo64.countLeadingZeros());
1930 EXPECT_EQ(64u, i128lo64.getActiveBits());
1931 EXPECT_EQ(0u, i128lo64.countTrailingZeros());
1932 EXPECT_EQ(64u, i128lo64.countTrailingOnes());
1933 EXPECT_EQ(64u, i128lo64.countPopulation());
1934
1935 APInt i128lo24(128, 0);
1936 i128lo24.setLowBits(24);
1937 EXPECT_EQ(0u, i128lo24.countLeadingOnes());
1938 EXPECT_EQ(104u, i128lo24.countLeadingZeros());
1939 EXPECT_EQ(24u, i128lo24.getActiveBits());
1940 EXPECT_EQ(0u, i128lo24.countTrailingZeros());
1941 EXPECT_EQ(24u, i128lo24.countTrailingOnes());
1942 EXPECT_EQ(24u, i128lo24.countPopulation());
1943
1944 APInt i128lo104(128, 0);
1945 i128lo104.setLowBits(104);
1946 EXPECT_EQ(0u, i128lo104.countLeadingOnes());
1947 EXPECT_EQ(24u, i128lo104.countLeadingZeros());
1948 EXPECT_EQ(104u, i128lo104.getActiveBits());
1949 EXPECT_EQ(0u, i128lo104.countTrailingZeros());
1950 EXPECT_EQ(104u, i128lo104.countTrailingOnes());
1951 EXPECT_EQ(104u, i128lo104.countPopulation());
1952
1953 APInt i128lo0(128, 0);
1954 i128lo0.setLowBits(0);
1955 EXPECT_EQ(0u, i128lo0.countLeadingOnes());
1956 EXPECT_EQ(128u, i128lo0.countLeadingZeros());
1957 EXPECT_EQ(0u, i128lo0.getActiveBits());
1958 EXPECT_EQ(128u, i128lo0.countTrailingZeros());
1959 EXPECT_EQ(0u, i128lo0.countTrailingOnes());
1960 EXPECT_EQ(0u, i128lo0.countPopulation());
1961
1962 APInt i80lo79(80, 0);
1963 i80lo79.setLowBits(79);
1964 EXPECT_EQ(0u, i80lo79.countLeadingOnes());
1965 EXPECT_EQ(1u, i80lo79.countLeadingZeros());
1966 EXPECT_EQ(79u, i80lo79.getActiveBits());
1967 EXPECT_EQ(0u, i80lo79.countTrailingZeros());
1968 EXPECT_EQ(79u, i80lo79.countTrailingOnes());
1969 EXPECT_EQ(79u, i80lo79.countPopulation());
1970 }
1971
1972 TEST(APIntTest, setHighBits) {
1973 APInt i64hi32(64, 0);
1974 i64hi32.setHighBits(32);
1975 EXPECT_EQ(32u, i64hi32.countLeadingOnes());
1976 EXPECT_EQ(0u, i64hi32.countLeadingZeros());
1977 EXPECT_EQ(64u, i64hi32.getActiveBits());
1978 EXPECT_EQ(32u, i64hi32.countTrailingZeros());
1979 EXPECT_EQ(0u, i64hi32.countTrailingOnes());
1980 EXPECT_EQ(32u, i64hi32.countPopulation());
1981
1982 APInt i128hi64(128, 0);
1983 i128hi64.setHighBits(64);
1984 EXPECT_EQ(64u, i128hi64.countLeadingOnes());
1985 EXPECT_EQ(0u, i128hi64.countLeadingZeros());
1986 EXPECT_EQ(128u, i128hi64.getActiveBits());
1987 EXPECT_EQ(64u, i128hi64.countTrailingZeros());
1988 EXPECT_EQ(0u, i128hi64.countTrailingOnes());
1989 EXPECT_EQ(64u, i128hi64.countPopulation());
1990
1991 APInt i128hi24(128, 0);
1992 i128hi24.setHighBits(24);
1993 EXPECT_EQ(24u, i128hi24.countLeadingOnes());
1994 EXPECT_EQ(0u, i128hi24.countLeadingZeros());
