xref: /llvm-project/llvm/unittests/Support/MathExtrasTest.cpp (revision e25268de9d957a9aef7aa623fb81a71f19d224c1)
1 //===- unittests/Support/MathExtrasTest.cpp - math utils tests ------------===//
2 //
3 //                     The LLVM Compiler Infrastructure
4 //
5 // This file is distributed under the University of Illinois Open Source
6 // License. See LICENSE.TXT for details.
7 //
8 //===----------------------------------------------------------------------===//
9 
10 #include "gtest/gtest.h"
11 #include "llvm/Support/MathExtras.h"
12 
13 using namespace llvm;
14 
15 namespace {
16 
17 TEST(MathExtras, countTrailingZeros) {
18   uint8_t Z8 = 0;
19   uint16_t Z16 = 0;
20   uint32_t Z32 = 0;
21   uint64_t Z64 = 0;
22   EXPECT_EQ(8u, countTrailingZeros(Z8));
23   EXPECT_EQ(16u, countTrailingZeros(Z16));
24   EXPECT_EQ(32u, countTrailingZeros(Z32));
25   EXPECT_EQ(64u, countTrailingZeros(Z64));
26 
27   uint8_t NZ8 = 42;
28   uint16_t NZ16 = 42;
29   uint32_t NZ32 = 42;
30   uint64_t NZ64 = 42;
31   EXPECT_EQ(1u, countTrailingZeros(NZ8));
32   EXPECT_EQ(1u, countTrailingZeros(NZ16));
33   EXPECT_EQ(1u, countTrailingZeros(NZ32));
34   EXPECT_EQ(1u, countTrailingZeros(NZ64));
35 }
36 
37 TEST(MathExtras, countLeadingZeros) {
38   uint8_t Z8 = 0;
39   uint16_t Z16 = 0;
40   uint32_t Z32 = 0;
41   uint64_t Z64 = 0;
42   EXPECT_EQ(8u, countLeadingZeros(Z8));
43   EXPECT_EQ(16u, countLeadingZeros(Z16));
44   EXPECT_EQ(32u, countLeadingZeros(Z32));
45   EXPECT_EQ(64u, countLeadingZeros(Z64));
46 
47   uint8_t NZ8 = 42;
48   uint16_t NZ16 = 42;
49   uint32_t NZ32 = 42;
50   uint64_t NZ64 = 42;
51   EXPECT_EQ(2u, countLeadingZeros(NZ8));
52   EXPECT_EQ(10u, countLeadingZeros(NZ16));
53   EXPECT_EQ(26u, countLeadingZeros(NZ32));
54   EXPECT_EQ(58u, countLeadingZeros(NZ64));
55 
56   EXPECT_EQ(8u, countLeadingZeros(0x00F000FFu));
57   EXPECT_EQ(8u, countLeadingZeros(0x00F12345u));
58   for (unsigned i = 0; i <= 30; ++i) {
59     EXPECT_EQ(31 - i, countLeadingZeros(1u << i));
60   }
61 
62   EXPECT_EQ(8u, countLeadingZeros(0x00F1234500F12345ULL));
63   EXPECT_EQ(1u, countLeadingZeros(1ULL << 62));
64   for (unsigned i = 0; i <= 62; ++i) {
65     EXPECT_EQ(63 - i, countLeadingZeros(1ULL << i));
66   }
67 }
68 
69 TEST(MathExtras, onesMask) {
70   EXPECT_EQ(0U, maskLeadingOnes<uint8_t>(0));
71   EXPECT_EQ(0U, maskTrailingOnes<uint8_t>(0));
72   EXPECT_EQ(0U, maskLeadingOnes<uint16_t>(0));
73   EXPECT_EQ(0U, maskTrailingOnes<uint16_t>(0));
74   EXPECT_EQ(0U, maskLeadingOnes<uint32_t>(0));
