1 //===- unittests/Support/MathExtrasTest.cpp - math utils 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/Support/MathExtras.h"
10 #include "gtest/gtest.h"
11 
12 using namespace llvm;
13 
14 namespace {
15 
16 TEST(MathExtras, countTrailingZeros) {
17   uint8_t Z8 = 0;
18   uint16_t Z16 = 0;
19   uint32_t Z32 = 0;
20   uint64_t Z64 = 0;
21   EXPECT_EQ(8u, countTrailingZeros(Z8));
22   EXPECT_EQ(16u, countTrailingZeros(Z16));
23   EXPECT_EQ(32u, countTrailingZeros(Z32));
24   EXPECT_EQ(64u, countTrailingZeros(Z64));
25 
26   uint8_t NZ8 = 42;
27   uint16_t NZ16 = 42;
28   uint32_t NZ32 = 42;
29   uint64_t NZ64 = 42;
30   EXPECT_EQ(1u, countTrailingZeros(NZ8));
31   EXPECT_EQ(1u, countTrailingZeros(NZ16));
32   EXPECT_EQ(1u, countTrailingZeros(NZ32));
33   EXPECT_EQ(1u, countTrailingZeros(NZ64));
34 }
35 
36 TEST(MathExtras, countLeadingZeros) {
37   uint8_t Z8 = 0;
38   uint16_t Z16 = 0;
39   uint32_t Z32 = 0;
40   uint64_t Z64 = 0;
41   EXPECT_EQ(8u, countLeadingZeros(Z8));
42   EXPECT_EQ(16u, countLeadingZeros(Z16));
43   EXPECT_EQ(32u, countLeadingZeros(Z32));
44   EXPECT_EQ(64u, countLeadingZeros(Z64));
45 
46   uint8_t NZ8 = 42;
47   uint16_t NZ16 = 42;
48   uint32_t NZ32 = 42;
49   uint64_t NZ64 = 42;
50   EXPECT_EQ(2u, countLeadingZeros(NZ8));
51   EXPECT_EQ(10u, countLeadingZeros(NZ16));
52   EXPECT_EQ(26u, countLeadingZeros(NZ32));
53   EXPECT_EQ(58u, countLeadingZeros(NZ64));
54 
55   EXPECT_EQ(8u, countLeadingZeros(0x00F000FFu));
56   EXPECT_EQ(8u, countLeadingZeros(0x00F12345u));
57   for (unsigned i = 0; i <= 30; ++i) {
58     EXPECT_EQ(31 - i, countLeadingZeros(1u << i));
59   }
60 
61   EXPECT_EQ(8u, countLeadingZeros(0x00F1234500F12345ULL));
62   EXPECT_EQ(1u, countLeadingZeros(1ULL << 62));
63   for (unsigned i = 0; i <= 62; ++i) {
64     EXPECT_EQ(63 - i, countLeadingZeros(1ULL << i));
65   }
66 }
67 
68 TEST(MathExtras, onesMask) {
69   EXPECT_EQ(0U, maskLeadingOnes<uint8_t>(0));
70   EXPECT_EQ(0U, maskTrailingOnes<uint8_t>(0));
71   EXPECT_EQ(0U, maskLeadingOnes<uint16_t>(0));
72   EXPECT_EQ(0U, maskTrailingOnes<uint16_t>(0));
73   EXPECT_EQ(0U, maskLeadingOnes<uint32_t>(0));
74   EXPECT_EQ(0U, maskTrailingOnes<uint32_t>(0));
75   EXPECT_EQ(0U, maskLeadingOnes<uint64_t>(0));
76   EXPECT_EQ(0U, maskTrailingOnes<uint64_t>(0));
77 
78   EXPECT_EQ(0x00000003U, maskTrailingOnes<uint32_t>(2U));
