File: | llvm/lib/Support/APFloat.cpp |
Warning: | line 3158, column 19 Assigned value is garbage or undefined |
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1 | //===-- APFloat.cpp - Implement APFloat class -----------------------------===// | |||
2 | // | |||
3 | // Part of the LLVM Project, under the Apache License v2.0 with LLVM Exceptions. | |||
4 | // See https://llvm.org/LICENSE.txt for license information. | |||
5 | // SPDX-License-Identifier: Apache-2.0 WITH LLVM-exception | |||
6 | // | |||
7 | //===----------------------------------------------------------------------===// | |||
8 | // | |||
9 | // This file implements a class to represent arbitrary precision floating | |||
10 | // point values and provide a variety of arithmetic operations on them. | |||
11 | // | |||
12 | //===----------------------------------------------------------------------===// | |||
13 | ||||
14 | #include "llvm/ADT/APFloat.h" | |||
15 | #include "llvm/ADT/APSInt.h" | |||
16 | #include "llvm/ADT/ArrayRef.h" | |||
17 | #include "llvm/ADT/FoldingSet.h" | |||
18 | #include "llvm/ADT/Hashing.h" | |||
19 | #include "llvm/ADT/StringExtras.h" | |||
20 | #include "llvm/ADT/StringRef.h" | |||
21 | #include "llvm/Config/llvm-config.h" | |||
22 | #include "llvm/Support/Debug.h" | |||
23 | #include "llvm/Support/Error.h" | |||
24 | #include "llvm/Support/MathExtras.h" | |||
25 | #include "llvm/Support/raw_ostream.h" | |||
26 | #include <cstring> | |||
27 | #include <limits.h> | |||
28 | ||||
29 | #define APFLOAT_DISPATCH_ON_SEMANTICS(METHOD_CALL) \ | |||
30 | do { \ | |||
31 | if (usesLayout<IEEEFloat>(getSemantics())) \ | |||
32 | return U.IEEE.METHOD_CALL; \ | |||
33 | if (usesLayout<DoubleAPFloat>(getSemantics())) \ | |||
34 | return U.Double.METHOD_CALL; \ | |||
35 | llvm_unreachable("Unexpected semantics")::llvm::llvm_unreachable_internal("Unexpected semantics", "/build/llvm-toolchain-snapshot-11~++20200309111110+2c36c23f347/llvm/lib/Support/APFloat.cpp" , 35); \ | |||
36 | } while (false) | |||
37 | ||||
38 | using namespace llvm; | |||
39 | ||||
40 | /// A macro used to combine two fcCategory enums into one key which can be used | |||
41 | /// in a switch statement to classify how the interaction of two APFloat's | |||
42 | /// categories affects an operation. | |||
43 | /// | |||
44 | /// TODO: If clang source code is ever allowed to use constexpr in its own | |||
45 | /// codebase, change this into a static inline function. | |||
46 | #define PackCategoriesIntoKey(_lhs, _rhs)((_lhs) * 4 + (_rhs)) ((_lhs) * 4 + (_rhs)) | |||
47 | ||||
48 | /* Assumed in hexadecimal significand parsing, and conversion to | |||
49 | hexadecimal strings. */ | |||
50 | static_assert(APFloatBase::integerPartWidth % 4 == 0, "Part width must be divisible by 4!"); | |||
51 | ||||
52 | namespace llvm { | |||
53 | /* Represents floating point arithmetic semantics. */ | |||
54 | struct fltSemantics { | |||
55 | /* The largest E such that 2^E is representable; this matches the | |||
56 | definition of IEEE 754. */ | |||
57 | APFloatBase::ExponentType maxExponent; | |||
58 | ||||
59 | /* The smallest E such that 2^E is a normalized number; this | |||
60 | matches the definition of IEEE 754. */ | |||
61 | APFloatBase::ExponentType minExponent; | |||
62 | ||||
63 | /* Number of bits in the significand. This includes the integer | |||
64 | bit. */ | |||
65 | unsigned int precision; | |||
66 | ||||
67 | /* Number of bits actually used in the semantics. */ | |||
68 | unsigned int sizeInBits; | |||
69 | }; | |||
70 | ||||
71 | static const fltSemantics semIEEEhalf = {15, -14, 11, 16}; | |||
72 | static const fltSemantics semIEEEsingle = {127, -126, 24, 32}; | |||
73 | static const fltSemantics semIEEEdouble = {1023, -1022, 53, 64}; | |||
74 | static const fltSemantics semIEEEquad = {16383, -16382, 113, 128}; | |||
75 | static const fltSemantics semX87DoubleExtended = {16383, -16382, 64, 80}; | |||
76 | static const fltSemantics semBogus = {0, 0, 0, 0}; | |||
77 | ||||
78 | /* The IBM double-double semantics. Such a number consists of a pair of IEEE | |||
79 | 64-bit doubles (Hi, Lo), where |Hi| > |Lo|, and if normal, | |||
80 | (double)(Hi + Lo) == Hi. The numeric value it's modeling is Hi + Lo. | |||
81 | Therefore it has two 53-bit mantissa parts that aren't necessarily adjacent | |||
82 | to each other, and two 11-bit exponents. | |||
83 | ||||
84 | Note: we need to make the value different from semBogus as otherwise | |||
85 | an unsafe optimization may collapse both values to a single address, | |||
86 | and we heavily rely on them having distinct addresses. */ | |||
87 | static const fltSemantics semPPCDoubleDouble = {-1, 0, 0, 0}; | |||
88 | ||||
89 | /* These are legacy semantics for the fallback, inaccrurate implementation of | |||
90 | IBM double-double, if the accurate semPPCDoubleDouble doesn't handle the | |||
91 | operation. It's equivalent to having an IEEE number with consecutive 106 | |||
92 | bits of mantissa and 11 bits of exponent. | |||
93 | ||||
94 | It's not equivalent to IBM double-double. For example, a legit IBM | |||
95 | double-double, 1 + epsilon: | |||
96 | ||||
97 | 1 + epsilon = 1 + (1 >> 1076) | |||
98 | ||||
99 | is not representable by a consecutive 106 bits of mantissa. | |||
100 | ||||
101 | Currently, these semantics are used in the following way: | |||
102 | ||||
103 | semPPCDoubleDouble -> (IEEEdouble, IEEEdouble) -> | |||
104 | (64-bit APInt, 64-bit APInt) -> (128-bit APInt) -> | |||
105 | semPPCDoubleDoubleLegacy -> IEEE operations | |||
106 | ||||
107 | We use bitcastToAPInt() to get the bit representation (in APInt) of the | |||
108 | underlying IEEEdouble, then use the APInt constructor to construct the | |||
109 | legacy IEEE float. | |||
110 | ||||
111 | TODO: Implement all operations in semPPCDoubleDouble, and delete these | |||
112 | semantics. */ | |||
113 | static const fltSemantics semPPCDoubleDoubleLegacy = {1023, -1022 + 53, | |||
114 | 53 + 53, 128}; | |||
115 | ||||
116 | const llvm::fltSemantics &APFloatBase::EnumToSemantics(Semantics S) { | |||
117 | switch (S) { | |||
118 | case S_IEEEhalf: | |||
119 | return IEEEhalf(); | |||
120 | case S_IEEEsingle: | |||
121 | return IEEEsingle(); | |||
122 | case S_IEEEdouble: | |||
123 | return IEEEdouble(); | |||
124 | case S_x87DoubleExtended: | |||
125 | return x87DoubleExtended(); | |||
126 | case S_IEEEquad: | |||
127 | return IEEEquad(); | |||
128 | case S_PPCDoubleDouble: | |||
129 | return PPCDoubleDouble(); | |||
130 | } | |||
131 | llvm_unreachable("Unrecognised floating semantics")::llvm::llvm_unreachable_internal("Unrecognised floating semantics" , "/build/llvm-toolchain-snapshot-11~++20200309111110+2c36c23f347/llvm/lib/Support/APFloat.cpp" , 131); | |||
132 | } | |||
133 | ||||
134 | APFloatBase::Semantics | |||
135 | APFloatBase::SemanticsToEnum(const llvm::fltSemantics &Sem) { | |||
136 | if (&Sem == &llvm::APFloat::IEEEhalf()) | |||
137 | return S_IEEEhalf; | |||
138 | else if (&Sem == &llvm::APFloat::IEEEsingle()) | |||
139 | return S_IEEEsingle; | |||
140 | else if (&Sem == &llvm::APFloat::IEEEdouble()) | |||
141 | return S_IEEEdouble; | |||
142 | else if (&Sem == &llvm::APFloat::x87DoubleExtended()) | |||
143 | return S_x87DoubleExtended; | |||
144 | else if (&Sem == &llvm::APFloat::IEEEquad()) | |||
145 | return S_IEEEquad; | |||
146 | else if (&Sem == &llvm::APFloat::PPCDoubleDouble()) | |||
147 | return S_PPCDoubleDouble; | |||
148 | else | |||
149 | llvm_unreachable("Unknown floating semantics")::llvm::llvm_unreachable_internal("Unknown floating semantics" , "/build/llvm-toolchain-snapshot-11~++20200309111110+2c36c23f347/llvm/lib/Support/APFloat.cpp" , 149); | |||
150 | } | |||
151 | ||||
152 | const fltSemantics &APFloatBase::IEEEhalf() { | |||
153 | return semIEEEhalf; | |||
154 | } | |||
155 | const fltSemantics &APFloatBase::IEEEsingle() { | |||
156 | return semIEEEsingle; | |||
157 | } | |||
158 | const fltSemantics &APFloatBase::IEEEdouble() { | |||
159 | return semIEEEdouble; | |||
160 | } | |||
161 | const fltSemantics &APFloatBase::IEEEquad() { | |||
162 | return semIEEEquad; | |||
163 | } | |||
164 | const fltSemantics &APFloatBase::x87DoubleExtended() { | |||
165 | return semX87DoubleExtended; | |||
166 | } | |||
167 | const fltSemantics &APFloatBase::Bogus() { | |||
168 | return semBogus; | |||
169 | } | |||
170 | const fltSemantics &APFloatBase::PPCDoubleDouble() { | |||
171 | return semPPCDoubleDouble; | |||
172 | } | |||
173 | ||||
174 | /* A tight upper bound on number of parts required to hold the value | |||
175 | pow(5, power) is | |||
176 | ||||
177 | power * 815 / (351 * integerPartWidth) + 1 | |||
178 | ||||
179 | However, whilst the result may require only this many parts, | |||
180 | because we are multiplying two values to get it, the | |||
181 | multiplication may require an extra part with the excess part | |||
182 | being zero (consider the trivial case of 1 * 1, tcFullMultiply | |||
183 | requires two parts to hold the single-part result). So we add an | |||
184 | extra one to guarantee enough space whilst multiplying. */ | |||
185 | const unsigned int maxExponent = 16383; | |||
186 | const unsigned int maxPrecision = 113; | |||
187 | const unsigned int maxPowerOfFiveExponent = maxExponent + maxPrecision - 1; | |||
188 | const unsigned int maxPowerOfFiveParts = 2 + ((maxPowerOfFiveExponent * 815) / (351 * APFloatBase::integerPartWidth)); | |||
189 | ||||
190 | unsigned int APFloatBase::semanticsPrecision(const fltSemantics &semantics) { | |||
191 | return semantics.precision; | |||
192 | } | |||
193 | APFloatBase::ExponentType | |||
194 | APFloatBase::semanticsMaxExponent(const fltSemantics &semantics) { | |||
195 | return semantics.maxExponent; | |||
196 | } | |||
197 | APFloatBase::ExponentType | |||
198 | APFloatBase::semanticsMinExponent(const fltSemantics &semantics) { | |||
199 | return semantics.minExponent; | |||
200 | } | |||
201 | unsigned int APFloatBase::semanticsSizeInBits(const fltSemantics &semantics) { | |||
202 | return semantics.sizeInBits; | |||
203 | } | |||
204 | ||||
205 | unsigned APFloatBase::getSizeInBits(const fltSemantics &Sem) { | |||
206 | return Sem.sizeInBits; | |||
207 | } | |||
208 | ||||
209 | /* A bunch of private, handy routines. */ | |||
210 | ||||
211 | static inline Error createError(const Twine &Err) { | |||
212 | return make_error<StringError>(Err, inconvertibleErrorCode()); | |||
213 | } | |||
214 | ||||
215 | static inline unsigned int | |||
216 | partCountForBits(unsigned int bits) | |||
217 | { | |||
218 | return ((bits) + APFloatBase::integerPartWidth - 1) / APFloatBase::integerPartWidth; | |||
219 | } | |||
220 | ||||
221 | /* Returns 0U-9U. Return values >= 10U are not digits. */ | |||
222 | static inline unsigned int | |||
223 | decDigitValue(unsigned int c) | |||
224 | { | |||
225 | return c - '0'; | |||
226 | } | |||
227 | ||||
228 | /* Return the value of a decimal exponent of the form | |||
229 | [+-]ddddddd. | |||
230 | ||||
231 | If the exponent overflows, returns a large exponent with the | |||
232 | appropriate sign. */ | |||
233 | static Expected<int> readExponent(StringRef::iterator begin, | |||
234 | StringRef::iterator end) { | |||
235 | bool isNegative; | |||
236 | unsigned int absExponent; | |||
237 | const unsigned int overlargeExponent = 24000; /* FIXME. */ | |||
238 | StringRef::iterator p = begin; | |||
239 | ||||
240 | // Treat no exponent as 0 to match binutils | |||
241 | if (p == end || ((*p == '-' || *p == '+') && (p + 1) == end)) { | |||
242 | return 0; | |||
243 | } | |||
244 | ||||
245 | isNegative = (*p == '-'); | |||
246 | if (*p == '-' || *p == '+') { | |||
247 | p++; | |||
248 | if (p == end) | |||
249 | return createError("Exponent has no digits"); | |||
250 | } | |||
251 | ||||
252 | absExponent = decDigitValue(*p++); | |||
253 | if (absExponent >= 10U) | |||
254 | return createError("Invalid character in exponent"); | |||
255 | ||||
256 | for (; p != end; ++p) { | |||
257 | unsigned int value; | |||
258 | ||||
259 | value = decDigitValue(*p); | |||
260 | if (value >= 10U) | |||
261 | return createError("Invalid character in exponent"); | |||
262 | ||||
263 | absExponent = absExponent * 10U + value; | |||
264 | if (absExponent >= overlargeExponent) { | |||
265 | absExponent = overlargeExponent; | |||
266 | break; | |||
267 | } | |||
268 | } | |||
269 | ||||
270 | if (isNegative) | |||
271 | return -(int) absExponent; | |||
272 | else | |||
273 | return (int) absExponent; | |||
274 | } | |||
275 | ||||
276 | /* This is ugly and needs cleaning up, but I don't immediately see | |||
277 | how whilst remaining safe. */ | |||
278 | static Expected<int> totalExponent(StringRef::iterator p, | |||
279 | StringRef::iterator end, | |||
280 | int exponentAdjustment) { | |||
281 | int unsignedExponent; | |||
282 | bool negative, overflow; | |||
283 | int exponent = 0; | |||
284 | ||||
285 | if (p == end) | |||
286 | return createError("Exponent has no digits"); | |||
287 | ||||
288 | negative = *p == '-'; | |||
289 | if (*p == '-' || *p == '+') { | |||
290 | p++; | |||
291 | if (p == end) | |||
292 | return createError("Exponent has no digits"); | |||
293 | } | |||
294 | ||||
295 | unsignedExponent = 0; | |||
296 | overflow = false; | |||
297 | for (; p != end; ++p) { | |||
298 | unsigned int value; | |||
299 | ||||
300 | value = decDigitValue(*p); | |||
301 | if (value >= 10U) | |||
302 | return createError("Invalid character in exponent"); | |||
303 | ||||
304 | unsignedExponent = unsignedExponent * 10 + value; | |||
305 | if (unsignedExponent > 32767) { | |||
306 | overflow = true; | |||
307 | break; | |||
308 | } | |||
309 | } | |||
310 | ||||
311 | if (exponentAdjustment > 32767 || exponentAdjustment < -32768) | |||
312 | overflow = true; | |||
313 | ||||
314 | if (!overflow) { | |||
315 | exponent = unsignedExponent; | |||
316 | if (negative) | |||
317 | exponent = -exponent; | |||
318 | exponent += exponentAdjustment; | |||
319 | if (exponent > 32767 || exponent < -32768) | |||
320 | overflow = true; | |||
321 | } | |||
322 | ||||
323 | if (overflow) | |||
324 | exponent = negative ? -32768: 32767; | |||
325 | ||||
326 | return exponent; | |||
327 | } | |||
328 | ||||
329 | static Expected<StringRef::iterator> | |||
330 | skipLeadingZeroesAndAnyDot(StringRef::iterator begin, StringRef::iterator end, | |||
331 | StringRef::iterator *dot) { | |||
332 | StringRef::iterator p = begin; | |||
333 | *dot = end; | |||
334 | while (p != end && *p == '0') | |||
335 | p++; | |||
336 | ||||
337 | if (p != end && *p == '.') { | |||
338 | *dot = p++; | |||
339 | ||||
340 | if (end - begin == 1) | |||
341 | return createError("Significand has no digits"); | |||
342 | ||||
343 | while (p != end && *p == '0') | |||
344 | p++; | |||
345 | } | |||
346 | ||||
347 | return p; | |||
348 | } | |||
349 | ||||
350 | /* Given a normal decimal floating point number of the form | |||
351 | ||||
352 | dddd.dddd[eE][+-]ddd | |||
353 | ||||
354 | where the decimal point and exponent are optional, fill out the | |||
355 | structure D. Exponent is appropriate if the significand is | |||
356 | treated as an integer, and normalizedExponent if the significand | |||
357 | is taken to have the decimal point after a single leading | |||
358 | non-zero digit. | |||
359 | ||||
360 | If the value is zero, V->firstSigDigit points to a non-digit, and | |||
361 | the return exponent is zero. | |||
362 | */ | |||
363 | struct decimalInfo { | |||
364 | const char *firstSigDigit; | |||
365 | const char *lastSigDigit; | |||
366 | int exponent; | |||
367 | int normalizedExponent; | |||
368 | }; | |||
369 | ||||
370 | static Error interpretDecimal(StringRef::iterator begin, | |||
371 | StringRef::iterator end, decimalInfo *D) { | |||
372 | StringRef::iterator dot = end; | |||
373 | ||||
374 | auto PtrOrErr = skipLeadingZeroesAndAnyDot(begin, end, &dot); | |||
375 | if (!PtrOrErr) | |||
376 | return PtrOrErr.takeError(); | |||
377 | StringRef::iterator p = *PtrOrErr; | |||
378 | ||||
379 | D->firstSigDigit = p; | |||
380 | D->exponent = 0; | |||
381 | D->normalizedExponent = 0; | |||
382 | ||||
383 | for (; p != end; ++p) { | |||
384 | if (*p == '.') { | |||
385 | if (dot != end) | |||
386 | return createError("String contains multiple dots"); | |||
387 | dot = p++; | |||
388 | if (p == end) | |||
389 | break; | |||
390 | } | |||
391 | if (decDigitValue(*p) >= 10U) | |||
392 | break; | |||
393 | } | |||
394 | ||||
395 | if (p != end) { | |||
396 | if (*p != 'e' && *p != 'E') | |||
397 | return createError("Invalid character in significand"); | |||
398 | if (p == begin) | |||
399 | return createError("Significand has no digits"); | |||
400 | if (dot != end && p - begin == 1) | |||
401 | return createError("Significand has no digits"); | |||
402 | ||||
403 | /* p points to the first non-digit in the string */ | |||
404 | auto ExpOrErr = readExponent(p + 1, end); | |||
405 | if (!ExpOrErr) | |||
406 | return ExpOrErr.takeError(); | |||
407 | D->exponent = *ExpOrErr; | |||
408 | ||||
409 | /* Implied decimal point? */ | |||
410 | if (dot == end) | |||
411 | dot = p; | |||
412 | } | |||
413 | ||||
414 | /* If number is all zeroes accept any exponent. */ | |||
415 | if (p != D->firstSigDigit) { | |||
416 | /* Drop insignificant trailing zeroes. */ | |||
417 | if (p != begin) { | |||
418 | do | |||
419 | do | |||
420 | p--; | |||
421 | while (p != begin && *p == '0'); | |||
422 | while (p != begin && *p == '.'); | |||
423 | } | |||
424 | ||||
425 | /* Adjust the exponents for any decimal point. */ | |||
426 | D->exponent += static_cast<APFloat::ExponentType>((dot - p) - (dot > p)); | |||
427 | D->normalizedExponent = (D->exponent + | |||
428 | static_cast<APFloat::ExponentType>((p - D->firstSigDigit) | |||
429 | - (dot > D->firstSigDigit && dot < p))); | |||
430 | } | |||
431 | ||||
432 | D->lastSigDigit = p; | |||
433 | return Error::success(); | |||
434 | } | |||
435 | ||||
436 | /* Return the trailing fraction of a hexadecimal number. | |||
437 | DIGITVALUE is the first hex digit of the fraction, P points to | |||
438 | the next digit. */ | |||
439 | static Expected<lostFraction> | |||
440 | trailingHexadecimalFraction(StringRef::iterator p, StringRef::iterator end, | |||
441 | unsigned int digitValue) { | |||
442 | unsigned int hexDigit; | |||
443 | ||||
444 | /* If the first trailing digit isn't 0 or 8 we can work out the | |||
445 | fraction immediately. */ | |||
446 | if (digitValue > 8) | |||
447 | return lfMoreThanHalf; | |||
448 | else if (digitValue < 8 && digitValue > 0) | |||
449 | return lfLessThanHalf; | |||
450 | ||||
451 | // Otherwise we need to find the first non-zero digit. | |||
452 | while (p != end && (*p == '0' || *p == '.')) | |||
453 | p++; | |||
454 | ||||
455 | if (p == end) | |||
456 | return createError("Invalid trailing hexadecimal fraction!"); | |||
457 | ||||
458 | hexDigit = hexDigitValue(*p); | |||
459 | ||||
460 | /* If we ran off the end it is exactly zero or one-half, otherwise | |||
461 | a little more. */ | |||
462 | if (hexDigit == -1U) | |||
463 | return digitValue == 0 ? lfExactlyZero: lfExactlyHalf; | |||
464 | else | |||
465 | return digitValue == 0 ? lfLessThanHalf: lfMoreThanHalf; | |||
466 | } | |||
467 | ||||
468 | /* Return the fraction lost were a bignum truncated losing the least | |||
469 | significant BITS bits. */ | |||
470 | static lostFraction | |||
471 | lostFractionThroughTruncation(const APFloatBase::integerPart *parts, | |||
472 | unsigned int partCount, | |||
473 | unsigned int bits) | |||
474 | { | |||
475 | unsigned int lsb; | |||
476 | ||||
477 | lsb = APInt::tcLSB(parts, partCount); | |||
478 | ||||
479 | /* Note this is guaranteed true if bits == 0, or LSB == -1U. */ | |||
480 | if (bits <= lsb) | |||
481 | return lfExactlyZero; | |||
482 | if (bits == lsb + 1) | |||
483 | return lfExactlyHalf; | |||
484 | if (bits <= partCount * APFloatBase::integerPartWidth && | |||
485 | APInt::tcExtractBit(parts, bits - 1)) | |||
486 | return lfMoreThanHalf; | |||
487 | ||||
488 | return lfLessThanHalf; | |||
489 | } | |||
490 | ||||
491 | /* Shift DST right BITS bits noting lost fraction. */ | |||
492 | static lostFraction | |||
493 | shiftRight(APFloatBase::integerPart *dst, unsigned int parts, unsigned int bits) | |||
494 | { | |||
495 | lostFraction lost_fraction; | |||
496 | ||||
497 | lost_fraction = lostFractionThroughTruncation(dst, parts, bits); | |||
498 | ||||
499 | APInt::tcShiftRight(dst, parts, bits); | |||
500 | ||||
501 | return lost_fraction; | |||
502 | } | |||
503 | ||||
504 | /* Combine the effect of two lost fractions. */ | |||
505 | static lostFraction | |||
506 | combineLostFractions(lostFraction moreSignificant, | |||
507 | lostFraction lessSignificant) | |||
508 | { | |||
509 | if (lessSignificant != lfExactlyZero) { | |||
510 | if (moreSignificant == lfExactlyZero) | |||
511 | moreSignificant = lfLessThanHalf; | |||
512 | else if (moreSignificant == lfExactlyHalf) | |||
513 | moreSignificant = lfMoreThanHalf; | |||
514 | } | |||
515 | ||||
516 | return moreSignificant; | |||
517 | } | |||
518 | ||||
519 | /* The error from the true value, in half-ulps, on multiplying two | |||
520 | floating point numbers, which differ from the value they | |||
521 | approximate by at most HUE1 and HUE2 half-ulps, is strictly less | |||
522 | than the returned value. | |||
523 | ||||
524 | See "How to Read Floating Point Numbers Accurately" by William D | |||
525 | Clinger. */ | |||
526 | static unsigned int | |||
527 | HUerrBound(bool inexactMultiply, unsigned int HUerr1, unsigned int HUerr2) | |||
528 | { | |||
529 | assert(HUerr1 < 2 || HUerr2 < 2 || (HUerr1 + HUerr2 < 8))((HUerr1 < 2 || HUerr2 < 2 || (HUerr1 + HUerr2 < 8)) ? static_cast<void> (0) : __assert_fail ("HUerr1 < 2 || HUerr2 < 2 || (HUerr1 + HUerr2 < 8)" , "/build/llvm-toolchain-snapshot-11~++20200309111110+2c36c23f347/llvm/lib/Support/APFloat.cpp" , 529, __PRETTY_FUNCTION__)); | |||
530 | ||||
531 | if (HUerr1 + HUerr2 == 0) | |||
532 | return inexactMultiply * 2; /* <= inexactMultiply half-ulps. */ | |||
533 | else | |||
534 | return inexactMultiply + 2 * (HUerr1 + HUerr2); | |||
535 | } | |||
536 | ||||
537 | /* The number of ulps from the boundary (zero, or half if ISNEAREST) | |||
538 | when the least significant BITS are truncated. BITS cannot be | |||
539 | zero. */ | |||
540 | static APFloatBase::integerPart | |||
541 | ulpsFromBoundary(const APFloatBase::integerPart *parts, unsigned int bits, | |||
542 | bool isNearest) { | |||
543 | unsigned int count, partBits; | |||
544 | APFloatBase::integerPart part, boundary; | |||
545 | ||||
546 | assert(bits != 0)((bits != 0) ? static_cast<void> (0) : __assert_fail ("bits != 0" , "/build/llvm-toolchain-snapshot-11~++20200309111110+2c36c23f347/llvm/lib/Support/APFloat.cpp" , 546, __PRETTY_FUNCTION__)); | |||
547 | ||||
548 | bits--; | |||
549 | count = bits / APFloatBase::integerPartWidth; | |||
550 | partBits = bits % APFloatBase::integerPartWidth + 1; | |||
551 | ||||
552 | part = parts[count] & (~(APFloatBase::integerPart) 0 >> (APFloatBase::integerPartWidth - partBits)); | |||
553 | ||||
554 | if (isNearest) | |||
555 | boundary = (APFloatBase::integerPart) 1 << (partBits - 1); | |||
556 | else | |||
557 | boundary = 0; | |||
558 | ||||
559 | if (count == 0) { | |||
560 | if (part - boundary <= boundary - part) | |||
561 | return part - boundary; | |||
562 | else | |||
563 | return boundary - part; | |||
564 | } | |||
565 | ||||
566 | if (part == boundary) { | |||
567 | while (--count) | |||
568 | if (parts[count]) | |||
569 | return ~(APFloatBase::integerPart) 0; /* A lot. */ | |||
570 | ||||
571 | return parts[0]; | |||
572 | } else if (part == boundary - 1) { | |||
573 | while (--count) | |||
574 | if (~parts[count]) | |||
575 | return ~(APFloatBase::integerPart) 0; /* A lot. */ | |||
576 | ||||
577 | return -parts[0]; | |||
578 | } | |||
579 | ||||
580 | return ~(APFloatBase::integerPart) 0; /* A lot. */ | |||
581 | } | |||
582 | ||||
583 | /* Place pow(5, power) in DST, and return the number of parts used. | |||
584 | DST must be at least one part larger than size of the answer. */ | |||
585 | static unsigned int | |||
586 | powerOf5(APFloatBase::integerPart *dst, unsigned int power) { | |||
587 | static const APFloatBase::integerPart firstEightPowers[] = { 1, 5, 25, 125, 625, 3125, 15625, 78125 }; | |||
588 | APFloatBase::integerPart pow5s[maxPowerOfFiveParts * 2 + 5]; | |||
589 | pow5s[0] = 78125 * 5; | |||
590 | ||||
591 | unsigned int partsCount[16] = { 1 }; | |||
592 | APFloatBase::integerPart scratch[maxPowerOfFiveParts], *p1, *p2, *pow5; | |||
593 | unsigned int result; | |||
594 | assert(power <= maxExponent)((power <= maxExponent) ? static_cast<void> (0) : __assert_fail ("power <= maxExponent", "/build/llvm-toolchain-snapshot-11~++20200309111110+2c36c23f347/llvm/lib/Support/APFloat.cpp" , 594, __PRETTY_FUNCTION__)); | |||
595 | ||||
596 | p1 = dst; | |||
597 | p2 = scratch; | |||
598 | ||||
599 | *p1 = firstEightPowers[power & 7]; | |||
600 | power >>= 3; | |||
601 | ||||
602 | result = 1; | |||
603 | pow5 = pow5s; | |||
604 | ||||
605 | for (unsigned int n = 0; power; power >>= 1, n++) { | |||
606 | unsigned int pc; | |||
607 | ||||
608 | pc = partsCount[n]; | |||
609 | ||||
610 | /* Calculate pow(5,pow(2,n+3)) if we haven't yet. */ | |||
611 | if (pc == 0) { | |||
612 | pc = partsCount[n - 1]; | |||
613 | APInt::tcFullMultiply(pow5, pow5 - pc, pow5 - pc, pc, pc); | |||
614 | pc *= 2; | |||
615 | if (pow5[pc - 1] == 0) | |||
616 | pc--; | |||
617 | partsCount[n] = pc; | |||
618 | } | |||
619 | ||||
620 | if (power & 1) { | |||
621 | APFloatBase::integerPart *tmp; | |||
622 | ||||
623 | APInt::tcFullMultiply(p2, p1, pow5, result, pc); | |||
624 | result += pc; | |||
625 | if (p2[result - 1] == 0) | |||
626 | result--; | |||
627 | ||||
628 | /* Now result is in p1 with partsCount parts and p2 is scratch | |||
629 | space. */ | |||
630 | tmp = p1; | |||
631 | p1 = p2; | |||
632 | p2 = tmp; | |||
633 | } | |||
634 | ||||
635 | pow5 += pc; | |||
636 | } | |||
637 | ||||
638 | if (p1 != dst) | |||
639 | APInt::tcAssign(dst, p1, result); | |||
640 | ||||
641 | return result; | |||
642 | } | |||
643 | ||||
644 | /* Zero at the end to avoid modular arithmetic when adding one; used | |||
645 | when rounding up during hexadecimal output. */ | |||
646 | static const char hexDigitsLower[] = "0123456789abcdef0"; | |||
647 | static const char hexDigitsUpper[] = "0123456789ABCDEF0"; | |||
648 | static const char infinityL[] = "infinity"; | |||
649 | static const char infinityU[] = "INFINITY"; | |||
650 | static const char NaNL[] = "nan"; | |||
651 | static const char NaNU[] = "NAN"; | |||
652 | ||||
653 | /* Write out an integerPart in hexadecimal, starting with the most | |||
654 | significant nibble. Write out exactly COUNT hexdigits, return | |||
655 | COUNT. */ | |||
656 | static unsigned int | |||
657 | partAsHex (char *dst, APFloatBase::integerPart part, unsigned int count, | |||
658 | const char *hexDigitChars) | |||
659 | { | |||
660 | unsigned int result = count; | |||
661 | ||||
662 | assert(count != 0 && count <= APFloatBase::integerPartWidth / 4)((count != 0 && count <= APFloatBase::integerPartWidth / 4) ? static_cast<void> (0) : __assert_fail ("count != 0 && count <= APFloatBase::integerPartWidth / 4" , "/build/llvm-toolchain-snapshot-11~++20200309111110+2c36c23f347/llvm/lib/Support/APFloat.cpp" , 662, __PRETTY_FUNCTION__)); | |||
663 | ||||
664 | part >>= (APFloatBase::integerPartWidth - 4 * count); | |||
665 | while (count--) { | |||
666 | dst[count] = hexDigitChars[part & 0xf]; | |||
667 | part >>= 4; | |||
668 | } | |||
669 | ||||
670 | return result; | |||
671 | } | |||
672 | ||||
673 | /* Write out an unsigned decimal integer. */ | |||
674 | static char * | |||
675 | writeUnsignedDecimal (char *dst, unsigned int n) | |||
676 | { | |||
677 | char buff[40], *p; | |||
678 | ||||
679 | p = buff; | |||
680 | do | |||
681 | *p++ = '0' + n % 10; | |||
682 | while (n /= 10); | |||
683 | ||||
684 | do | |||
685 | *dst++ = *--p; | |||
686 | while (p != buff); | |||
687 | ||||
688 | return dst; | |||
689 | } | |||
690 | ||||
691 | /* Write out a signed decimal integer. */ | |||
692 | static char * | |||
693 | writeSignedDecimal (char *dst, int value) | |||
694 | { | |||
695 | if (value < 0) { | |||
696 | *dst++ = '-'; | |||
697 | dst = writeUnsignedDecimal(dst, -(unsigned) value); | |||
698 | } else | |||
699 | dst = writeUnsignedDecimal(dst, value); | |||
700 | ||||
701 | return dst; | |||
702 | } | |||
703 | ||||
704 | namespace detail { | |||
705 | /* Constructors. */ | |||
706 | void IEEEFloat::initialize(const fltSemantics *ourSemantics) { | |||
707 | unsigned int count; | |||
708 | ||||
709 | semantics = ourSemantics; | |||
710 | count = partCount(); | |||
711 | if (count > 1) | |||
712 | significand.parts = new integerPart[count]; | |||
713 | } | |||
714 | ||||
715 | void IEEEFloat::freeSignificand() { | |||
716 | if (needsCleanup()) | |||
717 | delete [] significand.parts; | |||
718 | } | |||
719 | ||||
720 | void IEEEFloat::assign(const IEEEFloat &rhs) { | |||
721 | assert(semantics == rhs.semantics)((semantics == rhs.semantics) ? static_cast<void> (0) : __assert_fail ("semantics == rhs.semantics", "/build/llvm-toolchain-snapshot-11~++20200309111110+2c36c23f347/llvm/lib/Support/APFloat.cpp" , 721, __PRETTY_FUNCTION__)); | |||
722 | ||||
723 | sign = rhs.sign; | |||
724 | category = rhs.category; | |||
725 | exponent = rhs.exponent; | |||
726 | if (isFiniteNonZero() || category == fcNaN) | |||
727 | copySignificand(rhs); | |||
728 | } | |||
729 | ||||
730 | void IEEEFloat::copySignificand(const IEEEFloat &rhs) { | |||
731 | assert(isFiniteNonZero() || category == fcNaN)((isFiniteNonZero() || category == fcNaN) ? static_cast<void > (0) : __assert_fail ("isFiniteNonZero() || category == fcNaN" , "/build/llvm-toolchain-snapshot-11~++20200309111110+2c36c23f347/llvm/lib/Support/APFloat.cpp" , 731, __PRETTY_FUNCTION__)); | |||
732 | assert(rhs.partCount() >= partCount())((rhs.partCount() >= partCount()) ? static_cast<void> (0) : __assert_fail ("rhs.partCount() >= partCount()", "/build/llvm-toolchain-snapshot-11~++20200309111110+2c36c23f347/llvm/lib/Support/APFloat.cpp" , 732, __PRETTY_FUNCTION__)); | |||
733 | ||||
734 | APInt::tcAssign(significandParts(), rhs.significandParts(), | |||
735 | partCount()); | |||
736 | } | |||
737 | ||||
738 | /* Make this number a NaN, with an arbitrary but deterministic value | |||
739 | for the significand. If double or longer, this is a signalling NaN, | |||
740 | which may not be ideal. If float, this is QNaN(0). */ | |||
741 | void IEEEFloat::makeNaN(bool SNaN, bool Negative, const APInt *fill) { | |||
742 | category = fcNaN; | |||
743 | sign = Negative; | |||
744 | ||||
745 | integerPart *significand = significandParts(); | |||
746 | unsigned numParts = partCount(); | |||
747 | ||||
748 | // Set the significand bits to the fill. | |||
749 | if (!fill || fill->getNumWords() < numParts) | |||
750 | APInt::tcSet(significand, 0, numParts); | |||
751 | if (fill) { | |||
752 | APInt::tcAssign(significand, fill->getRawData(), | |||
753 | std::min(fill->getNumWords(), numParts)); | |||
754 | ||||
755 | // Zero out the excess bits of the significand. | |||
756 | unsigned bitsToPreserve = semantics->precision - 1; | |||
757 | unsigned part = bitsToPreserve / 64; | |||
758 | bitsToPreserve %= 64; | |||
759 | significand[part] &= ((1ULL << bitsToPreserve) - 1); | |||
760 | for (part++; part != numParts; ++part) | |||
761 | significand[part] = 0; | |||
762 | } | |||
763 | ||||
764 | unsigned QNaNBit = semantics->precision - 2; | |||
765 | ||||
766 | if (SNaN) { | |||
767 | // We always have to clear the QNaN bit to make it an SNaN. | |||
768 | APInt::tcClearBit(significand, QNaNBit); | |||
769 | ||||
770 | // If there are no bits set in the payload, we have to set | |||
771 | // *something* to make it a NaN instead of an infinity; | |||
772 | // conventionally, this is the next bit down from the QNaN bit. | |||
773 | if (APInt::tcIsZero(significand, numParts)) | |||
774 | APInt::tcSetBit(significand, QNaNBit - 1); | |||
775 | } else { | |||
776 | // We always have to set the QNaN bit to make it a QNaN. | |||
777 | APInt::tcSetBit(significand, QNaNBit); | |||
778 | } | |||
779 | ||||
780 | // For x87 extended precision, we want to make a NaN, not a | |||
781 | // pseudo-NaN. Maybe we should expose the ability to make | |||
782 | // pseudo-NaNs? | |||
