1 //===- llvm/unittest/Support/ScaledNumberTest.cpp - ScaledPair 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 "llvm/Support/ScaledNumber.h"
11 #include "llvm/Support/DataTypes.h"
12 #include "gtest/gtest.h"
13
14 using namespace llvm;
15 using namespace llvm::ScaledNumbers;
16
17 namespace {
18
19 template <class UIntT> struct ScaledPair {
20 UIntT D;
21 int S;
ScaledPair__anon3dd4740f0111::ScaledPair22 ScaledPair(const std::pair<UIntT, int16_t> &F) : D(F.first), S(F.second) {}
ScaledPair__anon3dd4740f0111::ScaledPair23 ScaledPair(UIntT D, int S) : D(D), S(S) {}
24
operator ==__anon3dd4740f0111::ScaledPair25 bool operator==(const ScaledPair<UIntT> &X) const {
26 return D == X.D && S == X.S;
27 }
28 };
29 template <class UIntT>
operator ==(const std::pair<UIntT,int16_t> & L,const ScaledPair<UIntT> & R)30 bool operator==(const std::pair<UIntT, int16_t> &L,
31 const ScaledPair<UIntT> &R) {
32 return ScaledPair<UIntT>(L) == R;
33 }
34 template <class UIntT>
PrintTo(const ScaledPair<UIntT> & F,::std::ostream * os)35 void PrintTo(const ScaledPair<UIntT> &F, ::std::ostream *os) {
36 *os << F.D << "*2^" << F.S;
37 }
38
39 typedef ScaledPair<uint32_t> SP32;
40 typedef ScaledPair<uint64_t> SP64;
41
TEST(ScaledNumberHelpersTest,getRounded)42 TEST(ScaledNumberHelpersTest, getRounded) {
43 EXPECT_EQ(getRounded32(0, 0, false), SP32(0, 0));
44 EXPECT_EQ(getRounded32(0, 0, true), SP32(1, 0));
45 EXPECT_EQ(getRounded32(20, 21, true), SP32(21, 21));
46 EXPECT_EQ(getRounded32(UINT32_MAX, 0, false), SP32(UINT32_MAX, 0));
47 EXPECT_EQ(getRounded32(UINT32_MAX, 0, true), SP32(1 << 31, 1));
48
49 EXPECT_EQ(getRounded64(0, 0, false), SP64(0, 0));
50 EXPECT_EQ(getRounded64(0, 0, true), SP64(1, 0));
51 EXPECT_EQ(getRounded64(20, 21, true), SP64(21, 21));
52 EXPECT_EQ(getRounded64(UINT32_MAX, 0, false), SP64(UINT32_MAX, 0));
53 EXPECT_EQ(getRounded64(UINT32_MAX, 0, true), SP64(UINT64_C(1) << 32, 0));
54 EXPECT_EQ(getRounded64(UINT64_MAX, 0, false), SP64(UINT64_MAX, 0));
55 EXPECT_EQ(getRounded64(UINT64_MAX, 0, true), SP64(UINT64_C(1) << 63, 1));
56 }
57
TEST(ScaledNumberHelpersTest,getAdjusted)58 TEST(ScaledNumberHelpersTest, getAdjusted) {
59 const uint64_t Max32In64 = UINT32_MAX;
60 EXPECT_EQ(getAdjusted32(0), SP32(0, 0));
61 EXPECT_EQ(getAdjusted32(0, 5), SP32(0, 5));
62 EXPECT_EQ(getAdjusted32(UINT32_MAX), SP32(UINT32_MAX, 0));
63 EXPECT_EQ(getAdjusted32(Max32In64 << 1), SP32(UINT32_MAX, 1));
64 EXPECT_EQ(getAdjusted32(Max32In64 << 1, 1), SP32(UINT32_MAX, 2));
65 EXPECT_EQ(getAdjusted32(Max32In64 << 31), SP32(UINT32_MAX, 31));
66 EXPECT_EQ(getAdjusted32(Max32In64 << 32), SP32(UINT32_MAX, 32));
67 EXPECT_EQ(getAdjusted32(Max32In64 + 1), SP32(1u << 31, 1));
68 EXPECT_EQ(getAdjusted32(UINT64_MAX), SP32(1u << 31, 33));
69
70 EXPECT_EQ(getAdjusted64(0), SP64(0, 0));
71 EXPECT_EQ(getAdjusted64(0, 5), SP64(0, 5));
72 EXPECT_EQ(getAdjusted64(UINT32_MAX), SP64(UINT32_MAX, 0));
73 EXPECT_EQ(getAdjusted64(Max32In64 << 1), SP64(Max32In64 << 1, 0));
74 EXPECT_EQ(getAdjusted64(Max32In64 << 1, 1), SP64(Max32In64 << 1, 1));
75 EXPECT_EQ(getAdjusted64(Max32In64 << 31), SP64(Max32In64 << 31, 0));
76 EXPECT_EQ(getAdjusted64(Max32In64 << 32), SP64(Max32In64 << 32, 0));
77 EXPECT_EQ(getAdjusted64(Max32In64 + 1), SP64(Max32In64 + 1, 0));
78 EXPECT_EQ(getAdjusted64(UINT64_MAX), SP64(UINT64_MAX, 0));
79 }
80
TEST(ScaledNumberHelpersTest,getProduct)81 TEST(ScaledNumberHelpersTest, getProduct) {
82 // Zero.
