1 //===- llvm/unittest/ADT/APFloat.cpp - APFloat unit 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/ADT/APFloat.h"
11 #include "llvm/ADT/APSInt.h"
12 #include "llvm/ADT/SmallString.h"
13 #include "llvm/ADT/SmallVector.h"
14 #include "llvm/Support/raw_ostream.h"
15 #include "gtest/gtest.h"
16 #include <ostream>
17 #include <string>
18
19 using namespace llvm;
20
convertToDoubleFromString(const char * Str)21 static double convertToDoubleFromString(const char *Str) {
22 llvm::APFloat F(0.0);
23 F.convertFromString(Str, llvm::APFloat::rmNearestTiesToEven);
24 return F.convertToDouble();
25 }
26
convertToString(double d,unsigned Prec,unsigned Pad)27 static std::string convertToString(double d, unsigned Prec, unsigned Pad) {
28 llvm::SmallVector<char, 100> Buffer;
29 llvm::APFloat F(d);
30 F.toString(Buffer, Prec, Pad);
31 return std::string(Buffer.data(), Buffer.size());
32 }
33
34 namespace {
35
TEST(APFloatTest,Denormal)36 TEST(APFloatTest, Denormal) {
37 APFloat::roundingMode rdmd = APFloat::rmNearestTiesToEven;
38
39 // Test single precision
40 {
41 const char *MinNormalStr = "1.17549435082228750797e-38";
42 EXPECT_FALSE(APFloat(APFloat::IEEEsingle, MinNormalStr).isDenormal());
43 EXPECT_FALSE(APFloat(APFloat::IEEEsingle, 0.0).isDenormal());
44
45 APFloat Val2(APFloat::IEEEsingle, 2.0e0);
46 APFloat T(APFloat::IEEEsingle, MinNormalStr);
47 T.divide(Val2, rdmd);
48 EXPECT_TRUE(T.isDenormal());
49 }
50
51 // Test double precision
52 {
53 const char *MinNormalStr = "2.22507385850720138309e-308";
54 EXPECT_FALSE(APFloat(APFloat::IEEEdouble, MinNormalStr).isDenormal());
55 EXPECT_FALSE(APFloat(APFloat::IEEEdouble, 0.0).isDenormal());
56
57 APFloat Val2(APFloat::IEEEdouble, 2.0e0);
58 APFloat T(APFloat::IEEEdouble, MinNormalStr);
59 T.divide(Val2, rdmd);
60 EXPECT_TRUE(T.isDenormal());
61 }
62
63 // Test Intel double-ext
64 {
65 const char *MinNormalStr = "3.36210314311209350626e-4932";
66 EXPECT_FALSE(APFloat(APFloat::x87DoubleExtended, MinNormalStr).isDenormal());
67 EXPECT_FALSE(APFloat(APFloat::x87DoubleExtended, 0.0).isDenormal());
68
69 APFloat Val2(APFloat::x87DoubleExtended, 2.0e0);
70 APFloat T(APFloat::x87DoubleExtended, MinNormalStr);
71 T.divide(Val2, rdmd);
72 EXPECT_TRUE(T.isDenormal());
73 }
74
75 // Test quadruple precision
76 {
77 const char *MinNormalStr = "3.36210314311209350626267781732175260e-4932";
78 EXPECT_FALSE(APFloat(APFloat::IEEEquad, MinNormalStr).isDenormal());
79 EXPECT_FALSE(APFloat(APFloat::IEEEquad, 0.0).isDenormal());
80
81 APFloat Val2(APFloat::IEEEquad, 2.0e0);
82 APFloat T(APFloat::IEEEquad, MinNormalStr);
83 T.divide(Val2, rdmd);
84 EXPECT_TRUE(T.isDenormal());
85 }
86 }
87
TEST(APFloatTest,Zero)88 TEST(APFloatTest, Zero) {
89 EXPECT_EQ(0.0f, APFloat(0.0f).convertToFloat());
90 EXPECT_EQ(-0.0f, APFloat(-0.0f).convertToFloat());
91 EXPECT_TRUE(APFloat(-0.0f).isNegative());
92
93 EXPECT_EQ(0.0, APFloat(0.0).convertToDouble());
94 EXPECT_EQ(-0.0, APFloat(-0.0).convertToDouble());
95 EXPECT_TRUE(APFloat(-0.0).isNegative());
96 }
97
TEST(APFloatTest,fromZeroDecimalString)98 TEST(APFloatTest, fromZeroDecimalString) {
99 EXPECT_EQ( 0.0, APFloat(APFloat::IEEEdouble, "0").convertToDouble());
100 EXPECT_EQ(+0.0, APFloat(APFloat::IEEEdouble, "+0").convertToDouble());
101 EXPECT_EQ(-0.0, APFloat(APFloat::IEEEdouble, "-0").convertToDouble());
102
103 EXPECT_EQ( 0.0, APFloat(APFloat::IEEEdouble, "0.").convertToDouble());
104 EXPECT_EQ(+0.0, APFloat(APFloat::IEEEdouble, "+0.").convertToDouble());
105 EXPECT_EQ(-0.0, APFloat(APFloat::IEEEdouble, "-0.").convertToDouble());
106
107 EXPECT_EQ( 0.0, APFloat(APFloat::IEEEdouble, ".0").convertToDouble());
108 EXPECT_EQ(+0.0, APFloat(APFloat::IEEEdouble, "+.0").convertToDouble());
109 EXPECT_EQ(-0.0, APFloat(APFloat::IEEEdouble, "-.0").convertToDouble());
110
111 EXPECT_EQ( 0.0, APFloat(APFloat::IEEEdouble, "0.0").convertToDouble());
112 EXPECT_EQ(+0.0, APFloat(APFloat::IEEEdouble, "+0.0").convertToDouble());
113 EXPECT_EQ(-0.0, APFloat(APFloat::IEEEdouble, "-0.0").convertToDouble());
114
115 EXPECT_EQ( 0.0, APFloat(APFloat::IEEEdouble, "00000.").convertToDouble());
116 EXPECT_EQ(+0.0, APFloat(APFloat::IEEEdouble, "+00000.").convertToDouble());
117 EXPECT_EQ(-0.0, APFloat(APFloat::IEEEdouble, "-00000.").convertToDouble());
118
119 EXPECT_EQ(0.0, APFloat(APFloat::IEEEdouble, ".00000").convertToDouble());
120 EXPECT_EQ(+0.0, APFloat(APFloat::IEEEdouble, "+.00000").convertToDouble());
121 EXPECT_EQ(-0.0, APFloat(APFloat::IEEEdouble, "-.00000").convertToDouble());
122
123 EXPECT_EQ( 0.0, APFloat(APFloat::IEEEdouble, "0000.00000").convertToDouble());
124 EXPECT_EQ(+0.0, APFloat(APFloat::IEEEdouble, "+0000.00000").convertToDouble());
125 EXPECT_EQ(-0.0, APFloat(APFloat::IEEEdouble, "-0000.00000").convertToDouble());
126 }
127
TEST(APFloatTest,fromZeroDecimalSingleExponentString)128 TEST(APFloatTest, fromZeroDecimalSingleExponentString) {
129 EXPECT_EQ( 0.0, APFloat(APFloat::IEEEdouble, "0e1").convertToDouble());
130 EXPECT_EQ(+0.0, APFloat(APFloat::IEEEdouble, "+0e1").convertToDouble());
131 EXPECT_EQ(-0.0, APFloat(APFloat::IEEEdouble, "-0e1").convertToDouble());
132
133 EXPECT_EQ( 0.0, APFloat(APFloat::IEEEdouble, "0e+1").convertToDouble());
134 EXPECT_EQ(+0.0, APFloat(APFloat::IEEEdouble, "+0e+1").convertToDouble());
135 EXPECT_EQ(-0.0, APFloat(APFloat::IEEEdouble, "-0e+1").convertToDouble());
136
137 EXPECT_EQ( 0.0, APFloat(APFloat::IEEEdouble, "0e-1").convertToDouble());
138 EXPECT_EQ(+0.0, APFloat(APFloat::IEEEdouble, "+0e-1").convertToDouble());