783 | if (semantics == &semX87DoubleExtended) | |||
784 | APInt::tcSetBit(significand, QNaNBit + 1); | |||
785 | } | |||
786 | ||||
787 | IEEEFloat &IEEEFloat::operator=(const IEEEFloat &rhs) { | |||
788 | if (this != &rhs) { | |||
789 | if (semantics != rhs.semantics) { | |||
790 | freeSignificand(); | |||
791 | initialize(rhs.semantics); | |||
792 | } | |||
793 | assign(rhs); | |||
794 | } | |||
795 | ||||
796 | return *this; | |||
797 | } | |||
798 | ||||
799 | IEEEFloat &IEEEFloat::operator=(IEEEFloat &&rhs) { | |||
800 | freeSignificand(); | |||
801 | ||||
802 | semantics = rhs.semantics; | |||
803 | significand = rhs.significand; | |||
804 | exponent = rhs.exponent; | |||
805 | category = rhs.category; | |||
806 | sign = rhs.sign; | |||
807 | ||||
808 | rhs.semantics = &semBogus; | |||
809 | return *this; | |||
810 | } | |||
811 | ||||
812 | bool IEEEFloat::isDenormal() const { | |||
813 | return isFiniteNonZero() && (exponent == semantics->minExponent) && | |||
814 | (APInt::tcExtractBit(significandParts(), | |||
815 | semantics->precision - 1) == 0); | |||
816 | } | |||
817 | ||||
818 | bool IEEEFloat::isSmallest() const { | |||
819 | // The smallest number by magnitude in our format will be the smallest | |||
820 | // denormal, i.e. the floating point number with exponent being minimum | |||
821 | // exponent and significand bitwise equal to 1 (i.e. with MSB equal to 0). | |||
822 | return isFiniteNonZero() && exponent == semantics->minExponent && | |||
823 | significandMSB() == 0; | |||
824 | } | |||
825 | ||||
826 | bool IEEEFloat::isSignificandAllOnes() const { | |||
827 | // Test if the significand excluding the integral bit is all ones. This allows | |||
828 | // us to test for binade boundaries. | |||
829 | const integerPart *Parts = significandParts(); | |||
830 | const unsigned PartCount = partCount(); | |||
831 | for (unsigned i = 0; i < PartCount - 1; i++) | |||
832 | if (~Parts[i]) | |||
833 | return false; | |||
834 | ||||
835 | // Set the unused high bits to all ones when we compare. | |||
836 | const unsigned NumHighBits = | |||
837 | PartCount*integerPartWidth - semantics->precision + 1; | |||
838 | assert(NumHighBits <= integerPartWidth && "Can not have more high bits to "((NumHighBits <= integerPartWidth && "Can not have more high bits to " "fill than integerPartWidth") ? static_cast<void> (0) : __assert_fail ("NumHighBits <= integerPartWidth && \"Can not have more high bits to \" \"fill than integerPartWidth\"" , "/build/llvm-toolchain-snapshot-11~++20200309111110+2c36c23f347/llvm/lib/Support/APFloat.cpp" , 839, __PRETTY_FUNCTION__)) | |||
839 | "fill than integerPartWidth")((NumHighBits <= integerPartWidth && "Can not have more high bits to " "fill than integerPartWidth") ? static_cast<void> (0) : __assert_fail ("NumHighBits <= integerPartWidth && \"Can not have more high bits to \" \"fill than integerPartWidth\"" , "/build/llvm-toolchain-snapshot-11~++20200309111110+2c36c23f347/llvm/lib/Support/APFloat.cpp" , 839, __PRETTY_FUNCTION__)); | |||
840 | const integerPart HighBitFill = | |||
841 | ~integerPart(0) << (integerPartWidth - NumHighBits); | |||
842 | if (~(Parts[PartCount - 1] | HighBitFill)) | |||
843 | return false; | |||
844 | ||||
845 | return true; | |||
846 | } | |||
847 | ||||
848 | bool IEEEFloat::isSignificandAllZeros() const { | |||
849 | // Test if the significand excluding the integral bit is all zeros. This | |||
850 | // allows us to test for binade boundaries. | |||
851 | const integerPart *Parts = significandParts(); | |||
852 | const unsigned PartCount = partCount(); | |||
853 | ||||
854 | for (unsigned i = 0; i < PartCount - 1; i++) | |||
855 | if (Parts[i]) | |||
856 | return false; | |||
857 | ||||
858 | const unsigned NumHighBits = | |||
859 | PartCount*integerPartWidth - semantics->precision + 1; | |||
860 | assert(NumHighBits <= integerPartWidth && "Can not have more high bits to "((NumHighBits <= integerPartWidth && "Can not have more high bits to " "clear than integerPartWidth") ? static_cast<void> (0) : __assert_fail ("NumHighBits <= integerPartWidth && \"Can not have more high bits to \" \"clear than integerPartWidth\"" , "/build/llvm-toolchain-snapshot-11~++20200309111110+2c36c23f347/llvm/lib/Support/APFloat.cpp" , 861, __PRETTY_FUNCTION__)) | |||
861 | "clear than integerPartWidth")((NumHighBits <= integerPartWidth && "Can not have more high bits to " "clear than integerPartWidth") ? static_cast<void> (0) : __assert_fail ("NumHighBits <= integerPartWidth && \"Can not have more high bits to \" \"clear than integerPartWidth\"" , "/build/llvm-toolchain-snapshot-11~++20200309111110+2c36c23f347/llvm/lib/Support/APFloat.cpp" , 861, __PRETTY_FUNCTION__)); | |||
862 | const integerPart HighBitMask = ~integerPart(0) >> NumHighBits; | |||
863 | ||||
864 | if (Parts[PartCount - 1] & HighBitMask) | |||
865 | return false; | |||
866 | ||||
867 | return true; | |||
868 | } | |||
869 | ||||
870 | bool IEEEFloat::isLargest() const { | |||
871 | // The largest number by magnitude in our format will be the floating point | |||
872 | // number with maximum exponent and with significand that is all ones. | |||
873 | return isFiniteNonZero() && exponent == semantics->maxExponent | |||
874 | && isSignificandAllOnes(); | |||
875 | } | |||
876 | ||||
877 | bool IEEEFloat::isInteger() const { | |||
878 | // This could be made more efficient; I'm going for obviously correct. | |||
879 | if (!isFinite()) return false; | |||
880 | IEEEFloat truncated = *this; | |||
881 | truncated.roundToIntegral(rmTowardZero); | |||
882 | return compare(truncated) == cmpEqual; | |||
883 | } | |||
884 | ||||
885 | bool IEEEFloat::bitwiseIsEqual(const IEEEFloat &rhs) const { | |||
886 | if (this == &rhs) | |||
887 | return true; | |||
888 | if (semantics != rhs.semantics || | |||
889 | category != rhs.category || | |||
890 | sign != rhs.sign) | |||
891 | return false; | |||
892 | if (category==fcZero || category==fcInfinity) | |||
893 | return true; | |||
894 | ||||
895 | if (isFiniteNonZero() && exponent != rhs.exponent) | |||
896 | return false; | |||
897 | ||||
898 | return std::equal(significandParts(), significandParts() + partCount(), | |||
899 | rhs.significandParts()); | |||
900 | } | |||
901 | ||||
902 | IEEEFloat::IEEEFloat(const fltSemantics &ourSemantics, integerPart value) { | |||
903 | initialize(&ourSemantics); | |||
904 | sign = 0; | |||
905 | category = fcNormal; | |||
906 | zeroSignificand(); | |||
907 | exponent = ourSemantics.precision - 1; | |||
908 | significandParts()[0] = value; | |||
909 | normalize(rmNearestTiesToEven, lfExactlyZero); | |||
910 | } | |||
911 | ||||
912 | IEEEFloat::IEEEFloat(const fltSemantics &ourSemantics) { | |||
913 | initialize(&ourSemantics); | |||
914 | category = fcZero; | |||
915 | sign = false; | |||
916 | } | |||
917 | ||||
918 | // Delegate to the previous constructor, because later copy constructor may | |||
919 | // actually inspects category, which can't be garbage. | |||
920 | IEEEFloat::IEEEFloat(const fltSemantics &ourSemantics, uninitializedTag tag) | |||
921 | : IEEEFloat(ourSemantics) {} | |||
922 | ||||
923 | IEEEFloat::IEEEFloat(const IEEEFloat &rhs) { | |||
924 | initialize(rhs.semantics); | |||
925 | assign(rhs); | |||
926 | } | |||
927 | ||||
928 | IEEEFloat::IEEEFloat(IEEEFloat &&rhs) : semantics(&semBogus) { | |||
929 | *this = std::move(rhs); | |||
930 | } | |||
931 | ||||
932 | IEEEFloat::~IEEEFloat() { freeSignificand(); } | |||
933 | ||||
934 | unsigned int IEEEFloat::partCount() const { | |||
935 | return partCountForBits(semantics->precision + 1); | |||
936 | } | |||
937 | ||||
938 | const IEEEFloat::integerPart *IEEEFloat::significandParts() const { | |||
939 | return const_cast<IEEEFloat *>(this)->significandParts(); | |||
940 | } | |||
941 | ||||
942 | IEEEFloat::integerPart *IEEEFloat::significandParts() { | |||
943 | if (partCount() > 1) | |||
944 | return significand.parts; | |||
945 | else | |||
946 | return &significand.part; | |||
947 | } | |||
948 | ||||
949 | void IEEEFloat::zeroSignificand() { | |||
950 | APInt::tcSet(significandParts(), 0, partCount()); | |||
951 | } | |||
952 | ||||
953 | /* Increment an fcNormal floating point number's significand. */ | |||
954 | void IEEEFloat::incrementSignificand() { | |||
955 | integerPart carry; | |||
956 | ||||
957 | carry = APInt::tcIncrement(significandParts(), partCount()); | |||
958 | ||||
959 | /* Our callers should never cause us to overflow. */ | |||
960 | assert(carry == 0)((carry == 0) ? static_cast<void> (0) : __assert_fail ( "carry == 0", "/build/llvm-toolchain-snapshot-11~++20200309111110+2c36c23f347/llvm/lib/Support/APFloat.cpp" , 960, __PRETTY_FUNCTION__)); | |||
961 | (void)carry; | |||
962 | } | |||
963 | ||||
964 | /* Add the significand of the RHS. Returns the carry flag. */ | |||
965 | IEEEFloat::integerPart IEEEFloat::addSignificand(const IEEEFloat &rhs) { | |||
966 | integerPart *parts; | |||
967 | ||||
968 | parts = significandParts(); | |||
969 | ||||
970 | assert(semantics == rhs.semantics)((semantics == rhs.semantics) ? static_cast<void> (0) : __assert_fail ("semantics == rhs.semantics", "/build/llvm-toolchain-snapshot-11~++20200309111110+2c36c23f347/llvm/lib/Support/APFloat.cpp" , 970, __PRETTY_FUNCTION__)); | |||
971 | assert(exponent == rhs.exponent)((exponent == rhs.exponent) ? static_cast<void> (0) : __assert_fail ("exponent == rhs.exponent", "/build/llvm-toolchain-snapshot-11~++20200309111110+2c36c23f347/llvm/lib/Support/APFloat.cpp" , 971, __PRETTY_FUNCTION__)); | |||
972 | ||||
973 | return APInt::tcAdd(parts, rhs.significandParts(), 0, partCount()); | |||
974 | } | |||
975 | ||||
976 | /* Subtract the significand of the RHS with a borrow flag. Returns | |||
977 | the borrow flag. */ | |||
978 | IEEEFloat::integerPart IEEEFloat::subtractSignificand(const IEEEFloat &rhs, | |||
979 | integerPart borrow) { | |||
980 | integerPart *parts; | |||
981 | ||||
982 | parts = significandParts(); | |||
983 | ||||
984 | assert(semantics == rhs.semantics)((semantics == rhs.semantics) ? static_cast<void> (0) : __assert_fail ("semantics == rhs.semantics", "/build/llvm-toolchain-snapshot-11~++20200309111110+2c36c23f347/llvm/lib/Support/APFloat.cpp" , 984, __PRETTY_FUNCTION__)); | |||
985 | assert(exponent == rhs.exponent)((exponent == rhs.exponent) ? static_cast<void> (0) : __assert_fail ("exponent == rhs.exponent", "/build/llvm-toolchain-snapshot-11~++20200309111110+2c36c23f347/llvm/lib/Support/APFloat.cpp" , 985, __PRETTY_FUNCTION__)); | |||
986 | ||||
987 | return APInt::tcSubtract(parts, rhs.significandParts(), borrow, | |||
988 | partCount()); | |||
989 | } | |||
990 | ||||
991 | /* Multiply the significand of the RHS. If ADDEND is non-NULL, add it | |||
992 | on to the full-precision result of the multiplication. Returns the | |||
993 | lost fraction. */ | |||
994 | lostFraction IEEEFloat::multiplySignificand(const IEEEFloat &rhs, | |||
995 | IEEEFloat addend) { | |||
996 | unsigned int omsb; // One, not zero, based MSB. | |||
997 | unsigned int partsCount, newPartsCount, precision; | |||
998 | integerPart *lhsSignificand; | |||
999 | integerPart scratch[4]; | |||
1000 | integerPart *fullSignificand; | |||
1001 | lostFraction lost_fraction; | |||
1002 | bool ignored; | |||
1003 | ||||
1004 | assert(semantics == rhs.semantics)((semantics == rhs.semantics) ? static_cast<void> (0) : __assert_fail ("semantics == rhs.semantics", "/build/llvm-toolchain-snapshot-11~++20200309111110+2c36c23f347/llvm/lib/Support/APFloat.cpp" , 1004, __PRETTY_FUNCTION__)); | |||
1005 | ||||
1006 | precision = semantics->precision; | |||
1007 | ||||
1008 | // Allocate space for twice as many bits as the original significand, plus one | |||
1009 | // extra bit for the addition to overflow into. | |||
1010 | newPartsCount = partCountForBits(precision * 2 + 1); | |||
1011 | ||||
1012 | if (newPartsCount > 4) | |||
1013 | fullSignificand = new integerPart[newPartsCount]; | |||
1014 | else | |||
1015 | fullSignificand = scratch; | |||
1016 | ||||
1017 | lhsSignificand = significandParts(); | |||
1018 | partsCount = partCount(); | |||
1019 | ||||
1020 | APInt::tcFullMultiply(fullSignificand, lhsSignificand, | |||
1021 | rhs.significandParts(), partsCount, partsCount); | |||
1022 | ||||
1023 | lost_fraction = lfExactlyZero; | |||
1024 | omsb = APInt::tcMSB(fullSignificand, newPartsCount) + 1; | |||
1025 | exponent += rhs.exponent; | |||
1026 | ||||
1027 | // Assume the operands involved in the multiplication are single-precision | |||
1028 | // FP, and the two multiplicants are: | |||
1029 | // *this = a23 . a22 ... a0 * 2^e1 | |||
1030 | // rhs = b23 . b22 ... b0 * 2^e2 | |||
1031 | // the result of multiplication is: | |||
1032 | // *this = c48 c47 c46 . c45 ... c0 * 2^(e1+e2) | |||
1033 | // Note that there are three significant bits at the left-hand side of the | |||
1034 | // radix point: two for the multiplication, and an overflow bit for the | |||
1035 | // addition (that will always be zero at this point). Move the radix point | |||
1036 | // toward left by two bits, and adjust exponent accordingly. | |||
1037 | exponent += 2; | |||
1038 | ||||
1039 | if (addend.isNonZero()) { | |||
1040 | // The intermediate result of the multiplication has "2 * precision" | |||
1041 | // signicant bit; adjust the addend to be consistent with mul result. | |||
1042 | // | |||
1043 | Significand savedSignificand = significand; | |||
1044 | const fltSemantics *savedSemantics = semantics; | |||
1045 | fltSemantics extendedSemantics; | |||
1046 | opStatus status; | |||
1047 | unsigned int extendedPrecision; | |||
1048 | ||||
1049 | // Normalize our MSB to one below the top bit to allow for overflow. | |||
1050 | extendedPrecision = 2 * precision + 1; | |||
1051 | if (omsb != extendedPrecision - 1) { | |||
1052 | assert(extendedPrecision > omsb)((extendedPrecision > omsb) ? static_cast<void> (0) : __assert_fail ("extendedPrecision > omsb", "/build/llvm-toolchain-snapshot-11~++20200309111110+2c36c23f347/llvm/lib/Support/APFloat.cpp" , 1052, __PRETTY_FUNCTION__)); | |||
1053 | APInt::tcShiftLeft(fullSignificand, newPartsCount, | |||
1054 | (extendedPrecision - 1) - omsb); | |||
1055 | exponent -= (extendedPrecision - 1) - omsb; | |||
1056 | } | |||
1057 | ||||
1058 | /* Create new semantics. */ | |||
1059 | extendedSemantics = *semantics; | |||
1060 | extendedSemantics.precision = extendedPrecision; | |||
1061 | ||||
1062 | if (newPartsCount == 1) | |||
1063 | significand.part = fullSignificand[0]; | |||
1064 | else | |||
1065 | significand.parts = fullSignificand; | |||
1066 | semantics = &extendedSemantics; | |||
1067 | ||||
1068 | // Make a copy so we can convert it to the extended semantics. | |||
1069 | // Note that we cannot convert the addend directly, as the extendedSemantics | |||
1070 | // is a local variable (which we take a reference to). | |||
1071 | IEEEFloat extendedAddend(addend); | |||
1072 | status = extendedAddend.convert(extendedSemantics, rmTowardZero, &ignored); | |||
1073 | assert(status == opOK)((status == opOK) ? static_cast<void> (0) : __assert_fail ("status == opOK", "/build/llvm-toolchain-snapshot-11~++20200309111110+2c36c23f347/llvm/lib/Support/APFloat.cpp" , 1073, __PRETTY_FUNCTION__)); | |||
1074 | (void)status; | |||
1075 | ||||
1076 | // Shift the significand of the addend right by one bit. This guarantees | |||
1077 | // that the high bit of the significand is zero (same as fullSignificand), | |||
1078 | // so the addition will overflow (if it does overflow at all) into the top bit. | |||
1079 | lost_fraction = extendedAddend.shiftSignificandRight(1); | |||
1080 | assert(lost_fraction == lfExactlyZero &&((lost_fraction == lfExactlyZero && "Lost precision while shifting addend for fused-multiply-add." ) ? static_cast<void> (0) : __assert_fail ("lost_fraction == lfExactlyZero && \"Lost precision while shifting addend for fused-multiply-add.\"" , "/build/llvm-toolchain-snapshot-11~++20200309111110+2c36c23f347/llvm/lib/Support/APFloat.cpp" , 1081, __PRETTY_FUNCTION__)) | |||
1081 | "Lost precision while shifting addend for fused-multiply-add.")((lost_fraction == lfExactlyZero && "Lost precision while shifting addend for fused-multiply-add." ) ? static_cast<void> (0) : __assert_fail ("lost_fraction == lfExactlyZero && \"Lost precision while shifting addend for fused-multiply-add.\"" , "/build/llvm-toolchain-snapshot-11~++20200309111110+2c36c23f347/llvm/lib/Support/APFloat.cpp" , 1081, __PRETTY_FUNCTION__)); | |||
1082 | ||||
1083 | lost_fraction = addOrSubtractSignificand(extendedAddend, false); | |||
1084 | ||||
1085 | /* Restore our state. */ | |||
1086 | if (newPartsCount == 1) | |||
1087 | fullSignificand[0] = significand.part; | |||
1088 | significand = savedSignificand; | |||
1089 | semantics = savedSemantics; | |||
1090 | ||||
1091 | omsb = APInt::tcMSB(fullSignificand, newPartsCount) + 1; | |||
1092 | } | |||
1093 | ||||
1094 | // Convert the result having "2 * precision" significant-bits back to the one | |||
1095 | // having "precision" significant-bits. First, move the radix point from | |||
1096 | // poision "2*precision - 1" to "precision - 1". The exponent need to be | |||
1097 | // adjusted by "2*precision - 1" - "precision - 1" = "precision". | |||
1098 | exponent -= precision + 1; | |||
1099 | ||||
1100 | // In case MSB resides at the left-hand side of radix point, shift the | |||
1101 | // mantissa right by some amount to make sure the MSB reside right before | |||
1102 | // the radix point (i.e. "MSB . rest-significant-bits"). | |||
1103 | // | |||
1104 | // Note that the result is not normalized when "omsb < precision". So, the | |||
1105 | // caller needs to call IEEEFloat::normalize() if normalized value is | |||
1106 | // expected. | |||
1107 | if (omsb > precision) { | |||
1108 | unsigned int bits, significantParts; | |||
1109 | lostFraction lf; | |||
1110 | ||||
1111 | bits = omsb - precision; | |||
1112 | significantParts = partCountForBits(omsb); | |||
1113 | lf = shiftRight(fullSignificand, significantParts, bits); | |||
1114 | lost_fraction = combineLostFractions(lf, lost_fraction); | |||
1115 | exponent += bits; | |||
1116 | } | |||
1117 | ||||
1118 | APInt::tcAssign(lhsSignificand, fullSignificand, partsCount); | |||
1119 | ||||
1120 | if (newPartsCount > 4) | |||
1121 | delete [] fullSignificand; | |||
1122 | ||||
1123 | return lost_fraction; | |||
1124 | } | |||
1125 | ||||
1126 | lostFraction IEEEFloat::multiplySignificand(const IEEEFloat &rhs) { | |||
1127 | return multiplySignificand(rhs, IEEEFloat(*semantics)); | |||
1128 | } | |||
1129 | ||||
1130 | /* Multiply the significands of LHS and RHS to DST. */ | |||
1131 | lostFraction IEEEFloat::divideSignificand(const IEEEFloat &rhs) { | |||
1132 | unsigned int bit, i, partsCount; | |||
1133 | const integerPart *rhsSignificand; | |||
1134 | integerPart *lhsSignificand, *dividend, *divisor; | |||
1135 | integerPart scratch[4]; | |||
1136 | lostFraction lost_fraction; | |||
1137 | ||||
1138 | assert(semantics == rhs.semantics)((semantics == rhs.semantics) ? static_cast<void> (0) : __assert_fail ("semantics == rhs.semantics", "/build/llvm-toolchain-snapshot-11~++20200309111110+2c36c23f347/llvm/lib/Support/APFloat.cpp" , 1138, __PRETTY_FUNCTION__)); | |||
1139 | ||||
1140 | lhsSignificand = significandParts(); | |||
1141 | rhsSignificand = rhs.significandParts(); | |||
1142 | partsCount = partCount(); | |||
1143 | ||||
1144 | if (partsCount > 2) | |||
1145 | dividend = new integerPart[partsCount * 2]; | |||
1146 | else | |||
1147 | dividend = scratch; | |||
1148 | ||||
1149 | divisor = dividend + partsCount; | |||
1150 | ||||
1151 | /* Copy the dividend and divisor as they will be modified in-place. */ | |||
1152 | for (i = 0; i < partsCount; i++) { | |||
1153 | dividend[i] = lhsSignificand[i]; | |||
1154 | divisor[i] = rhsSignificand[i]; | |||
1155 | lhsSignificand[i] = 0; | |||
1156 | } | |||
1157 | ||||
1158 | exponent -= rhs.exponent; | |||
1159 | ||||
1160 | unsigned int precision = semantics->precision; | |||
1161 | ||||
1162 | /* Normalize the divisor. */ | |||
1163 | bit = precision - APInt::tcMSB(divisor, partsCount) - 1; | |||
1164 | if (bit) { | |||
1165 | exponent += bit; | |||
1166 | APInt::tcShiftLeft(divisor, partsCount, bit); | |||
1167 | } | |||
1168 | ||||
1169 | /* Normalize the dividend. */ | |||
1170 | bit = precision - APInt::tcMSB(dividend, partsCount) - 1; | |||
1171 | if (bit) { | |||
1172 | exponent -= bit; | |||
1173 | APInt::tcShiftLeft(dividend, partsCount, bit); | |||
1174 | } | |||
1175 | ||||
1176 | /* Ensure the dividend >= divisor initially for the loop below. | |||
1177 | Incidentally, this means that the division loop below is | |||
1178 | guaranteed to set the integer bit to one. */ | |||
1179 | if (APInt::tcCompare(dividend, divisor, partsCount) < 0) { | |||
1180 | exponent--; | |||
1181 | APInt::tcShiftLeft(dividend, partsCount, 1); | |||
1182 | assert(APInt::tcCompare(dividend, divisor, partsCount) >= 0)((APInt::tcCompare(dividend, divisor, partsCount) >= 0) ? static_cast <void> (0) : __assert_fail ("APInt::tcCompare(dividend, divisor, partsCount) >= 0" , "/build/llvm-toolchain-snapshot-11~++20200309111110+2c36c23f347/llvm/lib/Support/APFloat.cpp" , 1182, __PRETTY_FUNCTION__)); | |||
1183 | } | |||
1184 | ||||
1185 | /* Long division. */ | |||
1186 | for (bit = precision; bit; bit -= 1) { | |||
1187 | if (APInt::tcCompare(dividend, divisor, partsCount) >= 0) { | |||
1188 | APInt::tcSubtract(dividend, divisor, 0, partsCount); | |||
1189 | APInt::tcSetBit(lhsSignificand, bit - 1); | |||
1190 | } | |||
1191 | ||||
1192 | APInt::tcShiftLeft(dividend, partsCount, 1); | |||
1193 | } | |||
1194 | ||||
1195 | /* Figure out the lost fraction. */ | |||
1196 | int cmp = APInt::tcCompare(dividend, divisor, partsCount); | |||
1197 | ||||
1198 | if (cmp > 0) | |||
1199 | lost_fraction = lfMoreThanHalf; | |||
1200 | else if (cmp == 0) | |||
1201 | lost_fraction = lfExactlyHalf; | |||
1202 | else if (APInt::tcIsZero(dividend, partsCount)) | |||
1203 | lost_fraction = lfExactlyZero; | |||
1204 | else | |||
1205 | lost_fraction = lfLessThanHalf; | |||
1206 | ||||
1207 | if (partsCount > 2) | |||
1208 | delete [] dividend; | |||
1209 | ||||
1210 | return lost_fraction; | |||
1211 | } | |||
1212 | ||||
1213 | unsigned int IEEEFloat::significandMSB() const { | |||
1214 | return APInt::tcMSB(significandParts(), partCount()); | |||
1215 | } | |||
1216 | ||||
1217 | unsigned int IEEEFloat::significandLSB() const { | |||
1218 | return APInt::tcLSB(significandParts(), partCount()); | |||
1219 | } | |||
1220 | ||||
1221 | /* Note that a zero result is NOT normalized to fcZero. */ | |||
1222 | lostFraction IEEEFloat::shiftSignificandRight(unsigned int bits) { | |||
1223 | /* Our exponent should not overflow. */ | |||
1224 | assert((ExponentType) (exponent + bits) >= exponent)(((ExponentType) (exponent + bits) >= exponent) ? static_cast <void> (0) : __assert_fail ("(ExponentType) (exponent + bits) >= exponent" , "/build/llvm-toolchain-snapshot-11~++20200309111110+2c36c23f347/llvm/lib/Support/APFloat.cpp" , 1224, __PRETTY_FUNCTION__)); | |||
1225 | ||||
1226 | exponent += bits; | |||
1227 | ||||
1228 | return shiftRight(significandParts(), partCount(), bits); | |||
1229 | } | |||
1230 | ||||
1231 | /* Shift the significand left BITS bits, subtract BITS from its exponent. */ | |||
1232 | void IEEEFloat::shiftSignificandLeft(unsigned int bits) { | |||
1233 | assert(bits < semantics->precision)((bits < semantics->precision) ? static_cast<void> (0) : __assert_fail ("bits < semantics->precision", "/build/llvm-toolchain-snapshot-11~++20200309111110+2c36c23f347/llvm/lib/Support/APFloat.cpp" , 1233, __PRETTY_FUNCTION__)); | |||
1234 | ||||
1235 | if (bits) { | |||
1236 | unsigned int partsCount = partCount(); | |||
1237 | ||||
1238 | APInt::tcShiftLeft(significandParts(), partsCount, bits); | |||
1239 | exponent -= bits; | |||
1240 | ||||
1241 | assert(!APInt::tcIsZero(significandParts(), partsCount))((!APInt::tcIsZero(significandParts(), partsCount)) ? static_cast <void> (0) : __assert_fail ("!APInt::tcIsZero(significandParts(), partsCount)" , "/build/llvm-toolchain-snapshot-11~++20200309111110+2c36c23f347/llvm/lib/Support/APFloat.cpp" , 1241, __PRETTY_FUNCTION__)); | |||
1242 | } | |||
1243 | } | |||
1244 | ||||
1245 | IEEEFloat::cmpResult | |||
1246 | IEEEFloat::compareAbsoluteValue(const IEEEFloat &rhs) const { | |||
1247 | int compare; | |||
1248 | ||||
1249 | assert(semantics == rhs.semantics)((semantics == rhs.semantics) ? static_cast<void> (0) : __assert_fail ("semantics == rhs.semantics", "/build/llvm-toolchain-snapshot-11~++20200309111110+2c36c23f347/llvm/lib/Support/APFloat.cpp" , 1249, __PRETTY_FUNCTION__)); | |||
1250 | assert(isFiniteNonZero())((isFiniteNonZero()) ? static_cast<void> (0) : __assert_fail ("isFiniteNonZero()", "/build/llvm-toolchain-snapshot-11~++20200309111110+2c36c23f347/llvm/lib/Support/APFloat.cpp" , 1250, __PRETTY_FUNCTION__)); | |||
1251 | assert(rhs.isFiniteNonZero())((rhs.isFiniteNonZero()) ? static_cast<void> (0) : __assert_fail ("rhs.isFiniteNonZero()", "/build/llvm-toolchain-snapshot-11~++20200309111110+2c36c23f347/llvm/lib/Support/APFloat.cpp" , 1251, __PRETTY_FUNCTION__)); | |||
1252 | ||||
1253 | compare = exponent - rhs.exponent; | |||
1254 | ||||
1255 | /* If exponents are equal, do an unsigned bignum comparison of the | |||
1256 | significands. */ | |||
1257 | if (compare == 0) | |||
1258 | compare = APInt::tcCompare(significandParts(), rhs.significandParts(), | |||
1259 | partCount()); | |||
1260 | ||||
1261 | if (compare > 0) | |||
1262 | return cmpGreaterThan; | |||
1263 | else if (compare < 0) | |||
1264 | return cmpLessThan; | |||
1265 | else | |||
1266 | return cmpEqual; | |||
1267 | } | |||
1268 | ||||
1269 | /* Handle overflow. Sign is preserved. We either become infinity or | |||
1270 | the largest finite number. */ | |||
1271 | IEEEFloat::opStatus IEEEFloat::handleOverflow(roundingMode rounding_mode) { | |||
1272 | /* Infinity? */ | |||
1273 | if (rounding_mode == rmNearestTiesToEven || | |||
1274 | rounding_mode == rmNearestTiesToAway || | |||
1275 | (rounding_mode == rmTowardPositive && !sign) || | |||
1276 | (rounding_mode == rmTowardNegative && sign)) { | |||
1277 | category = fcInfinity; | |||
1278 | return (opStatus) (opOverflow | opInexact); | |||
1279 | } | |||
1280 | ||||
1281 | /* Otherwise we become the largest finite number. */ | |||
1282 | category = fcNormal; | |||
1283 | exponent = semantics->maxExponent; | |||
1284 | APInt::tcSetLeastSignificantBits(significandParts(), partCount(), | |||
1285 | semantics->precision); | |||
1286 | ||||
1287 | return opInexact; | |||
1288 | } | |||
1289 | ||||
1290 | /* Returns TRUE if, when truncating the current number, with BIT the | |||
1291 | new LSB, with the given lost fraction and rounding mode, the result | |||
1292 | would need to be rounded away from zero (i.e., by increasing the | |||
1293 | signficand). This routine must work for fcZero of both signs, and | |||
1294 | fcNormal numbers. */ | |||
1295 | bool IEEEFloat::roundAwayFromZero(roundingMode rounding_mode, | |||
1296 | lostFraction lost_fraction, | |||
1297 | unsigned int bit) const { | |||
1298 | /* NaNs and infinities should not have lost fractions. */ | |||
1299 | assert(isFiniteNonZero() || category == fcZero)((isFiniteNonZero() || category == fcZero) ? static_cast<void > (0) : __assert_fail ("isFiniteNonZero() || category == fcZero" , "/build/llvm-toolchain-snapshot-11~++20200309111110+2c36c23f347/llvm/lib/Support/APFloat.cpp" , 1299, __PRETTY_FUNCTION__)); | |||
1300 | ||||
1301 | /* Current callers never pass this so we don't handle it. */ | |||
1302 | assert(lost_fraction != lfExactlyZero)((lost_fraction != lfExactlyZero) ? static_cast<void> ( 0) : __assert_fail ("lost_fraction != lfExactlyZero", "/build/llvm-toolchain-snapshot-11~++20200309111110+2c36c23f347/llvm/lib/Support/APFloat.cpp" , 1302, __PRETTY_FUNCTION__)); | |||
1303 | ||||
1304 | switch (rounding_mode) { | |||
1305 | case rmNearestTiesToAway: | |||
1306 | return lost_fraction == lfExactlyHalf || lost_fraction == lfMoreThanHalf; | |||
1307 | ||||
1308 | case rmNearestTiesToEven: | |||
1309 | if (lost_fraction == lfMoreThanHalf) | |||
1310 | return true; | |||
1311 | ||||
1312 | /* Our zeroes don't have a significand to test. */ | |||
1313 | if (lost_fraction == lfExactlyHalf && category != fcZero) | |||
1314 | return APInt::tcExtractBit(significandParts(), bit); | |||
1315 | ||||
1316 | return false; | |||
1317 | ||||
1318 | case rmTowardZero: | |||
1319 | return false; | |||
1320 | ||||
1321 | case rmTowardPositive: | |||
1322 | return !sign; | |||
1323 | ||||
1324 | case rmTowardNegative: | |||
1325 | return sign; | |||
1326 | } | |||
1327 | llvm_unreachable("Invalid rounding mode found")::llvm::llvm_unreachable_internal("Invalid rounding mode found" , "/build/llvm-toolchain-snapshot-11~++20200309111110+2c36c23f347/llvm/lib/Support/APFloat.cpp" , 1327); | |||
1328 | } | |||
1329 | ||||
1330 | IEEEFloat::opStatus IEEEFloat::normalize(roundingMode rounding_mode, | |||
1331 | lostFraction lost_fraction) { | |||
1332 | unsigned int omsb; /* One, not zero, based MSB. */ | |||
1333 | int exponentChange; | |||
1334 | ||||
1335 | if (!isFiniteNonZero()) | |||
1336 | return opOK; | |||
1337 | ||||
1338 | /* Before rounding normalize the exponent of fcNormal numbers. */ | |||
1339 | omsb = significandMSB() + 1; | |||
1340 | ||||
1341 | if (omsb) { | |||
1342 | /* OMSB is numbered from 1. We want to place it in the integer | |||
1343 | bit numbered PRECISION if possible, with a compensating change in | |||
1344 | the exponent. */ | |||
1345 | exponentChange = omsb - semantics->precision; | |||
1346 | ||||
1347 | /* If the resulting exponent is too high, overflow according to | |||
1348 | the rounding mode. */ | |||
1349 | if (exponent + exponentChange > semantics->maxExponent) | |||
1350 | return handleOverflow(rounding_mode); | |||
1351 | ||||
1352 | /* Subnormal numbers have exponent minExponent, and their MSB | |||
1353 | is forced based on that. */ | |||
1354 | if (exponent + exponentChange < semantics->minExponent) | |||
1355 | exponentChange = semantics->minExponent - exponent; | |||
1356 | ||||
1357 | /* Shifting left is easy as we don't lose precision. */ | |||
1358 | if (exponentChange < 0) { | |||
1359 | assert(lost_fraction == lfExactlyZero)((lost_fraction == lfExactlyZero) ? static_cast<void> ( 0) : __assert_fail ("lost_fraction == lfExactlyZero", "/build/llvm-toolchain-snapshot-11~++20200309111110+2c36c23f347/llvm/lib/Support/APFloat.cpp" , 1359, __PRETTY_FUNCTION__)); | |||
1360 | ||||
1361 | shiftSignificandLeft(-exponentChange); | |||
1362 | ||||
1363 | return opOK; | |||
1364 | } | |||
1365 | ||||
1366 | if (exponentChange > 0) { | |||
1367 | lostFraction lf; | |||
1368 | ||||
1369 | /* Shift right and capture any new lost fraction. */ | |||
1370 | lf = shiftSignificandRight(exponentChange); | |||
1371 | ||||
1372 | lost_fraction = combineLostFractions(lf, lost_fraction); | |||
1373 | ||||
1374 | /* Keep OMSB up-to-date. */ | |||
1375 | if (omsb > (unsigned) exponentChange) | |||
1376 | omsb -= exponentChange; | |||
1377 | else | |||
1378 | omsb = 0; | |||
1379 | } | |||
1380 | } | |||
1381 | ||||
1382 | /* Now round the number according to rounding_mode given the lost | |||
1383 | fraction. */ | |||
1384 | ||||
1385 | /* As specified in IEEE 754, since we do not trap we do not report | |||
1386 | underflow for exact results. */ | |||
1387 | if (lost_fraction == lfExactlyZero) { | |||
1388 | /* Canonicalize zeroes. */ | |||
1389 | if (omsb == 0) | |||
1390 | category = fcZero; | |||
1391 | ||||
1392 | return opOK; | |||
1393 | } | |||
1394 | ||||
1395 | /* Increment the significand if we're rounding away from zero. */ | |||
1396 | if (roundAwayFromZero(rounding_mode, lost_fraction, 0)) { | |||
1397 | if (omsb == 0) | |||
1398 | exponent = semantics->minExponent; | |||
1399 | ||||
1400 | incrementSignificand(); | |||
1401 | omsb = significandMSB() + 1; | |||
1402 | ||||
1403 | /* Did the significand increment overflow? */ | |||
1404 | if (omsb == (unsigned) semantics->precision + 1) { | |||
1405 | /* Renormalize by incrementing the exponent and shifting our | |||
1406 | significand right one. However if we already have the | |||
1407 | maximum exponent we overflow to infinity. */ | |||
1408 | if (exponent == semantics->maxExponent) { | |||
1409 | category = fcInfinity; | |||
1410 | ||||
1411 | return (opStatus) (opOverflow | opInexact); | |||