75   EXPECT_EQ(0U, maskTrailingOnes<uint32_t>(0));
76   EXPECT_EQ(0U, maskLeadingOnes<uint64_t>(0));
77   EXPECT_EQ(0U, maskTrailingOnes<uint64_t>(0));
78 
79   EXPECT_EQ(0x00000003U, maskTrailingOnes<uint32_t>(2U));
80   EXPECT_EQ(0xC0000000U, maskLeadingOnes<uint32_t>(2U));
81 
82   EXPECT_EQ(0x000007FFU, maskTrailingOnes<uint32_t>(11U));
83   EXPECT_EQ(0xFFE00000U, maskLeadingOnes<uint32_t>(11U));
84 
85   EXPECT_EQ(0xFFFFFFFFU, maskTrailingOnes<uint32_t>(32U));
86   EXPECT_EQ(0xFFFFFFFFU, maskLeadingOnes<uint32_t>(32U));
87   EXPECT_EQ(0xFFFFFFFFFFFFFFFFULL, maskTrailingOnes<uint64_t>(64U));
88   EXPECT_EQ(0xFFFFFFFFFFFFFFFFULL, maskLeadingOnes<uint64_t>(64U));
89 
90   EXPECT_EQ(0x0000FFFFFFFFFFFFULL, maskTrailingOnes<uint64_t>(48U));
91   EXPECT_EQ(0xFFFFFFFFFFFF0000ULL, maskLeadingOnes<uint64_t>(48U));
92 }
93 
94 TEST(MathExtras, findFirstSet) {
95   uint8_t Z8 = 0;
96   uint16_t Z16 = 0;
97   uint32_t Z32 = 0;
98   uint64_t Z64 = 0;
99   EXPECT_EQ(0xFFULL, findFirstSet(Z8));
100   EXPECT_EQ(0xFFFFULL, findFirstSet(Z16));
101   EXPECT_EQ(0xFFFFFFFFULL, findFirstSet(Z32));
102   EXPECT_EQ(0xFFFFFFFFFFFFFFFFULL, findFirstSet(Z64));
103 
104   uint8_t NZ8 = 42;
105   uint16_t NZ16 = 42;
106   uint32_t NZ32 = 42;
107   uint64_t NZ64 = 42;
108   EXPECT_EQ(1u, findFirstSet(NZ8));
109   EXPECT_EQ(1u, findFirstSet(NZ16));
110   EXPECT_EQ(1u, findFirstSet(NZ32));
111   EXPECT_EQ(1u, findFirstSet(NZ64));
112 }
113 
114 TEST(MathExtras, findLastSet) {
115   uint8_t Z8 = 0;
116   uint16_t Z16 = 0;
117   uint32_t Z32 = 0;
118   uint64_t Z64 = 0;
119   EXPECT_EQ(0xFFULL, findLastSet(Z8));
120   EXPECT_EQ(0xFFFFULL, findLastSet(Z16));
121   EXPECT_EQ(0xFFFFFFFFULL, findLastSet(Z32));
122   EXPECT_EQ(0xFFFFFFFFFFFFFFFFULL, findLastSet(Z64));
123 
124   uint8_t NZ8 = 42;
125   uint16_t NZ16 = 42;
126   uint32_t NZ32 = 42;
127   uint64_t NZ64 = 42;
128   EXPECT_EQ(5u, findLastSet(NZ8));
129   EXPECT_EQ(5u, findLastSet(NZ16));
130   EXPECT_EQ(5u, findLastSet(NZ32));
131   EXPECT_EQ(5u, findLastSet(NZ64));
132 }
133 
134 TEST(MathExtras, isIntN) {
135   EXPECT_TRUE(isIntN(16, 32767));
136   EXPECT_FALSE(isIntN(16, 32768));
137 }
138 
139 TEST(MathExtras, isUIntN) {
140   EXPECT_TRUE(isUIntN(16, 65535));
141   EXPECT_FALSE(isUIntN(16, 65536));
142   EXPECT_TRUE(isUIntN(1, 0));
143   EXPECT_TRUE(isUIntN(6, 63));
144 }
145 
146 TEST(MathExtras, maxIntN) {
147   EXPECT_EQ(32767, maxIntN(16));
148   EXPECT_EQ(2147483647, maxIntN(32));
149   EXPECT_EQ(std::numeric_limits<int32_t>::max(), maxIntN(32));
150   EXPECT_EQ(std::numeric_limits<int64_t>::max(), maxIntN(64));
