1 //===- llvm/unittest/ADT/APFloat.cpp - APFloat unit tests ---------------------===//
3 // The LLVM Compiler Infrastructure
5 // This file is distributed under the University of Illinois Open Source
6 // License. See LICENSE.TXT for details.
8 //===----------------------------------------------------------------------===//
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"
21 static double convertToDoubleFromString(const char *Str) {
23 F.convertFromString(Str, llvm::APFloat::rmNearestTiesToEven);
24 return F.convertToDouble();
27 static std::string convertToString(double d, unsigned Prec, unsigned Pad) {
28 llvm::SmallVector<char, 100> Buffer;
30 F.toString(Buffer, Prec, Pad);
31 return std::string(Buffer.data(), Buffer.size());
36 TEST(APFloatTest, isSignaling) {
37 // We test qNaN, -qNaN, +sNaN, -sNaN with and without payloads. *NOTE* The
38 // positive/negative distinction is included only since the getQNaN/getSNaN
39 // API provides the option.
40 APInt payload = APInt::getOneBitSet(4, 2);
41 EXPECT_FALSE(APFloat::getQNaN(APFloat::IEEEsingle, false).isSignaling());
42 EXPECT_FALSE(APFloat::getQNaN(APFloat::IEEEsingle, true).isSignaling());
43 EXPECT_FALSE(APFloat::getQNaN(APFloat::IEEEsingle, false, &payload).isSignaling());
44 EXPECT_FALSE(APFloat::getQNaN(APFloat::IEEEsingle, true, &payload).isSignaling());
45 EXPECT_TRUE(APFloat::getSNaN(APFloat::IEEEsingle, false).isSignaling());
46 EXPECT_TRUE(APFloat::getSNaN(APFloat::IEEEsingle, true).isSignaling());
47 EXPECT_TRUE(APFloat::getSNaN(APFloat::IEEEsingle, false, &payload).isSignaling());
48 EXPECT_TRUE(APFloat::getSNaN(APFloat::IEEEsingle, true, &payload).isSignaling());
51 TEST(APFloatTest, next) {
53 APFloat test(APFloat::IEEEquad, APFloat::uninitialized);
54 APFloat expected(APFloat::IEEEquad, APFloat::uninitialized);
56 // 1. Test Special Cases Values.
58 // Test all special values for nextUp and nextDown perscribed by IEEE-754R
71 // nextUp(+inf) = +inf.
72 test = APFloat::getInf(APFloat::IEEEquad, false);
73 expected = APFloat::getInf(APFloat::IEEEquad, false);
74 EXPECT_EQ(test.next(false), APFloat::opOK);
75 EXPECT_TRUE(test.isInfinity());
76 EXPECT_TRUE(!test.isNegative());
77 EXPECT_TRUE(test.bitwiseIsEqual(expected));
79 // nextDown(+inf) = -nextUp(-inf) = -(-getLargest()) = getLargest()
80 test = APFloat::getInf(APFloat::IEEEquad, false);
81 expected = APFloat::getLargest(APFloat::IEEEquad, false);
82 EXPECT_EQ(test.next(true), APFloat::opOK);
83 EXPECT_TRUE(!test.isNegative());
84 EXPECT_TRUE(test.bitwiseIsEqual(expected));
86 // nextUp(-inf) = -getLargest()
87 test = APFloat::getInf(APFloat::IEEEquad, true);
88 expected = APFloat::getLargest(APFloat::IEEEquad, true);
89 EXPECT_EQ(test.next(false), APFloat::opOK);
90 EXPECT_TRUE(test.isNegative());
91 EXPECT_TRUE(test.bitwiseIsEqual(expected));
93 // nextDown(-inf) = -nextUp(+inf) = -(+inf) = -inf.
94 test = APFloat::getInf(APFloat::IEEEquad, true);
95 expected = APFloat::getInf(APFloat::IEEEquad, true);
96 EXPECT_EQ(test.next(true), APFloat::opOK);
97 EXPECT_TRUE(test.isInfinity() && test.isNegative());
98 EXPECT_TRUE(test.bitwiseIsEqual(expected));
100 // nextUp(getLargest()) = +inf
101 test = APFloat::getLargest(APFloat::IEEEquad, false);
102 expected = APFloat::getInf(APFloat::IEEEquad, false);
103 EXPECT_EQ(test.next(false), APFloat::opOK);
104 EXPECT_TRUE(test.isInfinity() && !test.isNegative());
105 EXPECT_TRUE(test.bitwiseIsEqual(expected));
107 // nextDown(getLargest()) = -nextUp(-getLargest())
108 // = -(-getLargest() + inc)
109 // = getLargest() - inc.
110 test = APFloat::getLargest(APFloat::IEEEquad, false);
111 expected = APFloat(APFloat::IEEEquad,
112 "0x1.fffffffffffffffffffffffffffep+16383");
113 EXPECT_EQ(test.next(true), APFloat::opOK);
114 EXPECT_TRUE(!test.isInfinity() && !test.isNegative());
115 EXPECT_TRUE(test.bitwiseIsEqual(expected));
117 // nextUp(-getLargest()) = -getLargest() + inc.
118 test = APFloat::getLargest(APFloat::IEEEquad, true);
119 expected = APFloat(APFloat::IEEEquad,
120 "-0x1.fffffffffffffffffffffffffffep+16383");
121 EXPECT_EQ(test.next(false), APFloat::opOK);
122 EXPECT_TRUE(test.bitwiseIsEqual(expected));
124 // nextDown(-getLargest()) = -nextUp(getLargest()) = -(inf) = -inf.
125 test = APFloat::getLargest(APFloat::IEEEquad, true);
126 expected = APFloat::getInf(APFloat::IEEEquad, true);
127 EXPECT_EQ(test.next(true), APFloat::opOK);
128 EXPECT_TRUE(test.isInfinity() && test.isNegative());
129 EXPECT_TRUE(test.bitwiseIsEqual(expected));
131 // nextUp(getSmallest()) = getSmallest() + inc.
132 test = APFloat(APFloat::IEEEquad, "0x0.0000000000000000000000000001p-16382");
133 expected = APFloat(APFloat::IEEEquad,
134 "0x0.0000000000000000000000000002p-16382");
135 EXPECT_EQ(test.next(false), APFloat::opOK);
136 EXPECT_TRUE(test.bitwiseIsEqual(expected));
138 // nextDown(getSmallest()) = -nextUp(-getSmallest()) = -(-0) = +0.
139 test = APFloat(APFloat::IEEEquad, "0x0.0000000000000000000000000001p-16382");
140 expected = APFloat::getZero(APFloat::IEEEquad, false);
141 EXPECT_EQ(test.next(true), APFloat::opOK);
142 EXPECT_TRUE(test.isZero() && !test.isNegative());
143 EXPECT_TRUE(test.bitwiseIsEqual(expected));
145 // nextUp(-getSmallest()) = -0.
146 test = APFloat(APFloat::IEEEquad, "-0x0.0000000000000000000000000001p-16382");
147 expected = APFloat::getZero(APFloat::IEEEquad, true);
148 EXPECT_EQ(test.next(false), APFloat::opOK);
149 EXPECT_TRUE(test.isZero() && test.isNegative());
150 EXPECT_TRUE(test.bitwiseIsEqual(expected));
152 // nextDown(-getSmallest()) = -nextUp(getSmallest()) = -getSmallest() - inc.
153 test = APFloat(APFloat::IEEEquad, "-0x0.0000000000000000000000000001p-16382");
154 expected = APFloat(APFloat::IEEEquad,
155 "-0x0.0000000000000000000000000002p-16382");
156 EXPECT_EQ(test.next(true), APFloat::opOK);
157 EXPECT_TRUE(test.bitwiseIsEqual(expected));
159 // nextUp(qNaN) = qNaN
160 test = APFloat::getQNaN(APFloat::IEEEquad, false);
161 expected = APFloat::getQNaN(APFloat::IEEEquad, false);
162 EXPECT_EQ(test.next(false), APFloat::opOK);
163 EXPECT_TRUE(test.bitwiseIsEqual(expected));
165 // nextDown(qNaN) = qNaN
166 test = APFloat::getQNaN(APFloat::IEEEquad, false);
167 expected = APFloat::getQNaN(APFloat::IEEEquad, false);
168 EXPECT_EQ(test.next(true), APFloat::opOK);
169 EXPECT_TRUE(test.bitwiseIsEqual(expected));
171 // nextUp(sNaN) = qNaN
172 test = APFloat::getSNaN(APFloat::IEEEquad, false);
173 expected = APFloat::getQNaN(APFloat::IEEEquad, false);
174 EXPECT_EQ(test.next(false), APFloat::opInvalidOp);
175 EXPECT_TRUE(test.bitwiseIsEqual(expected));
177 // nextDown(sNaN) = qNaN
178 test = APFloat::getSNaN(APFloat::IEEEquad, false);
179 expected = APFloat::getQNaN(APFloat::IEEEquad, false);
180 EXPECT_EQ(test.next(true), APFloat::opInvalidOp);
181 EXPECT_TRUE(test.bitwiseIsEqual(expected));
183 // nextUp(+0) = +getSmallest()
184 test = APFloat::getZero(APFloat::IEEEquad, false);
185 expected = APFloat::getSmallest(APFloat::IEEEquad, false);
186 EXPECT_EQ(test.next(false), APFloat::opOK);
187 EXPECT_TRUE(test.bitwiseIsEqual(expected));
189 // nextDown(+0) = -nextUp(-0) = -getSmallest()
190 test = APFloat::getZero(APFloat::IEEEquad, false);
191 expected = APFloat::getSmallest(APFloat::IEEEquad, true);
192 EXPECT_EQ(test.next(true), APFloat::opOK);
193 EXPECT_TRUE(test.bitwiseIsEqual(expected));
195 // nextUp(-0) = +getSmallest()
196 test = APFloat::getZero(APFloat::IEEEquad, true);
197 expected = APFloat::getSmallest(APFloat::IEEEquad, false);
198 EXPECT_EQ(test.next(false), APFloat::opOK);
199 EXPECT_TRUE(test.bitwiseIsEqual(expected));
201 // nextDown(-0) = -nextUp(0) = -getSmallest()
202 test = APFloat::getZero(APFloat::IEEEquad, true);
203 expected = APFloat::getSmallest(APFloat::IEEEquad, true);
204 EXPECT_EQ(test.next(true), APFloat::opOK);
205 EXPECT_TRUE(test.bitwiseIsEqual(expected));
207 // 2. Binade Boundary Tests.
209 // 2a. Test denormal <-> normal binade boundaries.
210 // * nextUp(+Largest Denormal) -> +Smallest Normal.
211 // * nextDown(-Largest Denormal) -> -Smallest Normal.
212 // * nextUp(-Smallest Normal) -> -Largest Denormal.
213 // * nextDown(+Smallest Normal) -> +Largest Denormal.
215 // nextUp(+Largest Denormal) -> +Smallest Normal.
216 test = APFloat(APFloat::IEEEquad, "0x0.ffffffffffffffffffffffffffffp-16382");
217 expected = APFloat(APFloat::IEEEquad,
218 "0x1.0000000000000000000000000000p-16382");
219 EXPECT_EQ(test.next(false), APFloat::opOK);
220 EXPECT_FALSE(test.isDenormal());
221 EXPECT_TRUE(test.bitwiseIsEqual(expected));
223 // nextDown(-Largest Denormal) -> -Smallest Normal.
224 test = APFloat(APFloat::IEEEquad,
225 "-0x0.ffffffffffffffffffffffffffffp-16382");
226 expected = APFloat(APFloat::IEEEquad,
227 "-0x1.0000000000000000000000000000p-16382");
228 EXPECT_EQ(test.next(true), APFloat::opOK);
229 EXPECT_FALSE(test.isDenormal());
230 EXPECT_TRUE(test.bitwiseIsEqual(expected));
232 // nextUp(-Smallest Normal) -> -LargestDenormal.
233 test = APFloat(APFloat::IEEEquad,
234 "-0x1.0000000000000000000000000000p-16382");
235 expected = APFloat(APFloat::IEEEquad,
236 "-0x0.ffffffffffffffffffffffffffffp-16382");
237 EXPECT_EQ(test.next(false), APFloat::opOK);
238 EXPECT_TRUE(test.isDenormal());
239 EXPECT_TRUE(test.bitwiseIsEqual(expected));
241 // nextDown(+Smallest Normal) -> +Largest Denormal.
242 test = APFloat(APFloat::IEEEquad,
243 "+0x1.0000000000000000000000000000p-16382");
244 expected = APFloat(APFloat::IEEEquad,
245 "+0x0.ffffffffffffffffffffffffffffp-16382");
246 EXPECT_EQ(test.next(true), APFloat::opOK);
247 EXPECT_TRUE(test.isDenormal());
248 EXPECT_TRUE(test.bitwiseIsEqual(expected));
250 // 2b. Test normal <-> normal binade boundaries.
251 // * nextUp(-Normal Binade Boundary) -> -Normal Binade Boundary + 1.
252 // * nextDown(+Normal Binade Boundary) -> +Normal Binade Boundary - 1.
253 // * nextUp(+Normal Binade Boundary - 1) -> +Normal Binade Boundary.
254 // * nextDown(-Normal Binade Boundary + 1) -> -Normal Binade Boundary.
256 // nextUp(-Normal Binade Boundary) -> -Normal Binade Boundary + 1.
257 test = APFloat(APFloat::IEEEquad, "-0x1p+1");
258 expected = APFloat(APFloat::IEEEquad,
259 "-0x1.ffffffffffffffffffffffffffffp+0");
260 EXPECT_EQ(test.next(false), APFloat::opOK);
261 EXPECT_TRUE(test.bitwiseIsEqual(expected));
263 // nextDown(+Normal Binade Boundary) -> +Normal Binade Boundary - 1.
264 test = APFloat(APFloat::IEEEquad, "0x1p+1");
265 expected = APFloat(APFloat::IEEEquad, "0x1.ffffffffffffffffffffffffffffp+0");
266 EXPECT_EQ(test.next(true), APFloat::opOK);
267 EXPECT_TRUE(test.bitwiseIsEqual(expected));
269 // nextUp(+Normal Binade Boundary - 1) -> +Normal Binade Boundary.
270 test = APFloat(APFloat::IEEEquad, "0x1.ffffffffffffffffffffffffffffp+0");
271 expected = APFloat(APFloat::IEEEquad, "0x1p+1");
272 EXPECT_EQ(test.next(false), APFloat::opOK);
273 EXPECT_TRUE(test.bitwiseIsEqual(expected));
275 // nextDown(-Normal Binade Boundary + 1) -> -Normal Binade Boundary.
276 test = APFloat(APFloat::IEEEquad, "-0x1.ffffffffffffffffffffffffffffp+0");
277 expected = APFloat(APFloat::IEEEquad, "-0x1p+1");
278 EXPECT_EQ(test.next(true), APFloat::opOK);
279 EXPECT_TRUE(test.bitwiseIsEqual(expected));
281 // 2c. Test using next at binade boundaries with a direction away from the
282 // binade boundary. Away from denormal <-> normal boundaries.
284 // This is to make sure that even though we are at a binade boundary, since
285 // we are rounding away, we do not trigger the binade boundary code. Thus we
287 // * nextUp(-Largest Denormal) -> -Largest Denormal + inc.
288 // * nextDown(+Largest Denormal) -> +Largest Denormal - inc.
289 // * nextUp(+Smallest Normal) -> +Smallest Normal + inc.
290 // * nextDown(-Smallest Normal) -> -Smallest Normal - inc.
292 // nextUp(-Largest Denormal) -> -Largest Denormal + inc.
293 test = APFloat(APFloat::IEEEquad, "-0x0.ffffffffffffffffffffffffffffp-16382");
294 expected = APFloat(APFloat::IEEEquad,
295 "-0x0.fffffffffffffffffffffffffffep-16382");
296 EXPECT_EQ(test.next(false), APFloat::opOK);
297 EXPECT_TRUE(test.isDenormal());
298 EXPECT_TRUE(test.isNegative());
299 EXPECT_TRUE(test.bitwiseIsEqual(expected));
301 // nextDown(+Largest Denormal) -> +Largest Denormal - inc.
302 test = APFloat(APFloat::IEEEquad, "0x0.ffffffffffffffffffffffffffffp-16382");
303 expected = APFloat(APFloat::IEEEquad,
304 "0x0.fffffffffffffffffffffffffffep-16382");
305 EXPECT_EQ(test.next(true), APFloat::opOK);
306 EXPECT_TRUE(test.isDenormal());
307 EXPECT_TRUE(!test.isNegative());
308 EXPECT_TRUE(test.bitwiseIsEqual(expected));
310 // nextUp(+Smallest Normal) -> +Smallest Normal + inc.
311 test = APFloat(APFloat::IEEEquad, "0x1.0000000000000000000000000000p-16382");
312 expected = APFloat(APFloat::IEEEquad,
313 "0x1.0000000000000000000000000001p-16382");
314 EXPECT_EQ(test.next(false), APFloat::opOK);
315 EXPECT_TRUE(!test.isDenormal());
316 EXPECT_TRUE(!test.isNegative());
317 EXPECT_TRUE(test.bitwiseIsEqual(expected));
319 // nextDown(-Smallest Normal) -> -Smallest Normal - inc.
320 test = APFloat(APFloat::IEEEquad, "-0x1.0000000000000000000000000000p-16382");
321 expected = APFloat(APFloat::IEEEquad,
322 "-0x1.0000000000000000000000000001p-16382");
323 EXPECT_EQ(test.next(true), APFloat::opOK);
324 EXPECT_TRUE(!test.isDenormal());
325 EXPECT_TRUE(test.isNegative());
326 EXPECT_TRUE(test.bitwiseIsEqual(expected));
328 // 2d. Test values which cause our exponent to go to min exponent. This
329 // is to ensure that guards in the code to check for min exponent
331 // * nextUp(-0x1p-16381) -> -0x1.ffffffffffffffffffffffffffffp-16382
332 // * nextDown(-0x1.ffffffffffffffffffffffffffffp-16382) ->
334 // * nextUp(0x1.ffffffffffffffffffffffffffffp-16382) -> 0x1p-16382
335 // * nextDown(0x1p-16382) -> 0x1.ffffffffffffffffffffffffffffp-16382
337 // nextUp(-0x1p-16381) -> -0x1.ffffffffffffffffffffffffffffp-16382
338 test = APFloat(APFloat::IEEEquad, "-0x1p-16381");
339 expected = APFloat(APFloat::IEEEquad,
340 "-0x1.ffffffffffffffffffffffffffffp-16382");
341 EXPECT_EQ(test.next(false), APFloat::opOK);
342 EXPECT_TRUE(test.bitwiseIsEqual(expected));
344 // nextDown(-0x1.ffffffffffffffffffffffffffffp-16382) ->
346 test = APFloat(APFloat::IEEEquad, "-0x1.ffffffffffffffffffffffffffffp-16382");
347 expected = APFloat(APFloat::IEEEquad, "-0x1p-16381");
348 EXPECT_EQ(test.next(true), APFloat::opOK);
349 EXPECT_TRUE(test.bitwiseIsEqual(expected));
351 // nextUp(0x1.ffffffffffffffffffffffffffffp-16382) -> 0x1p-16381
352 test = APFloat(APFloat::IEEEquad, "0x1.ffffffffffffffffffffffffffffp-16382");
353 expected = APFloat(APFloat::IEEEquad, "0x1p-16381");
354 EXPECT_EQ(test.next(false), APFloat::opOK);
355 EXPECT_TRUE(test.bitwiseIsEqual(expected));
357 // nextDown(0x1p-16381) -> 0x1.ffffffffffffffffffffffffffffp-16382
358 test = APFloat(APFloat::IEEEquad, "0x1p-16381");
359 expected = APFloat(APFloat::IEEEquad,
360 "0x1.ffffffffffffffffffffffffffffp-16382");
361 EXPECT_EQ(test.next(true), APFloat::opOK);
362 EXPECT_TRUE(test.bitwiseIsEqual(expected));
364 // 3. Now we test both denormal/normal computation which will not cause us
365 // to go across binade boundaries. Specifically we test:
366 // * nextUp(+Denormal) -> +Denormal.
367 // * nextDown(+Denormal) -> +Denormal.
368 // * nextUp(-Denormal) -> -Denormal.
369 // * nextDown(-Denormal) -> -Denormal.
370 // * nextUp(+Normal) -> +Normal.
371 // * nextDown(+Normal) -> +Normal.
372 // * nextUp(-Normal) -> -Normal.
373 // * nextDown(-Normal) -> -Normal.
375 // nextUp(+Denormal) -> +Denormal.
376 test = APFloat(APFloat::IEEEquad,
377 "0x0.ffffffffffffffffffffffff000cp-16382");
378 expected = APFloat(APFloat::IEEEquad,
379 "0x0.ffffffffffffffffffffffff000dp-16382");
380 EXPECT_EQ(test.next(false), APFloat::opOK);
381 EXPECT_TRUE(test.isDenormal());
382 EXPECT_TRUE(!test.isNegative());
383 EXPECT_TRUE(test.bitwiseIsEqual(expected));
385 // nextDown(+Denormal) -> +Denormal.
386 test = APFloat(APFloat::IEEEquad,
387 "0x0.ffffffffffffffffffffffff000cp-16382");
388 expected = APFloat(APFloat::IEEEquad,
389 "0x0.ffffffffffffffffffffffff000bp-16382");
390 EXPECT_EQ(test.next(true), APFloat::opOK);
391 EXPECT_TRUE(test.isDenormal());
392 EXPECT_TRUE(!test.isNegative());
393 EXPECT_TRUE(test.bitwiseIsEqual(expected));
395 // nextUp(-Denormal) -> -Denormal.
396 test = APFloat(APFloat::IEEEquad,
397 "-0x0.ffffffffffffffffffffffff000cp-16382");
398 expected = APFloat(APFloat::IEEEquad,
399 "-0x0.ffffffffffffffffffffffff000bp-16382");
400 EXPECT_EQ(test.next(false), APFloat::opOK);
401 EXPECT_TRUE(test.isDenormal());
402 EXPECT_TRUE(test.isNegative());
403 EXPECT_TRUE(test.bitwiseIsEqual(expected));
405 // nextDown(-Denormal) -> -Denormal
406 test = APFloat(APFloat::IEEEquad,
407 "-0x0.ffffffffffffffffffffffff000cp-16382");
408 expected = APFloat(APFloat::IEEEquad,
409 "-0x0.ffffffffffffffffffffffff000dp-16382");
410 EXPECT_EQ(test.next(true), APFloat::opOK);
411 EXPECT_TRUE(test.isDenormal());
412 EXPECT_TRUE(test.isNegative());
413 EXPECT_TRUE(test.bitwiseIsEqual(expected));
415 // nextUp(+Normal) -> +Normal.
416 test = APFloat(APFloat::IEEEquad,
417 "0x1.ffffffffffffffffffffffff000cp-16000");
418 expected = APFloat(APFloat::IEEEquad,
419 "0x1.ffffffffffffffffffffffff000dp-16000");
420 EXPECT_EQ(test.next(false), APFloat::opOK);
421 EXPECT_TRUE(!test.isDenormal());
422 EXPECT_TRUE(!test.isNegative());
423 EXPECT_TRUE(test.bitwiseIsEqual(expected));
425 // nextDown(+Normal) -> +Normal.
426 test = APFloat(APFloat::IEEEquad,
427 "0x1.ffffffffffffffffffffffff000cp-16000");
428 expected = APFloat(APFloat::IEEEquad,
429 "0x1.ffffffffffffffffffffffff000bp-16000");
430 EXPECT_EQ(test.next(true), APFloat::opOK);
431 EXPECT_TRUE(!test.isDenormal());
432 EXPECT_TRUE(!test.isNegative());
433 EXPECT_TRUE(test.bitwiseIsEqual(expected));
435 // nextUp(-Normal) -> -Normal.
436 test = APFloat(APFloat::IEEEquad,
437 "-0x1.ffffffffffffffffffffffff000cp-16000");
438 expected = APFloat(APFloat::IEEEquad,
439 "-0x1.ffffffffffffffffffffffff000bp-16000");
440 EXPECT_EQ(test.next(false), APFloat::opOK);
441 EXPECT_TRUE(!test.isDenormal());
442 EXPECT_TRUE(test.isNegative());
443 EXPECT_TRUE(test.bitwiseIsEqual(expected));
445 // nextDown(-Normal) -> -Normal.