1412 | } | |||
1413 | ||||
1414 | shiftSignificandRight(1); | |||
1415 | ||||
1416 | return opInexact; | |||
1417 | } | |||
1418 | } | |||
1419 | ||||
1420 | /* The normal case - we were and are not denormal, and any | |||
1421 | significand increment above didn't overflow. */ | |||
1422 | if (omsb == semantics->precision) | |||
1423 | return opInexact; | |||
1424 | ||||
1425 | /* We have a non-zero denormal. */ | |||
1426 | assert(omsb < semantics->precision)((omsb < semantics->precision) ? static_cast<void> (0) : __assert_fail ("omsb < semantics->precision", "/build/llvm-toolchain-snapshot-11~++20200309111110+2c36c23f347/llvm/lib/Support/APFloat.cpp" , 1426, __PRETTY_FUNCTION__)); | |||
1427 | ||||
1428 | /* Canonicalize zeroes. */ | |||
1429 | if (omsb == 0) | |||
1430 | category = fcZero; | |||
1431 | ||||
1432 | /* The fcZero case is a denormal that underflowed to zero. */ | |||
1433 | return (opStatus) (opUnderflow | opInexact); | |||
1434 | } | |||
1435 | ||||
1436 | IEEEFloat::opStatus IEEEFloat::addOrSubtractSpecials(const IEEEFloat &rhs, | |||
1437 | bool subtract) { | |||
1438 | switch (PackCategoriesIntoKey(category, rhs.category)((category) * 4 + (rhs.category))) { | |||
1439 | default: | |||
1440 | llvm_unreachable(nullptr)::llvm::llvm_unreachable_internal(nullptr, "/build/llvm-toolchain-snapshot-11~++20200309111110+2c36c23f347/llvm/lib/Support/APFloat.cpp" , 1440); | |||
1441 | ||||
1442 | case PackCategoriesIntoKey(fcZero, fcNaN)((fcZero) * 4 + (fcNaN)): | |||
1443 | case PackCategoriesIntoKey(fcNormal, fcNaN)((fcNormal) * 4 + (fcNaN)): | |||
1444 | case PackCategoriesIntoKey(fcInfinity, fcNaN)((fcInfinity) * 4 + (fcNaN)): | |||
1445 | assign(rhs); | |||
1446 | LLVM_FALLTHROUGH[[gnu::fallthrough]]; | |||
1447 | case PackCategoriesIntoKey(fcNaN, fcZero)((fcNaN) * 4 + (fcZero)): | |||
1448 | case PackCategoriesIntoKey(fcNaN, fcNormal)((fcNaN) * 4 + (fcNormal)): | |||
1449 | case PackCategoriesIntoKey(fcNaN, fcInfinity)((fcNaN) * 4 + (fcInfinity)): | |||
1450 | case PackCategoriesIntoKey(fcNaN, fcNaN)((fcNaN) * 4 + (fcNaN)): | |||
1451 | if (isSignaling()) { | |||
1452 | makeQuiet(); | |||
1453 | return opInvalidOp; | |||
1454 | } | |||
1455 | return rhs.isSignaling() ? opInvalidOp : opOK; | |||
1456 | ||||
1457 | case PackCategoriesIntoKey(fcNormal, fcZero)((fcNormal) * 4 + (fcZero)): | |||
1458 | case PackCategoriesIntoKey(fcInfinity, fcNormal)((fcInfinity) * 4 + (fcNormal)): | |||
1459 | case PackCategoriesIntoKey(fcInfinity, fcZero)((fcInfinity) * 4 + (fcZero)): | |||
1460 | return opOK; | |||
1461 | ||||
1462 | case PackCategoriesIntoKey(fcNormal, fcInfinity)((fcNormal) * 4 + (fcInfinity)): | |||
1463 | case PackCategoriesIntoKey(fcZero, fcInfinity)((fcZero) * 4 + (fcInfinity)): | |||
1464 | category = fcInfinity; | |||
1465 | sign = rhs.sign ^ subtract; | |||
1466 | return opOK; | |||
1467 | ||||
1468 | case PackCategoriesIntoKey(fcZero, fcNormal)((fcZero) * 4 + (fcNormal)): | |||
1469 | assign(rhs); | |||
1470 | sign = rhs.sign ^ subtract; | |||
1471 | return opOK; | |||
1472 | ||||
1473 | case PackCategoriesIntoKey(fcZero, fcZero)((fcZero) * 4 + (fcZero)): | |||
1474 | /* Sign depends on rounding mode; handled by caller. */ | |||
1475 | return opOK; | |||
1476 | ||||
1477 | case PackCategoriesIntoKey(fcInfinity, fcInfinity)((fcInfinity) * 4 + (fcInfinity)): | |||
1478 | /* Differently signed infinities can only be validly | |||
1479 | subtracted. */ | |||
1480 | if (((sign ^ rhs.sign)!=0) != subtract) { | |||
1481 | makeNaN(); | |||
1482 | return opInvalidOp; | |||
1483 | } | |||
1484 | ||||
1485 | return opOK; | |||
1486 | ||||
1487 | case PackCategoriesIntoKey(fcNormal, fcNormal)((fcNormal) * 4 + (fcNormal)): | |||
1488 | return opDivByZero; | |||
1489 | } | |||
1490 | } | |||
1491 | ||||
1492 | /* Add or subtract two normal numbers. */ | |||
1493 | lostFraction IEEEFloat::addOrSubtractSignificand(const IEEEFloat &rhs, | |||
1494 | bool subtract) { | |||
1495 | integerPart carry; | |||
1496 | lostFraction lost_fraction; | |||
1497 | int bits; | |||
1498 | ||||
1499 | /* Determine if the operation on the absolute values is effectively | |||
1500 | an addition or subtraction. */ | |||
1501 | subtract ^= static_cast<bool>(sign ^ rhs.sign); | |||
1502 | ||||
1503 | /* Are we bigger exponent-wise than the RHS? */ | |||
1504 | bits = exponent - rhs.exponent; | |||
1505 | ||||
1506 | /* Subtraction is more subtle than one might naively expect. */ | |||
1507 | if (subtract) { | |||
1508 | IEEEFloat temp_rhs(rhs); | |||
1509 | ||||
1510 | if (bits == 0) | |||
1511 | lost_fraction = lfExactlyZero; | |||
1512 | else if (bits > 0) { | |||
1513 | lost_fraction = temp_rhs.shiftSignificandRight(bits - 1); | |||
1514 | shiftSignificandLeft(1); | |||
1515 | } else { | |||
1516 | lost_fraction = shiftSignificandRight(-bits - 1); | |||
1517 | temp_rhs.shiftSignificandLeft(1); | |||
1518 | } | |||
1519 | ||||
1520 | // Should we reverse the subtraction. | |||
1521 | if (compareAbsoluteValue(temp_rhs) == cmpLessThan) { | |||
1522 | carry = temp_rhs.subtractSignificand | |||
1523 | (*this, lost_fraction != lfExactlyZero); | |||
1524 | copySignificand(temp_rhs); | |||
1525 | sign = !sign; | |||
1526 | } else { | |||
1527 | carry = subtractSignificand | |||
1528 | (temp_rhs, lost_fraction != lfExactlyZero); | |||
1529 | } | |||
1530 | ||||
1531 | /* Invert the lost fraction - it was on the RHS and | |||
1532 | subtracted. */ | |||
1533 | if (lost_fraction == lfLessThanHalf) | |||
1534 | lost_fraction = lfMoreThanHalf; | |||
1535 | else if (lost_fraction == lfMoreThanHalf) | |||
1536 | lost_fraction = lfLessThanHalf; | |||
1537 | ||||
1538 | /* The code above is intended to ensure that no borrow is | |||
1539 | necessary. */ | |||
1540 | assert(!carry)((!carry) ? static_cast<void> (0) : __assert_fail ("!carry" , "/build/llvm-toolchain-snapshot-11~++20200309111110+2c36c23f347/llvm/lib/Support/APFloat.cpp" , 1540, __PRETTY_FUNCTION__)); | |||
1541 | (void)carry; | |||
1542 | } else { | |||
1543 | if (bits > 0) { | |||
1544 | IEEEFloat temp_rhs(rhs); | |||
1545 | ||||
1546 | lost_fraction = temp_rhs.shiftSignificandRight(bits); | |||
1547 | carry = addSignificand(temp_rhs); | |||
1548 | } else { | |||
1549 | lost_fraction = shiftSignificandRight(-bits); | |||
1550 | carry = addSignificand(rhs); | |||
1551 | } | |||
1552 | ||||
1553 | /* We have a guard bit; generating a carry cannot happen. */ | |||
1554 | assert(!carry)((!carry) ? static_cast<void> (0) : __assert_fail ("!carry" , "/build/llvm-toolchain-snapshot-11~++20200309111110+2c36c23f347/llvm/lib/Support/APFloat.cpp" , 1554, __PRETTY_FUNCTION__)); | |||
1555 | (void)carry; | |||
1556 | } | |||
1557 | ||||
1558 | return lost_fraction; | |||
1559 | } | |||
1560 | ||||
1561 | IEEEFloat::opStatus IEEEFloat::multiplySpecials(const IEEEFloat &rhs) { | |||
1562 | switch (PackCategoriesIntoKey(category, rhs.category)((category) * 4 + (rhs.category))) { | |||
1563 | default: | |||
1564 | llvm_unreachable(nullptr)::llvm::llvm_unreachable_internal(nullptr, "/build/llvm-toolchain-snapshot-11~++20200309111110+2c36c23f347/llvm/lib/Support/APFloat.cpp" , 1564); | |||
1565 | ||||
1566 | case PackCategoriesIntoKey(fcZero, fcNaN)((fcZero) * 4 + (fcNaN)): | |||
1567 | case PackCategoriesIntoKey(fcNormal, fcNaN)((fcNormal) * 4 + (fcNaN)): | |||
1568 | case PackCategoriesIntoKey(fcInfinity, fcNaN)((fcInfinity) * 4 + (fcNaN)): | |||
1569 | assign(rhs); | |||
1570 | sign = false; | |||
1571 | LLVM_FALLTHROUGH[[gnu::fallthrough]]; | |||
1572 | case PackCategoriesIntoKey(fcNaN, fcZero)((fcNaN) * 4 + (fcZero)): | |||
1573 | case PackCategoriesIntoKey(fcNaN, fcNormal)((fcNaN) * 4 + (fcNormal)): | |||
1574 | case PackCategoriesIntoKey(fcNaN, fcInfinity)((fcNaN) * 4 + (fcInfinity)): | |||
1575 | case PackCategoriesIntoKey(fcNaN, fcNaN)((fcNaN) * 4 + (fcNaN)): | |||
1576 | sign ^= rhs.sign; // restore the original sign | |||
1577 | if (isSignaling()) { | |||
1578 | makeQuiet(); | |||
1579 | return opInvalidOp; | |||
1580 | } | |||
1581 | return rhs.isSignaling() ? opInvalidOp : opOK; | |||
1582 | ||||
1583 | case PackCategoriesIntoKey(fcNormal, fcInfinity)((fcNormal) * 4 + (fcInfinity)): | |||
1584 | case PackCategoriesIntoKey(fcInfinity, fcNormal)((fcInfinity) * 4 + (fcNormal)): | |||
1585 | case PackCategoriesIntoKey(fcInfinity, fcInfinity)((fcInfinity) * 4 + (fcInfinity)): | |||
1586 | category = fcInfinity; | |||
1587 | return opOK; | |||
1588 | ||||
1589 | case PackCategoriesIntoKey(fcZero, fcNormal)((fcZero) * 4 + (fcNormal)): | |||
1590 | case PackCategoriesIntoKey(fcNormal, fcZero)((fcNormal) * 4 + (fcZero)): | |||
1591 | case PackCategoriesIntoKey(fcZero, fcZero)((fcZero) * 4 + (fcZero)): | |||
1592 | category = fcZero; | |||
1593 | return opOK; | |||
1594 | ||||
1595 | case PackCategoriesIntoKey(fcZero, fcInfinity)((fcZero) * 4 + (fcInfinity)): | |||
1596 | case PackCategoriesIntoKey(fcInfinity, fcZero)((fcInfinity) * 4 + (fcZero)): | |||
1597 | makeNaN(); | |||
1598 | return opInvalidOp; | |||
1599 | ||||
1600 | case PackCategoriesIntoKey(fcNormal, fcNormal)((fcNormal) * 4 + (fcNormal)): | |||
1601 | return opOK; | |||
1602 | } | |||
1603 | } | |||
1604 | ||||
1605 | IEEEFloat::opStatus IEEEFloat::divideSpecials(const IEEEFloat &rhs) { | |||
1606 | switch (PackCategoriesIntoKey(category, rhs.category)((category) * 4 + (rhs.category))) { | |||
1607 | default: | |||
1608 | llvm_unreachable(nullptr)::llvm::llvm_unreachable_internal(nullptr, "/build/llvm-toolchain-snapshot-11~++20200309111110+2c36c23f347/llvm/lib/Support/APFloat.cpp" , 1608); | |||
1609 | ||||
1610 | case PackCategoriesIntoKey(fcZero, fcNaN)((fcZero) * 4 + (fcNaN)): | |||
1611 | case PackCategoriesIntoKey(fcNormal, fcNaN)((fcNormal) * 4 + (fcNaN)): | |||
1612 | case PackCategoriesIntoKey(fcInfinity, fcNaN)((fcInfinity) * 4 + (fcNaN)): | |||
1613 | assign(rhs); | |||
1614 | sign = false; | |||
1615 | LLVM_FALLTHROUGH[[gnu::fallthrough]]; | |||
1616 | case PackCategoriesIntoKey(fcNaN, fcZero)((fcNaN) * 4 + (fcZero)): | |||
1617 | case PackCategoriesIntoKey(fcNaN, fcNormal)((fcNaN) * 4 + (fcNormal)): | |||
1618 | case PackCategoriesIntoKey(fcNaN, fcInfinity)((fcNaN) * 4 + (fcInfinity)): | |||
1619 | case PackCategoriesIntoKey(fcNaN, fcNaN)((fcNaN) * 4 + (fcNaN)): | |||
1620 | sign ^= rhs.sign; // restore the original sign | |||
1621 | if (isSignaling()) { | |||
1622 | makeQuiet(); | |||
1623 | return opInvalidOp; | |||
1624 | } | |||
1625 | return rhs.isSignaling() ? opInvalidOp : opOK; | |||
1626 | ||||
1627 | case PackCategoriesIntoKey(fcInfinity, fcZero)((fcInfinity) * 4 + (fcZero)): | |||
1628 | case PackCategoriesIntoKey(fcInfinity, fcNormal)((fcInfinity) * 4 + (fcNormal)): | |||
1629 | case PackCategoriesIntoKey(fcZero, fcInfinity)((fcZero) * 4 + (fcInfinity)): | |||
1630 | case PackCategoriesIntoKey(fcZero, fcNormal)((fcZero) * 4 + (fcNormal)): | |||
1631 | return opOK; | |||
1632 | ||||
1633 | case PackCategoriesIntoKey(fcNormal, fcInfinity)((fcNormal) * 4 + (fcInfinity)): | |||
1634 | category = fcZero; | |||
1635 | return opOK; | |||
1636 | ||||
1637 | case PackCategoriesIntoKey(fcNormal, fcZero)((fcNormal) * 4 + (fcZero)): | |||
1638 | category = fcInfinity; | |||
1639 | return opDivByZero; | |||
1640 | ||||
1641 | case PackCategoriesIntoKey(fcInfinity, fcInfinity)((fcInfinity) * 4 + (fcInfinity)): | |||
1642 | case PackCategoriesIntoKey(fcZero, fcZero)((fcZero) * 4 + (fcZero)): | |||
1643 | makeNaN(); | |||
1644 | return opInvalidOp; | |||
1645 | ||||
1646 | case PackCategoriesIntoKey(fcNormal, fcNormal)((fcNormal) * 4 + (fcNormal)): | |||
1647 | return opOK; | |||
1648 | } | |||
1649 | } | |||
1650 | ||||
1651 | IEEEFloat::opStatus IEEEFloat::modSpecials(const IEEEFloat &rhs) { | |||
1652 | switch (PackCategoriesIntoKey(category, rhs.category)((category) * 4 + (rhs.category))) { | |||
1653 | default: | |||
1654 | llvm_unreachable(nullptr)::llvm::llvm_unreachable_internal(nullptr, "/build/llvm-toolchain-snapshot-11~++20200309111110+2c36c23f347/llvm/lib/Support/APFloat.cpp" , 1654); | |||
1655 | ||||
1656 | case PackCategoriesIntoKey(fcZero, fcNaN)((fcZero) * 4 + (fcNaN)): | |||
1657 | case PackCategoriesIntoKey(fcNormal, fcNaN)((fcNormal) * 4 + (fcNaN)): | |||
1658 | case PackCategoriesIntoKey(fcInfinity, fcNaN)((fcInfinity) * 4 + (fcNaN)): | |||
1659 | assign(rhs); | |||
1660 | LLVM_FALLTHROUGH[[gnu::fallthrough]]; | |||
1661 | case PackCategoriesIntoKey(fcNaN, fcZero)((fcNaN) * 4 + (fcZero)): | |||
1662 | case PackCategoriesIntoKey(fcNaN, fcNormal)((fcNaN) * 4 + (fcNormal)): | |||
1663 | case PackCategoriesIntoKey(fcNaN, fcInfinity)((fcNaN) * 4 + (fcInfinity)): | |||
1664 | case PackCategoriesIntoKey(fcNaN, fcNaN)((fcNaN) * 4 + (fcNaN)): | |||
1665 | if (isSignaling()) { | |||
1666 | makeQuiet(); | |||
1667 | return opInvalidOp; | |||
1668 | } | |||
1669 | return rhs.isSignaling() ? opInvalidOp : opOK; | |||
1670 | ||||
1671 | case PackCategoriesIntoKey(fcZero, fcInfinity)((fcZero) * 4 + (fcInfinity)): | |||
1672 | case PackCategoriesIntoKey(fcZero, fcNormal)((fcZero) * 4 + (fcNormal)): | |||
1673 | case PackCategoriesIntoKey(fcNormal, fcInfinity)((fcNormal) * 4 + (fcInfinity)): | |||
1674 | return opOK; | |||
1675 | ||||
1676 | case PackCategoriesIntoKey(fcNormal, fcZero)((fcNormal) * 4 + (fcZero)): | |||
1677 | case PackCategoriesIntoKey(fcInfinity, fcZero)((fcInfinity) * 4 + (fcZero)): | |||
1678 | case PackCategoriesIntoKey(fcInfinity, fcNormal)((fcInfinity) * 4 + (fcNormal)): | |||
1679 | case PackCategoriesIntoKey(fcInfinity, fcInfinity)((fcInfinity) * 4 + (fcInfinity)): | |||
1680 | case PackCategoriesIntoKey(fcZero, fcZero)((fcZero) * 4 + (fcZero)): | |||
1681 | makeNaN(); | |||
1682 | return opInvalidOp; | |||
1683 | ||||
1684 | case PackCategoriesIntoKey(fcNormal, fcNormal)((fcNormal) * 4 + (fcNormal)): | |||
1685 | return opOK; | |||
1686 | } | |||
1687 | } | |||
1688 | ||||
1689 | IEEEFloat::opStatus IEEEFloat::remainderSpecials(const IEEEFloat &rhs) { | |||
1690 | switch (PackCategoriesIntoKey(category, rhs.category)((category) * 4 + (rhs.category))) { | |||
1691 | default: | |||
1692 | llvm_unreachable(nullptr)::llvm::llvm_unreachable_internal(nullptr, "/build/llvm-toolchain-snapshot-11~++20200309111110+2c36c23f347/llvm/lib/Support/APFloat.cpp" , 1692); | |||
1693 | ||||
1694 | case PackCategoriesIntoKey(fcZero, fcNaN)((fcZero) * 4 + (fcNaN)): | |||
1695 | case PackCategoriesIntoKey(fcNormal, fcNaN)((fcNormal) * 4 + (fcNaN)): | |||
1696 | case PackCategoriesIntoKey(fcInfinity, fcNaN)((fcInfinity) * 4 + (fcNaN)): | |||
1697 | assign(rhs); | |||
1698 | LLVM_FALLTHROUGH[[gnu::fallthrough]]; | |||
1699 | case PackCategoriesIntoKey(fcNaN, fcZero)((fcNaN) * 4 + (fcZero)): | |||
1700 | case PackCategoriesIntoKey(fcNaN, fcNormal)((fcNaN) * 4 + (fcNormal)): | |||
1701 | case PackCategoriesIntoKey(fcNaN, fcInfinity)((fcNaN) * 4 + (fcInfinity)): | |||
1702 | case PackCategoriesIntoKey(fcNaN, fcNaN)((fcNaN) * 4 + (fcNaN)): | |||
1703 | if (isSignaling()) { | |||
1704 | makeQuiet(); | |||
1705 | return opInvalidOp; | |||
1706 | } | |||
1707 | return rhs.isSignaling() ? opInvalidOp : opOK; | |||
1708 | ||||
1709 | case PackCategoriesIntoKey(fcZero, fcInfinity)((fcZero) * 4 + (fcInfinity)): | |||
1710 | case PackCategoriesIntoKey(fcZero, fcNormal)((fcZero) * 4 + (fcNormal)): | |||
1711 | case PackCategoriesIntoKey(fcNormal, fcInfinity)((fcNormal) * 4 + (fcInfinity)): | |||
1712 | return opOK; | |||
1713 | ||||
1714 | case PackCategoriesIntoKey(fcNormal, fcZero)((fcNormal) * 4 + (fcZero)): | |||
1715 | case PackCategoriesIntoKey(fcInfinity, fcZero)((fcInfinity) * 4 + (fcZero)): | |||
1716 | case PackCategoriesIntoKey(fcInfinity, fcNormal)((fcInfinity) * 4 + (fcNormal)): | |||
1717 | case PackCategoriesIntoKey(fcInfinity, fcInfinity)((fcInfinity) * 4 + (fcInfinity)): | |||
1718 | case PackCategoriesIntoKey(fcZero, fcZero)((fcZero) * 4 + (fcZero)): | |||
1719 | makeNaN(); | |||
1720 | return opInvalidOp; | |||
1721 | ||||
1722 | case PackCategoriesIntoKey(fcNormal, fcNormal)((fcNormal) * 4 + (fcNormal)): | |||
1723 | return opDivByZero; // fake status, indicating this is not a special case | |||
1724 | } | |||
1725 | } | |||
1726 | ||||
1727 | /* Change sign. */ | |||
1728 | void IEEEFloat::changeSign() { | |||
1729 | /* Look mummy, this one's easy. */ | |||
1730 | sign = !sign; | |||
1731 | } | |||
1732 | ||||
1733 | /* Normalized addition or subtraction. */ | |||
1734 | IEEEFloat::opStatus IEEEFloat::addOrSubtract(const IEEEFloat &rhs, | |||
1735 | roundingMode rounding_mode, | |||
1736 | bool subtract) { | |||
1737 | opStatus fs; | |||
1738 | ||||
1739 | fs = addOrSubtractSpecials(rhs, subtract); | |||
1740 | ||||
1741 | /* This return code means it was not a simple case. */ | |||
1742 | if (fs == opDivByZero) { | |||
1743 | lostFraction lost_fraction; | |||
1744 | ||||
1745 | lost_fraction = addOrSubtractSignificand(rhs, subtract); | |||
1746 | fs = normalize(rounding_mode, lost_fraction); | |||
1747 | ||||
1748 | /* Can only be zero if we lost no fraction. */ | |||
1749 | assert(category != fcZero || lost_fraction == lfExactlyZero)((category != fcZero || lost_fraction == lfExactlyZero) ? static_cast <void> (0) : __assert_fail ("category != fcZero || lost_fraction == lfExactlyZero" , "/build/llvm-toolchain-snapshot-11~++20200309111110+2c36c23f347/llvm/lib/Support/APFloat.cpp" , 1749, __PRETTY_FUNCTION__)); | |||
1750 | } | |||
1751 | ||||
1752 | /* If two numbers add (exactly) to zero, IEEE 754 decrees it is a | |||
1753 | positive zero unless rounding to minus infinity, except that | |||
1754 | adding two like-signed zeroes gives that zero. */ | |||
1755 | if (category == fcZero) { | |||
1756 | if (rhs.category != fcZero || (sign == rhs.sign) == subtract) | |||
1757 | sign = (rounding_mode == rmTowardNegative); | |||
1758 | } | |||
1759 | ||||
1760 | return fs; | |||
1761 | } | |||
1762 | ||||
1763 | /* Normalized addition. */ | |||
1764 | IEEEFloat::opStatus IEEEFloat::add(const IEEEFloat &rhs, | |||
1765 | roundingMode rounding_mode) { | |||
1766 | return addOrSubtract(rhs, rounding_mode, false); | |||
1767 | } | |||
1768 | ||||
1769 | /* Normalized subtraction. */ | |||
1770 | IEEEFloat::opStatus IEEEFloat::subtract(const IEEEFloat &rhs, | |||
1771 | roundingMode rounding_mode) { | |||
1772 | return addOrSubtract(rhs, rounding_mode, true); | |||
1773 | } | |||
1774 | ||||
1775 | /* Normalized multiply. */ | |||
1776 | IEEEFloat::opStatus IEEEFloat::multiply(const IEEEFloat &rhs, | |||
1777 | roundingMode rounding_mode) { | |||
1778 | opStatus fs; | |||
1779 | ||||
1780 | sign ^= rhs.sign; | |||
1781 | fs = multiplySpecials(rhs); | |||
1782 | ||||
1783 | if (isFiniteNonZero()) { | |||
1784 | lostFraction lost_fraction = multiplySignificand(rhs); | |||
1785 | fs = normalize(rounding_mode, lost_fraction); | |||
1786 | if (lost_fraction != lfExactlyZero) | |||
1787 | fs = (opStatus) (fs | opInexact); | |||
1788 | } | |||
1789 | ||||
1790 | return fs; | |||
1791 | } | |||
1792 | ||||
1793 | /* Normalized divide. */ | |||
1794 | IEEEFloat::opStatus IEEEFloat::divide(const IEEEFloat &rhs, | |||
1795 | roundingMode rounding_mode) { | |||
1796 | opStatus fs; | |||
1797 | ||||
1798 | sign ^= rhs.sign; | |||
1799 | fs = divideSpecials(rhs); | |||
1800 | ||||
1801 | if (isFiniteNonZero()) { | |||
1802 | lostFraction lost_fraction = divideSignificand(rhs); | |||
1803 | fs = normalize(rounding_mode, lost_fraction); | |||
1804 | if (lost_fraction != lfExactlyZero) | |||
1805 | fs = (opStatus) (fs | opInexact); | |||
1806 | } | |||
1807 | ||||
1808 | return fs; | |||
1809 | } | |||
1810 | ||||
1811 | /* Normalized remainder. */ | |||
1812 | IEEEFloat::opStatus IEEEFloat::remainder(const IEEEFloat &rhs) { | |||
1813 | opStatus fs; | |||
1814 | unsigned int origSign = sign; | |||
1815 | ||||
1816 | // First handle the special cases. | |||
1817 | fs = remainderSpecials(rhs); | |||
1818 | if (fs != opDivByZero) | |||
1819 | return fs; | |||
1820 | ||||
1821 | fs = opOK; | |||
1822 | ||||
1823 | // Make sure the current value is less than twice the denom. If the addition | |||
1824 | // did not succeed (an overflow has happened), which means that the finite | |||
1825 | // value we currently posses must be less than twice the denom (as we are | |||
1826 | // using the same semantics). | |||
1827 | IEEEFloat P2 = rhs; | |||
1828 | if (P2.add(rhs, rmNearestTiesToEven) == opOK) { | |||
1829 | fs = mod(P2); | |||
1830 | assert(fs == opOK)((fs == opOK) ? static_cast<void> (0) : __assert_fail ( "fs == opOK", "/build/llvm-toolchain-snapshot-11~++20200309111110+2c36c23f347/llvm/lib/Support/APFloat.cpp" , 1830, __PRETTY_FUNCTION__)); | |||
1831 | } | |||
1832 | ||||
1833 | // Lets work with absolute numbers. | |||
1834 | IEEEFloat P = rhs; | |||
1835 | P.sign = false; | |||
1836 | sign = false; | |||
1837 | ||||
1838 | // | |||
1839 | // To calculate the remainder we use the following scheme. | |||
1840 | // | |||
1841 | // The remainder is defained as follows: | |||
1842 | // | |||
1843 | // remainder = numer - rquot * denom = x - r * p | |||
1844 | // | |||
1845 | // Where r is the result of: x/p, rounded toward the nearest integral value | |||
1846 | // (with halfway cases rounded toward the even number). | |||
1847 | // | |||
1848 | // Currently, (after x mod 2p): | |||
1849 | // r is the number of 2p's present inside x, which is inherently, an even | |||
1850 | // number of p's. | |||
1851 | // | |||
1852 | // We may split the remaining calculation into 4 options: | |||
1853 | // - if x < 0.5p then we round to the nearest number with is 0, and are done. | |||
1854 | // - if x == 0.5p then we round to the nearest even number which is 0, and we | |||
1855 | // are done as well. | |||
1856 | // - if 0.5p < x < p then we round to nearest number which is 1, and we have | |||
1857 | // to subtract 1p at least once. | |||
1858 | // - if x >= p then we must subtract p at least once, as x must be a | |||
1859 | // remainder. | |||
1860 | // | |||
1861 | // By now, we were done, or we added 1 to r, which in turn, now an odd number. | |||
1862 | // | |||
1863 | // We can now split the remaining calculation to the following 3 options: | |||
1864 | // - if x < 0.5p then we round to the nearest number with is 0, and are done. | |||
1865 | // - if x == 0.5p then we round to the nearest even number. As r is odd, we | |||
1866 | // must round up to the next even number. so we must subtract p once more. | |||
1867 | // - if x > 0.5p (and inherently x < p) then we must round r up to the next | |||
1868 | // integral, and subtract p once more. | |||
1869 | // | |||
1870 | ||||
1871 | // Extend the semantics to prevent an overflow/underflow or inexact result. | |||
1872 | bool losesInfo; | |||
1873 | fltSemantics extendedSemantics = *semantics; | |||
1874 | extendedSemantics.maxExponent++; | |||
1875 | extendedSemantics.minExponent--; | |||
1876 | extendedSemantics.precision += 2; | |||
1877 | ||||
1878 | IEEEFloat VEx = *this; | |||
1879 | fs = VEx.convert(extendedSemantics, rmNearestTiesToEven, &losesInfo); | |||
1880 | assert(fs == opOK && !losesInfo)((fs == opOK && !losesInfo) ? static_cast<void> (0) : __assert_fail ("fs == opOK && !losesInfo", "/build/llvm-toolchain-snapshot-11~++20200309111110+2c36c23f347/llvm/lib/Support/APFloat.cpp" , 1880, __PRETTY_FUNCTION__)); | |||
1881 | IEEEFloat PEx = P; | |||
1882 | fs = PEx.convert(extendedSemantics, rmNearestTiesToEven, &losesInfo); | |||
1883 | assert(fs == opOK && !losesInfo)((fs == opOK && !losesInfo) ? static_cast<void> (0) : __assert_fail ("fs == opOK && !losesInfo", "/build/llvm-toolchain-snapshot-11~++20200309111110+2c36c23f347/llvm/lib/Support/APFloat.cpp" , 1883, __PRETTY_FUNCTION__)); | |||
1884 | ||||
1885 | // It is simpler to work with 2x instead of 0.5p, and we do not need to lose | |||
1886 | // any fraction. | |||
1887 | fs = VEx.add(VEx, rmNearestTiesToEven); | |||
1888 | assert(fs == opOK)((fs == opOK) ? static_cast<void> (0) : __assert_fail ( "fs == opOK", "/build/llvm-toolchain-snapshot-11~++20200309111110+2c36c23f347/llvm/lib/Support/APFloat.cpp" , 1888, __PRETTY_FUNCTION__)); | |||
1889 | ||||
1890 | if (VEx.compare(PEx) == cmpGreaterThan) { | |||
1891 | fs = subtract(P, rmNearestTiesToEven); | |||
1892 | assert(fs == opOK)((fs == opOK) ? static_cast<void> (0) : __assert_fail ( "fs == opOK", "/build/llvm-toolchain-snapshot-11~++20200309111110+2c36c23f347/llvm/lib/Support/APFloat.cpp" , 1892, __PRETTY_FUNCTION__)); | |||
1893 | ||||
1894 | // Make VEx = this.add(this), but because we have different semantics, we do | |||
1895 | // not want to `convert` again, so we just subtract PEx twice (which equals | |||
1896 | // to the desired value). | |||
1897 | fs = VEx.subtract(PEx, rmNearestTiesToEven); | |||
1898 | assert(fs == opOK)((fs == opOK) ? static_cast<void> (0) : __assert_fail ( "fs == opOK", "/build/llvm-toolchain-snapshot-11~++20200309111110+2c36c23f347/llvm/lib/Support/APFloat.cpp" , 1898, __PRETTY_FUNCTION__)); | |||
1899 | fs = VEx.subtract(PEx, rmNearestTiesToEven); | |||
1900 | assert(fs == opOK)((fs == opOK) ? static_cast<void> (0) : __assert_fail ( "fs == opOK", "/build/llvm-toolchain-snapshot-11~++20200309111110+2c36c23f347/llvm/lib/Support/APFloat.cpp" , 1900, __PRETTY_FUNCTION__)); | |||
1901 | ||||
1902 | cmpResult result = VEx.compare(PEx); | |||
1903 | if (result == cmpGreaterThan || result == cmpEqual) { | |||
1904 | fs = subtract(P, rmNearestTiesToEven); | |||
1905 | assert(fs == opOK)((fs == opOK) ? static_cast<void> (0) : __assert_fail ( "fs == opOK", "/build/llvm-toolchain-snapshot-11~++20200309111110+2c36c23f347/llvm/lib/Support/APFloat.cpp" , 1905, __PRETTY_FUNCTION__)); | |||
1906 | } | |||
1907 | } | |||
1908 | ||||
1909 | if (isZero()) | |||
1910 | sign = origSign; // IEEE754 requires this | |||
1911 | else | |||
1912 | sign ^= origSign; | |||
1913 | return fs; | |||
1914 | } | |||
1915 | ||||
1916 | /* Normalized llvm frem (C fmod). */ | |||
1917 | IEEEFloat::opStatus IEEEFloat::mod(const IEEEFloat &rhs) { | |||
1918 | opStatus fs; | |||
1919 | fs = modSpecials(rhs); | |||
1920 | unsigned int origSign = sign; | |||
1921 | ||||
1922 | while (isFiniteNonZero() && rhs.isFiniteNonZero() && | |||
1923 | compareAbsoluteValue(rhs) != cmpLessThan) { | |||
1924 | IEEEFloat V = scalbn(rhs, ilogb(*this) - ilogb(rhs), rmNearestTiesToEven); | |||
1925 | if (compareAbsoluteValue(V) == cmpLessThan) | |||
1926 | V = scalbn(V, -1, rmNearestTiesToEven); | |||
1927 | V.sign = sign; | |||
1928 | ||||
1929 | fs = subtract(V, rmNearestTiesToEven); | |||
1930 | assert(fs==opOK)((fs==opOK) ? static_cast<void> (0) : __assert_fail ("fs==opOK" , "/build/llvm-toolchain-snapshot-11~++20200309111110+2c36c23f347/llvm/lib/Support/APFloat.cpp" , 1930, __PRETTY_FUNCTION__)); | |||
1931 | } | |||
1932 | if (isZero()) | |||
1933 | sign = origSign; // fmod requires this | |||
1934 | return fs; | |||
1935 | } | |||
1936 | ||||
1937 | /* Normalized fused-multiply-add. */ | |||
1938 | IEEEFloat::opStatus IEEEFloat::fusedMultiplyAdd(const IEEEFloat &multiplicand, | |||
1939 | const IEEEFloat &addend, | |||
1940 | roundingMode rounding_mode) { | |||
1941 | opStatus fs; | |||
1942 | ||||
1943 | /* Post-multiplication sign, before addition. */ | |||
1944 | sign ^= multiplicand.sign; | |||
1945 | ||||
1946 | /* If and only if all arguments are normal do we need to do an | |||
1947 | extended-precision calculation. */ | |||
1948 | if (isFiniteNonZero() && | |||
1949 | multiplicand.isFiniteNonZero() && | |||
1950 | addend.isFinite()) { | |||
1951 | lostFraction lost_fraction; | |||
1952 | ||||
1953 | lost_fraction = multiplySignificand(multiplicand, addend); | |||
1954 | fs = normalize(rounding_mode, lost_fraction); | |||
1955 | if (lost_fraction != lfExactlyZero) | |||
1956 | fs = (opStatus) (fs | opInexact); | |||
1957 | ||||
1958 | /* If two numbers add (exactly) to zero, IEEE 754 decrees it is a | |||
1959 | positive zero unless rounding to minus infinity, except that | |||
1960 | adding two like-signed zeroes gives that zero. */ | |||
1961 | if (category == fcZero && !(fs & opUnderflow) && sign != addend.sign) | |||
1962 | sign = (rounding_mode == rmTowardNegative); | |||
1963 | } else { | |||
1964 | fs = multiplySpecials(multiplicand); | |||
1965 | ||||
1966 | /* FS can only be opOK or opInvalidOp. There is no more work | |||
1967 | to do in the latter case. The IEEE-754R standard says it is | |||
1968 | implementation-defined in this case whether, if ADDEND is a | |||
1969 | quiet NaN, we raise invalid op; this implementation does so. | |||
1970 | ||||
1971 | If we need to do the addition we can do so with normal | |||
1972 | precision. */ | |||
1973 | if (fs == opOK) | |||
1974 | fs = addOrSubtract(addend, rounding_mode, false); | |||
1975 | } | |||
1976 | ||||
1977 | return fs; | |||
1978 | } | |||
1979 | ||||
1980 | /* Rounding-mode corrrect round to integral value. */ | |||
1981 | IEEEFloat::opStatus IEEEFloat::roundToIntegral(roundingMode rounding_mode) { | |||
1982 | opStatus fs; | |||
1983 | ||||
1984 | // If the exponent is large enough, we know that this value is already | |||
1985 | // integral, and the arithmetic below would potentially cause it to saturate | |||
1986 | // to +/-Inf. Bail out early instead. | |||
1987 | if (isFiniteNonZero() && exponent+1 >= (int)semanticsPrecision(*semantics)) | |||
1988 | return opOK; | |||
1989 | ||||
1990 | // The algorithm here is quite simple: we add 2^(p-1), where p is the | |||
1991 | // precision of our format, and then subtract it back off again. The choice | |||
1992 | // of rounding modes for the addition/subtraction determines the rounding mode | |||
1993 | // for our integral rounding as well. | |||
1994 | // NOTE: When the input value is negative, we do subtraction followed by | |||
1995 | // addition instead. | |||
1996 | APInt IntegerConstant(NextPowerOf2(semanticsPrecision(*semantics)), 1); | |||
1997 | IntegerConstant <<= semanticsPrecision(*semantics)-1; | |||
1998 | IEEEFloat MagicConstant(*semantics); | |||
1999 | fs = MagicConstant.convertFromAPInt(IntegerConstant, false, | |||
2000 | rmNearestTiesToEven); | |||
2001 | MagicConstant.sign = sign; | |||
2002 | ||||
2003 | if (fs != opOK) | |||
2004 | return fs; | |||
2005 | ||||
2006 | // Preserve the input sign so that we can handle 0.0/-0.0 cases correctly. | |||
2007 | bool inputSign = isNegative(); | |||
2008 | ||||
2009 | fs = add(MagicConstant, rounding_mode); | |||
2010 | if (fs != opOK && fs != opInexact) | |||
2011 | return fs; | |||
2012 | ||||
2013 | fs = subtract(MagicConstant, rounding_mode); | |||
2014 | ||||
2015 | // Restore the input sign. | |||
2016 | if (inputSign != isNegative()) | |||
2017 | changeSign(); | |||
2018 | ||||
2019 | return fs; | |||
2020 | } | |||
2021 | ||||
2022 | ||||
2023 | /* Comparison requires normalized numbers. */ | |||
2024 | IEEEFloat::cmpResult IEEEFloat::compare(const IEEEFloat &rhs) const { | |||
2025 | cmpResult result; | |||
2026 | ||||
2027 | assert(semantics == rhs.semantics)((semantics == rhs.semantics) ? static_cast<void> (0) : __assert_fail ("semantics == rhs.semantics", "/build/llvm-toolchain-snapshot-11~++20200309111110+2c36c23f347/llvm/lib/Support/APFloat.cpp" , 2027, __PRETTY_FUNCTION__)); | |||
2028 | ||||
2029 | switch (PackCategoriesIntoKey(category, rhs.category)((category) * 4 + (rhs.category))) { | |||
2030 | default: | |||
2031 | llvm_unreachable(nullptr)::llvm::llvm_unreachable_internal(nullptr, "/build/llvm-toolchain-snapshot-11~++20200309111110+2c36c23f347/llvm/lib/Support/APFloat.cpp" , 2031); | |||
2032 | ||||
2033 | case PackCategoriesIntoKey(fcNaN, fcZero)((fcNaN) * 4 + (fcZero)): | |||
2034 | case PackCategoriesIntoKey(fcNaN, fcNormal)((fcNaN) * 4 + (fcNormal)): | |||
2035 | case PackCategoriesIntoKey(fcNaN, fcInfinity)((fcNaN) * 4 + (fcInfinity)): | |||
2036 | case PackCategoriesIntoKey(fcNaN, fcNaN)((fcNaN) * 4 + (fcNaN)): | |||
2037 | case PackCategoriesIntoKey(fcZero, fcNaN)((fcZero) * 4 + (fcNaN)): | |||
2038 | case PackCategoriesIntoKey(fcNormal, fcNaN)((fcNormal) * 4 + (fcNaN)): | |||
2039 | case PackCategoriesIntoKey(fcInfinity, fcNaN)((fcInfinity) * 4 + (fcNaN)): | |||
2040 | return cmpUnordered; | |||
2041 | ||||
2042 | case PackCategoriesIntoKey(fcInfinity, fcNormal)((fcInfinity) * 4 + (fcNormal)): | |||
2043 | case PackCategoriesIntoKey(fcInfinity, fcZero)((fcInfinity) * 4 + (fcZero)): | |||
2044 | case PackCategoriesIntoKey(fcNormal, fcZero)((fcNormal) * 4 + (fcZero)): | |||
2045 | if (sign) | |||
2046 | return cmpLessThan; | |||
2047 | else | |||