79   EXPECT_EQ(0xC0000000U, maskLeadingOnes<uint32_t>(2U));
80 
81   EXPECT_EQ(0x000007FFU, maskTrailingOnes<uint32_t>(11U));
82   EXPECT_EQ(0xFFE00000U, maskLeadingOnes<uint32_t>(11U));
83 
84   EXPECT_EQ(0xFFFFFFFFU, maskTrailingOnes<uint32_t>(32U));
85   EXPECT_EQ(0xFFFFFFFFU, maskLeadingOnes<uint32_t>(32U));
86   EXPECT_EQ(0xFFFFFFFFFFFFFFFFULL, maskTrailingOnes<uint64_t>(64U));
87   EXPECT_EQ(0xFFFFFFFFFFFFFFFFULL, maskLeadingOnes<uint64_t>(64U));
88 
89   EXPECT_EQ(0x0000FFFFFFFFFFFFULL, maskTrailingOnes<uint64_t>(48U));
90   EXPECT_EQ(0xFFFFFFFFFFFF0000ULL, maskLeadingOnes<uint64_t>(48U));
91 }
92 
93 TEST(MathExtras, findFirstSet) {
94   uint8_t Z8 = 0;
95   uint16_t Z16 = 0;
96   uint32_t Z32 = 0;
97   uint64_t Z64 = 0;
98   EXPECT_EQ(0xFFULL, findFirstSet(Z8));
99   EXPECT_EQ(0xFFFFULL, findFirstSet(Z16));
100   EXPECT_EQ(0xFFFFFFFFULL, findFirstSet(Z32));
101   EXPECT_EQ(0xFFFFFFFFFFFFFFFFULL, findFirstSet(Z64));
102 
103   uint8_t NZ8 = 42;
104   uint16_t NZ16 = 42;
105   uint32_t NZ32 = 42;
106   uint64_t NZ64 = 42;
107   EXPECT_EQ(1u, findFirstSet(NZ8));
108   EXPECT_EQ(1u, findFirstSet(NZ16));
109   EXPECT_EQ(1u, findFirstSet(NZ32));
110   EXPECT_EQ(1u, findFirstSet(NZ64));
111 }
112 
113 TEST(MathExtras, findLastSet) {
114   uint8_t Z8 = 0;
115   uint16_t Z16 = 0;
116   uint32_t Z32 = 0;
117   uint64_t Z64 = 0;
118   EXPECT_EQ(0xFFULL, findLastSet(Z8));
119   EXPECT_EQ(0xFFFFULL, findLastSet(Z16));
120   EXPECT_EQ(0xFFFFFFFFULL, findLastSet(Z32));
121   EXPECT_EQ(0xFFFFFFFFFFFFFFFFULL, findLastSet(Z64));
122 
123   uint8_t NZ8 = 42;
124   uint16_t NZ16 = 42;
125   uint32_t NZ32 = 42;
126   uint64_t NZ64 = 42;
127   EXPECT_EQ(5u, findLastSet(NZ8));
128   EXPECT_EQ(5u, findLastSet(NZ16));
129   EXPECT_EQ(5u, findLastSet(NZ32));
130   EXPECT_EQ(5u, findLastSet(NZ64));
131 }
132 
133 TEST(MathExtras, isIntN) {
134   EXPECT_TRUE(isIntN(16, 32767));
135   EXPECT_FALSE(isIntN(16, 32768));
136 }
137 
138 TEST(MathExtras, isUIntN) {
139   EXPECT_TRUE(isUIntN(16, 65535));
140   EXPECT_FALSE(isUIntN(16, 65536));
141   EXPECT_TRUE(isUIntN(1, 0));
142   EXPECT_TRUE(isUIntN(6, 63));
143 }
144 
145 TEST(MathExtras, maxIntN) {
146   EXPECT_EQ(32767, maxIntN(16));
147   EXPECT_EQ(2147483647, maxIntN(32));
148   EXPECT_EQ(std::numeric_limits<int32_t>::max(), maxIntN(32));
149   EXPECT_EQ(std::numeric_limits<int64_t>::max(), maxIntN(64));
150 }
151 