83 EXPECT_EQ(SP32(0, 0), getProduct32(0, 0));
84 EXPECT_EQ(SP32(0, 0), getProduct32(0, 1));
85 EXPECT_EQ(SP32(0, 0), getProduct32(0, 33));
86
87 // Basic.
88 EXPECT_EQ(SP32(6, 0), getProduct32(2, 3));
89 EXPECT_EQ(SP32(UINT16_MAX / 3 * UINT16_MAX / 5 * 2, 0),
90 getProduct32(UINT16_MAX / 3, UINT16_MAX / 5 * 2));
91
92 // Overflow, no loss of precision.
93 // ==> 0xf00010 * 0x1001
94 // ==> 0xf00f00000 + 0x10010
95 // ==> 0xf00f10010
96 // ==> 0xf00f1001 * 2^4
97 EXPECT_EQ(SP32(0xf00f1001, 4), getProduct32(0xf00010, 0x1001));
98
99 // Overflow, loss of precision, rounds down.
100 // ==> 0xf000070 * 0x1001
101 // ==> 0xf00f000000 + 0x70070
102 // ==> 0xf00f070070
103 // ==> 0xf00f0700 * 2^8
104 EXPECT_EQ(SP32(0xf00f0700, 8), getProduct32(0xf000070, 0x1001));
105
106 // Overflow, loss of precision, rounds up.
107 // ==> 0xf000080 * 0x1001
108 // ==> 0xf00f000000 + 0x80080
109 // ==> 0xf00f080080
110 // ==> 0xf00f0801 * 2^8
111 EXPECT_EQ(SP32(0xf00f0801, 8), getProduct32(0xf000080, 0x1001));
112
113 // Reverse operand order.
114 EXPECT_EQ(SP32(0, 0), getProduct32(1, 0));
115 EXPECT_EQ(SP32(0, 0), getProduct32(33, 0));
116 EXPECT_EQ(SP32(6, 0), getProduct32(3, 2));
117 EXPECT_EQ(SP32(UINT16_MAX / 3 * UINT16_MAX / 5 * 2, 0),
118 getProduct32(UINT16_MAX / 5 * 2, UINT16_MAX / 3));
119 EXPECT_EQ(SP32(0xf00f1001, 4), getProduct32(0x1001, 0xf00010));
120 EXPECT_EQ(SP32(0xf00f0700, 8), getProduct32(0x1001, 0xf000070));
121 EXPECT_EQ(SP32(0xf00f0801, 8), getProduct32(0x1001, 0xf000080));
122
123 // Round to overflow.
124 EXPECT_EQ(SP64(UINT64_C(1) << 63, 64),
125 getProduct64(UINT64_C(10376293541461622786),
126 UINT64_C(16397105843297379211)));
127
128 // Big number with rounding.
129 EXPECT_EQ(SP64(UINT64_C(9223372036854775810), 64),
130 getProduct64(UINT64_C(18446744073709551556),
131 UINT64_C(9223372036854775840)));
132 }
133
TEST(ScaledNumberHelpersTest,getQuotient)134 TEST(ScaledNumberHelpersTest, getQuotient) {
135 // Zero.
136 EXPECT_EQ(SP32(0, 0), getQuotient32(0, 0));
137 EXPECT_EQ(SP32(0, 0), getQuotient32(0, 1));
138 EXPECT_EQ(SP32(0, 0), getQuotient32(0, 73));
139 EXPECT_EQ(SP32(UINT32_MAX, MaxScale), getQuotient32(1, 0));
140 EXPECT_EQ(SP32(UINT32_MAX, MaxScale), getQuotient32(6, 0));
141
142 // Powers of two.
143 EXPECT_EQ(SP32(1u << 31, -31), getQuotient32(1, 1));
144 EXPECT_EQ(SP32(1u << 31, -30), getQuotient32(2, 1));
145 EXPECT_EQ(SP32(1u << 31, -33), getQuotient32(4, 16));
146 EXPECT_EQ(SP32(7u << 29, -29), getQuotient32(7, 1));
147 EXPECT_EQ(SP32(7u << 29, -30), getQuotient32(7, 2));
148 EXPECT_EQ(SP32(7u << 29, -33), getQuotient32(7, 16));
149
150 // Divide evenly.
151 EXPECT_EQ(SP32(3u << 30, -30), getQuotient32(9, 3));
152 EXPECT_EQ(SP32(9u << 28, -28), getQuotient32(63, 7));
153
154 // Divide unevenly.
155 EXPECT_EQ(SP32(0xaaaaaaab, -33), getQuotient32(1, 3));
156 EXPECT_EQ(SP32(0xd5555555, -31), getQuotient32(5, 3));
157
158 // 64-bit division is hard to test, since divide64 doesn't canonicalize its
159 // output. However, this is the algorithm the implementation uses:
160 //
161 // - Shift divisor right.
162 // - If we have 1 (power of 2), return early -- not canonicalized.
163 // - Shift dividend left.
164 // - 64-bit integer divide.
165 // - If there's a remainder, continue with long division.
166 //
167 // TODO: require less knowledge about the implementation in the test.
168
169 // Zero.
170 EXPECT_EQ(SP64(0, 0), getQuotient64(0, 0));
171 EXPECT_EQ(SP64(0, 0), getQuotient64(0, 1));
172 EXPECT_EQ(SP64(0, 0), getQuotient64(0, 73));
173 EXPECT_EQ(SP64(UINT64_MAX, MaxScale), getQuotient64(1, 0));
174 EXPECT_EQ(SP64(UINT64_MAX, MaxScale), getQuotient64(6, 0));
175
176 // Powers of two.