2048 | return cmpGreaterThan; | |||
2049 | ||||
2050 | case PackCategoriesIntoKey(fcNormal, fcInfinity)((fcNormal) * 4 + (fcInfinity)): | |||
2051 | case PackCategoriesIntoKey(fcZero, fcInfinity)((fcZero) * 4 + (fcInfinity)): | |||
2052 | case PackCategoriesIntoKey(fcZero, fcNormal)((fcZero) * 4 + (fcNormal)): | |||
2053 | if (rhs.sign) | |||
2054 | return cmpGreaterThan; | |||
2055 | else | |||
2056 | return cmpLessThan; | |||
2057 | ||||
2058 | case PackCategoriesIntoKey(fcInfinity, fcInfinity)((fcInfinity) * 4 + (fcInfinity)): | |||
2059 | if (sign == rhs.sign) | |||
2060 | return cmpEqual; | |||
2061 | else if (sign) | |||
2062 | return cmpLessThan; | |||
2063 | else | |||
2064 | return cmpGreaterThan; | |||
2065 | ||||
2066 | case PackCategoriesIntoKey(fcZero, fcZero)((fcZero) * 4 + (fcZero)): | |||
2067 | return cmpEqual; | |||
2068 | ||||
2069 | case PackCategoriesIntoKey(fcNormal, fcNormal)((fcNormal) * 4 + (fcNormal)): | |||
2070 | break; | |||
2071 | } | |||
2072 | ||||
2073 | /* Two normal numbers. Do they have the same sign? */ | |||
2074 | if (sign != rhs.sign) { | |||
2075 | if (sign) | |||
2076 | result = cmpLessThan; | |||
2077 | else | |||
2078 | result = cmpGreaterThan; | |||
2079 | } else { | |||
2080 | /* Compare absolute values; invert result if negative. */ | |||
2081 | result = compareAbsoluteValue(rhs); | |||
2082 | ||||
2083 | if (sign) { | |||
2084 | if (result == cmpLessThan) | |||
2085 | result = cmpGreaterThan; | |||
2086 | else if (result == cmpGreaterThan) | |||
2087 | result = cmpLessThan; | |||
2088 | } | |||
2089 | } | |||
2090 | ||||
2091 | return result; | |||
2092 | } | |||
2093 | ||||
2094 | /// IEEEFloat::convert - convert a value of one floating point type to another. | |||
2095 | /// The return value corresponds to the IEEE754 exceptions. *losesInfo | |||
2096 | /// records whether the transformation lost information, i.e. whether | |||
2097 | /// converting the result back to the original type will produce the | |||
2098 | /// original value (this is almost the same as return value==fsOK, but there | |||
2099 | /// are edge cases where this is not so). | |||
2100 | ||||
2101 | IEEEFloat::opStatus IEEEFloat::convert(const fltSemantics &toSemantics, | |||
2102 | roundingMode rounding_mode, | |||
2103 | bool *losesInfo) { | |||
2104 | lostFraction lostFraction; | |||
2105 | unsigned int newPartCount, oldPartCount; | |||
2106 | opStatus fs; | |||
2107 | int shift; | |||
2108 | const fltSemantics &fromSemantics = *semantics; | |||
2109 | ||||
2110 | lostFraction = lfExactlyZero; | |||
2111 | newPartCount = partCountForBits(toSemantics.precision + 1); | |||
2112 | oldPartCount = partCount(); | |||
2113 | shift = toSemantics.precision - fromSemantics.precision; | |||
2114 | ||||
2115 | bool X86SpecialNan = false; | |||
2116 | if (&fromSemantics == &semX87DoubleExtended && | |||
2117 | &toSemantics != &semX87DoubleExtended && category == fcNaN && | |||
2118 | (!(*significandParts() & 0x8000000000000000ULL) || | |||
2119 | !(*significandParts() & 0x4000000000000000ULL))) { | |||
2120 | // x86 has some unusual NaNs which cannot be represented in any other | |||
2121 | // format; note them here. | |||
2122 | X86SpecialNan = true; | |||
2123 | } | |||
2124 | ||||
2125 | // If this is a truncation of a denormal number, and the target semantics | |||
2126 | // has larger exponent range than the source semantics (this can happen | |||
2127 | // when truncating from PowerPC double-double to double format), the | |||
2128 | // right shift could lose result mantissa bits. Adjust exponent instead | |||
2129 | // of performing excessive shift. | |||
2130 | if (shift < 0 && isFiniteNonZero()) { | |||
2131 | int exponentChange = significandMSB() + 1 - fromSemantics.precision; | |||
2132 | if (exponent + exponentChange < toSemantics.minExponent) | |||
2133 | exponentChange = toSemantics.minExponent - exponent; | |||
2134 | if (exponentChange < shift) | |||
2135 | exponentChange = shift; | |||
2136 | if (exponentChange < 0) { | |||
2137 | shift -= exponentChange; | |||
2138 | exponent += exponentChange; | |||
2139 | } | |||
2140 | } | |||
2141 | ||||
2142 | // If this is a truncation, perform the shift before we narrow the storage. | |||
2143 | if (shift < 0 && (isFiniteNonZero() || category==fcNaN)) | |||
2144 | lostFraction = shiftRight(significandParts(), oldPartCount, -shift); | |||
2145 | ||||
2146 | // Fix the storage so it can hold to new value. | |||
2147 | if (newPartCount > oldPartCount) { | |||
2148 | // The new type requires more storage; make it available. | |||
2149 | integerPart *newParts; | |||
2150 | newParts = new integerPart[newPartCount]; | |||
2151 | APInt::tcSet(newParts, 0, newPartCount); | |||
2152 | if (isFiniteNonZero() || category==fcNaN) | |||
2153 | APInt::tcAssign(newParts, significandParts(), oldPartCount); | |||
2154 | freeSignificand(); | |||
2155 | significand.parts = newParts; | |||
2156 | } else if (newPartCount == 1 && oldPartCount != 1) { | |||
2157 | // Switch to built-in storage for a single part. | |||
2158 | integerPart newPart = 0; | |||
2159 | if (isFiniteNonZero() || category==fcNaN) | |||
2160 | newPart = significandParts()[0]; | |||
2161 | freeSignificand(); | |||
2162 | significand.part = newPart; | |||
2163 | } | |||
2164 | ||||
2165 | // Now that we have the right storage, switch the semantics. | |||
2166 | semantics = &toSemantics; | |||
2167 | ||||
2168 | // If this is an extension, perform the shift now that the storage is | |||
2169 | // available. | |||
2170 | if (shift > 0 && (isFiniteNonZero() || category==fcNaN)) | |||
2171 | APInt::tcShiftLeft(significandParts(), newPartCount, shift); | |||
2172 | ||||
2173 | if (isFiniteNonZero()) { | |||
2174 | fs = normalize(rounding_mode, lostFraction); | |||
2175 | *losesInfo = (fs != opOK); | |||
2176 | } else if (category == fcNaN) { | |||
2177 | *losesInfo = lostFraction != lfExactlyZero || X86SpecialNan; | |||
2178 | ||||
2179 | // For x87 extended precision, we want to make a NaN, not a special NaN if | |||
2180 | // the input wasn't special either. | |||
2181 | if (!X86SpecialNan && semantics == &semX87DoubleExtended) | |||
2182 | APInt::tcSetBit(significandParts(), semantics->precision - 1); | |||
2183 | ||||
2184 | // gcc forces the Quiet bit on, which means (float)(double)(float_sNan) | |||
2185 | // does not give you back the same bits. This is dubious, and we | |||
2186 | // don't currently do it. You're really supposed to get | |||
2187 | // an invalid operation signal at runtime, but nobody does that. | |||
2188 | fs = opOK; | |||
2189 | } else { | |||
2190 | *losesInfo = false; | |||
2191 | fs = opOK; | |||
2192 | } | |||
2193 | ||||
2194 | return fs; | |||
2195 | } | |||
2196 | ||||
2197 | /* Convert a floating point number to an integer according to the | |||
2198 | rounding mode. If the rounded integer value is out of range this | |||
2199 | returns an invalid operation exception and the contents of the | |||
2200 | destination parts are unspecified. If the rounded value is in | |||
2201 | range but the floating point number is not the exact integer, the C | |||
2202 | standard doesn't require an inexact exception to be raised. IEEE | |||
2203 | 854 does require it so we do that. | |||
2204 | ||||
2205 | Note that for conversions to integer type the C standard requires | |||
2206 | round-to-zero to always be used. */ | |||
2207 | IEEEFloat::opStatus IEEEFloat::convertToSignExtendedInteger( | |||
2208 | MutableArrayRef<integerPart> parts, unsigned int width, bool isSigned, | |||
2209 | roundingMode rounding_mode, bool *isExact) const { | |||
2210 | lostFraction lost_fraction; | |||
2211 | const integerPart *src; | |||
2212 | unsigned int dstPartsCount, truncatedBits; | |||
2213 | ||||
2214 | *isExact = false; | |||
2215 | ||||
2216 | /* Handle the three special cases first. */ | |||
2217 | if (category == fcInfinity || category == fcNaN) | |||
2218 | return opInvalidOp; | |||
2219 | ||||
2220 | dstPartsCount = partCountForBits(width); | |||
2221 | assert(dstPartsCount <= parts.size() && "Integer too big")((dstPartsCount <= parts.size() && "Integer too big" ) ? static_cast<void> (0) : __assert_fail ("dstPartsCount <= parts.size() && \"Integer too big\"" , "/build/llvm-toolchain-snapshot-11~++20200309111110+2c36c23f347/llvm/lib/Support/APFloat.cpp" , 2221, __PRETTY_FUNCTION__)); | |||
2222 | ||||
2223 | if (category == fcZero) { | |||
2224 | APInt::tcSet(parts.data(), 0, dstPartsCount); | |||
2225 | // Negative zero can't be represented as an int. | |||
2226 | *isExact = !sign; | |||
2227 | return opOK; | |||
2228 | } | |||
2229 | ||||
2230 | src = significandParts(); | |||
2231 | ||||
2232 | /* Step 1: place our absolute value, with any fraction truncated, in | |||
2233 | the destination. */ | |||
2234 | if (exponent < 0) { | |||
2235 | /* Our absolute value is less than one; truncate everything. */ | |||
2236 | APInt::tcSet(parts.data(), 0, dstPartsCount); | |||
2237 | /* For exponent -1 the integer bit represents .5, look at that. | |||
2238 | For smaller exponents leftmost truncated bit is 0. */ | |||
2239 | truncatedBits = semantics->precision -1U - exponent; | |||
2240 | } else { | |||
2241 | /* We want the most significant (exponent + 1) bits; the rest are | |||
2242 | truncated. */ | |||
2243 | unsigned int bits = exponent + 1U; | |||
2244 | ||||
2245 | /* Hopelessly large in magnitude? */ | |||
2246 | if (bits > width) | |||
2247 | return opInvalidOp; | |||
2248 | ||||
2249 | if (bits < semantics->precision) { | |||
2250 | /* We truncate (semantics->precision - bits) bits. */ | |||
2251 | truncatedBits = semantics->precision - bits; | |||
2252 | APInt::tcExtract(parts.data(), dstPartsCount, src, bits, truncatedBits); | |||
2253 | } else { | |||
2254 | /* We want at least as many bits as are available. */ | |||
2255 | APInt::tcExtract(parts.data(), dstPartsCount, src, semantics->precision, | |||
2256 | 0); | |||
2257 | APInt::tcShiftLeft(parts.data(), dstPartsCount, | |||
2258 | bits - semantics->precision); | |||
2259 | truncatedBits = 0; | |||
2260 | } | |||
2261 | } | |||
2262 | ||||
2263 | /* Step 2: work out any lost fraction, and increment the absolute | |||
2264 | value if we would round away from zero. */ | |||
2265 | if (truncatedBits) { | |||
2266 | lost_fraction = lostFractionThroughTruncation(src, partCount(), | |||
2267 | truncatedBits); | |||
2268 | if (lost_fraction != lfExactlyZero && | |||
2269 | roundAwayFromZero(rounding_mode, lost_fraction, truncatedBits)) { | |||
2270 | if (APInt::tcIncrement(parts.data(), dstPartsCount)) | |||
2271 | return opInvalidOp; /* Overflow. */ | |||
2272 | } | |||
2273 | } else { | |||
2274 | lost_fraction = lfExactlyZero; | |||
2275 | } | |||
2276 | ||||
2277 | /* Step 3: check if we fit in the destination. */ | |||
2278 | unsigned int omsb = APInt::tcMSB(parts.data(), dstPartsCount) + 1; | |||
2279 | ||||
2280 | if (sign) { | |||
2281 | if (!isSigned) { | |||
2282 | /* Negative numbers cannot be represented as unsigned. */ | |||
2283 | if (omsb != 0) | |||
2284 | return opInvalidOp; | |||
2285 | } else { | |||
2286 | /* It takes omsb bits to represent the unsigned integer value. | |||
2287 | We lose a bit for the sign, but care is needed as the | |||
2288 | maximally negative integer is a special case. */ | |||
2289 | if (omsb == width && | |||
2290 | APInt::tcLSB(parts.data(), dstPartsCount) + 1 != omsb) | |||
2291 | return opInvalidOp; | |||
2292 | ||||
2293 | /* This case can happen because of rounding. */ | |||
2294 | if (omsb > width) | |||
2295 | return opInvalidOp; | |||
2296 | } | |||
2297 | ||||
2298 | APInt::tcNegate (parts.data(), dstPartsCount); | |||
2299 | } else { | |||
2300 | if (omsb >= width + !isSigned) | |||
2301 | return opInvalidOp; | |||
2302 | } | |||
2303 | ||||
2304 | if (lost_fraction == lfExactlyZero) { | |||
2305 | *isExact = true; | |||
2306 | return opOK; | |||
2307 | } else | |||
2308 | return opInexact; | |||
2309 | } | |||
2310 | ||||
2311 | /* Same as convertToSignExtendedInteger, except we provide | |||
2312 | deterministic values in case of an invalid operation exception, | |||
2313 | namely zero for NaNs and the minimal or maximal value respectively | |||
2314 | for underflow or overflow. | |||
2315 | The *isExact output tells whether the result is exact, in the sense | |||
2316 | that converting it back to the original floating point type produces | |||
2317 | the original value. This is almost equivalent to result==opOK, | |||
2318 | except for negative zeroes. | |||
2319 | */ | |||
2320 | IEEEFloat::opStatus | |||
2321 | IEEEFloat::convertToInteger(MutableArrayRef<integerPart> parts, | |||
2322 | unsigned int width, bool isSigned, | |||
2323 | roundingMode rounding_mode, bool *isExact) const { | |||
2324 | opStatus fs; | |||
2325 | ||||
2326 | fs = convertToSignExtendedInteger(parts, width, isSigned, rounding_mode, | |||
2327 | isExact); | |||
2328 | ||||
2329 | if (fs == opInvalidOp) { | |||
2330 | unsigned int bits, dstPartsCount; | |||
2331 | ||||
2332 | dstPartsCount = partCountForBits(width); | |||
2333 | assert(dstPartsCount <= parts.size() && "Integer too big")((dstPartsCount <= parts.size() && "Integer too big" ) ? static_cast<void> (0) : __assert_fail ("dstPartsCount <= parts.size() && \"Integer too big\"" , "/build/llvm-toolchain-snapshot-11~++20200309111110+2c36c23f347/llvm/lib/Support/APFloat.cpp" , 2333, __PRETTY_FUNCTION__)); | |||
2334 | ||||
2335 | if (category == fcNaN) | |||
2336 | bits = 0; | |||
2337 | else if (sign) | |||
2338 | bits = isSigned; | |||
2339 | else | |||
2340 | bits = width - isSigned; | |||
2341 | ||||
2342 | APInt::tcSetLeastSignificantBits(parts.data(), dstPartsCount, bits); | |||
2343 | if (sign && isSigned) | |||
2344 | APInt::tcShiftLeft(parts.data(), dstPartsCount, width - 1); | |||
2345 | } | |||
2346 | ||||
2347 | return fs; | |||
2348 | } | |||
2349 | ||||
2350 | /* Convert an unsigned integer SRC to a floating point number, | |||
2351 | rounding according to ROUNDING_MODE. The sign of the floating | |||
2352 | point number is not modified. */ | |||
2353 | IEEEFloat::opStatus IEEEFloat::convertFromUnsignedParts( | |||
2354 | const integerPart *src, unsigned int srcCount, roundingMode rounding_mode) { | |||
2355 | unsigned int omsb, precision, dstCount; | |||
2356 | integerPart *dst; | |||
2357 | lostFraction lost_fraction; | |||
2358 | ||||
2359 | category = fcNormal; | |||
2360 | omsb = APInt::tcMSB(src, srcCount) + 1; | |||
2361 | dst = significandParts(); | |||
2362 | dstCount = partCount(); | |||
2363 | precision = semantics->precision; | |||
2364 | ||||
2365 | /* We want the most significant PRECISION bits of SRC. There may not | |||
2366 | be that many; extract what we can. */ | |||
2367 | if (precision <= omsb) { | |||
2368 | exponent = omsb - 1; | |||
2369 | lost_fraction = lostFractionThroughTruncation(src, srcCount, | |||
2370 | omsb - precision); | |||
2371 | APInt::tcExtract(dst, dstCount, src, precision, omsb - precision); | |||
2372 | } else { | |||
2373 | exponent = precision - 1; | |||
2374 | lost_fraction = lfExactlyZero; | |||
2375 | APInt::tcExtract(dst, dstCount, src, omsb, 0); | |||
2376 | } | |||
2377 | ||||
2378 | return normalize(rounding_mode, lost_fraction); | |||
2379 | } | |||
2380 | ||||
2381 | IEEEFloat::opStatus IEEEFloat::convertFromAPInt(const APInt &Val, bool isSigned, | |||
2382 | roundingMode rounding_mode) { | |||
2383 | unsigned int partCount = Val.getNumWords(); | |||
2384 | APInt api = Val; | |||
2385 | ||||
2386 | sign = false; | |||
2387 | if (isSigned && api.isNegative()) { | |||
2388 | sign = true; | |||
2389 | api = -api; | |||
2390 | } | |||
2391 | ||||
2392 | return convertFromUnsignedParts(api.getRawData(), partCount, rounding_mode); | |||
2393 | } | |||
2394 | ||||
2395 | /* Convert a two's complement integer SRC to a floating point number, | |||
2396 | rounding according to ROUNDING_MODE. ISSIGNED is true if the | |||
2397 | integer is signed, in which case it must be sign-extended. */ | |||
2398 | IEEEFloat::opStatus | |||
2399 | IEEEFloat::convertFromSignExtendedInteger(const integerPart *src, | |||
2400 | unsigned int srcCount, bool isSigned, | |||
2401 | roundingMode rounding_mode) { | |||
2402 | opStatus status; | |||
2403 | ||||
2404 | if (isSigned && | |||
2405 | APInt::tcExtractBit(src, srcCount * integerPartWidth - 1)) { | |||
2406 | integerPart *copy; | |||
2407 | ||||
2408 | /* If we're signed and negative negate a copy. */ | |||
2409 | sign = true; | |||
2410 | copy = new integerPart[srcCount]; | |||
2411 | APInt::tcAssign(copy, src, srcCount); | |||
2412 | APInt::tcNegate(copy, srcCount); | |||
2413 | status = convertFromUnsignedParts(copy, srcCount, rounding_mode); | |||
2414 | delete [] copy; | |||
2415 | } else { | |||
2416 | sign = false; | |||
2417 | status = convertFromUnsignedParts(src, srcCount, rounding_mode); | |||
2418 | } | |||
2419 | ||||
2420 | return status; | |||
2421 | } | |||
2422 | ||||
2423 | /* FIXME: should this just take a const APInt reference? */ | |||
2424 | IEEEFloat::opStatus | |||
2425 | IEEEFloat::convertFromZeroExtendedInteger(const integerPart *parts, | |||
2426 | unsigned int width, bool isSigned, | |||
2427 | roundingMode rounding_mode) { | |||
2428 | unsigned int partCount = partCountForBits(width); | |||
2429 | APInt api = APInt(width, makeArrayRef(parts, partCount)); | |||
2430 | ||||
2431 | sign = false; | |||
2432 | if (isSigned && APInt::tcExtractBit(parts, width - 1)) { | |||
2433 | sign = true; | |||
2434 | api = -api; | |||
2435 | } | |||
2436 | ||||
2437 | return convertFromUnsignedParts(api.getRawData(), partCount, rounding_mode); | |||
2438 | } | |||
2439 | ||||
2440 | Expected<IEEEFloat::opStatus> | |||
2441 | IEEEFloat::convertFromHexadecimalString(StringRef s, | |||
2442 | roundingMode rounding_mode) { | |||
2443 | lostFraction lost_fraction = lfExactlyZero; | |||
2444 | ||||
2445 | category = fcNormal; | |||
2446 | zeroSignificand(); | |||
2447 | exponent = 0; | |||
2448 | ||||
2449 | integerPart *significand = significandParts(); | |||
2450 | unsigned partsCount = partCount(); | |||
2451 | unsigned bitPos = partsCount * integerPartWidth; | |||
2452 | bool computedTrailingFraction = false; | |||
2453 | ||||
2454 | // Skip leading zeroes and any (hexa)decimal point. | |||
2455 | StringRef::iterator begin = s.begin(); | |||
2456 | StringRef::iterator end = s.end(); | |||
2457 | StringRef::iterator dot; | |||
2458 | auto PtrOrErr = skipLeadingZeroesAndAnyDot(begin, end, &dot); | |||
2459 | if (!PtrOrErr) | |||
2460 | return PtrOrErr.takeError(); | |||
2461 | StringRef::iterator p = *PtrOrErr; | |||
2462 | StringRef::iterator firstSignificantDigit = p; | |||
2463 | ||||
2464 | while (p != end) { | |||
2465 | integerPart hex_value; | |||
2466 | ||||
2467 | if (*p == '.') { | |||
2468 | if (dot != end) | |||
2469 | return createError("String contains multiple dots"); | |||
2470 | dot = p++; | |||
2471 | continue; | |||
2472 | } | |||
2473 | ||||
2474 | hex_value = hexDigitValue(*p); | |||
2475 | if (hex_value == -1U) | |||
2476 | break; | |||
2477 | ||||
2478 | p++; | |||
2479 | ||||
2480 | // Store the number while we have space. | |||
2481 | if (bitPos) { | |||
2482 | bitPos -= 4; | |||
2483 | hex_value <<= bitPos % integerPartWidth; | |||
2484 | significand[bitPos / integerPartWidth] |= hex_value; | |||
2485 | } else if (!computedTrailingFraction) { | |||
2486 | auto FractOrErr = trailingHexadecimalFraction(p, end, hex_value); | |||
2487 | if (!FractOrErr) | |||
2488 | return FractOrErr.takeError(); | |||
2489 | lost_fraction = *FractOrErr; | |||
2490 | computedTrailingFraction = true; | |||
2491 | } | |||
2492 | } | |||
2493 | ||||
2494 | /* Hex floats require an exponent but not a hexadecimal point. */ | |||
2495 | if (p == end) | |||
2496 | return createError("Hex strings require an exponent"); | |||
2497 | if (*p != 'p' && *p != 'P') | |||
2498 | return createError("Invalid character in significand"); | |||
2499 | if (p == begin) | |||
2500 | return createError("Significand has no digits"); | |||
2501 | if (dot != end && p - begin == 1) | |||
2502 | return createError("Significand has no digits"); | |||
2503 | ||||
2504 | /* Ignore the exponent if we are zero. */ | |||
2505 | if (p != firstSignificantDigit) { | |||
2506 | int expAdjustment; | |||
2507 | ||||
2508 | /* Implicit hexadecimal point? */ | |||
2509 | if (dot == end) | |||
2510 | dot = p; | |||
2511 | ||||
2512 | /* Calculate the exponent adjustment implicit in the number of | |||
2513 | significant digits. */ | |||
2514 | expAdjustment = static_cast<int>(dot - firstSignificantDigit); | |||
2515 | if (expAdjustment < 0) | |||
2516 | expAdjustment++; | |||
2517 | expAdjustment = expAdjustment * 4 - 1; | |||
2518 | ||||
2519 | /* Adjust for writing the significand starting at the most | |||
2520 | significant nibble. */ | |||
2521 | expAdjustment += semantics->precision; | |||
2522 | expAdjustment -= partsCount * integerPartWidth; | |||
2523 | ||||
2524 | /* Adjust for the given exponent. */ | |||
2525 | auto ExpOrErr = totalExponent(p + 1, end, expAdjustment); | |||
2526 | if (!ExpOrErr) | |||
2527 | return ExpOrErr.takeError(); | |||
2528 | exponent = *ExpOrErr; | |||
2529 | } | |||
2530 | ||||
2531 | return normalize(rounding_mode, lost_fraction); | |||
2532 | } | |||
2533 | ||||
2534 | IEEEFloat::opStatus | |||
2535 | IEEEFloat::roundSignificandWithExponent(const integerPart *decSigParts, | |||
2536 | unsigned sigPartCount, int exp, | |||
2537 | roundingMode rounding_mode) { | |||
2538 | unsigned int parts, pow5PartCount; | |||
2539 | fltSemantics calcSemantics = { 32767, -32767, 0, 0 }; | |||
2540 | integerPart pow5Parts[maxPowerOfFiveParts]; | |||
2541 | bool isNearest; | |||
2542 | ||||
2543 | isNearest = (rounding_mode == rmNearestTiesToEven || | |||
2544 | rounding_mode == rmNearestTiesToAway); | |||
2545 | ||||
2546 | parts = partCountForBits(semantics->precision + 11); | |||
2547 | ||||
2548 | /* Calculate pow(5, abs(exp)). */ | |||
2549 | pow5PartCount = powerOf5(pow5Parts, exp >= 0 ? exp: -exp); | |||
2550 | ||||
2551 | for (;; parts *= 2) { | |||
2552 | opStatus sigStatus, powStatus; | |||
2553 | unsigned int excessPrecision, truncatedBits; | |||
2554 | ||||
2555 | calcSemantics.precision = parts * integerPartWidth - 1; | |||
2556 | excessPrecision = calcSemantics.precision - semantics->precision; | |||
2557 | truncatedBits = excessPrecision; | |||
2558 | ||||
2559 | IEEEFloat decSig(calcSemantics, uninitialized); | |||
2560 | decSig.makeZero(sign); | |||
2561 | IEEEFloat pow5(calcSemantics); | |||
2562 | ||||
2563 | sigStatus = decSig.convertFromUnsignedParts(decSigParts, sigPartCount, | |||
2564 | rmNearestTiesToEven); | |||
2565 | powStatus = pow5.convertFromUnsignedParts(pow5Parts, pow5PartCount, | |||
2566 | rmNearestTiesToEven); | |||
2567 | /* Add exp, as 10^n = 5^n * 2^n. */ | |||
2568 | decSig.exponent += exp; | |||
2569 | ||||
2570 | lostFraction calcLostFraction; | |||
2571 | integerPart HUerr, HUdistance; | |||
2572 | unsigned int powHUerr; | |||
2573 | ||||
2574 | if (exp >= 0) { | |||
2575 | /* multiplySignificand leaves the precision-th bit set to 1. */ | |||
2576 | calcLostFraction = decSig.multiplySignificand(pow5); | |||
2577 | powHUerr = powStatus != opOK; | |||
2578 | } else { | |||
2579 | calcLostFraction = decSig.divideSignificand(pow5); | |||
2580 | /* Denormal numbers have less precision. */ | |||
2581 | if (decSig.exponent < semantics->minExponent) { | |||
2582 | excessPrecision += (semantics->minExponent - decSig.exponent); | |||
2583 | truncatedBits = excessPrecision; | |||
2584 | if (excessPrecision > calcSemantics.precision) | |||
2585 | excessPrecision = calcSemantics.precision; | |||
2586 | } | |||
2587 | /* Extra half-ulp lost in reciprocal of exponent. */ | |||
2588 | powHUerr = (powStatus == opOK && calcLostFraction == lfExactlyZero) ? 0:2; | |||
2589 | } | |||
2590 | ||||
2591 | /* Both multiplySignificand and divideSignificand return the | |||
2592 | result with the integer bit set. */ | |||
2593 | assert(APInt::tcExtractBit((APInt::tcExtractBit (decSig.significandParts(), calcSemantics .precision - 1) == 1) ? static_cast<void> (0) : __assert_fail ("APInt::tcExtractBit (decSig.significandParts(), calcSemantics.precision - 1) == 1" , "/build/llvm-toolchain-snapshot-11~++20200309111110+2c36c23f347/llvm/lib/Support/APFloat.cpp" , 2594, __PRETTY_FUNCTION__)) | |||
2594 | (decSig.significandParts(), calcSemantics.precision - 1) == 1)((APInt::tcExtractBit (decSig.significandParts(), calcSemantics .precision - 1) == 1) ? static_cast<void> (0) : __assert_fail ("APInt::tcExtractBit (decSig.significandParts(), calcSemantics.precision - 1) == 1" , "/build/llvm-toolchain-snapshot-11~++20200309111110+2c36c23f347/llvm/lib/Support/APFloat.cpp" , 2594, __PRETTY_FUNCTION__)); | |||
2595 | ||||
2596 | HUerr = HUerrBound(calcLostFraction != lfExactlyZero, sigStatus != opOK, | |||
2597 | powHUerr); | |||
2598 | HUdistance = 2 * ulpsFromBoundary(decSig.significandParts(), | |||
2599 | excessPrecision, isNearest); | |||
2600 | ||||
2601 | /* Are we guaranteed to round correctly if we truncate? */ | |||
2602 | if (HUdistance >= HUerr) { | |||
2603 | APInt::tcExtract(significandParts(), partCount(), decSig.significandParts(), | |||
2604 | calcSemantics.precision - excessPrecision, | |||
2605 | excessPrecision); | |||
2606 | /* Take the exponent of decSig. If we tcExtract-ed less bits | |||
2607 | above we must adjust our exponent to compensate for the | |||
2608 | implicit right shift. */ | |||
2609 | exponent = (decSig.exponent + semantics->precision | |||
2610 | - (calcSemantics.precision - excessPrecision)); | |||
2611 | calcLostFraction = lostFractionThroughTruncation(decSig.significandParts(), | |||
2612 | decSig.partCount(), | |||
2613 | truncatedBits); | |||
2614 | return normalize(rounding_mode, calcLostFraction); | |||
2615 | } | |||
2616 | } | |||
2617 | } | |||
2618 | ||||
2619 | Expected<IEEEFloat::opStatus> | |||
2620 | IEEEFloat::convertFromDecimalString(StringRef str, roundingMode rounding_mode) { | |||
2621 | decimalInfo D; | |||
2622 | opStatus fs; | |||
2623 | ||||
2624 | /* Scan the text. */ | |||
2625 | StringRef::iterator p = str.begin(); | |||
2626 | if (Error Err = interpretDecimal(p, str.end(), &D)) | |||
2627 | return std::move(Err); | |||
2628 | ||||
2629 | /* Handle the quick cases. First the case of no significant digits, | |||
2630 | i.e. zero, and then exponents that are obviously too large or too | |||
2631 | small. Writing L for log 10 / log 2, a number d.ddddd*10^exp | |||
2632 | definitely overflows if | |||
2633 | ||||
2634 | (exp - 1) * L >= maxExponent | |||
2635 | ||||
2636 | and definitely underflows to zero where | |||
2637 | ||||
2638 | (exp + 1) * L <= minExponent - precision | |||
2639 | ||||
2640 | With integer arithmetic the tightest bounds for L are | |||
2641 | ||||
2642 | 93/28 < L < 196/59 [ numerator <= 256 ] | |||
2643 | 42039/12655 < L < 28738/8651 [ numerator <= 65536 ] | |||
2644 | */ | |||
2645 | ||||
2646 | // Test if we have a zero number allowing for strings with no null terminators | |||
2647 | // and zero decimals with non-zero exponents. | |||
2648 | // | |||
2649 | // We computed firstSigDigit by ignoring all zeros and dots. Thus if | |||
2650 | // D->firstSigDigit equals str.end(), every digit must be a zero and there can | |||
2651 | // be at most one dot. On the other hand, if we have a zero with a non-zero | |||
2652 | // exponent, then we know that D.firstSigDigit will be non-numeric. | |||
2653 | if (D.firstSigDigit == str.end() || decDigitValue(*D.firstSigDigit) >= 10U) { | |||
2654 | category = fcZero; | |||
2655 | fs = opOK; | |||
2656 | ||||
2657 | /* Check whether the normalized exponent is high enough to overflow | |||
2658 | max during the log-rebasing in the max-exponent check below. */ | |||
2659 | } else if (D.normalizedExponent - 1 > INT_MAX2147483647 / 42039) { | |||
2660 | fs = handleOverflow(rounding_mode); | |||
2661 | ||||
2662 | /* If it wasn't, then it also wasn't high enough to overflow max | |||
2663 | during the log-rebasing in the min-exponent check. Check that it | |||
2664 | won't overflow min in either check, then perform the min-exponent | |||
2665 | check. */ | |||
2666 | } else if (D.normalizedExponent - 1 < INT_MIN(-2147483647 -1) / 42039 || | |||
2667 | (D.normalizedExponent + 1) * 28738 <= | |||
2668 | 8651 * (semantics->minExponent - (int) semantics->precision)) { | |||
2669 | /* Underflow to zero and round. */ | |||
2670 | category = fcNormal; | |||
2671 | zeroSignificand(); | |||
2672 | fs = normalize(rounding_mode, lfLessThanHalf); | |||
2673 | ||||
2674 | /* We can finally safely perform the max-exponent check. */ | |||
2675 | } else if ((D.normalizedExponent - 1) * 42039 | |||
2676 | >= 12655 * semantics->maxExponent) { | |||
2677 | /* Overflow and round. */ | |||
2678 | fs = handleOverflow(rounding_mode); | |||
2679 | } else { | |||
2680 | integerPart *decSignificand; | |||
2681 | unsigned int partCount; | |||
2682 | ||||
2683 | /* A tight upper bound on number of bits required to hold an | |||
2684 | N-digit decimal integer is N * 196 / 59. Allocate enough space | |||
2685 | to hold the full significand, and an extra part required by | |||
2686 | tcMultiplyPart. */ | |||
2687 | partCount = static_cast<unsigned int>(D.lastSigDigit - D.firstSigDigit) + 1; | |||
2688 | partCount = partCountForBits(1 + 196 * partCount / 59); | |||
2689 | decSignificand = new integerPart[partCount + 1]; | |||
2690 | partCount = 0; | |||
2691 | ||||
2692 | /* Convert to binary efficiently - we do almost all multiplication | |||
2693 | in an integerPart. When this would overflow do we do a single | |||
2694 | bignum multiplication, and then revert again to multiplication | |||
2695 | in an integerPart. */ | |||
2696 | do { | |||
2697 | integerPart decValue, val, multiplier; | |||
2698 | ||||
2699 | val = 0; | |||
2700 | multiplier = 1; | |||
2701 | ||||
2702 | do { | |||
2703 | if (*p == '.') { | |||
2704 | p++; | |||
2705 | if (p == str.end()) { | |||
2706 | break; | |||
2707 | } | |||
2708 | } | |||
2709 | decValue = decDigitValue(*p++); | |||
2710 | if (decValue >= 10U) { | |||
2711 | delete[] decSignificand; | |||
2712 | return createError("Invalid character in significand"); | |||
2713 | } | |||
2714 | multiplier *= 10; | |||
2715 | val = val * 10 + decValue; | |||
2716 | /* The maximum number that can be multiplied by ten with any | |||
2717 | digit added without overflowing an integerPart. */ | |||
2718 | } while (p <= D.lastSigDigit && multiplier <= (~ (integerPart) 0 - 9) / 10); | |||
2719 | ||||
2720 | /* Multiply out the current part. */ | |||
2721 | APInt::tcMultiplyPart(decSignificand, decSignificand, multiplier, val, | |||
2722 | partCount, partCount + 1, false); | |||
2723 | ||||
2724 | /* If we used another part (likely but not guaranteed), increase | |||
2725 | the count. */ | |||
2726 | if (decSignificand[partCount]) | |||
2727 | partCount++; | |||
2728 | } while (p <= D.lastSigDigit); | |||
2729 | ||||
2730 | category = fcNormal; | |||
2731 | fs = roundSignificandWithExponent(decSignificand, partCount, | |||
2732 | D.exponent, rounding_mode); | |||
2733 | ||||
2734 | delete [] decSignificand; | |||
2735 | } | |||
2736 | ||||
2737 | return fs; | |||
2738 | } | |||
2739 | ||||
2740 | bool IEEEFloat::convertFromStringSpecials(StringRef str) { | |||
2741 | const size_t MIN_NAME_SIZE = 3; | |||
2742 | ||||
2743 | if (str.size() < MIN_NAME_SIZE) | |||
2744 | return false; | |||
2745 | ||||
2746 | if (str.equals("inf") || str.equals("INFINITY") || str.equals("+Inf")) { | |||
2747 | makeInf(false); | |||
2748 | return true; | |||
2749 | } | |||
2750 | ||||
2751 | bool IsNegative = str.front() == '-'; | |||
2752 | if (IsNegative) { | |||
2753 | str = str.drop_front(); | |||
2754 | if (str.size() < MIN_NAME_SIZE) | |||
2755 | return false; | |||
2756 | ||||
2757 | if (str.equals("inf") || str.equals("INFINITY") || str.equals("Inf")) { | |||
2758 | makeInf(true); | |||
2759 | return true; | |||
2760 | } | |||
2761 | } | |||
2762 | ||||
2763 | // If we have a 's' (or 'S') prefix, then this is a Signaling NaN. | |||
2764 | bool IsSignaling = str.front() == 's' || str.front() == 'S'; | |||
2765 | if (IsSignaling) { | |||
2766 | str = str.drop_front(); | |||
2767 | if (str.size() < MIN_NAME_SIZE) | |||
2768 | return false; | |||
2769 | } | |||
2770 | ||||
2771 | if (str.startswith("nan") || str.startswith("NaN")) { | |||