139 EXPECT_EQ(-0.0, APFloat(APFloat::IEEEdouble, "-0e-1").convertToDouble());
140
141
142 EXPECT_EQ( 0.0, APFloat(APFloat::IEEEdouble, "0.e1").convertToDouble());
143 EXPECT_EQ(+0.0, APFloat(APFloat::IEEEdouble, "+0.e1").convertToDouble());
144 EXPECT_EQ(-0.0, APFloat(APFloat::IEEEdouble, "-0.e1").convertToDouble());
145
146 EXPECT_EQ( 0.0, APFloat(APFloat::IEEEdouble, "0.e+1").convertToDouble());
147 EXPECT_EQ(+0.0, APFloat(APFloat::IEEEdouble, "+0.e+1").convertToDouble());
148 EXPECT_EQ(-0.0, APFloat(APFloat::IEEEdouble, "-0.e+1").convertToDouble());
149
150 EXPECT_EQ( 0.0, APFloat(APFloat::IEEEdouble, "0.e-1").convertToDouble());
151 EXPECT_EQ(+0.0, APFloat(APFloat::IEEEdouble, "+0.e-1").convertToDouble());
152 EXPECT_EQ(-0.0, APFloat(APFloat::IEEEdouble, "-0.e-1").convertToDouble());
153
154 EXPECT_EQ( 0.0, APFloat(APFloat::IEEEdouble, ".0e1").convertToDouble());
155 EXPECT_EQ(+0.0, APFloat(APFloat::IEEEdouble, "+.0e1").convertToDouble());
156 EXPECT_EQ(-0.0, APFloat(APFloat::IEEEdouble, "-.0e1").convertToDouble());
157
158 EXPECT_EQ( 0.0, APFloat(APFloat::IEEEdouble, ".0e+1").convertToDouble());
159 EXPECT_EQ(+0.0, APFloat(APFloat::IEEEdouble, "+.0e+1").convertToDouble());
160 EXPECT_EQ(-0.0, APFloat(APFloat::IEEEdouble, "-.0e+1").convertToDouble());
161
162 EXPECT_EQ( 0.0, APFloat(APFloat::IEEEdouble, ".0e-1").convertToDouble());
163 EXPECT_EQ(+0.0, APFloat(APFloat::IEEEdouble, "+.0e-1").convertToDouble());
164 EXPECT_EQ(-0.0, APFloat(APFloat::IEEEdouble, "-.0e-1").convertToDouble());
165
166
167 EXPECT_EQ( 0.0, APFloat(APFloat::IEEEdouble, "0.0e1").convertToDouble());
168 EXPECT_EQ(+0.0, APFloat(APFloat::IEEEdouble, "+0.0e1").convertToDouble());
169 EXPECT_EQ(-0.0, APFloat(APFloat::IEEEdouble, "-0.0e1").convertToDouble());
170
171 EXPECT_EQ( 0.0, APFloat(APFloat::IEEEdouble, "0.0e+1").convertToDouble());
172 EXPECT_EQ(+0.0, APFloat(APFloat::IEEEdouble, "+0.0e+1").convertToDouble());
173 EXPECT_EQ(-0.0, APFloat(APFloat::IEEEdouble, "-0.0e+1").convertToDouble());
174
175 EXPECT_EQ( 0.0, APFloat(APFloat::IEEEdouble, "0.0e-1").convertToDouble());
176 EXPECT_EQ(+0.0, APFloat(APFloat::IEEEdouble, "+0.0e-1").convertToDouble());
177 EXPECT_EQ(-0.0, APFloat(APFloat::IEEEdouble, "-0.0e-1").convertToDouble());
178
179
180 EXPECT_EQ( 0.0, APFloat(APFloat::IEEEdouble, "000.0000e1").convertToDouble());
181 EXPECT_EQ(+0.0, APFloat(APFloat::IEEEdouble, "+000.0000e+1").convertToDouble());
182 EXPECT_EQ(-0.0, APFloat(APFloat::IEEEdouble, "-000.0000e+1").convertToDouble());
183 }
184
TEST(APFloatTest,fromZeroDecimalLargeExponentString)185 TEST(APFloatTest, fromZeroDecimalLargeExponentString) {
186 EXPECT_EQ( 0.0, APFloat(APFloat::IEEEdouble, "0e1234").convertToDouble());
187 EXPECT_EQ(+0.0, APFloat(APFloat::IEEEdouble, "+0e1234").convertToDouble());
188 EXPECT_EQ(-0.0, APFloat(APFloat::IEEEdouble, "-0e1234").convertToDouble());
189
190 EXPECT_EQ( 0.0, APFloat(APFloat::IEEEdouble, "0e+1234").convertToDouble());
191 EXPECT_EQ(+0.0, APFloat(APFloat::IEEEdouble, "+0e+1234").convertToDouble());
192 EXPECT_EQ(-0.0, APFloat(APFloat::IEEEdouble, "-0e+1234").convertToDouble());
193
194 EXPECT_EQ( 0.0, APFloat(APFloat::IEEEdouble, "0e-1234").convertToDouble());
195 EXPECT_EQ(+0.0, APFloat(APFloat::IEEEdouble, "+0e-1234").convertToDouble());
196 EXPECT_EQ(-0.0, APFloat(APFloat::IEEEdouble, "-0e-1234").convertToDouble());
197
198 EXPECT_EQ(0.0, APFloat(APFloat::IEEEdouble, "000.0000e1234").convertToDouble());
199 EXPECT_EQ(0.0, APFloat(APFloat::IEEEdouble, "000.0000e-1234").convertToDouble());
200
201 EXPECT_EQ(0.0, APFloat(APFloat::IEEEdouble, StringRef("0e1234\02", 6)).convertToDouble());
202 }
203
TEST(APFloatTest,fromZeroHexadecimalString)204 TEST(APFloatTest, fromZeroHexadecimalString) {
205 EXPECT_EQ( 0.0, APFloat(APFloat::IEEEdouble, "0x0p1").convertToDouble());
206 EXPECT_EQ(+0.0, APFloat(APFloat::IEEEdouble, "+0x0p1").convertToDouble());
207 EXPECT_EQ(-0.0, APFloat(APFloat::IEEEdouble, "-0x0p1").convertToDouble());
208
209 EXPECT_EQ( 0.0, APFloat(APFloat::IEEEdouble, "0x0p+1").convertToDouble());
210 EXPECT_EQ(+0.0, APFloat(APFloat::IEEEdouble, "+0x0p+1").convertToDouble());
211 EXPECT_EQ(-0.0, APFloat(APFloat::IEEEdouble, "-0x0p+1").convertToDouble());
212
213 EXPECT_EQ( 0.0, APFloat(APFloat::IEEEdouble, "0x0p-1").convertToDouble());
214 EXPECT_EQ(+0.0, APFloat(APFloat::IEEEdouble, "+0x0p-1").convertToDouble());
215 EXPECT_EQ(-0.0, APFloat(APFloat::IEEEdouble, "-0x0p-1").convertToDouble());
216
217
218 EXPECT_EQ( 0.0, APFloat(APFloat::IEEEdouble, "0x0.p1").convertToDouble());
219 EXPECT_EQ(+0.0, APFloat(APFloat::IEEEdouble, "+0x0.p1").convertToDouble());
220 EXPECT_EQ(-0.0, APFloat(APFloat::IEEEdouble, "-0x0.p1").convertToDouble());
221
222 EXPECT_EQ( 0.0, APFloat(APFloat::IEEEdouble, "0x0.p+1").convertToDouble());
223 EXPECT_EQ(+0.0, APFloat(APFloat::IEEEdouble, "+0x0.p+1").convertToDouble());
224 EXPECT_EQ(-0.0, APFloat(APFloat::IEEEdouble, "-0x0.p+1").convertToDouble());
225
226 EXPECT_EQ( 0.0, APFloat(APFloat::IEEEdouble, "0x0.p-1").convertToDouble());
227 EXPECT_EQ(+0.0, APFloat(APFloat::IEEEdouble, "+0x0.p-1").convertToDouble());
228 EXPECT_EQ(-0.0, APFloat(APFloat::IEEEdouble, "-0x0.p-1").convertToDouble());
229
230
231 EXPECT_EQ( 0.0, APFloat(APFloat::IEEEdouble, "0x.0p1").convertToDouble());
232 EXPECT_EQ(+0.0, APFloat(APFloat::IEEEdouble, "+0x.0p1").convertToDouble());
233 EXPECT_EQ(-0.0, APFloat(APFloat::IEEEdouble, "-0x.0p1").convertToDouble());
234