1995 EXPECT_EQ(128u, i128hi24.getActiveBits());
1996 EXPECT_EQ(104u, i128hi24.countTrailingZeros());
1997 EXPECT_EQ(0u, i128hi24.countTrailingOnes());
1998 EXPECT_EQ(24u, i128hi24.countPopulation());
1999
2000 APInt i128hi104(128, 0);
2001 i128hi104.setHighBits(104);
2002 EXPECT_EQ(104u, i128hi104.countLeadingOnes());
2003 EXPECT_EQ(0u, i128hi104.countLeadingZeros());
2004 EXPECT_EQ(128u, i128hi104.getActiveBits());
2005 EXPECT_EQ(24u, i128hi104.countTrailingZeros());
2006 EXPECT_EQ(0u, i128hi104.countTrailingOnes());
2007 EXPECT_EQ(104u, i128hi104.countPopulation());
2008
2009 APInt i128hi0(128, 0);
2010 i128hi0.setHighBits(0);
2011 EXPECT_EQ(0u, i128hi0.countLeadingOnes());
2012 EXPECT_EQ(128u, i128hi0.countLeadingZeros());
2013 EXPECT_EQ(0u, i128hi0.getActiveBits());
2014 EXPECT_EQ(128u, i128hi0.countTrailingZeros());
2015 EXPECT_EQ(0u, i128hi0.countTrailingOnes());
2016 EXPECT_EQ(0u, i128hi0.countPopulation());
2017
2018 APInt i80hi1(80, 0);
2019 i80hi1.setHighBits(1);
2020 EXPECT_EQ(1u, i80hi1.countLeadingOnes());
2021 EXPECT_EQ(0u, i80hi1.countLeadingZeros());
2022 EXPECT_EQ(80u, i80hi1.getActiveBits());
2023 EXPECT_EQ(79u, i80hi1.countTrailingZeros());
2024 EXPECT_EQ(0u, i80hi1.countTrailingOnes());
2025 EXPECT_EQ(1u, i80hi1.countPopulation());
2026
2027 APInt i32hi16(32, 0);
2028 i32hi16.setHighBits(16);
2029 EXPECT_EQ(16u, i32hi16.countLeadingOnes());
2030 EXPECT_EQ(0u, i32hi16.countLeadingZeros());
2031 EXPECT_EQ(32u, i32hi16.getActiveBits());
2032 EXPECT_EQ(16u, i32hi16.countTrailingZeros());
2033 EXPECT_EQ(0u, i32hi16.countTrailingOnes());
2034 EXPECT_EQ(16u, i32hi16.countPopulation());
2035 }
2036
2037 TEST(APIntTest, setBitsFrom) {
2038 APInt i64from63(64, 0);
2039 i64from63.setBitsFrom(63);
2040 EXPECT_EQ(1u, i64from63.countLeadingOnes());
2041 EXPECT_EQ(0u, i64from63.countLeadingZeros());
2042 EXPECT_EQ(64u, i64from63.getActiveBits());
2043 EXPECT_EQ(63u, i64from63.countTrailingZeros());
2044 EXPECT_EQ(0u, i64from63.countTrailingOnes());
2045 EXPECT_EQ(1u, i64from63.countPopulation());
2046 }
2047
2048 TEST(APIntTest, setAllBits) {
2049 APInt i32(32, 0);
2050 i32.setAllBits();
2051 EXPECT_EQ(32u, i32.countLeadingOnes());
2052 EXPECT_EQ(0u, i32.countLeadingZeros());
2053 EXPECT_EQ(32u, i32.getActiveBits());
2054 EXPECT_EQ(0u, i32.countTrailingZeros());
2055 EXPECT_EQ(32u, i32.countTrailingOnes());
2056 EXPECT_EQ(32u, i32.countPopulation());
2057
2058 APInt i64(64, 0);
2059 i64.setAllBits();
2060 EXPECT_EQ(64u, i64.countLeadingOnes());
2061 EXPECT_EQ(0u, i64.countLeadingZeros());
2062 EXPECT_EQ(64u, i64.getActiveBits());
2063 EXPECT_EQ(0u, i64.countTrailingZeros());