2772 | str = str.drop_front(3); | |||
2773 | ||||
2774 | // A NaN without payload. | |||
2775 | if (str.empty()) { | |||
2776 | makeNaN(IsSignaling, IsNegative); | |||
2777 | return true; | |||
2778 | } | |||
2779 | ||||
2780 | // Allow the payload to be inside parentheses. | |||
2781 | if (str.front() == '(') { | |||
2782 | // Parentheses should be balanced (and not empty). | |||
2783 | if (str.size() <= 2 || str.back() != ')') | |||
2784 | return false; | |||
2785 | ||||
2786 | str = str.slice(1, str.size() - 1); | |||
2787 | } | |||
2788 | ||||
2789 | // Determine the payload number's radix. | |||
2790 | unsigned Radix = 10; | |||
2791 | if (str[0] == '0') { | |||
2792 | if (str.size() > 1 && tolower(str[1]) == 'x') { | |||
2793 | str = str.drop_front(2); | |||
2794 | Radix = 16; | |||
2795 | } else | |||
2796 | Radix = 8; | |||
2797 | } | |||
2798 | ||||
2799 | // Parse the payload and make the NaN. | |||
2800 | APInt Payload; | |||
2801 | if (!str.getAsInteger(Radix, Payload)) { | |||
2802 | makeNaN(IsSignaling, IsNegative, &Payload); | |||
2803 | return true; | |||
2804 | } | |||
2805 | } | |||
2806 | ||||
2807 | return false; | |||
2808 | } | |||
2809 | ||||
2810 | Expected<IEEEFloat::opStatus> | |||
2811 | IEEEFloat::convertFromString(StringRef str, roundingMode rounding_mode) { | |||
2812 | if (str.empty()) | |||
2813 | return createError("Invalid string length"); | |||
2814 | ||||
2815 | // Handle special cases. | |||
2816 | if (convertFromStringSpecials(str)) | |||
2817 | return opOK; | |||
2818 | ||||
2819 | /* Handle a leading minus sign. */ | |||
2820 | StringRef::iterator p = str.begin(); | |||
2821 | size_t slen = str.size(); | |||
2822 | sign = *p == '-' ? 1 : 0; | |||
2823 | if (*p == '-' || *p == '+') { | |||
2824 | p++; | |||
2825 | slen--; | |||
2826 | if (!slen) | |||
2827 | return createError("String has no digits"); | |||
2828 | } | |||
2829 | ||||
2830 | if (slen >= 2 && p[0] == '0' && (p[1] == 'x' || p[1] == 'X')) { | |||
2831 | if (slen == 2) | |||
2832 | return createError("Invalid string"); | |||
2833 | return convertFromHexadecimalString(StringRef(p + 2, slen - 2), | |||
2834 | rounding_mode); | |||
2835 | } | |||
2836 | ||||
2837 | return convertFromDecimalString(StringRef(p, slen), rounding_mode); | |||
2838 | } | |||
2839 | ||||
2840 | /* Write out a hexadecimal representation of the floating point value | |||
2841 | to DST, which must be of sufficient size, in the C99 form | |||
2842 | [-]0xh.hhhhp[+-]d. Return the number of characters written, | |||
2843 | excluding the terminating NUL. | |||
2844 | ||||
2845 | If UPPERCASE, the output is in upper case, otherwise in lower case. | |||
2846 | ||||
2847 | HEXDIGITS digits appear altogether, rounding the value if | |||
2848 | necessary. If HEXDIGITS is 0, the minimal precision to display the | |||
2849 | number precisely is used instead. If nothing would appear after | |||
2850 | the decimal point it is suppressed. | |||
2851 | ||||
2852 | The decimal exponent is always printed and has at least one digit. | |||
2853 | Zero values display an exponent of zero. Infinities and NaNs | |||
2854 | appear as "infinity" or "nan" respectively. | |||
2855 | ||||
2856 | The above rules are as specified by C99. There is ambiguity about | |||
2857 | what the leading hexadecimal digit should be. This implementation | |||
2858 | uses whatever is necessary so that the exponent is displayed as | |||
2859 | stored. This implies the exponent will fall within the IEEE format | |||
2860 | range, and the leading hexadecimal digit will be 0 (for denormals), | |||
2861 | 1 (normal numbers) or 2 (normal numbers rounded-away-from-zero with | |||
2862 | any other digits zero). | |||
2863 | */ | |||
2864 | unsigned int IEEEFloat::convertToHexString(char *dst, unsigned int hexDigits, | |||
2865 | bool upperCase, | |||
2866 | roundingMode rounding_mode) const { | |||
2867 | char *p; | |||
2868 | ||||
2869 | p = dst; | |||
2870 | if (sign) | |||
2871 | *dst++ = '-'; | |||
2872 | ||||
2873 | switch (category) { | |||
2874 | case fcInfinity: | |||
2875 | memcpy (dst, upperCase ? infinityU: infinityL, sizeof infinityU - 1); | |||
2876 | dst += sizeof infinityL - 1; | |||
2877 | break; | |||
2878 | ||||
2879 | case fcNaN: | |||
2880 | memcpy (dst, upperCase ? NaNU: NaNL, sizeof NaNU - 1); | |||
2881 | dst += sizeof NaNU - 1; | |||
2882 | break; | |||
2883 | ||||
2884 | case fcZero: | |||
2885 | *dst++ = '0'; | |||
2886 | *dst++ = upperCase ? 'X': 'x'; | |||
2887 | *dst++ = '0'; | |||
2888 | if (hexDigits > 1) { | |||
2889 | *dst++ = '.'; | |||
2890 | memset (dst, '0', hexDigits - 1); | |||
2891 | dst += hexDigits - 1; | |||
2892 | } | |||
2893 | *dst++ = upperCase ? 'P': 'p'; | |||
2894 | *dst++ = '0'; | |||
2895 | break; | |||
2896 | ||||
2897 | case fcNormal: | |||
2898 | dst = convertNormalToHexString (dst, hexDigits, upperCase, rounding_mode); | |||
2899 | break; | |||
2900 | } | |||
2901 | ||||
2902 | *dst = 0; | |||
2903 | ||||
2904 | return static_cast<unsigned int>(dst - p); | |||
2905 | } | |||
2906 | ||||
2907 | /* Does the hard work of outputting the correctly rounded hexadecimal | |||
2908 | form of a normal floating point number with the specified number of | |||
2909 | hexadecimal digits. If HEXDIGITS is zero the minimum number of | |||
2910 | digits necessary to print the value precisely is output. */ | |||
2911 | char *IEEEFloat::convertNormalToHexString(char *dst, unsigned int hexDigits, | |||
2912 | bool upperCase, | |||
2913 | roundingMode rounding_mode) const { | |||
2914 | unsigned int count, valueBits, shift, partsCount, outputDigits; | |||
2915 | const char *hexDigitChars; | |||
2916 | const integerPart *significand; | |||
2917 | char *p; | |||
2918 | bool roundUp; | |||
2919 | ||||
2920 | *dst++ = '0'; | |||
2921 | *dst++ = upperCase ? 'X': 'x'; | |||
2922 | ||||
2923 | roundUp = false; | |||
2924 | hexDigitChars = upperCase ? hexDigitsUpper: hexDigitsLower; | |||
2925 | ||||
2926 | significand = significandParts(); | |||
2927 | partsCount = partCount(); | |||
2928 | ||||
2929 | /* +3 because the first digit only uses the single integer bit, so | |||
2930 | we have 3 virtual zero most-significant-bits. */ | |||
2931 | valueBits = semantics->precision + 3; | |||
2932 | shift = integerPartWidth - valueBits % integerPartWidth; | |||
2933 | ||||
2934 | /* The natural number of digits required ignoring trailing | |||
2935 | insignificant zeroes. */ | |||
2936 | outputDigits = (valueBits - significandLSB () + 3) / 4; | |||
2937 | ||||
2938 | /* hexDigits of zero means use the required number for the | |||
2939 | precision. Otherwise, see if we are truncating. If we are, | |||
2940 | find out if we need to round away from zero. */ | |||
2941 | if (hexDigits) { | |||
2942 | if (hexDigits < outputDigits) { | |||
2943 | /* We are dropping non-zero bits, so need to check how to round. | |||
2944 | "bits" is the number of dropped bits. */ | |||
2945 | unsigned int bits; | |||
2946 | lostFraction fraction; | |||
2947 | ||||
2948 | bits = valueBits - hexDigits * 4; | |||
2949 | fraction = lostFractionThroughTruncation (significand, partsCount, bits); | |||
2950 | roundUp = roundAwayFromZero(rounding_mode, fraction, bits); | |||
2951 | } | |||
2952 | outputDigits = hexDigits; | |||
2953 | } | |||
2954 | ||||
2955 | /* Write the digits consecutively, and start writing in the location | |||
2956 | of the hexadecimal point. We move the most significant digit | |||
2957 | left and add the hexadecimal point later. */ | |||
2958 | p = ++dst; | |||
2959 | ||||
2960 | count = (valueBits + integerPartWidth - 1) / integerPartWidth; | |||
2961 | ||||
2962 | while (outputDigits && count) { | |||
2963 | integerPart part; | |||
2964 | ||||
2965 | /* Put the most significant integerPartWidth bits in "part". */ | |||
2966 | if (--count == partsCount) | |||
2967 | part = 0; /* An imaginary higher zero part. */ | |||
2968 | else | |||
2969 | part = significand[count] << shift; | |||
2970 | ||||
2971 | if (count && shift) | |||
2972 | part |= significand[count - 1] >> (integerPartWidth - shift); | |||
2973 | ||||
2974 | /* Convert as much of "part" to hexdigits as we can. */ | |||
2975 | unsigned int curDigits = integerPartWidth / 4; | |||
2976 | ||||
2977 | if (curDigits > outputDigits) | |||
2978 | curDigits = outputDigits; | |||
2979 | dst += partAsHex (dst, part, curDigits, hexDigitChars); | |||
2980 | outputDigits -= curDigits; | |||
2981 | } | |||
2982 | ||||
2983 | if (roundUp) { | |||
2984 | char *q = dst; | |||
2985 | ||||
2986 | /* Note that hexDigitChars has a trailing '0'. */ | |||
2987 | do { | |||
2988 | q--; | |||
2989 | *q = hexDigitChars[hexDigitValue (*q) + 1]; | |||
2990 | } while (*q == '0'); | |||
2991 | assert(q >= p)((q >= p) ? static_cast<void> (0) : __assert_fail ("q >= p" , "/build/llvm-toolchain-snapshot-11~++20200309111110+2c36c23f347/llvm/lib/Support/APFloat.cpp" , 2991, __PRETTY_FUNCTION__)); | |||
2992 | } else { | |||
2993 | /* Add trailing zeroes. */ | |||
2994 | memset (dst, '0', outputDigits); | |||
2995 | dst += outputDigits; | |||
2996 | } | |||
2997 | ||||
2998 | /* Move the most significant digit to before the point, and if there | |||
2999 | is something after the decimal point add it. This must come | |||
3000 | after rounding above. */ | |||
3001 | p[-1] = p[0]; | |||
3002 | if (dst -1 == p) | |||
3003 | dst--; | |||
3004 | else | |||
3005 | p[0] = '.'; | |||
3006 | ||||
3007 | /* Finally output the exponent. */ | |||
3008 | *dst++ = upperCase ? 'P': 'p'; | |||
3009 | ||||
3010 | return writeSignedDecimal (dst, exponent); | |||
3011 | } | |||
3012 | ||||
3013 | hash_code hash_value(const IEEEFloat &Arg) { | |||
3014 | if (!Arg.isFiniteNonZero()) | |||
3015 | return hash_combine((uint8_t)Arg.category, | |||
3016 | // NaN has no sign, fix it at zero. | |||
3017 | Arg.isNaN() ? (uint8_t)0 : (uint8_t)Arg.sign, | |||
3018 | Arg.semantics->precision); | |||
3019 | ||||
3020 | // Normal floats need their exponent and significand hashed. | |||
3021 | return hash_combine((uint8_t)Arg.category, (uint8_t)Arg.sign, | |||
3022 | Arg.semantics->precision, Arg.exponent, | |||
3023 | hash_combine_range( | |||
3024 | Arg.significandParts(), | |||
3025 | Arg.significandParts() + Arg.partCount())); | |||
3026 | } | |||
3027 | ||||
3028 | // Conversion from APFloat to/from host float/double. It may eventually be | |||
3029 | // possible to eliminate these and have everybody deal with APFloats, but that | |||
3030 | // will take a while. This approach will not easily extend to long double. | |||
3031 | // Current implementation requires integerPartWidth==64, which is correct at | |||
3032 | // the moment but could be made more general. | |||
3033 | ||||
3034 | // Denormals have exponent minExponent in APFloat, but minExponent-1 in | |||
3035 | // the actual IEEE respresentations. We compensate for that here. | |||
3036 | ||||
3037 | APInt IEEEFloat::convertF80LongDoubleAPFloatToAPInt() const { | |||
3038 | assert(semantics == (const llvm::fltSemantics*)&semX87DoubleExtended)((semantics == (const llvm::fltSemantics*)&semX87DoubleExtended ) ? static_cast<void> (0) : __assert_fail ("semantics == (const llvm::fltSemantics*)&semX87DoubleExtended" , "/build/llvm-toolchain-snapshot-11~++20200309111110+2c36c23f347/llvm/lib/Support/APFloat.cpp" , 3038, __PRETTY_FUNCTION__)); | |||
3039 | assert(partCount()==2)((partCount()==2) ? static_cast<void> (0) : __assert_fail ("partCount()==2", "/build/llvm-toolchain-snapshot-11~++20200309111110+2c36c23f347/llvm/lib/Support/APFloat.cpp" , 3039, __PRETTY_FUNCTION__)); | |||
3040 | ||||
3041 | uint64_t myexponent, mysignificand; | |||
3042 | ||||
3043 | if (isFiniteNonZero()) { | |||
3044 | myexponent = exponent+16383; //bias | |||
3045 | mysignificand = significandParts()[0]; | |||
3046 | if (myexponent==1 && !(mysignificand & 0x8000000000000000ULL)) | |||
3047 | myexponent = 0; // denormal | |||
3048 | } else if (category==fcZero) { | |||
3049 | myexponent = 0; | |||
3050 | mysignificand = 0; | |||
3051 | } else if (category==fcInfinity) { | |||
3052 | myexponent = 0x7fff; | |||
3053 | mysignificand = 0x8000000000000000ULL; | |||
3054 | } else { | |||
3055 | assert(category == fcNaN && "Unknown category")((category == fcNaN && "Unknown category") ? static_cast <void> (0) : __assert_fail ("category == fcNaN && \"Unknown category\"" , "/build/llvm-toolchain-snapshot-11~++20200309111110+2c36c23f347/llvm/lib/Support/APFloat.cpp" , 3055, __PRETTY_FUNCTION__)); | |||
3056 | myexponent = 0x7fff; | |||
3057 | mysignificand = significandParts()[0]; | |||
3058 | } | |||
3059 | ||||
3060 | uint64_t words[2]; | |||
3061 | words[0] = mysignificand; | |||
3062 | words[1] = ((uint64_t)(sign & 1) << 15) | | |||
3063 | (myexponent & 0x7fffLL); | |||
3064 | return APInt(80, words); | |||
3065 | } | |||
3066 | ||||
3067 | APInt IEEEFloat::convertPPCDoubleDoubleAPFloatToAPInt() const { | |||
3068 | assert(semantics == (const llvm::fltSemantics *)&semPPCDoubleDoubleLegacy)((semantics == (const llvm::fltSemantics *)&semPPCDoubleDoubleLegacy ) ? static_cast<void> (0) : __assert_fail ("semantics == (const llvm::fltSemantics *)&semPPCDoubleDoubleLegacy" , "/build/llvm-toolchain-snapshot-11~++20200309111110+2c36c23f347/llvm/lib/Support/APFloat.cpp" , 3068, __PRETTY_FUNCTION__)); | |||
3069 | assert(partCount()==2)((partCount()==2) ? static_cast<void> (0) : __assert_fail ("partCount()==2", "/build/llvm-toolchain-snapshot-11~++20200309111110+2c36c23f347/llvm/lib/Support/APFloat.cpp" , 3069, __PRETTY_FUNCTION__)); | |||
3070 | ||||
3071 | uint64_t words[2]; | |||
3072 | opStatus fs; | |||
3073 | bool losesInfo; | |||
3074 | ||||
3075 | // Convert number to double. To avoid spurious underflows, we re- | |||
3076 | // normalize against the "double" minExponent first, and only *then* | |||
3077 | // truncate the mantissa. The result of that second conversion | |||
3078 | // may be inexact, but should never underflow. | |||
3079 | // Declare fltSemantics before APFloat that uses it (and | |||
3080 | // saves pointer to it) to ensure correct destruction order. | |||
3081 | fltSemantics extendedSemantics = *semantics; | |||
3082 | extendedSemantics.minExponent = semIEEEdouble.minExponent; | |||
3083 | IEEEFloat extended(*this); | |||
3084 | fs = extended.convert(extendedSemantics, rmNearestTiesToEven, &losesInfo); | |||
3085 | assert(fs == opOK && !losesInfo)((fs == opOK && !losesInfo) ? static_cast<void> (0) : __assert_fail ("fs == opOK && !losesInfo", "/build/llvm-toolchain-snapshot-11~++20200309111110+2c36c23f347/llvm/lib/Support/APFloat.cpp" , 3085, __PRETTY_FUNCTION__)); | |||
3086 | (void)fs; | |||
3087 | ||||
3088 | IEEEFloat u(extended); | |||
3089 | fs = u.convert(semIEEEdouble, rmNearestTiesToEven, &losesInfo); | |||
3090 | assert(fs == opOK || fs == opInexact)((fs == opOK || fs == opInexact) ? static_cast<void> (0 ) : __assert_fail ("fs == opOK || fs == opInexact", "/build/llvm-toolchain-snapshot-11~++20200309111110+2c36c23f347/llvm/lib/Support/APFloat.cpp" , 3090, __PRETTY_FUNCTION__)); | |||
3091 | (void)fs; | |||
3092 | words[0] = *u.convertDoubleAPFloatToAPInt().getRawData(); | |||
3093 | ||||
3094 | // If conversion was exact or resulted in a special case, we're done; | |||
3095 | // just set the second double to zero. Otherwise, re-convert back to | |||
3096 | // the extended format and compute the difference. This now should | |||
3097 | // convert exactly to double. | |||
3098 | if (u.isFiniteNonZero() && losesInfo) { | |||
3099 | fs = u.convert(extendedSemantics, rmNearestTiesToEven, &losesInfo); | |||
3100 | assert(fs == opOK && !losesInfo)((fs == opOK && !losesInfo) ? static_cast<void> (0) : __assert_fail ("fs == opOK && !losesInfo", "/build/llvm-toolchain-snapshot-11~++20200309111110+2c36c23f347/llvm/lib/Support/APFloat.cpp" , 3100, __PRETTY_FUNCTION__)); | |||
3101 | (void)fs; | |||
3102 | ||||
3103 | IEEEFloat v(extended); | |||
3104 | v.subtract(u, rmNearestTiesToEven); | |||
3105 | fs = v.convert(semIEEEdouble, rmNearestTiesToEven, &losesInfo); | |||
3106 | assert(fs == opOK && !losesInfo)((fs == opOK && !losesInfo) ? static_cast<void> (0) : __assert_fail ("fs == opOK && !losesInfo", "/build/llvm-toolchain-snapshot-11~++20200309111110+2c36c23f347/llvm/lib/Support/APFloat.cpp" , 3106, __PRETTY_FUNCTION__)); | |||
3107 | (void)fs; | |||
3108 | words[1] = *v.convertDoubleAPFloatToAPInt().getRawData(); | |||
3109 | } else { | |||
3110 | words[1] = 0; | |||
3111 | } | |||
3112 | ||||
3113 | return APInt(128, words); | |||
3114 | } | |||
3115 | ||||
3116 | APInt IEEEFloat::convertQuadrupleAPFloatToAPInt() const { | |||
3117 | assert(semantics == (const llvm::fltSemantics*)&semIEEEquad)((semantics == (const llvm::fltSemantics*)&semIEEEquad) ? static_cast<void> (0) : __assert_fail ("semantics == (const llvm::fltSemantics*)&semIEEEquad" , "/build/llvm-toolchain-snapshot-11~++20200309111110+2c36c23f347/llvm/lib/Support/APFloat.cpp" , 3117, __PRETTY_FUNCTION__)); | |||
3118 | assert(partCount()==2)((partCount()==2) ? static_cast<void> (0) : __assert_fail ("partCount()==2", "/build/llvm-toolchain-snapshot-11~++20200309111110+2c36c23f347/llvm/lib/Support/APFloat.cpp" , 3118, __PRETTY_FUNCTION__)); | |||
3119 | ||||
3120 | uint64_t myexponent, mysignificand, mysignificand2; | |||
3121 | ||||
3122 | if (isFiniteNonZero()) { | |||
3123 | myexponent = exponent+16383; //bias | |||
3124 | mysignificand = significandParts()[0]; | |||
3125 | mysignificand2 = significandParts()[1]; | |||
3126 | if (myexponent==1 && !(mysignificand2 & 0x1000000000000LL)) | |||
3127 | myexponent = 0; // denormal | |||
3128 | } else if (category==fcZero) { | |||
3129 | myexponent = 0; | |||
3130 | mysignificand = mysignificand2 = 0; | |||
3131 | } else if (category==fcInfinity) { | |||
3132 | myexponent = 0x7fff; | |||
3133 | mysignificand = mysignificand2 = 0; | |||
3134 | } else { | |||
3135 | assert(category == fcNaN && "Unknown category!")((category == fcNaN && "Unknown category!") ? static_cast <void> (0) : __assert_fail ("category == fcNaN && \"Unknown category!\"" , "/build/llvm-toolchain-snapshot-11~++20200309111110+2c36c23f347/llvm/lib/Support/APFloat.cpp" , 3135, __PRETTY_FUNCTION__)); | |||
3136 | myexponent = 0x7fff; | |||
3137 | mysignificand = significandParts()[0]; | |||
3138 | mysignificand2 = significandParts()[1]; | |||
3139 | } | |||
3140 | ||||
3141 | uint64_t words[2]; | |||
3142 | words[0] = mysignificand; | |||
3143 | words[1] = ((uint64_t)(sign & 1) << 63) | | |||
3144 | ((myexponent & 0x7fff) << 48) | | |||
3145 | (mysignificand2 & 0xffffffffffffLL); | |||
3146 | ||||
3147 | return APInt(128, words); | |||
3148 | } | |||
3149 | ||||
3150 | APInt IEEEFloat::convertDoubleAPFloatToAPInt() const { | |||
3151 | assert(semantics == (const llvm::fltSemantics*)&semIEEEdouble)((semantics == (const llvm::fltSemantics*)&semIEEEdouble) ? static_cast<void> (0) : __assert_fail ("semantics == (const llvm::fltSemantics*)&semIEEEdouble" , "/build/llvm-toolchain-snapshot-11~++20200309111110+2c36c23f347/llvm/lib/Support/APFloat.cpp" , 3151, __PRETTY_FUNCTION__)); | |||
3152 | assert(partCount()==1)((partCount()==1) ? static_cast<void> (0) : __assert_fail ("partCount()==1", "/build/llvm-toolchain-snapshot-11~++20200309111110+2c36c23f347/llvm/lib/Support/APFloat.cpp" , 3152, __PRETTY_FUNCTION__)); | |||
3153 | ||||
3154 | uint64_t myexponent, mysignificand; | |||
3155 | ||||
3156 | if (isFiniteNonZero()) { | |||
3157 | myexponent = exponent+1023; //bias | |||
3158 | mysignificand = *significandParts(); | |||
| ||||
3159 | if (myexponent==1 && !(mysignificand & 0x10000000000000LL)) | |||
3160 | myexponent = 0; // denormal | |||
3161 | } else if (category==fcZero) { | |||
3162 | myexponent = 0; | |||
3163 | mysignificand = 0; | |||
3164 | } else if (category==fcInfinity) { | |||
3165 | myexponent = 0x7ff; | |||
3166 | mysignificand = 0; | |||
3167 | } else { | |||
3168 | assert(category == fcNaN && "Unknown category!")((category == fcNaN && "Unknown category!") ? static_cast <void> (0) : __assert_fail ("category == fcNaN && \"Unknown category!\"" , "/build/llvm-toolchain-snapshot-11~++20200309111110+2c36c23f347/llvm/lib/Support/APFloat.cpp" , 3168, __PRETTY_FUNCTION__)); | |||
3169 | myexponent = 0x7ff; | |||
3170 | mysignificand = *significandParts(); | |||
3171 | } | |||
3172 | ||||
3173 | return APInt(64, ((((uint64_t)(sign & 1) << 63) | | |||
3174 | ((myexponent & 0x7ff) << 52) | | |||
3175 | (mysignificand & 0xfffffffffffffLL)))); | |||
3176 | } | |||
3177 | ||||
3178 | APInt IEEEFloat::convertFloatAPFloatToAPInt() const { | |||
3179 | assert(semantics == (const llvm::fltSemantics*)&semIEEEsingle)((semantics == (const llvm::fltSemantics*)&semIEEEsingle) ? static_cast<void> (0) : __assert_fail ("semantics == (const llvm::fltSemantics*)&semIEEEsingle" , "/build/llvm-toolchain-snapshot-11~++20200309111110+2c36c23f347/llvm/lib/Support/APFloat.cpp" , 3179, __PRETTY_FUNCTION__)); | |||
3180 | assert(partCount()==1)((partCount()==1) ? static_cast<void> (0) : __assert_fail ("partCount()==1", "/build/llvm-toolchain-snapshot-11~++20200309111110+2c36c23f347/llvm/lib/Support/APFloat.cpp" , 3180, __PRETTY_FUNCTION__)); | |||
3181 | ||||
3182 | uint32_t myexponent, mysignificand; | |||
3183 | ||||
3184 | if (isFiniteNonZero()) { | |||
3185 | myexponent = exponent+127; //bias | |||
3186 | mysignificand = (uint32_t)*significandParts(); | |||
3187 | if (myexponent == 1 && !(mysignificand & 0x800000)) | |||
3188 | myexponent = 0; // denormal | |||
3189 | } else if (category==fcZero) { | |||
3190 | myexponent = 0; | |||
3191 | mysignificand = 0; | |||
3192 | } else if (category==fcInfinity) { | |||
3193 | myexponent = 0xff; | |||
3194 | mysignificand = 0; | |||
3195 | } else { | |||
3196 | assert(category == fcNaN && "Unknown category!")((category == fcNaN && "Unknown category!") ? static_cast <void> (0) : __assert_fail ("category == fcNaN && \"Unknown category!\"" , "/build/llvm-toolchain-snapshot-11~++20200309111110+2c36c23f347/llvm/lib/Support/APFloat.cpp" , 3196, __PRETTY_FUNCTION__)); | |||
3197 | myexponent = 0xff; | |||
3198 | mysignificand = (uint32_t)*significandParts(); | |||
3199 | } | |||
3200 | ||||
3201 | return APInt(32, (((sign&1) << 31) | ((myexponent&0xff) << 23) | | |||
3202 | (mysignificand & 0x7fffff))); | |||
3203 | } | |||
3204 | ||||
3205 | APInt IEEEFloat::convertHalfAPFloatToAPInt() const { | |||
3206 | assert(semantics == (const llvm::fltSemantics*)&semIEEEhalf)((semantics == (const llvm::fltSemantics*)&semIEEEhalf) ? static_cast<void> (0) : __assert_fail ("semantics == (const llvm::fltSemantics*)&semIEEEhalf" , "/build/llvm-toolchain-snapshot-11~++20200309111110+2c36c23f347/llvm/lib/Support/APFloat.cpp" , 3206, __PRETTY_FUNCTION__)); | |||
3207 | assert(partCount()==1)((partCount()==1) ? static_cast<void> (0) : __assert_fail ("partCount()==1", "/build/llvm-toolchain-snapshot-11~++20200309111110+2c36c23f347/llvm/lib/Support/APFloat.cpp" , 3207, __PRETTY_FUNCTION__)); | |||
3208 | ||||
3209 | uint32_t myexponent, mysignificand; | |||
3210 | ||||
3211 | if (isFiniteNonZero()) { | |||
3212 | myexponent = exponent+15; //bias | |||
3213 | mysignificand = (uint32_t)*significandParts(); | |||
3214 | if (myexponent == 1 && !(mysignificand & 0x400)) | |||
3215 | myexponent = 0; // denormal | |||
3216 | } else if (category==fcZero) { | |||
3217 | myexponent = 0; | |||
3218 | mysignificand = 0; | |||
3219 | } else if (category==fcInfinity) { | |||
3220 | myexponent = 0x1f; | |||
3221 | mysignificand = 0; | |||
3222 | } else { | |||
3223 | assert(category == fcNaN && "Unknown category!")((category == fcNaN && "Unknown category!") ? static_cast <void> (0) : __assert_fail ("category == fcNaN && \"Unknown category!\"" , "/build/llvm-toolchain-snapshot-11~++20200309111110+2c36c23f347/llvm/lib/Support/APFloat.cpp" , 3223, __PRETTY_FUNCTION__)); | |||
3224 | myexponent = 0x1f; | |||
3225 | mysignificand = (uint32_t)*significandParts(); | |||
3226 | } | |||
3227 | ||||
3228 | return APInt(16, (((sign&1) << 15) | ((myexponent&0x1f) << 10) | | |||
3229 | (mysignificand & 0x3ff))); | |||
3230 | } | |||
3231 | ||||
3232 | // This function creates an APInt that is just a bit map of the floating | |||
3233 | // point constant as it would appear in memory. It is not a conversion, | |||
3234 | // and treating the result as a normal integer is unlikely to be useful. | |||
3235 | ||||
3236 | APInt IEEEFloat::bitcastToAPInt() const { | |||
3237 | if (semantics == (const llvm::fltSemantics*)&semIEEEhalf) | |||
3238 | return convertHalfAPFloatToAPInt(); | |||
3239 | ||||
3240 | if (semantics == (const llvm::fltSemantics*)&semIEEEsingle) | |||
3241 | return convertFloatAPFloatToAPInt(); | |||
3242 | ||||
3243 | if (semantics == (const llvm::fltSemantics*)&semIEEEdouble) | |||
3244 | return convertDoubleAPFloatToAPInt(); | |||
3245 | ||||
3246 | if (semantics == (const llvm::fltSemantics*)&semIEEEquad) | |||
3247 | return convertQuadrupleAPFloatToAPInt(); | |||
3248 | ||||
3249 | if (semantics == (const llvm::fltSemantics *)&semPPCDoubleDoubleLegacy) | |||
3250 | return convertPPCDoubleDoubleAPFloatToAPInt(); | |||
3251 | ||||
3252 | assert(semantics == (const llvm::fltSemantics*)&semX87DoubleExtended &&((semantics == (const llvm::fltSemantics*)&semX87DoubleExtended && "unknown format!") ? static_cast<void> (0) : __assert_fail ("semantics == (const llvm::fltSemantics*)&semX87DoubleExtended && \"unknown format!\"" , "/build/llvm-toolchain-snapshot-11~++20200309111110+2c36c23f347/llvm/lib/Support/APFloat.cpp" , 3253, __PRETTY_FUNCTION__)) | |||
3253 | "unknown format!")((semantics == (const llvm::fltSemantics*)&semX87DoubleExtended && "unknown format!") ? static_cast<void> (0) : __assert_fail ("semantics == (const llvm::fltSemantics*)&semX87DoubleExtended && \"unknown format!\"" , "/build/llvm-toolchain-snapshot-11~++20200309111110+2c36c23f347/llvm/lib/Support/APFloat.cpp" , 3253, __PRETTY_FUNCTION__)); | |||
3254 | return convertF80LongDoubleAPFloatToAPInt(); | |||
3255 | } | |||
3256 | ||||
3257 | float IEEEFloat::convertToFloat() const { | |||
3258 | assert(semantics == (const llvm::fltSemantics*)&semIEEEsingle &&((semantics == (const llvm::fltSemantics*)&semIEEEsingle && "Float semantics are not IEEEsingle") ? static_cast<void> (0) : __assert_fail ("semantics == (const llvm::fltSemantics*)&semIEEEsingle && \"Float semantics are not IEEEsingle\"" , "/build/llvm-toolchain-snapshot-11~++20200309111110+2c36c23f347/llvm/lib/Support/APFloat.cpp" , 3259, __PRETTY_FUNCTION__)) | |||
3259 | "Float semantics are not IEEEsingle")((semantics == (const llvm::fltSemantics*)&semIEEEsingle && "Float semantics are not IEEEsingle") ? static_cast<void> (0) : __assert_fail ("semantics == (const llvm::fltSemantics*)&semIEEEsingle && \"Float semantics are not IEEEsingle\"" , "/build/llvm-toolchain-snapshot-11~++20200309111110+2c36c23f347/llvm/lib/Support/APFloat.cpp" , 3259, __PRETTY_FUNCTION__)); | |||
3260 | APInt api = bitcastToAPInt(); | |||
3261 | return api.bitsToFloat(); | |||
3262 | } | |||
3263 | ||||
3264 | double IEEEFloat::convertToDouble() const { | |||
3265 | assert(semantics == (const llvm::fltSemantics*)&semIEEEdouble &&((semantics == (const llvm::fltSemantics*)&semIEEEdouble && "Float semantics are not IEEEdouble") ? static_cast<void> (0) : __assert_fail ("semantics == (const llvm::fltSemantics*)&semIEEEdouble && \"Float semantics are not IEEEdouble\"" , "/build/llvm-toolchain-snapshot-11~++20200309111110+2c36c23f347/llvm/lib/Support/APFloat.cpp" , 3266, __PRETTY_FUNCTION__)) | |||
3266 | "Float semantics are not IEEEdouble")((semantics == (const llvm::fltSemantics*)&semIEEEdouble && "Float semantics are not IEEEdouble") ? static_cast<void> (0) : __assert_fail ("semantics == (const llvm::fltSemantics*)&semIEEEdouble && \"Float semantics are not IEEEdouble\"" , "/build/llvm-toolchain-snapshot-11~++20200309111110+2c36c23f347/llvm/lib/Support/APFloat.cpp" , 3266, __PRETTY_FUNCTION__)); | |||
3267 | APInt api = bitcastToAPInt(); | |||
3268 | return api.bitsToDouble(); | |||
3269 | } | |||
3270 | ||||
3271 | /// Integer bit is explicit in this format. Intel hardware (387 and later) | |||
3272 | /// does not support these bit patterns: | |||
3273 | /// exponent = all 1's, integer bit 0, significand 0 ("pseudoinfinity") | |||
3274 | /// exponent = all 1's, integer bit 0, significand nonzero ("pseudoNaN") | |||
3275 | /// exponent!=0 nor all 1's, integer bit 0 ("unnormal") | |||
3276 | /// exponent = 0, integer bit 1 ("pseudodenormal") | |||
3277 | /// At the moment, the first three are treated as NaNs, the last one as Normal. | |||
3278 | void IEEEFloat::initFromF80LongDoubleAPInt(const APInt &api) { | |||
3279 | assert(api.getBitWidth()==80)((api.getBitWidth()==80) ? static_cast<void> (0) : __assert_fail ("api.getBitWidth()==80", "/build/llvm-toolchain-snapshot-11~++20200309111110+2c36c23f347/llvm/lib/Support/APFloat.cpp" , 3279, __PRETTY_FUNCTION__)); | |||
3280 | uint64_t i1 = api.getRawData()[0]; | |||
3281 | uint64_t i2 = api.getRawData()[1]; | |||
3282 | uint64_t myexponent = (i2 & 0x7fff); | |||
3283 | uint64_t mysignificand = i1; | |||
3284 | uint8_t myintegerbit = mysignificand >> 63; | |||
3285 | ||||
3286 | initialize(&semX87DoubleExtended); | |||
3287 | assert(partCount()==2)((partCount()==2) ? static_cast<void> (0) : __assert_fail ("partCount()==2", "/build/llvm-toolchain-snapshot-11~++20200309111110+2c36c23f347/llvm/lib/Support/APFloat.cpp" , 3287, __PRETTY_FUNCTION__)); | |||
3288 | ||||
3289 | sign = static_cast<unsigned int>(i2>>15); | |||
3290 | if (myexponent == 0 && mysignificand == 0) { | |||
3291 | // exponent, significand meaningless | |||
3292 | category = fcZero; | |||
3293 | } else if (myexponent==0x7fff && mysignificand==0x8000000000000000ULL) { | |||
3294 | // exponent, significand meaningless | |||
3295 | category = fcInfinity; | |||
3296 | } else if ((myexponent == 0x7fff && mysignificand != 0x8000000000000000ULL) || | |||
3297 | (myexponent != 0x7fff && myexponent != 0 && myintegerbit == 0)) { | |||
3298 | // exponent meaningless | |||
3299 | category = fcNaN; | |||
3300 | significandParts()[0] = mysignificand; | |||
3301 | significandParts()[1] = 0; | |||
3302 | } else { | |||
3303 | category = fcNormal; | |||
3304 | exponent = myexponent - 16383; | |||
3305 | significandParts()[0] = mysignificand; | |||
3306 | significandParts()[1] = 0; | |||
3307 | if (myexponent==0) // denormal | |||
3308 | exponent = -16382; | |||
3309 | } | |||
3310 | } | |||
3311 | ||||
3312 | void IEEEFloat::initFromPPCDoubleDoubleAPInt(const APInt &api) { | |||
3313 | assert(api.getBitWidth()==128)((api.getBitWidth()==128) ? static_cast<void> (0) : __assert_fail ("api.getBitWidth()==128", "/build/llvm-toolchain-snapshot-11~++20200309111110+2c36c23f347/llvm/lib/Support/APFloat.cpp" , 3313, __PRETTY_FUNCTION__)); | |||
3314 | uint64_t i1 = api.getRawData()[0]; | |||
3315 | uint64_t i2 = api.getRawData()[1]; | |||
3316 | opStatus fs; | |||
3317 | bool losesInfo; | |||
3318 | ||||
3319 | // Get the first double and convert to our format. | |||
3320 | initFromDoubleAPInt(APInt(64, i1)); | |||
3321 | fs = convert(semPPCDoubleDoubleLegacy, rmNearestTiesToEven, &losesInfo); | |||
3322 | assert(fs == opOK && !losesInfo)((fs == opOK && !losesInfo) ? static_cast<void> (0) : __assert_fail ("fs == opOK && !losesInfo", "/build/llvm-toolchain-snapshot-11~++20200309111110+2c36c23f347/llvm/lib/Support/APFloat.cpp" , 3322, __PRETTY_FUNCTION__)); | |||
3323 | (void)fs; | |||
3324 | ||||
3325 | // Unless we have a special case, add in second double. | |||
3326 | if (isFiniteNonZero()) { | |||
3327 | IEEEFloat v(semIEEEdouble, APInt(64, i2)); | |||
3328 | fs = v.convert(semPPCDoubleDoubleLegacy, rmNearestTiesToEven, &losesInfo); | |||
3329 | assert(fs == opOK && !losesInfo)((fs == opOK && !losesInfo) ? static_cast<void> (0) : __assert_fail ("fs == opOK && !losesInfo", "/build/llvm-toolchain-snapshot-11~++20200309111110+2c36c23f347/llvm/lib/Support/APFloat.cpp" , 3329, __PRETTY_FUNCTION__)); | |||
3330 | (void)fs; | |||
3331 | ||||
3332 | add(v, rmNearestTiesToEven); | |||
3333 | } | |||
3334 | } | |||
3335 | ||||
3336 | void IEEEFloat::initFromQuadrupleAPInt(const APInt &api) { | |||
3337 | assert(api.getBitWidth()==128)((api.getBitWidth()==128) ? static_cast<void> (0) : __assert_fail ("api.getBitWidth()==128", "/build/llvm-toolchain-snapshot-11~++20200309111110+2c36c23f347/llvm/lib/Support/APFloat.cpp" , 3337, __PRETTY_FUNCTION__)); | |||
3338 | uint64_t i1 = api.getRawData()[0]; | |||