235 EXPECT_EQ( 0.0, APFloat(APFloat::IEEEdouble, "0x.0p+1").convertToDouble());
236 EXPECT_EQ(+0.0, APFloat(APFloat::IEEEdouble, "+0x.0p+1").convertToDouble());
237 EXPECT_EQ(-0.0, APFloat(APFloat::IEEEdouble, "-0x.0p+1").convertToDouble());
238
239 EXPECT_EQ( 0.0, APFloat(APFloat::IEEEdouble, "0x.0p-1").convertToDouble());
240 EXPECT_EQ(+0.0, APFloat(APFloat::IEEEdouble, "+0x.0p-1").convertToDouble());
241 EXPECT_EQ(-0.0, APFloat(APFloat::IEEEdouble, "-0x.0p-1").convertToDouble());
242
243
244 EXPECT_EQ( 0.0, APFloat(APFloat::IEEEdouble, "0x0.0p1").convertToDouble());
245 EXPECT_EQ(+0.0, APFloat(APFloat::IEEEdouble, "+0x0.0p1").convertToDouble());
246 EXPECT_EQ(-0.0, APFloat(APFloat::IEEEdouble, "-0x0.0p1").convertToDouble());
247
248 EXPECT_EQ( 0.0, APFloat(APFloat::IEEEdouble, "0x0.0p+1").convertToDouble());
249 EXPECT_EQ(+0.0, APFloat(APFloat::IEEEdouble, "+0x0.0p+1").convertToDouble());
250 EXPECT_EQ(-0.0, APFloat(APFloat::IEEEdouble, "-0x0.0p+1").convertToDouble());
251
252 EXPECT_EQ( 0.0, APFloat(APFloat::IEEEdouble, "0x0.0p-1").convertToDouble());
253 EXPECT_EQ(+0.0, APFloat(APFloat::IEEEdouble, "+0x0.0p-1").convertToDouble());
254 EXPECT_EQ(-0.0, APFloat(APFloat::IEEEdouble, "-0x0.0p-1").convertToDouble());
255
256
257 EXPECT_EQ( 0.0, APFloat(APFloat::IEEEdouble, "0x00000.p1").convertToDouble());
258 EXPECT_EQ( 0.0, APFloat(APFloat::IEEEdouble, "0x0000.00000p1").convertToDouble());
259 EXPECT_EQ( 0.0, APFloat(APFloat::IEEEdouble, "0x.00000p1").convertToDouble());
260 EXPECT_EQ( 0.0, APFloat(APFloat::IEEEdouble, "0x0.p1").convertToDouble());
261 EXPECT_EQ( 0.0, APFloat(APFloat::IEEEdouble, "0x0p1234").convertToDouble());
262 EXPECT_EQ(-0.0, APFloat(APFloat::IEEEdouble, "-0x0p1234").convertToDouble());
263 EXPECT_EQ( 0.0, APFloat(APFloat::IEEEdouble, "0x00000.p1234").convertToDouble());
264 EXPECT_EQ( 0.0, APFloat(APFloat::IEEEdouble, "0x0000.00000p1234").convertToDouble());
265 EXPECT_EQ( 0.0, APFloat(APFloat::IEEEdouble, "0x.00000p1234").convertToDouble());
266 EXPECT_EQ( 0.0, APFloat(APFloat::IEEEdouble, "0x0.p1234").convertToDouble());
267 }
268
TEST(APFloatTest,fromDecimalString)269 TEST(APFloatTest, fromDecimalString) {
270 EXPECT_EQ(1.0, APFloat(APFloat::IEEEdouble, "1").convertToDouble());
271 EXPECT_EQ(2.0, APFloat(APFloat::IEEEdouble, "2.").convertToDouble());
272 EXPECT_EQ(0.5, APFloat(APFloat::IEEEdouble, ".5").convertToDouble());
273 EXPECT_EQ(1.0, APFloat(APFloat::IEEEdouble, "1.0").convertToDouble());
274 EXPECT_EQ(-2.0, APFloat(APFloat::IEEEdouble, "-2").convertToDouble());
275 EXPECT_EQ(-4.0, APFloat(APFloat::IEEEdouble, "-4.").convertToDouble());
276 EXPECT_EQ(-0.5, APFloat(APFloat::IEEEdouble, "-.5").convertToDouble());
277 EXPECT_EQ(-1.5, APFloat(APFloat::IEEEdouble, "-1.5").convertToDouble());
278 EXPECT_EQ(1.25e12, APFloat(APFloat::IEEEdouble, "1.25e12").convertToDouble());
279 EXPECT_EQ(1.25e+12, APFloat(APFloat::IEEEdouble, "1.25e+12").convertToDouble());
280 EXPECT_EQ(1.25e-12, APFloat(APFloat::IEEEdouble, "1.25e-12").convertToDouble());
281 EXPECT_EQ(1024.0, APFloat(APFloat::IEEEdouble, "1024.").convertToDouble());
282 EXPECT_EQ(1024.05, APFloat(APFloat::IEEEdouble, "1024.05000").convertToDouble());
283 EXPECT_EQ(0.05, APFloat(APFloat::IEEEdouble, ".05000").convertToDouble());
284 EXPECT_EQ(2.0, APFloat(APFloat::IEEEdouble, "2.").convertToDouble());
285 EXPECT_EQ(2.0e2, APFloat(APFloat::IEEEdouble, "2.e2").convertToDouble());
286 EXPECT_EQ(2.0e+2, APFloat(APFloat::IEEEdouble, "2.e+2").convertToDouble());
287 EXPECT_EQ(2.0e-2, APFloat(APFloat::IEEEdouble, "2.e-2").convertToDouble());
288 EXPECT_EQ(2.05e2, APFloat(APFloat::IEEEdouble, "002.05000e2").convertToDouble());
289 EXPECT_EQ(2.05e+2, APFloat(APFloat::IEEEdouble, "002.05000e+2").convertToDouble());
290 EXPECT_EQ(2.05e-2, APFloat(APFloat::IEEEdouble, "002.05000e-2").convertToDouble());
291 EXPECT_EQ(2.05e12, APFloat(APFloat::IEEEdouble, "002.05000e12").convertToDouble());
292 EXPECT_EQ(2.05e+12, APFloat(APFloat::IEEEdouble, "002.05000e+12").convertToDouble());
293 EXPECT_EQ(2.05e-12, APFloat(APFloat::IEEEdouble, "002.05000e-12").convertToDouble());
294
295 // These are "carefully selected" to overflow the fast log-base
296 // calculations in APFloat.cpp
297 EXPECT_TRUE(APFloat(APFloat::IEEEdouble, "99e99999").isInfinity());
298 EXPECT_TRUE(APFloat(APFloat::IEEEdouble, "-99e99999").isInfinity());
299 EXPECT_TRUE(APFloat(APFloat::IEEEdouble, "1e-99999").isPosZero());
300 EXPECT_TRUE(APFloat(APFloat::IEEEdouble, "-1e-99999").isNegZero());
301 }
302
TEST(APFloatTest,fromHexadecimalString)303 TEST(APFloatTest, fromHexadecimalString) {
304 EXPECT_EQ( 1.0, APFloat(APFloat::IEEEdouble, "0x1p0").convertToDouble());
305 EXPECT_EQ(+1.0, APFloat(APFloat::IEEEdouble, "+0x1p0").convertToDouble());
306 EXPECT_EQ(-1.0, APFloat(APFloat::IEEEdouble, "-0x1p0").convertToDouble());
307
308 EXPECT_EQ( 1.0, APFloat(APFloat::IEEEdouble, "0x1p+0").convertToDouble());
309 EXPECT_EQ(+1.0, APFloat(APFloat::IEEEdouble, "+0x1p+0").convertToDouble());
310 EXPECT_EQ(-1.0, APFloat(APFloat::IEEEdouble, "-0x1p+0").convertToDouble());
311
312 EXPECT_EQ( 1.0, APFloat(APFloat::IEEEdouble, "0x1p-0").convertToDouble());
313 EXPECT_EQ(+1.0, APFloat(APFloat::IEEEdouble, "+0x1p-0").convertToDouble());
314 EXPECT_EQ(-1.0, APFloat(APFloat::IEEEdouble, "-0x1p-0").convertToDouble());
315
316
317 EXPECT_EQ( 2.0, APFloat(APFloat::IEEEdouble, "0x1p1").convertToDouble());
318 EXPECT_EQ(+2.0, APFloat(APFloat::IEEEdouble, "+0x1p1").convertToDouble());