152 TEST(MathExtras, minIntN) {
153   EXPECT_EQ(-32768LL, minIntN(16));
154   EXPECT_EQ(-64LL, minIntN(7));
155   EXPECT_EQ(std::numeric_limits<int32_t>::min(), minIntN(32));
156   EXPECT_EQ(std::numeric_limits<int64_t>::min(), minIntN(64));
157 }
158 
159 TEST(MathExtras, maxUIntN) {
160   EXPECT_EQ(0xffffULL, maxUIntN(16));
161   EXPECT_EQ(0xffffffffULL, maxUIntN(32));
162   EXPECT_EQ(0xffffffffffffffffULL, maxUIntN(64));
163   EXPECT_EQ(1ULL, maxUIntN(1));
164   EXPECT_EQ(0x0fULL, maxUIntN(4));
165 }
166 
167 TEST(MathExtras, reverseBits) {
168   uint8_t NZ8 = 42;
169   uint16_t NZ16 = 42;
170   uint32_t NZ32 = 42;
171   uint64_t NZ64 = 42;
172   EXPECT_EQ(0x54ULL, reverseBits(NZ8));
173   EXPECT_EQ(0x5400ULL, reverseBits(NZ16));
174   EXPECT_EQ(0x54000000ULL, reverseBits(NZ32));
175   EXPECT_EQ(0x5400000000000000ULL, reverseBits(NZ64));
176 }
177 
178 TEST(MathExtras, isPowerOf2_32) {
179   EXPECT_FALSE(isPowerOf2_32(0));
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_FALSE(isPowerOf2_64(0));
188   EXPECT_TRUE(isPowerOf2_64(1LL << 46));
189   EXPECT_TRUE(isPowerOf2_64(1LL << 12));
190   EXPECT_FALSE(isPowerOf2_64((1LL << 53) + 3));
191   EXPECT_FALSE(isPowerOf2_64(0xABCDEF0ABCDEF0LL));
192 }
193 
194 TEST(MathExtras, PowerOf2Ceil) {
195   EXPECT_EQ(0U, PowerOf2Ceil(0U));
196   EXPECT_EQ(8U, PowerOf2Ceil(8U));
197   EXPECT_EQ(8U, PowerOf2Ceil(7U));
198 }
199 
200 TEST(MathExtras, PowerOf2Floor) {
201   EXPECT_EQ(0U, PowerOf2Floor(0U));
202   EXPECT_EQ(8U, PowerOf2Floor(8U));
203   EXPECT_EQ(4U, PowerOf2Floor(7U));
204 }
205 
206 TEST(MathExtras, ByteSwap_32) {
207   EXPECT_EQ(0x44332211u, ByteSwap_32(0x11223344));
208   EXPECT_EQ(0xDDCCBBAAu, ByteSwap_32(0xAABBCCDD));
209 }
210 
211 TEST(MathExtras, ByteSwap_64) {
212   EXPECT_EQ(0x8877665544332211ULL, ByteSwap_64(0x1122334455667788LL));
213   EXPECT_EQ(0x1100FFEEDDCCBBAAULL, ByteSwap_64(0xAABBCCDDEEFF0011LL));
214 }
215 
216 TEST(MathExtras, countLeadingOnes) {
217   for (int i = 30; i >= 0; --i) {
218     // Start with all ones and unset some bit.
219     EXPECT_EQ(31u - i, countLeadingOnes(0xFFFFFFFF ^ (1 << i)));
220   }
221   for (int i = 62; i >= 0; --i) {
222     // Start with all ones and unset some bit.
223     EXPECT_EQ(63u - i, countLeadingOnes(0xFFFFFFFFFFFFFFFFULL ^ (1LL << i)));
224   }
225   for (int i = 30; i >= 0; --i) {
226     // Start with all ones and unset some bit.