446 test = APFloat(APFloat::IEEEquad,
447 "-0x1.ffffffffffffffffffffffff000cp-16000");
448 expected = APFloat(APFloat::IEEEquad,
449 "-0x1.ffffffffffffffffffffffff000dp-16000");
450 EXPECT_EQ(test.next(true), APFloat::opOK);
451 EXPECT_TRUE(!test.isDenormal());
452 EXPECT_TRUE(test.isNegative());
453 EXPECT_TRUE(test.bitwiseIsEqual(expected));
456 TEST(APFloatTest, FMA) {
457 APFloat::roundingMode rdmd = APFloat::rmNearestTiesToEven;
463 f1.fusedMultiplyAdd(f2, f3, APFloat::rmNearestTiesToEven);
464 EXPECT_EQ(14.75f, f1.convertToFloat());
469 APFloat f1((float)1.17549435e-38F);
470 APFloat f2((float)1.17549435e-38F);
471 f1.divide(Val2, rdmd);
472 f2.divide(Val2, rdmd);
474 f1.fusedMultiplyAdd(f2, f3, APFloat::rmNearestTiesToEven);
475 EXPECT_EQ(12.0f, f1.convertToFloat());
479 TEST(APFloatTest, Denormal) {
480 APFloat::roundingMode rdmd = APFloat::rmNearestTiesToEven;
482 // Test single precision
484 const char *MinNormalStr = "1.17549435082228750797e-38";
485 EXPECT_FALSE(APFloat(APFloat::IEEEsingle, MinNormalStr).isDenormal());
486 EXPECT_FALSE(APFloat(APFloat::IEEEsingle, 0.0).isDenormal());
488 APFloat Val2(APFloat::IEEEsingle, 2.0e0);
489 APFloat T(APFloat::IEEEsingle, MinNormalStr);
490 T.divide(Val2, rdmd);
491 EXPECT_TRUE(T.isDenormal());
494 // Test double precision
496 const char *MinNormalStr = "2.22507385850720138309e-308";
497 EXPECT_FALSE(APFloat(APFloat::IEEEdouble, MinNormalStr).isDenormal());
498 EXPECT_FALSE(APFloat(APFloat::IEEEdouble, 0.0).isDenormal());
500 APFloat Val2(APFloat::IEEEdouble, 2.0e0);
501 APFloat T(APFloat::IEEEdouble, MinNormalStr);
502 T.divide(Val2, rdmd);
503 EXPECT_TRUE(T.isDenormal());
506 // Test Intel double-ext
508 const char *MinNormalStr = "3.36210314311209350626e-4932";
509 EXPECT_FALSE(APFloat(APFloat::x87DoubleExtended, MinNormalStr).isDenormal());
510 EXPECT_FALSE(APFloat(APFloat::x87DoubleExtended, 0.0).isDenormal());
512 APFloat Val2(APFloat::x87DoubleExtended, 2.0e0);
513 APFloat T(APFloat::x87DoubleExtended, MinNormalStr);
514 T.divide(Val2, rdmd);
515 EXPECT_TRUE(T.isDenormal());
518 // Test quadruple precision
520 const char *MinNormalStr = "3.36210314311209350626267781732175260e-4932";
521 EXPECT_FALSE(APFloat(APFloat::IEEEquad, MinNormalStr).isDenormal());
522 EXPECT_FALSE(APFloat(APFloat::IEEEquad, 0.0).isDenormal());
524 APFloat Val2(APFloat::IEEEquad, 2.0e0);
525 APFloat T(APFloat::IEEEquad, MinNormalStr);
526 T.divide(Val2, rdmd);
527 EXPECT_TRUE(T.isDenormal());
531 TEST(APFloatTest, Zero) {
532 EXPECT_EQ(0.0f, APFloat(0.0f).convertToFloat());
533 EXPECT_EQ(-0.0f, APFloat(-0.0f).convertToFloat());
534 EXPECT_TRUE(APFloat(-0.0f).isNegative());
536 EXPECT_EQ(0.0, APFloat(0.0).convertToDouble());
537 EXPECT_EQ(-0.0, APFloat(-0.0).convertToDouble());
538 EXPECT_TRUE(APFloat(-0.0).isNegative());
541 TEST(APFloatTest, DecimalStringsWithoutNullTerminators) {
542 // Make sure that we can parse strings without null terminators.
544 APFloat Val(APFloat::IEEEdouble);
545 Val.convertFromString(StringRef("0.00", 3),
546 llvm::APFloat::rmNearestTiesToEven);
547 EXPECT_EQ(Val.convertToDouble(), 0.0);
548 Val.convertFromString(StringRef("0.01", 3),
549 llvm::APFloat::rmNearestTiesToEven);
550 EXPECT_EQ(Val.convertToDouble(), 0.0);
551 Val.convertFromString(StringRef("0.09", 3),
552 llvm::APFloat::rmNearestTiesToEven);
553 EXPECT_EQ(Val.convertToDouble(), 0.0);
554 Val.convertFromString(StringRef("0.095", 4),
555 llvm::APFloat::rmNearestTiesToEven);
556 EXPECT_EQ(Val.convertToDouble(), 0.09);
557 Val.convertFromString(StringRef("0.00e+3", 7),
558 llvm::APFloat::rmNearestTiesToEven);
559 EXPECT_EQ(Val.convertToDouble(), 0.00);
560 Val.convertFromString(StringRef("0e+3", 4),
561 llvm::APFloat::rmNearestTiesToEven);
562 EXPECT_EQ(Val.convertToDouble(), 0.00);
566 TEST(APFloatTest, fromZeroDecimalString) {
567 EXPECT_EQ( 0.0, APFloat(APFloat::IEEEdouble, "0").convertToDouble());
568 EXPECT_EQ(+0.0, APFloat(APFloat::IEEEdouble, "+0").convertToDouble());
569 EXPECT_EQ(-0.0, APFloat(APFloat::IEEEdouble, "-0").convertToDouble());
571 EXPECT_EQ( 0.0, APFloat(APFloat::IEEEdouble, "0.").convertToDouble());
572 EXPECT_EQ(+0.0, APFloat(APFloat::IEEEdouble, "+0.").convertToDouble());
573 EXPECT_EQ(-0.0, APFloat(APFloat::IEEEdouble, "-0.").convertToDouble());
575 EXPECT_EQ( 0.0, APFloat(APFloat::IEEEdouble, ".0").convertToDouble());
576 EXPECT_EQ(+0.0, APFloat(APFloat::IEEEdouble, "+.0").convertToDouble());
577 EXPECT_EQ(-0.0, APFloat(APFloat::IEEEdouble, "-.0").convertToDouble());
579 EXPECT_EQ( 0.0, APFloat(APFloat::IEEEdouble, "0.0").convertToDouble());
580 EXPECT_EQ(+0.0, APFloat(APFloat::IEEEdouble, "+0.0").convertToDouble());
581 EXPECT_EQ(-0.0, APFloat(APFloat::IEEEdouble, "-0.0").convertToDouble());
583 EXPECT_EQ( 0.0, APFloat(APFloat::IEEEdouble, "00000.").convertToDouble());
584 EXPECT_EQ(+0.0, APFloat(APFloat::IEEEdouble, "+00000.").convertToDouble());
585 EXPECT_EQ(-0.0, APFloat(APFloat::IEEEdouble, "-00000.").convertToDouble());
587 EXPECT_EQ(0.0, APFloat(APFloat::IEEEdouble, ".00000").convertToDouble());
588 EXPECT_EQ(+0.0, APFloat(APFloat::IEEEdouble, "+.00000").convertToDouble());
589 EXPECT_EQ(-0.0, APFloat(APFloat::IEEEdouble, "-.00000").convertToDouble());
591 EXPECT_EQ( 0.0, APFloat(APFloat::IEEEdouble, "0000.00000").convertToDouble());
592 EXPECT_EQ(+0.0, APFloat(APFloat::IEEEdouble, "+0000.00000").convertToDouble());
593 EXPECT_EQ(-0.0, APFloat(APFloat::IEEEdouble, "-0000.00000").convertToDouble());
596 TEST(APFloatTest, fromZeroDecimalSingleExponentString) {
597 EXPECT_EQ( 0.0, APFloat(APFloat::IEEEdouble, "0e1").convertToDouble());
598 EXPECT_EQ(+0.0, APFloat(APFloat::IEEEdouble, "+0e1").convertToDouble());
599 EXPECT_EQ(-0.0, APFloat(APFloat::IEEEdouble, "-0e1").convertToDouble());
601 EXPECT_EQ( 0.0, APFloat(APFloat::IEEEdouble, "0e+1").convertToDouble());
602 EXPECT_EQ(+0.0, APFloat(APFloat::IEEEdouble, "+0e+1").convertToDouble());
603 EXPECT_EQ(-0.0, APFloat(APFloat::IEEEdouble, "-0e+1").convertToDouble());
605 EXPECT_EQ( 0.0, APFloat(APFloat::IEEEdouble, "0e-1").convertToDouble());
606 EXPECT_EQ(+0.0, APFloat(APFloat::IEEEdouble, "+0e-1").convertToDouble());
607 EXPECT_EQ(-0.0, APFloat(APFloat::IEEEdouble, "-0e-1").convertToDouble());
610 EXPECT_EQ( 0.0, APFloat(APFloat::IEEEdouble, "0.e1").convertToDouble());
611 EXPECT_EQ(+0.0, APFloat(APFloat::IEEEdouble, "+0.e1").convertToDouble());
612 EXPECT_EQ(-0.0, APFloat(APFloat::IEEEdouble, "-0.e1").convertToDouble());
614 EXPECT_EQ( 0.0, APFloat(APFloat::IEEEdouble, "0.e+1").convertToDouble());
615 EXPECT_EQ(+0.0, APFloat(APFloat::IEEEdouble, "+0.e+1").convertToDouble());
616 EXPECT_EQ(-0.0, APFloat(APFloat::IEEEdouble, "-0.e+1").convertToDouble());
618 EXPECT_EQ( 0.0, APFloat(APFloat::IEEEdouble, "0.e-1").convertToDouble());
619 EXPECT_EQ(+0.0, APFloat(APFloat::IEEEdouble, "+0.e-1").convertToDouble());
620 EXPECT_EQ(-0.0, APFloat(APFloat::IEEEdouble, "-0.e-1").convertToDouble());
622 EXPECT_EQ( 0.0, APFloat(APFloat::IEEEdouble, ".0e1").convertToDouble());
623 EXPECT_EQ(+0.0, APFloat(APFloat::IEEEdouble, "+.0e1").convertToDouble());
624 EXPECT_EQ(-0.0, APFloat(APFloat::IEEEdouble, "-.0e1").convertToDouble());
626 EXPECT_EQ( 0.0, APFloat(APFloat::IEEEdouble, ".0e+1").convertToDouble());
627 EXPECT_EQ(+0.0, APFloat(APFloat::IEEEdouble, "+.0e+1").convertToDouble());
628 EXPECT_EQ(-0.0, APFloat(APFloat::IEEEdouble, "-.0e+1").convertToDouble());
630 EXPECT_EQ( 0.0, APFloat(APFloat::IEEEdouble, ".0e-1").convertToDouble());
631 EXPECT_EQ(+0.0, APFloat(APFloat::IEEEdouble, "+.0e-1").convertToDouble());
632 EXPECT_EQ(-0.0, APFloat(APFloat::IEEEdouble, "-.0e-1").convertToDouble());
635 EXPECT_EQ( 0.0, APFloat(APFloat::IEEEdouble, "0.0e1").convertToDouble());
636 EXPECT_EQ(+0.0, APFloat(APFloat::IEEEdouble, "+0.0e1").convertToDouble());
637 EXPECT_EQ(-0.0, APFloat(APFloat::IEEEdouble, "-0.0e1").convertToDouble());
639 EXPECT_EQ( 0.0, APFloat(APFloat::IEEEdouble, "0.0e+1").convertToDouble());
640 EXPECT_EQ(+0.0, APFloat(APFloat::IEEEdouble, "+0.0e+1").convertToDouble());
641 EXPECT_EQ(-0.0, APFloat(APFloat::IEEEdouble, "-0.0e+1").convertToDouble());
643 EXPECT_EQ( 0.0, APFloat(APFloat::IEEEdouble, "0.0e-1").convertToDouble());
644 EXPECT_EQ(+0.0, APFloat(APFloat::IEEEdouble, "+0.0e-1").convertToDouble());
645 EXPECT_EQ(-0.0, APFloat(APFloat::IEEEdouble, "-0.0e-1").convertToDouble());
648 EXPECT_EQ( 0.0, APFloat(APFloat::IEEEdouble, "000.0000e1").convertToDouble());
649 EXPECT_EQ(+0.0, APFloat(APFloat::IEEEdouble, "+000.0000e+1").convertToDouble());
650 EXPECT_EQ(-0.0, APFloat(APFloat::IEEEdouble, "-000.0000e+1").convertToDouble());
653 TEST(APFloatTest, fromZeroDecimalLargeExponentString) {
654 EXPECT_EQ( 0.0, APFloat(APFloat::IEEEdouble, "0e1234").convertToDouble());
655 EXPECT_EQ(+0.0, APFloat(APFloat::IEEEdouble, "+0e1234").convertToDouble());
656 EXPECT_EQ(-0.0, APFloat(APFloat::IEEEdouble, "-0e1234").convertToDouble());
658 EXPECT_EQ( 0.0, APFloat(APFloat::IEEEdouble, "0e+1234").convertToDouble());
659 EXPECT_EQ(+0.0, APFloat(APFloat::IEEEdouble, "+0e+1234").convertToDouble());
660 EXPECT_EQ(-0.0, APFloat(APFloat::IEEEdouble, "-0e+1234").convertToDouble());
662 EXPECT_EQ( 0.0, APFloat(APFloat::IEEEdouble, "0e-1234").convertToDouble());
663 EXPECT_EQ(+0.0, APFloat(APFloat::IEEEdouble, "+0e-1234").convertToDouble());
664 EXPECT_EQ(-0.0, APFloat(APFloat::IEEEdouble, "-0e-1234").convertToDouble());
666 EXPECT_EQ(0.0, APFloat(APFloat::IEEEdouble, "000.0000e1234").convertToDouble());
667 EXPECT_EQ(0.0, APFloat(APFloat::IEEEdouble, "000.0000e-1234").convertToDouble());
669 EXPECT_EQ(0.0, APFloat(APFloat::IEEEdouble, StringRef("0e1234\02", 6)).convertToDouble());
672 TEST(APFloatTest, fromZeroHexadecimalString) {
673 EXPECT_EQ( 0.0, APFloat(APFloat::IEEEdouble, "0x0p1").convertToDouble());
674 EXPECT_EQ(+0.0, APFloat(APFloat::IEEEdouble, "+0x0p1").convertToDouble());
675 EXPECT_EQ(-0.0, APFloat(APFloat::IEEEdouble, "-0x0p1").convertToDouble());
677 EXPECT_EQ( 0.0, APFloat(APFloat::IEEEdouble, "0x0p+1").convertToDouble());
678 EXPECT_EQ(+0.0, APFloat(APFloat::IEEEdouble, "+0x0p+1").convertToDouble());
679 EXPECT_EQ(-0.0, APFloat(APFloat::IEEEdouble, "-0x0p+1").convertToDouble());
681 EXPECT_EQ( 0.0, APFloat(APFloat::IEEEdouble, "0x0p-1").convertToDouble());
682 EXPECT_EQ(+0.0, APFloat(APFloat::IEEEdouble, "+0x0p-1").convertToDouble());
683 EXPECT_EQ(-0.0, APFloat(APFloat::IEEEdouble, "-0x0p-1").convertToDouble());
686 EXPECT_EQ( 0.0, APFloat(APFloat::IEEEdouble, "0x0.p1").convertToDouble());
687 EXPECT_EQ(+0.0, APFloat(APFloat::IEEEdouble, "+0x0.p1").convertToDouble());
688 EXPECT_EQ(-0.0, APFloat(APFloat::IEEEdouble, "-0x0.p1").convertToDouble());
690 EXPECT_EQ( 0.0, APFloat(APFloat::IEEEdouble, "0x0.p+1").convertToDouble());
691 EXPECT_EQ(+0.0, APFloat(APFloat::IEEEdouble, "+0x0.p+1").convertToDouble());
692 EXPECT_EQ(-0.0, APFloat(APFloat::IEEEdouble, "-0x0.p+1").convertToDouble());
694 EXPECT_EQ( 0.0, APFloat(APFloat::IEEEdouble, "0x0.p-1").convertToDouble());
695 EXPECT_EQ(+0.0, APFloat(APFloat::IEEEdouble, "+0x0.p-1").convertToDouble());
696 EXPECT_EQ(-0.0, APFloat(APFloat::IEEEdouble, "-0x0.p-1").convertToDouble());
699 EXPECT_EQ( 0.0, APFloat(APFloat::IEEEdouble, "0x.0p1").convertToDouble());
700 EXPECT_EQ(+0.0, APFloat(APFloat::IEEEdouble, "+0x.0p1").convertToDouble());
701 EXPECT_EQ(-0.0, APFloat(APFloat::IEEEdouble, "-0x.0p1").convertToDouble());
703 EXPECT_EQ( 0.0, APFloat(APFloat::IEEEdouble, "0x.0p+1").convertToDouble());
704 EXPECT_EQ(+0.0, APFloat(APFloat::IEEEdouble, "+0x.0p+1").convertToDouble());
705 EXPECT_EQ(-0.0, APFloat(APFloat::IEEEdouble, "-0x.0p+1").convertToDouble());
707 EXPECT_EQ( 0.0, APFloat(APFloat::IEEEdouble, "0x.0p-1").convertToDouble());
708 EXPECT_EQ(+0.0, APFloat(APFloat::IEEEdouble, "+0x.0p-1").convertToDouble());
709 EXPECT_EQ(-0.0, APFloat(APFloat::IEEEdouble, "-0x.0p-1").convertToDouble());
712 EXPECT_EQ( 0.0, APFloat(APFloat::IEEEdouble, "0x0.0p1").convertToDouble());
713 EXPECT_EQ(+0.0, APFloat(APFloat::IEEEdouble, "+0x0.0p1").convertToDouble());
714 EXPECT_EQ(-0.0, APFloat(APFloat::IEEEdouble, "-0x0.0p1").convertToDouble());
716 EXPECT_EQ( 0.0, APFloat(APFloat::IEEEdouble, "0x0.0p+1").convertToDouble());
717 EXPECT_EQ(+0.0, APFloat(APFloat::IEEEdouble, "+0x0.0p+1").convertToDouble());
718 EXPECT_EQ(-0.0, APFloat(APFloat::IEEEdouble, "-0x0.0p+1").convertToDouble());
720 EXPECT_EQ( 0.0, APFloat(APFloat::IEEEdouble, "0x0.0p-1").convertToDouble());
721 EXPECT_EQ(+0.0, APFloat(APFloat::IEEEdouble, "+0x0.0p-1").convertToDouble());
722 EXPECT_EQ(-0.0, APFloat(APFloat::IEEEdouble, "-0x0.0p-1").convertToDouble());
725 EXPECT_EQ( 0.0, APFloat(APFloat::IEEEdouble, "0x00000.p1").convertToDouble());
726 EXPECT_EQ( 0.0, APFloat(APFloat::IEEEdouble, "0x0000.00000p1").convertToDouble());
727 EXPECT_EQ( 0.0, APFloat(APFloat::IEEEdouble, "0x.00000p1").convertToDouble());
728 EXPECT_EQ( 0.0, APFloat(APFloat::IEEEdouble, "0x0.p1").convertToDouble());
729 EXPECT_EQ( 0.0, APFloat(APFloat::IEEEdouble, "0x0p1234").convertToDouble());
730 EXPECT_EQ(-0.0, APFloat(APFloat::IEEEdouble, "-0x0p1234").convertToDouble());
731 EXPECT_EQ( 0.0, APFloat(APFloat::IEEEdouble, "0x00000.p1234").convertToDouble());
732 EXPECT_EQ( 0.0, APFloat(APFloat::IEEEdouble, "0x0000.00000p1234").convertToDouble());
733 EXPECT_EQ( 0.0, APFloat(APFloat::IEEEdouble, "0x.00000p1234").convertToDouble());
734 EXPECT_EQ( 0.0, APFloat(APFloat::IEEEdouble, "0x0.p1234").convertToDouble());
737 TEST(APFloatTest, fromDecimalString) {
738 EXPECT_EQ(1.0, APFloat(APFloat::IEEEdouble, "1").convertToDouble());
739 EXPECT_EQ(2.0, APFloat(APFloat::IEEEdouble, "2.").convertToDouble());
740 EXPECT_EQ(0.5, APFloat(APFloat::IEEEdouble, ".5").convertToDouble());
741 EXPECT_EQ(1.0, APFloat(APFloat::IEEEdouble, "1.0").convertToDouble());
742 EXPECT_EQ(-2.0, APFloat(APFloat::IEEEdouble, "-2").convertToDouble());
743 EXPECT_EQ(-4.0, APFloat(APFloat::IEEEdouble, "-4.").convertToDouble());
744 EXPECT_EQ(-0.5, APFloat(APFloat::IEEEdouble, "-.5").convertToDouble());
745 EXPECT_EQ(-1.5, APFloat(APFloat::IEEEdouble, "-1.5").convertToDouble());
746 EXPECT_EQ(1.25e12, APFloat(APFloat::IEEEdouble, "1.25e12").convertToDouble());
747 EXPECT_EQ(1.25e+12, APFloat(APFloat::IEEEdouble, "1.25e+12").convertToDouble());
748 EXPECT_EQ(1.25e-12, APFloat(APFloat::IEEEdouble, "1.25e-12").convertToDouble());
749 EXPECT_EQ(1024.0, APFloat(APFloat::IEEEdouble, "1024.").convertToDouble());
750 EXPECT_EQ(1024.05, APFloat(APFloat::IEEEdouble, "1024.05000").convertToDouble());
751 EXPECT_EQ(0.05, APFloat(APFloat::IEEEdouble, ".05000").convertToDouble());
752 EXPECT_EQ(2.0, APFloat(APFloat::IEEEdouble, "2.").convertToDouble());
753 EXPECT_EQ(2.0e2, APFloat(APFloat::IEEEdouble, "2.e2").convertToDouble());
754 EXPECT_EQ(2.0e+2, APFloat(APFloat::IEEEdouble, "2.e+2").convertToDouble());
755 EXPECT_EQ(2.0e-2, APFloat(APFloat::IEEEdouble, "2.e-2").convertToDouble());
756 EXPECT_EQ(2.05e2, APFloat(APFloat::IEEEdouble, "002.05000e2").convertToDouble());
757 EXPECT_EQ(2.05e+2, APFloat(APFloat::IEEEdouble, "002.05000e+2").convertToDouble());
758 EXPECT_EQ(2.05e-2, APFloat(APFloat::IEEEdouble, "002.05000e-2").convertToDouble());
759 EXPECT_EQ(2.05e12, APFloat(APFloat::IEEEdouble, "002.05000e12").convertToDouble());
760 EXPECT_EQ(2.05e+12, APFloat(APFloat::IEEEdouble, "002.05000e+12").convertToDouble());
761 EXPECT_EQ(2.05e-12, APFloat(APFloat::IEEEdouble, "002.05000e-12").convertToDouble());
763 // These are "carefully selected" to overflow the fast log-base
764 // calculations in APFloat.cpp
765 EXPECT_TRUE(APFloat(APFloat::IEEEdouble, "99e99999").isInfinity());
766 EXPECT_TRUE(APFloat(APFloat::IEEEdouble, "-99e99999").isInfinity());
767 EXPECT_TRUE(APFloat(APFloat::IEEEdouble, "1e-99999").isPosZero());
768 EXPECT_TRUE(APFloat(APFloat::IEEEdouble, "-1e-99999").isNegZero());
771 TEST(APFloatTest, fromHexadecimalString) {
772 EXPECT_EQ( 1.0, APFloat(APFloat::IEEEdouble, "0x1p0").convertToDouble());
773 EXPECT_EQ(+1.0, APFloat(APFloat::IEEEdouble, "+0x1p0").convertToDouble());
774 EXPECT_EQ(-1.0, APFloat(APFloat::IEEEdouble, "-0x1p0").convertToDouble());
776 EXPECT_EQ( 1.0, APFloat(APFloat::IEEEdouble, "0x1p+0").convertToDouble());
777 EXPECT_EQ(+1.0, APFloat(APFloat::IEEEdouble, "+0x1p+0").convertToDouble());
778 EXPECT_EQ(-1.0, APFloat(APFloat::IEEEdouble, "-0x1p+0").convertToDouble());
780 EXPECT_EQ( 1.0, APFloat(APFloat::IEEEdouble, "0x1p-0").convertToDouble());
781 EXPECT_EQ(+1.0, APFloat(APFloat::IEEEdouble, "+0x1p-0").convertToDouble());
782 EXPECT_EQ(-1.0, APFloat(APFloat::IEEEdouble, "-0x1p-0").convertToDouble());
785 EXPECT_EQ( 2.0, APFloat(APFloat::IEEEdouble, "0x1p1").convertToDouble());
786 EXPECT_EQ(+2.0, APFloat(APFloat::IEEEdouble, "+0x1p1").convertToDouble());
787 EXPECT_EQ(-2.0, APFloat(APFloat::IEEEdouble, "-0x1p1").convertToDouble());
789 EXPECT_EQ( 2.0, APFloat(APFloat::IEEEdouble, "0x1p+1").convertToDouble());
790 EXPECT_EQ(+2.0, APFloat(APFloat::IEEEdouble, "+0x1p+1").convertToDouble());
791 EXPECT_EQ(-2.0, APFloat(APFloat::IEEEdouble, "-0x1p+1").convertToDouble());
793 EXPECT_EQ( 0.5, APFloat(APFloat::IEEEdouble, "0x1p-1").convertToDouble());
794 EXPECT_EQ(+0.5, APFloat(APFloat::IEEEdouble, "+0x1p-1").convertToDouble());
795 EXPECT_EQ(-0.5, APFloat(APFloat::IEEEdouble, "-0x1p-1").convertToDouble());
798 EXPECT_EQ( 3.0, APFloat(APFloat::IEEEdouble, "0x1.8p1").convertToDouble());
799 EXPECT_EQ(+3.0, APFloat(APFloat::IEEEdouble, "+0x1.8p1").convertToDouble());
800 EXPECT_EQ(-3.0, APFloat(APFloat::IEEEdouble, "-0x1.8p1").convertToDouble());
802 EXPECT_EQ( 3.0, APFloat(APFloat::IEEEdouble, "0x1.8p+1").convertToDouble());
803 EXPECT_EQ(+3.0, APFloat(APFloat::IEEEdouble, "+0x1.8p+1").convertToDouble());
804 EXPECT_EQ(-3.0, APFloat(APFloat::IEEEdouble, "-0x1.8p+1").convertToDouble());
806 EXPECT_EQ( 0.75, APFloat(APFloat::IEEEdouble, "0x1.8p-1").convertToDouble());
807 EXPECT_EQ(+0.75, APFloat(APFloat::IEEEdouble, "+0x1.8p-1").convertToDouble());
808 EXPECT_EQ(-0.75, APFloat(APFloat::IEEEdouble, "-0x1.8p-1").convertToDouble());
811 EXPECT_EQ( 8192.0, APFloat(APFloat::IEEEdouble, "0x1000.000p1").convertToDouble());
812 EXPECT_EQ(+8192.0, APFloat(APFloat::IEEEdouble, "+0x1000.000p1").convertToDouble());
813 EXPECT_EQ(-8192.0, APFloat(APFloat::IEEEdouble, "-0x1000.000p1").convertToDouble());
815 EXPECT_EQ( 8192.0, APFloat(APFloat::IEEEdouble, "0x1000.000p+1").convertToDouble());
816 EXPECT_EQ(+8192.0, APFloat(APFloat::IEEEdouble, "+0x1000.000p+1").convertToDouble());