151 }
152 
153 TEST(MathExtras, minIntN) {
154   EXPECT_EQ(-32768LL, minIntN(16));
155   EXPECT_EQ(-64LL, minIntN(7));
156   EXPECT_EQ(std::numeric_limits<int32_t>::min(), minIntN(32));
157   EXPECT_EQ(std::numeric_limits<int64_t>::min(), minIntN(64));
158 }
159 
160 TEST(MathExtras, maxUIntN) {
161   EXPECT_EQ(0xffffULL, maxUIntN(16));
162   EXPECT_EQ(0xffffffffULL, maxUIntN(32));
163   EXPECT_EQ(0xffffffffffffffffULL, maxUIntN(64));
164   EXPECT_EQ(1ULL, maxUIntN(1));
165   EXPECT_EQ(0x0fULL, maxUIntN(4));
166 }
167 
168 TEST(MathExtras, reverseBits) {
169   uint8_t NZ8 = 42;
170   uint16_t NZ16 = 42;
171   uint32_t NZ32 = 42;
172   uint64_t NZ64 = 42;
173   EXPECT_EQ(0x54ULL, reverseBits(NZ8));
174   EXPECT_EQ(0x5400ULL, reverseBits(NZ16));
175   EXPECT_EQ(0x54000000ULL, reverseBits(NZ32));
176   EXPECT_EQ(0x5400000000000000ULL, reverseBits(NZ64));
177 }
178 
179 TEST(MathExtras, isPowerOf2_32) {
180   EXPECT_TRUE(isPowerOf2_32(1 << 6));
181   EXPECT_TRUE(isPowerOf2_32(1 << 12));
182   EXPECT_FALSE(isPowerOf2_32((1 << 19) + 3));
183   EXPECT_FALSE(isPowerOf2_32(0xABCDEF0));
184 }
185 
186 TEST(MathExtras, isPowerOf2_64) {
187   EXPECT_TRUE(isPowerOf2_64(1LL << 46));
188   EXPECT_TRUE(isPowerOf2_64(1LL << 12));
189   EXPECT_FALSE(isPowerOf2_64((1LL << 53) + 3));
190   EXPECT_FALSE(isPowerOf2_64(0xABCDEF0ABCDEF0LL));
191 }
192 
193 TEST(MathExtras, PowerOf2Ceil) {
194   EXPECT_EQ(0U, PowerOf2Ceil(0U));
195   EXPECT_EQ(8U, PowerOf2Ceil(8U));
196   EXPECT_EQ(8U, PowerOf2Ceil(7U));
197 }
198 
199 TEST(MathExtras, PowerOf2Floor) {
200   EXPECT_EQ(0U, PowerOf2Floor(0U));
201   EXPECT_EQ(8U, PowerOf2Floor(8U));
202   EXPECT_EQ(4U, PowerOf2Floor(7U));
203 }
204 
205 TEST(MathExtras, ByteSwap_32) {
206   EXPECT_EQ(0x44332211u, ByteSwap_32(0x11223344));
207   EXPECT_EQ(0xDDCCBBAAu, ByteSwap_32(0xAABBCCDD));
208 }
209 
210 TEST(MathExtras, ByteSwap_64) {
211   EXPECT_EQ(0x8877665544332211ULL, ByteSwap_64(0x1122334455667788LL));
212   EXPECT_EQ(0x1100FFEEDDCCBBAAULL, ByteSwap_64(0xAABBCCDDEEFF0011LL));
213 }
214 
215 TEST(MathExtras, countLeadingOnes) {
216   for (int i = 30; i >= 0; --i) {
217     // Start with all ones and unset some bit.
218     EXPECT_EQ(31u - i, countLeadingOnes(0xFFFFFFFF ^ (1 << i)));
219   }
220   for (int i = 62; i >= 0; --i) {
221     // Start with all ones and unset some bit.
222     EXPECT_EQ(63u - i, countLeadingOnes(0xFFFFFFFFFFFFFFFFULL ^ (1LL << i)));
223   }
224   for (int i = 30; i >= 0; --i) {
225     // Start with all ones and unset some bit.