227     EXPECT_EQ(31u - i, countLeadingOnes(0xFFFFFFFF ^ (1 << i)));
228   }
229 }
230 
231 TEST(MathExtras, FloatBits) {
232   static const float kValue = 5632.34f;
233   EXPECT_FLOAT_EQ(kValue, BitsToFloat(FloatToBits(kValue)));
234 }
235 
236 TEST(MathExtras, DoubleBits) {
237   static const double kValue = 87987234.983498;
238   EXPECT_DOUBLE_EQ(kValue, BitsToDouble(DoubleToBits(kValue)));
239 }
240 
241 TEST(MathExtras, MinAlign) {
242   EXPECT_EQ(1u, MinAlign(2, 3));
243   EXPECT_EQ(2u, MinAlign(2, 4));
244   EXPECT_EQ(1u, MinAlign(17, 64));
245   EXPECT_EQ(256u, MinAlign(256, 512));
246 }
247 
248 TEST(MathExtras, NextPowerOf2) {
249   EXPECT_EQ(4u, NextPowerOf2(3));
250   EXPECT_EQ(16u, NextPowerOf2(15));
251   EXPECT_EQ(256u, NextPowerOf2(128));
252 }
253 
254 TEST(MathExtras, alignTo) {
255   EXPECT_EQ(8u, alignTo(5, 8));
256   EXPECT_EQ(24u, alignTo(17, 8));
257   EXPECT_EQ(0u, alignTo(~0LL, 8));
258 
259   EXPECT_EQ(7u, alignTo(5, 8, 7));
260   EXPECT_EQ(17u, alignTo(17, 8, 1));
261   EXPECT_EQ(3u, alignTo(~0LL, 8, 3));
262   EXPECT_EQ(552u, alignTo(321, 255, 42));
263 }
264 
265 template<typename T>
266 void SaturatingAddTestHelper()
267 {
268   const T Max = std::numeric_limits<T>::max();
269   bool ResultOverflowed;
270 
271   EXPECT_EQ(T(3), SaturatingAdd(T(1), T(2)));
272   EXPECT_EQ(T(3), SaturatingAdd(T(1), T(2), &ResultOverflowed));
273   EXPECT_FALSE(ResultOverflowed);
274 
275   EXPECT_EQ(Max, SaturatingAdd(Max, T(1)));
276   EXPECT_EQ(Max, SaturatingAdd(Max, T(1), &ResultOverflowed));
277   EXPECT_TRUE(ResultOverflowed);
278 
279   EXPECT_EQ(Max, SaturatingAdd(T(1), T(Max - 1)));
280   EXPECT_EQ(Max, SaturatingAdd(T(1), T(Max - 1), &ResultOverflowed));
281   EXPECT_FALSE(ResultOverflowed);
282 
283   EXPECT_EQ(Max, SaturatingAdd(T(1), Max));
284   EXPECT_EQ(Max, SaturatingAdd(T(1), Max, &ResultOverflowed));
285   EXPECT_TRUE(ResultOverflowed);
286 
287   EXPECT_EQ(Max, SaturatingAdd(Max, Max));
288   EXPECT_EQ(Max, SaturatingAdd(Max, Max, &ResultOverflowed));
289   EXPECT_TRUE(ResultOverflowed);
290 }
291 
292 TEST(MathExtras, SaturatingAdd) {
293   SaturatingAddTestHelper<uint8_t>();
294   SaturatingAddTestHelper<uint16_t>();
295   SaturatingAddTestHelper<uint32_t>();
296   SaturatingAddTestHelper<uint64_t>();
297 }
298 
299 template<typename T>
300 void SaturatingMultiplyTestHelper()
301 {
302   const T Max = std::numeric_limits<T>::max();
303   bool ResultOverflowed;
304 
305   // Test basic multiplication.
306   EXPECT_EQ(T(6), SaturatingMultiply(T(2), T(3)));
307   EXPECT_EQ(T(6), SaturatingMultiply(T(2), T(3), &ResultOverflowed));
308   EXPECT_FALSE(ResultOverflowed);
309 
310   EXPECT_EQ(T(6), SaturatingMultiply(T(3), T(2)));
311   EXPECT_EQ(T(6), SaturatingMultiply(T(3), T(2), &ResultOverflowed));
312   EXPECT_FALSE(ResultOverflowed);
313 
314   // Test multiplication by zero.
315   EXPECT_EQ(T(0), SaturatingMultiply(T(0), T(0)));
316   EXPECT_EQ(T(0), SaturatingMultiply(T(0), T(0), &ResultOverflowed));
317   EXPECT_FALSE(ResultOverflowed);
318 
319   EXPECT_EQ(T(0), SaturatingMultiply(T(1), T(0)));
320   EXPECT_EQ(T(0), SaturatingMultiply(T(1), T(0), &ResultOverflowed));
321   EXPECT_FALSE(ResultOverflowed);
322 
323   EXPECT_EQ(T(0), SaturatingMultiply(T(0), T(1)));
324   EXPECT_EQ(T(0), SaturatingMultiply(T(0), T(1), &ResultOverflowed));
325   EXPECT_FALSE(ResultOverflowed);
326 
327   EXPECT_EQ(T(0), SaturatingMultiply(Max, T(0)));
328   EXPECT_EQ(T(0), SaturatingMultiply(Max, T(0), &ResultOverflowed));
329   EXPECT_FALSE(ResultOverflowed);
330 
331   EXPECT_EQ(T(0), SaturatingMultiply(T(0), Max));
332   EXPECT_EQ(T(0), SaturatingMultiply(T(0), Max, &ResultOverflowed));
333   EXPECT_FALSE(ResultOverflowed);
334 
335   // Test multiplication by maximum value.