319 EXPECT_EQ(-2.0, APFloat(APFloat::IEEEdouble, "-0x1p1").convertToDouble());
320
321 EXPECT_EQ( 2.0, APFloat(APFloat::IEEEdouble, "0x1p+1").convertToDouble());
322 EXPECT_EQ(+2.0, APFloat(APFloat::IEEEdouble, "+0x1p+1").convertToDouble());
323 EXPECT_EQ(-2.0, APFloat(APFloat::IEEEdouble, "-0x1p+1").convertToDouble());
324
325 EXPECT_EQ( 0.5, APFloat(APFloat::IEEEdouble, "0x1p-1").convertToDouble());
326 EXPECT_EQ(+0.5, APFloat(APFloat::IEEEdouble, "+0x1p-1").convertToDouble());
327 EXPECT_EQ(-0.5, APFloat(APFloat::IEEEdouble, "-0x1p-1").convertToDouble());
328
329
330 EXPECT_EQ( 3.0, APFloat(APFloat::IEEEdouble, "0x1.8p1").convertToDouble());
331 EXPECT_EQ(+3.0, APFloat(APFloat::IEEEdouble, "+0x1.8p1").convertToDouble());
332 EXPECT_EQ(-3.0, APFloat(APFloat::IEEEdouble, "-0x1.8p1").convertToDouble());
333
334 EXPECT_EQ( 3.0, APFloat(APFloat::IEEEdouble, "0x1.8p+1").convertToDouble());
335 EXPECT_EQ(+3.0, APFloat(APFloat::IEEEdouble, "+0x1.8p+1").convertToDouble());
336 EXPECT_EQ(-3.0, APFloat(APFloat::IEEEdouble, "-0x1.8p+1").convertToDouble());
337
338 EXPECT_EQ( 0.75, APFloat(APFloat::IEEEdouble, "0x1.8p-1").convertToDouble());
339 EXPECT_EQ(+0.75, APFloat(APFloat::IEEEdouble, "+0x1.8p-1").convertToDouble());
340 EXPECT_EQ(-0.75, APFloat(APFloat::IEEEdouble, "-0x1.8p-1").convertToDouble());
341
342
343 EXPECT_EQ( 8192.0, APFloat(APFloat::IEEEdouble, "0x1000.000p1").convertToDouble());
344 EXPECT_EQ(+8192.0, APFloat(APFloat::IEEEdouble, "+0x1000.000p1").convertToDouble());
345 EXPECT_EQ(-8192.0, APFloat(APFloat::IEEEdouble, "-0x1000.000p1").convertToDouble());
346
347 EXPECT_EQ( 8192.0, APFloat(APFloat::IEEEdouble, "0x1000.000p+1").convertToDouble());
348 EXPECT_EQ(+8192.0, APFloat(APFloat::IEEEdouble, "+0x1000.000p+1").convertToDouble());
349 EXPECT_EQ(-8192.0, APFloat(APFloat::IEEEdouble, "-0x1000.000p+1").convertToDouble());
350
351 EXPECT_EQ( 2048.0, APFloat(APFloat::IEEEdouble, "0x1000.000p-1").convertToDouble());
352 EXPECT_EQ(+2048.0, APFloat(APFloat::IEEEdouble, "+0x1000.000p-1").convertToDouble());
353 EXPECT_EQ(-2048.0, APFloat(APFloat::IEEEdouble, "-0x1000.000p-1").convertToDouble());
354
355
356 EXPECT_EQ( 8192.0, APFloat(APFloat::IEEEdouble, "0x1000p1").convertToDouble());
357 EXPECT_EQ(+8192.0, APFloat(APFloat::IEEEdouble, "+0x1000p1").convertToDouble());
358 EXPECT_EQ(-8192.0, APFloat(APFloat::IEEEdouble, "-0x1000p1").convertToDouble());
359
360 EXPECT_EQ( 8192.0, APFloat(APFloat::IEEEdouble, "0x1000p+1").convertToDouble());
361 EXPECT_EQ(+8192.0, APFloat(APFloat::IEEEdouble, "+0x1000p+1").convertToDouble());
362 EXPECT_EQ(-8192.0, APFloat(APFloat::IEEEdouble, "-0x1000p+1").convertToDouble());
363
364 EXPECT_EQ( 2048.0, APFloat(APFloat::IEEEdouble, "0x1000p-1").convertToDouble());
365 EXPECT_EQ(+2048.0, APFloat(APFloat::IEEEdouble, "+0x1000p-1").convertToDouble());
366 EXPECT_EQ(-2048.0, APFloat(APFloat::IEEEdouble, "-0x1000p-1").convertToDouble());
367
368
369 EXPECT_EQ( 16384.0, APFloat(APFloat::IEEEdouble, "0x10p10").convertToDouble());
370 EXPECT_EQ(+16384.0, APFloat(APFloat::IEEEdouble, "+0x10p10").convertToDouble());
371 EXPECT_EQ(-16384.0, APFloat(APFloat::IEEEdouble, "-0x10p10").convertToDouble());
372
373 EXPECT_EQ( 16384.0, APFloat(APFloat::IEEEdouble, "0x10p+10").convertToDouble());
374 EXPECT_EQ(+16384.0, APFloat(APFloat::IEEEdouble, "+0x10p+10").convertToDouble());
375 EXPECT_EQ(-16384.0, APFloat(APFloat::IEEEdouble, "-0x10p+10").convertToDouble());
376
377 EXPECT_EQ( 0.015625, APFloat(APFloat::IEEEdouble, "0x10p-10").convertToDouble());
378 EXPECT_EQ(+0.015625, APFloat(APFloat::IEEEdouble, "+0x10p-10").convertToDouble());
379 EXPECT_EQ(-0.015625, APFloat(APFloat::IEEEdouble, "-0x10p-10").convertToDouble());
380
381 EXPECT_EQ(1.0625, APFloat(APFloat::IEEEdouble, "0x1.1p0").convertToDouble());
382 EXPECT_EQ(1.0, APFloat(APFloat::IEEEdouble, "0x1p0").convertToDouble());
383
384 EXPECT_EQ(2.71828, convertToDoubleFromString("2.71828"));
385 }
386
TEST(APFloatTest,toString)387 TEST(APFloatTest, toString) {
388 ASSERT_EQ("10", convertToString(10.0, 6, 3));
389 ASSERT_EQ("1.0E+1", convertToString(10.0, 6, 0));
390 ASSERT_EQ("10100", convertToString(1.01E+4, 5, 2));
391 ASSERT_EQ("1.01E+4", convertToString(1.01E+4, 4, 2));
392 ASSERT_EQ("1.01E+4", convertToString(1.01E+4, 5, 1));
393 ASSERT_EQ("0.0101", convertToString(1.01E-2, 5, 2));
394 ASSERT_EQ("0.0101", convertToString(1.01E-2, 4, 2));
395 ASSERT_EQ("1.01E-2", convertToString(1.01E-2, 5, 1));
396 ASSERT_EQ("0.7853981633974483", convertToString(0.78539816339744830961, 0, 3));
397 ASSERT_EQ("4.940656458412465E-324", convertToString(4.9406564584124654e-324, 0, 3));
398 ASSERT_EQ("873.1834", convertToString(873.1834, 0, 1));
399 ASSERT_EQ("8.731834E+2", convertToString(873.1834, 0, 0));
400 }
401
TEST(APFloatTest,toInteger)402 TEST(APFloatTest, toInteger) {
403 bool isExact = false;
404 APSInt result(5, /*isUnsigned=*/true);
405
406 EXPECT_EQ(APFloat::opOK,
407 APFloat(APFloat::IEEEdouble, "10")
408 .convertToInteger(result, APFloat::rmTowardZero, &isExact));
409 EXPECT_TRUE(isExact);
410 EXPECT_EQ(APSInt(APInt(5, 10), true), result);
411
412 EXPECT_EQ(APFloat::opInvalidOp,
413 APFloat(APFloat::IEEEdouble, "-10")
414 .convertToInteger(result, APFloat::rmTowardZero, &isExact));
415 EXPECT_FALSE(isExact);
416 EXPECT_EQ(APSInt::getMinValue(5, true), result);
417
418 EXPECT_EQ(APFloat::opInvalidOp,
419 APFloat(APFloat::IEEEdouble, "32")
420 .convertToInteger(result, APFloat::rmTowardZero, &isExact));