226     EXPECT_EQ(31u - i, countLeadingOnes(0xFFFFFFFF ^ (1 << i)));
227   }
228 }
229 
230 TEST(MathExtras, FloatBits) {
231   static const float kValue = 5632.34f;
232   EXPECT_FLOAT_EQ(kValue, BitsToFloat(FloatToBits(kValue)));
233 }
234 
235 TEST(MathExtras, DoubleBits) {
236   static const double kValue = 87987234.983498;
237   EXPECT_DOUBLE_EQ(kValue, BitsToDouble(DoubleToBits(kValue)));
238 }
239 
240 TEST(MathExtras, MinAlign) {
241   EXPECT_EQ(1u, MinAlign(2, 3));
242   EXPECT_EQ(2u, MinAlign(2, 4));
243   EXPECT_EQ(1u, MinAlign(17, 64));
244   EXPECT_EQ(256u, MinAlign(256, 512));
245 }
246 
247 TEST(MathExtras, NextPowerOf2) {
248   EXPECT_EQ(4u, NextPowerOf2(3));
249   EXPECT_EQ(16u, NextPowerOf2(15));
250   EXPECT_EQ(256u, NextPowerOf2(128));
251 }
252 
253 TEST(MathExtras, alignTo) {
254   EXPECT_EQ(8u, alignTo(5, 8));
255   EXPECT_EQ(24u, alignTo(17, 8));
256   EXPECT_EQ(0u, alignTo(~0LL, 8));
257 
258   EXPECT_EQ(7u, alignTo(5, 8, 7));
259   EXPECT_EQ(17u, alignTo(17, 8, 1));
260   EXPECT_EQ(3u, alignTo(~0LL, 8, 3));
261   EXPECT_EQ(552u, alignTo(321, 255, 42));
262 }
263 
264 template<typename T>
265 void SaturatingAddTestHelper()
266 {
267   const T Max = std::numeric_limits<T>::max();
268   bool ResultOverflowed;
269 
270   EXPECT_EQ(T(3), SaturatingAdd(T(1), T(2)));
271   EXPECT_EQ(T(3), SaturatingAdd(T(1), T(2), &ResultOverflowed));
272   EXPECT_FALSE(ResultOverflowed);
273 
274   EXPECT_EQ(Max, SaturatingAdd(Max, T(1)));
275   EXPECT_EQ(Max, SaturatingAdd(Max, T(1), &ResultOverflowed));
276   EXPECT_TRUE(ResultOverflowed);
277 
278   EXPECT_EQ(Max, SaturatingAdd(T(1), T(Max - 1)));
279   EXPECT_EQ(Max, SaturatingAdd(T(1), T(Max - 1), &ResultOverflowed));
280   EXPECT_FALSE(ResultOverflowed);
281 
282   EXPECT_EQ(Max, SaturatingAdd(T(1), Max));
283   EXPECT_EQ(Max, SaturatingAdd(T(1), Max, &ResultOverflowed));
284   EXPECT_TRUE(ResultOverflowed);
285 
286   EXPECT_EQ(Max, SaturatingAdd(Max, Max));
287   EXPECT_EQ(Max, SaturatingAdd(Max, Max, &ResultOverflowed));
288   EXPECT_TRUE(ResultOverflowed);
289 }
290 
291 TEST(MathExtras, SaturatingAdd) {
292   SaturatingAddTestHelper<uint8_t>();
293   SaturatingAddTestHelper<uint16_t>();
294   SaturatingAddTestHelper<uint32_t>();
295   SaturatingAddTestHelper<uint64_t>();
296 }
297 
298 template<typename T>
299 void SaturatingMultiplyTestHelper()
300 {
301   const T Max = std::numeric_limits<T>::max();
302   bool ResultOverflowed;
303 
304   // Test basic multiplication.
305   EXPECT_EQ(T(6), SaturatingMultiply(T(2), T(3)));
306   EXPECT_EQ(T(6), SaturatingMultiply(T(2), T(3), &ResultOverflowed));
307   EXPECT_FALSE(ResultOverflowed);
308 
309   EXPECT_EQ(T(6), SaturatingMultiply(T(3), T(2)));
310   EXPECT_EQ(T(6), SaturatingMultiply(T(3), T(2), &ResultOverflowed));
311   EXPECT_FALSE(ResultOverflowed);
312 
313   // Test multiplication by zero.
314   EXPECT_EQ(T(0), SaturatingMultiply(T(0), T(0)));
315   EXPECT_EQ(T(0), SaturatingMultiply(T(0), T(0), &ResultOverflowed));
316   EXPECT_FALSE(ResultOverflowed);
317 
318   EXPECT_EQ(T(0), SaturatingMultiply(T(1), T(0)));
319   EXPECT_EQ(T(0), SaturatingMultiply(T(1), T(0), &ResultOverflowed));
320   EXPECT_FALSE(ResultOverflowed);
321 
322   EXPECT_EQ(T(0), SaturatingMultiply(T(0), T(1)));
323   EXPECT_EQ(T(0), SaturatingMultiply(T(0), T(1), &ResultOverflowed));
324   EXPECT_FALSE(ResultOverflowed);
325 
326   EXPECT_EQ(T(0), SaturatingMultiply(Max, T(0)));
327   EXPECT_EQ(T(0), SaturatingMultiply(Max, T(0), &ResultOverflowed));
328   EXPECT_FALSE(ResultOverflowed);
329 
330   EXPECT_EQ(T(0), SaturatingMultiply(T(0), Max));
331   EXPECT_EQ(T(0), SaturatingMultiply(T(0), Max, &ResultOverflowed));
332   EXPECT_FALSE(ResultOverflowed);
333 
334   // Test multiplication by maximum value.