2064 EXPECT_EQ(64u, i64.countTrailingOnes());
2065 EXPECT_EQ(64u, i64.countPopulation());
2066
2067 APInt i96(96, 0);
2068 i96.setAllBits();
2069 EXPECT_EQ(96u, i96.countLeadingOnes());
2070 EXPECT_EQ(0u, i96.countLeadingZeros());
2071 EXPECT_EQ(96u, i96.getActiveBits());
2072 EXPECT_EQ(0u, i96.countTrailingZeros());
2073 EXPECT_EQ(96u, i96.countTrailingOnes());
2074 EXPECT_EQ(96u, i96.countPopulation());
2075
2076 APInt i128(128, 0);
2077 i128.setAllBits();
2078 EXPECT_EQ(128u, i128.countLeadingOnes());
2079 EXPECT_EQ(0u, i128.countLeadingZeros());
2080 EXPECT_EQ(128u, i128.getActiveBits());
2081 EXPECT_EQ(0u, i128.countTrailingZeros());
2082 EXPECT_EQ(128u, i128.countTrailingOnes());
2083 EXPECT_EQ(128u, i128.countPopulation());
2084 }
2085
2086 TEST(APIntTest, getLoBits) {
2087 APInt i32(32, 0xfa);
2088 i32.setHighBits(1);
2089 EXPECT_EQ(0xa, i32.getLoBits(4));
2090 APInt i128(128, 0xfa);
2091 i128.setHighBits(1);
2092 EXPECT_EQ(0xa, i128.getLoBits(4));
2093 }
2094
2095 TEST(APIntTest, getHiBits) {
2096 APInt i32(32, 0xfa);
2097 i32.setHighBits(2);
2098 EXPECT_EQ(0xc, i32.getHiBits(4));
2099 APInt i128(128, 0xfa);
2100 i128.setHighBits(2);
2101 EXPECT_EQ(0xc, i128.getHiBits(4));
2102 }
2103
2104 TEST(APIntTest, GCD) {
2105 using APIntOps::GreatestCommonDivisor;
2106
2107 for (unsigned Bits : {1, 2, 32, 63, 64, 65}) {
2108 // Test some corner cases near zero.
2109 APInt Zero(Bits, 0), One(Bits, 1);
2110 EXPECT_EQ(GreatestCommonDivisor(Zero, Zero), Zero);
2111 EXPECT_EQ(GreatestCommonDivisor(Zero, One), One);
2112 EXPECT_EQ(GreatestCommonDivisor(One, Zero), One);
2113 EXPECT_EQ(GreatestCommonDivisor(One, One), One);
2114
2115 if (Bits > 1) {
2116 APInt Two(Bits, 2);
2117 EXPECT_EQ(GreatestCommonDivisor(Zero, Two), Two);
2118 EXPECT_EQ(GreatestCommonDivisor(One, Two), One);
2119 EXPECT_EQ(GreatestCommonDivisor(Two, Two), Two);
2120
2121 // Test some corner cases near the highest representable value.
2122 APInt Max(Bits, 0);
2123 Max.setAllBits();
2124 EXPECT_EQ(GreatestCommonDivisor(Zero, Max), Max);
2125 EXPECT_EQ(GreatestCommonDivisor(One, Max), One);
2126 EXPECT_EQ(GreatestCommonDivisor(Two, Max), One);
2127 EXPECT_EQ(GreatestCommonDivisor(Max, Max), Max);
2128
2129 APInt MaxOver2 = Max.udiv(Two);
2130 EXPECT_EQ(GreatestCommonDivisor(MaxOver2, Max), One);
2131 // Max - 1 == Max / 2 * 2, because Max is odd.
2132 EXPECT_EQ(GreatestCommonDivisor(MaxOver2, Max - 1), MaxOver2);
2133 }
2134 }
2135
2136 // Compute the 20th Mersenne prime.
2137 const unsigned BitWidth = 4450;
2138 APInt HugePrime = APInt::getLowBitsSet(BitWidth, 4423);
2139
2140 // 9931 and 123456 are coprime.