3339 | uint64_t i2 = api.getRawData()[1]; | |||
3340 | uint64_t myexponent = (i2 >> 48) & 0x7fff; | |||
3341 | uint64_t mysignificand = i1; | |||
3342 | uint64_t mysignificand2 = i2 & 0xffffffffffffLL; | |||
3343 | ||||
3344 | initialize(&semIEEEquad); | |||
3345 | assert(partCount()==2)((partCount()==2) ? static_cast<void> (0) : __assert_fail ("partCount()==2", "/build/llvm-toolchain-snapshot-11~++20200309111110+2c36c23f347/llvm/lib/Support/APFloat.cpp" , 3345, __PRETTY_FUNCTION__)); | |||
3346 | ||||
3347 | sign = static_cast<unsigned int>(i2>>63); | |||
3348 | if (myexponent==0 && | |||
3349 | (mysignificand==0 && mysignificand2==0)) { | |||
3350 | // exponent, significand meaningless | |||
3351 | category = fcZero; | |||
3352 | } else if (myexponent==0x7fff && | |||
3353 | (mysignificand==0 && mysignificand2==0)) { | |||
3354 | // exponent, significand meaningless | |||
3355 | category = fcInfinity; | |||
3356 | } else if (myexponent==0x7fff && | |||
3357 | (mysignificand!=0 || mysignificand2 !=0)) { | |||
3358 | // exponent meaningless | |||
3359 | category = fcNaN; | |||
3360 | significandParts()[0] = mysignificand; | |||
3361 | significandParts()[1] = mysignificand2; | |||
3362 | } else { | |||
3363 | category = fcNormal; | |||
3364 | exponent = myexponent - 16383; | |||
3365 | significandParts()[0] = mysignificand; | |||
3366 | significandParts()[1] = mysignificand2; | |||
3367 | if (myexponent==0) // denormal | |||
3368 | exponent = -16382; | |||
3369 | else | |||
3370 | significandParts()[1] |= 0x1000000000000LL; // integer bit | |||
3371 | } | |||
3372 | } | |||
3373 | ||||
3374 | void IEEEFloat::initFromDoubleAPInt(const APInt &api) { | |||
3375 | assert(api.getBitWidth()==64)((api.getBitWidth()==64) ? static_cast<void> (0) : __assert_fail ("api.getBitWidth()==64", "/build/llvm-toolchain-snapshot-11~++20200309111110+2c36c23f347/llvm/lib/Support/APFloat.cpp" , 3375, __PRETTY_FUNCTION__)); | |||
3376 | uint64_t i = *api.getRawData(); | |||
3377 | uint64_t myexponent = (i >> 52) & 0x7ff; | |||
3378 | uint64_t mysignificand = i & 0xfffffffffffffLL; | |||
3379 | ||||
3380 | initialize(&semIEEEdouble); | |||
3381 | assert(partCount()==1)((partCount()==1) ? static_cast<void> (0) : __assert_fail ("partCount()==1", "/build/llvm-toolchain-snapshot-11~++20200309111110+2c36c23f347/llvm/lib/Support/APFloat.cpp" , 3381, __PRETTY_FUNCTION__)); | |||
3382 | ||||
3383 | sign = static_cast<unsigned int>(i>>63); | |||
3384 | if (myexponent==0 && mysignificand==0) { | |||
3385 | // exponent, significand meaningless | |||
3386 | category = fcZero; | |||
3387 | } else if (myexponent==0x7ff && mysignificand==0) { | |||
3388 | // exponent, significand meaningless | |||
3389 | category = fcInfinity; | |||
3390 | } else if (myexponent==0x7ff && mysignificand!=0) { | |||
3391 | // exponent meaningless | |||
3392 | category = fcNaN; | |||
3393 | *significandParts() = mysignificand; | |||
3394 | } else { | |||
3395 | category = fcNormal; | |||
3396 | exponent = myexponent - 1023; | |||
3397 | *significandParts() = mysignificand; | |||
3398 | if (myexponent==0) // denormal | |||
3399 | exponent = -1022; | |||
3400 | else | |||
3401 | *significandParts() |= 0x10000000000000LL; // integer bit | |||
3402 | } | |||
3403 | } | |||
3404 | ||||
3405 | void IEEEFloat::initFromFloatAPInt(const APInt &api) { | |||
3406 | assert(api.getBitWidth()==32)((api.getBitWidth()==32) ? static_cast<void> (0) : __assert_fail ("api.getBitWidth()==32", "/build/llvm-toolchain-snapshot-11~++20200309111110+2c36c23f347/llvm/lib/Support/APFloat.cpp" , 3406, __PRETTY_FUNCTION__)); | |||
3407 | uint32_t i = (uint32_t)*api.getRawData(); | |||
3408 | uint32_t myexponent = (i >> 23) & 0xff; | |||
3409 | uint32_t mysignificand = i & 0x7fffff; | |||
3410 | ||||
3411 | initialize(&semIEEEsingle); | |||
3412 | assert(partCount()==1)((partCount()==1) ? static_cast<void> (0) : __assert_fail ("partCount()==1", "/build/llvm-toolchain-snapshot-11~++20200309111110+2c36c23f347/llvm/lib/Support/APFloat.cpp" , 3412, __PRETTY_FUNCTION__)); | |||
3413 | ||||
3414 | sign = i >> 31; | |||
3415 | if (myexponent==0 && mysignificand==0) { | |||
3416 | // exponent, significand meaningless | |||
3417 | category = fcZero; | |||
3418 | } else if (myexponent==0xff && mysignificand==0) { | |||
3419 | // exponent, significand meaningless | |||
3420 | category = fcInfinity; | |||
3421 | } else if (myexponent==0xff && mysignificand!=0) { | |||
3422 | // sign, exponent, significand meaningless | |||
3423 | category = fcNaN; | |||
3424 | *significandParts() = mysignificand; | |||
3425 | } else { | |||
3426 | category = fcNormal; | |||
3427 | exponent = myexponent - 127; //bias | |||
3428 | *significandParts() = mysignificand; | |||
3429 | if (myexponent==0) // denormal | |||
3430 | exponent = -126; | |||
3431 | else | |||
3432 | *significandParts() |= 0x800000; // integer bit | |||
3433 | } | |||
3434 | } | |||
3435 | ||||
3436 | void IEEEFloat::initFromHalfAPInt(const APInt &api) { | |||
3437 | assert(api.getBitWidth()==16)((api.getBitWidth()==16) ? static_cast<void> (0) : __assert_fail ("api.getBitWidth()==16", "/build/llvm-toolchain-snapshot-11~++20200309111110+2c36c23f347/llvm/lib/Support/APFloat.cpp" , 3437, __PRETTY_FUNCTION__)); | |||
3438 | uint32_t i = (uint32_t)*api.getRawData(); | |||
3439 | uint32_t myexponent = (i >> 10) & 0x1f; | |||
3440 | uint32_t mysignificand = i & 0x3ff; | |||
3441 | ||||
3442 | initialize(&semIEEEhalf); | |||
3443 | assert(partCount()==1)((partCount()==1) ? static_cast<void> (0) : __assert_fail ("partCount()==1", "/build/llvm-toolchain-snapshot-11~++20200309111110+2c36c23f347/llvm/lib/Support/APFloat.cpp" , 3443, __PRETTY_FUNCTION__)); | |||
3444 | ||||
3445 | sign = i >> 15; | |||
3446 | if (myexponent==0 && mysignificand==0) { | |||
3447 | // exponent, significand meaningless | |||
3448 | category = fcZero; | |||
3449 | } else if (myexponent==0x1f && mysignificand==0) { | |||
3450 | // exponent, significand meaningless | |||
3451 | category = fcInfinity; | |||
3452 | } else if (myexponent==0x1f && mysignificand!=0) { | |||
3453 | // sign, exponent, significand meaningless | |||
3454 | category = fcNaN; | |||
3455 | *significandParts() = mysignificand; | |||
3456 | } else { | |||
3457 | category = fcNormal; | |||
3458 | exponent = myexponent - 15; //bias | |||
3459 | *significandParts() = mysignificand; | |||
3460 | if (myexponent==0) // denormal | |||
3461 | exponent = -14; | |||
3462 | else | |||
3463 | *significandParts() |= 0x400; // integer bit | |||
3464 | } | |||
3465 | } | |||
3466 | ||||
3467 | /// Treat api as containing the bits of a floating point number. Currently | |||
3468 | /// we infer the floating point type from the size of the APInt. The | |||
3469 | /// isIEEE argument distinguishes between PPC128 and IEEE128 (not meaningful | |||
3470 | /// when the size is anything else). | |||
3471 | void IEEEFloat::initFromAPInt(const fltSemantics *Sem, const APInt &api) { | |||
3472 | if (Sem == &semIEEEhalf) | |||
3473 | return initFromHalfAPInt(api); | |||
3474 | if (Sem == &semIEEEsingle) | |||
3475 | return initFromFloatAPInt(api); | |||
3476 | if (Sem == &semIEEEdouble) | |||
3477 | return initFromDoubleAPInt(api); | |||
3478 | if (Sem == &semX87DoubleExtended) | |||
3479 | return initFromF80LongDoubleAPInt(api); | |||
3480 | if (Sem == &semIEEEquad) | |||
3481 | return initFromQuadrupleAPInt(api); | |||
3482 | if (Sem == &semPPCDoubleDoubleLegacy) | |||
3483 | return initFromPPCDoubleDoubleAPInt(api); | |||
3484 | ||||
3485 | llvm_unreachable(nullptr)::llvm::llvm_unreachable_internal(nullptr, "/build/llvm-toolchain-snapshot-11~++20200309111110+2c36c23f347/llvm/lib/Support/APFloat.cpp" , 3485); | |||
3486 | } | |||
3487 | ||||
3488 | /// Make this number the largest magnitude normal number in the given | |||
3489 | /// semantics. | |||
3490 | void IEEEFloat::makeLargest(bool Negative) { | |||
3491 | // We want (in interchange format): | |||
3492 | // sign = {Negative} | |||
3493 | // exponent = 1..10 | |||
3494 | // significand = 1..1 | |||
3495 | category = fcNormal; | |||
3496 | sign = Negative; | |||
3497 | exponent = semantics->maxExponent; | |||
3498 | ||||
3499 | // Use memset to set all but the highest integerPart to all ones. | |||
3500 | integerPart *significand = significandParts(); | |||
3501 | unsigned PartCount = partCount(); | |||
3502 | memset(significand, 0xFF, sizeof(integerPart)*(PartCount - 1)); | |||
3503 | ||||
3504 | // Set the high integerPart especially setting all unused top bits for | |||
3505 | // internal consistency. | |||
3506 | const unsigned NumUnusedHighBits = | |||
3507 | PartCount*integerPartWidth - semantics->precision; | |||
3508 | significand[PartCount - 1] = (NumUnusedHighBits < integerPartWidth) | |||
3509 | ? (~integerPart(0) >> NumUnusedHighBits) | |||
3510 | : 0; | |||
3511 | } | |||
3512 | ||||
3513 | /// Make this number the smallest magnitude denormal number in the given | |||
3514 | /// semantics. | |||
3515 | void IEEEFloat::makeSmallest(bool Negative) { | |||
3516 | // We want (in interchange format): | |||
3517 | // sign = {Negative} | |||
3518 | // exponent = 0..0 | |||
3519 | // significand = 0..01 | |||
3520 | category = fcNormal; | |||
3521 | sign = Negative; | |||
3522 | exponent = semantics->minExponent; | |||
3523 | APInt::tcSet(significandParts(), 1, partCount()); | |||
3524 | } | |||
3525 | ||||
3526 | void IEEEFloat::makeSmallestNormalized(bool Negative) { | |||
3527 | // We want (in interchange format): | |||
3528 | // sign = {Negative} | |||
3529 | // exponent = 0..0 | |||
3530 | // significand = 10..0 | |||
3531 | ||||
3532 | category = fcNormal; | |||
3533 | zeroSignificand(); | |||
3534 | sign = Negative; | |||
3535 | exponent = semantics->minExponent; | |||
3536 | significandParts()[partCountForBits(semantics->precision) - 1] |= | |||
3537 | (((integerPart)1) << ((semantics->precision - 1) % integerPartWidth)); | |||
3538 | } | |||
3539 | ||||
3540 | IEEEFloat::IEEEFloat(const fltSemantics &Sem, const APInt &API) { | |||
3541 | initFromAPInt(&Sem, API); | |||
3542 | } | |||
3543 | ||||
3544 | IEEEFloat::IEEEFloat(float f) { | |||
3545 | initFromAPInt(&semIEEEsingle, APInt::floatToBits(f)); | |||
3546 | } | |||
3547 | ||||
3548 | IEEEFloat::IEEEFloat(double d) { | |||
3549 | initFromAPInt(&semIEEEdouble, APInt::doubleToBits(d)); | |||
3550 | } | |||
3551 | ||||
3552 | namespace { | |||
3553 | void append(SmallVectorImpl<char> &Buffer, StringRef Str) { | |||
3554 | Buffer.append(Str.begin(), Str.end()); | |||
3555 | } | |||
3556 | ||||
3557 | /// Removes data from the given significand until it is no more | |||
3558 | /// precise than is required for the desired precision. | |||
3559 | void AdjustToPrecision(APInt &significand, | |||
3560 | int &exp, unsigned FormatPrecision) { | |||
3561 | unsigned bits = significand.getActiveBits(); | |||
3562 | ||||
3563 | // 196/59 is a very slight overestimate of lg_2(10). | |||
3564 | unsigned bitsRequired = (FormatPrecision * 196 + 58) / 59; | |||
3565 | ||||
3566 | if (bits <= bitsRequired) return; | |||
3567 | ||||
3568 | unsigned tensRemovable = (bits - bitsRequired) * 59 / 196; | |||
3569 | if (!tensRemovable) return; | |||
3570 | ||||
3571 | exp += tensRemovable; | |||
3572 | ||||
3573 | APInt divisor(significand.getBitWidth(), 1); | |||
3574 | APInt powten(significand.getBitWidth(), 10); | |||
3575 | while (true) { | |||
3576 | if (tensRemovable & 1) | |||
3577 | divisor *= powten; | |||
3578 | tensRemovable >>= 1; | |||
3579 | if (!tensRemovable) break; | |||
3580 | powten *= powten; | |||
3581 | } | |||
3582 | ||||
3583 | significand = significand.udiv(divisor); | |||
3584 | ||||
3585 | // Truncate the significand down to its active bit count. | |||
3586 | significand = significand.trunc(significand.getActiveBits()); | |||
3587 | } | |||
3588 | ||||
3589 | ||||
3590 | void AdjustToPrecision(SmallVectorImpl<char> &buffer, | |||
3591 | int &exp, unsigned FormatPrecision) { | |||
3592 | unsigned N = buffer.size(); | |||
3593 | if (N <= FormatPrecision) return; | |||
3594 | ||||
3595 | // The most significant figures are the last ones in the buffer. | |||
3596 | unsigned FirstSignificant = N - FormatPrecision; | |||
3597 | ||||
3598 | // Round. | |||
3599 | // FIXME: this probably shouldn't use 'round half up'. | |||
3600 | ||||
3601 | // Rounding down is just a truncation, except we also want to drop | |||
3602 | // trailing zeros from the new result. | |||
3603 | if (buffer[FirstSignificant - 1] < '5') { | |||
3604 | while (FirstSignificant < N && buffer[FirstSignificant] == '0') | |||
3605 | FirstSignificant++; | |||
3606 | ||||
3607 | exp += FirstSignificant; | |||
3608 | buffer.erase(&buffer[0], &buffer[FirstSignificant]); | |||
3609 | return; | |||
3610 | } | |||
3611 | ||||
3612 | // Rounding up requires a decimal add-with-carry. If we continue | |||
3613 | // the carry, the newly-introduced zeros will just be truncated. | |||
3614 | for (unsigned I = FirstSignificant; I != N; ++I) { | |||
3615 | if (buffer[I] == '9') { | |||
3616 | FirstSignificant++; | |||
3617 | } else { | |||
3618 | buffer[I]++; | |||
3619 | break; | |||
3620 | } | |||
3621 | } | |||
3622 | ||||
3623 | // If we carried through, we have exactly one digit of precision. | |||
3624 | if (FirstSignificant == N) { | |||
3625 | exp += FirstSignificant; | |||
3626 | buffer.clear(); | |||
3627 | buffer.push_back('1'); | |||
3628 | return; | |||
3629 | } | |||
3630 | ||||
3631 | exp += FirstSignificant; | |||
3632 | buffer.erase(&buffer[0], &buffer[FirstSignificant]); | |||
3633 | } | |||
3634 | } | |||
3635 | ||||
3636 | void IEEEFloat::toString(SmallVectorImpl<char> &Str, unsigned FormatPrecision, | |||
3637 | unsigned FormatMaxPadding, bool TruncateZero) const { | |||
3638 | switch (category) { | |||
3639 | case fcInfinity: | |||
3640 | if (isNegative()) | |||
3641 | return append(Str, "-Inf"); | |||
3642 | else | |||
3643 | return append(Str, "+Inf"); | |||
3644 | ||||
3645 | case fcNaN: return append(Str, "NaN"); | |||
3646 | ||||
3647 | case fcZero: | |||
3648 | if (isNegative()) | |||
3649 | Str.push_back('-'); | |||
3650 | ||||
3651 | if (!FormatMaxPadding) { | |||
3652 | if (TruncateZero) | |||
3653 | append(Str, "0.0E+0"); | |||
3654 | else { | |||
3655 | append(Str, "0.0"); | |||
3656 | if (FormatPrecision > 1) | |||
3657 | Str.append(FormatPrecision - 1, '0'); | |||
3658 | append(Str, "e+00"); | |||
3659 | } | |||
3660 | } else | |||
3661 | Str.push_back('0'); | |||
3662 | return; | |||
3663 | ||||
3664 | case fcNormal: | |||
3665 | break; | |||
3666 | } | |||
3667 | ||||
3668 | if (isNegative()) | |||
3669 | Str.push_back('-'); | |||
3670 | ||||
3671 | // Decompose the number into an APInt and an exponent. | |||
3672 | int exp = exponent - ((int) semantics->precision - 1); | |||
3673 | APInt significand(semantics->precision, | |||
3674 | makeArrayRef(significandParts(), | |||
3675 | partCountForBits(semantics->precision))); | |||
3676 | ||||
3677 | // Set FormatPrecision if zero. We want to do this before we | |||
3678 | // truncate trailing zeros, as those are part of the precision. | |||
3679 | if (!FormatPrecision) { | |||
3680 | // We use enough digits so the number can be round-tripped back to an | |||
3681 | // APFloat. The formula comes from "How to Print Floating-Point Numbers | |||
3682 | // Accurately" by Steele and White. | |||
3683 | // FIXME: Using a formula based purely on the precision is conservative; | |||
3684 | // we can print fewer digits depending on the actual value being printed. | |||
3685 | ||||
3686 | // FormatPrecision = 2 + floor(significandBits / lg_2(10)) | |||
3687 | FormatPrecision = 2 + semantics->precision * 59 / 196; | |||
3688 | } | |||
3689 | ||||
3690 | // Ignore trailing binary zeros. | |||
3691 | int trailingZeros = significand.countTrailingZeros(); | |||
3692 | exp += trailingZeros; | |||
3693 | significand.lshrInPlace(trailingZeros); | |||
3694 | ||||
3695 | // Change the exponent from 2^e to 10^e. | |||
3696 | if (exp == 0) { | |||
3697 | // Nothing to do. | |||
3698 | } else if (exp > 0) { | |||
3699 | // Just shift left. | |||
3700 | significand = significand.zext(semantics->precision + exp); | |||
3701 | significand <<= exp; | |||
3702 | exp = 0; | |||
3703 | } else { /* exp < 0 */ | |||
3704 | int texp = -exp; | |||
3705 | ||||
3706 | // We transform this using the identity: | |||
3707 | // (N)(2^-e) == (N)(5^e)(10^-e) | |||
3708 | // This means we have to multiply N (the significand) by 5^e. | |||
3709 | // To avoid overflow, we have to operate on numbers large | |||
3710 | // enough to store N * 5^e: | |||
3711 | // log2(N * 5^e) == log2(N) + e * log2(5) | |||
3712 | // <= semantics->precision + e * 137 / 59 | |||
3713 | // (log_2(5) ~ 2.321928 < 2.322034 ~ 137/59) | |||
3714 | ||||
3715 | unsigned precision = semantics->precision + (137 * texp + 136) / 59; | |||
3716 | ||||
3717 | // Multiply significand by 5^e. | |||
3718 | // N * 5^0101 == N * 5^(1*1) * 5^(0*2) * 5^(1*4) * 5^(0*8) | |||
3719 | significand = significand.zext(precision); | |||
3720 | APInt five_to_the_i(precision, 5); | |||
3721 | while (true) { | |||
3722 | if (texp & 1) significand *= five_to_the_i; | |||
3723 | ||||
3724 | texp >>= 1; | |||
3725 | if (!texp) break; | |||
3726 | five_to_the_i *= five_to_the_i; | |||
3727 | } | |||
3728 | } | |||
3729 | ||||
3730 | AdjustToPrecision(significand, exp, FormatPrecision); | |||
3731 | ||||
3732 | SmallVector<char, 256> buffer; | |||
3733 | ||||
3734 | // Fill the buffer. | |||
3735 | unsigned precision = significand.getBitWidth(); | |||
3736 | APInt ten(precision, 10); | |||
3737 | APInt digit(precision, 0); | |||
3738 | ||||
3739 | bool inTrail = true; | |||
3740 | while (significand != 0) { | |||
3741 | // digit <- significand % 10 | |||
3742 | // significand <- significand / 10 | |||
3743 | APInt::udivrem(significand, ten, significand, digit); | |||
3744 | ||||
3745 | unsigned d = digit.getZExtValue(); | |||
3746 | ||||
3747 | // Drop trailing zeros. | |||
3748 | if (inTrail && !d) exp++; | |||
3749 | else { | |||
3750 | buffer.push_back((char) ('0' + d)); | |||
3751 | inTrail = false; | |||
3752 | } | |||
3753 | } | |||
3754 | ||||
3755 | assert(!buffer.empty() && "no characters in buffer!")((!buffer.empty() && "no characters in buffer!") ? static_cast <void> (0) : __assert_fail ("!buffer.empty() && \"no characters in buffer!\"" , "/build/llvm-toolchain-snapshot-11~++20200309111110+2c36c23f347/llvm/lib/Support/APFloat.cpp" , 3755, __PRETTY_FUNCTION__)); | |||
3756 | ||||
3757 | // Drop down to FormatPrecision. | |||
3758 | // TODO: don't do more precise calculations above than are required. | |||
3759 | AdjustToPrecision(buffer, exp, FormatPrecision); | |||
3760 | ||||
3761 | unsigned NDigits = buffer.size(); | |||
3762 | ||||
3763 | // Check whether we should use scientific notation. | |||
3764 | bool FormatScientific; | |||
3765 | if (!FormatMaxPadding) | |||
3766 | FormatScientific = true; | |||
3767 | else { | |||
3768 | if (exp >= 0) { | |||
3769 | // 765e3 --> 765000 | |||
3770 | // ^^^ | |||
3771 | // But we shouldn't make the number look more precise than it is. | |||
3772 | FormatScientific = ((unsigned) exp > FormatMaxPadding || | |||
3773 | NDigits + (unsigned) exp > FormatPrecision); | |||
3774 | } else { | |||
3775 | // Power of the most significant digit. | |||
3776 | int MSD = exp + (int) (NDigits - 1); | |||
3777 | if (MSD >= 0) { | |||
3778 | // 765e-2 == 7.65 | |||
3779 | FormatScientific = false; | |||
3780 | } else { | |||
3781 | // 765e-5 == 0.00765 | |||
3782 | // ^ ^^ | |||
3783 | FormatScientific = ((unsigned) -MSD) > FormatMaxPadding; | |||
3784 | } | |||
3785 | } | |||
3786 | } | |||
3787 | ||||
3788 | // Scientific formatting is pretty straightforward. | |||
3789 | if (FormatScientific) { | |||
3790 | exp += (NDigits - 1); | |||
3791 | ||||
3792 | Str.push_back(buffer[NDigits-1]); | |||
3793 | Str.push_back('.'); | |||
3794 | if (NDigits == 1 && TruncateZero) | |||
3795 | Str.push_back('0'); | |||
3796 | else | |||
3797 | for (unsigned I = 1; I != NDigits; ++I) | |||
3798 | Str.push_back(buffer[NDigits-1-I]); | |||
3799 | // Fill with zeros up to FormatPrecision. | |||
3800 | if (!TruncateZero && FormatPrecision > NDigits - 1) | |||
3801 | Str.append(FormatPrecision - NDigits + 1, '0'); | |||
3802 | // For !TruncateZero we use lower 'e'. | |||
3803 | Str.push_back(TruncateZero ? 'E' : 'e'); | |||
3804 | ||||
3805 | Str.push_back(exp >= 0 ? '+' : '-'); | |||
3806 | if (exp < 0) exp = -exp; | |||
3807 | SmallVector<char, 6> expbuf; | |||
3808 | do { | |||
3809 | expbuf.push_back((char) ('0' + (exp % 10))); | |||
3810 | exp /= 10; | |||
3811 | } while (exp); | |||
3812 | // Exponent always at least two digits if we do not truncate zeros. | |||
3813 | if (!TruncateZero && expbuf.size() < 2) | |||
3814 | expbuf.push_back('0'); | |||
3815 | for (unsigned I = 0, E = expbuf.size(); I != E; ++I) | |||
3816 | Str.push_back(expbuf[E-1-I]); | |||
3817 | return; | |||
3818 | } | |||
3819 | ||||
3820 | // Non-scientific, positive exponents. | |||
3821 | if (exp >= 0) { | |||
3822 | for (unsigned I = 0; I != NDigits; ++I) | |||
3823 | Str.push_back(buffer[NDigits-1-I]); | |||
3824 | for (unsigned I = 0; I != (unsigned) exp; ++I) | |||
3825 | Str.push_back('0'); | |||
3826 | return; | |||
3827 | } | |||
3828 | ||||
3829 | // Non-scientific, negative exponents. | |||
3830 | ||||
3831 | // The number of digits to the left of the decimal point. | |||
3832 | int NWholeDigits = exp + (int) NDigits; | |||
3833 | ||||
3834 | unsigned I = 0; | |||
3835 | if (NWholeDigits > 0) { | |||
3836 | for (; I != (unsigned) NWholeDigits; ++I) | |||
3837 | Str.push_back(buffer[NDigits-I-1]); | |||
3838 | Str.push_back('.'); | |||
3839 | } else { | |||
3840 | unsigned NZeros = 1 + (unsigned) -NWholeDigits; | |||
3841 | ||||
3842 | Str.push_back('0'); | |||
3843 | Str.push_back('.'); | |||
3844 | for (unsigned Z = 1; Z != NZeros; ++Z) | |||
3845 | Str.push_back('0'); | |||
3846 | } | |||
3847 | ||||
3848 | for (; I != NDigits; ++I) | |||
3849 | Str.push_back(buffer[NDigits-I-1]); | |||
3850 | } | |||
3851 | ||||
3852 | bool IEEEFloat::getExactInverse(APFloat *inv) const { | |||
3853 | // Special floats and denormals have no exact inverse. | |||
3854 | if (!isFiniteNonZero()) | |||
3855 | return false; | |||
3856 | ||||
3857 | // Check that the number is a power of two by making sure that only the | |||
3858 | // integer bit is set in the significand. | |||
3859 | if (significandLSB() != semantics->precision - 1) | |||
3860 | return false; | |||
3861 | ||||
3862 | // Get the inverse. | |||
3863 | IEEEFloat reciprocal(*semantics, 1ULL); | |||
3864 | if (reciprocal.divide(*this, rmNearestTiesToEven) != opOK) | |||
3865 | return false; | |||
3866 | ||||
3867 | // Avoid multiplication with a denormal, it is not safe on all platforms and | |||
3868 | // may be slower than a normal division. | |||
3869 | if (reciprocal.isDenormal()) | |||
3870 | return false; | |||
3871 | ||||
3872 | assert(reciprocal.isFiniteNonZero() &&((reciprocal.isFiniteNonZero() && reciprocal.significandLSB () == reciprocal.semantics->precision - 1) ? static_cast< void> (0) : __assert_fail ("reciprocal.isFiniteNonZero() && reciprocal.significandLSB() == reciprocal.semantics->precision - 1" , "/build/llvm-toolchain-snapshot-11~++20200309111110+2c36c23f347/llvm/lib/Support/APFloat.cpp" , 3873, __PRETTY_FUNCTION__)) | |||
3873 | reciprocal.significandLSB() == reciprocal.semantics->precision - 1)((reciprocal.isFiniteNonZero() && reciprocal.significandLSB () == reciprocal.semantics->precision - 1) ? static_cast< void> (0) : __assert_fail ("reciprocal.isFiniteNonZero() && reciprocal.significandLSB() == reciprocal.semantics->precision - 1" , "/build/llvm-toolchain-snapshot-11~++20200309111110+2c36c23f347/llvm/lib/Support/APFloat.cpp" , 3873, __PRETTY_FUNCTION__)); | |||
3874 | ||||
3875 | if (inv) | |||
3876 | *inv = APFloat(reciprocal, *semantics); | |||
3877 | ||||
3878 | return true; | |||
3879 | } | |||
3880 | ||||
3881 | bool IEEEFloat::isSignaling() const { | |||
3882 | if (!isNaN()) | |||
3883 | return false; | |||
3884 | ||||
3885 | // IEEE-754R 2008 6.2.1: A signaling NaN bit string should be encoded with the | |||
3886 | // first bit of the trailing significand being 0. | |||
3887 | return !APInt::tcExtractBit(significandParts(), semantics->precision - 2); | |||
3888 | } | |||
3889 | ||||
3890 | /// IEEE-754R 2008 5.3.1: nextUp/nextDown. | |||
3891 | /// | |||
3892 | /// *NOTE* since nextDown(x) = -nextUp(-x), we only implement nextUp with | |||
3893 | /// appropriate sign switching before/after the computation. | |||
3894 | IEEEFloat::opStatus IEEEFloat::next(bool nextDown) { | |||
3895 | // If we are performing nextDown, swap sign so we have -x. | |||
3896 | if (nextDown) | |||
3897 | changeSign(); | |||
3898 | ||||
3899 | // Compute nextUp(x) | |||
3900 | opStatus result = opOK; | |||
3901 | ||||
3902 | // Handle each float category separately. | |||
3903 | switch (category) { | |||
3904 | case fcInfinity: | |||
3905 | // nextUp(+inf) = +inf | |||
3906 | if (!isNegative()) | |||
3907 | break; | |||
3908 | // nextUp(-inf) = -getLargest() | |||
3909 | makeLargest(true); | |||
3910 | break; | |||
3911 | case fcNaN: | |||
3912 | // IEEE-754R 2008 6.2 Par 2: nextUp(sNaN) = qNaN. Set Invalid flag. | |||
3913 | // IEEE-754R 2008 6.2: nextUp(qNaN) = qNaN. Must be identity so we do not | |||
3914 | // change the payload. | |||
3915 | if (isSignaling()) { | |||
3916 | result = opInvalidOp; | |||
3917 | // For consistency, propagate the sign of the sNaN to the qNaN. | |||
3918 | makeNaN(false, isNegative(), nullptr); | |||
3919 | } | |||
3920 | break; | |||
3921 | case fcZero: | |||
3922 | // nextUp(pm 0) = +getSmallest() | |||
3923 | makeSmallest(false); | |||
3924 | break; | |||
3925 | case fcNormal: | |||
3926 | // nextUp(-getSmallest()) = -0 | |||
3927 | if (isSmallest() && isNegative()) { | |||
3928 | APInt::tcSet(significandParts(), 0, partCount()); | |||
3929 | category = fcZero; | |||
3930 | exponent = 0; | |||
3931 | break; | |||
3932 | } | |||
3933 | ||||
3934 | // nextUp(getLargest()) == INFINITY | |||
3935 | if (isLargest() && !isNegative()) { | |||
3936 | APInt::tcSet(significandParts(), 0, partCount()); | |||
3937 | category = fcInfinity; | |||
3938 | exponent = semantics->maxExponent + 1; | |||
3939 | break; | |||
3940 | } | |||
3941 | ||||
3942 | // nextUp(normal) == normal + inc. | |||
3943 | if (isNegative()) { | |||
3944 | // If we are negative, we need to decrement the significand. | |||
3945 | ||||
3946 | // We only cross a binade boundary that requires adjusting the exponent | |||
3947 | // if: | |||
3948 | // 1. exponent != semantics->minExponent. This implies we are not in the | |||
3949 | // smallest binade or are dealing with denormals. | |||
3950 | // 2. Our significand excluding the integral bit is all zeros. | |||
3951 | bool WillCrossBinadeBoundary = | |||
3952 | exponent != semantics->minExponent && isSignificandAllZeros(); | |||
3953 | ||||
3954 | // Decrement the significand. | |||
3955 | // | |||
3956 | // We always do this since: | |||
3957 | // 1. If we are dealing with a non-binade decrement, by definition we | |||
3958 | // just decrement the significand. | |||
3959 | // 2. If we are dealing with a normal -> normal binade decrement, since | |||
3960 | // we have an explicit integral bit the fact that all bits but the | |||
3961 | // integral bit are zero implies that subtracting one will yield a | |||
3962 | // significand with 0 integral bit and 1 in all other spots. Thus we | |||
3963 | // must just adjust the exponent and set the integral bit to 1. | |||
3964 | // 3. If we are dealing with a normal -> denormal binade decrement, | |||
3965 | // since we set the integral bit to 0 when we represent denormals, we | |||
3966 | // just decrement the significand. | |||
3967 | integerPart *Parts = significandParts(); | |||
3968 | APInt::tcDecrement(Parts, partCount()); | |||
3969 | ||||
3970 | if (WillCrossBinadeBoundary) { | |||
3971 | // Our result is a normal number. Do the following: | |||
3972 | // 1. Set the integral bit to 1. | |||
3973 | // 2. Decrement the exponent. | |||
3974 | APInt::tcSetBit(Parts, semantics->precision - 1); | |||
3975 | exponent--; | |||
3976 | } | |||
3977 | } else { | |||
3978 | // If we are positive, we need to increment the significand. | |||
3979 | ||||
3980 | // We only cross a binade boundary that requires adjusting the exponent if | |||
3981 | // the input is not a denormal and all of said input's significand bits | |||
3982 | // are set. If all of said conditions are true: clear the significand, set | |||
3983 | // the integral bit to 1, and increment the exponent. If we have a | |||
3984 | // denormal always increment since moving denormals and the numbers in the | |||
3985 | // smallest normal binade have the same exponent in our representation. | |||
3986 | bool WillCrossBinadeBoundary = !isDenormal() && isSignificandAllOnes(); | |||
3987 | ||||
3988 | if (WillCrossBinadeBoundary) { | |||
3989 | integerPart *Parts = significandParts(); | |||
3990 | APInt::tcSet(Parts, 0, partCount()); | |||
3991 | APInt::tcSetBit(Parts, semantics->precision - 1); | |||
3992 | assert(exponent != semantics->maxExponent &&((exponent != semantics->maxExponent && "We can not increment an exponent beyond the maxExponent allowed" " by the given floating point semantics.") ? static_cast< void> (0) : __assert_fail ("exponent != semantics->maxExponent && \"We can not increment an exponent beyond the maxExponent allowed\" \" by the given floating point semantics.\"" , "/build/llvm-toolchain-snapshot-11~++20200309111110+2c36c23f347/llvm/lib/Support/APFloat.cpp" , 3994, __PRETTY_FUNCTION__)) | |||
3993 | "We can not increment an exponent beyond the maxExponent allowed"((exponent != semantics->maxExponent && "We can not increment an exponent beyond the maxExponent allowed" " by the given floating point semantics.") ? static_cast< void> (0) : __assert_fail ("exponent != semantics->maxExponent && \"We can not increment an exponent beyond the maxExponent allowed\" \" by the given floating point semantics.\"" , "/build/llvm-toolchain-snapshot-11~++20200309111110+2c36c23f347/llvm/lib/Support/APFloat.cpp" , 3994, __PRETTY_FUNCTION__)) | |||
3994 | " by the given floating point semantics.")((exponent != semantics->maxExponent && "We can not increment an exponent beyond the maxExponent allowed" " by the given floating point semantics.") ? static_cast< void> (0) : __assert_fail ("exponent != semantics->maxExponent && \"We can not increment an exponent beyond the maxExponent allowed\" \" by the given floating point semantics.\"" , "/build/llvm-toolchain-snapshot-11~++20200309111110+2c36c23f347/llvm/lib/Support/APFloat.cpp" , 3994, __PRETTY_FUNCTION__)); | |||
3995 | exponent++; | |||
3996 | } else { | |||
3997 | incrementSignificand(); | |||
3998 | } | |||
3999 | } | |||
4000 | break; | |||
4001 | } | |||
4002 | ||||
4003 | // If we are performing nextDown, swap sign so we have -nextUp(-x) | |||
4004 | if (nextDown) | |||
4005 | changeSign(); | |||
4006 | ||||
4007 | return result; | |||
4008 | } | |||
4009 | ||||
4010 | void IEEEFloat::makeInf(bool Negative) { | |||
4011 | category = fcInfinity; | |||
4012 | sign = Negative; | |||
4013 | exponent = semantics->maxExponent + 1; | |||
4014 | APInt::tcSet(significandParts(), 0, partCount()); | |||
4015 | } | |||
4016 | ||||
4017 | void IEEEFloat::makeZero(bool Negative) { | |||
4018 | category = fcZero; | |||
4019 | sign = Negative; | |||
4020 | exponent = semantics->minExponent-1; | |||
4021 | APInt::tcSet(significandParts(), 0, partCount()); | |||
4022 | } | |||
4023 | ||||
4024 | void IEEEFloat::makeQuiet() { | |||
4025 | assert(isNaN())((isNaN()) ? static_cast<void> (0) : __assert_fail ("isNaN()" , "/build/llvm-toolchain-snapshot-11~++20200309111110+2c36c23f347/llvm/lib/Support/APFloat.cpp" , 4025, __PRETTY_FUNCTION__)); | |||
4026 | APInt::tcSetBit(significandParts(), semantics->precision - 2); | |||
4027 | } | |||
4028 | ||||
4029 | int ilogb(const IEEEFloat &Arg) { | |||
4030 | if (Arg.isNaN()) | |||
4031 | return IEEEFloat::IEK_NaN; | |||
4032 | if (Arg.isZero()) | |||
4033 | return IEEEFloat::IEK_Zero; | |||
4034 | if (Arg.isInfinity()) | |||
4035 | return IEEEFloat::IEK_Inf; | |||
4036 | if (!Arg.isDenormal()) | |||
4037 | return Arg.exponent; | |||
4038 | ||||
4039 | IEEEFloat Normalized(Arg); | |||
4040 | int SignificandBits = Arg.getSemantics().precision - 1; | |||