177 EXPECT_EQ(SP64(1, 0), getQuotient64(1, 1));
178 EXPECT_EQ(SP64(2, 0), getQuotient64(2, 1));
179 EXPECT_EQ(SP64(4, -4), getQuotient64(4, 16));
180 EXPECT_EQ(SP64(7, 0), getQuotient64(7, 1));
181 EXPECT_EQ(SP64(7, -1), getQuotient64(7, 2));
182 EXPECT_EQ(SP64(7, -4), getQuotient64(7, 16));
183
184 // Divide evenly.
185 EXPECT_EQ(SP64(UINT64_C(3) << 60, -60), getQuotient64(9, 3));
186 EXPECT_EQ(SP64(UINT64_C(9) << 58, -58), getQuotient64(63, 7));
187
188 // Divide unevenly.
189 EXPECT_EQ(SP64(0xaaaaaaaaaaaaaaab, -65), getQuotient64(1, 3));
190 EXPECT_EQ(SP64(0xd555555555555555, -63), getQuotient64(5, 3));
191 }
192
TEST(ScaledNumberHelpersTest,getLg)193 TEST(ScaledNumberHelpersTest, getLg) {
194 EXPECT_EQ(0, getLg(UINT32_C(1), 0));
195 EXPECT_EQ(1, getLg(UINT32_C(1), 1));
196 EXPECT_EQ(1, getLg(UINT32_C(2), 0));
197 EXPECT_EQ(3, getLg(UINT32_C(1), 3));
198 EXPECT_EQ(3, getLg(UINT32_C(7), 0));
199 EXPECT_EQ(3, getLg(UINT32_C(8), 0));
200 EXPECT_EQ(3, getLg(UINT32_C(9), 0));
201 EXPECT_EQ(3, getLg(UINT32_C(64), -3));
202 EXPECT_EQ(31, getLg((UINT32_MAX >> 1) + 2, 0));
203 EXPECT_EQ(32, getLg(UINT32_MAX, 0));
204 EXPECT_EQ(-1, getLg(UINT32_C(1), -1));
205 EXPECT_EQ(-1, getLg(UINT32_C(2), -2));
206 EXPECT_EQ(INT32_MIN, getLg(UINT32_C(0), -1));
207 EXPECT_EQ(INT32_MIN, getLg(UINT32_C(0), 0));
208 EXPECT_EQ(INT32_MIN, getLg(UINT32_C(0), 1));
209
210 EXPECT_EQ(0, getLg(UINT64_C(1), 0));
211 EXPECT_EQ(1, getLg(UINT64_C(1), 1));
212 EXPECT_EQ(1, getLg(UINT64_C(2), 0));
213 EXPECT_EQ(3, getLg(UINT64_C(1), 3));
214 EXPECT_EQ(3, getLg(UINT64_C(7), 0));
215 EXPECT_EQ(3, getLg(UINT64_C(8), 0));
216 EXPECT_EQ(3, getLg(UINT64_C(9), 0));
217 EXPECT_EQ(3, getLg(UINT64_C(64), -3));
218 EXPECT_EQ(63, getLg((UINT64_MAX >> 1) + 2, 0));
219 EXPECT_EQ(64, getLg(UINT64_MAX, 0));
220 EXPECT_EQ(-1, getLg(UINT64_C(1), -1));
221 EXPECT_EQ(-1, getLg(UINT64_C(2), -2));
222 EXPECT_EQ(INT32_MIN, getLg(UINT64_C(0), -1));
223 EXPECT_EQ(INT32_MIN, getLg(UINT64_C(0), 0));
224 EXPECT_EQ(INT32_MIN, getLg(UINT64_C(0), 1));
225 }
226
TEST(ScaledNumberHelpersTest,getLgFloor)227 TEST(ScaledNumberHelpersTest, getLgFloor) {
228 EXPECT_EQ(0, getLgFloor(UINT32_C(1), 0));
229 EXPECT_EQ(1, getLgFloor(UINT32_C(1), 1));
230 EXPECT_EQ(1, getLgFloor(UINT32_C(2), 0));
231 EXPECT_EQ(2, getLgFloor(UINT32_C(7), 0));
232 EXPECT_EQ(3, getLgFloor(UINT32_C(1), 3));
233 EXPECT_EQ(3, getLgFloor(UINT32_C(8), 0));
234 EXPECT_EQ(3, getLgFloor(UINT32_C(9), 0));
235 EXPECT_EQ(3, getLgFloor(UINT32_C(64), -3));
236 EXPECT_EQ(31, getLgFloor((UINT32_MAX >> 1) + 2, 0));
237 EXPECT_EQ(31, getLgFloor(UINT32_MAX, 0));
238 EXPECT_EQ(INT32_MIN, getLgFloor(UINT32_C(0), -1));
239 EXPECT_EQ(INT32_MIN, getLgFloor(UINT32_C(0), 0));
240 EXPECT_EQ(INT32_MIN, getLgFloor(UINT32_C(0), 1));
241
242 EXPECT_EQ(0, getLgFloor(UINT64_C(1), 0));
243 EXPECT_EQ(1, getLgFloor(UINT64_C(1), 1));
244 EXPECT_EQ(1, getLgFloor(UINT64_C(2), 0));
245 EXPECT_EQ(2, getLgFloor(UINT64_C(7), 0));
246 EXPECT_EQ(3, getLgFloor(UINT64_C(1), 3));
247 EXPECT_EQ(3, getLgFloor(UINT64_C(8), 0));