2141 APInt A = HugePrime * APInt(BitWidth, 9931);
2142 APInt B = HugePrime * APInt(BitWidth, 123456);
2143 APInt C = GreatestCommonDivisor(A, B);
2144 EXPECT_EQ(C, HugePrime);
2145 }
2146
2147 TEST(APIntTest, LogicalRightShift) {
2148 APInt i256(APInt::getHighBitsSet(256, 2));
2149
2150 i256.lshrInPlace(1);
2151 EXPECT_EQ(1U, i256.countLeadingZeros());
2152 EXPECT_EQ(253U, i256.countTrailingZeros());
2153 EXPECT_EQ(2U, i256.countPopulation());
2154
2155 i256.lshrInPlace(62);
2156 EXPECT_EQ(63U, i256.countLeadingZeros());
2157 EXPECT_EQ(191U, i256.countTrailingZeros());
2158 EXPECT_EQ(2U, i256.countPopulation());
2159
2160 i256.lshrInPlace(65);
2161 EXPECT_EQ(128U, i256.countLeadingZeros());
2162 EXPECT_EQ(126U, i256.countTrailingZeros());
2163 EXPECT_EQ(2U, i256.countPopulation());
2164
2165 i256.lshrInPlace(64);
2166 EXPECT_EQ(192U, i256.countLeadingZeros());
2167 EXPECT_EQ(62U, i256.countTrailingZeros());
2168 EXPECT_EQ(2U, i256.countPopulation());
2169
2170 i256.lshrInPlace(63);
2171 EXPECT_EQ(255U, i256.countLeadingZeros());
2172 EXPECT_EQ(0U, i256.countTrailingZeros());
2173 EXPECT_EQ(1U, i256.countPopulation());
2174
2175 // Ensure we handle large shifts of multi-word.
2176 const APInt neg_one(128, static_cast<uint64_t>(-1), true);
2177 EXPECT_EQ(0, neg_one.lshr(128));
2178 }
2179
2180 TEST(APIntTest, ArithmeticRightShift) {
2181 APInt i72(APInt::getHighBitsSet(72, 1));
2182 i72.ashrInPlace(46);
2183 EXPECT_EQ(47U, i72.countLeadingOnes());
2184 EXPECT_EQ(25U, i72.countTrailingZeros());
2185 EXPECT_EQ(47U, i72.countPopulation());
2186
2187 i72 = APInt::getHighBitsSet(72, 1);
2188 i72.ashrInPlace(64);
2189 EXPECT_EQ(65U, i72.countLeadingOnes());
2190 EXPECT_EQ(7U, i72.countTrailingZeros());
2191 EXPECT_EQ(65U, i72.countPopulation());
2192
2193 APInt i128(APInt::getHighBitsSet(128, 1));
2194 i128.ashrInPlace(64);
2195 EXPECT_EQ(65U, i128.countLeadingOnes());
2196 EXPECT_EQ(63U, i128.countTrailingZeros());
2197 EXPECT_EQ(65U, i128.countPopulation());
2198
2199 // Ensure we handle large shifts of multi-word.
2200 const APInt signmin32(APInt::getSignedMinValue(32));
2201 EXPECT_TRUE(signmin32.ashr(32).isAllOnesValue());
2202
2203 // Ensure we handle large shifts of multi-word.
2204 const APInt umax32(APInt::getSignedMaxValue(32));
2205 EXPECT_EQ(0, umax32.ashr(32));
2206
2207 // Ensure we handle large shifts of multi-word.
2208 const APInt signmin128(APInt::getSignedMinValue(128));
2209 EXPECT_TRUE(signmin128.ashr(128).isAllOnesValue());
2210
2211 // Ensure we handle large shifts of multi-word.