4041 | ||||
4042 | Normalized.exponent += SignificandBits; | |||
4043 | Normalized.normalize(IEEEFloat::rmNearestTiesToEven, lfExactlyZero); | |||
4044 | return Normalized.exponent - SignificandBits; | |||
4045 | } | |||
4046 | ||||
4047 | IEEEFloat scalbn(IEEEFloat X, int Exp, IEEEFloat::roundingMode RoundingMode) { | |||
4048 | auto MaxExp = X.getSemantics().maxExponent; | |||
4049 | auto MinExp = X.getSemantics().minExponent; | |||
4050 | ||||
4051 | // If Exp is wildly out-of-scale, simply adding it to X.exponent will | |||
4052 | // overflow; clamp it to a safe range before adding, but ensure that the range | |||
4053 | // is large enough that the clamp does not change the result. The range we | |||
4054 | // need to support is the difference between the largest possible exponent and | |||
4055 | // the normalized exponent of half the smallest denormal. | |||
4056 | ||||
4057 | int SignificandBits = X.getSemantics().precision - 1; | |||
4058 | int MaxIncrement = MaxExp - (MinExp - SignificandBits) + 1; | |||
4059 | ||||
4060 | // Clamp to one past the range ends to let normalize handle overlflow. | |||
4061 | X.exponent += std::min(std::max(Exp, -MaxIncrement - 1), MaxIncrement); | |||
4062 | X.normalize(RoundingMode, lfExactlyZero); | |||
4063 | if (X.isNaN()) | |||
4064 | X.makeQuiet(); | |||
4065 | return X; | |||
4066 | } | |||
4067 | ||||
4068 | IEEEFloat frexp(const IEEEFloat &Val, int &Exp, IEEEFloat::roundingMode RM) { | |||
4069 | Exp = ilogb(Val); | |||
4070 | ||||
4071 | // Quiet signalling nans. | |||
4072 | if (Exp == IEEEFloat::IEK_NaN) { | |||
4073 | IEEEFloat Quiet(Val); | |||
4074 | Quiet.makeQuiet(); | |||
4075 | return Quiet; | |||
4076 | } | |||
4077 | ||||
4078 | if (Exp == IEEEFloat::IEK_Inf) | |||
4079 | return Val; | |||
4080 | ||||
4081 | // 1 is added because frexp is defined to return a normalized fraction in | |||
4082 | // +/-[0.5, 1.0), rather than the usual +/-[1.0, 2.0). | |||
4083 | Exp = Exp == IEEEFloat::IEK_Zero ? 0 : Exp + 1; | |||
4084 | return scalbn(Val, -Exp, RM); | |||
4085 | } | |||
4086 | ||||
4087 | DoubleAPFloat::DoubleAPFloat(const fltSemantics &S) | |||
4088 | : Semantics(&S), | |||
4089 | Floats(new APFloat[2]{APFloat(semIEEEdouble), APFloat(semIEEEdouble)}) { | |||
4090 | assert(Semantics == &semPPCDoubleDouble)((Semantics == &semPPCDoubleDouble) ? static_cast<void > (0) : __assert_fail ("Semantics == &semPPCDoubleDouble" , "/build/llvm-toolchain-snapshot-11~++20200309111110+2c36c23f347/llvm/lib/Support/APFloat.cpp" , 4090, __PRETTY_FUNCTION__)); | |||
4091 | } | |||
4092 | ||||
4093 | DoubleAPFloat::DoubleAPFloat(const fltSemantics &S, uninitializedTag) | |||
4094 | : Semantics(&S), | |||
4095 | Floats(new APFloat[2]{APFloat(semIEEEdouble, uninitialized), | |||
4096 | APFloat(semIEEEdouble, uninitialized)}) { | |||
4097 | assert(Semantics == &semPPCDoubleDouble)((Semantics == &semPPCDoubleDouble) ? static_cast<void > (0) : __assert_fail ("Semantics == &semPPCDoubleDouble" , "/build/llvm-toolchain-snapshot-11~++20200309111110+2c36c23f347/llvm/lib/Support/APFloat.cpp" , 4097, __PRETTY_FUNCTION__)); | |||
4098 | } | |||
4099 | ||||
4100 | DoubleAPFloat::DoubleAPFloat(const fltSemantics &S, integerPart I) | |||
4101 | : Semantics(&S), Floats(new APFloat[2]{APFloat(semIEEEdouble, I), | |||
4102 | APFloat(semIEEEdouble)}) { | |||
4103 | assert(Semantics == &semPPCDoubleDouble)((Semantics == &semPPCDoubleDouble) ? static_cast<void > (0) : __assert_fail ("Semantics == &semPPCDoubleDouble" , "/build/llvm-toolchain-snapshot-11~++20200309111110+2c36c23f347/llvm/lib/Support/APFloat.cpp" , 4103, __PRETTY_FUNCTION__)); | |||
4104 | } | |||
4105 | ||||
4106 | DoubleAPFloat::DoubleAPFloat(const fltSemantics &S, const APInt &I) | |||
4107 | : Semantics(&S), | |||
4108 | Floats(new APFloat[2]{ | |||
4109 | APFloat(semIEEEdouble, APInt(64, I.getRawData()[0])), | |||
4110 | APFloat(semIEEEdouble, APInt(64, I.getRawData()[1]))}) { | |||
4111 | assert(Semantics == &semPPCDoubleDouble)((Semantics == &semPPCDoubleDouble) ? static_cast<void > (0) : __assert_fail ("Semantics == &semPPCDoubleDouble" , "/build/llvm-toolchain-snapshot-11~++20200309111110+2c36c23f347/llvm/lib/Support/APFloat.cpp" , 4111, __PRETTY_FUNCTION__)); | |||
4112 | } | |||
4113 | ||||
4114 | DoubleAPFloat::DoubleAPFloat(const fltSemantics &S, APFloat &&First, | |||
4115 | APFloat &&Second) | |||
4116 | : Semantics(&S), | |||
4117 | Floats(new APFloat[2]{std::move(First), std::move(Second)}) { | |||
4118 | assert(Semantics == &semPPCDoubleDouble)((Semantics == &semPPCDoubleDouble) ? static_cast<void > (0) : __assert_fail ("Semantics == &semPPCDoubleDouble" , "/build/llvm-toolchain-snapshot-11~++20200309111110+2c36c23f347/llvm/lib/Support/APFloat.cpp" , 4118, __PRETTY_FUNCTION__)); | |||
4119 | assert(&Floats[0].getSemantics() == &semIEEEdouble)((&Floats[0].getSemantics() == &semIEEEdouble) ? static_cast <void> (0) : __assert_fail ("&Floats[0].getSemantics() == &semIEEEdouble" , "/build/llvm-toolchain-snapshot-11~++20200309111110+2c36c23f347/llvm/lib/Support/APFloat.cpp" , 4119, __PRETTY_FUNCTION__)); | |||
4120 | assert(&Floats[1].getSemantics() == &semIEEEdouble)((&Floats[1].getSemantics() == &semIEEEdouble) ? static_cast <void> (0) : __assert_fail ("&Floats[1].getSemantics() == &semIEEEdouble" , "/build/llvm-toolchain-snapshot-11~++20200309111110+2c36c23f347/llvm/lib/Support/APFloat.cpp" , 4120, __PRETTY_FUNCTION__)); | |||
4121 | } | |||
4122 | ||||
4123 | DoubleAPFloat::DoubleAPFloat(const DoubleAPFloat &RHS) | |||
4124 | : Semantics(RHS.Semantics), | |||
4125 | Floats(RHS.Floats ? new APFloat[2]{APFloat(RHS.Floats[0]), | |||
4126 | APFloat(RHS.Floats[1])} | |||
4127 | : nullptr) { | |||
4128 | assert(Semantics == &semPPCDoubleDouble)((Semantics == &semPPCDoubleDouble) ? static_cast<void > (0) : __assert_fail ("Semantics == &semPPCDoubleDouble" , "/build/llvm-toolchain-snapshot-11~++20200309111110+2c36c23f347/llvm/lib/Support/APFloat.cpp" , 4128, __PRETTY_FUNCTION__)); | |||
4129 | } | |||
4130 | ||||
4131 | DoubleAPFloat::DoubleAPFloat(DoubleAPFloat &&RHS) | |||
4132 | : Semantics(RHS.Semantics), Floats(std::move(RHS.Floats)) { | |||
4133 | RHS.Semantics = &semBogus; | |||
4134 | assert(Semantics == &semPPCDoubleDouble)((Semantics == &semPPCDoubleDouble) ? static_cast<void > (0) : __assert_fail ("Semantics == &semPPCDoubleDouble" , "/build/llvm-toolchain-snapshot-11~++20200309111110+2c36c23f347/llvm/lib/Support/APFloat.cpp" , 4134, __PRETTY_FUNCTION__)); | |||
4135 | } | |||
4136 | ||||
4137 | DoubleAPFloat &DoubleAPFloat::operator=(const DoubleAPFloat &RHS) { | |||
4138 | if (Semantics == RHS.Semantics && RHS.Floats) { | |||
4139 | Floats[0] = RHS.Floats[0]; | |||
4140 | Floats[1] = RHS.Floats[1]; | |||
4141 | } else if (this != &RHS) { | |||
4142 | this->~DoubleAPFloat(); | |||
4143 | new (this) DoubleAPFloat(RHS); | |||
4144 | } | |||
4145 | return *this; | |||
4146 | } | |||
4147 | ||||
4148 | // Implement addition, subtraction, multiplication and division based on: | |||
4149 | // "Software for Doubled-Precision Floating-Point Computations", | |||
4150 | // by Seppo Linnainmaa, ACM TOMS vol 7 no 3, September 1981, pages 272-283. | |||
4151 | APFloat::opStatus DoubleAPFloat::addImpl(const APFloat &a, const APFloat &aa, | |||
4152 | const APFloat &c, const APFloat &cc, | |||
4153 | roundingMode RM) { | |||
4154 | int Status = opOK; | |||
4155 | APFloat z = a; | |||
4156 | Status |= z.add(c, RM); | |||
4157 | if (!z.isFinite()) { | |||
4158 | if (!z.isInfinity()) { | |||
4159 | Floats[0] = std::move(z); | |||
4160 | Floats[1].makeZero(/* Neg = */ false); | |||
4161 | return (opStatus)Status; | |||
4162 | } | |||
4163 | Status = opOK; | |||
4164 | auto AComparedToC = a.compareAbsoluteValue(c); | |||
4165 | z = cc; | |||
4166 | Status |= z.add(aa, RM); | |||
4167 | if (AComparedToC == APFloat::cmpGreaterThan) { | |||
4168 | // z = cc + aa + c + a; | |||
4169 | Status |= z.add(c, RM); | |||
4170 | Status |= z.add(a, RM); | |||
4171 | } else { | |||
4172 | // z = cc + aa + a + c; | |||
4173 | Status |= z.add(a, RM); | |||
4174 | Status |= z.add(c, RM); | |||
4175 | } | |||
4176 | if (!z.isFinite()) { | |||
4177 | Floats[0] = std::move(z); | |||
4178 | Floats[1].makeZero(/* Neg = */ false); | |||
4179 | return (opStatus)Status; | |||
4180 | } | |||
4181 | Floats[0] = z; | |||
4182 | APFloat zz = aa; | |||
4183 | Status |= zz.add(cc, RM); | |||
4184 | if (AComparedToC == APFloat::cmpGreaterThan) { | |||
4185 | // Floats[1] = a - z + c + zz; | |||
4186 | Floats[1] = a; | |||
4187 | Status |= Floats[1].subtract(z, RM); | |||
4188 | Status |= Floats[1].add(c, RM); | |||
4189 | Status |= Floats[1].add(zz, RM); | |||
4190 | } else { | |||
4191 | // Floats[1] = c - z + a + zz; | |||
4192 | Floats[1] = c; | |||
4193 | Status |= Floats[1].subtract(z, RM); | |||
4194 | Status |= Floats[1].add(a, RM); | |||
4195 | Status |= Floats[1].add(zz, RM); | |||
4196 | } | |||
4197 | } else { | |||
4198 | // q = a - z; | |||
4199 | APFloat q = a; | |||
4200 | Status |= q.subtract(z, RM); | |||
4201 | ||||
4202 | // zz = q + c + (a - (q + z)) + aa + cc; | |||
4203 | // Compute a - (q + z) as -((q + z) - a) to avoid temporary copies. | |||
4204 | auto zz = q; | |||
4205 | Status |= zz.add(c, RM); | |||
4206 | Status |= q.add(z, RM); | |||
4207 | Status |= q.subtract(a, RM); | |||
4208 | q.changeSign(); | |||
4209 | Status |= zz.add(q, RM); | |||
4210 | Status |= zz.add(aa, RM); | |||
4211 | Status |= zz.add(cc, RM); | |||
4212 | if (zz.isZero() && !zz.isNegative()) { | |||
4213 | Floats[0] = std::move(z); | |||
4214 | Floats[1].makeZero(/* Neg = */ false); | |||
4215 | return opOK; | |||
4216 | } | |||
4217 | Floats[0] = z; | |||
4218 | Status |= Floats[0].add(zz, RM); | |||
4219 | if (!Floats[0].isFinite()) { | |||
4220 | Floats[1].makeZero(/* Neg = */ false); | |||
4221 | return (opStatus)Status; | |||
4222 | } | |||
4223 | Floats[1] = std::move(z); | |||
4224 | Status |= Floats[1].subtract(Floats[0], RM); | |||
4225 | Status |= Floats[1].add(zz, RM); | |||
4226 | } | |||
4227 | return (opStatus)Status; | |||
4228 | } | |||
4229 | ||||
4230 | APFloat::opStatus DoubleAPFloat::addWithSpecial(const DoubleAPFloat &LHS, | |||
4231 | const DoubleAPFloat &RHS, | |||
4232 | DoubleAPFloat &Out, | |||
4233 | roundingMode RM) { | |||
4234 | if (LHS.getCategory() == fcNaN) { | |||
4235 | Out = LHS; | |||
4236 | return opOK; | |||
4237 | } | |||
4238 | if (RHS.getCategory() == fcNaN) { | |||
4239 | Out = RHS; | |||
4240 | return opOK; | |||
4241 | } | |||
4242 | if (LHS.getCategory() == fcZero) { | |||
4243 | Out = RHS; | |||
4244 | return opOK; | |||
4245 | } | |||
4246 | if (RHS.getCategory() == fcZero) { | |||
4247 | Out = LHS; | |||
4248 | return opOK; | |||
4249 | } | |||
4250 | if (LHS.getCategory() == fcInfinity && RHS.getCategory() == fcInfinity && | |||
4251 | LHS.isNegative() != RHS.isNegative()) { | |||
4252 | Out.makeNaN(false, Out.isNegative(), nullptr); | |||
4253 | return opInvalidOp; | |||
4254 | } | |||
4255 | if (LHS.getCategory() == fcInfinity) { | |||
4256 | Out = LHS; | |||
4257 | return opOK; | |||
4258 | } | |||
4259 | if (RHS.getCategory() == fcInfinity) { | |||
4260 | Out = RHS; | |||
4261 | return opOK; | |||
4262 | } | |||
4263 | assert(LHS.getCategory() == fcNormal && RHS.getCategory() == fcNormal)((LHS.getCategory() == fcNormal && RHS.getCategory() == fcNormal) ? static_cast<void> (0) : __assert_fail ("LHS.getCategory() == fcNormal && RHS.getCategory() == fcNormal" , "/build/llvm-toolchain-snapshot-11~++20200309111110+2c36c23f347/llvm/lib/Support/APFloat.cpp" , 4263, __PRETTY_FUNCTION__)); | |||
4264 | ||||
4265 | APFloat A(LHS.Floats[0]), AA(LHS.Floats[1]), C(RHS.Floats[0]), | |||
4266 | CC(RHS.Floats[1]); | |||
4267 | assert(&A.getSemantics() == &semIEEEdouble)((&A.getSemantics() == &semIEEEdouble) ? static_cast< void> (0) : __assert_fail ("&A.getSemantics() == &semIEEEdouble" , "/build/llvm-toolchain-snapshot-11~++20200309111110+2c36c23f347/llvm/lib/Support/APFloat.cpp" , 4267, __PRETTY_FUNCTION__)); | |||
4268 | assert(&AA.getSemantics() == &semIEEEdouble)((&AA.getSemantics() == &semIEEEdouble) ? static_cast <void> (0) : __assert_fail ("&AA.getSemantics() == &semIEEEdouble" , "/build/llvm-toolchain-snapshot-11~++20200309111110+2c36c23f347/llvm/lib/Support/APFloat.cpp" , 4268, __PRETTY_FUNCTION__)); | |||
4269 | assert(&C.getSemantics() == &semIEEEdouble)((&C.getSemantics() == &semIEEEdouble) ? static_cast< void> (0) : __assert_fail ("&C.getSemantics() == &semIEEEdouble" , "/build/llvm-toolchain-snapshot-11~++20200309111110+2c36c23f347/llvm/lib/Support/APFloat.cpp" , 4269, __PRETTY_FUNCTION__)); | |||
4270 | assert(&CC.getSemantics() == &semIEEEdouble)((&CC.getSemantics() == &semIEEEdouble) ? static_cast <void> (0) : __assert_fail ("&CC.getSemantics() == &semIEEEdouble" , "/build/llvm-toolchain-snapshot-11~++20200309111110+2c36c23f347/llvm/lib/Support/APFloat.cpp" , 4270, __PRETTY_FUNCTION__)); | |||
4271 | assert(&Out.Floats[0].getSemantics() == &semIEEEdouble)((&Out.Floats[0].getSemantics() == &semIEEEdouble) ? static_cast <void> (0) : __assert_fail ("&Out.Floats[0].getSemantics() == &semIEEEdouble" , "/build/llvm-toolchain-snapshot-11~++20200309111110+2c36c23f347/llvm/lib/Support/APFloat.cpp" , 4271, __PRETTY_FUNCTION__)); | |||
4272 | assert(&Out.Floats[1].getSemantics() == &semIEEEdouble)((&Out.Floats[1].getSemantics() == &semIEEEdouble) ? static_cast <void> (0) : __assert_fail ("&Out.Floats[1].getSemantics() == &semIEEEdouble" , "/build/llvm-toolchain-snapshot-11~++20200309111110+2c36c23f347/llvm/lib/Support/APFloat.cpp" , 4272, __PRETTY_FUNCTION__)); | |||
4273 | return Out.addImpl(A, AA, C, CC, RM); | |||
4274 | } | |||
4275 | ||||
4276 | APFloat::opStatus DoubleAPFloat::add(const DoubleAPFloat &RHS, | |||
4277 | roundingMode RM) { | |||
4278 | return addWithSpecial(*this, RHS, *this, RM); | |||
4279 | } | |||
4280 | ||||
4281 | APFloat::opStatus DoubleAPFloat::subtract(const DoubleAPFloat &RHS, | |||
4282 | roundingMode RM) { | |||
4283 | changeSign(); | |||
4284 | auto Ret = add(RHS, RM); | |||
4285 | changeSign(); | |||
4286 | return Ret; | |||
4287 | } | |||
4288 | ||||
4289 | APFloat::opStatus DoubleAPFloat::multiply(const DoubleAPFloat &RHS, | |||
4290 | APFloat::roundingMode RM) { | |||
4291 | const auto &LHS = *this; | |||
4292 | auto &Out = *this; | |||
4293 | /* Interesting observation: For special categories, finding the lowest | |||
4294 | common ancestor of the following layered graph gives the correct | |||
4295 | return category: | |||
4296 | ||||
4297 | NaN | |||
4298 | / \ | |||
4299 | Zero Inf | |||
4300 | \ / | |||
4301 | Normal | |||
4302 | ||||
4303 | e.g. NaN * NaN = NaN | |||
4304 | Zero * Inf = NaN | |||
4305 | Normal * Zero = Zero | |||
4306 | Normal * Inf = Inf | |||
4307 | */ | |||
4308 | if (LHS.getCategory() == fcNaN) { | |||
4309 | Out = LHS; | |||
4310 | return opOK; | |||
4311 | } | |||
4312 | if (RHS.getCategory() == fcNaN) { | |||
4313 | Out = RHS; | |||
4314 | return opOK; | |||
4315 | } | |||
4316 | if ((LHS.getCategory() == fcZero && RHS.getCategory() == fcInfinity) || | |||
4317 | (LHS.getCategory() == fcInfinity && RHS.getCategory() == fcZero)) { | |||
4318 | Out.makeNaN(false, false, nullptr); | |||
4319 | return opOK; | |||
4320 | } | |||
4321 | if (LHS.getCategory() == fcZero || LHS.getCategory() == fcInfinity) { | |||
4322 | Out = LHS; | |||
4323 | return opOK; | |||
4324 | } | |||
4325 | if (RHS.getCategory() == fcZero || RHS.getCategory() == fcInfinity) { | |||
4326 | Out = RHS; | |||
4327 | return opOK; | |||
4328 | } | |||
4329 | assert(LHS.getCategory() == fcNormal && RHS.getCategory() == fcNormal &&((LHS.getCategory() == fcNormal && RHS.getCategory() == fcNormal && "Special cases not handled exhaustively" ) ? static_cast<void> (0) : __assert_fail ("LHS.getCategory() == fcNormal && RHS.getCategory() == fcNormal && \"Special cases not handled exhaustively\"" , "/build/llvm-toolchain-snapshot-11~++20200309111110+2c36c23f347/llvm/lib/Support/APFloat.cpp" , 4330, __PRETTY_FUNCTION__)) | |||
4330 | "Special cases not handled exhaustively")((LHS.getCategory() == fcNormal && RHS.getCategory() == fcNormal && "Special cases not handled exhaustively" ) ? static_cast<void> (0) : __assert_fail ("LHS.getCategory() == fcNormal && RHS.getCategory() == fcNormal && \"Special cases not handled exhaustively\"" , "/build/llvm-toolchain-snapshot-11~++20200309111110+2c36c23f347/llvm/lib/Support/APFloat.cpp" , 4330, __PRETTY_FUNCTION__)); | |||
4331 | ||||
4332 | int Status = opOK; | |||
4333 | APFloat A = Floats[0], B = Floats[1], C = RHS.Floats[0], D = RHS.Floats[1]; | |||
4334 | // t = a * c | |||
4335 | APFloat T = A; | |||
4336 | Status |= T.multiply(C, RM); | |||
4337 | if (!T.isFiniteNonZero()) { | |||
4338 | Floats[0] = T; | |||
4339 | Floats[1].makeZero(/* Neg = */ false); | |||
4340 | return (opStatus)Status; | |||
4341 | } | |||
4342 | ||||
4343 | // tau = fmsub(a, c, t), that is -fmadd(-a, c, t). | |||
4344 | APFloat Tau = A; | |||
4345 | T.changeSign(); | |||
4346 | Status |= Tau.fusedMultiplyAdd(C, T, RM); | |||
4347 | T.changeSign(); | |||
4348 | { | |||
4349 | // v = a * d | |||
4350 | APFloat V = A; | |||
4351 | Status |= V.multiply(D, RM); | |||
4352 | // w = b * c | |||
4353 | APFloat W = B; | |||
4354 | Status |= W.multiply(C, RM); | |||
4355 | Status |= V.add(W, RM); | |||
4356 | // tau += v + w | |||
4357 | Status |= Tau.add(V, RM); | |||
4358 | } | |||
4359 | // u = t + tau | |||
4360 | APFloat U = T; | |||
4361 | Status |= U.add(Tau, RM); | |||
4362 | ||||
4363 | Floats[0] = U; | |||
4364 | if (!U.isFinite()) { | |||
4365 | Floats[1].makeZero(/* Neg = */ false); | |||
4366 | } else { | |||
4367 | // Floats[1] = (t - u) + tau | |||
4368 | Status |= T.subtract(U, RM); | |||
4369 | Status |= T.add(Tau, RM); | |||
4370 | Floats[1] = T; | |||
4371 | } | |||
4372 | return (opStatus)Status; | |||
4373 | } | |||
4374 | ||||
4375 | APFloat::opStatus DoubleAPFloat::divide(const DoubleAPFloat &RHS, | |||
4376 | APFloat::roundingMode RM) { | |||
4377 | assert(Semantics == &semPPCDoubleDouble && "Unexpected Semantics")((Semantics == &semPPCDoubleDouble && "Unexpected Semantics" ) ? static_cast<void> (0) : __assert_fail ("Semantics == &semPPCDoubleDouble && \"Unexpected Semantics\"" , "/build/llvm-toolchain-snapshot-11~++20200309111110+2c36c23f347/llvm/lib/Support/APFloat.cpp" , 4377, __PRETTY_FUNCTION__)); | |||
4378 | APFloat Tmp(semPPCDoubleDoubleLegacy, bitcastToAPInt()); | |||
4379 | auto Ret = | |||
4380 | Tmp.divide(APFloat(semPPCDoubleDoubleLegacy, RHS.bitcastToAPInt()), RM); | |||
4381 | *this = DoubleAPFloat(semPPCDoubleDouble, Tmp.bitcastToAPInt()); | |||
4382 | return Ret; | |||
4383 | } | |||
4384 | ||||
4385 | APFloat::opStatus DoubleAPFloat::remainder(const DoubleAPFloat &RHS) { | |||
4386 | assert(Semantics == &semPPCDoubleDouble && "Unexpected Semantics")((Semantics == &semPPCDoubleDouble && "Unexpected Semantics" ) ? static_cast<void> (0) : __assert_fail ("Semantics == &semPPCDoubleDouble && \"Unexpected Semantics\"" , "/build/llvm-toolchain-snapshot-11~++20200309111110+2c36c23f347/llvm/lib/Support/APFloat.cpp" , 4386, __PRETTY_FUNCTION__)); | |||
4387 | APFloat Tmp(semPPCDoubleDoubleLegacy, bitcastToAPInt()); | |||
4388 | auto Ret = | |||
4389 | Tmp.remainder(APFloat(semPPCDoubleDoubleLegacy, RHS.bitcastToAPInt())); | |||
4390 | *this = DoubleAPFloat(semPPCDoubleDouble, Tmp.bitcastToAPInt()); | |||
4391 | return Ret; | |||
4392 | } | |||
4393 | ||||
4394 | APFloat::opStatus DoubleAPFloat::mod(const DoubleAPFloat &RHS) { | |||
4395 | assert(Semantics == &semPPCDoubleDouble && "Unexpected Semantics")((Semantics == &semPPCDoubleDouble && "Unexpected Semantics" ) ? static_cast<void> (0) : __assert_fail ("Semantics == &semPPCDoubleDouble && \"Unexpected Semantics\"" , "/build/llvm-toolchain-snapshot-11~++20200309111110+2c36c23f347/llvm/lib/Support/APFloat.cpp" , 4395, __PRETTY_FUNCTION__)); | |||
4396 | APFloat Tmp(semPPCDoubleDoubleLegacy, bitcastToAPInt()); | |||
4397 | auto Ret = Tmp.mod(APFloat(semPPCDoubleDoubleLegacy, RHS.bitcastToAPInt())); | |||
4398 | *this = DoubleAPFloat(semPPCDoubleDouble, Tmp.bitcastToAPInt()); | |||
4399 | return Ret; | |||
4400 | } | |||
4401 | ||||
4402 | APFloat::opStatus | |||
4403 | DoubleAPFloat::fusedMultiplyAdd(const DoubleAPFloat &Multiplicand, | |||
4404 | const DoubleAPFloat &Addend, | |||
4405 | APFloat::roundingMode RM) { | |||
4406 | assert(Semantics == &semPPCDoubleDouble && "Unexpected Semantics")((Semantics == &semPPCDoubleDouble && "Unexpected Semantics" ) ? static_cast<void> (0) : __assert_fail ("Semantics == &semPPCDoubleDouble && \"Unexpected Semantics\"" , "/build/llvm-toolchain-snapshot-11~++20200309111110+2c36c23f347/llvm/lib/Support/APFloat.cpp" , 4406, __PRETTY_FUNCTION__)); | |||
4407 | APFloat Tmp(semPPCDoubleDoubleLegacy, bitcastToAPInt()); | |||
4408 | auto Ret = Tmp.fusedMultiplyAdd( | |||
4409 | APFloat(semPPCDoubleDoubleLegacy, Multiplicand.bitcastToAPInt()), | |||
4410 | APFloat(semPPCDoubleDoubleLegacy, Addend.bitcastToAPInt()), RM); | |||
4411 | *this = DoubleAPFloat(semPPCDoubleDouble, Tmp.bitcastToAPInt()); | |||
4412 | return Ret; | |||
4413 | } | |||
4414 | ||||
4415 | APFloat::opStatus DoubleAPFloat::roundToIntegral(APFloat::roundingMode RM) { | |||
4416 | assert(Semantics == &semPPCDoubleDouble && "Unexpected Semantics")((Semantics == &semPPCDoubleDouble && "Unexpected Semantics" ) ? static_cast<void> (0) : __assert_fail ("Semantics == &semPPCDoubleDouble && \"Unexpected Semantics\"" , "/build/llvm-toolchain-snapshot-11~++20200309111110+2c36c23f347/llvm/lib/Support/APFloat.cpp" , 4416, __PRETTY_FUNCTION__)); | |||
4417 | APFloat Tmp(semPPCDoubleDoubleLegacy, bitcastToAPInt()); | |||
4418 | auto Ret = Tmp.roundToIntegral(RM); | |||
4419 | *this = DoubleAPFloat(semPPCDoubleDouble, Tmp.bitcastToAPInt()); | |||
4420 | return Ret; | |||
4421 | } | |||
4422 | ||||
4423 | void DoubleAPFloat::changeSign() { | |||
4424 | Floats[0].changeSign(); | |||
4425 | Floats[1].changeSign(); | |||
4426 | } | |||
4427 | ||||
4428 | APFloat::cmpResult | |||
4429 | DoubleAPFloat::compareAbsoluteValue(const DoubleAPFloat &RHS) const { | |||
4430 | auto Result = Floats[0].compareAbsoluteValue(RHS.Floats[0]); | |||
4431 | if (Result != cmpEqual) | |||
4432 | return Result; | |||
4433 | Result = Floats[1].compareAbsoluteValue(RHS.Floats[1]); | |||
4434 | if (Result == cmpLessThan || Result == cmpGreaterThan) { | |||
4435 | auto Against = Floats[0].isNegative() ^ Floats[1].isNegative(); | |||
4436 | auto RHSAgainst = RHS.Floats[0].isNegative() ^ RHS.Floats[1].isNegative(); | |||
4437 | if (Against && !RHSAgainst) | |||
4438 | return cmpLessThan; | |||
4439 | if (!Against && RHSAgainst) | |||
4440 | return cmpGreaterThan; | |||
4441 | if (!Against && !RHSAgainst) | |||
4442 | return Result; | |||
4443 | if (Against && RHSAgainst) | |||
4444 | return (cmpResult)(cmpLessThan + cmpGreaterThan - Result); | |||
4445 | } | |||
4446 | return Result; | |||
4447 | } | |||
4448 | ||||
4449 | APFloat::fltCategory DoubleAPFloat::getCategory() const { | |||
4450 | return Floats[0].getCategory(); | |||
4451 | } | |||
4452 | ||||
4453 | bool DoubleAPFloat::isNegative() const { return Floats[0].isNegative(); } | |||
4454 | ||||
4455 | void DoubleAPFloat::makeInf(bool Neg) { | |||
4456 | Floats[0].makeInf(Neg); | |||
4457 | Floats[1].makeZero(/* Neg = */ false); | |||
4458 | } | |||
4459 | ||||
4460 | void DoubleAPFloat::makeZero(bool Neg) { | |||
4461 | Floats[0].makeZero(Neg); | |||
4462 | Floats[1].makeZero(/* Neg = */ false); | |||
4463 | } | |||
4464 | ||||
4465 | void DoubleAPFloat::makeLargest(bool Neg) { | |||
4466 | assert(Semantics == &semPPCDoubleDouble && "Unexpected Semantics")((Semantics == &semPPCDoubleDouble && "Unexpected Semantics" ) ? static_cast<void> (0) : __assert_fail ("Semantics == &semPPCDoubleDouble && \"Unexpected Semantics\"" , "/build/llvm-toolchain-snapshot-11~++20200309111110+2c36c23f347/llvm/lib/Support/APFloat.cpp" , 4466, __PRETTY_FUNCTION__)); | |||
4467 | Floats[0] = APFloat(semIEEEdouble, APInt(64, 0x7fefffffffffffffull)); | |||
4468 | Floats[1] = APFloat(semIEEEdouble, APInt(64, 0x7c8ffffffffffffeull)); | |||
4469 | if (Neg) | |||
4470 | changeSign(); | |||
4471 | } | |||
4472 | ||||
4473 | void DoubleAPFloat::makeSmallest(bool Neg) { | |||
4474 | assert(Semantics == &semPPCDoubleDouble && "Unexpected Semantics")((Semantics == &semPPCDoubleDouble && "Unexpected Semantics" ) ? static_cast<void> (0) : __assert_fail ("Semantics == &semPPCDoubleDouble && \"Unexpected Semantics\"" , "/build/llvm-toolchain-snapshot-11~++20200309111110+2c36c23f347/llvm/lib/Support/APFloat.cpp" , 4474, __PRETTY_FUNCTION__)); | |||
4475 | Floats[0].makeSmallest(Neg); | |||
4476 | Floats[1].makeZero(/* Neg = */ false); | |||
4477 | } | |||
4478 | ||||
4479 | void DoubleAPFloat::makeSmallestNormalized(bool Neg) { | |||
4480 | assert(Semantics == &semPPCDoubleDouble && "Unexpected Semantics")((Semantics == &semPPCDoubleDouble && "Unexpected Semantics" ) ? static_cast<void> (0) : __assert_fail ("Semantics == &semPPCDoubleDouble && \"Unexpected Semantics\"" , "/build/llvm-toolchain-snapshot-11~++20200309111110+2c36c23f347/llvm/lib/Support/APFloat.cpp" , 4480, __PRETTY_FUNCTION__)); | |||
4481 | Floats[0] = APFloat(semIEEEdouble, APInt(64, 0x0360000000000000ull)); | |||
4482 | if (Neg) | |||
4483 | Floats[0].changeSign(); | |||
4484 | Floats[1].makeZero(/* Neg = */ false); | |||
4485 | } | |||
4486 | ||||
4487 | void DoubleAPFloat::makeNaN(bool SNaN, bool Neg, const APInt *fill) { | |||
4488 | Floats[0].makeNaN(SNaN, Neg, fill); | |||
4489 | Floats[1].makeZero(/* Neg = */ false); | |||
4490 | } | |||
4491 | ||||
4492 | APFloat::cmpResult DoubleAPFloat::compare(const DoubleAPFloat &RHS) const { | |||
4493 | auto Result = Floats[0].compare(RHS.Floats[0]); | |||
4494 | // |Float[0]| > |Float[1]| | |||
4495 | if (Result == APFloat::cmpEqual) | |||
4496 | return Floats[1].compare(RHS.Floats[1]); | |||
4497 | return Result; | |||
4498 | } | |||
4499 | ||||
4500 | bool DoubleAPFloat::bitwiseIsEqual(const DoubleAPFloat &RHS) const { | |||
4501 | return Floats[0].bitwiseIsEqual(RHS.Floats[0]) && | |||
4502 | Floats[1].bitwiseIsEqual(RHS.Floats[1]); | |||
4503 | } | |||
4504 | ||||
4505 | hash_code hash_value(const DoubleAPFloat &Arg) { | |||
4506 | if (Arg.Floats) | |||
4507 | return hash_combine(hash_value(Arg.Floats[0]), hash_value(Arg.Floats[1])); | |||
4508 | return hash_combine(Arg.Semantics); | |||
4509 | } | |||
4510 | ||||
4511 | APInt DoubleAPFloat::bitcastToAPInt() const { | |||
4512 | assert(Semantics == &semPPCDoubleDouble && "Unexpected Semantics")((Semantics == &semPPCDoubleDouble && "Unexpected Semantics" ) ? static_cast<void> (0) : __assert_fail ("Semantics == &semPPCDoubleDouble && \"Unexpected Semantics\"" , "/build/llvm-toolchain-snapshot-11~++20200309111110+2c36c23f347/llvm/lib/Support/APFloat.cpp" , 4512, __PRETTY_FUNCTION__)); | |||
4513 | uint64_t Data[] = { | |||
4514 | Floats[0].bitcastToAPInt().getRawData()[0], | |||
4515 | Floats[1].bitcastToAPInt().getRawData()[0], | |||
4516 | }; | |||
4517 | return APInt(128, 2, Data); | |||
4518 | } | |||
4519 | ||||
4520 | Expected<APFloat::opStatus> DoubleAPFloat::convertFromString(StringRef S, | |||
4521 | roundingMode RM) { | |||
4522 | assert(Semantics == &semPPCDoubleDouble && "Unexpected Semantics")((Semantics == &semPPCDoubleDouble && "Unexpected Semantics" ) ? static_cast<void> (0) : __assert_fail ("Semantics == &semPPCDoubleDouble && \"Unexpected Semantics\"" , "/build/llvm-toolchain-snapshot-11~++20200309111110+2c36c23f347/llvm/lib/Support/APFloat.cpp" , 4522, __PRETTY_FUNCTION__)); | |||
4523 | APFloat Tmp(semPPCDoubleDoubleLegacy); | |||
4524 | auto Ret = Tmp.convertFromString(S, RM); | |||
4525 | *this = DoubleAPFloat(semPPCDoubleDouble, Tmp.bitcastToAPInt()); | |||
4526 | return Ret; | |||
4527 | } | |||
4528 | ||||
4529 | APFloat::opStatus DoubleAPFloat::next(bool nextDown) { | |||
4530 | assert(Semantics == &semPPCDoubleDouble && "Unexpected Semantics")((Semantics == &semPPCDoubleDouble && "Unexpected Semantics" ) ? static_cast<void> (0) : __assert_fail ("Semantics == &semPPCDoubleDouble && \"Unexpected Semantics\"" , "/build/llvm-toolchain-snapshot-11~++20200309111110+2c36c23f347/llvm/lib/Support/APFloat.cpp" , 4530, __PRETTY_FUNCTION__)); | |||
4531 | APFloat Tmp(semPPCDoubleDoubleLegacy, bitcastToAPInt()); | |||
4532 | auto Ret = Tmp.next(nextDown); | |||
4533 | *this = DoubleAPFloat(semPPCDoubleDouble, Tmp.bitcastToAPInt()); | |||
4534 | return Ret; | |||
4535 | } | |||
4536 | ||||
4537 | APFloat::opStatus | |||
4538 | DoubleAPFloat::convertToInteger(MutableArrayRef<integerPart> Input, | |||
4539 | unsigned int Width, bool IsSigned, | |||
4540 | roundingMode RM, bool *IsExact) const { | |||
4541 | assert(Semantics == &semPPCDoubleDouble && "Unexpected Semantics")((Semantics == &semPPCDoubleDouble && "Unexpected Semantics" ) ? static_cast<void> (0) : __assert_fail ("Semantics == &semPPCDoubleDouble && \"Unexpected Semantics\"" , "/build/llvm-toolchain-snapshot-11~++20200309111110+2c36c23f347/llvm/lib/Support/APFloat.cpp" , 4541, __PRETTY_FUNCTION__)); | |||
4542 | return APFloat(semPPCDoubleDoubleLegacy, bitcastToAPInt()) | |||
4543 | .convertToInteger(Input, Width, IsSigned, RM, IsExact); | |||
4544 | } | |||
4545 | ||||
4546 | APFloat::opStatus DoubleAPFloat::convertFromAPInt(const APInt &Input, | |||
4547 | bool IsSigned, | |||
4548 | roundingMode RM) { | |||
4549 | assert(Semantics == &semPPCDoubleDouble && "Unexpected Semantics")((Semantics == &semPPCDoubleDouble && "Unexpected Semantics" ) ? static_cast<void> (0) : __assert_fail ("Semantics == &semPPCDoubleDouble && \"Unexpected Semantics\"" , "/build/llvm-toolchain-snapshot-11~++20200309111110+2c36c23f347/llvm/lib/Support/APFloat.cpp" , 4549, __PRETTY_FUNCTION__)); | |||
4550 | APFloat Tmp(semPPCDoubleDoubleLegacy); | |||
4551 | auto Ret = Tmp.convertFromAPInt(Input, IsSigned, RM); | |||
4552 | *this = DoubleAPFloat(semPPCDoubleDouble, Tmp.bitcastToAPInt()); | |||
4553 | return Ret; | |||
4554 | } | |||
4555 | ||||
4556 | APFloat::opStatus | |||
4557 | DoubleAPFloat::convertFromSignExtendedInteger(const integerPart *Input, | |||
4558 | unsigned int InputSize, | |||
4559 | bool IsSigned, roundingMode RM) { | |||
4560 | assert(Semantics == &semPPCDoubleDouble && "Unexpected Semantics")((Semantics == &semPPCDoubleDouble && "Unexpected Semantics" ) ? static_cast<void> (0) : __assert_fail ("Semantics == &semPPCDoubleDouble && \"Unexpected Semantics\"" , "/build/llvm-toolchain-snapshot-11~++20200309111110+2c36c23f347/llvm/lib/Support/APFloat.cpp" , 4560, __PRETTY_FUNCTION__)); | |||
4561 | APFloat Tmp(semPPCDoubleDoubleLegacy); | |||
4562 | auto Ret = Tmp.convertFromSignExtendedInteger(Input, InputSize, IsSigned, RM); | |||
4563 | *this = DoubleAPFloat(semPPCDoubleDouble, Tmp.bitcastToAPInt()); | |||
4564 | return Ret; | |||
4565 | } | |||
4566 | ||||
4567 | APFloat::opStatus | |||
4568 | DoubleAPFloat::convertFromZeroExtendedInteger(const integerPart *Input, | |||
4569 | unsigned int InputSize, | |||
4570 | bool IsSigned, roundingMode RM) { | |||
4571 | assert(Semantics == &semPPCDoubleDouble && "Unexpected Semantics")((Semantics == &semPPCDoubleDouble && "Unexpected Semantics" ) ? static_cast<void> (0) : __assert_fail ("Semantics == &semPPCDoubleDouble && \"Unexpected Semantics\"" , "/build/llvm-toolchain-snapshot-11~++20200309111110+2c36c23f347/llvm/lib/Support/APFloat.cpp" , 4571, __PRETTY_FUNCTION__)); | |||
4572 | APFloat Tmp(semPPCDoubleDoubleLegacy); | |||
4573 | auto Ret = Tmp.convertFromZeroExtendedInteger(Input, InputSize, IsSigned, RM); | |||
4574 | *this = DoubleAPFloat(semPPCDoubleDouble, Tmp.bitcastToAPInt()); | |||
4575 | return Ret; | |||
4576 | } | |||
4577 | ||||
4578 | unsigned int DoubleAPFloat::convertToHexString(char *DST, | |||
4579 | unsigned int HexDigits, | |||
4580 | bool UpperCase, | |||
4581 | roundingMode RM) const { | |||
4582 | assert(Semantics == &semPPCDoubleDouble && "Unexpected Semantics")((Semantics == &semPPCDoubleDouble && "Unexpected Semantics" ) ? static_cast<void> (0) : __assert_fail ("Semantics == &semPPCDoubleDouble && \"Unexpected Semantics\"" , "/build/llvm-toolchain-snapshot-11~++20200309111110+2c36c23f347/llvm/lib/Support/APFloat.cpp" , 4582, __PRETTY_FUNCTION__)); | |||
4583 | return APFloat(semPPCDoubleDoubleLegacy, bitcastToAPInt()) | |||
4584 | .convertToHexString(DST, HexDigits, UpperCase, RM); | |||