248 EXPECT_EQ(3, getLgFloor(UINT64_C(9), 0));
249 EXPECT_EQ(3, getLgFloor(UINT64_C(64), -3));
250 EXPECT_EQ(63, getLgFloor((UINT64_MAX >> 1) + 2, 0));
251 EXPECT_EQ(63, getLgFloor(UINT64_MAX, 0));
252 EXPECT_EQ(INT32_MIN, getLgFloor(UINT64_C(0), -1));
253 EXPECT_EQ(INT32_MIN, getLgFloor(UINT64_C(0), 0));
254 EXPECT_EQ(INT32_MIN, getLgFloor(UINT64_C(0), 1));
255 }
256
TEST(ScaledNumberHelpersTest,getLgCeiling)257 TEST(ScaledNumberHelpersTest, getLgCeiling) {
258 EXPECT_EQ(0, getLgCeiling(UINT32_C(1), 0));
259 EXPECT_EQ(1, getLgCeiling(UINT32_C(1), 1));
260 EXPECT_EQ(1, getLgCeiling(UINT32_C(2), 0));
261 EXPECT_EQ(3, getLgCeiling(UINT32_C(1), 3));
262 EXPECT_EQ(3, getLgCeiling(UINT32_C(7), 0));
263 EXPECT_EQ(3, getLgCeiling(UINT32_C(8), 0));
264 EXPECT_EQ(3, getLgCeiling(UINT32_C(64), -3));
265 EXPECT_EQ(4, getLgCeiling(UINT32_C(9), 0));
266 EXPECT_EQ(32, getLgCeiling(UINT32_MAX, 0));
267 EXPECT_EQ(32, getLgCeiling((UINT32_MAX >> 1) + 2, 0));
268 EXPECT_EQ(INT32_MIN, getLgCeiling(UINT32_C(0), -1));
269 EXPECT_EQ(INT32_MIN, getLgCeiling(UINT32_C(0), 0));
270 EXPECT_EQ(INT32_MIN, getLgCeiling(UINT32_C(0), 1));
271
272 EXPECT_EQ(0, getLgCeiling(UINT64_C(1), 0));
273 EXPECT_EQ(1, getLgCeiling(UINT64_C(1), 1));
274 EXPECT_EQ(1, getLgCeiling(UINT64_C(2), 0));
275 EXPECT_EQ(3, getLgCeiling(UINT64_C(1), 3));
276 EXPECT_EQ(3, getLgCeiling(UINT64_C(7), 0));
277 EXPECT_EQ(3, getLgCeiling(UINT64_C(8), 0));
278 EXPECT_EQ(3, getLgCeiling(UINT64_C(64), -3));
279 EXPECT_EQ(4, getLgCeiling(UINT64_C(9), 0));
280 EXPECT_EQ(64, getLgCeiling((UINT64_MAX >> 1) + 2, 0));
281 EXPECT_EQ(64, getLgCeiling(UINT64_MAX, 0));
282 EXPECT_EQ(INT32_MIN, getLgCeiling(UINT64_C(0), -1));
283 EXPECT_EQ(INT32_MIN, getLgCeiling(UINT64_C(0), 0));
284 EXPECT_EQ(INT32_MIN, getLgCeiling(UINT64_C(0), 1));
285 }
286
TEST(ScaledNumberHelpersTest,compare)287 TEST(ScaledNumberHelpersTest, compare) {
288 EXPECT_EQ(0, compare(UINT32_C(0), 0, UINT32_C(0), 1));
289 EXPECT_EQ(0, compare(UINT32_C(0), 0, UINT32_C(0), -10));
290 EXPECT_EQ(0, compare(UINT32_C(0), 0, UINT32_C(0), 20));
291 EXPECT_EQ(0, compare(UINT32_C(8), 0, UINT32_C(64), -3));
292 EXPECT_EQ(0, compare(UINT32_C(8), 0, UINT32_C(32), -2));
293 EXPECT_EQ(0, compare(UINT32_C(8), 0, UINT32_C(16), -1));
294 EXPECT_EQ(0, compare(UINT32_C(8), 0, UINT32_C(8), 0));
295 EXPECT_EQ(0, compare(UINT32_C(8), 0, UINT32_C(4), 1));
296 EXPECT_EQ(0, compare(UINT32_C(8), 0, UINT32_C(2), 2));
297 EXPECT_EQ(0, compare(UINT32_C(8), 0, UINT32_C(1), 3));
298 EXPECT_EQ(-1, compare(UINT32_C(0), 0, UINT32_C(1), 3));
299 EXPECT_EQ(-1, compare(UINT32_C(7), 0, UINT32_C(1), 3));
300 EXPECT_EQ(-1, compare(UINT32_C(7), 0, UINT32_C(64), -3));
301 EXPECT_EQ(1, compare(UINT32_C(9), 0, UINT32_C(1), 3));
302 EXPECT_EQ(1, compare(UINT32_C(9), 0, UINT32_C(64), -3));
303 EXPECT_EQ(1, compare(UINT32_C(9), 0, UINT32_C(0), 0));
304
305 EXPECT_EQ(0, compare(UINT64_C(0), 0, UINT64_C(0), 1));
306 EXPECT_EQ(0, compare(UINT64_C(0), 0, UINT64_C(0), -10));
307 EXPECT_EQ(0, compare(UINT64_C(0), 0, UINT64_C(0), 20));