2212 const APInt umax128(APInt::getSignedMaxValue(128));
2213 EXPECT_EQ(0, umax128.ashr(128));
2214 }
2215
2216 TEST(APIntTest, LeftShift) {
2217 APInt i256(APInt::getLowBitsSet(256, 2));
2218
2219 i256 <<= 1;
2220 EXPECT_EQ(253U, i256.countLeadingZeros());
2221 EXPECT_EQ(1U, i256.countTrailingZeros());
2222 EXPECT_EQ(2U, i256.countPopulation());
2223
2224 i256 <<= 62;
2225 EXPECT_EQ(191U, i256.countLeadingZeros());
2226 EXPECT_EQ(63U, i256.countTrailingZeros());
2227 EXPECT_EQ(2U, i256.countPopulation());
2228
2229 i256 <<= 65;
2230 EXPECT_EQ(126U, i256.countLeadingZeros());
2231 EXPECT_EQ(128U, i256.countTrailingZeros());
2232 EXPECT_EQ(2U, i256.countPopulation());
2233
2234 i256 <<= 64;
2235 EXPECT_EQ(62U, i256.countLeadingZeros());
2236 EXPECT_EQ(192U, i256.countTrailingZeros());
2237 EXPECT_EQ(2U, i256.countPopulation());
2238
2239 i256 <<= 63;
2240 EXPECT_EQ(0U, i256.countLeadingZeros());
2241 EXPECT_EQ(255U, i256.countTrailingZeros());
2242 EXPECT_EQ(1U, i256.countPopulation());
2243
2244 // Ensure we handle large shifts of multi-word.
2245 const APInt neg_one(128, static_cast<uint64_t>(-1), true);
2246 EXPECT_EQ(0, neg_one.shl(128));
2247 }
2248
2249 TEST(APIntTest, isSubsetOf) {
2250 APInt i32_1(32, 1);
2251 APInt i32_2(32, 2);
2252 APInt i32_3(32, 3);
2253 EXPECT_FALSE(i32_3.isSubsetOf(i32_1));
2254 EXPECT_TRUE(i32_1.isSubsetOf(i32_3));
2255 EXPECT_FALSE(i32_2.isSubsetOf(i32_1));
2256 EXPECT_FALSE(i32_1.isSubsetOf(i32_2));
2257 EXPECT_TRUE(i32_3.isSubsetOf(i32_3));
2258
2259 APInt i128_1(128, 1);
2260 APInt i128_2(128, 2);
2261 APInt i128_3(128, 3);
2262 EXPECT_FALSE(i128_3.isSubsetOf(i128_1));
2263 EXPECT_TRUE(i128_1.isSubsetOf(i128_3));
2264 EXPECT_FALSE(i128_2.isSubsetOf(i128_1));
2265 EXPECT_FALSE(i128_1.isSubsetOf(i128_2));
2266 EXPECT_TRUE(i128_3.isSubsetOf(i128_3));
2267
2268 i128_1 <<= 64;
2269 i128_2 <<= 64;
2270 i128_3 <<= 64;
2271 EXPECT_FALSE(i128_3.isSubsetOf(i128_1));
2272 EXPECT_TRUE(i128_1.isSubsetOf(i128_3));
2273 EXPECT_FALSE(i128_2.isSubsetOf(i128_1));
2274 EXPECT_FALSE(i128_1.isSubsetOf(i128_2));
2275 EXPECT_TRUE(i128_3.isSubsetOf(i128_3));
2276 }
2277
2278 TEST(APIntTest, sext) {
2279 EXPECT_EQ(0, APInt(1, 0).sext(64));
2280 EXPECT_EQ(~uint64_t(0), APInt(1, 1).sext(64));
2281
2282 APInt i32_max(APInt::getSignedMaxValue(32).sext(63));
2283 EXPECT_EQ(32U, i32_max.countLeadingZeros());
2284 EXPECT_EQ(0U, i32_max.countTrailingZeros());
2285 EXPECT_EQ(31U, i32_max.countPopulation());
2286
2287 APInt i32_min(APInt::getSignedMinValue(32).sext(63));
2288 EXPECT_EQ(32U, i32_min.countLeadingOnes());
2289 EXPECT_EQ(31U, i32_min.countTrailingZeros());
2290 EXPECT_EQ(32U, i32_min.countPopulation());
2291
2292 APInt i32_neg1(APInt(32, ~uint64_t(0)).sext(63));
2293 EXPECT_EQ(63U, i32_neg1.countLeadingOnes());
2294 EXPECT_EQ(0U, i32_neg1.countTrailingZeros());
2295 EXPECT_EQ(63U, i32_neg1.countPopulation());