335   EXPECT_EQ(Max, SaturatingMultiply(Max, T(2)));
336   EXPECT_EQ(Max, SaturatingMultiply(Max, T(2), &ResultOverflowed));
337   EXPECT_TRUE(ResultOverflowed);
338 
339   EXPECT_EQ(Max, SaturatingMultiply(T(2), Max));
340   EXPECT_EQ(Max, SaturatingMultiply(T(2), Max, &ResultOverflowed));
341   EXPECT_TRUE(ResultOverflowed);
342 
343   EXPECT_EQ(Max, SaturatingMultiply(Max, Max));
344   EXPECT_EQ(Max, SaturatingMultiply(Max, Max, &ResultOverflowed));
345   EXPECT_TRUE(ResultOverflowed);
346 
347   // Test interesting boundary conditions for algorithm -
348   // ((1 << A) - 1) * ((1 << B) + K) for K in [-1, 0, 1]
349   // and A + B == std::numeric_limits<T>::digits.
350   // We expect overflow iff A > B and K = 1.
351   const int Digits = std::numeric_limits<T>::digits;
352   for (int A = 1, B = Digits - 1; B >= 1; ++A, --B) {
353     for (int K = -1; K <= 1; ++K) {
354       T X = (T(1) << A) - T(1);
355       T Y = (T(1) << B) + K;
356       bool OverflowExpected = A > B && K == 1;
357 
358       if(OverflowExpected) {
359         EXPECT_EQ(Max, SaturatingMultiply(X, Y));
360         EXPECT_EQ(Max, SaturatingMultiply(X, Y, &ResultOverflowed));
361         EXPECT_TRUE(ResultOverflowed);
362       } else {
363         EXPECT_EQ(X * Y, SaturatingMultiply(X, Y));
364         EXPECT_EQ(X * Y, SaturatingMultiply(X, Y, &ResultOverflowed));
365         EXPECT_FALSE(ResultOverflowed);
366       }
367     }
368   }
369 }
370 
371 TEST(MathExtras, SaturatingMultiply) {
372   SaturatingMultiplyTestHelper<uint8_t>();
373   SaturatingMultiplyTestHelper<uint16_t>();
374   SaturatingMultiplyTestHelper<uint32_t>();
375   SaturatingMultiplyTestHelper<uint64_t>();
376 }
377 
378 template<typename T>
379 void SaturatingMultiplyAddTestHelper()
380 {
381   const T Max = std::numeric_limits<T>::max();
382   bool ResultOverflowed;
383 
384   // Test basic multiply-add.
385   EXPECT_EQ(T(16), SaturatingMultiplyAdd(T(2), T(3), T(10)));
386   EXPECT_EQ(T(16), SaturatingMultiplyAdd(T(2), T(3), T(10), &ResultOverflowed));
387   EXPECT_FALSE(ResultOverflowed);
388 
389   // Test multiply overflows, add doesn't overflow
390   EXPECT_EQ(Max, SaturatingMultiplyAdd(Max, Max, T(0), &ResultOverflowed));
391   EXPECT_TRUE(ResultOverflowed);
392 
393   // Test multiply doesn't overflow, add overflows
394   EXPECT_EQ(Max, SaturatingMultiplyAdd(T(1), T(1), Max, &ResultOverflowed));
395   EXPECT_TRUE(ResultOverflowed);
396 
397   // Test multiply-add with Max as operand
398   EXPECT_EQ(Max, SaturatingMultiplyAdd(T(1), T(1), Max, &ResultOverflowed));
399   EXPECT_TRUE(ResultOverflowed);
400 
401   EXPECT_EQ(Max, SaturatingMultiplyAdd(T(1), Max, T(1), &ResultOverflowed));
402   EXPECT_TRUE(ResultOverflowed);
403 
404   EXPECT_EQ(Max, SaturatingMultiplyAdd(Max, Max, T(1), &ResultOverflowed));