421 EXPECT_FALSE(isExact);
422 EXPECT_EQ(APSInt::getMaxValue(5, true), result);
423
424 EXPECT_EQ(APFloat::opInexact,
425 APFloat(APFloat::IEEEdouble, "7.9")
426 .convertToInteger(result, APFloat::rmTowardZero, &isExact));
427 EXPECT_FALSE(isExact);
428 EXPECT_EQ(APSInt(APInt(5, 7), true), result);
429
430 result.setIsUnsigned(false);
431 EXPECT_EQ(APFloat::opOK,
432 APFloat(APFloat::IEEEdouble, "-10")
433 .convertToInteger(result, APFloat::rmTowardZero, &isExact));
434 EXPECT_TRUE(isExact);
435 EXPECT_EQ(APSInt(APInt(5, -10, true), false), result);
436
437 EXPECT_EQ(APFloat::opInvalidOp,
438 APFloat(APFloat::IEEEdouble, "-17")
439 .convertToInteger(result, APFloat::rmTowardZero, &isExact));
440 EXPECT_FALSE(isExact);
441 EXPECT_EQ(APSInt::getMinValue(5, false), result);
442
443 EXPECT_EQ(APFloat::opInvalidOp,
444 APFloat(APFloat::IEEEdouble, "16")
445 .convertToInteger(result, APFloat::rmTowardZero, &isExact));
446 EXPECT_FALSE(isExact);
447 EXPECT_EQ(APSInt::getMaxValue(5, false), result);
448 }
449
nanbits(const fltSemantics & Sem,bool SNaN,bool Negative,uint64_t fill)450 static APInt nanbits(const fltSemantics &Sem,
451 bool SNaN, bool Negative, uint64_t fill) {
452 APInt apfill(64, fill);
453 if (SNaN)
454 return APFloat::getSNaN(Sem, Negative, &apfill).bitcastToAPInt();
455 else
456 return APFloat::getQNaN(Sem, Negative, &apfill).bitcastToAPInt();
457 }
458
TEST(APFloatTest,makeNaN)459 TEST(APFloatTest, makeNaN) {
460 ASSERT_EQ(0x7fc00000, nanbits(APFloat::IEEEsingle, false, false, 0));
461 ASSERT_EQ(0xffc00000, nanbits(APFloat::IEEEsingle, false, true, 0));
462 ASSERT_EQ(0x7fc0ae72, nanbits(APFloat::IEEEsingle, false, false, 0xae72));
463 ASSERT_EQ(0x7fffae72, nanbits(APFloat::IEEEsingle, false, false, 0xffffae72));
464 ASSERT_EQ(0x7fa00000, nanbits(APFloat::IEEEsingle, true, false, 0));
465 ASSERT_EQ(0xffa00000, nanbits(APFloat::IEEEsingle, true, true, 0));
466 ASSERT_EQ(0x7f80ae72, nanbits(APFloat::IEEEsingle, true, false, 0xae72));
467 ASSERT_EQ(0x7fbfae72, nanbits(APFloat::IEEEsingle, true, false, 0xffffae72));
468
469 ASSERT_EQ(0x7ff8000000000000ULL, nanbits(APFloat::IEEEdouble, false, false, 0));
470 ASSERT_EQ(0xfff8000000000000ULL, nanbits(APFloat::IEEEdouble, false, true, 0));
471 ASSERT_EQ(0x7ff800000000ae72ULL, nanbits(APFloat::IEEEdouble, false, false, 0xae72));
472 ASSERT_EQ(0x7fffffffffffae72ULL, nanbits(APFloat::IEEEdouble, false, false, 0xffffffffffffae72ULL));
473 ASSERT_EQ(0x7ff4000000000000ULL, nanbits(APFloat::IEEEdouble, true, false, 0));
474 ASSERT_EQ(0xfff4000000000000ULL, nanbits(APFloat::IEEEdouble, true, true, 0));
475 ASSERT_EQ(0x7ff000000000ae72ULL, nanbits(APFloat::IEEEdouble, true, false, 0xae72));
476 ASSERT_EQ(0x7ff7ffffffffae72ULL, nanbits(APFloat::IEEEdouble, true, false, 0xffffffffffffae72ULL));
477 }
478
479 #ifdef GTEST_HAS_DEATH_TEST
480 #ifndef NDEBUG
TEST(APFloatTest,SemanticsDeath)481 TEST(APFloatTest, SemanticsDeath) {
482 EXPECT_DEATH(APFloat(APFloat::IEEEsingle, 0.0f).convertToDouble(), "Float semantics are not IEEEdouble");
483 EXPECT_DEATH(APFloat(APFloat::IEEEdouble, 0.0 ).convertToFloat(), "Float semantics are not IEEEsingle");
484 }
485
TEST(APFloatTest,StringDecimalDeath)486 TEST(APFloatTest, StringDecimalDeath) {
487 EXPECT_DEATH(APFloat(APFloat::IEEEdouble, ""), "Invalid string length");
488 EXPECT_DEATH(APFloat(APFloat::IEEEdouble, "+"), "String has no digits");
489 EXPECT_DEATH(APFloat(APFloat::IEEEdouble, "-"), "String has no digits");
490
491 EXPECT_DEATH(APFloat(APFloat::IEEEdouble, StringRef("\0", 1)), "Invalid character in significand");
492 EXPECT_DEATH(APFloat(APFloat::IEEEdouble, StringRef("1\0", 2)), "Invalid character in significand");
493 EXPECT_DEATH(APFloat(APFloat::IEEEdouble, StringRef("1\02", 3)), "Invalid character in significand");
494 EXPECT_DEATH(APFloat(APFloat::IEEEdouble, StringRef("1\02e1", 5)), "Invalid character in significand");
495 EXPECT_DEATH(APFloat(APFloat::IEEEdouble, StringRef("1e\0", 3)), "Invalid character in exponent");
496 EXPECT_DEATH(APFloat(APFloat::IEEEdouble, StringRef("1e1\0", 4)), "Invalid character in exponent");
497 EXPECT_DEATH(APFloat(APFloat::IEEEdouble, StringRef("1e1\02", 5)), "Invalid character in exponent");
498
499 EXPECT_DEATH(APFloat(APFloat::IEEEdouble, "1.0f"), "Invalid character in significand");
500
501 EXPECT_DEATH(APFloat(APFloat::IEEEdouble, ".."), "String contains multiple dots");
502 EXPECT_DEATH(APFloat(APFloat::IEEEdouble, "..0"), "String contains multiple dots");
503 EXPECT_DEATH(APFloat(APFloat::IEEEdouble, "1.0.0"), "String contains multiple dots");
504 }
505
TEST(APFloatTest,StringDecimalSignificandDeath)506 TEST(APFloatTest, StringDecimalSignificandDeath) {
507 EXPECT_DEATH(APFloat(APFloat::IEEEdouble, "."), "Significand has no digits");
508 EXPECT_DEATH(APFloat(APFloat::IEEEdouble, "+."), "Significand has no digits");
509 EXPECT_DEATH(APFloat(APFloat::IEEEdouble, "-."), "Significand has no digits");
510
511
512 EXPECT_DEATH(APFloat(APFloat::IEEEdouble, "e"), "Significand has no digits");
513 EXPECT_DEATH(APFloat(APFloat::IEEEdouble, "+e"), "Significand has no digits");
514 EXPECT_DEATH(APFloat(APFloat::IEEEdouble, "-e"), "Significand has no digits");
515
516 EXPECT_DEATH(APFloat(APFloat::IEEEdouble, "e1"), "Significand has no digits");
517 EXPECT_DEATH(APFloat(APFloat::IEEEdouble, "+e1"), "Significand has no digits");
518 EXPECT_DEATH(APFloat(APFloat::IEEEdouble, "-e1"), "Significand has no digits");
519
520 EXPECT_DEATH(APFloat(APFloat::IEEEdouble, ".e1"), "Significand has no digits");