308 EXPECT_EQ(0, compare(UINT64_C(8), 0, UINT64_C(64), -3));
309 EXPECT_EQ(0, compare(UINT64_C(8), 0, UINT64_C(32), -2));
310 EXPECT_EQ(0, compare(UINT64_C(8), 0, UINT64_C(16), -1));
311 EXPECT_EQ(0, compare(UINT64_C(8), 0, UINT64_C(8), 0));
312 EXPECT_EQ(0, compare(UINT64_C(8), 0, UINT64_C(4), 1));
313 EXPECT_EQ(0, compare(UINT64_C(8), 0, UINT64_C(2), 2));
314 EXPECT_EQ(0, compare(UINT64_C(8), 0, UINT64_C(1), 3));
315 EXPECT_EQ(-1, compare(UINT64_C(0), 0, UINT64_C(1), 3));
316 EXPECT_EQ(-1, compare(UINT64_C(7), 0, UINT64_C(1), 3));
317 EXPECT_EQ(-1, compare(UINT64_C(7), 0, UINT64_C(64), -3));
318 EXPECT_EQ(1, compare(UINT64_C(9), 0, UINT64_C(1), 3));
319 EXPECT_EQ(1, compare(UINT64_C(9), 0, UINT64_C(64), -3));
320 EXPECT_EQ(1, compare(UINT64_C(9), 0, UINT64_C(0), 0));
321 EXPECT_EQ(-1, compare(UINT64_MAX, 0, UINT64_C(1), 64));
322 }
323
TEST(ScaledNumberHelpersTest,matchScales)324 TEST(ScaledNumberHelpersTest, matchScales) {
325 #define MATCH_SCALES(T, LDIn, LSIn, RDIn, RSIn, LDOut, RDOut, SOut) \
326 do { \
327 T LDx = LDIn; \
328 T RDx = RDIn; \
329 T LDy = LDOut; \
330 T RDy = RDOut; \
331 int16_t LSx = LSIn; \
332 int16_t RSx = RSIn; \
333 int16_t Sy = SOut; \
334 \
335 EXPECT_EQ(SOut, matchScales(LDx, LSx, RDx, RSx)); \
336 EXPECT_EQ(LDy, LDx); \
337 EXPECT_EQ(RDy, RDx); \
338 if (LDy) \
339 EXPECT_EQ(Sy, LSx); \
340 if (RDy) \
341 EXPECT_EQ(Sy, RSx); \
342 } while (false)
343
344 MATCH_SCALES(uint32_t, 0, 0, 0, 0, 0, 0, 0);
345 MATCH_SCALES(uint32_t, 0, 50, 7, 1, 0, 7, 1);
346 MATCH_SCALES(uint32_t, UINT32_C(1) << 31, 1, 9, 0, UINT32_C(1) << 31, 4, 1);
347 MATCH_SCALES(uint32_t, UINT32_C(1) << 31, 2, 9, 0, UINT32_C(1) << 31, 2, 2);
348 MATCH_SCALES(uint32_t, UINT32_C(1) << 31, 3, 9, 0, UINT32_C(1) << 31, 1, 3);
349 MATCH_SCALES(uint32_t, UINT32_C(1) << 31, 4, 9, 0, UINT32_C(1) << 31, 0, 4);
350 MATCH_SCALES(uint32_t, UINT32_C(1) << 30, 4, 9, 0, UINT32_C(1) << 31, 1, 3);
351 MATCH_SCALES(uint32_t, UINT32_C(1) << 29, 4, 9, 0, UINT32_C(1) << 31, 2, 2);
352 MATCH_SCALES(uint32_t, UINT32_C(1) << 28, 4, 9, 0, UINT32_C(1) << 31, 4, 1);
353 MATCH_SCALES(uint32_t, UINT32_C(1) << 27, 4, 9, 0, UINT32_C(1) << 31, 9, 0);
354 MATCH_SCALES(uint32_t, 7, 1, 0, 50, 7, 0, 1);
355 MATCH_SCALES(uint32_t, 9, 0, UINT32_C(1) << 31, 1, 4, UINT32_C(1) << 31, 1);
356 MATCH_SCALES(uint32_t, 9, 0, UINT32_C(1) << 31, 2, 2, UINT32_C(1) << 31, 2);
357 MATCH_SCALES(uint32_t, 9, 0, UINT32_C(1) << 31, 3, 1, UINT32_C(1) << 31, 3);
358 MATCH_SCALES(uint32_t, 9, 0, UINT32_C(1) << 31, 4, 0, UINT32_C(1) << 31, 4);
359 MATCH_SCALES(uint32_t, 9, 0, UINT32_C(1) << 30, 4, 1, UINT32_C(1) << 31, 3);
360 MATCH_SCALES(uint32_t, 9, 0, UINT32_C(1) << 29, 4, 2, UINT32_C(1) << 31, 2);
361 MATCH_SCALES(uint32_t, 9, 0, UINT32_C(1) << 28, 4, 4, UINT32_C(1) << 31, 1);
362 MATCH_SCALES(uint32_t, 9, 0, UINT32_C(1) << 27, 4, 9, UINT32_C(1) << 31, 0);
363
364 MATCH_SCALES(uint64_t, 0, 0, 0, 0, 0, 0, 0);
365 MATCH_SCALES(uint64_t, 0, 100, 7, 1, 0, 7, 1);
366 MATCH_SCALES(uint64_t, UINT64_C(1) << 63, 1, 9, 0, UINT64_C(1) << 63, 4, 1);