817 EXPECT_EQ(-8192.0, APFloat(APFloat::IEEEdouble, "-0x1000.000p+1").convertToDouble());
819 EXPECT_EQ( 2048.0, APFloat(APFloat::IEEEdouble, "0x1000.000p-1").convertToDouble());
820 EXPECT_EQ(+2048.0, APFloat(APFloat::IEEEdouble, "+0x1000.000p-1").convertToDouble());
821 EXPECT_EQ(-2048.0, APFloat(APFloat::IEEEdouble, "-0x1000.000p-1").convertToDouble());
824 EXPECT_EQ( 8192.0, APFloat(APFloat::IEEEdouble, "0x1000p1").convertToDouble());
825 EXPECT_EQ(+8192.0, APFloat(APFloat::IEEEdouble, "+0x1000p1").convertToDouble());
826 EXPECT_EQ(-8192.0, APFloat(APFloat::IEEEdouble, "-0x1000p1").convertToDouble());
828 EXPECT_EQ( 8192.0, APFloat(APFloat::IEEEdouble, "0x1000p+1").convertToDouble());
829 EXPECT_EQ(+8192.0, APFloat(APFloat::IEEEdouble, "+0x1000p+1").convertToDouble());
830 EXPECT_EQ(-8192.0, APFloat(APFloat::IEEEdouble, "-0x1000p+1").convertToDouble());
832 EXPECT_EQ( 2048.0, APFloat(APFloat::IEEEdouble, "0x1000p-1").convertToDouble());
833 EXPECT_EQ(+2048.0, APFloat(APFloat::IEEEdouble, "+0x1000p-1").convertToDouble());
834 EXPECT_EQ(-2048.0, APFloat(APFloat::IEEEdouble, "-0x1000p-1").convertToDouble());
837 EXPECT_EQ( 16384.0, APFloat(APFloat::IEEEdouble, "0x10p10").convertToDouble());
838 EXPECT_EQ(+16384.0, APFloat(APFloat::IEEEdouble, "+0x10p10").convertToDouble());
839 EXPECT_EQ(-16384.0, APFloat(APFloat::IEEEdouble, "-0x10p10").convertToDouble());
841 EXPECT_EQ( 16384.0, APFloat(APFloat::IEEEdouble, "0x10p+10").convertToDouble());
842 EXPECT_EQ(+16384.0, APFloat(APFloat::IEEEdouble, "+0x10p+10").convertToDouble());
843 EXPECT_EQ(-16384.0, APFloat(APFloat::IEEEdouble, "-0x10p+10").convertToDouble());
845 EXPECT_EQ( 0.015625, APFloat(APFloat::IEEEdouble, "0x10p-10").convertToDouble());
846 EXPECT_EQ(+0.015625, APFloat(APFloat::IEEEdouble, "+0x10p-10").convertToDouble());
847 EXPECT_EQ(-0.015625, APFloat(APFloat::IEEEdouble, "-0x10p-10").convertToDouble());
849 EXPECT_EQ(1.0625, APFloat(APFloat::IEEEdouble, "0x1.1p0").convertToDouble());
850 EXPECT_EQ(1.0, APFloat(APFloat::IEEEdouble, "0x1p0").convertToDouble());
852 EXPECT_EQ(2.71828, convertToDoubleFromString("2.71828"));
855 TEST(APFloatTest, toString) {
856 ASSERT_EQ("10", convertToString(10.0, 6, 3));
857 ASSERT_EQ("1.0E+1", convertToString(10.0, 6, 0));
858 ASSERT_EQ("10100", convertToString(1.01E+4, 5, 2));
859 ASSERT_EQ("1.01E+4", convertToString(1.01E+4, 4, 2));
860 ASSERT_EQ("1.01E+4", convertToString(1.01E+4, 5, 1));
861 ASSERT_EQ("0.0101", convertToString(1.01E-2, 5, 2));
862 ASSERT_EQ("0.0101", convertToString(1.01E-2, 4, 2));
863 ASSERT_EQ("1.01E-2", convertToString(1.01E-2, 5, 1));
864 ASSERT_EQ("0.7853981633974483", convertToString(0.78539816339744830961, 0, 3));
865 ASSERT_EQ("4.940656458412465E-324", convertToString(4.9406564584124654e-324, 0, 3));
866 ASSERT_EQ("873.1834", convertToString(873.1834, 0, 1));
867 ASSERT_EQ("8.731834E+2", convertToString(873.1834, 0, 0));
870 TEST(APFloatTest, toInteger) {
871 bool isExact = false;
872 APSInt result(5, /*isUnsigned=*/true);
874 EXPECT_EQ(APFloat::opOK,
875 APFloat(APFloat::IEEEdouble, "10")
876 .convertToInteger(result, APFloat::rmTowardZero, &isExact));
877 EXPECT_TRUE(isExact);
878 EXPECT_EQ(APSInt(APInt(5, 10), true), result);
880 EXPECT_EQ(APFloat::opInvalidOp,
881 APFloat(APFloat::IEEEdouble, "-10")
882 .convertToInteger(result, APFloat::rmTowardZero, &isExact));
883 EXPECT_FALSE(isExact);
884 EXPECT_EQ(APSInt::getMinValue(5, true), result);
886 EXPECT_EQ(APFloat::opInvalidOp,
887 APFloat(APFloat::IEEEdouble, "32")
888 .convertToInteger(result, APFloat::rmTowardZero, &isExact));
889 EXPECT_FALSE(isExact);
890 EXPECT_EQ(APSInt::getMaxValue(5, true), result);
892 EXPECT_EQ(APFloat::opInexact,
893 APFloat(APFloat::IEEEdouble, "7.9")
894 .convertToInteger(result, APFloat::rmTowardZero, &isExact));
895 EXPECT_FALSE(isExact);
896 EXPECT_EQ(APSInt(APInt(5, 7), true), result);
898 result.setIsUnsigned(false);
899 EXPECT_EQ(APFloat::opOK,
900 APFloat(APFloat::IEEEdouble, "-10")
901 .convertToInteger(result, APFloat::rmTowardZero, &isExact));
902 EXPECT_TRUE(isExact);
903 EXPECT_EQ(APSInt(APInt(5, -10, true), false), result);
905 EXPECT_EQ(APFloat::opInvalidOp,
906 APFloat(APFloat::IEEEdouble, "-17")
907 .convertToInteger(result, APFloat::rmTowardZero, &isExact));
908 EXPECT_FALSE(isExact);
909 EXPECT_EQ(APSInt::getMinValue(5, false), result);
911 EXPECT_EQ(APFloat::opInvalidOp,
912 APFloat(APFloat::IEEEdouble, "16")
913 .convertToInteger(result, APFloat::rmTowardZero, &isExact));
914 EXPECT_FALSE(isExact);
915 EXPECT_EQ(APSInt::getMaxValue(5, false), result);
918 static APInt nanbits(const fltSemantics &Sem,
919 bool SNaN, bool Negative, uint64_t fill) {
920 APInt apfill(64, fill);
922 return APFloat::getSNaN(Sem, Negative, &apfill).bitcastToAPInt();
924 return APFloat::getQNaN(Sem, Negative, &apfill).bitcastToAPInt();
927 TEST(APFloatTest, makeNaN) {
928 ASSERT_EQ(0x7fc00000, nanbits(APFloat::IEEEsingle, false, false, 0));
929 ASSERT_EQ(0xffc00000, nanbits(APFloat::IEEEsingle, false, true, 0));
930 ASSERT_EQ(0x7fc0ae72, nanbits(APFloat::IEEEsingle, false, false, 0xae72));
931 ASSERT_EQ(0x7fffae72, nanbits(APFloat::IEEEsingle, false, false, 0xffffae72));
932 ASSERT_EQ(0x7fa00000, nanbits(APFloat::IEEEsingle, true, false, 0));
933 ASSERT_EQ(0xffa00000, nanbits(APFloat::IEEEsingle, true, true, 0));
934 ASSERT_EQ(0x7f80ae72, nanbits(APFloat::IEEEsingle, true, false, 0xae72));
935 ASSERT_EQ(0x7fbfae72, nanbits(APFloat::IEEEsingle, true, false, 0xffffae72));
937 ASSERT_EQ(0x7ff8000000000000ULL, nanbits(APFloat::IEEEdouble, false, false, 0));
938 ASSERT_EQ(0xfff8000000000000ULL, nanbits(APFloat::IEEEdouble, false, true, 0));
939 ASSERT_EQ(0x7ff800000000ae72ULL, nanbits(APFloat::IEEEdouble, false, false, 0xae72));
940 ASSERT_EQ(0x7fffffffffffae72ULL, nanbits(APFloat::IEEEdouble, false, false, 0xffffffffffffae72ULL));
941 ASSERT_EQ(0x7ff4000000000000ULL, nanbits(APFloat::IEEEdouble, true, false, 0));
942 ASSERT_EQ(0xfff4000000000000ULL, nanbits(APFloat::IEEEdouble, true, true, 0));
943 ASSERT_EQ(0x7ff000000000ae72ULL, nanbits(APFloat::IEEEdouble, true, false, 0xae72));
944 ASSERT_EQ(0x7ff7ffffffffae72ULL, nanbits(APFloat::IEEEdouble, true, false, 0xffffffffffffae72ULL));
947 #ifdef GTEST_HAS_DEATH_TEST
949 TEST(APFloatTest, SemanticsDeath) {
950 EXPECT_DEATH(APFloat(APFloat::IEEEsingle, 0.0f).convertToDouble(), "Float semantics are not IEEEdouble");
951 EXPECT_DEATH(APFloat(APFloat::IEEEdouble, 0.0 ).convertToFloat(), "Float semantics are not IEEEsingle");
954 TEST(APFloatTest, StringDecimalDeath) {
955 EXPECT_DEATH(APFloat(APFloat::IEEEdouble, ""), "Invalid string length");
956 EXPECT_DEATH(APFloat(APFloat::IEEEdouble, "+"), "String has no digits");
957 EXPECT_DEATH(APFloat(APFloat::IEEEdouble, "-"), "String has no digits");
959 EXPECT_DEATH(APFloat(APFloat::IEEEdouble, StringRef("\0", 1)), "Invalid character in significand");
960 EXPECT_DEATH(APFloat(APFloat::IEEEdouble, StringRef("1\0", 2)), "Invalid character in significand");
961 EXPECT_DEATH(APFloat(APFloat::IEEEdouble, StringRef("1\02", 3)), "Invalid character in significand");
962 EXPECT_DEATH(APFloat(APFloat::IEEEdouble, StringRef("1\02e1", 5)), "Invalid character in significand");
963 EXPECT_DEATH(APFloat(APFloat::IEEEdouble, StringRef("1e\0", 3)), "Invalid character in exponent");
964 EXPECT_DEATH(APFloat(APFloat::IEEEdouble, StringRef("1e1\0", 4)), "Invalid character in exponent");
965 EXPECT_DEATH(APFloat(APFloat::IEEEdouble, StringRef("1e1\02", 5)), "Invalid character in exponent");
967 EXPECT_DEATH(APFloat(APFloat::IEEEdouble, "1.0f"), "Invalid character in significand");
969 EXPECT_DEATH(APFloat(APFloat::IEEEdouble, ".."), "String contains multiple dots");
970 EXPECT_DEATH(APFloat(APFloat::IEEEdouble, "..0"), "String contains multiple dots");
971 EXPECT_DEATH(APFloat(APFloat::IEEEdouble, "1.0.0"), "String contains multiple dots");
974 TEST(APFloatTest, StringDecimalSignificandDeath) {
975 EXPECT_DEATH(APFloat(APFloat::IEEEdouble, "."), "Significand has no digits");
976 EXPECT_DEATH(APFloat(APFloat::IEEEdouble, "+."), "Significand has no digits");
977 EXPECT_DEATH(APFloat(APFloat::IEEEdouble, "-."), "Significand has no digits");
980 EXPECT_DEATH(APFloat(APFloat::IEEEdouble, "e"), "Significand has no digits");
981 EXPECT_DEATH(APFloat(APFloat::IEEEdouble, "+e"), "Significand has no digits");
982 EXPECT_DEATH(APFloat(APFloat::IEEEdouble, "-e"), "Significand has no digits");
984 EXPECT_DEATH(APFloat(APFloat::IEEEdouble, "e1"), "Significand has no digits");
985 EXPECT_DEATH(APFloat(APFloat::IEEEdouble, "+e1"), "Significand has no digits");
986 EXPECT_DEATH(APFloat(APFloat::IEEEdouble, "-e1"), "Significand has no digits");
988 EXPECT_DEATH(APFloat(APFloat::IEEEdouble, ".e1"), "Significand has no digits");
989 EXPECT_DEATH(APFloat(APFloat::IEEEdouble, "+.e1"), "Significand has no digits");
990 EXPECT_DEATH(APFloat(APFloat::IEEEdouble, "-.e1"), "Significand has no digits");
993 EXPECT_DEATH(APFloat(APFloat::IEEEdouble, ".e"), "Significand has no digits");
994 EXPECT_DEATH(APFloat(APFloat::IEEEdouble, "+.e"), "Significand has no digits");
995 EXPECT_DEATH(APFloat(APFloat::IEEEdouble, "-.e"), "Significand has no digits");
998 TEST(APFloatTest, StringDecimalExponentDeath) {
999 EXPECT_DEATH(APFloat(APFloat::IEEEdouble, "1e"), "Exponent has no digits");
1000 EXPECT_DEATH(APFloat(APFloat::IEEEdouble, "+1e"), "Exponent has no digits");
1001 EXPECT_DEATH(APFloat(APFloat::IEEEdouble, "-1e"), "Exponent has no digits");
1003 EXPECT_DEATH(APFloat(APFloat::IEEEdouble, "1.e"), "Exponent has no digits");
1004 EXPECT_DEATH(APFloat(APFloat::IEEEdouble, "+1.e"), "Exponent has no digits");
1005 EXPECT_DEATH(APFloat(APFloat::IEEEdouble, "-1.e"), "Exponent has no digits");
1007 EXPECT_DEATH(APFloat(APFloat::IEEEdouble, ".1e"), "Exponent has no digits");
1008 EXPECT_DEATH(APFloat(APFloat::IEEEdouble, "+.1e"), "Exponent has no digits");
1009 EXPECT_DEATH(APFloat(APFloat::IEEEdouble, "-.1e"), "Exponent has no digits");
1011 EXPECT_DEATH(APFloat(APFloat::IEEEdouble, "1.1e"), "Exponent has no digits");
1012 EXPECT_DEATH(APFloat(APFloat::IEEEdouble, "+1.1e"), "Exponent has no digits");
1013 EXPECT_DEATH(APFloat(APFloat::IEEEdouble, "-1.1e"), "Exponent has no digits");
1016 EXPECT_DEATH(APFloat(APFloat::IEEEdouble, "1e+"), "Exponent has no digits");
1017 EXPECT_DEATH(APFloat(APFloat::IEEEdouble, "1e-"), "Exponent has no digits");
1019 EXPECT_DEATH(APFloat(APFloat::IEEEdouble, ".1e"), "Exponent has no digits");
1020 EXPECT_DEATH(APFloat(APFloat::IEEEdouble, ".1e+"), "Exponent has no digits");
1021 EXPECT_DEATH(APFloat(APFloat::IEEEdouble, ".1e-"), "Exponent has no digits");
1023 EXPECT_DEATH(APFloat(APFloat::IEEEdouble, "1.0e"), "Exponent has no digits");
1024 EXPECT_DEATH(APFloat(APFloat::IEEEdouble, "1.0e+"), "Exponent has no digits");
1025 EXPECT_DEATH(APFloat(APFloat::IEEEdouble, "1.0e-"), "Exponent has no digits");
1028 TEST(APFloatTest, StringHexadecimalDeath) {
1029 EXPECT_DEATH(APFloat(APFloat::IEEEdouble, "0x"), "Invalid string");
1030 EXPECT_DEATH(APFloat(APFloat::IEEEdouble, "+0x"), "Invalid string");
1031 EXPECT_DEATH(APFloat(APFloat::IEEEdouble, "-0x"), "Invalid string");
1033 EXPECT_DEATH(APFloat(APFloat::IEEEdouble, "0x0"), "Hex strings require an exponent");
1034 EXPECT_DEATH(APFloat(APFloat::IEEEdouble, "+0x0"), "Hex strings require an exponent");
1035 EXPECT_DEATH(APFloat(APFloat::IEEEdouble, "-0x0"), "Hex strings require an exponent");
1037 EXPECT_DEATH(APFloat(APFloat::IEEEdouble, "0x0."), "Hex strings require an exponent");
1038 EXPECT_DEATH(APFloat(APFloat::IEEEdouble, "+0x0."), "Hex strings require an exponent");
1039 EXPECT_DEATH(APFloat(APFloat::IEEEdouble, "-0x0."), "Hex strings require an exponent");
1041 EXPECT_DEATH(APFloat(APFloat::IEEEdouble, "0x.0"), "Hex strings require an exponent");
1042 EXPECT_DEATH(APFloat(APFloat::IEEEdouble, "+0x.0"), "Hex strings require an exponent");
1043 EXPECT_DEATH(APFloat(APFloat::IEEEdouble, "-0x.0"), "Hex strings require an exponent");
1045 EXPECT_DEATH(APFloat(APFloat::IEEEdouble, "0x0.0"), "Hex strings require an exponent");
1046 EXPECT_DEATH(APFloat(APFloat::IEEEdouble, "+0x0.0"), "Hex strings require an exponent");
1047 EXPECT_DEATH(APFloat(APFloat::IEEEdouble, "-0x0.0"), "Hex strings require an exponent");
1049 EXPECT_DEATH(APFloat(APFloat::IEEEdouble, StringRef("0x\0", 3)), "Invalid character in significand");
1050 EXPECT_DEATH(APFloat(APFloat::IEEEdouble, StringRef("0x1\0", 4)), "Invalid character in significand");
1051 EXPECT_DEATH(APFloat(APFloat::IEEEdouble, StringRef("0x1\02", 5)), "Invalid character in significand");
1052 EXPECT_DEATH(APFloat(APFloat::IEEEdouble, StringRef("0x1\02p1", 7)), "Invalid character in significand");
1053 EXPECT_DEATH(APFloat(APFloat::IEEEdouble, StringRef("0x1p\0", 5)), "Invalid character in exponent");
1054 EXPECT_DEATH(APFloat(APFloat::IEEEdouble, StringRef("0x1p1\0", 6)), "Invalid character in exponent");
1055 EXPECT_DEATH(APFloat(APFloat::IEEEdouble, StringRef("0x1p1\02", 7)), "Invalid character in exponent");
1057 EXPECT_DEATH(APFloat(APFloat::IEEEdouble, "0x1p0f"), "Invalid character in exponent");
1059 EXPECT_DEATH(APFloat(APFloat::IEEEdouble, "0x..p1"), "String contains multiple dots");
1060 EXPECT_DEATH(APFloat(APFloat::IEEEdouble, "0x..0p1"), "String contains multiple dots");
1061 EXPECT_DEATH(APFloat(APFloat::IEEEdouble, "0x1.0.0p1"), "String contains multiple dots");
1064 TEST(APFloatTest, StringHexadecimalSignificandDeath) {
1065 EXPECT_DEATH(APFloat(APFloat::IEEEdouble, "0x."), "Significand has no digits");
1066 EXPECT_DEATH(APFloat(APFloat::IEEEdouble, "+0x."), "Significand has no digits");
1067 EXPECT_DEATH(APFloat(APFloat::IEEEdouble, "-0x."), "Significand has no digits");
1069 EXPECT_DEATH(APFloat(APFloat::IEEEdouble, "0xp"), "Significand has no digits");
1070 EXPECT_DEATH(APFloat(APFloat::IEEEdouble, "+0xp"), "Significand has no digits");
1071 EXPECT_DEATH(APFloat(APFloat::IEEEdouble, "-0xp"), "Significand has no digits");
1073 EXPECT_DEATH(APFloat(APFloat::IEEEdouble, "0xp+"), "Significand has no digits");
1074 EXPECT_DEATH(APFloat(APFloat::IEEEdouble, "+0xp+"), "Significand has no digits");
1075 EXPECT_DEATH(APFloat(APFloat::IEEEdouble, "-0xp+"), "Significand has no digits");
1077 EXPECT_DEATH(APFloat(APFloat::IEEEdouble, "0xp-"), "Significand has no digits");
1078 EXPECT_DEATH(APFloat(APFloat::IEEEdouble, "+0xp-"), "Significand has no digits");
1079 EXPECT_DEATH(APFloat(APFloat::IEEEdouble, "-0xp-"), "Significand has no digits");
1082 EXPECT_DEATH(APFloat(APFloat::IEEEdouble, "0x.p"), "Significand has no digits");
1083 EXPECT_DEATH(APFloat(APFloat::IEEEdouble, "+0x.p"), "Significand has no digits");
1084 EXPECT_DEATH(APFloat(APFloat::IEEEdouble, "-0x.p"), "Significand has no digits");
1086 EXPECT_DEATH(APFloat(APFloat::IEEEdouble, "0x.p+"), "Significand has no digits");
1087 EXPECT_DEATH(APFloat(APFloat::IEEEdouble, "+0x.p+"), "Significand has no digits");
1088 EXPECT_DEATH(APFloat(APFloat::IEEEdouble, "-0x.p+"), "Significand has no digits");
1090 EXPECT_DEATH(APFloat(APFloat::IEEEdouble, "0x.p-"), "Significand has no digits");
1091 EXPECT_DEATH(APFloat(APFloat::IEEEdouble, "+0x.p-"), "Significand has no digits");
1092 EXPECT_DEATH(APFloat(APFloat::IEEEdouble, "-0x.p-"), "Significand has no digits");
1095 TEST(APFloatTest, StringHexadecimalExponentDeath) {
1096 EXPECT_DEATH(APFloat(APFloat::IEEEdouble, "0x1p"), "Exponent has no digits");
1097 EXPECT_DEATH(APFloat(APFloat::IEEEdouble, "+0x1p"), "Exponent has no digits");
1098 EXPECT_DEATH(APFloat(APFloat::IEEEdouble, "-0x1p"), "Exponent has no digits");
1100 EXPECT_DEATH(APFloat(APFloat::IEEEdouble, "0x1p+"), "Exponent has no digits");
1101 EXPECT_DEATH(APFloat(APFloat::IEEEdouble, "+0x1p+"), "Exponent has no digits");
1102 EXPECT_DEATH(APFloat(APFloat::IEEEdouble, "-0x1p+"), "Exponent has no digits");
1104 EXPECT_DEATH(APFloat(APFloat::IEEEdouble, "0x1p-"), "Exponent has no digits");
1105 EXPECT_DEATH(APFloat(APFloat::IEEEdouble, "+0x1p-"), "Exponent has no digits");
1106 EXPECT_DEATH(APFloat(APFloat::IEEEdouble, "-0x1p-"), "Exponent has no digits");
1109 EXPECT_DEATH(APFloat(APFloat::IEEEdouble, "0x1.p"), "Exponent has no digits");
1110 EXPECT_DEATH(APFloat(APFloat::IEEEdouble, "+0x1.p"), "Exponent has no digits");
1111 EXPECT_DEATH(APFloat(APFloat::IEEEdouble, "-0x1.p"), "Exponent has no digits");
1113 EXPECT_DEATH(APFloat(APFloat::IEEEdouble, "0x1.p+"), "Exponent has no digits");
1114 EXPECT_DEATH(APFloat(APFloat::IEEEdouble, "+0x1.p+"), "Exponent has no digits");
1115 EXPECT_DEATH(APFloat(APFloat::IEEEdouble, "-0x1.p+"), "Exponent has no digits");
1117 EXPECT_DEATH(APFloat(APFloat::IEEEdouble, "0x1.p-"), "Exponent has no digits");
1118 EXPECT_DEATH(APFloat(APFloat::IEEEdouble, "+0x1.p-"), "Exponent has no digits");
1119 EXPECT_DEATH(APFloat(APFloat::IEEEdouble, "-0x1.p-"), "Exponent has no digits");
1122 EXPECT_DEATH(APFloat(APFloat::IEEEdouble, "0x.1p"), "Exponent has no digits");
1123 EXPECT_DEATH(APFloat(APFloat::IEEEdouble, "+0x.1p"), "Exponent has no digits");
1124 EXPECT_DEATH(APFloat(APFloat::IEEEdouble, "-0x.1p"), "Exponent has no digits");
1126 EXPECT_DEATH(APFloat(APFloat::IEEEdouble, "0x.1p+"), "Exponent has no digits");
1127 EXPECT_DEATH(APFloat(APFloat::IEEEdouble, "+0x.1p+"), "Exponent has no digits");
1128 EXPECT_DEATH(APFloat(APFloat::IEEEdouble, "-0x.1p+"), "Exponent has no digits");
1130 EXPECT_DEATH(APFloat(APFloat::IEEEdouble, "0x.1p-"), "Exponent has no digits");
1131 EXPECT_DEATH(APFloat(APFloat::IEEEdouble, "+0x.1p-"), "Exponent has no digits");
1132 EXPECT_DEATH(APFloat(APFloat::IEEEdouble, "-0x.1p-"), "Exponent has no digits");
1135 EXPECT_DEATH(APFloat(APFloat::IEEEdouble, "0x1.1p"), "Exponent has no digits");
1136 EXPECT_DEATH(APFloat(APFloat::IEEEdouble, "+0x1.1p"), "Exponent has no digits");
1137 EXPECT_DEATH(APFloat(APFloat::IEEEdouble, "-0x1.1p"), "Exponent has no digits");
1139 EXPECT_DEATH(APFloat(APFloat::IEEEdouble, "0x1.1p+"), "Exponent has no digits");
1140 EXPECT_DEATH(APFloat(APFloat::IEEEdouble, "+0x1.1p+"), "Exponent has no digits");
1141 EXPECT_DEATH(APFloat(APFloat::IEEEdouble, "-0x1.1p+"), "Exponent has no digits");
1143 EXPECT_DEATH(APFloat(APFloat::IEEEdouble, "0x1.1p-"), "Exponent has no digits");
1144 EXPECT_DEATH(APFloat(APFloat::IEEEdouble, "+0x1.1p-"), "Exponent has no digits");
1145 EXPECT_DEATH(APFloat(APFloat::IEEEdouble, "-0x1.1p-"), "Exponent has no digits");
1150 TEST(APFloatTest, exactInverse) {
1153 // Trivial operation.