336   EXPECT_EQ(Max, SaturatingMultiply(Max, T(2)));
337   EXPECT_EQ(Max, SaturatingMultiply(Max, T(2), &ResultOverflowed));
338   EXPECT_TRUE(ResultOverflowed);
339 
340   EXPECT_EQ(Max, SaturatingMultiply(T(2), Max));
341   EXPECT_EQ(Max, SaturatingMultiply(T(2), Max, &ResultOverflowed));
342   EXPECT_TRUE(ResultOverflowed);
343 
344   EXPECT_EQ(Max, SaturatingMultiply(Max, Max));
345   EXPECT_EQ(Max, SaturatingMultiply(Max, Max, &ResultOverflowed));
346   EXPECT_TRUE(ResultOverflowed);
347 
348   // Test interesting boundary conditions for algorithm -
349   // ((1 << A) - 1) * ((1 << B) + K) for K in [-1, 0, 1]
350   // and A + B == std::numeric_limits<T>::digits.
351   // We expect overflow iff A > B and K = 1.
352   const int Digits = std::numeric_limits<T>::digits;
353   for (int A = 1, B = Digits - 1; B >= 1; ++A, --B) {
354     for (int K = -1; K <= 1; ++K) {
355       T X = (T(1) << A) - T(1);
356       T Y = (T(1) << B) + K;
357       bool OverflowExpected = A > B && K == 1;
358 
359       if(OverflowExpected) {
360         EXPECT_EQ(Max, SaturatingMultiply(X, Y));
361         EXPECT_EQ(Max, SaturatingMultiply(X, Y, &ResultOverflowed));
362         EXPECT_TRUE(ResultOverflowed);
363       } else {
364         EXPECT_EQ(X * Y, SaturatingMultiply(X, Y));
365         EXPECT_EQ(X * Y, SaturatingMultiply(X, Y, &ResultOverflowed));
366         EXPECT_FALSE(ResultOverflowed);
367       }
368     }
369   }
370 }
371 
372 TEST(MathExtras, SaturatingMultiply) {
373   SaturatingMultiplyTestHelper<uint8_t>();
374   SaturatingMultiplyTestHelper<uint16_t>();
375   SaturatingMultiplyTestHelper<uint32_t>();
376   SaturatingMultiplyTestHelper<uint64_t>();
377 }
378 
379 template<typename T>
380 void SaturatingMultiplyAddTestHelper()
381 {
382   const T Max = std::numeric_limits<T>::max();
383   bool ResultOverflowed;
384 
385   // Test basic multiply-add.
386   EXPECT_EQ(T(16), SaturatingMultiplyAdd(T(2), T(3), T(10)));
387   EXPECT_EQ(T(16), SaturatingMultiplyAdd(T(2), T(3), T(10), &ResultOverflowed));
388   EXPECT_FALSE(ResultOverflowed);
389 
390   // Test multiply overflows, add doesn't overflow
391   EXPECT_EQ(Max, SaturatingMultiplyAdd(Max, Max, T(0), &ResultOverflowed));
392   EXPECT_TRUE(ResultOverflowed);
393 
394   // Test multiply doesn't overflow, add overflows
395   EXPECT_EQ(Max, SaturatingMultiplyAdd(T(1), T(1), Max, &ResultOverflowed));
396   EXPECT_TRUE(ResultOverflowed);
397 
398   // Test multiply-add with Max as operand
399   EXPECT_EQ(Max, SaturatingMultiplyAdd(T(1), T(1), Max, &ResultOverflowed));
400   EXPECT_TRUE(ResultOverflowed);
401 
402   EXPECT_EQ(Max, SaturatingMultiplyAdd(T(1), Max, T(1), &ResultOverflowed));
403   EXPECT_TRUE(ResultOverflowed);
404 
405   EXPECT_EQ(Max, SaturatingMultiplyAdd(Max, Max, T(1), &ResultOverflowed));