367 MATCH_SCALES(uint64_t, UINT64_C(1) << 63, 2, 9, 0, UINT64_C(1) << 63, 2, 2);
368 MATCH_SCALES(uint64_t, UINT64_C(1) << 63, 3, 9, 0, UINT64_C(1) << 63, 1, 3);
369 MATCH_SCALES(uint64_t, UINT64_C(1) << 63, 4, 9, 0, UINT64_C(1) << 63, 0, 4);
370 MATCH_SCALES(uint64_t, UINT64_C(1) << 62, 4, 9, 0, UINT64_C(1) << 63, 1, 3);
371 MATCH_SCALES(uint64_t, UINT64_C(1) << 61, 4, 9, 0, UINT64_C(1) << 63, 2, 2);
372 MATCH_SCALES(uint64_t, UINT64_C(1) << 60, 4, 9, 0, UINT64_C(1) << 63, 4, 1);
373 MATCH_SCALES(uint64_t, UINT64_C(1) << 59, 4, 9, 0, UINT64_C(1) << 63, 9, 0);
374 MATCH_SCALES(uint64_t, 7, 1, 0, 100, 7, 0, 1);
375 MATCH_SCALES(uint64_t, 9, 0, UINT64_C(1) << 63, 1, 4, UINT64_C(1) << 63, 1);
376 MATCH_SCALES(uint64_t, 9, 0, UINT64_C(1) << 63, 2, 2, UINT64_C(1) << 63, 2);
377 MATCH_SCALES(uint64_t, 9, 0, UINT64_C(1) << 63, 3, 1, UINT64_C(1) << 63, 3);
378 MATCH_SCALES(uint64_t, 9, 0, UINT64_C(1) << 63, 4, 0, UINT64_C(1) << 63, 4);
379 MATCH_SCALES(uint64_t, 9, 0, UINT64_C(1) << 62, 4, 1, UINT64_C(1) << 63, 3);
380 MATCH_SCALES(uint64_t, 9, 0, UINT64_C(1) << 61, 4, 2, UINT64_C(1) << 63, 2);
381 MATCH_SCALES(uint64_t, 9, 0, UINT64_C(1) << 60, 4, 4, UINT64_C(1) << 63, 1);
382 MATCH_SCALES(uint64_t, 9, 0, UINT64_C(1) << 59, 4, 9, UINT64_C(1) << 63, 0);
383 }
384
TEST(ScaledNumberHelpersTest,getSum)385 TEST(ScaledNumberHelpersTest, getSum) {
386 // Zero.
387 EXPECT_EQ(SP32(1, 0), getSum32(0, 0, 1, 0));
388 EXPECT_EQ(SP32(8, -3), getSum32(0, 0, 8, -3));
389 EXPECT_EQ(SP32(UINT32_MAX, 0), getSum32(0, 0, UINT32_MAX, 0));
390
391 // Basic.
392 EXPECT_EQ(SP32(2, 0), getSum32(1, 0, 1, 0));
393 EXPECT_EQ(SP32(3, 0), getSum32(1, 0, 2, 0));
394 EXPECT_EQ(SP32(67, 0), getSum32(7, 0, 60, 0));
395
396 // Different scales.
397 EXPECT_EQ(SP32(3, 0), getSum32(1, 0, 1, 1));
398 EXPECT_EQ(SP32(4, 0), getSum32(2, 0, 1, 1));
399
400 // Loss of precision.
401 EXPECT_EQ(SP32(UINT32_C(1) << 31, 1), getSum32(1, 32, 1, 0));
402 EXPECT_EQ(SP32(UINT32_C(1) << 31, -31), getSum32(1, -32, 1, 0));
403
404 // Not quite loss of precision.
405 EXPECT_EQ(SP32((UINT32_C(1) << 31) + 1, 1), getSum32(1, 32, 1, 1));
406 EXPECT_EQ(SP32((UINT32_C(1) << 31) + 1, -32), getSum32(1, -32, 1, -1));
407
408 // Overflow.
409 EXPECT_EQ(SP32(UINT32_C(1) << 31, 1), getSum32(1, 0, UINT32_MAX, 0));
410
411 // Reverse operand order.
412 EXPECT_EQ(SP32(1, 0), getSum32(1, 0, 0, 0));
413 EXPECT_EQ(SP32(8, -3), getSum32(8, -3, 0, 0));
414 EXPECT_EQ(SP32(UINT32_MAX, 0), getSum32(UINT32_MAX, 0, 0, 0));
415 EXPECT_EQ(SP32(3, 0), getSum32(2, 0, 1, 0));
416 EXPECT_EQ(SP32(67, 0), getSum32(60, 0, 7, 0));
417 EXPECT_EQ(SP32(3, 0), getSum32(1, 1, 1, 0));
418 EXPECT_EQ(SP32(4, 0), getSum32(1, 1, 2, 0));
419 EXPECT_EQ(SP32(UINT32_C(1) << 31, 1), getSum32(1, 0, 1, 32));
420 EXPECT_EQ(SP32(UINT32_C(1) << 31, -31), getSum32(1, 0, 1, -32));
421 EXPECT_EQ(SP32((UINT32_C(1) << 31) + 1, 1), getSum32(1, 1, 1, 32));
422 EXPECT_EQ(SP32((UINT32_C(1) << 31) + 1, -32), getSum32(1, -1, 1, -32));
423 EXPECT_EQ(SP32(UINT32_C(1) << 31, 1), getSum32(UINT32_MAX, 0, 1, 0));
424
425 // Zero.