521 EXPECT_DEATH(APFloat(APFloat::IEEEdouble, "+.e1"), "Significand has no digits");
522 EXPECT_DEATH(APFloat(APFloat::IEEEdouble, "-.e1"), "Significand has no digits");
523
524
525 EXPECT_DEATH(APFloat(APFloat::IEEEdouble, ".e"), "Significand has no digits");
526 EXPECT_DEATH(APFloat(APFloat::IEEEdouble, "+.e"), "Significand has no digits");
527 EXPECT_DEATH(APFloat(APFloat::IEEEdouble, "-.e"), "Significand has no digits");
528 }
529
TEST(APFloatTest,StringDecimalExponentDeath)530 TEST(APFloatTest, StringDecimalExponentDeath) {
531 EXPECT_DEATH(APFloat(APFloat::IEEEdouble, "1e"), "Exponent has no digits");
532 EXPECT_DEATH(APFloat(APFloat::IEEEdouble, "+1e"), "Exponent has no digits");
533 EXPECT_DEATH(APFloat(APFloat::IEEEdouble, "-1e"), "Exponent has no digits");
534
535 EXPECT_DEATH(APFloat(APFloat::IEEEdouble, "1.e"), "Exponent has no digits");
536 EXPECT_DEATH(APFloat(APFloat::IEEEdouble, "+1.e"), "Exponent has no digits");
537 EXPECT_DEATH(APFloat(APFloat::IEEEdouble, "-1.e"), "Exponent has no digits");
538
539 EXPECT_DEATH(APFloat(APFloat::IEEEdouble, ".1e"), "Exponent has no digits");
540 EXPECT_DEATH(APFloat(APFloat::IEEEdouble, "+.1e"), "Exponent has no digits");
541 EXPECT_DEATH(APFloat(APFloat::IEEEdouble, "-.1e"), "Exponent has no digits");
542
543 EXPECT_DEATH(APFloat(APFloat::IEEEdouble, "1.1e"), "Exponent has no digits");
544 EXPECT_DEATH(APFloat(APFloat::IEEEdouble, "+1.1e"), "Exponent has no digits");
545 EXPECT_DEATH(APFloat(APFloat::IEEEdouble, "-1.1e"), "Exponent has no digits");
546
547
548 EXPECT_DEATH(APFloat(APFloat::IEEEdouble, "1e+"), "Exponent has no digits");
549 EXPECT_DEATH(APFloat(APFloat::IEEEdouble, "1e-"), "Exponent has no digits");
550
551 EXPECT_DEATH(APFloat(APFloat::IEEEdouble, ".1e"), "Exponent has no digits");
552 EXPECT_DEATH(APFloat(APFloat::IEEEdouble, ".1e+"), "Exponent has no digits");
553 EXPECT_DEATH(APFloat(APFloat::IEEEdouble, ".1e-"), "Exponent has no digits");
554
555 EXPECT_DEATH(APFloat(APFloat::IEEEdouble, "1.0e"), "Exponent has no digits");
556 EXPECT_DEATH(APFloat(APFloat::IEEEdouble, "1.0e+"), "Exponent has no digits");
557 EXPECT_DEATH(APFloat(APFloat::IEEEdouble, "1.0e-"), "Exponent has no digits");
558 }
559
TEST(APFloatTest,StringHexadecimalDeath)560 TEST(APFloatTest, StringHexadecimalDeath) {
561 EXPECT_DEATH(APFloat(APFloat::IEEEdouble, "0x"), "Invalid string");
562 EXPECT_DEATH(APFloat(APFloat::IEEEdouble, "+0x"), "Invalid string");
563 EXPECT_DEATH(APFloat(APFloat::IEEEdouble, "-0x"), "Invalid string");
564
565 EXPECT_DEATH(APFloat(APFloat::IEEEdouble, "0x0"), "Hex strings require an exponent");
566 EXPECT_DEATH(APFloat(APFloat::IEEEdouble, "+0x0"), "Hex strings require an exponent");
567 EXPECT_DEATH(APFloat(APFloat::IEEEdouble, "-0x0"), "Hex strings require an exponent");
568
569 EXPECT_DEATH(APFloat(APFloat::IEEEdouble, "0x0."), "Hex strings require an exponent");
570 EXPECT_DEATH(APFloat(APFloat::IEEEdouble, "+0x0."), "Hex strings require an exponent");
571 EXPECT_DEATH(APFloat(APFloat::IEEEdouble, "-0x0."), "Hex strings require an exponent");
572
573 EXPECT_DEATH(APFloat(APFloat::IEEEdouble, "0x.0"), "Hex strings require an exponent");
574 EXPECT_DEATH(APFloat(APFloat::IEEEdouble, "+0x.0"), "Hex strings require an exponent");
575 EXPECT_DEATH(APFloat(APFloat::IEEEdouble, "-0x.0"), "Hex strings require an exponent");
576
577 EXPECT_DEATH(APFloat(APFloat::IEEEdouble, "0x0.0"), "Hex strings require an exponent");
578 EXPECT_DEATH(APFloat(APFloat::IEEEdouble, "+0x0.0"), "Hex strings require an exponent");
579 EXPECT_DEATH(APFloat(APFloat::IEEEdouble, "-0x0.0"), "Hex strings require an exponent");
580
581 EXPECT_DEATH(APFloat(APFloat::IEEEdouble, StringRef("0x\0", 3)), "Invalid character in significand");
582 EXPECT_DEATH(APFloat(APFloat::IEEEdouble, StringRef("0x1\0", 4)), "Invalid character in significand");
583 EXPECT_DEATH(APFloat(APFloat::IEEEdouble, StringRef("0x1\02", 5)), "Invalid character in significand");
584 EXPECT_DEATH(APFloat(APFloat::IEEEdouble, StringRef("0x1\02p1", 7)), "Invalid character in significand");
585 EXPECT_DEATH(APFloat(APFloat::IEEEdouble, StringRef("0x1p\0", 5)), "Invalid character in exponent");
586 EXPECT_DEATH(APFloat(APFloat::IEEEdouble, StringRef("0x1p1\0", 6)), "Invalid character in exponent");
587 EXPECT_DEATH(APFloat(APFloat::IEEEdouble, StringRef("0x1p1\02", 7)), "Invalid character in exponent");
588
589 EXPECT_DEATH(APFloat(APFloat::IEEEdouble, "0x1p0f"), "Invalid character in exponent");
590
591 EXPECT_DEATH(APFloat(APFloat::IEEEdouble, "0x..p1"), "String contains multiple dots");
592 EXPECT_DEATH(APFloat(APFloat::IEEEdouble, "0x..0p1"), "String contains multiple dots");
593 EXPECT_DEATH(APFloat(APFloat::IEEEdouble, "0x1.0.0p1"), "String contains multiple dots");
594 }
595
TEST(APFloatTest,StringHexadecimalSignificandDeath)596 TEST(APFloatTest, StringHexadecimalSignificandDeath) {
597 EXPECT_DEATH(APFloat(APFloat::IEEEdouble, "0x."), "Significand has no digits");
598 EXPECT_DEATH(APFloat(APFloat::IEEEdouble, "+0x."), "Significand has no digits");
599 EXPECT_DEATH(APFloat(APFloat::IEEEdouble, "-0x."), "Significand has no digits");
600
601 EXPECT_DEATH(APFloat(APFloat::IEEEdouble, "0xp"), "Significand has no digits");
602 EXPECT_DEATH(APFloat(APFloat::IEEEdouble, "+0xp"), "Significand has no digits");
603 EXPECT_DEATH(APFloat(APFloat::IEEEdouble, "-0xp"), "Significand has no digits");
604
605 EXPECT_DEATH(APFloat(APFloat::IEEEdouble, "0xp+"), "Significand has no digits");