405   EXPECT_TRUE(ResultOverflowed);
406 
407   EXPECT_EQ(Max, SaturatingMultiplyAdd(Max, Max, Max, &ResultOverflowed));
408   EXPECT_TRUE(ResultOverflowed);
409 
410   // Test multiply-add with 0 as operand
411   EXPECT_EQ(T(1), SaturatingMultiplyAdd(T(1), T(1), T(0), &ResultOverflowed));
412   EXPECT_FALSE(ResultOverflowed);
413 
414   EXPECT_EQ(T(1), SaturatingMultiplyAdd(T(1), T(0), T(1), &ResultOverflowed));
415   EXPECT_FALSE(ResultOverflowed);
416 
417   EXPECT_EQ(T(1), SaturatingMultiplyAdd(T(0), T(0), T(1), &ResultOverflowed));
418   EXPECT_FALSE(ResultOverflowed);
419 
420   EXPECT_EQ(T(0), SaturatingMultiplyAdd(T(0), T(0), T(0), &ResultOverflowed));
421   EXPECT_FALSE(ResultOverflowed);
422 
423 }
424 
425 TEST(MathExtras, SaturatingMultiplyAdd) {
426   SaturatingMultiplyAddTestHelper<uint8_t>();
427   SaturatingMultiplyAddTestHelper<uint16_t>();
428   SaturatingMultiplyAddTestHelper<uint32_t>();
429   SaturatingMultiplyAddTestHelper<uint64_t>();
430 }
431 
432 TEST(MathExtras, IsShiftedUInt) {
433   EXPECT_TRUE((isShiftedUInt<1, 0>(0)));
434   EXPECT_TRUE((isShiftedUInt<1, 0>(1)));
435   EXPECT_FALSE((isShiftedUInt<1, 0>(2)));
436   EXPECT_FALSE((isShiftedUInt<1, 0>(3)));
437   EXPECT_FALSE((isShiftedUInt<1, 0>(0x8000000000000000)));
438   EXPECT_TRUE((isShiftedUInt<1, 63>(0x8000000000000000)));
439   EXPECT_TRUE((isShiftedUInt<2, 62>(0xC000000000000000)));
440   EXPECT_FALSE((isShiftedUInt<2, 62>(0xE000000000000000)));
441 
442   // 0x201 is ten bits long and has a 1 in the MSB and LSB.
443   EXPECT_TRUE((isShiftedUInt<10, 5>(uint64_t(0x201) << 5)));
444   EXPECT_FALSE((isShiftedUInt<10, 5>(uint64_t(0x201) << 4)));
445   EXPECT_FALSE((isShiftedUInt<10, 5>(uint64_t(0x201) << 6)));
446 }
447 
448 TEST(MathExtras, IsShiftedInt) {
449   EXPECT_TRUE((isShiftedInt<1, 0>(0)));
450   EXPECT_TRUE((isShiftedInt<1, 0>(-1)));
451   EXPECT_FALSE((isShiftedInt<1, 0>(2)));
452   EXPECT_FALSE((isShiftedInt<1, 0>(3)));
453   EXPECT_FALSE((isShiftedInt<1, 0>(0x8000000000000000)));
454   EXPECT_TRUE((isShiftedInt<1, 63>(0x8000000000000000)));
455   EXPECT_TRUE((isShiftedInt<2, 62>(0xC000000000000000)));
456   EXPECT_FALSE((isShiftedInt<2, 62>(0xE000000000000000)));
457 
458   // 0x201 is ten bits long and has a 1 in the MSB and LSB.
459   EXPECT_TRUE((isShiftedInt<11, 5>(int64_t(0x201) << 5)));
460   EXPECT_FALSE((isShiftedInt<11, 5>(int64_t(0x201) << 3)));
461   EXPECT_FALSE((isShiftedInt<11, 5>(int64_t(0x201) << 6)));
462   EXPECT_TRUE((isShiftedInt<11, 5>(-(int64_t(0x201) << 5))));
463   EXPECT_FALSE((isShiftedInt<11, 5>(-(int64_t(0x201) << 3))));
464   EXPECT_FALSE((isShiftedInt<11, 5>(-(int64_t(0x201) << 6))));
465 
466   EXPECT_TRUE((isShiftedInt<6, 10>(-(int64_t(1) << 15))));
467   EXPECT_FALSE((isShiftedInt<6, 10>(int64_t(1) << 15)));
468 }
469 
470 } // namespace
471