426 EXPECT_EQ(SP64(1, 0), getSum64(0, 0, 1, 0));
427 EXPECT_EQ(SP64(8, -3), getSum64(0, 0, 8, -3));
428 EXPECT_EQ(SP64(UINT64_MAX, 0), getSum64(0, 0, UINT64_MAX, 0));
429
430 // Basic.
431 EXPECT_EQ(SP64(2, 0), getSum64(1, 0, 1, 0));
432 EXPECT_EQ(SP64(3, 0), getSum64(1, 0, 2, 0));
433 EXPECT_EQ(SP64(67, 0), getSum64(7, 0, 60, 0));
434
435 // Different scales.
436 EXPECT_EQ(SP64(3, 0), getSum64(1, 0, 1, 1));
437 EXPECT_EQ(SP64(4, 0), getSum64(2, 0, 1, 1));
438
439 // Loss of precision.
440 EXPECT_EQ(SP64(UINT64_C(1) << 63, 1), getSum64(1, 64, 1, 0));
441 EXPECT_EQ(SP64(UINT64_C(1) << 63, -63), getSum64(1, -64, 1, 0));
442
443 // Not quite loss of precision.
444 EXPECT_EQ(SP64((UINT64_C(1) << 63) + 1, 1), getSum64(1, 64, 1, 1));
445 EXPECT_EQ(SP64((UINT64_C(1) << 63) + 1, -64), getSum64(1, -64, 1, -1));
446
447 // Overflow.
448 EXPECT_EQ(SP64(UINT64_C(1) << 63, 1), getSum64(1, 0, UINT64_MAX, 0));
449
450 // Reverse operand order.
451 EXPECT_EQ(SP64(1, 0), getSum64(1, 0, 0, 0));
452 EXPECT_EQ(SP64(8, -3), getSum64(8, -3, 0, 0));
453 EXPECT_EQ(SP64(UINT64_MAX, 0), getSum64(UINT64_MAX, 0, 0, 0));
454 EXPECT_EQ(SP64(3, 0), getSum64(2, 0, 1, 0));
455 EXPECT_EQ(SP64(67, 0), getSum64(60, 0, 7, 0));
456 EXPECT_EQ(SP64(3, 0), getSum64(1, 1, 1, 0));
457 EXPECT_EQ(SP64(4, 0), getSum64(1, 1, 2, 0));
458 EXPECT_EQ(SP64(UINT64_C(1) << 63, 1), getSum64(1, 0, 1, 64));
459 EXPECT_EQ(SP64(UINT64_C(1) << 63, -63), getSum64(1, 0, 1, -64));
460 EXPECT_EQ(SP64((UINT64_C(1) << 63) + 1, 1), getSum64(1, 1, 1, 64));
461 EXPECT_EQ(SP64((UINT64_C(1) << 63) + 1, -64), getSum64(1, -1, 1, -64));
462 EXPECT_EQ(SP64(UINT64_C(1) << 63, 1), getSum64(UINT64_MAX, 0, 1, 0));
463 }
464
TEST(ScaledNumberHelpersTest,getDifference)465 TEST(ScaledNumberHelpersTest, getDifference) {
466 // Basic.
467 EXPECT_EQ(SP32(0, 0), getDifference32(1, 0, 1, 0));
468 EXPECT_EQ(SP32(1, 0), getDifference32(2, 0, 1, 0));
469 EXPECT_EQ(SP32(53, 0), getDifference32(60, 0, 7, 0));
470
471 // Equals "0", different scales.
472 EXPECT_EQ(SP32(0, 0), getDifference32(2, 0, 1, 1));
473
474 // Subtract "0".
475 EXPECT_EQ(SP32(1, 0), getDifference32(1, 0, 0, 0));
476 EXPECT_EQ(SP32(8, -3), getDifference32(8, -3, 0, 0));
477 EXPECT_EQ(SP32(UINT32_MAX, 0), getDifference32(UINT32_MAX, 0, 0, 0));
478
479 // Loss of precision.
480 EXPECT_EQ(SP32((UINT32_C(1) << 31) + 1, 1),
481 getDifference32((UINT32_C(1) << 31) + 1, 1, 1, 0));
482 EXPECT_EQ(SP32((UINT32_C(1) << 31) + 1, -31),
483 getDifference32((UINT32_C(1) << 31) + 1, -31, 1, -32));
484
485 // Not quite loss of precision.
486 EXPECT_EQ(SP32(UINT32_MAX, 0), getDifference32(1, 32, 1, 0));
487 EXPECT_EQ(SP32(UINT32_MAX, -32), getDifference32(1, 0, 1, -32));
488
489 // Saturate to "0".