606 EXPECT_DEATH(APFloat(APFloat::IEEEdouble, "+0xp+"), "Significand has no digits");
607 EXPECT_DEATH(APFloat(APFloat::IEEEdouble, "-0xp+"), "Significand has no digits");
608
609 EXPECT_DEATH(APFloat(APFloat::IEEEdouble, "0xp-"), "Significand has no digits");
610 EXPECT_DEATH(APFloat(APFloat::IEEEdouble, "+0xp-"), "Significand has no digits");
611 EXPECT_DEATH(APFloat(APFloat::IEEEdouble, "-0xp-"), "Significand has no digits");
612
613
614 EXPECT_DEATH(APFloat(APFloat::IEEEdouble, "0x.p"), "Significand has no digits");
615 EXPECT_DEATH(APFloat(APFloat::IEEEdouble, "+0x.p"), "Significand has no digits");
616 EXPECT_DEATH(APFloat(APFloat::IEEEdouble, "-0x.p"), "Significand has no digits");
617
618 EXPECT_DEATH(APFloat(APFloat::IEEEdouble, "0x.p+"), "Significand has no digits");
619 EXPECT_DEATH(APFloat(APFloat::IEEEdouble, "+0x.p+"), "Significand has no digits");
620 EXPECT_DEATH(APFloat(APFloat::IEEEdouble, "-0x.p+"), "Significand has no digits");
621
622 EXPECT_DEATH(APFloat(APFloat::IEEEdouble, "0x.p-"), "Significand has no digits");
623 EXPECT_DEATH(APFloat(APFloat::IEEEdouble, "+0x.p-"), "Significand has no digits");
624 EXPECT_DEATH(APFloat(APFloat::IEEEdouble, "-0x.p-"), "Significand has no digits");
625 }
626
TEST(APFloatTest,StringHexadecimalExponentDeath)627 TEST(APFloatTest, StringHexadecimalExponentDeath) {
628 EXPECT_DEATH(APFloat(APFloat::IEEEdouble, "0x1p"), "Exponent has no digits");
629 EXPECT_DEATH(APFloat(APFloat::IEEEdouble, "+0x1p"), "Exponent has no digits");
630 EXPECT_DEATH(APFloat(APFloat::IEEEdouble, "-0x1p"), "Exponent has no digits");
631
632 EXPECT_DEATH(APFloat(APFloat::IEEEdouble, "0x1p+"), "Exponent has no digits");
633 EXPECT_DEATH(APFloat(APFloat::IEEEdouble, "+0x1p+"), "Exponent has no digits");
634 EXPECT_DEATH(APFloat(APFloat::IEEEdouble, "-0x1p+"), "Exponent has no digits");
635
636 EXPECT_DEATH(APFloat(APFloat::IEEEdouble, "0x1p-"), "Exponent has no digits");
637 EXPECT_DEATH(APFloat(APFloat::IEEEdouble, "+0x1p-"), "Exponent has no digits");
638 EXPECT_DEATH(APFloat(APFloat::IEEEdouble, "-0x1p-"), "Exponent has no digits");
639
640
641 EXPECT_DEATH(APFloat(APFloat::IEEEdouble, "0x1.p"), "Exponent has no digits");
642 EXPECT_DEATH(APFloat(APFloat::IEEEdouble, "+0x1.p"), "Exponent has no digits");
643 EXPECT_DEATH(APFloat(APFloat::IEEEdouble, "-0x1.p"), "Exponent has no digits");
644
645 EXPECT_DEATH(APFloat(APFloat::IEEEdouble, "0x1.p+"), "Exponent has no digits");
646 EXPECT_DEATH(APFloat(APFloat::IEEEdouble, "+0x1.p+"), "Exponent has no digits");
647 EXPECT_DEATH(APFloat(APFloat::IEEEdouble, "-0x1.p+"), "Exponent has no digits");
648
649 EXPECT_DEATH(APFloat(APFloat::IEEEdouble, "0x1.p-"), "Exponent has no digits");
650 EXPECT_DEATH(APFloat(APFloat::IEEEdouble, "+0x1.p-"), "Exponent has no digits");
651 EXPECT_DEATH(APFloat(APFloat::IEEEdouble, "-0x1.p-"), "Exponent has no digits");
652
653
654 EXPECT_DEATH(APFloat(APFloat::IEEEdouble, "0x.1p"), "Exponent has no digits");
655 EXPECT_DEATH(APFloat(APFloat::IEEEdouble, "+0x.1p"), "Exponent has no digits");
656 EXPECT_DEATH(APFloat(APFloat::IEEEdouble, "-0x.1p"), "Exponent has no digits");
657
658 EXPECT_DEATH(APFloat(APFloat::IEEEdouble, "0x.1p+"), "Exponent has no digits");
659 EXPECT_DEATH(APFloat(APFloat::IEEEdouble, "+0x.1p+"), "Exponent has no digits");
660 EXPECT_DEATH(APFloat(APFloat::IEEEdouble, "-0x.1p+"), "Exponent has no digits");
661
662 EXPECT_DEATH(APFloat(APFloat::IEEEdouble, "0x.1p-"), "Exponent has no digits");
663 EXPECT_DEATH(APFloat(APFloat::IEEEdouble, "+0x.1p-"), "Exponent has no digits");
664 EXPECT_DEATH(APFloat(APFloat::IEEEdouble, "-0x.1p-"), "Exponent has no digits");
665
666
667 EXPECT_DEATH(APFloat(APFloat::IEEEdouble, "0x1.1p"), "Exponent has no digits");
668 EXPECT_DEATH(APFloat(APFloat::IEEEdouble, "+0x1.1p"), "Exponent has no digits");
669 EXPECT_DEATH(APFloat(APFloat::IEEEdouble, "-0x1.1p"), "Exponent has no digits");
670
671 EXPECT_DEATH(APFloat(APFloat::IEEEdouble, "0x1.1p+"), "Exponent has no digits");
672 EXPECT_DEATH(APFloat(APFloat::IEEEdouble, "+0x1.1p+"), "Exponent has no digits");
673 EXPECT_DEATH(APFloat(APFloat::IEEEdouble, "-0x1.1p+"), "Exponent has no digits");
674
675 EXPECT_DEATH(APFloat(APFloat::IEEEdouble, "0x1.1p-"), "Exponent has no digits");
676 EXPECT_DEATH(APFloat(APFloat::IEEEdouble, "+0x1.1p-"), "Exponent has no digits");
677 EXPECT_DEATH(APFloat(APFloat::IEEEdouble, "-0x1.1p-"), "Exponent has no digits");
678 }
679 #endif
680 #endif
681
TEST(APFloatTest,exactInverse)682 TEST(APFloatTest, exactInverse) {
683 APFloat inv(0.0f);
684
685 // Trivial operation.
686 EXPECT_TRUE(APFloat(2.0).getExactInverse(&inv));
687 EXPECT_TRUE(inv.bitwiseIsEqual(APFloat(0.5)));
688 EXPECT_TRUE(APFloat(2.0f).getExactInverse(&inv));
689 EXPECT_TRUE(inv.bitwiseIsEqual(APFloat(0.5f)));
690 EXPECT_TRUE(APFloat(APFloat::IEEEquad, "2.0").getExactInverse(&inv));
691 EXPECT_TRUE(inv.bitwiseIsEqual(APFloat(APFloat::IEEEquad, "0.5")));
692 EXPECT_TRUE(APFloat(APFloat::PPCDoubleDouble, "2.0").getExactInverse(&inv));
693 EXPECT_TRUE(inv.bitwiseIsEqual(APFloat(APFloat::PPCDoubleDouble, "0.5")));
694 EXPECT_TRUE(APFloat(APFloat::x87DoubleExtended, "2.0").getExactInverse(&inv));
695 EXPECT_TRUE(inv.bitwiseIsEqual(APFloat(APFloat::x87DoubleExtended, "0.5")));
696
697 // FLT_MIN
698 EXPECT_TRUE(APFloat(1.17549435e-38f).getExactInverse(&inv));
699 EXPECT_TRUE(inv.bitwiseIsEqual(APFloat(8.5070592e+37f)));
700
701 // Large float, inverse is a denormal.