406   EXPECT_TRUE(ResultOverflowed);
407 
408   EXPECT_EQ(Max, SaturatingMultiplyAdd(Max, Max, Max, &ResultOverflowed));
409   EXPECT_TRUE(ResultOverflowed);
410 
411   // Test multiply-add with 0 as operand
412   EXPECT_EQ(T(1), SaturatingMultiplyAdd(T(1), T(1), T(0), &ResultOverflowed));
413   EXPECT_FALSE(ResultOverflowed);
414 
415   EXPECT_EQ(T(1), SaturatingMultiplyAdd(T(1), T(0), T(1), &ResultOverflowed));
416   EXPECT_FALSE(ResultOverflowed);
417 
418   EXPECT_EQ(T(1), SaturatingMultiplyAdd(T(0), T(0), T(1), &ResultOverflowed));
419   EXPECT_FALSE(ResultOverflowed);
420 
421   EXPECT_EQ(T(0), SaturatingMultiplyAdd(T(0), T(0), T(0), &ResultOverflowed));
422   EXPECT_FALSE(ResultOverflowed);
423 
424 }
425 
426 TEST(MathExtras, SaturatingMultiplyAdd) {
427   SaturatingMultiplyAddTestHelper<uint8_t>();
428   SaturatingMultiplyAddTestHelper<uint16_t>();
429   SaturatingMultiplyAddTestHelper<uint32_t>();
430   SaturatingMultiplyAddTestHelper<uint64_t>();
431 }
432 
433 TEST(MathExtras, IsShiftedUInt) {
434   EXPECT_TRUE((isShiftedUInt<1, 0>(0)));
435   EXPECT_TRUE((isShiftedUInt<1, 0>(1)));
436   EXPECT_FALSE((isShiftedUInt<1, 0>(2)));
437   EXPECT_FALSE((isShiftedUInt<1, 0>(3)));
438   EXPECT_FALSE((isShiftedUInt<1, 0>(0x8000000000000000)));
439   EXPECT_TRUE((isShiftedUInt<1, 63>(0x8000000000000000)));
440   EXPECT_TRUE((isShiftedUInt<2, 62>(0xC000000000000000)));
441   EXPECT_FALSE((isShiftedUInt<2, 62>(0xE000000000000000)));
442 
443   // 0x201 is ten bits long and has a 1 in the MSB and LSB.
444   EXPECT_TRUE((isShiftedUInt<10, 5>(uint64_t(0x201) << 5)));
445   EXPECT_FALSE((isShiftedUInt<10, 5>(uint64_t(0x201) << 4)));
446   EXPECT_FALSE((isShiftedUInt<10, 5>(uint64_t(0x201) << 6)));
447 }
448 
449 TEST(MathExtras, IsShiftedInt) {
450   EXPECT_TRUE((isShiftedInt<1, 0>(0)));
451   EXPECT_TRUE((isShiftedInt<1, 0>(-1)));
452   EXPECT_FALSE((isShiftedInt<1, 0>(2)));
453   EXPECT_FALSE((isShiftedInt<1, 0>(3)));
454   EXPECT_FALSE((isShiftedInt<1, 0>(0x8000000000000000)));
455   EXPECT_TRUE((isShiftedInt<1, 63>(0x8000000000000000)));
456   EXPECT_TRUE((isShiftedInt<2, 62>(0xC000000000000000)));
457   EXPECT_FALSE((isShiftedInt<2, 62>(0xE000000000000000)));
458 
459   // 0x201 is ten bits long and has a 1 in the MSB and LSB.
460   EXPECT_TRUE((isShiftedInt<11, 5>(int64_t(0x201) << 5)));
461   EXPECT_FALSE((isShiftedInt<11, 5>(int64_t(0x201) << 3)));
462   EXPECT_FALSE((isShiftedInt<11, 5>(int64_t(0x201) << 6)));
463   EXPECT_TRUE((isShiftedInt<11, 5>(-(int64_t(0x201) << 5))));
464   EXPECT_FALSE((isShiftedInt<11, 5>(-(int64_t(0x201) << 3))));
465   EXPECT_FALSE((isShiftedInt<11, 5>(-(int64_t(0x201) << 6))));
466 
467   EXPECT_TRUE((isShiftedInt<6, 10>(-(int64_t(1) << 15))));
468   EXPECT_FALSE((isShiftedInt<6, 10>(int64_t(1) << 15)));
469 }
470 
471 } // namespace
472