1154 EXPECT_TRUE(APFloat(2.0).getExactInverse(&inv));
1155 EXPECT_TRUE(inv.bitwiseIsEqual(APFloat(0.5)));
1156 EXPECT_TRUE(APFloat(2.0f).getExactInverse(&inv));
1157 EXPECT_TRUE(inv.bitwiseIsEqual(APFloat(0.5f)));
1158 EXPECT_TRUE(APFloat(APFloat::IEEEquad, "2.0").getExactInverse(&inv));
1159 EXPECT_TRUE(inv.bitwiseIsEqual(APFloat(APFloat::IEEEquad, "0.5")));
1160 EXPECT_TRUE(APFloat(APFloat::PPCDoubleDouble, "2.0").getExactInverse(&inv));
1161 EXPECT_TRUE(inv.bitwiseIsEqual(APFloat(APFloat::PPCDoubleDouble, "0.5")));
1162 EXPECT_TRUE(APFloat(APFloat::x87DoubleExtended, "2.0").getExactInverse(&inv));
1163 EXPECT_TRUE(inv.bitwiseIsEqual(APFloat(APFloat::x87DoubleExtended, "0.5")));
1166 EXPECT_TRUE(APFloat(1.17549435e-38f).getExactInverse(&inv));
1167 EXPECT_TRUE(inv.bitwiseIsEqual(APFloat(8.5070592e+37f)));
1169 // Large float, inverse is a denormal.
1170 EXPECT_FALSE(APFloat(1.7014118e38f).getExactInverse(0));
1172 EXPECT_FALSE(APFloat(0.0).getExactInverse(0));
1173 // Denormalized float
1174 EXPECT_FALSE(APFloat(1.40129846e-45f).getExactInverse(0));
1177 TEST(APFloatTest, roundToIntegral) {
1178 APFloat T(-0.5), S(3.14), R(APFloat::getLargest(APFloat::IEEEdouble)), P(0.0);
1181 P.roundToIntegral(APFloat::rmTowardZero);
1182 EXPECT_EQ(-0.0, P.convertToDouble());
1184 P.roundToIntegral(APFloat::rmTowardNegative);
1185 EXPECT_EQ(-1.0, P.convertToDouble());
1187 P.roundToIntegral(APFloat::rmTowardPositive);
1188 EXPECT_EQ(-0.0, P.convertToDouble());
1190 P.roundToIntegral(APFloat::rmNearestTiesToEven);
1191 EXPECT_EQ(-0.0, P.convertToDouble());
1194 P.roundToIntegral(APFloat::rmTowardZero);
1195 EXPECT_EQ(3.0, P.convertToDouble());
1197 P.roundToIntegral(APFloat::rmTowardNegative);
1198 EXPECT_EQ(3.0, P.convertToDouble());
1200 P.roundToIntegral(APFloat::rmTowardPositive);
1201 EXPECT_EQ(4.0, P.convertToDouble());
1203 P.roundToIntegral(APFloat::rmNearestTiesToEven);
1204 EXPECT_EQ(3.0, P.convertToDouble());
1207 P.roundToIntegral(APFloat::rmTowardZero);
1208 EXPECT_EQ(R.convertToDouble(), P.convertToDouble());
1210 P.roundToIntegral(APFloat::rmTowardNegative);
1211 EXPECT_EQ(R.convertToDouble(), P.convertToDouble());
1213 P.roundToIntegral(APFloat::rmTowardPositive);
1214 EXPECT_EQ(R.convertToDouble(), P.convertToDouble());
1216 P.roundToIntegral(APFloat::rmNearestTiesToEven);
1217 EXPECT_EQ(R.convertToDouble(), P.convertToDouble());
1219 P = APFloat::getZero(APFloat::IEEEdouble);
1220 P.roundToIntegral(APFloat::rmTowardZero);
1221 EXPECT_EQ(0.0, P.convertToDouble());
1222 P = APFloat::getZero(APFloat::IEEEdouble, true);
1223 P.roundToIntegral(APFloat::rmTowardZero);
1224 EXPECT_EQ(-0.0, P.convertToDouble());
1225 P = APFloat::getNaN(APFloat::IEEEdouble);
1226 P.roundToIntegral(APFloat::rmTowardZero);
1227 EXPECT_TRUE(IsNAN(P.convertToDouble()));
1228 P = APFloat::getInf(APFloat::IEEEdouble);
1229 P.roundToIntegral(APFloat::rmTowardZero);
1230 EXPECT_TRUE(IsInf(P.convertToDouble()) && P.convertToDouble() > 0.0);
1231 P = APFloat::getInf(APFloat::IEEEdouble, true);
1232 P.roundToIntegral(APFloat::rmTowardZero);
1233 EXPECT_TRUE(IsInf(P.convertToDouble()) && P.convertToDouble() < 0.0);
1237 TEST(APFloatTest, getLargest) {
1238 EXPECT_EQ(3.402823466e+38f, APFloat::getLargest(APFloat::IEEEsingle).convertToFloat());
1239 EXPECT_EQ(1.7976931348623158e+308, APFloat::getLargest(APFloat::IEEEdouble).convertToDouble());
1242 TEST(APFloatTest, getSmallest) {
1243 APFloat test = APFloat::getSmallest(APFloat::IEEEsingle, false);
1244 APFloat expected = APFloat(APFloat::IEEEsingle, "0x0.000002p-126");
1245 EXPECT_FALSE(test.isNegative());
1246 EXPECT_TRUE(test.isFiniteNonZero());
1247 EXPECT_TRUE(test.isDenormal());
1248 EXPECT_TRUE(test.bitwiseIsEqual(expected));
1250 test = APFloat::getSmallest(APFloat::IEEEsingle, true);
1251 expected = APFloat(APFloat::IEEEsingle, "-0x0.000002p-126");
1252 EXPECT_TRUE(test.isNegative());
1253 EXPECT_TRUE(test.isFiniteNonZero());
1254 EXPECT_TRUE(test.isDenormal());
1255 EXPECT_TRUE(test.bitwiseIsEqual(expected));
1257 test = APFloat::getSmallest(APFloat::IEEEquad, false);
1258 expected = APFloat(APFloat::IEEEquad, "0x0.0000000000000000000000000001p-16382");
1259 EXPECT_FALSE(test.isNegative());
1260 EXPECT_TRUE(test.isFiniteNonZero());
1261 EXPECT_TRUE(test.isDenormal());
1262 EXPECT_TRUE(test.bitwiseIsEqual(expected));
1264 test = APFloat::getSmallest(APFloat::IEEEquad, true);
1265 expected = APFloat(APFloat::IEEEquad, "-0x0.0000000000000000000000000001p-16382");
1266 EXPECT_TRUE(test.isNegative());
1267 EXPECT_TRUE(test.isFiniteNonZero());
1268 EXPECT_TRUE(test.isDenormal());
1269 EXPECT_TRUE(test.bitwiseIsEqual(expected));
1272 TEST(APFloatTest, getSmallestNormalized) {
1273 APFloat test = APFloat::getSmallestNormalized(APFloat::IEEEsingle, false);
1274 APFloat expected = APFloat(APFloat::IEEEsingle, "0x1p-126");
1275 EXPECT_FALSE(test.isNegative());
1276 EXPECT_TRUE(test.isFiniteNonZero());
1277 EXPECT_FALSE(test.isDenormal());
1278 EXPECT_TRUE(test.bitwiseIsEqual(expected));
1280 test = APFloat::getSmallestNormalized(APFloat::IEEEsingle, true);
1281 expected = APFloat(APFloat::IEEEsingle, "-0x1p-126");
1282 EXPECT_TRUE(test.isNegative());
1283 EXPECT_TRUE(test.isFiniteNonZero());
1284 EXPECT_FALSE(test.isDenormal());
1285 EXPECT_TRUE(test.bitwiseIsEqual(expected));
1287 test = APFloat::getSmallestNormalized(APFloat::IEEEquad, false);
1288 expected = APFloat(APFloat::IEEEquad, "0x1p-16382");
1289 EXPECT_FALSE(test.isNegative());
1290 EXPECT_TRUE(test.isFiniteNonZero());
1291 EXPECT_FALSE(test.isDenormal());
1292 EXPECT_TRUE(test.bitwiseIsEqual(expected));
1294 test = APFloat::getSmallestNormalized(APFloat::IEEEquad, true);
1295 expected = APFloat(APFloat::IEEEquad, "-0x1p-16382");
1296 EXPECT_TRUE(test.isNegative());
1297 EXPECT_TRUE(test.isFiniteNonZero());
1298 EXPECT_FALSE(test.isDenormal());
1299 EXPECT_TRUE(test.bitwiseIsEqual(expected));
1302 TEST(APFloatTest, getZero) {
1304 const fltSemantics *semantics;
1306 const unsigned long long bitPattern[2];
1307 const unsigned bitPatternLength;
1308 } const GetZeroTest[] = {
1309 { &APFloat::IEEEhalf, false, {0, 0}, 1},
1310 { &APFloat::IEEEhalf, true, {0x8000ULL, 0}, 1},
1311 { &APFloat::IEEEsingle, false, {0, 0}, 1},
1312 { &APFloat::IEEEsingle, true, {0x80000000ULL, 0}, 1},
1313 { &APFloat::IEEEdouble, false, {0, 0}, 1},
1314 { &APFloat::IEEEdouble, true, {0x8000000000000000ULL, 0}, 1},
1315 { &APFloat::IEEEquad, false, {0, 0}, 2},
1316 { &APFloat::IEEEquad, true, {0, 0x8000000000000000ULL}, 2},
1317 { &APFloat::PPCDoubleDouble, false, {0, 0}, 2},
1318 { &APFloat::PPCDoubleDouble, true, {0x8000000000000000ULL, 0}, 2},
1319 { &APFloat::x87DoubleExtended, false, {0, 0}, 2},
1320 { &APFloat::x87DoubleExtended, true, {0, 0x8000ULL}, 2},
1322 const unsigned NumGetZeroTests = 12;
1323 for (unsigned i = 0; i < NumGetZeroTests; ++i) {
1324 APFloat test = APFloat::getZero(*GetZeroTest[i].semantics,
1325 GetZeroTest[i].sign);
1326 const char *pattern = GetZeroTest[i].sign? "-0x0p+0" : "0x0p+0";
1327 APFloat expected = APFloat(*GetZeroTest[i].semantics,
1329 EXPECT_TRUE(test.isZero());
1330 EXPECT_TRUE(GetZeroTest[i].sign? test.isNegative() : !test.isNegative());
1331 EXPECT_TRUE(test.bitwiseIsEqual(expected));
1332 for (unsigned j = 0, je = GetZeroTest[i].bitPatternLength; j < je; ++j) {
1333 EXPECT_EQ(GetZeroTest[i].bitPattern[j],
1334 test.bitcastToAPInt().getRawData()[j]);
1339 TEST(APFloatTest, convert) {
1341 APFloat test(APFloat::IEEEdouble, "1.0");
1342 test.convert(APFloat::IEEEsingle, APFloat::rmNearestTiesToEven, &losesInfo);
1343 EXPECT_EQ(1.0f, test.convertToFloat());
1344 EXPECT_FALSE(losesInfo);
1346 test = APFloat(APFloat::x87DoubleExtended, "0x1p-53");
1347 test.add(APFloat(APFloat::x87DoubleExtended, "1.0"), APFloat::rmNearestTiesToEven);
1348 test.convert(APFloat::IEEEdouble, APFloat::rmNearestTiesToEven, &losesInfo);
1349 EXPECT_EQ(1.0, test.convertToDouble());
1350 EXPECT_TRUE(losesInfo);
1352 test = APFloat(APFloat::IEEEquad, "0x1p-53");
1353 test.add(APFloat(APFloat::IEEEquad, "1.0"), APFloat::rmNearestTiesToEven);
1354 test.convert(APFloat::IEEEdouble, APFloat::rmNearestTiesToEven, &losesInfo);
1355 EXPECT_EQ(1.0, test.convertToDouble());
1356 EXPECT_TRUE(losesInfo);
1358 test = APFloat(APFloat::x87DoubleExtended, "0xf.fffffffp+28");
1359 test.convert(APFloat::IEEEdouble, APFloat::rmNearestTiesToEven, &losesInfo);
1360 EXPECT_EQ(4294967295.0, test.convertToDouble());
1361 EXPECT_FALSE(losesInfo);
1363 test = APFloat::getSNaN(APFloat::IEEEsingle);
1364 APFloat X87SNaN = APFloat::getSNaN(APFloat::x87DoubleExtended);
1365 test.convert(APFloat::x87DoubleExtended, APFloat::rmNearestTiesToEven,
1367 EXPECT_TRUE(test.bitwiseIsEqual(X87SNaN));
1368 EXPECT_FALSE(losesInfo);
1370 test = APFloat::getQNaN(APFloat::IEEEsingle);
1371 APFloat X87QNaN = APFloat::getQNaN(APFloat::x87DoubleExtended);
1372 test.convert(APFloat::x87DoubleExtended, APFloat::rmNearestTiesToEven,
1374 EXPECT_TRUE(test.bitwiseIsEqual(X87QNaN));
1375 EXPECT_FALSE(losesInfo);
1377 test = APFloat::getSNaN(APFloat::x87DoubleExtended);
1378 test.convert(APFloat::x87DoubleExtended, APFloat::rmNearestTiesToEven,
1380 EXPECT_TRUE(test.bitwiseIsEqual(X87SNaN));
1381 EXPECT_FALSE(losesInfo);
1383 test = APFloat::getQNaN(APFloat::x87DoubleExtended);
1384 test.convert(APFloat::x87DoubleExtended, APFloat::rmNearestTiesToEven,
1386 EXPECT_TRUE(test.bitwiseIsEqual(X87QNaN));
1387 EXPECT_FALSE(losesInfo);
1390 TEST(APFloatTest, PPCDoubleDouble) {
1391 APFloat test(APFloat::PPCDoubleDouble, "1.0");
1392 EXPECT_EQ(0x3ff0000000000000ull, test.bitcastToAPInt().getRawData()[0]);
1393 EXPECT_EQ(0x0000000000000000ull, test.bitcastToAPInt().getRawData()[1]);
1395 test.divide(APFloat(APFloat::PPCDoubleDouble, "3.0"), APFloat::rmNearestTiesToEven);
1396 EXPECT_EQ(0x3fd5555555555555ull, test.bitcastToAPInt().getRawData()[0]);
1397 EXPECT_EQ(0x3c75555555555556ull, test.bitcastToAPInt().getRawData()[1]);
1400 test = APFloat(APFloat::PPCDoubleDouble, "1.79769313486231580793728971405301e+308");
1401 EXPECT_EQ(0x7fefffffffffffffull, test.bitcastToAPInt().getRawData()[0]);
1402 EXPECT_EQ(0x7c8ffffffffffffeull, test.bitcastToAPInt().getRawData()[1]);
1405 test = APFloat(APFloat::PPCDoubleDouble, "2.00416836000897277799610805135016e-292");
1406 EXPECT_EQ(0x0360000000000000ull, test.bitcastToAPInt().getRawData()[0]);
1407 EXPECT_EQ(0x0000000000000000ull, test.bitcastToAPInt().getRawData()[1]);
1409 test = APFloat(APFloat::PPCDoubleDouble, "1.0");
1410 test.add(APFloat(APFloat::PPCDoubleDouble, "0x1p-105"), APFloat::rmNearestTiesToEven);
1411 EXPECT_EQ(0x3ff0000000000000ull, test.bitcastToAPInt().getRawData()[0]);
1412 EXPECT_EQ(0x3960000000000000ull, test.bitcastToAPInt().getRawData()[1]);
1414 test = APFloat(APFloat::PPCDoubleDouble, "1.0");
1415 test.add(APFloat(APFloat::PPCDoubleDouble, "0x1p-106"), APFloat::rmNearestTiesToEven);
1416 EXPECT_EQ(0x3ff0000000000000ull, test.bitcastToAPInt().getRawData()[0]);
1418 // This is what we would expect with a true double-double implementation
1419 EXPECT_EQ(0x3950000000000000ull, test.bitcastToAPInt().getRawData()[1]);
1421 // This is what we get with our 106-bit mantissa approximation
1422 EXPECT_EQ(0x0000000000000000ull, test.bitcastToAPInt().getRawData()[1]);
1426 TEST(APFloatTest, isNegative) {
1427 APFloat t(APFloat::IEEEsingle, "0x1p+0");
1428 EXPECT_FALSE(t.isNegative());
1429 t = APFloat(APFloat::IEEEsingle, "-0x1p+0");
1430 EXPECT_TRUE(t.isNegative());
1432 EXPECT_FALSE(APFloat::getInf(APFloat::IEEEsingle, false).isNegative());
1433 EXPECT_TRUE(APFloat::getInf(APFloat::IEEEsingle, true).isNegative());
1435 EXPECT_FALSE(APFloat::getZero(APFloat::IEEEsingle, false).isNegative());
1436 EXPECT_TRUE(APFloat::getZero(APFloat::IEEEsingle, true).isNegative());
1438 EXPECT_FALSE(APFloat::getNaN(APFloat::IEEEsingle, false).isNegative());
1439 EXPECT_TRUE(APFloat::getNaN(APFloat::IEEEsingle, true).isNegative());
1441 EXPECT_FALSE(APFloat::getSNaN(APFloat::IEEEsingle, false).isNegative());
1442 EXPECT_TRUE(APFloat::getSNaN(APFloat::IEEEsingle, true).isNegative());
1445 TEST(APFloatTest, isNormal) {
1446 APFloat t(APFloat::IEEEsingle, "0x1p+0");
1447 EXPECT_TRUE(t.isNormal());
1449 EXPECT_FALSE(APFloat::getInf(APFloat::IEEEsingle, false).isNormal());
1450 EXPECT_FALSE(APFloat::getZero(APFloat::IEEEsingle, false).isNormal());
1451 EXPECT_FALSE(APFloat::getNaN(APFloat::IEEEsingle, false).isNormal());
1452 EXPECT_FALSE(APFloat::getSNaN(APFloat::IEEEsingle, false).isNormal());
1453 EXPECT_FALSE(APFloat(APFloat::IEEEsingle, "0x1p-149").isNormal());
1456 TEST(APFloatTest, isFinite) {
1457 APFloat t(APFloat::IEEEsingle, "0x1p+0");
1458 EXPECT_TRUE(t.isFinite());
1459 EXPECT_FALSE(APFloat::getInf(APFloat::IEEEsingle, false).isFinite());
1460 EXPECT_TRUE(APFloat::getZero(APFloat::IEEEsingle, false).isFinite());
1461 EXPECT_FALSE(APFloat::getNaN(APFloat::IEEEsingle, false).isFinite());
1462 EXPECT_FALSE(APFloat::getSNaN(APFloat::IEEEsingle, false).isFinite());
1463 EXPECT_TRUE(APFloat(APFloat::IEEEsingle, "0x1p-149").isFinite());
1466 TEST(APFloatTest, isInfinity) {
1467 APFloat t(APFloat::IEEEsingle, "0x1p+0");
1468 EXPECT_FALSE(t.isInfinity());
1469 EXPECT_TRUE(APFloat::getInf(APFloat::IEEEsingle, false).isInfinity());
1470 EXPECT_FALSE(APFloat::getZero(APFloat::IEEEsingle, false).isInfinity());
1471 EXPECT_FALSE(APFloat::getNaN(APFloat::IEEEsingle, false).isInfinity());
1472 EXPECT_FALSE(APFloat::getSNaN(APFloat::IEEEsingle, false).isInfinity());
1473 EXPECT_FALSE(APFloat(APFloat::IEEEsingle, "0x1p-149").isInfinity());
1476 TEST(APFloatTest, isNaN) {
1477 APFloat t(APFloat::IEEEsingle, "0x1p+0");
1478 EXPECT_FALSE(t.isNaN());
1479 EXPECT_FALSE(APFloat::getInf(APFloat::IEEEsingle, false).isNaN());
1480 EXPECT_FALSE(APFloat::getZero(APFloat::IEEEsingle, false).isNaN());
1481 EXPECT_TRUE(APFloat::getNaN(APFloat::IEEEsingle, false).isNaN());
1482 EXPECT_TRUE(APFloat::getSNaN(APFloat::IEEEsingle, false).isNaN());
1483 EXPECT_FALSE(APFloat(APFloat::IEEEsingle, "0x1p-149").isNaN());
1486 TEST(APFloatTest, isFiniteNonZero) {
1487 // Test positive/negative normal value.
1488 EXPECT_TRUE(APFloat(APFloat::IEEEsingle, "0x1p+0").isFiniteNonZero());
1489 EXPECT_TRUE(APFloat(APFloat::IEEEsingle, "-0x1p+0").isFiniteNonZero());
1491 // Test positive/negative denormal value.