702 EXPECT_FALSE(APFloat(1.7014118e38f).getExactInverse(0));
703 // Zero
704 EXPECT_FALSE(APFloat(0.0).getExactInverse(0));
705 // Denormalized float
706 EXPECT_FALSE(APFloat(1.40129846e-45f).getExactInverse(0));
707 }
708
TEST(APFloatTest,roundToIntegral)709 TEST(APFloatTest, roundToIntegral) {
710 APFloat T(-0.5), S(3.14), R(APFloat::getLargest(APFloat::IEEEdouble)), P(0.0);
711
712 P = T;
713 P.roundToIntegral(APFloat::rmTowardZero);
714 EXPECT_EQ(-0.0, P.convertToDouble());
715 P = T;
716 P.roundToIntegral(APFloat::rmTowardNegative);
717 EXPECT_EQ(-1.0, P.convertToDouble());
718 P = T;
719 P.roundToIntegral(APFloat::rmTowardPositive);
720 EXPECT_EQ(-0.0, P.convertToDouble());
721 P = T;
722 P.roundToIntegral(APFloat::rmNearestTiesToEven);
723 EXPECT_EQ(-0.0, P.convertToDouble());
724
725 P = S;
726 P.roundToIntegral(APFloat::rmTowardZero);
727 EXPECT_EQ(3.0, P.convertToDouble());
728 P = S;
729 P.roundToIntegral(APFloat::rmTowardNegative);
730 EXPECT_EQ(3.0, P.convertToDouble());
731 P = S;
732 P.roundToIntegral(APFloat::rmTowardPositive);
733 EXPECT_EQ(4.0, P.convertToDouble());
734 P = S;
735 P.roundToIntegral(APFloat::rmNearestTiesToEven);
736 EXPECT_EQ(3.0, P.convertToDouble());
737
738 P = R;
739 P.roundToIntegral(APFloat::rmTowardZero);
740 EXPECT_EQ(R.convertToDouble(), P.convertToDouble());
741 P = R;
742 P.roundToIntegral(APFloat::rmTowardNegative);
743 EXPECT_EQ(R.convertToDouble(), P.convertToDouble());
744 P = R;
745 P.roundToIntegral(APFloat::rmTowardPositive);
746 EXPECT_EQ(R.convertToDouble(), P.convertToDouble());
747 P = R;
748 P.roundToIntegral(APFloat::rmNearestTiesToEven);
749 EXPECT_EQ(R.convertToDouble(), P.convertToDouble());
750
751 P = APFloat::getZero(APFloat::IEEEdouble);
752 P.roundToIntegral(APFloat::rmTowardZero);
753 EXPECT_EQ(0.0, P.convertToDouble());
754 P = APFloat::getZero(APFloat::IEEEdouble, true);
755 P.roundToIntegral(APFloat::rmTowardZero);
756 EXPECT_EQ(-0.0, P.convertToDouble());
757 P = APFloat::getNaN(APFloat::IEEEdouble);
758 P.roundToIntegral(APFloat::rmTowardZero);
759 EXPECT_TRUE(IsNAN(P.convertToDouble()));
760 P = APFloat::getInf(APFloat::IEEEdouble);
761 P.roundToIntegral(APFloat::rmTowardZero);
762 EXPECT_TRUE(IsInf(P.convertToDouble()) && P.convertToDouble() > 0.0);
763 P = APFloat::getInf(APFloat::IEEEdouble, true);
764 P.roundToIntegral(APFloat::rmTowardZero);
765 EXPECT_TRUE(IsInf(P.convertToDouble()) && P.convertToDouble() < 0.0);
766
767 }
768
TEST(APFloatTest,getLargest)769 TEST(APFloatTest, getLargest) {
770 EXPECT_EQ(3.402823466e+38f, APFloat::getLargest(APFloat::IEEEsingle).convertToFloat());
771 EXPECT_EQ(1.7976931348623158e+308, APFloat::getLargest(APFloat::IEEEdouble).convertToDouble());
772 }
773
TEST(APFloatTest,convert)774 TEST(APFloatTest, convert) {
775 bool losesInfo;
776 APFloat test(APFloat::IEEEdouble, "1.0");
777 test.convert(APFloat::IEEEsingle, APFloat::rmNearestTiesToEven, &losesInfo);
778 EXPECT_EQ(1.0f, test.convertToFloat());
779 EXPECT_FALSE(losesInfo);
780
781 test = APFloat(APFloat::x87DoubleExtended, "0x1p-53");
782 test.add(APFloat(APFloat::x87DoubleExtended, "1.0"), APFloat::rmNearestTiesToEven);
783 test.convert(APFloat::IEEEdouble, APFloat::rmNearestTiesToEven, &losesInfo);
784 EXPECT_EQ(1.0, test.convertToDouble());
785 EXPECT_TRUE(losesInfo);
786
787 test = APFloat(APFloat::IEEEquad, "0x1p-53");
788 test.add(APFloat(APFloat::IEEEquad, "1.0"), APFloat::rmNearestTiesToEven);
789 test.convert(APFloat::IEEEdouble, APFloat::rmNearestTiesToEven, &losesInfo);
790 EXPECT_EQ(1.0, test.convertToDouble());
791 EXPECT_TRUE(losesInfo);
792
793 test = APFloat(APFloat::x87DoubleExtended, "0xf.fffffffp+28");
794 test.convert(APFloat::IEEEdouble, APFloat::rmNearestTiesToEven, &losesInfo);
795 EXPECT_EQ(4294967295.0, test.convertToDouble());
796 EXPECT_FALSE(losesInfo);
797
798 test = APFloat::getSNaN(APFloat::IEEEsingle);
799 APFloat X87SNaN = APFloat::getSNaN(APFloat::x87DoubleExtended);
800 test.convert(APFloat::x87DoubleExtended, APFloat::rmNearestTiesToEven,
801 &losesInfo);
802 EXPECT_TRUE(test.bitwiseIsEqual(X87SNaN));
803 EXPECT_FALSE(losesInfo);
804
805 test = APFloat::getQNaN(APFloat::IEEEsingle);
806 APFloat X87QNaN = APFloat::getQNaN(APFloat::x87DoubleExtended);
807 test.convert(APFloat::x87DoubleExtended, APFloat::rmNearestTiesToEven,
808 &losesInfo);
809 EXPECT_TRUE(test.bitwiseIsEqual(X87QNaN));
810 EXPECT_FALSE(losesInfo);
811
812 test = APFloat::getSNaN(APFloat::x87DoubleExtended);
813 test.convert(APFloat::x87DoubleExtended, APFloat::rmNearestTiesToEven,
814 &losesInfo);
815 EXPECT_TRUE(test.bitwiseIsEqual(X87SNaN));
816 EXPECT_FALSE(losesInfo);
817
818 test = APFloat::getQNaN(APFloat::x87DoubleExtended);
819 test.convert(APFloat::x87DoubleExtended, APFloat::rmNearestTiesToEven,
820 &losesInfo);
821 EXPECT_TRUE(test.bitwiseIsEqual(X87QNaN));
822 EXPECT_FALSE(losesInfo);
823 }
824
TEST(APFloatTest,PPCDoubleDouble)825 TEST(APFloatTest, PPCDoubleDouble) {
826 APFloat test(APFloat::PPCDoubleDouble, "1.0");
827 EXPECT_EQ(0x3ff0000000000000ull, test.bitcastToAPInt().getRawData()[0]);
828 EXPECT_EQ(0x0000000000000000ull, test.bitcastToAPInt().getRawData()[1]);
829
830 test.divide(APFloat(APFloat::PPCDoubleDouble, "3.0"), APFloat::rmNearestTiesToEven);
831 EXPECT_EQ(0x3fd5555555555555ull, test.bitcastToAPInt().getRawData()[0]);
832 EXPECT_EQ(0x3c75555555555556ull, test.bitcastToAPInt().getRawData()[1]);
833
834 // LDBL_MAX
835 test = APFloat(APFloat::PPCDoubleDouble, "1.79769313486231580793728971405301e+308");
836 EXPECT_EQ(0x7fefffffffffffffull, test.bitcastToAPInt().getRawData()[0]);
837 EXPECT_EQ(0x7c8ffffffffffffeull, test.bitcastToAPInt().getRawData()[1]);
838
839 // LDBL_MIN
840 test = APFloat(APFloat::PPCDoubleDouble, "2.00416836000897277799610805135016e-292");
841 EXPECT_EQ(0x0360000000000000ull, test.bitcastToAPInt().getRawData()[0]);
842 EXPECT_EQ(0x0000000000000000ull, test.bitcastToAPInt().getRawData()[1]);
843
844 test = APFloat(APFloat::PPCDoubleDouble, "1.0");
845 test.add(APFloat(APFloat::PPCDoubleDouble, "0x1p-105"), APFloat::rmNearestTiesToEven);
846 EXPECT_EQ(0x3ff0000000000000ull, test.bitcastToAPInt().getRawData()[0]);
847 EXPECT_EQ(0x3960000000000000ull, test.bitcastToAPInt().getRawData()[1]);
848
849 test = APFloat(APFloat::PPCDoubleDouble, "1.0");
850 test.add(APFloat(APFloat::PPCDoubleDouble, "0x1p-106"), APFloat::rmNearestTiesToEven);
851 EXPECT_EQ(0x3ff0000000000000ull, test.bitcastToAPInt().getRawData()[0]);
852 #if 0 // XFAIL
853 // This is what we would expect with a true double-double implementation
854 EXPECT_EQ(0x3950000000000000ull, test.bitcastToAPInt().getRawData()[1]);
855 #else
856 // This is what we get with our 106-bit mantissa approximation
857 EXPECT_EQ(0x0000000000000000ull, test.bitcastToAPInt().getRawData()[1]);
858 #endif
859 }
860 }
861