2296 }
2297
2298 TEST(APIntTest, multiply) {
2299 APInt i64(64, 1234);
2300
2301 EXPECT_EQ(7006652, i64 * 5678);
2302 EXPECT_EQ(7006652, 5678 * i64);
2303
2304 APInt i128 = APInt::getOneBitSet(128, 64);
2305 APInt i128_1234(128, 1234);
2306 i128_1234 <<= 64;
2307 EXPECT_EQ(i128_1234, i128 * 1234);
2308 EXPECT_EQ(i128_1234, 1234 * i128);
2309
2310 APInt i96 = APInt::getOneBitSet(96, 64);
2311 i96 *= ~0ULL;
2312 EXPECT_EQ(32U, i96.countLeadingOnes());
2313 EXPECT_EQ(32U, i96.countPopulation());
2314 EXPECT_EQ(64U, i96.countTrailingZeros());
2315 }
2316
2317 TEST(APIntTest, RoundingUDiv) {
2318 for (uint64_t Ai = 1; Ai <= 255; Ai++) {
2319 APInt A(8, Ai);
2320 APInt Zero(8, 0);
2321 EXPECT_EQ(0, APIntOps::RoundingUDiv(Zero, A, APInt::Rounding::UP));
2322 EXPECT_EQ(0, APIntOps::RoundingUDiv(Zero, A, APInt::Rounding::DOWN));
2323 EXPECT_EQ(0, APIntOps::RoundingUDiv(Zero, A, APInt::Rounding::TOWARD_ZERO));
2324
2325 for (uint64_t Bi = 1; Bi <= 255; Bi++) {
2326 APInt B(8, Bi);
2327 {
2328 APInt Quo = APIntOps::RoundingUDiv(A, B, APInt::Rounding::UP);
2329 auto Prod = Quo.zext(16) * B.zext(16);
2330 EXPECT_TRUE(Prod.uge(Ai));
2331 if (Prod.ugt(Ai)) {
2332 EXPECT_TRUE(((Quo - 1).zext(16) * B.zext(16)).ult(Ai));
2333 }
2334 }
2335 {
2336 APInt Quo = A.udiv(B);
2337 EXPECT_EQ(Quo, APIntOps::RoundingUDiv(A, B, APInt::Rounding::TOWARD_ZERO));
2338 EXPECT_EQ(Quo, APIntOps::RoundingUDiv(A, B, APInt::Rounding::DOWN));
2339 }
2340 }
2341 }
2342 }
2343
2344 TEST(APIntTest, RoundingSDiv) {
2345 for (int64_t Ai = -128; Ai <= 127; Ai++) {
2346 APInt A(8, Ai);
2347
2348 if (Ai != 0) {
2349 APInt Zero(8, 0);
2350 EXPECT_EQ(0, APIntOps::RoundingSDiv(Zero, A, APInt::Rounding::UP));
2351 EXPECT_EQ(0, APIntOps::RoundingSDiv(Zero, A, APInt::Rounding::DOWN));
2352 EXPECT_EQ(0, APIntOps::RoundingSDiv(Zero, A, APInt::Rounding::TOWARD_ZERO));
2353 }
2354
2355 for (uint64_t Bi = -128; Bi <= 127; Bi++) {
2356 if (Bi == 0)
2357 continue;
2358
2359 APInt B(8, Bi);
2360 {
2361 APInt Quo = APIntOps::RoundingSDiv(A, B, APInt::Rounding::UP);
2362 auto Prod = Quo.sext(16) * B.sext(16);
2363 EXPECT_TRUE(Prod.uge(A));
2364 if (Prod.ugt(A)) {
2365 EXPECT_TRUE(((Quo - 1).sext(16) * B.sext(16)).ult(A));
2366 }
2367 }
2368 {
2369 APInt Quo = APIntOps::RoundingSDiv(A, B, APInt::Rounding::DOWN);
2370 auto Prod = Quo.sext(16) * B.sext(16);
2371 EXPECT_TRUE(Prod.ule(A));
2372 if (Prod.ult(A)) {
2373 EXPECT_TRUE(((Quo + 1).sext(16) * B.sext(16)).ugt(A));
2374 }
2375 }
2376 {
2377 APInt Quo = A.sdiv(B);
2378 EXPECT_EQ(Quo, APIntOps::RoundingSDiv(A, B, APInt::Rounding::TOWARD_ZERO));
2379 }
2380 }
2381 }
2382 }
2383
2384 TEST(APIntTest, SolveQuadraticEquationWrap) {
2385 // Verify that "Solution" is the first non-negative integer that solves
2386 // Ax^2 + Bx + C = "0 or overflow", i.e. that it is a correct solution
2387 // as calculated by SolveQuadraticEquationWrap.