1492 EXPECT_TRUE(APFloat(APFloat::IEEEsingle, "0x1p-149").isFiniteNonZero());
1493 EXPECT_TRUE(APFloat(APFloat::IEEEsingle, "-0x1p-149").isFiniteNonZero());
1495 // Test +/- Infinity.
1496 EXPECT_FALSE(APFloat::getInf(APFloat::IEEEsingle, false).isFiniteNonZero());
1497 EXPECT_FALSE(APFloat::getInf(APFloat::IEEEsingle, true).isFiniteNonZero());
1500 EXPECT_FALSE(APFloat::getZero(APFloat::IEEEsingle, false).isFiniteNonZero());
1501 EXPECT_FALSE(APFloat::getZero(APFloat::IEEEsingle, true).isFiniteNonZero());
1503 // Test +/- qNaN. +/- dont mean anything with qNaN but paranoia can't hurt in
1505 EXPECT_FALSE(APFloat::getNaN(APFloat::IEEEsingle, false).isFiniteNonZero());
1506 EXPECT_FALSE(APFloat::getNaN(APFloat::IEEEsingle, true).isFiniteNonZero());
1508 // Test +/- sNaN. +/- dont mean anything with sNaN but paranoia can't hurt in
1510 EXPECT_FALSE(APFloat::getSNaN(APFloat::IEEEsingle, false).isFiniteNonZero());
1511 EXPECT_FALSE(APFloat::getSNaN(APFloat::IEEEsingle, true).isFiniteNonZero());
1514 TEST(APFloatTest, add) {
1515 // Test Special Cases against each other and normal values.
1518 // 1. Since we perform only default exception handling all operations with
1519 // signaling NaNs should have a result that is a quiet NaN. Currently they
1521 // 2. It seems that add(-x, NaN) = -NaN but add(NaN, -x) = NaN. This is an
1522 // inconsistency that should be looked into. IEEE-754R specifies that the
1523 // interpretation of the sign of NaN is unspecified. We should always have NaN
1524 // be positive since that is one less thing for the compiler to deal with.
1526 APFloat PInf = APFloat::getInf(APFloat::IEEEsingle, false);
1527 APFloat MInf = APFloat::getInf(APFloat::IEEEsingle, true);
1528 APFloat PZero = APFloat::getZero(APFloat::IEEEsingle, false);
1529 APFloat MZero = APFloat::getZero(APFloat::IEEEsingle, true);
1530 APFloat QNaN = APFloat::getNaN(APFloat::IEEEsingle, false);
1531 APFloat SNaN = APFloat::getSNaN(APFloat::IEEEsingle, false);
1532 APFloat PNormalValue = APFloat(APFloat::IEEEsingle, "0x1p+0");
1533 APFloat MNormalValue = APFloat(APFloat::IEEEsingle, "-0x1p+0");
1534 APFloat PLargestValue = APFloat::getLargest(APFloat::IEEEsingle, false);
1535 APFloat MLargestValue = APFloat::getLargest(APFloat::IEEEsingle, true);
1536 APFloat PSmallestValue = APFloat::getSmallest(APFloat::IEEEsingle, false);
1537 APFloat MSmallestValue = APFloat::getSmallest(APFloat::IEEEsingle, true);
1538 APFloat PSmallestNormalized =
1539 APFloat::getSmallestNormalized(APFloat::IEEEsingle, false);
1540 APFloat MSmallestNormalized =
1541 APFloat::getSmallestNormalized(APFloat::IEEEsingle, true);
1543 const int OverflowStatus = APFloat::opOverflow | APFloat::opInexact;
1545 const unsigned NumTests = 169;
1552 } SpecialCaseTests[NumTests] = {
1553 { PInf, PInf, "inf", APFloat::opOK, APFloat::fcInfinity },
1554 { PInf, MInf, "nan", APFloat::opInvalidOp, APFloat::fcNaN },
1555 { PInf, PZero, "inf", APFloat::opOK, APFloat::fcInfinity },
1556 { PInf, MZero, "inf", APFloat::opOK, APFloat::fcInfinity },
1557 { PInf, QNaN, "nan", APFloat::opOK, APFloat::fcNaN },
1560 { PInf, SNaN, "nan", APFloat::opInvalidOp, APFloat::fcNaN },
1562 { PInf, PNormalValue, "inf", APFloat::opOK, APFloat::fcInfinity },
1563 { PInf, MNormalValue, "inf", APFloat::opOK, APFloat::fcInfinity },
1564 { PInf, PLargestValue, "inf", APFloat::opOK, APFloat::fcInfinity },
1565 { PInf, MLargestValue, "inf", APFloat::opOK, APFloat::fcInfinity },
1566 { PInf, PSmallestValue, "inf", APFloat::opOK, APFloat::fcInfinity },
1567 { PInf, MSmallestValue, "inf", APFloat::opOK, APFloat::fcInfinity },
1568 { PInf, PSmallestNormalized, "inf", APFloat::opOK, APFloat::fcInfinity },
1569 { PInf, MSmallestNormalized, "inf", APFloat::opOK, APFloat::fcInfinity },
1570 { MInf, PInf, "nan", APFloat::opInvalidOp, APFloat::fcNaN },
1571 { MInf, MInf, "-inf", APFloat::opOK, APFloat::fcInfinity },
1572 { MInf, PZero, "-inf", APFloat::opOK, APFloat::fcInfinity },
1573 { MInf, MZero, "-inf", APFloat::opOK, APFloat::fcInfinity },
1575 { MInf, QNaN, "-nan", APFloat::opOK, APFloat::fcNaN },
1578 { MInf, SNaN, "nan", APFloat::opInvalidOp, APFloat::fcNaN },
1580 { MInf, PNormalValue, "-inf", APFloat::opOK, APFloat::fcInfinity },
1581 { MInf, MNormalValue, "-inf", APFloat::opOK, APFloat::fcInfinity },
1582 { MInf, PLargestValue, "-inf", APFloat::opOK, APFloat::fcInfinity },
1583 { MInf, MLargestValue, "-inf", APFloat::opOK, APFloat::fcInfinity },
1584 { MInf, PSmallestValue, "-inf", APFloat::opOK, APFloat::fcInfinity },
1585 { MInf, MSmallestValue, "-inf", APFloat::opOK, APFloat::fcInfinity },
1586 { MInf, PSmallestNormalized, "-inf", APFloat::opOK, APFloat::fcInfinity },
1587 { MInf, MSmallestNormalized, "-inf", APFloat::opOK, APFloat::fcInfinity },
1588 { PZero, PInf, "inf", APFloat::opOK, APFloat::fcInfinity },
1589 { PZero, MInf, "-inf", APFloat::opOK, APFloat::fcInfinity },
1590 { PZero, PZero, "0x0p+0", APFloat::opOK, APFloat::fcZero },
1591 { PZero, MZero, "0x0p+0", APFloat::opOK, APFloat::fcZero },
1592 { PZero, QNaN, "nan", APFloat::opOK, APFloat::fcNaN },
1595 { PZero, SNaN, "nan", APFloat::opInvalidOp, APFloat::fcNaN },
1597 { PZero, PNormalValue, "0x1p+0", APFloat::opOK, APFloat::fcNormal },
1598 { PZero, MNormalValue, "-0x1p+0", APFloat::opOK, APFloat::fcNormal },
1599 { PZero, PLargestValue, "0x1.fffffep+127", APFloat::opOK, APFloat::fcNormal },
1600 { PZero, MLargestValue, "-0x1.fffffep+127", APFloat::opOK, APFloat::fcNormal },
1601 { PZero, PSmallestValue, "0x1p-149", APFloat::opOK, APFloat::fcNormal },
1602 { PZero, MSmallestValue, "-0x1p-149", APFloat::opOK, APFloat::fcNormal },
1603 { PZero, PSmallestNormalized, "0x1p-126", APFloat::opOK, APFloat::fcNormal },
1604 { PZero, MSmallestNormalized, "-0x1p-126", APFloat::opOK, APFloat::fcNormal },
1605 { MZero, PInf, "inf", APFloat::opOK, APFloat::fcInfinity },
1606 { MZero, MInf, "-inf", APFloat::opOK, APFloat::fcInfinity },
1607 { MZero, PZero, "0x0p+0", APFloat::opOK, APFloat::fcZero },
1608 { MZero, MZero, "-0x0p+0", APFloat::opOK, APFloat::fcZero },
1610 { MZero, QNaN, "-nan", APFloat::opOK, APFloat::fcNaN },
1613 { MZero, SNaN, "nan", APFloat::opInvalidOp, APFloat::fcNaN },
1615 { MZero, PNormalValue, "0x1p+0", APFloat::opOK, APFloat::fcNormal },
1616 { MZero, MNormalValue, "-0x1p+0", APFloat::opOK, APFloat::fcNormal },
1617 { MZero, PLargestValue, "0x1.fffffep+127", APFloat::opOK, APFloat::fcNormal },
1618 { MZero, MLargestValue, "-0x1.fffffep+127", APFloat::opOK, APFloat::fcNormal },
1619 { MZero, PSmallestValue, "0x1p-149", APFloat::opOK, APFloat::fcNormal },
1620 { MZero, MSmallestValue, "-0x1p-149", APFloat::opOK, APFloat::fcNormal },
1621 { MZero, PSmallestNormalized, "0x1p-126", APFloat::opOK, APFloat::fcNormal },
1622 { MZero, MSmallestNormalized, "-0x1p-126", APFloat::opOK, APFloat::fcNormal },
1623 { QNaN, PInf, "nan", APFloat::opOK, APFloat::fcNaN },
1624 { QNaN, MInf, "nan", APFloat::opOK, APFloat::fcNaN },
1625 { QNaN, PZero, "nan", APFloat::opOK, APFloat::fcNaN },
1626 { QNaN, MZero, "nan", APFloat::opOK, APFloat::fcNaN },
1627 { QNaN, QNaN, "nan", APFloat::opOK, APFloat::fcNaN },
1630 { QNaN, SNaN, "nan", APFloat::opInvalidOp, APFloat::fcNaN },
1632 { QNaN, PNormalValue, "nan", APFloat::opOK, APFloat::fcNaN },
1633 { QNaN, MNormalValue, "nan", APFloat::opOK, APFloat::fcNaN },
1634 { QNaN, PLargestValue, "nan", APFloat::opOK, APFloat::fcNaN },
1635 { QNaN, MLargestValue, "nan", APFloat::opOK, APFloat::fcNaN },
1636 { QNaN, PSmallestValue, "nan", APFloat::opOK, APFloat::fcNaN },
1637 { QNaN, MSmallestValue, "nan", APFloat::opOK, APFloat::fcNaN },
1638 { QNaN, PSmallestNormalized, "nan", APFloat::opOK, APFloat::fcNaN },
1639 { QNaN, MSmallestNormalized, "nan", APFloat::opOK, APFloat::fcNaN },
1642 { SNaN, PInf, "nan", APFloat::opInvalidOp, APFloat::fcNaN },
1643 { SNaN, MInf, "nan", APFloat::opInvalidOp, APFloat::fcNaN },
1644 { SNaN, PZero, "nan", APFloat::opInvalidOp, APFloat::fcNaN },
1645 { SNaN, MZero, "nan", APFloat::opInvalidOp, APFloat::fcNaN },
1646 { SNaN, QNaN, "nan", APFloat::opInvalidOp, APFloat::fcNaN },
1647 { SNaN, SNaN, "nan", APFloat::opInvalidOp, APFloat::fcNaN },
1648 { SNaN, PNormalValue, "nan", APFloat::opInvalidOp, APFloat::fcNaN },
1649 { SNaN, MNormalValue, "nan", APFloat::opInvalidOp, APFloat::fcNaN },
1650 { SNaN, PLargestValue, "nan", APFloat::opInvalidOp, APFloat::fcNaN },
1651 { SNaN, MLargestValue, "nan", APFloat::opInvalidOp, APFloat::fcNaN },
1652 { SNaN, PSmallestValue, "nan", APFloat::opInvalidOp, APFloat::fcNaN },
1653 { SNaN, MSmallestValue, "nan", APFloat::opInvalidOp, APFloat::fcNaN },
1654 { SNaN, PSmallestNormalized, "nan", APFloat::opInvalidOp, APFloat::fcNaN },
1655 { SNaN, MSmallestNormalized, "nan", APFloat::opInvalidOp, APFloat::fcNaN },
1657 { PNormalValue, PInf, "inf", APFloat::opOK, APFloat::fcInfinity },
1658 { PNormalValue, MInf, "-inf", APFloat::opOK, APFloat::fcInfinity },
1659 { PNormalValue, PZero, "0x1p+0", APFloat::opOK, APFloat::fcNormal },
1660 { PNormalValue, MZero, "0x1p+0", APFloat::opOK, APFloat::fcNormal },
1661 { PNormalValue, QNaN, "nan", APFloat::opOK, APFloat::fcNaN },
1664 { PNormalValue, SNaN, "nan", APFloat::opInvalidOp, APFloat::fcNaN },
1666 { PNormalValue, PNormalValue, "0x1p+1", APFloat::opOK, APFloat::fcNormal },
1667 { PNormalValue, MNormalValue, "0x0p+0", APFloat::opOK, APFloat::fcZero },
1668 { PNormalValue, PLargestValue, "0x1.fffffep+127", APFloat::opInexact, APFloat::fcNormal },
1669 { PNormalValue, MLargestValue, "-0x1.fffffep+127", APFloat::opInexact, APFloat::fcNormal },
1670 { PNormalValue, PSmallestValue, "0x1p+0", APFloat::opInexact, APFloat::fcNormal },
1671 { PNormalValue, MSmallestValue, "0x1p+0", APFloat::opInexact, APFloat::fcNormal },
1672 { PNormalValue, PSmallestNormalized, "0x1p+0", APFloat::opInexact, APFloat::fcNormal },
1673 { PNormalValue, MSmallestNormalized, "0x1p+0", APFloat::opInexact, APFloat::fcNormal },
1674 { MNormalValue, PInf, "inf", APFloat::opOK, APFloat::fcInfinity },
1675 { MNormalValue, MInf, "-inf", APFloat::opOK, APFloat::fcInfinity },
1676 { MNormalValue, PZero, "-0x1p+0", APFloat::opOK, APFloat::fcNormal },
1677 { MNormalValue, MZero, "-0x1p+0", APFloat::opOK, APFloat::fcNormal },
1679 { MNormalValue, QNaN, "-nan", APFloat::opOK, APFloat::fcNaN },
1682 { MNormalValue, SNaN, "nan", APFloat::opInvalidOp, APFloat::fcNaN },
1684 { MNormalValue, PNormalValue, "0x0p+0", APFloat::opOK, APFloat::fcZero },
1685 { MNormalValue, MNormalValue, "-0x1p+1", APFloat::opOK, APFloat::fcNormal },
1686 { MNormalValue, PLargestValue, "0x1.fffffep+127", APFloat::opInexact, APFloat::fcNormal },
1687 { MNormalValue, MLargestValue, "-0x1.fffffep+127", APFloat::opInexact, APFloat::fcNormal },
1688 { MNormalValue, PSmallestValue, "-0x1p+0", APFloat::opInexact, APFloat::fcNormal },
1689 { MNormalValue, MSmallestValue, "-0x1p+0", APFloat::opInexact, APFloat::fcNormal },
1690 { MNormalValue, PSmallestNormalized, "-0x1p+0", APFloat::opInexact, APFloat::fcNormal },
1691 { MNormalValue, MSmallestNormalized, "-0x1p+0", APFloat::opInexact, APFloat::fcNormal },
1692 { PLargestValue, PInf, "inf", APFloat::opOK, APFloat::fcInfinity },
1693 { PLargestValue, MInf, "-inf", APFloat::opOK, APFloat::fcInfinity },
1694 { PLargestValue, PZero, "0x1.fffffep+127", APFloat::opOK, APFloat::fcNormal },
1695 { PLargestValue, MZero, "0x1.fffffep+127", APFloat::opOK, APFloat::fcNormal },
1696 { PLargestValue, QNaN, "nan", APFloat::opOK, APFloat::fcNaN },
1699 { PLargestValue, SNaN, "nan", APFloat::opInvalidOp, APFloat::fcNaN },
1701 { PLargestValue, PNormalValue, "0x1.fffffep+127", APFloat::opInexact, APFloat::fcNormal },
1702 { PLargestValue, MNormalValue, "0x1.fffffep+127", APFloat::opInexact, APFloat::fcNormal },
1703 { PLargestValue, PLargestValue, "inf", OverflowStatus, APFloat::fcInfinity },
1704 { PLargestValue, MLargestValue, "0x0p+0", APFloat::opOK, APFloat::fcZero },
1705 { PLargestValue, PSmallestValue, "0x1.fffffep+127", APFloat::opInexact, APFloat::fcNormal },
1706 { PLargestValue, MSmallestValue, "0x1.fffffep+127", APFloat::opInexact, APFloat::fcNormal },
1707 { PLargestValue, PSmallestNormalized, "0x1.fffffep+127", APFloat::opInexact, APFloat::fcNormal },
1708 { PLargestValue, MSmallestNormalized, "0x1.fffffep+127", APFloat::opInexact, APFloat::fcNormal },
1709 { MLargestValue, PInf, "inf", APFloat::opOK, APFloat::fcInfinity },
1710 { MLargestValue, MInf, "-inf", APFloat::opOK, APFloat::fcInfinity },
1711 { MLargestValue, PZero, "-0x1.fffffep+127", APFloat::opOK, APFloat::fcNormal },
1712 { MLargestValue, MZero, "-0x1.fffffep+127", APFloat::opOK, APFloat::fcNormal },
1714 { MLargestValue, QNaN, "-nan", APFloat::opOK, APFloat::fcNaN },
1717 { MLargestValue, SNaN, "nan", APFloat::opInvalidOp, APFloat::fcNaN },
1719 { MLargestValue, PNormalValue, "-0x1.fffffep+127", APFloat::opInexact, APFloat::fcNormal },
1720 { MLargestValue, MNormalValue, "-0x1.fffffep+127", APFloat::opInexact, APFloat::fcNormal },
1721 { MLargestValue, PLargestValue, "0x0p+0", APFloat::opOK, APFloat::fcZero },
1722 { MLargestValue, MLargestValue, "-inf", OverflowStatus, APFloat::fcInfinity },
1723 { MLargestValue, PSmallestValue, "-0x1.fffffep+127", APFloat::opInexact, APFloat::fcNormal },
1724 { MLargestValue, MSmallestValue, "-0x1.fffffep+127", APFloat::opInexact, APFloat::fcNormal },
1725 { MLargestValue, PSmallestNormalized, "-0x1.fffffep+127", APFloat::opInexact, APFloat::fcNormal },
1726 { MLargestValue, MSmallestNormalized, "-0x1.fffffep+127", APFloat::opInexact, APFloat::fcNormal },
1727 { PSmallestValue, PInf, "inf", APFloat::opOK, APFloat::fcInfinity },
1728 { PSmallestValue, MInf, "-inf", APFloat::opOK, APFloat::fcInfinity },
1729 { PSmallestValue, PZero, "0x1p-149", APFloat::opOK, APFloat::fcNormal },
1730 { PSmallestValue, MZero, "0x1p-149", APFloat::opOK, APFloat::fcNormal },
1731 { PSmallestValue, QNaN, "nan", APFloat::opOK, APFloat::fcNaN },
1734 { PSmallestValue, SNaN, "nan", APFloat::opInvalidOp, APFloat::fcNaN },
1736 { PSmallestValue, PNormalValue, "0x1p+0", APFloat::opInexact, APFloat::fcNormal },
1737 { PSmallestValue, MNormalValue, "-0x1p+0", APFloat::opInexact, APFloat::fcNormal },
1738 { PSmallestValue, PLargestValue, "0x1.fffffep+127", APFloat::opInexact, APFloat::fcNormal },
1739 { PSmallestValue, MLargestValue, "-0x1.fffffep+127", APFloat::opInexact, APFloat::fcNormal },
1740 { PSmallestValue, PSmallestValue, "0x1p-148", APFloat::opOK, APFloat::fcNormal },
1741 { PSmallestValue, MSmallestValue, "0x0p+0", APFloat::opOK, APFloat::fcZero },
1742 { PSmallestValue, PSmallestNormalized, "0x1.000002p-126", APFloat::opOK, APFloat::fcNormal },
1743 { PSmallestValue, MSmallestNormalized, "-0x1.fffffcp-127", APFloat::opOK, APFloat::fcNormal },
1744 { MSmallestValue, PInf, "inf", APFloat::opOK, APFloat::fcInfinity },
1745 { MSmallestValue, MInf, "-inf", APFloat::opOK, APFloat::fcInfinity },
1746 { MSmallestValue, PZero, "-0x1p-149", APFloat::opOK, APFloat::fcNormal },
1747 { MSmallestValue, MZero, "-0x1p-149", APFloat::opOK, APFloat::fcNormal },
1749 { MSmallestValue, QNaN, "-nan", APFloat::opOK, APFloat::fcNaN },
1752 { MSmallestValue, SNaN, "nan", APFloat::opInvalidOp, APFloat::fcNaN },
1754 { MSmallestValue, PNormalValue, "0x1p+0", APFloat::opInexact, APFloat::fcNormal },
1755 { MSmallestValue, MNormalValue, "-0x1p+0", APFloat::opInexact, APFloat::fcNormal },
1756 { MSmallestValue, PLargestValue, "0x1.fffffep+127", APFloat::opInexact, APFloat::fcNormal },
1757 { MSmallestValue, MLargestValue, "-0x1.fffffep+127", APFloat::opInexact, APFloat::fcNormal },
1758 { MSmallestValue, PSmallestValue, "0x0p+0", APFloat::opOK, APFloat::fcZero },
1759 { MSmallestValue, MSmallestValue, "-0x1p-148", APFloat::opOK, APFloat::fcNormal },
1760 { MSmallestValue, PSmallestNormalized, "0x1.fffffcp-127", APFloat::opOK, APFloat::fcNormal },
1761 { MSmallestValue, MSmallestNormalized, "-0x1.000002p-126", APFloat::opOK, APFloat::fcNormal },
1762 { PSmallestNormalized, PInf, "inf", APFloat::opOK, APFloat::fcInfinity },
1763 { PSmallestNormalized, MInf, "-inf", APFloat::opOK, APFloat::fcInfinity },
1764 { PSmallestNormalized, PZero, "0x1p-126", APFloat::opOK, APFloat::fcNormal },
1765 { PSmallestNormalized, MZero, "0x1p-126", APFloat::opOK, APFloat::fcNormal },
1766 { PSmallestNormalized, QNaN, "nan", APFloat::opOK, APFloat::fcNaN },
1769 { PSmallestNormalized, SNaN, "nan", APFloat::opInvalidOp, APFloat::fcNaN },
1771 { PSmallestNormalized, PNormalValue, "0x1p+0", APFloat::opInexact, APFloat::fcNormal },
1772 { PSmallestNormalized, MNormalValue, "-0x1p+0", APFloat::opInexact, APFloat::fcNormal },
1773 { PSmallestNormalized, PLargestValue, "0x1.fffffep+127", APFloat::opInexact, APFloat::fcNormal },
1774 { PSmallestNormalized, MLargestValue, "-0x1.fffffep+127", APFloat::opInexact, APFloat::fcNormal },
1775 { PSmallestNormalized, PSmallestValue, "0x1.000002p-126", APFloat::opOK, APFloat::fcNormal },
1776 { PSmallestNormalized, MSmallestValue, "0x1.fffffcp-127", APFloat::opOK, APFloat::fcNormal },
1777 { PSmallestNormalized, PSmallestNormalized, "0x1p-125", APFloat::opOK, APFloat::fcNormal },
1778 { PSmallestNormalized, MSmallestNormalized, "0x0p+0", APFloat::opOK, APFloat::fcZero },
1779 { MSmallestNormalized, PInf, "inf", APFloat::opOK, APFloat::fcInfinity },
1780 { MSmallestNormalized, MInf, "-inf", APFloat::opOK, APFloat::fcInfinity },
1781 { MSmallestNormalized, PZero, "-0x1p-126", APFloat::opOK, APFloat::fcNormal },
1782 { MSmallestNormalized, MZero, "-0x1p-126", APFloat::opOK, APFloat::fcNormal },
1784 { MSmallestNormalized, QNaN, "-nan", APFloat::opOK, APFloat::fcNaN },
1787 { MSmallestNormalized, SNaN, "nan", APFloat::opInvalidOp, APFloat::fcNaN },
1789 { MSmallestNormalized, PNormalValue, "0x1p+0", APFloat::opInexact, APFloat::fcNormal },
1790 { MSmallestNormalized, MNormalValue, "-0x1p+0", APFloat::opInexact, APFloat::fcNormal },
1791 { MSmallestNormalized, PLargestValue, "0x1.fffffep+127", APFloat::opInexact, APFloat::fcNormal },
1792 { MSmallestNormalized, MLargestValue, "-0x1.fffffep+127", APFloat::opInexact, APFloat::fcNormal },
1793 { MSmallestNormalized, PSmallestValue, "-0x1.fffffcp-127", APFloat::opOK, APFloat::fcNormal },
1794 { MSmallestNormalized, MSmallestValue, "-0x1.000002p-126", APFloat::opOK, APFloat::fcNormal },
1795 { MSmallestNormalized, PSmallestNormalized, "0x0p+0", APFloat::opOK, APFloat::fcZero },
1796 { MSmallestNormalized, MSmallestNormalized, "-0x1p-125", APFloat::opOK, APFloat::fcNormal }
1799 for (size_t i = 0; i < NumTests; ++i) {
1800 APFloat x(SpecialCaseTests[i].x);
1801 APFloat y(SpecialCaseTests[i].y);
1802 APFloat::opStatus status = x.add(y, APFloat::rmNearestTiesToEven);
1804 APFloat result(APFloat::IEEEsingle, SpecialCaseTests[i].result);
1806 EXPECT_TRUE(result.bitwiseIsEqual(x));
1807 EXPECT_TRUE((int)status == SpecialCaseTests[i].status);
1808 EXPECT_TRUE((int)x.getCategory() == SpecialCaseTests[i].category);
1812 TEST(APFloatTest, subtract) {
1813 // Test Special Cases against each other and normal values.