490 EXPECT_EQ(SP32(0, 0), getDifference32(0, 0, 1, 0));
491 EXPECT_EQ(SP32(0, 0), getDifference32(0, 0, 8, -3));
492 EXPECT_EQ(SP32(0, 0), getDifference32(0, 0, UINT32_MAX, 0));
493 EXPECT_EQ(SP32(0, 0), getDifference32(7, 0, 60, 0));
494 EXPECT_EQ(SP32(0, 0), getDifference32(1, 0, 1, 1));
495 EXPECT_EQ(SP32(0, 0), getDifference32(1, -32, 1, 0));
496 EXPECT_EQ(SP32(0, 0), getDifference32(1, -32, 1, -1));
497
498 // Regression tests for cases that failed during bringup.
499 EXPECT_EQ(SP32(UINT32_C(1) << 26, -31),
500 getDifference32(1, 0, UINT32_C(31) << 27, -32));
501
502 // Basic.
503 EXPECT_EQ(SP64(0, 0), getDifference64(1, 0, 1, 0));
504 EXPECT_EQ(SP64(1, 0), getDifference64(2, 0, 1, 0));
505 EXPECT_EQ(SP64(53, 0), getDifference64(60, 0, 7, 0));
506
507 // Equals "0", different scales.
508 EXPECT_EQ(SP64(0, 0), getDifference64(2, 0, 1, 1));
509
510 // Subtract "0".
511 EXPECT_EQ(SP64(1, 0), getDifference64(1, 0, 0, 0));
512 EXPECT_EQ(SP64(8, -3), getDifference64(8, -3, 0, 0));
513 EXPECT_EQ(SP64(UINT64_MAX, 0), getDifference64(UINT64_MAX, 0, 0, 0));
514
515 // Loss of precision.
516 EXPECT_EQ(SP64((UINT64_C(1) << 63) + 1, 1),
517 getDifference64((UINT64_C(1) << 63) + 1, 1, 1, 0));
518 EXPECT_EQ(SP64((UINT64_C(1) << 63) + 1, -63),
519 getDifference64((UINT64_C(1) << 63) + 1, -63, 1, -64));
520
521 // Not quite loss of precision.
522 EXPECT_EQ(SP64(UINT64_MAX, 0), getDifference64(1, 64, 1, 0));
523 EXPECT_EQ(SP64(UINT64_MAX, -64), getDifference64(1, 0, 1, -64));
524
525 // Saturate to "0".
526 EXPECT_EQ(SP64(0, 0), getDifference64(0, 0, 1, 0));
527 EXPECT_EQ(SP64(0, 0), getDifference64(0, 0, 8, -3));
528 EXPECT_EQ(SP64(0, 0), getDifference64(0, 0, UINT64_MAX, 0));
529 EXPECT_EQ(SP64(0, 0), getDifference64(7, 0, 60, 0));
530 EXPECT_EQ(SP64(0, 0), getDifference64(1, 0, 1, 1));
531 EXPECT_EQ(SP64(0, 0), getDifference64(1, -64, 1, 0));
532 EXPECT_EQ(SP64(0, 0), getDifference64(1, -64, 1, -1));
533 }
534
TEST(ScaledNumberHelpersTest,arithmeticOperators)535 TEST(ScaledNumberHelpersTest, arithmeticOperators) {
536 EXPECT_EQ(ScaledNumber<uint32_t>(10, 0),
537 ScaledNumber<uint32_t>(1, 3) + ScaledNumber<uint32_t>(1, 1));
538 EXPECT_EQ(ScaledNumber<uint32_t>(6, 0),
539 ScaledNumber<uint32_t>(1, 3) - ScaledNumber<uint32_t>(1, 1));
540 EXPECT_EQ(ScaledNumber<uint32_t>(2, 3),
541 ScaledNumber<uint32_t>(1, 3) * ScaledNumber<uint32_t>(1, 1));
542 EXPECT_EQ(ScaledNumber<uint32_t>(1, 2),
543 ScaledNumber<uint32_t>(1, 3) / ScaledNumber<uint32_t>(1, 1));
544 EXPECT_EQ(ScaledNumber<uint32_t>(1, 2), ScaledNumber<uint32_t>(1, 3) >> 1);
545 EXPECT_EQ(ScaledNumber<uint32_t>(1, 4), ScaledNumber<uint32_t>(1, 3) << 1);
546
547 EXPECT_EQ(ScaledNumber<uint64_t>(10, 0),
548 ScaledNumber<uint64_t>(1, 3) + ScaledNumber<uint64_t>(1, 1));
549 EXPECT_EQ(ScaledNumber<uint64_t>(6, 0),
550 ScaledNumber<uint64_t>(1, 3) - ScaledNumber<uint64_t>(1, 1));
551 EXPECT_EQ(ScaledNumber<uint64_t>(2, 3),
552 ScaledNumber<uint64_t>(1, 3) * ScaledNumber<uint64_t>(1, 1));
553 EXPECT_EQ(ScaledNumber<uint64_t>(1, 2),
554 ScaledNumber<uint64_t>(1, 3) / ScaledNumber<uint64_t>(1, 1));
555 EXPECT_EQ(ScaledNumber<uint64_t>(1, 2), ScaledNumber<uint64_t>(1, 3) >> 1);
556 EXPECT_EQ(ScaledNumber<uint64_t>(1, 4), ScaledNumber<uint64_t>(1, 3) << 1);
557 }
558
TEST(ScaledNumberHelpersTest,toIntBug)559 TEST(ScaledNumberHelpersTest, toIntBug) {
560 ScaledNumber<uint32_t> n(1, 0);
561 EXPECT_EQ(1u, (n * n).toInt<uint32_t>());
562 }
563
564 } // end namespace
565