2388 auto Validate = [] (int A, int B, int C, unsigned Width, int Solution) {
2389 int Mask = (1 << Width) - 1;
2390
2391 // Solution should be non-negative.
2392 EXPECT_GE(Solution, 0);
2393
2394 auto OverflowBits = [] (int64_t V, unsigned W) {
2395 return V & -(1 << W);
2396 };
2397
2398 int64_t Over0 = OverflowBits(C, Width);
2399
2400 auto IsZeroOrOverflow = [&] (int X) {
2401 int64_t ValueAtX = A*X*X + B*X + C;
2402 int64_t OverX = OverflowBits(ValueAtX, Width);
2403 return (ValueAtX & Mask) == 0 || OverX != Over0;
2404 };
2405
2406 auto EquationToString = [&] (const char *X_str) {
2407 return (Twine(A) + Twine(X_str) + Twine("^2 + ") + Twine(B) +
2408 Twine(X_str) + Twine(" + ") + Twine(C) + Twine(", bitwidth: ") +
2409 Twine(Width)).str();
2410 };
2411
2412 auto IsSolution = [&] (const char *X_str, int X) {
2413 if (IsZeroOrOverflow(X))
2414 return ::testing::AssertionSuccess()
2415 << X << " is a solution of " << EquationToString(X_str);
2416 return ::testing::AssertionFailure()
2417 << X << " is not an expected solution of "
2418 << EquationToString(X_str);
2419 };
2420
2421 auto IsNotSolution = [&] (const char *X_str, int X) {
2422 if (!IsZeroOrOverflow(X))
2423 return ::testing::AssertionSuccess()
2424 << X << " is not a solution of " << EquationToString(X_str);
2425 return ::testing::AssertionFailure()
2426 << X << " is an unexpected solution of "
2427 << EquationToString(X_str);
2428 };
2429
2430 // This is the important part: make sure that there is no solution that
2431 // is less than the calculated one.
2432 if (Solution > 0) {
2433 for (int X = 1; X < Solution-1; ++X)
2434 EXPECT_PRED_FORMAT1(IsNotSolution, X);
2435 }
2436
2437 // Verify that the calculated solution is indeed a solution.
2438 EXPECT_PRED_FORMAT1(IsSolution, Solution);
2439 };
2440
2441 // Generate all possible quadratic equations with Width-bit wide integer
2442 // coefficients, get the solution from SolveQuadraticEquationWrap, and
2443 // verify that the solution is correct.
2444 auto Iterate = [&] (unsigned Width) {
2445 assert(1 < Width && Width < 32);
2446 int Low = -(1 << (Width-1));
2447 int High = (1 << (Width-1));
2448
2449 for (int A = Low; A != High; ++A) {
2450 if (A == 0)
2451 continue;
2452 for (int B = Low; B != High; ++B) {
2453 for (int C = Low; C != High; ++C) {
2454 Optional<APInt> S = APIntOps::SolveQuadraticEquationWrap(
2455 APInt(Width, A), APInt(Width, B),
2456 APInt(Width, C), Width);
2457 if (S.hasValue())
2458 Validate(A, B, C, Width, S->getSExtValue());
2459 }
2460 }
2461 }
2462 };
2463
2464 // Test all widths in [2..6].
2465 for (unsigned i = 2; i <= 6; ++i)
2466 Iterate(i);
2467 }
2468
2469 } // end anonymous namespace
The low level virtual machine