1816 // 1. Since we perform only default exception handling all operations with
1817 // signaling NaNs should have a result that is a quiet NaN. Currently they
1819 // 2. It seems that sub(-x, NaN) = -NaN but sub(NaN, -x) = NaN. This is an
1820 // inconsistency that should be looked into. IEEE-754R specifies that the
1821 // interpretation of the sign of NaN is unspecified. We should always have NaN
1822 // be positive since that is one less thing for the compiler to deal with.
1824 APFloat PInf = APFloat::getInf(APFloat::IEEEsingle, false);
1825 APFloat MInf = APFloat::getInf(APFloat::IEEEsingle, true);
1826 APFloat PZero = APFloat::getZero(APFloat::IEEEsingle, false);
1827 APFloat MZero = APFloat::getZero(APFloat::IEEEsingle, true);
1828 APFloat QNaN = APFloat::getNaN(APFloat::IEEEsingle, false);
1829 APFloat SNaN = APFloat::getSNaN(APFloat::IEEEsingle, false);
1830 APFloat PNormalValue = APFloat(APFloat::IEEEsingle, "0x1p+0");
1831 APFloat MNormalValue = APFloat(APFloat::IEEEsingle, "-0x1p+0");
1832 APFloat PLargestValue = APFloat::getLargest(APFloat::IEEEsingle, false);
1833 APFloat MLargestValue = APFloat::getLargest(APFloat::IEEEsingle, true);
1834 APFloat PSmallestValue = APFloat::getSmallest(APFloat::IEEEsingle, false);
1835 APFloat MSmallestValue = APFloat::getSmallest(APFloat::IEEEsingle, true);
1836 APFloat PSmallestNormalized =
1837 APFloat::getSmallestNormalized(APFloat::IEEEsingle, false);
1838 APFloat MSmallestNormalized =
1839 APFloat::getSmallestNormalized(APFloat::IEEEsingle, true);
1841 const int OverflowStatus = APFloat::opOverflow | APFloat::opInexact;
1843 const unsigned NumTests = 169;
1850 } SpecialCaseTests[NumTests] = {
1851 { PInf, PInf, "nan", APFloat::opInvalidOp, APFloat::fcNaN },
1852 { PInf, MInf, "inf", APFloat::opOK, APFloat::fcInfinity },
1853 { PInf, PZero, "inf", APFloat::opOK, APFloat::fcInfinity },
1854 { PInf, MZero, "inf", APFloat::opOK, APFloat::fcInfinity },
1855 { PInf, QNaN, "nan", APFloat::opOK, APFloat::fcNaN },
1858 { PInf, SNaN, "nan", APFloat::opInvalidOp, APFloat::fcNaN },
1860 { PInf, PNormalValue, "inf", APFloat::opOK, APFloat::fcInfinity },
1861 { PInf, MNormalValue, "inf", APFloat::opOK, APFloat::fcInfinity },
1862 { PInf, PLargestValue, "inf", APFloat::opOK, APFloat::fcInfinity },
1863 { PInf, MLargestValue, "inf", APFloat::opOK, APFloat::fcInfinity },
1864 { PInf, PSmallestValue, "inf", APFloat::opOK, APFloat::fcInfinity },
1865 { PInf, MSmallestValue, "inf", APFloat::opOK, APFloat::fcInfinity },
1866 { PInf, PSmallestNormalized, "inf", APFloat::opOK, APFloat::fcInfinity },
1867 { PInf, MSmallestNormalized, "inf", APFloat::opOK, APFloat::fcInfinity },
1868 { MInf, PInf, "-inf", APFloat::opOK, APFloat::fcInfinity },
1869 { MInf, MInf, "nan", APFloat::opInvalidOp, APFloat::fcNaN },
1870 { MInf, PZero, "-inf", APFloat::opOK, APFloat::fcInfinity },
1871 { MInf, MZero, "-inf", APFloat::opOK, APFloat::fcInfinity },
1873 { MInf, QNaN, "-nan", APFloat::opOK, APFloat::fcNaN },
1876 { MInf, SNaN, "nan", APFloat::opInvalidOp, APFloat::fcNaN },
1878 { MInf, PNormalValue, "-inf", APFloat::opOK, APFloat::fcInfinity },
1879 { MInf, MNormalValue, "-inf", APFloat::opOK, APFloat::fcInfinity },
1880 { MInf, PLargestValue, "-inf", APFloat::opOK, APFloat::fcInfinity },
1881 { MInf, MLargestValue, "-inf", APFloat::opOK, APFloat::fcInfinity },
1882 { MInf, PSmallestValue, "-inf", APFloat::opOK, APFloat::fcInfinity },
1883 { MInf, MSmallestValue, "-inf", APFloat::opOK, APFloat::fcInfinity },
1884 { MInf, PSmallestNormalized, "-inf", APFloat::opOK, APFloat::fcInfinity },
1885 { MInf, MSmallestNormalized, "-inf", APFloat::opOK, APFloat::fcInfinity },
1886 { PZero, PInf, "-inf", APFloat::opOK, APFloat::fcInfinity },
1887 { PZero, MInf, "inf", APFloat::opOK, APFloat::fcInfinity },
1888 { PZero, PZero, "0x0p+0", APFloat::opOK, APFloat::fcZero },
1889 { PZero, MZero, "0x0p+0", APFloat::opOK, APFloat::fcZero },
1890 { PZero, QNaN, "nan", APFloat::opOK, APFloat::fcNaN },
1893 { PZero, SNaN, "nan", APFloat::opInvalidOp, APFloat::fcNaN },
1895 { PZero, PNormalValue, "-0x1p+0", APFloat::opOK, APFloat::fcNormal },
1896 { PZero, MNormalValue, "0x1p+0", APFloat::opOK, APFloat::fcNormal },
1897 { PZero, PLargestValue, "-0x1.fffffep+127", APFloat::opOK, APFloat::fcNormal },
1898 { PZero, MLargestValue, "0x1.fffffep+127", APFloat::opOK, APFloat::fcNormal },
1899 { PZero, PSmallestValue, "-0x1p-149", APFloat::opOK, APFloat::fcNormal },
1900 { PZero, MSmallestValue, "0x1p-149", APFloat::opOK, APFloat::fcNormal },
1901 { PZero, PSmallestNormalized, "-0x1p-126", APFloat::opOK, APFloat::fcNormal },
1902 { PZero, MSmallestNormalized, "0x1p-126", APFloat::opOK, APFloat::fcNormal },
1903 { MZero, PInf, "-inf", APFloat::opOK, APFloat::fcInfinity },
1904 { MZero, MInf, "inf", APFloat::opOK, APFloat::fcInfinity },
1905 { MZero, PZero, "-0x0p+0", APFloat::opOK, APFloat::fcZero },
1906 { MZero, MZero, "0x0p+0", APFloat::opOK, APFloat::fcZero },
1908 { MZero, QNaN, "-nan", APFloat::opOK, APFloat::fcNaN },
1911 { MZero, SNaN, "nan", APFloat::opInvalidOp, APFloat::fcNaN },
1913 { MZero, PNormalValue, "-0x1p+0", APFloat::opOK, APFloat::fcNormal },
1914 { MZero, MNormalValue, "0x1p+0", APFloat::opOK, APFloat::fcNormal },
1915 { MZero, PLargestValue, "-0x1.fffffep+127", APFloat::opOK, APFloat::fcNormal },
1916 { MZero, MLargestValue, "0x1.fffffep+127", APFloat::opOK, APFloat::fcNormal },
1917 { MZero, PSmallestValue, "-0x1p-149", APFloat::opOK, APFloat::fcNormal },
1918 { MZero, MSmallestValue, "0x1p-149", APFloat::opOK, APFloat::fcNormal },
1919 { MZero, PSmallestNormalized, "-0x1p-126", APFloat::opOK, APFloat::fcNormal },
1920 { MZero, MSmallestNormalized, "0x1p-126", APFloat::opOK, APFloat::fcNormal },
1921 { QNaN, PInf, "nan", APFloat::opOK, APFloat::fcNaN },
1922 { QNaN, MInf, "nan", APFloat::opOK, APFloat::fcNaN },
1923 { QNaN, PZero, "nan", APFloat::opOK, APFloat::fcNaN },
1924 { QNaN, MZero, "nan", APFloat::opOK, APFloat::fcNaN },
1925 { QNaN, QNaN, "nan", APFloat::opOK, APFloat::fcNaN },
1928 { QNaN, SNaN, "nan", APFloat::opInvalidOp, APFloat::fcNaN },
1930 { QNaN, PNormalValue, "nan", APFloat::opOK, APFloat::fcNaN },
1931 { QNaN, MNormalValue, "nan", APFloat::opOK, APFloat::fcNaN },
1932 { QNaN, PLargestValue, "nan", APFloat::opOK, APFloat::fcNaN },
1933 { QNaN, MLargestValue, "nan", APFloat::opOK, APFloat::fcNaN },
1934 { QNaN, PSmallestValue, "nan", APFloat::opOK, APFloat::fcNaN },
1935 { QNaN, MSmallestValue, "nan", APFloat::opOK, APFloat::fcNaN },
1936 { QNaN, PSmallestNormalized, "nan", APFloat::opOK, APFloat::fcNaN },
1937 { QNaN, MSmallestNormalized, "nan", APFloat::opOK, APFloat::fcNaN },
1940 { SNaN, PInf, "nan", APFloat::opInvalidOp, APFloat::fcNaN },
1941 { SNaN, MInf, "nan", APFloat::opInvalidOp, APFloat::fcNaN },
1942 { SNaN, PZero, "nan", APFloat::opInvalidOp, APFloat::fcNaN },
1943 { SNaN, MZero, "nan", APFloat::opInvalidOp, APFloat::fcNaN },
1944 { SNaN, QNaN, "nan", APFloat::opInvalidOp, APFloat::fcNaN },
1945 { SNaN, SNaN, "nan", APFloat::opInvalidOp, APFloat::fcNaN },
1946 { SNaN, PNormalValue, "nan", APFloat::opInvalidOp, APFloat::fcNaN },
1947 { SNaN, MNormalValue, "nan", APFloat::opInvalidOp, APFloat::fcNaN },
1948 { SNaN, PLargestValue, "nan", APFloat::opInvalidOp, APFloat::fcNaN },
1949 { SNaN, MLargestValue, "nan", APFloat::opInvalidOp, APFloat::fcNaN },
1950 { SNaN, PSmallestValue, "nan", APFloat::opInvalidOp, APFloat::fcNaN },
1951 { SNaN, MSmallestValue, "nan", APFloat::opInvalidOp, APFloat::fcNaN },
1952 { SNaN, PSmallestNormalized, "nan", APFloat::opInvalidOp, APFloat::fcNaN },
1953 { SNaN, MSmallestNormalized, "nan", APFloat::opInvalidOp, APFloat::fcNaN },
1955 { PNormalValue, PInf, "-inf", APFloat::opOK, APFloat::fcInfinity },
1956 { PNormalValue, MInf, "inf", APFloat::opOK, APFloat::fcInfinity },
1957 { PNormalValue, PZero, "0x1p+0", APFloat::opOK, APFloat::fcNormal },
1958 { PNormalValue, MZero, "0x1p+0", APFloat::opOK, APFloat::fcNormal },
1959 { PNormalValue, QNaN, "nan", APFloat::opOK, APFloat::fcNaN },
1962 { PNormalValue, SNaN, "nan", APFloat::opInvalidOp, APFloat::fcNaN },
1964 { PNormalValue, PNormalValue, "0x0p+0", APFloat::opOK, APFloat::fcZero },
1965 { PNormalValue, MNormalValue, "0x1p+1", APFloat::opOK, APFloat::fcNormal },
1966 { PNormalValue, PLargestValue, "-0x1.fffffep+127", APFloat::opInexact, APFloat::fcNormal },
1967 { PNormalValue, MLargestValue, "0x1.fffffep+127", APFloat::opInexact, APFloat::fcNormal },
1968 { PNormalValue, PSmallestValue, "0x1p+0", APFloat::opInexact, APFloat::fcNormal },
1969 { PNormalValue, MSmallestValue, "0x1p+0", APFloat::opInexact, APFloat::fcNormal },
1970 { PNormalValue, PSmallestNormalized, "0x1p+0", APFloat::opInexact, APFloat::fcNormal },
1971 { PNormalValue, MSmallestNormalized, "0x1p+0", APFloat::opInexact, APFloat::fcNormal },
1972 { MNormalValue, PInf, "-inf", APFloat::opOK, APFloat::fcInfinity },
1973 { MNormalValue, MInf, "inf", APFloat::opOK, APFloat::fcInfinity },
1974 { MNormalValue, PZero, "-0x1p+0", APFloat::opOK, APFloat::fcNormal },
1975 { MNormalValue, MZero, "-0x1p+0", APFloat::opOK, APFloat::fcNormal },
1977 { MNormalValue, QNaN, "-nan", APFloat::opOK, APFloat::fcNaN },
1980 { MNormalValue, SNaN, "nan", APFloat::opInvalidOp, APFloat::fcNaN },
1982 { MNormalValue, PNormalValue, "-0x1p+1", APFloat::opOK, APFloat::fcNormal },
1983 { MNormalValue, MNormalValue, "0x0p+0", APFloat::opOK, APFloat::fcZero },
1984 { MNormalValue, PLargestValue, "-0x1.fffffep+127", APFloat::opInexact, APFloat::fcNormal },
1985 { MNormalValue, MLargestValue, "0x1.fffffep+127", APFloat::opInexact, APFloat::fcNormal },
1986 { MNormalValue, PSmallestValue, "-0x1p+0", APFloat::opInexact, APFloat::fcNormal },
1987 { MNormalValue, MSmallestValue, "-0x1p+0", APFloat::opInexact, APFloat::fcNormal },
1988 { MNormalValue, PSmallestNormalized, "-0x1p+0", APFloat::opInexact, APFloat::fcNormal },
1989 { MNormalValue, MSmallestNormalized, "-0x1p+0", APFloat::opInexact, APFloat::fcNormal },
1990 { PLargestValue, PInf, "-inf", APFloat::opOK, APFloat::fcInfinity },
1991 { PLargestValue, MInf, "inf", APFloat::opOK, APFloat::fcInfinity },
1992 { PLargestValue, PZero, "0x1.fffffep+127", APFloat::opOK, APFloat::fcNormal },
1993 { PLargestValue, MZero, "0x1.fffffep+127", APFloat::opOK, APFloat::fcNormal },
1994 { PLargestValue, QNaN, "nan", APFloat::opOK, APFloat::fcNaN },
1997 { PLargestValue, SNaN, "nan", APFloat::opInvalidOp, APFloat::fcNaN },
1999 { PLargestValue, PNormalValue, "0x1.fffffep+127", APFloat::opInexact, APFloat::fcNormal },
2000 { PLargestValue, MNormalValue, "0x1.fffffep+127", APFloat::opInexact, APFloat::fcNormal },
2001 { PLargestValue, PLargestValue, "0x0p+0", APFloat::opOK, APFloat::fcZero },
2002 { PLargestValue, MLargestValue, "inf", OverflowStatus, APFloat::fcInfinity },
2003 { PLargestValue, PSmallestValue, "0x1.fffffep+127", APFloat::opInexact, APFloat::fcNormal },
2004 { PLargestValue, MSmallestValue, "0x1.fffffep+127", APFloat::opInexact, APFloat::fcNormal },
2005 { PLargestValue, PSmallestNormalized, "0x1.fffffep+127", APFloat::opInexact, APFloat::fcNormal },
2006 { PLargestValue, MSmallestNormalized, "0x1.fffffep+127", APFloat::opInexact, APFloat::fcNormal },
2007 { MLargestValue, PInf, "-inf", APFloat::opOK, APFloat::fcInfinity },
2008 { MLargestValue, MInf, "inf", APFloat::opOK, APFloat::fcInfinity },
2009 { MLargestValue, PZero, "-0x1.fffffep+127", APFloat::opOK, APFloat::fcNormal },
2010 { MLargestValue, MZero, "-0x1.fffffep+127", APFloat::opOK, APFloat::fcNormal },
2012 { MLargestValue, QNaN, "-nan", APFloat::opOK, APFloat::fcNaN },
2015 { MLargestValue, SNaN, "nan", APFloat::opInvalidOp, APFloat::fcNaN },
2017 { MLargestValue, PNormalValue, "-0x1.fffffep+127", APFloat::opInexact, APFloat::fcNormal },
2018 { MLargestValue, MNormalValue, "-0x1.fffffep+127", APFloat::opInexact, APFloat::fcNormal },
2019 { MLargestValue, PLargestValue, "-inf", OverflowStatus, APFloat::fcInfinity },
2020 { MLargestValue, MLargestValue, "0x0p+0", APFloat::opOK, APFloat::fcZero },
2021 { MLargestValue, PSmallestValue, "-0x1.fffffep+127", APFloat::opInexact, APFloat::fcNormal },
2022 { MLargestValue, MSmallestValue, "-0x1.fffffep+127", APFloat::opInexact, APFloat::fcNormal },
2023 { MLargestValue, PSmallestNormalized, "-0x1.fffffep+127", APFloat::opInexact, APFloat::fcNormal },
2024 { MLargestValue, MSmallestNormalized, "-0x1.fffffep+127", APFloat::opInexact, APFloat::fcNormal },
2025 { PSmallestValue, PInf, "-inf", APFloat::opOK, APFloat::fcInfinity },
2026 { PSmallestValue, MInf, "inf", APFloat::opOK, APFloat::fcInfinity },
2027 { PSmallestValue, PZero, "0x1p-149", APFloat::opOK, APFloat::fcNormal },
2028 { PSmallestValue, MZero, "0x1p-149", APFloat::opOK, APFloat::fcNormal },
2029 { PSmallestValue, QNaN, "nan", APFloat::opOK, APFloat::fcNaN },
2032 { PSmallestValue, SNaN, "nan", APFloat::opInvalidOp, APFloat::fcNaN },
2034 { PSmallestValue, PNormalValue, "-0x1p+0", APFloat::opInexact, APFloat::fcNormal },
2035 { PSmallestValue, MNormalValue, "0x1p+0", APFloat::opInexact, APFloat::fcNormal },
2036 { PSmallestValue, PLargestValue, "-0x1.fffffep+127", APFloat::opInexact, APFloat::fcNormal },
2037 { PSmallestValue, MLargestValue, "0x1.fffffep+127", APFloat::opInexact, APFloat::fcNormal },
2038 { PSmallestValue, PSmallestValue, "0x0p+0", APFloat::opOK, APFloat::fcZero },
2039 { PSmallestValue, MSmallestValue, "0x1p-148", APFloat::opOK, APFloat::fcNormal },
2040 { PSmallestValue, PSmallestNormalized, "-0x1.fffffcp-127", APFloat::opOK, APFloat::fcNormal },
2041 { PSmallestValue, MSmallestNormalized, "0x1.000002p-126", APFloat::opOK, APFloat::fcNormal },
2042 { MSmallestValue, PInf, "-inf", APFloat::opOK, APFloat::fcInfinity },
2043 { MSmallestValue, MInf, "inf", APFloat::opOK, APFloat::fcInfinity },
2044 { MSmallestValue, PZero, "-0x1p-149", APFloat::opOK, APFloat::fcNormal },
2045 { MSmallestValue, MZero, "-0x1p-149", APFloat::opOK, APFloat::fcNormal },
2047 { MSmallestValue, QNaN, "-nan", APFloat::opOK, APFloat::fcNaN },
2050 { MSmallestValue, SNaN, "nan", APFloat::opInvalidOp, APFloat::fcNaN },
2052 { MSmallestValue, PNormalValue, "-0x1p+0", APFloat::opInexact, APFloat::fcNormal },
2053 { MSmallestValue, MNormalValue, "0x1p+0", APFloat::opInexact, APFloat::fcNormal },
2054 { MSmallestValue, PLargestValue, "-0x1.fffffep+127", APFloat::opInexact, APFloat::fcNormal },
2055 { MSmallestValue, MLargestValue, "0x1.fffffep+127", APFloat::opInexact, APFloat::fcNormal },
2056 { MSmallestValue, PSmallestValue, "-0x1p-148", APFloat::opOK, APFloat::fcNormal },
2057 { MSmallestValue, MSmallestValue, "0x0p+0", APFloat::opOK, APFloat::fcZero },
2058 { MSmallestValue, PSmallestNormalized, "-0x1.000002p-126", APFloat::opOK, APFloat::fcNormal },
2059 { MSmallestValue, MSmallestNormalized, "0x1.fffffcp-127", APFloat::opOK, APFloat::fcNormal },
2060 { PSmallestNormalized, PInf, "-inf", APFloat::opOK, APFloat::fcInfinity },
2061 { PSmallestNormalized, MInf, "inf", APFloat::opOK, APFloat::fcInfinity },
2062 { PSmallestNormalized, PZero, "0x1p-126", APFloat::opOK, APFloat::fcNormal },
2063 { PSmallestNormalized, MZero, "0x1p-126", APFloat::opOK, APFloat::fcNormal },
2064 { PSmallestNormalized, QNaN, "nan", APFloat::opOK, APFloat::fcNaN },
2067 { PSmallestNormalized, SNaN, "nan", APFloat::opInvalidOp, APFloat::fcNaN },
2069 { PSmallestNormalized, PNormalValue, "-0x1p+0", APFloat::opInexact, APFloat::fcNormal },
2070 { PSmallestNormalized, MNormalValue, "0x1p+0", APFloat::opInexact, APFloat::fcNormal },
2071 { PSmallestNormalized, PLargestValue, "-0x1.fffffep+127", APFloat::opInexact, APFloat::fcNormal },
2072 { PSmallestNormalized, MLargestValue, "0x1.fffffep+127", APFloat::opInexact, APFloat::fcNormal },
2073 { PSmallestNormalized, PSmallestValue, "0x1.fffffcp-127", APFloat::opOK, APFloat::fcNormal },
2074 { PSmallestNormalized, MSmallestValue, "0x1.000002p-126", APFloat::opOK, APFloat::fcNormal },
2075 { PSmallestNormalized, PSmallestNormalized, "0x0p+0", APFloat::opOK, APFloat::fcZero },
2076 { PSmallestNormalized, MSmallestNormalized, "0x1p-125", APFloat::opOK, APFloat::fcNormal },
2077 { MSmallestNormalized, PInf, "-inf", APFloat::opOK, APFloat::fcInfinity },
2078 { MSmallestNormalized, MInf, "inf", APFloat::opOK, APFloat::fcInfinity },
2079 { MSmallestNormalized, PZero, "-0x1p-126", APFloat::opOK, APFloat::fcNormal },
2080 { MSmallestNormalized, MZero, "-0x1p-126", APFloat::opOK, APFloat::fcNormal },
2082 { MSmallestNormalized, QNaN, "-nan", APFloat::opOK, APFloat::fcNaN },
2085 { MSmallestNormalized, SNaN, "nan", APFloat::opInvalidOp, APFloat::fcNaN },
2087 { MSmallestNormalized, PNormalValue, "-0x1p+0", APFloat::opInexact, APFloat::fcNormal },
2088 { MSmallestNormalized, MNormalValue, "0x1p+0", APFloat::opInexact, APFloat::fcNormal },
2089 { MSmallestNormalized, PLargestValue, "-0x1.fffffep+127", APFloat::opInexact, APFloat::fcNormal },
2090 { MSmallestNormalized, MLargestValue, "0x1.fffffep+127", APFloat::opInexact, APFloat::fcNormal },
2091 { MSmallestNormalized, PSmallestValue, "-0x1.000002p-126", APFloat::opOK, APFloat::fcNormal },
2092 { MSmallestNormalized, MSmallestValue, "-0x1.fffffcp-127", APFloat::opOK, APFloat::fcNormal },
2093 { MSmallestNormalized, PSmallestNormalized, "-0x1p-125", APFloat::opOK, APFloat::fcNormal },
2094 { MSmallestNormalized, MSmallestNormalized, "0x0p+0", APFloat::opOK, APFloat::fcZero }
2097 for (size_t i = 0; i < NumTests; ++i) {
2098 APFloat x(SpecialCaseTests[i].x);
2099 APFloat y(SpecialCaseTests[i].y);
2100 APFloat::opStatus status = x.subtract(y, APFloat::rmNearestTiesToEven);
2102 APFloat result(APFloat::IEEEsingle, SpecialCaseTests[i].result);
2104 EXPECT_TRUE(result.bitwiseIsEqual(x));
2105 EXPECT_TRUE((int)status == SpecialCaseTests[i].status);
2106 EXPECT_TRUE((int)x.getCategory() == SpecialCaseTests[i].category);
2110 TEST(APFloatTest, multiply) {
2111 // Test Special Cases against each other and normal values.
2114 // 1. Since we perform only default exception handling all operations with
2115 // signaling NaNs should have a result that is a quiet NaN. Currently they
2117 // 2. It seems that multiply(-x, NaN) = multiply(NaN, -x) = -NaN. IEEE-754R
2118 // leaves the meaning of the sign of NaNs as unspecified. To simplify things,
2119 // we should just assume that NaN is always positive. I will fix this.
2121 APFloat PInf = APFloat::getInf(APFloat::IEEEsingle, false);
2122 APFloat MInf = APFloat::getInf(APFloat::IEEEsingle, true);
2123 APFloat PZero = APFloat::getZero(APFloat::IEEEsingle, false);
2124 APFloat MZero = APFloat::getZero(APFloat::IEEEsingle, true);
2125 APFloat QNaN = APFloat::getNaN(APFloat::IEEEsingle, false);
2126 APFloat SNaN = APFloat::getSNaN(APFloat::IEEEsingle, false);
2127 APFloat PNormalValue = APFloat(APFloat::IEEEsingle, "0x1p+0");
2128 APFloat MNormalValue = APFloat(APFloat::IEEEsingle, "-0x1p+0");
2129 APFloat PLargestValue = APFloat::getLargest(APFloat::IEEEsingle, false);
2130 APFloat MLargestValue = APFloat::getLargest(APFloat::IEEEsingle, true);
2131 APFloat PSmallestValue = APFloat::getSmallest(APFloat::IEEEsingle, false);
2132 APFloat MSmallestValue = APFloat::getSmallest(APFloat::IEEEsingle, true);
2133 APFloat PSmallestNormalized =
2134 APFloat::getSmallestNormalized(APFloat::IEEEsingle, false);
2135 APFloat MSmallestNormalized =
2136 APFloat::getSmallestNormalized(APFloat::IEEEsingle, true);
2138 const int OverflowStatus = APFloat::opOverflow | APFloat::opInexact;
2139 const int UnderflowStatus = APFloat::opUnderflow | APFloat::opInexact;
2141 const unsigned NumTests = 169;
2148 } SpecialCaseTests[NumTests] = {
2149 { PInf, PInf, "inf", APFloat::opOK, APFloat::fcInfinity },
2150 { PInf, MInf, "-inf", APFloat::opOK, APFloat::fcInfinity },
2151 { PInf, PZero, "nan", APFloat::opInvalidOp, APFloat::fcNaN },
2152 { PInf, MZero, "nan", APFloat::opInvalidOp, APFloat::fcNaN },
2153 { PInf, QNaN, "nan", APFloat::opOK, APFloat::fcNaN },
2156 { PInf, SNaN, "nan", APFloat::opInvalidOp, APFloat::fcNaN },
2158 { PInf, PNormalValue, "inf", APFloat::opOK, APFloat::fcInfinity },
2159 { PInf, MNormalValue, "-inf", APFloat::opOK, APFloat::fcInfinity },
2160 { PInf, PLargestValue, "inf", APFloat::opOK, APFloat::fcInfinity },
2161 { PInf, MLargestValue, "-inf", APFloat::opOK, APFloat::fcInfinity },
2162 { PInf, PSmallestValue, "inf", APFloat::opOK, APFloat::fcInfinity },
2163 { PInf, MSmallestValue, "-inf", APFloat::opOK, APFloat::fcInfinity },
2164 { PInf, PSmallestNormalized, "inf", APFloat::opOK, APFloat::fcInfinity },
2165 { PInf, MSmallestNormalized, "-inf", APFloat::opOK, APFloat::fcInfinity },
2166 { MInf, PInf, "-inf", APFloat::opOK, APFloat::fcInfinity },
2167 { MInf, MInf, "inf", APFloat::opOK, APFloat::fcInfinity },
2168 { MInf, PZero, "nan", APFloat::opInvalidOp, APFloat::fcNaN },
2169 { MInf, MZero, "nan", APFloat::opInvalidOp, APFloat::fcNaN },
2171 { MInf, QNaN, "-nan", APFloat::opOK, APFloat::fcNaN },
2174 { MInf, SNaN, "nan", APFloat::opInvalidOp, APFloat::fcNaN },
2176 { MInf, PNormalValue, "-inf", APFloat::opOK, APFloat::fcInfinity },
2177 { MInf, MNormalValue, "inf", APFloat::opOK, APFloat::fcInfinity },
2178 { MInf, PLargestValue, "-inf", APFloat::opOK, APFloat::fcInfinity },
2179 { MInf, MLargestValue, "inf", APFloat::opOK, APFloat::fcInfinity },
2180 { MInf, PSmallestValue, "-inf", APFloat::opOK, APFloat::fcInfinity },
2181 { MInf, MSmallestValue, "inf", APFloat::opOK, APFloat::fcInfinity },
2182 { MInf, PSmallestNormalized, "-inf", APFloat::opOK, APFloat::fcInfinity },
2183 { MInf, MSmallestNormalized, "inf", APFloat::opOK, APFloat::fcInfinity },
2184 { PZero, PInf, "nan", APFloat::opInvalidOp, APFloat::fcNaN },
2185 { PZero, MInf, "nan", APFloat::opInvalidOp, APFloat::fcNaN },
2186 { PZero, PZero, "0x0p+0", APFloat::opOK, APFloat::fcZero },
2187 { PZero, MZero, "-0x0p+0", APFloat::opOK, APFloat::fcZero },
2188 { PZero, QNaN, "nan", APFloat::opOK, APFloat::fcNaN },
2191 { PZero, SNaN, "nan", APFloat::opInvalidOp, APFloat::fcNaN },
2193 { PZero, PNormalValue, "0x0p+0", APFloat::opOK, APFloat::fcZero },
2194 { PZero, MNormalValue, "-0x0p+0", APFloat::opOK, APFloat::fcZero },
2195 { PZero, PLargestValue, "0x0p+0", APFloat::opOK, APFloat::fcZero },
2196 { PZero, MLargestValue, "-0x0p+0", APFloat::opOK, APFloat::fcZero },
2197 { PZero, PSmallestValue, "0x0p+0", APFloat::opOK, APFloat::fcZero },
2198 { PZero, MSmallestValue, "-0x0p+0", APFloat::opOK, APFloat::fcZero },
2199 { PZero, PSmallestNormalized, "0x0p+0", APFloat::opOK, APFloat::fcZero },
2200 { PZero, MSmallestNormalized, "-0x0p+0", APFloat::opOK, APFloat::fcZero },
2201 { MZero, PInf, "nan", APFloat::opInvalidOp, APFloat::fcNaN },
2202 { MZero, MInf, "nan", APFloat::opInvalidOp, APFloat::fcNaN },
2203 { MZero, PZero, "-0x0p+0", APFloat::opOK, APFloat::fcZero },
2204 { MZero, MZero, "0x0p+0", APFloat::opOK, APFloat::fcZero },
2206 { MZero, QNaN, "-nan", APFloat::opOK, APFloat::fcNaN },
2209 { MZero, SNaN, "nan", APFloat::opInvalidOp, APFloat::fcNaN },
2211 { MZero, PNormalValue, "-0x0p+0", APFloat::opOK, APFloat::fcZero },
2212 { MZero, MNormalValue, "0x0p+0", APFloat::opOK, APFloat::fcZero },
2213 { MZero, PLargestValue, "-0x0p+0", APFloat::opOK, APFloat::fcZero },
2214 { MZero, MLargestValue, "0x0p+0", APFloat::opOK, APFloat::fcZero },
2215 { MZero, PSmallestValue, "-0x0p+0", APFloat::opOK, APFloat::fcZero },
2216 { MZero, MSmallestValue, "0x0p+0", APFloat::opOK, APFloat::fcZero },
2217 { MZero, PSmallestNormalized, "-0x0p+0", APFloat::opOK, APFloat::fcZero },
2218 { MZero, MSmallestNormalized, "0x0p+0", APFloat::opOK, APFloat::fcZero },
2219 { QNaN, PInf, "nan", APFloat::opOK, APFloat::fcNaN },
2221 { QNaN, MInf, "-nan", APFloat::opOK, APFloat::fcNaN },
2222 { QNaN, PZero, "nan", APFloat::opOK, APFloat::fcNaN },
2224 { QNaN, MZero, "-nan", APFloat::opOK, APFloat::fcNaN },
2225 { QNaN, QNaN, "nan", APFloat::opOK, APFloat::fcNaN },
2228 { QNaN, SNaN, "nan", APFloat::opInvalidOp, APFloat::fcNaN },
2230 { QNaN, PNormalValue, "nan", APFloat::opOK, APFloat::fcNaN },
2232 { QNaN, MNormalValue, "-nan", APFloat::opOK, APFloat::fcNaN },
2233 { QNaN, PLargestValue, "nan", APFloat::opOK, APFloat::fcNaN },
2235 { QNaN, MLargestValue, "-nan", APFloat::opOK, APFloat::fcNaN },
2236 { QNaN, PSmallestValue, "nan", APFloat::opOK, APFloat::fcNaN },
2238 { QNaN, MSmallestValue, "-nan", APFloat::opOK, APFloat::fcNaN },
2239 { QNaN, PSmallestNormalized, "nan", APFloat::opOK, APFloat::fcNaN },
2241 { QNaN, MSmallestNormalized, "-nan", APFloat::opOK, APFloat::fcNaN },
2244 { SNaN, PInf, "nan", APFloat::opInvalidOp, APFloat::fcNaN },
2245 { SNaN, MInf, "nan", APFloat::opInvalidOp, APFloat::fcNaN },
2246 { SNaN, PZero, "nan", APFloat::opInvalidOp, APFloat::fcNaN },
2247 { SNaN, MZero, "nan", APFloat::opInvalidOp, APFloat::fcNaN },
2248 { SNaN, QNaN, "nan", APFloat::opInvalidOp, APFloat::fcNaN },
2249 { SNaN, SNaN, "nan", APFloat::opInvalidOp, APFloat::fcNaN },
2250 { SNaN, PNormalValue, "nan", APFloat::opInvalidOp, APFloat::fcNaN },
2251 { SNaN, MNormalValue, "nan", APFloat::opInvalidOp, APFloat::fcNaN },
2252 { SNaN, PLargestValue, "nan", APFloat::opInvalidOp, APFloat::fcNaN },
2253 { SNaN, MLargestValue, "nan", APFloat::opInvalidOp, APFloat::fcNaN },
2254 { SNaN, PSmallestValue, "nan", APFloat::opInvalidOp, APFloat::fcNaN },
2255 { SNaN, MSmallestValue, "nan", APFloat::opInvalidOp, APFloat::fcNaN },
2256 { SNaN, PSmallestNormalized, "nan", APFloat::opInvalidOp, APFloat::fcNaN },
2257 { SNaN, MSmallestNormalized, "nan", APFloat::opInvalidOp, APFloat::fcNaN },
2259 { PNormalValue, PInf, "inf", APFloat::opOK, APFloat::fcInfinity },
2260 { PNormalValue, MInf, "-inf", APFloat::opOK, APFloat::fcInfinity },
2261 { PNormalValue, PZero, "0x0p+0", APFloat::opOK, APFloat::fcZero },
2262 { PNormalValue, MZero, "-0x0p+0", APFloat::opOK, APFloat::fcZero },
2263 { PNormalValue, QNaN, "nan", APFloat::opOK, APFloat::fcNaN },
2266 { PNormalValue, SNaN, "nan", APFloat::opInvalidOp, APFloat::fcNaN },
2268 { PNormalValue, PNormalValue, "0x1p+0", APFloat::opOK, APFloat::fcNormal },
2269 { PNormalValue, MNormalValue, "-0x1p+0", APFloat::opOK, APFloat::fcNormal },
2270 { PNormalValue, PLargestValue, "0x1.fffffep+127", APFloat::opOK, APFloat::fcNormal },
2271 { PNormalValue, MLargestValue, "-0x1.fffffep+127", APFloat::opOK, APFloat::fcNormal },
2272 { PNormalValue, PSmallestValue, "0x1p-149", APFloat::opOK, APFloat::fcNormal },
2273 { PNormalValue, MSmallestValue, "-0x1p-149", APFloat::opOK, APFloat::fcNormal },
2274 { PNormalValue, PSmallestNormalized, "0x1p-126", APFloat::opOK, APFloat::fcNormal },
2275 { PNormalValue, MSmallestNormalized, "-0x1p-126", APFloat::opOK, APFloat::fcNormal },
2276 { MNormalValue, PInf, "-inf", APFloat::opOK, APFloat::fcInfinity },
2277 { MNormalValue, MInf, "inf", APFloat::opOK, APFloat::fcInfinity },
2278 { MNormalValue, PZero, "-0x0p+0", APFloat::opOK, APFloat::fcZero },
2279 { MNormalValue, MZero, "0x0p+0", APFloat::opOK, APFloat::fcZero },
2281 { MNormalValue, QNaN, "-nan", APFloat::opOK, APFloat::fcNaN },
2284 { MNormalValue, SNaN, "nan", APFloat::opInvalidOp, APFloat::fcNaN },
2286 { MNormalValue, PNormalValue, "-0x1p+0", APFloat::opOK, APFloat::fcNormal },
2287 { MNormalValue, MNormalValue, "0x1p+0", APFloat::opOK, APFloat::fcNormal },
2288 { MNormalValue, PLargestValue, "-0x1.fffffep+127", APFloat::opOK, APFloat::fcNormal },
2289 { MNormalValue, MLargestValue, "0x1.fffffep+127", APFloat::opOK, APFloat::fcNormal },
2290 { MNormalValue, PSmallestValue, "-0x1p-149", APFloat::opOK, APFloat::fcNormal },
2291 { MNormalValue, MSmallestValue, "0x1p-149", APFloat::opOK, APFloat::fcNormal },
2292 { MNormalValue, PSmallestNormalized, "-0x1p-126", APFloat::opOK, APFloat::fcNormal },
2293 { MNormalValue, MSmallestNormalized, "0x1p-126", APFloat::opOK, APFloat::fcNormal },
2294 { PLargestValue, PInf, "inf", APFloat::opOK, APFloat::fcInfinity },
2295 { PLargestValue, MInf, "-inf", APFloat::opOK, APFloat::fcInfinity },
2296 { PLargestValue, PZero, "0x0p+0", APFloat::opOK, APFloat::fcZero },
2297 { PLargestValue, MZero, "-0x0p+0", APFloat::opOK, APFloat::fcZero },
2298 { PLargestValue, QNaN, "nan", APFloat::opOK, APFloat::fcNaN },
2301 { PLargestValue, SNaN, "nan", APFloat::opInvalidOp, APFloat::fcNaN },
2303 { PLargestValue, PNormalValue, "0x1.fffffep+127", APFloat::opOK, APFloat::fcNormal },
2304 { PLargestValue, MNormalValue, "-0x1.fffffep+127", APFloat::opOK, APFloat::fcNormal },
2305 { PLargestValue, PLargestValue, "inf", OverflowStatus, APFloat::fcInfinity },
2306 { PLargestValue, MLargestValue, "-inf", OverflowStatus, APFloat::fcInfinity },
2307 { PLargestValue, PSmallestValue, "0x1.fffffep-22", APFloat::opOK, APFloat::fcNormal },
2308 { PLargestValue, MSmallestValue, "-0x1.fffffep-22", APFloat::opOK, APFloat::fcNormal },
2309 { PLargestValue, PSmallestNormalized, "0x1.fffffep+1", APFloat::opOK, APFloat::fcNormal },
2310 { PLargestValue, MSmallestNormalized, "-0x1.fffffep+1", APFloat::opOK, APFloat::fcNormal },
2311 { MLargestValue, PInf, "-inf", APFloat::opOK, APFloat::fcInfinity },
2312 { MLargestValue, MInf, "inf", APFloat::opOK, APFloat::fcInfinity },
2313 { MLargestValue, PZero, "-0x0p+0", APFloat::opOK, APFloat::fcZero },
2314 { MLargestValue, MZero, "0x0p+0", APFloat::opOK, APFloat::fcZero },
2316 { MLargestValue, QNaN, "-nan", APFloat::opOK, APFloat::fcNaN },
2319 { MLargestValue, SNaN, "nan", APFloat::opInvalidOp, APFloat::fcNaN },
2321 { MLargestValue, PNormalValue, "-0x1.fffffep+127", APFloat::opOK, APFloat::fcNormal },
2322 { MLargestValue, MNormalValue, "0x1.fffffep+127", APFloat::opOK, APFloat::fcNormal },
2323 { MLargestValue, PLargestValue, "-inf", OverflowStatus, APFloat::fcInfinity },
2324 { MLargestValue, MLargestValue, "inf", OverflowStatus, APFloat::fcInfinity },
2325 { MLargestValue, PSmallestValue, "-0x1.fffffep-22", APFloat::opOK, APFloat::fcNormal },
2326 { MLargestValue, MSmallestValue, "0x1.fffffep-22", APFloat::opOK, APFloat::fcNormal },
2327 { MLargestValue, PSmallestNormalized, "-0x1.fffffep+1", APFloat::opOK, APFloat::fcNormal },
2328 { MLargestValue, MSmallestNormalized, "0x1.fffffep+1", APFloat::opOK, APFloat::fcNormal },
2329 { PSmallestValue, PInf, "inf", APFloat::opOK, APFloat::fcInfinity },
2330 { PSmallestValue, MInf, "-inf", APFloat::opOK, APFloat::fcInfinity },
2331 { PSmallestValue, PZero, "0x0p+0", APFloat::opOK, APFloat::fcZero },
2332 { PSmallestValue, MZero, "-0x0p+0", APFloat::opOK, APFloat::fcZero },
2333 { PSmallestValue, QNaN, "nan", APFloat::opOK, APFloat::fcNaN },
2336 { PSmallestValue, SNaN, "nan", APFloat::opInvalidOp, APFloat::fcNaN },
2338 { PSmallestValue, PNormalValue, "0x1p-149", APFloat::opOK, APFloat::fcNormal },
2339 { PSmallestValue, MNormalValue, "-0x1p-149", APFloat::opOK, APFloat::fcNormal },
2340 { PSmallestValue, PLargestValue, "0x1.fffffep-22", APFloat::opOK, APFloat::fcNormal },
2341 { PSmallestValue, MLargestValue, "-0x1.fffffep-22", APFloat::opOK, APFloat::fcNormal },
2342 { PSmallestValue, PSmallestValue, "0x0p+0", UnderflowStatus, APFloat::fcZero },
2343 { PSmallestValue, MSmallestValue, "-0x0p+0", UnderflowStatus, APFloat::fcZero },
2344 { PSmallestValue, PSmallestNormalized, "0x0p+0", UnderflowStatus, APFloat::fcZero },
2345 { PSmallestValue, MSmallestNormalized, "-0x0p+0", UnderflowStatus, APFloat::fcZero },
2346 { MSmallestValue, PInf, "-inf", APFloat::opOK, APFloat::fcInfinity },
2347 { MSmallestValue, MInf, "inf", APFloat::opOK, APFloat::fcInfinity },
2348 { MSmallestValue, PZero, "-0x0p+0", APFloat::opOK, APFloat::fcZero },
2349 { MSmallestValue, MZero, "0x0p+0", APFloat::opOK, APFloat::fcZero },
2351 { MSmallestValue, QNaN, "-nan", APFloat::opOK, APFloat::fcNaN },
2354 { MSmallestValue, SNaN, "nan", APFloat::opInvalidOp, APFloat::fcNaN },
2356 { MSmallestValue, PNormalValue, "-0x1p-149", APFloat::opOK, APFloat::fcNormal },
2357 { MSmallestValue, MNormalValue, "0x1p-149", APFloat::opOK, APFloat::fcNormal },
2358 { MSmallestValue, PLargestValue, "-0x1.fffffep-22", APFloat::opOK, APFloat::fcNormal },
2359 { MSmallestValue, MLargestValue, "0x1.fffffep-22", APFloat::opOK, APFloat::fcNormal },
2360 { MSmallestValue, PSmallestValue, "-0x0p+0", UnderflowStatus, APFloat::fcZero },
2361 { MSmallestValue, MSmallestValue, "0x0p+0", UnderflowStatus, APFloat::fcZero },
2362 { MSmallestValue, PSmallestNormalized, "-0x0p+0", UnderflowStatus, APFloat::fcZero },
2363 { MSmallestValue, MSmallestNormalized, "0x0p+0", UnderflowStatus, APFloat::fcZero },
2364 { PSmallestNormalized, PInf, "inf", APFloat::opOK, APFloat::fcInfinity },
2365 { PSmallestNormalized, MInf, "-inf", APFloat::opOK, APFloat::fcInfinity },
2366 { PSmallestNormalized, PZero, "0x0p+0", APFloat::opOK, APFloat::fcZero },
2367 { PSmallestNormalized, MZero, "-0x0p+0", APFloat::opOK, APFloat::fcZero },
2368 { PSmallestNormalized, QNaN, "nan", APFloat::opOK, APFloat::fcNaN },
2371 { PSmallestNormalized, SNaN, "nan", APFloat::opInvalidOp, APFloat::fcNaN },
2373 { PSmallestNormalized, PNormalValue, "0x1p-126", APFloat::opOK, APFloat::fcNormal },
2374 { PSmallestNormalized, MNormalValue, "-0x1p-126", APFloat::opOK, APFloat::fcNormal },
2375 { PSmallestNormalized, PLargestValue, "0x1.fffffep+1", APFloat::opOK, APFloat::fcNormal },
2376 { PSmallestNormalized, MLargestValue, "-0x1.fffffep+1", APFloat::opOK, APFloat::fcNormal },
2377 { PSmallestNormalized, PSmallestValue, "0x0p+0", UnderflowStatus, APFloat::fcZero },
2378 { PSmallestNormalized, MSmallestValue, "-0x0p+0", UnderflowStatus, APFloat::fcZero },
2379 { PSmallestNormalized, PSmallestNormalized, "0x0p+0", UnderflowStatus, APFloat::fcZero },
2380 { PSmallestNormalized, MSmallestNormalized, "-0x0p+0", UnderflowStatus, APFloat::fcZero },
2381 { MSmallestNormalized, PInf, "-inf", APFloat::opOK, APFloat::fcInfinity },
2382 { MSmallestNormalized, MInf, "inf", APFloat::opOK, APFloat::fcInfinity },
2383 { MSmallestNormalized, PZero, "-0x0p+0", APFloat::opOK, APFloat::fcZero },
2384 { MSmallestNormalized, MZero, "0x0p+0", APFloat::opOK, APFloat::fcZero },
2386 { MSmallestNormalized, QNaN, "-nan", APFloat::opOK, APFloat::fcNaN },
2389 { MSmallestNormalized, SNaN, "nan", APFloat::opInvalidOp, APFloat::fcNaN },
2391 { MSmallestNormalized, PNormalValue, "-0x1p-126", APFloat::opOK, APFloat::fcNormal },
2392 { MSmallestNormalized, MNormalValue, "0x1p-126", APFloat::opOK, APFloat::fcNormal },
2393 { MSmallestNormalized, PLargestValue, "-0x1.fffffep+1", APFloat::opOK, APFloat::fcNormal },
2394 { MSmallestNormalized, MLargestValue, "0x1.fffffep+1", APFloat::opOK, APFloat::fcNormal },
2395 { MSmallestNormalized, PSmallestValue, "-0x0p+0", UnderflowStatus, APFloat::fcZero },
2396 { MSmallestNormalized, MSmallestValue, "0x0p+0", UnderflowStatus, APFloat::fcZero },
2397 { MSmallestNormalized, PSmallestNormalized, "-0x0p+0", UnderflowStatus, APFloat::fcZero },
2398 { MSmallestNormalized, MSmallestNormalized, "0x0p+0", UnderflowStatus, APFloat::fcZero }
2401 for (size_t i = 0; i < NumTests; ++i) {
2402 APFloat x(SpecialCaseTests[i].x);
2403 APFloat y(SpecialCaseTests[i].y);
2404 APFloat::opStatus status = x.multiply(y, APFloat::rmNearestTiesToEven);
2406 APFloat result(APFloat::IEEEsingle, SpecialCaseTests[i].result);
2408 EXPECT_TRUE(result.bitwiseIsEqual(x));
2409 EXPECT_TRUE((int)status == SpecialCaseTests[i].status);
2410 EXPECT_TRUE((int)x.getCategory() == SpecialCaseTests[i].category);
2414 TEST(APFloatTest, divide) {
2415 // Test Special Cases against each other and normal values.
2418 // 1. Since we perform only default exception handling all operations with
2419 // signaling NaNs should have a result that is a quiet NaN. Currently they
2421 // 2. It seems that divide(-x, NaN) = divide(NaN, -x) = -NaN. IEEE-754R
2422 // leaves the meaning of the sign of NaNs as unspecified. To simplify things,
2423 // we should just assume that NaN is always positive. I will fix this.
2425 APFloat PInf = APFloat::getInf(APFloat::IEEEsingle, false);
2426 APFloat MInf = APFloat::getInf(APFloat::IEEEsingle, true);
2427 APFloat PZero = APFloat::getZero(APFloat::IEEEsingle, false);
2428 APFloat MZero = APFloat::getZero(APFloat::IEEEsingle, true);
2429 APFloat QNaN = APFloat::getNaN(APFloat::IEEEsingle, false);
2430 APFloat SNaN = APFloat::getSNaN(APFloat::IEEEsingle, false);
2431 APFloat PNormalValue = APFloat(APFloat::IEEEsingle, "0x1p+0");
2432 APFloat MNormalValue = APFloat(APFloat::IEEEsingle, "-0x1p+0");
2433 APFloat PLargestValue = APFloat::getLargest(APFloat::IEEEsingle, false);
2434 APFloat MLargestValue = APFloat::getLargest(APFloat::IEEEsingle, true);
2435 APFloat PSmallestValue = APFloat::getSmallest(APFloat::IEEEsingle, false);
2436 APFloat MSmallestValue = APFloat::getSmallest(APFloat::IEEEsingle, true);
2437 APFloat PSmallestNormalized =
2438 APFloat::getSmallestNormalized(APFloat::IEEEsingle, false);
2439 APFloat MSmallestNormalized =
2440 APFloat::getSmallestNormalized(APFloat::IEEEsingle, true);
2442 const int OverflowStatus = APFloat::opOverflow | APFloat::opInexact;
2443 const int UnderflowStatus = APFloat::opUnderflow | APFloat::opInexact;
2445 const unsigned NumTests = 169;
2452 } SpecialCaseTests[NumTests] = {
2453 { PInf, PInf, "nan", APFloat::opInvalidOp, APFloat::fcNaN },
2454 { PInf, MInf, "nan", APFloat::opInvalidOp, APFloat::fcNaN },
2455 { PInf, PZero, "inf", APFloat::opOK, APFloat::fcInfinity },
2456 { PInf, MZero, "-inf", APFloat::opOK, APFloat::fcInfinity },
2457 { PInf, QNaN, "nan", APFloat::opOK, APFloat::fcNaN },
2460 { PInf, SNaN, "nan", APFloat::opInvalidOp, APFloat::fcNaN },
2462 { PInf, PNormalValue, "inf", APFloat::opOK, APFloat::fcInfinity },
2463 { PInf, MNormalValue, "-inf", APFloat::opOK, APFloat::fcInfinity },
2464 { PInf, PLargestValue, "inf", APFloat::opOK, APFloat::fcInfinity },
2465 { PInf, MLargestValue, "-inf", APFloat::opOK, APFloat::fcInfinity },
2466 { PInf, PSmallestValue, "inf", APFloat::opOK, APFloat::fcInfinity },
2467 { PInf, MSmallestValue, "-inf", APFloat::opOK, APFloat::fcInfinity },
2468 { PInf, PSmallestNormalized, "inf", APFloat::opOK, APFloat::fcInfinity },
2469 { PInf, MSmallestNormalized, "-inf", APFloat::opOK, APFloat::fcInfinity },
2470 { MInf, PInf, "nan", APFloat::opInvalidOp, APFloat::fcNaN },
2471 { MInf, MInf, "nan", APFloat::opInvalidOp, APFloat::fcNaN },
2472 { MInf, PZero, "-inf", APFloat::opOK, APFloat::fcInfinity },
2473 { MInf, MZero, "inf", APFloat::opOK, APFloat::fcInfinity },
2475 { MInf, QNaN, "-nan", APFloat::opOK, APFloat::fcNaN },
2478 { MInf, SNaN, "nan", APFloat::opInvalidOp, APFloat::fcNaN },
2480 { MInf, PNormalValue, "-inf", APFloat::opOK, APFloat::fcInfinity },
2481 { MInf, MNormalValue, "inf", APFloat::opOK, APFloat::fcInfinity },
2482 { MInf, PLargestValue, "-inf", APFloat::opOK, APFloat::fcInfinity },
2483 { MInf, MLargestValue, "inf", APFloat::opOK, APFloat::fcInfinity },
2484 { MInf, PSmallestValue, "-inf", APFloat::opOK, APFloat::fcInfinity },
2485 { MInf, MSmallestValue, "inf", APFloat::opOK, APFloat::fcInfinity },
2486 { MInf, PSmallestNormalized, "-inf", APFloat::opOK, APFloat::fcInfinity },
2487 { MInf, MSmallestNormalized, "inf", APFloat::opOK, APFloat::fcInfinity },
2488 { PZero, PInf, "0x0p+0", APFloat::opOK, APFloat::fcZero },
2489 { PZero, MInf, "-0x0p+0", APFloat::opOK, APFloat::fcZero },
2490 { PZero, PZero, "nan", APFloat::opInvalidOp, APFloat::fcNaN },
2491 { PZero, MZero, "nan", APFloat::opInvalidOp, APFloat::fcNaN },
2492 { PZero, QNaN, "nan", APFloat::opOK, APFloat::fcNaN },
2495 { PZero, SNaN, "nan", APFloat::opInvalidOp, APFloat::fcNaN },
2497 { PZero, PNormalValue, "0x0p+0", APFloat::opOK, APFloat::fcZero },
2498 { PZero, MNormalValue, "-0x0p+0", APFloat::opOK, APFloat::fcZero },
2499 { PZero, PLargestValue, "0x0p+0", APFloat::opOK, APFloat::fcZero },
2500 { PZero, MLargestValue, "-0x0p+0", APFloat::opOK, APFloat::fcZero },
2501 { PZero, PSmallestValue, "0x0p+0", APFloat::opOK, APFloat::fcZero },
2502 { PZero, MSmallestValue, "-0x0p+0", APFloat::opOK, APFloat::fcZero },
2503 { PZero, PSmallestNormalized, "0x0p+0", APFloat::opOK, APFloat::fcZero },
2504 { PZero, MSmallestNormalized, "-0x0p+0", APFloat::opOK, APFloat::fcZero },
2505 { MZero, PInf, "-0x0p+0", APFloat::opOK, APFloat::fcZero },
2506 { MZero, MInf, "0x0p+0", APFloat::opOK, APFloat::fcZero },
2507 { MZero, PZero, "nan", APFloat::opInvalidOp, APFloat::fcNaN },
2508 { MZero, MZero, "nan", APFloat::opInvalidOp, APFloat::fcNaN },
2510 { MZero, QNaN, "-nan", APFloat::opOK, APFloat::fcNaN },
2513 { MZero, SNaN, "nan", APFloat::opInvalidOp, APFloat::fcNaN },
2515 { MZero, PNormalValue, "-0x0p+0", APFloat::opOK, APFloat::fcZero },
2516 { MZero, MNormalValue, "0x0p+0", APFloat::opOK, APFloat::fcZero },
2517 { MZero, PLargestValue, "-0x0p+0", APFloat::opOK, APFloat::fcZero },
2518 { MZero, MLargestValue, "0x0p+0", APFloat::opOK, APFloat::fcZero },
2519 { MZero, PSmallestValue, "-0x0p+0", APFloat::opOK, APFloat::fcZero },
2520 { MZero, MSmallestValue, "0x0p+0", APFloat::opOK, APFloat::fcZero },
2521 { MZero, PSmallestNormalized, "-0x0p+0", APFloat::opOK, APFloat::fcZero },
2522 { MZero, MSmallestNormalized, "0x0p+0", APFloat::opOK, APFloat::fcZero },
2523 { QNaN, PInf, "nan", APFloat::opOK, APFloat::fcNaN },
2525 { QNaN, MInf, "-nan", APFloat::opOK, APFloat::fcNaN },
2526 { QNaN, PZero, "nan", APFloat::opOK, APFloat::fcNaN },
2528 { QNaN, MZero, "-nan", APFloat::opOK, APFloat::fcNaN },
2529 { QNaN, QNaN, "nan", APFloat::opOK, APFloat::fcNaN },
2532 { QNaN, SNaN, "nan", APFloat::opInvalidOp, APFloat::fcNaN },
2534 { QNaN, PNormalValue, "nan", APFloat::opOK, APFloat::fcNaN },
2536 { QNaN, MNormalValue, "-nan", APFloat::opOK, APFloat::fcNaN },
2537 { QNaN, PLargestValue, "nan", APFloat::opOK, APFloat::fcNaN },
2539 { QNaN, MLargestValue, "-nan", APFloat::opOK, APFloat::fcNaN },
2540 { QNaN, PSmallestValue, "nan", APFloat::opOK, APFloat::fcNaN },
2542 { QNaN, MSmallestValue, "-nan", APFloat::opOK, APFloat::fcNaN },
2543 { QNaN, PSmallestNormalized, "nan", APFloat::opOK, APFloat::fcNaN },
2545 { QNaN, MSmallestNormalized, "-nan", APFloat::opOK, APFloat::fcNaN },
2548 { SNaN, PInf, "nan", APFloat::opInvalidOp, APFloat::fcNaN },
2549 { SNaN, MInf, "nan", APFloat::opInvalidOp, APFloat::fcNaN },
2550 { SNaN, PZero, "nan", APFloat::opInvalidOp, APFloat::fcNaN },
2551 { SNaN, MZero, "nan", APFloat::opInvalidOp, APFloat::fcNaN },
2552 { SNaN, QNaN, "nan", APFloat::opInvalidOp, APFloat::fcNaN },
2553 { SNaN, SNaN, "nan", APFloat::opInvalidOp, APFloat::fcNaN },
2554 { SNaN, PNormalValue, "nan", APFloat::opInvalidOp, APFloat::fcNaN },
2555 { SNaN, MNormalValue, "nan", APFloat::opInvalidOp, APFloat::fcNaN },
2556 { SNaN, PLargestValue, "nan", APFloat::opInvalidOp, APFloat::fcNaN },
2557 { SNaN, MLargestValue, "nan", APFloat::opInvalidOp, APFloat::fcNaN },
2558 { SNaN, PSmallestValue, "nan", APFloat::opInvalidOp, APFloat::fcNaN },
2559 { SNaN, MSmallestValue, "nan", APFloat::opInvalidOp, APFloat::fcNaN },
2560 { SNaN, PSmallestNormalized, "nan", APFloat::opInvalidOp, APFloat::fcNaN },
2561 { SNaN, MSmallestNormalized, "nan", APFloat::opInvalidOp, APFloat::fcNaN },
2563 { PNormalValue, PInf, "0x0p+0", APFloat::opOK, APFloat::fcZero },
2564 { PNormalValue, MInf, "-0x0p+0", APFloat::opOK, APFloat::fcZero },
2565 { PNormalValue, PZero, "inf", APFloat::opDivByZero, APFloat::fcInfinity },
2566 { PNormalValue, MZero, "-inf", APFloat::opDivByZero, APFloat::fcInfinity },
2567 { PNormalValue, QNaN, "nan", APFloat::opOK, APFloat::fcNaN },
2570 { PNormalValue, SNaN, "nan", APFloat::opInvalidOp, APFloat::fcNaN },
2572 { PNormalValue, PNormalValue, "0x1p+0", APFloat::opOK, APFloat::fcNormal },
2573 { PNormalValue, MNormalValue, "-0x1p+0", APFloat::opOK, APFloat::fcNormal },
2574 { PNormalValue, PLargestValue, "0x1p-128", UnderflowStatus, APFloat::fcNormal },
2575 { PNormalValue, MLargestValue, "-0x1p-128", UnderflowStatus, APFloat::fcNormal },
2576 { PNormalValue, PSmallestValue, "inf", OverflowStatus, APFloat::fcInfinity },
2577 { PNormalValue, MSmallestValue, "-inf", OverflowStatus, APFloat::fcInfinity },
2578 { PNormalValue, PSmallestNormalized, "0x1p+126", APFloat::opOK, APFloat::fcNormal },
2579 { PNormalValue, MSmallestNormalized, "-0x1p+126", APFloat::opOK, APFloat::fcNormal },
2580 { MNormalValue, PInf, "-0x0p+0", APFloat::opOK, APFloat::fcZero },
2581 { MNormalValue, MInf, "0x0p+0", APFloat::opOK, APFloat::fcZero },
2582 { MNormalValue, PZero, "-inf", APFloat::opDivByZero, APFloat::fcInfinity },
2583 { MNormalValue, MZero, "inf", APFloat::opDivByZero, APFloat::fcInfinity },
2585 { MNormalValue, QNaN, "-nan", APFloat::opOK, APFloat::fcNaN },
2588 { MNormalValue, SNaN, "nan", APFloat::opInvalidOp, APFloat::fcNaN },
2590 { MNormalValue, PNormalValue, "-0x1p+0", APFloat::opOK, APFloat::fcNormal },
2591 { MNormalValue, MNormalValue, "0x1p+0", APFloat::opOK, APFloat::fcNormal },
2592 { MNormalValue, PLargestValue, "-0x1p-128", UnderflowStatus, APFloat::fcNormal },
2593 { MNormalValue, MLargestValue, "0x1p-128", UnderflowStatus, APFloat::fcNormal },
2594 { MNormalValue, PSmallestValue, "-inf", OverflowStatus, APFloat::fcInfinity },
2595 { MNormalValue, MSmallestValue, "inf", OverflowStatus, APFloat::fcInfinity },
2596 { MNormalValue, PSmallestNormalized, "-0x1p+126", APFloat::opOK, APFloat::fcNormal },
2597 { MNormalValue, MSmallestNormalized, "0x1p+126", APFloat::opOK, APFloat::fcNormal },
2598 { PLargestValue, PInf, "0x0p+0", APFloat::opOK, APFloat::fcZero },
2599 { PLargestValue, MInf, "-0x0p+0", APFloat::opOK, APFloat::fcZero },
2600 { PLargestValue, PZero, "inf", APFloat::opDivByZero, APFloat::fcInfinity },
2601 { PLargestValue, MZero, "-inf", APFloat::opDivByZero, APFloat::fcInfinity },
2602 { PLargestValue, QNaN, "nan", APFloat::opOK, APFloat::fcNaN },
2605 { PLargestValue, SNaN, "nan", APFloat::opInvalidOp, APFloat::fcNaN },
2607 { PLargestValue, PNormalValue, "0x1.fffffep+127", APFloat::opOK, APFloat::fcNormal },
2608 { PLargestValue, MNormalValue, "-0x1.fffffep+127", APFloat::opOK, APFloat::fcNormal },
2609 { PLargestValue, PLargestValue, "0x1p+0", APFloat::opOK, APFloat::fcNormal },
2610 { PLargestValue, MLargestValue, "-0x1p+0", APFloat::opOK, APFloat::fcNormal },
2611 { PLargestValue, PSmallestValue, "inf", OverflowStatus, APFloat::fcInfinity },
2612 { PLargestValue, MSmallestValue, "-inf", OverflowStatus, APFloat::fcInfinity },
2613 { PLargestValue, PSmallestNormalized, "inf", OverflowStatus, APFloat::fcInfinity },
2614 { PLargestValue, MSmallestNormalized, "-inf", OverflowStatus, APFloat::fcInfinity },
2615 { MLargestValue, PInf, "-0x0p+0", APFloat::opOK, APFloat::fcZero },
2616 { MLargestValue, MInf, "0x0p+0", APFloat::opOK, APFloat::fcZero },
2617 { MLargestValue, PZero, "-inf", APFloat::opDivByZero, APFloat::fcInfinity },
2618 { MLargestValue, MZero, "inf", APFloat::opDivByZero, APFloat::fcInfinity },
2620 { MLargestValue, QNaN, "-nan", APFloat::opOK, APFloat::fcNaN },
2623 { MLargestValue, SNaN, "nan", APFloat::opInvalidOp, APFloat::fcNaN },
2625 { MLargestValue, PNormalValue, "-0x1.fffffep+127", APFloat::opOK, APFloat::fcNormal },
2626 { MLargestValue, MNormalValue, "0x1.fffffep+127", APFloat::opOK, APFloat::fcNormal },
2627 { MLargestValue, PLargestValue, "-0x1p+0", APFloat::opOK, APFloat::fcNormal },
2628 { MLargestValue, MLargestValue, "0x1p+0", APFloat::opOK, APFloat::fcNormal },
2629 { MLargestValue, PSmallestValue, "-inf", OverflowStatus, APFloat::fcInfinity },
2630 { MLargestValue, MSmallestValue, "inf", OverflowStatus, APFloat::fcInfinity },
2631 { MLargestValue, PSmallestNormalized, "-inf", OverflowStatus, APFloat::fcInfinity },
2632 { MLargestValue, MSmallestNormalized, "inf", OverflowStatus, APFloat::fcInfinity },
2633 { PSmallestValue, PInf, "0x0p+0", APFloat::opOK, APFloat::fcZero },
2634 { PSmallestValue, MInf, "-0x0p+0", APFloat::opOK, APFloat::fcZero },
2635 { PSmallestValue, PZero, "inf", APFloat::opDivByZero, APFloat::fcInfinity },
2636 { PSmallestValue, MZero, "-inf", APFloat::opDivByZero, APFloat::fcInfinity },
2637 { PSmallestValue, QNaN, "nan", APFloat::opOK, APFloat::fcNaN },
2640 { PSmallestValue, SNaN, "nan", APFloat::opInvalidOp, APFloat::fcNaN },
2642 { PSmallestValue, PNormalValue, "0x1p-149", APFloat::opOK, APFloat::fcNormal },
2643 { PSmallestValue, MNormalValue, "-0x1p-149", APFloat::opOK, APFloat::fcNormal },
2644 { PSmallestValue, PLargestValue, "0x0p+0", UnderflowStatus, APFloat::fcZero },
2645 { PSmallestValue, MLargestValue, "-0x0p+0", UnderflowStatus, APFloat::fcZero },
2646 { PSmallestValue, PSmallestValue, "0x1p+0", APFloat::opOK, APFloat::fcNormal },
2647 { PSmallestValue, MSmallestValue, "-0x1p+0", APFloat::opOK, APFloat::fcNormal },
2648 { PSmallestValue, PSmallestNormalized, "0x1p-23", APFloat::opOK, APFloat::fcNormal },
2649 { PSmallestValue, MSmallestNormalized, "-0x1p-23", APFloat::opOK, APFloat::fcNormal },
2650 { MSmallestValue, PInf, "-0x0p+0", APFloat::opOK, APFloat::fcZero },
2651 { MSmallestValue, MInf, "0x0p+0", APFloat::opOK, APFloat::fcZero },
2652 { MSmallestValue, PZero, "-inf", APFloat::opDivByZero, APFloat::fcInfinity },
2653 { MSmallestValue, MZero, "inf", APFloat::opDivByZero, APFloat::fcInfinity },
2655 { MSmallestValue, QNaN, "-nan", APFloat::opOK, APFloat::fcNaN },
2658 { MSmallestValue, SNaN, "nan", APFloat::opInvalidOp, APFloat::fcNaN },
2660 { MSmallestValue, PNormalValue, "-0x1p-149", APFloat::opOK, APFloat::fcNormal },
2661 { MSmallestValue, MNormalValue, "0x1p-149", APFloat::opOK, APFloat::fcNormal },
2662 { MSmallestValue, PLargestValue, "-0x0p+0", UnderflowStatus, APFloat::fcZero },
2663 { MSmallestValue, MLargestValue, "0x0p+0", UnderflowStatus, APFloat::fcZero },
2664 { MSmallestValue, PSmallestValue, "-0x1p+0", APFloat::opOK, APFloat::fcNormal },
2665 { MSmallestValue, MSmallestValue, "0x1p+0", APFloat::opOK, APFloat::fcNormal },
2666 { MSmallestValue, PSmallestNormalized, "-0x1p-23", APFloat::opOK, APFloat::fcNormal },
2667 { MSmallestValue, MSmallestNormalized, "0x1p-23", APFloat::opOK, APFloat::fcNormal },
2668 { PSmallestNormalized, PInf, "0x0p+0", APFloat::opOK, APFloat::fcZero },
2669 { PSmallestNormalized, MInf, "-0x0p+0", APFloat::opOK, APFloat::fcZero },
2670 { PSmallestNormalized, PZero, "inf", APFloat::opDivByZero, APFloat::fcInfinity },
2671 { PSmallestNormalized, MZero, "-inf", APFloat::opDivByZero, APFloat::fcInfinity },
2672 { PSmallestNormalized, QNaN, "nan", APFloat::opOK, APFloat::fcNaN },
2675 { PSmallestNormalized, SNaN, "nan", APFloat::opInvalidOp, APFloat::fcNaN },
2677 { PSmallestNormalized, PNormalValue, "0x1p-126", APFloat::opOK, APFloat::fcNormal },
2678 { PSmallestNormalized, MNormalValue, "-0x1p-126", APFloat::opOK, APFloat::fcNormal },
2679 { PSmallestNormalized, PLargestValue, "0x0p+0", UnderflowStatus, APFloat::fcZero },
2680 { PSmallestNormalized, MLargestValue, "-0x0p+0", UnderflowStatus, APFloat::fcZero },
2681 { PSmallestNormalized, PSmallestValue, "0x1p+23", APFloat::opOK, APFloat::fcNormal },
2682 { PSmallestNormalized, MSmallestValue, "-0x1p+23", APFloat::opOK, APFloat::fcNormal },
2683 { PSmallestNormalized, PSmallestNormalized, "0x1p+0", APFloat::opOK, APFloat::fcNormal },
2684 { PSmallestNormalized, MSmallestNormalized, "-0x1p+0", APFloat::opOK, APFloat::fcNormal },
2685 { MSmallestNormalized, PInf, "-0x0p+0", APFloat::opOK, APFloat::fcZero },
2686 { MSmallestNormalized, MInf, "0x0p+0", APFloat::opOK, APFloat::fcZero },
2687 { MSmallestNormalized, PZero, "-inf", APFloat::opDivByZero, APFloat::fcInfinity },
2688 { MSmallestNormalized, MZero, "inf", APFloat::opDivByZero, APFloat::fcInfinity },
2690 { MSmallestNormalized, QNaN, "-nan", APFloat::opOK, APFloat::fcNaN },
2693 { MSmallestNormalized, SNaN, "nan", APFloat::opInvalidOp, APFloat::fcNaN },
2695 { MSmallestNormalized, PNormalValue, "-0x1p-126", APFloat::opOK, APFloat::fcNormal },
2696 { MSmallestNormalized, MNormalValue, "0x1p-126", APFloat::opOK, APFloat::fcNormal },
2697 { MSmallestNormalized, PLargestValue, "-0x0p+0", UnderflowStatus, APFloat::fcZero },
2698 { MSmallestNormalized, MLargestValue, "0x0p+0", UnderflowStatus, APFloat::fcZero },
2699 { MSmallestNormalized, PSmallestValue, "-0x1p+23", APFloat::opOK, APFloat::fcNormal },
2700 { MSmallestNormalized, MSmallestValue, "0x1p+23", APFloat::opOK, APFloat::fcNormal },
2701 { MSmallestNormalized, PSmallestNormalized, "-0x1p+0", APFloat::opOK, APFloat::fcNormal },
2702 { MSmallestNormalized, MSmallestNormalized, "0x1p+0", APFloat::opOK, APFloat::fcNormal },
2705 for (size_t i = 0; i < NumTests; ++i) {
2706 APFloat x(SpecialCaseTests[i].x);
2707 APFloat y(SpecialCaseTests[i].y);
2708 APFloat::opStatus status = x.divide(y, APFloat::rmNearestTiesToEven);
2710 APFloat result(APFloat::IEEEsingle, SpecialCaseTests[i].result);
2712 EXPECT_TRUE(result.bitwiseIsEqual(x));
2713 EXPECT_TRUE((int)status == SpecialCaseTests[i].status);
2714 EXPECT_TRUE((int)x.getCategory() == SpecialCaseTests[i].category);