4585 | } | |||
4586 | ||||
4587 | bool DoubleAPFloat::isDenormal() const { | |||
4588 | return getCategory() == fcNormal && | |||
4589 | (Floats[0].isDenormal() || Floats[1].isDenormal() || | |||
4590 | // (double)(Hi + Lo) == Hi defines a normal number. | |||
4591 | Floats[0] != Floats[0] + Floats[1]); | |||
4592 | } | |||
4593 | ||||
4594 | bool DoubleAPFloat::isSmallest() const { | |||
4595 | if (getCategory() != fcNormal) | |||
4596 | return false; | |||
4597 | DoubleAPFloat Tmp(*this); | |||
4598 | Tmp.makeSmallest(this->isNegative()); | |||
4599 | return Tmp.compare(*this) == cmpEqual; | |||
4600 | } | |||
4601 | ||||
4602 | bool DoubleAPFloat::isLargest() const { | |||
4603 | if (getCategory() != fcNormal) | |||
4604 | return false; | |||
4605 | DoubleAPFloat Tmp(*this); | |||
4606 | Tmp.makeLargest(this->isNegative()); | |||
4607 | return Tmp.compare(*this) == cmpEqual; | |||
4608 | } | |||
4609 | ||||
4610 | bool DoubleAPFloat::isInteger() const { | |||
4611 | assert(Semantics == &semPPCDoubleDouble && "Unexpected Semantics")((Semantics == &semPPCDoubleDouble && "Unexpected Semantics" ) ? static_cast<void> (0) : __assert_fail ("Semantics == &semPPCDoubleDouble && \"Unexpected Semantics\"" , "/build/llvm-toolchain-snapshot-11~++20200309111110+2c36c23f347/llvm/lib/Support/APFloat.cpp" , 4611, __PRETTY_FUNCTION__)); | |||
4612 | return Floats[0].isInteger() && Floats[1].isInteger(); | |||
4613 | } | |||
4614 | ||||
4615 | void DoubleAPFloat::toString(SmallVectorImpl<char> &Str, | |||
4616 | unsigned FormatPrecision, | |||
4617 | unsigned FormatMaxPadding, | |||
4618 | bool TruncateZero) const { | |||
4619 | assert(Semantics == &semPPCDoubleDouble && "Unexpected Semantics")((Semantics == &semPPCDoubleDouble && "Unexpected Semantics" ) ? static_cast<void> (0) : __assert_fail ("Semantics == &semPPCDoubleDouble && \"Unexpected Semantics\"" , "/build/llvm-toolchain-snapshot-11~++20200309111110+2c36c23f347/llvm/lib/Support/APFloat.cpp" , 4619, __PRETTY_FUNCTION__)); | |||
4620 | APFloat(semPPCDoubleDoubleLegacy, bitcastToAPInt()) | |||
4621 | .toString(Str, FormatPrecision, FormatMaxPadding, TruncateZero); | |||
4622 | } | |||
4623 | ||||
4624 | bool DoubleAPFloat::getExactInverse(APFloat *inv) const { | |||
4625 | assert(Semantics == &semPPCDoubleDouble && "Unexpected Semantics")((Semantics == &semPPCDoubleDouble && "Unexpected Semantics" ) ? static_cast<void> (0) : __assert_fail ("Semantics == &semPPCDoubleDouble && \"Unexpected Semantics\"" , "/build/llvm-toolchain-snapshot-11~++20200309111110+2c36c23f347/llvm/lib/Support/APFloat.cpp" , 4625, __PRETTY_FUNCTION__)); | |||
4626 | APFloat Tmp(semPPCDoubleDoubleLegacy, bitcastToAPInt()); | |||
4627 | if (!inv) | |||
4628 | return Tmp.getExactInverse(nullptr); | |||
4629 | APFloat Inv(semPPCDoubleDoubleLegacy); | |||
4630 | auto Ret = Tmp.getExactInverse(&Inv); | |||
4631 | *inv = APFloat(semPPCDoubleDouble, Inv.bitcastToAPInt()); | |||
4632 | return Ret; | |||
4633 | } | |||
4634 | ||||
4635 | DoubleAPFloat scalbn(DoubleAPFloat Arg, int Exp, APFloat::roundingMode RM) { | |||
4636 | assert(Arg.Semantics == &semPPCDoubleDouble && "Unexpected Semantics")((Arg.Semantics == &semPPCDoubleDouble && "Unexpected Semantics" ) ? static_cast<void> (0) : __assert_fail ("Arg.Semantics == &semPPCDoubleDouble && \"Unexpected Semantics\"" , "/build/llvm-toolchain-snapshot-11~++20200309111110+2c36c23f347/llvm/lib/Support/APFloat.cpp" , 4636, __PRETTY_FUNCTION__)); | |||
4637 | return DoubleAPFloat(semPPCDoubleDouble, scalbn(Arg.Floats[0], Exp, RM), | |||
4638 | scalbn(Arg.Floats[1], Exp, RM)); | |||
4639 | } | |||
4640 | ||||
4641 | DoubleAPFloat frexp(const DoubleAPFloat &Arg, int &Exp, | |||
4642 | APFloat::roundingMode RM) { | |||
4643 | assert(Arg.Semantics == &semPPCDoubleDouble && "Unexpected Semantics")((Arg.Semantics == &semPPCDoubleDouble && "Unexpected Semantics" ) ? static_cast<void> (0) : __assert_fail ("Arg.Semantics == &semPPCDoubleDouble && \"Unexpected Semantics\"" , "/build/llvm-toolchain-snapshot-11~++20200309111110+2c36c23f347/llvm/lib/Support/APFloat.cpp" , 4643, __PRETTY_FUNCTION__)); | |||
4644 | APFloat First = frexp(Arg.Floats[0], Exp, RM); | |||
4645 | APFloat Second = Arg.Floats[1]; | |||
4646 | if (Arg.getCategory() == APFloat::fcNormal) | |||
4647 | Second = scalbn(Second, -Exp, RM); | |||
4648 | return DoubleAPFloat(semPPCDoubleDouble, std::move(First), std::move(Second)); | |||
4649 | } | |||
4650 | ||||
4651 | } // End detail namespace | |||
4652 | ||||
4653 | APFloat::Storage::Storage(IEEEFloat F, const fltSemantics &Semantics) { | |||
4654 | if (usesLayout<IEEEFloat>(Semantics)) { | |||
4655 | new (&IEEE) IEEEFloat(std::move(F)); | |||
4656 | return; | |||
4657 | } | |||
4658 | if (usesLayout<DoubleAPFloat>(Semantics)) { | |||
4659 | const fltSemantics& S = F.getSemantics(); | |||
4660 | new (&Double) | |||
4661 | DoubleAPFloat(Semantics, APFloat(std::move(F), S), | |||
4662 | APFloat(semIEEEdouble)); | |||
4663 | return; | |||
4664 | } | |||
4665 | llvm_unreachable("Unexpected semantics")::llvm::llvm_unreachable_internal("Unexpected semantics", "/build/llvm-toolchain-snapshot-11~++20200309111110+2c36c23f347/llvm/lib/Support/APFloat.cpp" , 4665); | |||
4666 | } | |||
4667 | ||||
4668 | Expected<APFloat::opStatus> APFloat::convertFromString(StringRef Str, | |||
4669 | roundingMode RM) { | |||
4670 | APFLOAT_DISPATCH_ON_SEMANTICS(convertFromString(Str, RM)); | |||
4671 | } | |||
4672 | ||||
4673 | hash_code hash_value(const APFloat &Arg) { | |||
4674 | if (APFloat::usesLayout<detail::IEEEFloat>(Arg.getSemantics())) | |||
4675 | return hash_value(Arg.U.IEEE); | |||
4676 | if (APFloat::usesLayout<detail::DoubleAPFloat>(Arg.getSemantics())) | |||
4677 | return hash_value(Arg.U.Double); | |||
4678 | llvm_unreachable("Unexpected semantics")::llvm::llvm_unreachable_internal("Unexpected semantics", "/build/llvm-toolchain-snapshot-11~++20200309111110+2c36c23f347/llvm/lib/Support/APFloat.cpp" , 4678); | |||
4679 | } | |||
4680 | ||||
4681 | APFloat::APFloat(const fltSemantics &Semantics, StringRef S) | |||
4682 | : APFloat(Semantics) { | |||
4683 | auto StatusOrErr = convertFromString(S, rmNearestTiesToEven); | |||
4684 | assert(StatusOrErr && "Invalid floating point representation")((StatusOrErr && "Invalid floating point representation" ) ? static_cast<void> (0) : __assert_fail ("StatusOrErr && \"Invalid floating point representation\"" , "/build/llvm-toolchain-snapshot-11~++20200309111110+2c36c23f347/llvm/lib/Support/APFloat.cpp" , 4684, __PRETTY_FUNCTION__)); | |||
4685 | consumeError(StatusOrErr.takeError()); | |||
4686 | } | |||
4687 | ||||
4688 | APFloat::opStatus APFloat::convert(const fltSemantics &ToSemantics, | |||
4689 | roundingMode RM, bool *losesInfo) { | |||
4690 | if (&getSemantics() == &ToSemantics) { | |||
4691 | *losesInfo = false; | |||
4692 | return opOK; | |||
4693 | } | |||
4694 | if (usesLayout<IEEEFloat>(getSemantics()) && | |||
4695 | usesLayout<IEEEFloat>(ToSemantics)) | |||
4696 | return U.IEEE.convert(ToSemantics, RM, losesInfo); | |||
4697 | if (usesLayout<IEEEFloat>(getSemantics()) && | |||
4698 | usesLayout<DoubleAPFloat>(ToSemantics)) { | |||
4699 | assert(&ToSemantics == &semPPCDoubleDouble)((&ToSemantics == &semPPCDoubleDouble) ? static_cast< void> (0) : __assert_fail ("&ToSemantics == &semPPCDoubleDouble" , "/build/llvm-toolchain-snapshot-11~++20200309111110+2c36c23f347/llvm/lib/Support/APFloat.cpp" , 4699, __PRETTY_FUNCTION__)); | |||
4700 | auto Ret = U.IEEE.convert(semPPCDoubleDoubleLegacy, RM, losesInfo); | |||
4701 | *this = APFloat(ToSemantics, U.IEEE.bitcastToAPInt()); | |||
4702 | return Ret; | |||
4703 | } | |||
4704 | if (usesLayout<DoubleAPFloat>(getSemantics()) && | |||
4705 | usesLayout<IEEEFloat>(ToSemantics)) { | |||
4706 | auto Ret = getIEEE().convert(ToSemantics, RM, losesInfo); | |||
4707 | *this = APFloat(std::move(getIEEE()), ToSemantics); | |||
4708 | return Ret; | |||
4709 | } | |||
4710 | llvm_unreachable("Unexpected semantics")::llvm::llvm_unreachable_internal("Unexpected semantics", "/build/llvm-toolchain-snapshot-11~++20200309111110+2c36c23f347/llvm/lib/Support/APFloat.cpp" , 4710); | |||
4711 | } | |||
4712 | ||||
4713 | APFloat APFloat::getAllOnesValue(unsigned BitWidth, bool isIEEE) { | |||
4714 | if (isIEEE) { | |||
4715 | switch (BitWidth) { | |||
4716 | case 16: | |||
4717 | return APFloat(semIEEEhalf, APInt::getAllOnesValue(BitWidth)); | |||
4718 | case 32: | |||
4719 | return APFloat(semIEEEsingle, APInt::getAllOnesValue(BitWidth)); | |||
4720 | case 64: | |||
4721 | return APFloat(semIEEEdouble, APInt::getAllOnesValue(BitWidth)); | |||
4722 | case 80: | |||
4723 | return APFloat(semX87DoubleExtended, APInt::getAllOnesValue(BitWidth)); | |||
4724 | case 128: | |||
4725 | return APFloat(semIEEEquad, APInt::getAllOnesValue(BitWidth)); | |||
4726 | default: | |||
4727 | llvm_unreachable("Unknown floating bit width")::llvm::llvm_unreachable_internal("Unknown floating bit width" , "/build/llvm-toolchain-snapshot-11~++20200309111110+2c36c23f347/llvm/lib/Support/APFloat.cpp" , 4727); | |||
4728 | } | |||
4729 | } else { | |||
4730 | assert(BitWidth == 128)((BitWidth == 128) ? static_cast<void> (0) : __assert_fail ("BitWidth == 128", "/build/llvm-toolchain-snapshot-11~++20200309111110+2c36c23f347/llvm/lib/Support/APFloat.cpp" , 4730, __PRETTY_FUNCTION__)); | |||
4731 | return APFloat(semPPCDoubleDouble, APInt::getAllOnesValue(BitWidth)); | |||
4732 | } | |||
4733 | } | |||
4734 | ||||
4735 | void APFloat::print(raw_ostream &OS) const { | |||
4736 | SmallVector<char, 16> Buffer; | |||
4737 | toString(Buffer); | |||
4738 | OS << Buffer << "\n"; | |||
4739 | } | |||
4740 | ||||
4741 | #if !defined(NDEBUG) || defined(LLVM_ENABLE_DUMP) | |||
4742 | LLVM_DUMP_METHOD__attribute__((noinline)) __attribute__((__used__)) void APFloat::dump() const { print(dbgs()); } | |||
4743 | #endif | |||
4744 | ||||
4745 | void APFloat::Profile(FoldingSetNodeID &NID) const { | |||
4746 | NID.Add(bitcastToAPInt()); | |||
| ||||
4747 | } | |||
4748 | ||||
4749 | /* Same as convertToInteger(integerPart*, ...), except the result is returned in | |||
4750 | an APSInt, whose initial bit-width and signed-ness are used to determine the | |||
4751 | precision of the conversion. | |||
4752 | */ | |||
4753 | APFloat::opStatus APFloat::convertToInteger(APSInt &result, | |||
4754 | roundingMode rounding_mode, | |||
4755 | bool *isExact) const { | |||
4756 | unsigned bitWidth = result.getBitWidth(); | |||
4757 | SmallVector<uint64_t, 4> parts(result.getNumWords()); | |||
4758 | opStatus status = convertToInteger(parts, bitWidth, result.isSigned(), | |||
4759 | rounding_mode, isExact); | |||
4760 | // Keeps the original signed-ness. | |||
4761 | result = APInt(bitWidth, parts); | |||
4762 | return status; | |||
4763 | } | |||
4764 | ||||
4765 | } // End llvm namespace | |||
4766 | ||||
4767 | #undef APFLOAT_DISPATCH_ON_SEMANTICS |
1 | //===- llvm/ADT/APFloat.h - Arbitrary Precision Floating Point ---*- C++ -*-==// |
2 | // |
3 | // Part of the LLVM Project, under the Apache License v2.0 with LLVM Exceptions. |
4 | // See https://llvm.org/LICENSE.txt for license information. |
5 | // SPDX-License-Identifier: Apache-2.0 WITH LLVM-exception |
6 | // |
7 | //===----------------------------------------------------------------------===// |
8 | /// |
9 | /// \file |
10 | /// \brief |
11 | /// This file declares a class to represent arbitrary precision floating point |
12 | /// values and provide a variety of arithmetic operations on them. |
13 | /// |
14 | //===----------------------------------------------------------------------===// |
15 | |
16 | #ifndef LLVM_ADT_APFLOAT_H |
17 | #define LLVM_ADT_APFLOAT_H |
18 | |
19 | #include "llvm/ADT/APInt.h" |
20 | #include "llvm/ADT/ArrayRef.h" |
21 | #include "llvm/Support/ErrorHandling.h" |
22 | #include <memory> |
23 | |
24 | #define APFLOAT_DISPATCH_ON_SEMANTICS(METHOD_CALL) \ |
25 | do { \ |
26 | if (usesLayout<IEEEFloat>(getSemantics())) \ |
27 | return U.IEEE.METHOD_CALL; \ |
28 | if (usesLayout<DoubleAPFloat>(getSemantics())) \ |
29 | return U.Double.METHOD_CALL; \ |
30 | llvm_unreachable("Unexpected semantics")::llvm::llvm_unreachable_internal("Unexpected semantics", "/build/llvm-toolchain-snapshot-11~++20200309111110+2c36c23f347/llvm/include/llvm/ADT/APFloat.h" , 30); \ |
31 | } while (false) |
32 | |
33 | namespace llvm { |
34 | |
35 | struct fltSemantics; |
36 | class APSInt; |
37 | class StringRef; |
38 | class APFloat; |
39 | class raw_ostream; |
40 | |
41 | template <typename T> class Expected; |
42 | template <typename T> class SmallVectorImpl; |
43 | |
44 | /// Enum that represents what fraction of the LSB truncated bits of an fp number |
45 | /// represent. |
46 | /// |
47 | /// This essentially combines the roles of guard and sticky bits. |
48 | enum lostFraction { // Example of truncated bits: |
49 | lfExactlyZero, // 000000 |
50 | lfLessThanHalf, // 0xxxxx x's not all zero |
51 | lfExactlyHalf, // 100000 |
52 | lfMoreThanHalf // 1xxxxx x's not all zero |
53 | }; |
54 | |
55 | /// A self-contained host- and target-independent arbitrary-precision |
56 | /// floating-point software implementation. |
57 | /// |
58 | /// APFloat uses bignum integer arithmetic as provided by static functions in |
59 | /// the APInt class. The library will work with bignum integers whose parts are |
60 | /// any unsigned type at least 16 bits wide, but 64 bits is recommended. |
61 | /// |
62 | /// Written for clarity rather than speed, in particular with a view to use in |
63 | /// the front-end of a cross compiler so that target arithmetic can be correctly |
64 | /// performed on the host. Performance should nonetheless be reasonable, |
65 | /// particularly for its intended use. It may be useful as a base |
66 | /// implementation for a run-time library during development of a faster |
67 | /// target-specific one. |
68 | /// |
69 | /// All 5 rounding modes in the IEEE-754R draft are handled correctly for all |
70 | /// implemented operations. Currently implemented operations are add, subtract, |
71 | /// multiply, divide, fused-multiply-add, conversion-to-float, |
72 | /// conversion-to-integer and conversion-from-integer. New rounding modes |
73 | /// (e.g. away from zero) can be added with three or four lines of code. |
74 | /// |
75 | /// Four formats are built-in: IEEE single precision, double precision, |
76 | /// quadruple precision, and x87 80-bit extended double (when operating with |
77 | /// full extended precision). Adding a new format that obeys IEEE semantics |
78 | /// only requires adding two lines of code: a declaration and definition of the |
79 | /// format. |
80 | /// |
81 | /// All operations return the status of that operation as an exception bit-mask, |
82 | /// so multiple operations can be done consecutively with their results or-ed |
83 | /// together. The returned status can be useful for compiler diagnostics; e.g., |
84 | /// inexact, underflow and overflow can be easily diagnosed on constant folding, |
85 | /// and compiler optimizers can determine what exceptions would be raised by |
86 | /// folding operations and optimize, or perhaps not optimize, accordingly. |
87 | /// |
88 | /// At present, underflow tininess is detected after rounding; it should be |
89 | /// straight forward to add support for the before-rounding case too. |
90 | /// |
91 | /// The library reads hexadecimal floating point numbers as per C99, and |
92 | /// correctly rounds if necessary according to the specified rounding mode. |
93 | /// Syntax is required to have been validated by the caller. It also converts |
94 | /// floating point numbers to hexadecimal text as per the C99 %a and %A |
95 | /// conversions. The output precision (or alternatively the natural minimal |
96 | /// precision) can be specified; if the requested precision is less than the |
97 | /// natural precision the output is correctly rounded for the specified rounding |
98 | /// mode. |
99 | /// |
100 | /// It also reads decimal floating point numbers and correctly rounds according |
101 | /// to the specified rounding mode. |
102 | /// |
103 | /// Conversion to decimal text is not currently implemented. |
104 | /// |
105 | /// Non-zero finite numbers are represented internally as a sign bit, a 16-bit |
106 | /// signed exponent, and the significand as an array of integer parts. After |
107 | /// normalization of a number of precision P the exponent is within the range of |
108 | /// the format, and if the number is not denormal the P-th bit of the |
109 | /// significand is set as an explicit integer bit. For denormals the most |
110 | /// significant bit is shifted right so that the exponent is maintained at the |
111 | /// format's minimum, so that the smallest denormal has just the least |
112 | /// significant bit of the significand set. The sign of zeroes and infinities |
113 | /// is significant; the exponent and significand of such numbers is not stored, |
114 | /// but has a known implicit (deterministic) value: 0 for the significands, 0 |
115 | /// for zero exponent, all 1 bits for infinity exponent. For NaNs the sign and |
116 | /// significand are deterministic, although not really meaningful, and preserved |
117 | /// in non-conversion operations. The exponent is implicitly all 1 bits. |
118 | /// |
119 | /// APFloat does not provide any exception handling beyond default exception |
120 | /// handling. We represent Signaling NaNs via IEEE-754R 2008 6.2.1 should clause |
121 | /// by encoding Signaling NaNs with the first bit of its trailing significand as |
122 | /// 0. |
123 | /// |
124 | /// TODO |
125 | /// ==== |
126 | /// |
127 | /// Some features that may or may not be worth adding: |
128 | /// |
129 | /// Binary to decimal conversion (hard). |
130 | /// |
131 | /// Optional ability to detect underflow tininess before rounding. |
132 | /// |
133 | /// New formats: x87 in single and double precision mode (IEEE apart from |
134 | /// extended exponent range) (hard). |
135 | /// |
136 | /// New operations: sqrt, IEEE remainder, C90 fmod, nexttoward. |
137 | /// |
138 | |
139 | // This is the common type definitions shared by APFloat and its internal |
140 | // implementation classes. This struct should not define any non-static data |
141 | // members. |
142 | struct APFloatBase { |
143 | typedef APInt::WordType integerPart; |
144 | static const unsigned integerPartWidth = APInt::APINT_BITS_PER_WORD; |
145 | |
146 | /// A signed type to represent a floating point numbers unbiased exponent. |
147 | typedef int32_t ExponentType; |
148 | |
149 | /// \name Floating Point Semantics. |
150 | /// @{ |
151 | enum Semantics { |
152 | S_IEEEhalf, |
153 | S_IEEEsingle, |
154 | S_IEEEdouble, |
155 | S_x87DoubleExtended, |
156 | S_IEEEquad, |
157 | S_PPCDoubleDouble |
158 | }; |
159 | |
160 | static const llvm::fltSemantics &EnumToSemantics(Semantics S); |
161 | static Semantics SemanticsToEnum(const llvm::fltSemantics &Sem); |
162 | |
163 | static const fltSemantics &IEEEhalf() LLVM_READNONE__attribute__((__const__)); |
164 | static const fltSemantics &IEEEsingle() LLVM_READNONE__attribute__((__const__)); |
165 | static const fltSemantics &IEEEdouble() LLVM_READNONE__attribute__((__const__)); |
166 | static const fltSemantics &IEEEquad() LLVM_READNONE__attribute__((__const__)); |
167 | static const fltSemantics &PPCDoubleDouble() LLVM_READNONE__attribute__((__const__)); |
168 | static const fltSemantics &x87DoubleExtended() LLVM_READNONE__attribute__((__const__)); |
169 | |
170 | /// A Pseudo fltsemantic used to construct APFloats that cannot conflict with |
171 | /// anything real. |
172 | static const fltSemantics &Bogus() LLVM_READNONE__attribute__((__const__)); |
173 | |
174 | /// @} |
175 | |
176 | /// IEEE-754R 5.11: Floating Point Comparison Relations. |
177 | enum cmpResult { |
178 | cmpLessThan, |
179 | cmpEqual, |
180 | cmpGreaterThan, |
181 | cmpUnordered |
182 | }; |
183 | |
184 | /// IEEE-754R 4.3: Rounding-direction attributes. |
185 | enum roundingMode { |
186 | rmNearestTiesToEven, |
187 | rmTowardPositive, |
188 | rmTowardNegative, |
189 | rmTowardZero, |
190 | rmNearestTiesToAway |
191 | }; |
192 | |
193 | /// IEEE-754R 7: Default exception handling. |
194 | /// |
195 | /// opUnderflow or opOverflow are always returned or-ed with opInexact. |
196 | /// |
197 | /// APFloat models this behavior specified by IEEE-754: |
198 | /// "For operations producing results in floating-point format, the default |
199 | /// result of an operation that signals the invalid operation exception |
200 | /// shall be a quiet NaN." |
201 | enum opStatus { |
202 | opOK = 0x00, |
203 | opInvalidOp = 0x01, |
204 | opDivByZero = 0x02, |
205 | opOverflow = 0x04, |
206 | opUnderflow = 0x08, |
207 | opInexact = 0x10 |
208 | }; |
209 | |
210 | /// Category of internally-represented number. |
211 | enum fltCategory { |
212 | fcInfinity, |
213 | fcNaN, |
214 | fcNormal, |
215 | fcZero |
216 | }; |
217 | |
218 | /// Convenience enum used to construct an uninitialized APFloat. |
219 | enum uninitializedTag { |
220 | uninitialized |
221 | }; |
222 | |
223 | /// Enumeration of \c ilogb error results. |
224 | enum IlogbErrorKinds { |
225 | IEK_Zero = INT_MIN(-2147483647 -1) + 1, |
226 | IEK_NaN = INT_MIN(-2147483647 -1), |
227 | IEK_Inf = INT_MAX2147483647 |
228 | }; |
229 | |
230 | static unsigned int semanticsPrecision(const fltSemantics &); |
231 | static ExponentType semanticsMinExponent(const fltSemantics &); |
232 | static ExponentType semanticsMaxExponent(const fltSemantics &); |
233 | static unsigned int semanticsSizeInBits(const fltSemantics &); |
234 | |
235 | /// Returns the size of the floating point number (in bits) in the given |
236 | /// semantics. |
237 | static unsigned getSizeInBits(const fltSemantics &Sem); |
238 | }; |
239 | |
240 | namespace detail { |
241 | |
242 | class IEEEFloat final : public APFloatBase { |
243 | public: |
244 | /// \name Constructors |
245 | /// @{ |
246 | |
247 | IEEEFloat(const fltSemantics &); // Default construct to 0.0 |
248 | IEEEFloat(const fltSemantics &, integerPart); |
249 | IEEEFloat(const fltSemantics &, uninitializedTag); |
250 | IEEEFloat(const fltSemantics &, const APInt &); |
251 | explicit IEEEFloat(double d); |
252 | explicit IEEEFloat(float f); |
253 | IEEEFloat(const IEEEFloat &); |
254 | IEEEFloat(IEEEFloat &&); |
255 | ~IEEEFloat(); |
256 | |
257 | /// @} |
258 | |
259 | /// Returns whether this instance allocated memory. |
260 | bool needsCleanup() const { return partCount() > 1; } |
261 | |
262 | /// \name Convenience "constructors" |
263 | /// @{ |
264 | |
265 | /// @} |
266 | |
267 | /// \name Arithmetic |
268 | /// @{ |
269 | |
270 | opStatus add(const IEEEFloat &, roundingMode); |
271 | opStatus subtract(const IEEEFloat &, roundingMode); |
272 | opStatus multiply(const IEEEFloat &, roundingMode); |
273 | opStatus divide(const IEEEFloat &, roundingMode); |
274 | /// IEEE remainder. |
275 | opStatus remainder(const IEEEFloat &); |
276 | /// C fmod, or llvm frem. |
277 | opStatus mod(const IEEEFloat &); |
278 | opStatus fusedMultiplyAdd(const IEEEFloat &, const IEEEFloat &, roundingMode); |
279 | opStatus roundToIntegral(roundingMode); |
280 | /// IEEE-754R 5.3.1: nextUp/nextDown. |
281 | opStatus next(bool nextDown); |
282 | |
283 | /// @} |
284 | |
285 | /// \name Sign operations. |
286 | /// @{ |
287 | |
288 | void changeSign(); |
289 | |
290 | /// @} |
291 | |
292 | /// \name Conversions |
293 | /// @{ |
294 | |
295 | opStatus convert(const fltSemantics &, roundingMode, bool *); |
296 | opStatus convertToInteger(MutableArrayRef<integerPart>, unsigned int, bool, |
297 | roundingMode, bool *) const; |
298 | opStatus convertFromAPInt(const APInt &, bool, roundingMode); |
299 | opStatus convertFromSignExtendedInteger(const integerPart *, unsigned int, |
300 | bool, roundingMode); |
301 | opStatus convertFromZeroExtendedInteger(const integerPart *, unsigned int, |
302 | bool, roundingMode); |
303 | Expected<opStatus> convertFromString(StringRef, roundingMode); |
304 | APInt bitcastToAPInt() const; |
305 | double convertToDouble() const; |
306 | float convertToFloat() const; |
307 | |
308 | /// @} |
309 | |
310 | /// The definition of equality is not straightforward for floating point, so |
311 | /// we won't use operator==. Use one of the following, or write whatever it |
312 | /// is you really mean. |
313 | bool operator==(const IEEEFloat &) const = delete; |
314 | |
315 | /// IEEE comparison with another floating point number (NaNs compare |
316 | /// unordered, 0==-0). |
317 | cmpResult compare(const IEEEFloat &) const; |
318 | |
319 | /// Bitwise comparison for equality (QNaNs compare equal, 0!=-0). |
320 | bool bitwiseIsEqual(const IEEEFloat &) const; |
321 | |
322 | /// Write out a hexadecimal representation of the floating point value to DST, |
323 | /// which must be of sufficient size, in the C99 form [-]0xh.hhhhp[+-]d. |
324 | /// Return the number of characters written, excluding the terminating NUL. |
325 | unsigned int convertToHexString(char *dst, unsigned int hexDigits, |
326 | bool upperCase, roundingMode) const; |
327 | |
328 | /// \name IEEE-754R 5.7.2 General operations. |
329 | /// @{ |
330 | |
331 | /// IEEE-754R isSignMinus: Returns true if and only if the current value is |
332 | /// negative. |
333 | /// |
334 | /// This applies to zeros and NaNs as well. |
335 | bool isNegative() const { return sign; } |
336 | |
337 | /// IEEE-754R isNormal: Returns true if and only if the current value is normal. |
338 | /// |
339 | /// This implies that the current value of the float is not zero, subnormal, |
340 | /// infinite, or NaN following the definition of normality from IEEE-754R. |
341 | bool isNormal() const { return !isDenormal() && isFiniteNonZero(); } |
342 | |
343 | /// Returns true if and only if the current value is zero, subnormal, or |
344 | /// normal. |
345 | /// |
346 | /// This means that the value is not infinite or NaN. |
347 | bool isFinite() const { return !isNaN() && !isInfinity(); } |
348 | |
349 | /// Returns true if and only if the float is plus or minus zero. |
350 | bool isZero() const { return category == fcZero; } |
351 | |
352 | /// IEEE-754R isSubnormal(): Returns true if and only if the float is a |
353 | /// denormal. |
354 | bool isDenormal() const; |
355 | |
356 | /// IEEE-754R isInfinite(): Returns true if and only if the float is infinity. |
357 | bool isInfinity() const { return category == fcInfinity; } |
358 | |
359 | /// Returns true if and only if the float is a quiet or signaling NaN. |
360 | bool isNaN() const { return category == fcNaN; } |
361 | |
362 | /// Returns true if and only if the float is a signaling NaN. |
363 | bool isSignaling() const; |
364 | |
365 | /// @} |
366 | |
367 | /// \name Simple Queries |
368 | /// @{ |
369 | |
370 | fltCategory getCategory() const { return category; } |
371 | const fltSemantics &getSemantics() const { return *semantics; } |
372 | bool isNonZero() const { return category != fcZero; } |
373 | bool isFiniteNonZero() const { return isFinite() && !isZero(); } |
374 | bool isPosZero() const { return isZero() && !isNegative(); } |
375 | bool isNegZero() const { return isZero() && isNegative(); } |
376 | |
377 | /// Returns true if and only if the number has the smallest possible non-zero |
378 | /// magnitude in the current semantics. |
379 | bool isSmallest() const; |
380 | |
381 | /// Returns true if and only if the number has the largest possible finite |
382 | /// magnitude in the current semantics. |
383 | bool isLargest() const; |
384 | |
385 | /// Returns true if and only if the number is an exact integer. |
386 | bool isInteger() const; |
387 | |
388 | /// @} |
389 | |
390 | IEEEFloat &operator=(const IEEEFloat &); |
391 | IEEEFloat &operator=(IEEEFloat &&); |
392 | |
393 | /// Overload to compute a hash code for an APFloat value. |
394 | /// |
395 | /// Note that the use of hash codes for floating point values is in general |
396 | /// frought with peril. Equality is hard to define for these values. For |
397 | /// example, should negative and positive zero hash to different codes? Are |
398 | /// they equal or not? This hash value implementation specifically |
399 | /// emphasizes producing different codes for different inputs in order to |
400 | /// be used in canonicalization and memoization. As such, equality is |
401 | /// bitwiseIsEqual, and 0 != -0. |
402 | friend hash_code hash_value(const IEEEFloat &Arg); |
403 | |
404 | /// Converts this value into a decimal string. |
405 | /// |
406 | /// \param FormatPrecision The maximum number of digits of |
407 | /// precision to output. If there are fewer digits available, |
408 | /// zero padding will not be used unless the value is |
409 | /// integral and small enough to be expressed in |
410 | /// FormatPrecision digits. 0 means to use the natural |
411 | /// precision of the number. |
412 | /// \param FormatMaxPadding The maximum number of zeros to |
413 | /// consider inserting before falling back to scientific |
414 | /// notation. 0 means to always use scientific notation. |
415 | /// |
416 | /// \param TruncateZero Indicate whether to remove the trailing zero in |
417 | /// fraction part or not. Also setting this parameter to false forcing |
418 | /// producing of output more similar to default printf behavior. |
419 | /// Specifically the lower e is used as exponent delimiter and exponent |
420 | /// always contains no less than two digits. |
421 | /// |
422 | /// Number Precision MaxPadding Result |
423 | /// ------ --------- ---------- ------ |
424 | /// 1.01E+4 5 2 10100 |
425 | /// 1.01E+4 4 2 1.01E+4 |
426 | /// 1.01E+4 5 1 1.01E+4 |
427 | /// 1.01E-2 5 2 0.0101 |
428 | /// 1.01E-2 4 2 0.0101 |
429 | /// 1.01E-2 4 1 1.01E-2 |
430 | void toString(SmallVectorImpl<char> &Str, unsigned FormatPrecision = 0, |
431 | unsigned FormatMaxPadding = 3, bool TruncateZero = true) const; |
432 | |
433 | /// If this value has an exact multiplicative inverse, store it in inv and |
434 | /// return true. |
435 | bool getExactInverse(APFloat *inv) const; |
436 | |
437 | /// Returns the exponent of the internal representation of the APFloat. |
438 | /// |
439 | /// Because the radix of APFloat is 2, this is equivalent to floor(log2(x)). |
440 | /// For special APFloat values, this returns special error codes: |
441 | /// |
442 | /// NaN -> \c IEK_NaN |
443 | /// 0 -> \c IEK_Zero |
444 | /// Inf -> \c IEK_Inf |
445 | /// |
446 | friend int ilogb(const IEEEFloat &Arg); |
447 | |
448 | /// Returns: X * 2^Exp for integral exponents. |
449 | friend IEEEFloat scalbn(IEEEFloat X, int Exp, roundingMode); |
450 | |
451 | friend IEEEFloat frexp(const IEEEFloat &X, int &Exp, roundingMode); |
452 | |
453 | /// \name Special value setters. |
454 | /// @{ |
455 | |
456 | void makeLargest(bool Neg = false); |
457 | void makeSmallest(bool Neg = false); |
458 | void makeNaN(bool SNaN = false, bool Neg = false, |
459 | const APInt *fill = nullptr); |
460 | void makeInf(bool Neg = false); |
461 | void makeZero(bool Neg = false); |
462 | void makeQuiet(); |
463 | |
464 | /// Returns the smallest (by magnitude) normalized finite number in the given |
465 | /// semantics. |
466 | /// |
467 | /// \param Negative - True iff the number should be negative |
468 | void makeSmallestNormalized(bool Negative = false); |
469 | |
470 | /// @} |
471 | |
472 | cmpResult compareAbsoluteValue(const IEEEFloat &) const; |
473 | |
474 | private: |
475 | /// \name Simple Queries |
476 | /// @{ |
477 | |
478 | integerPart *significandParts(); |
479 | const integerPart *significandParts() const; |
480 | unsigned int partCount() const; |
481 | |
482 | /// @} |
483 | |
484 | /// \name Significand operations. |
485 | /// @{ |
486 | |
487 | integerPart addSignificand(const IEEEFloat &); |
488 | integerPart subtractSignificand(const IEEEFloat &, integerPart); |
489 | lostFraction addOrSubtractSignificand(const IEEEFloat &, bool subtract); |
490 | lostFraction multiplySignificand(const IEEEFloat &, IEEEFloat); |
491 | lostFraction multiplySignificand(const IEEEFloat&); |
492 | lostFraction divideSignificand(const IEEEFloat &); |
493 | void incrementSignificand(); |
494 | void initialize(const fltSemantics *); |
495 | void shiftSignificandLeft(unsigned int); |
496 | lostFraction shiftSignificandRight(unsigned int); |
497 | unsigned int significandLSB() const; |
498 | unsigned int significandMSB() const; |
499 | void zeroSignificand(); |
500 | /// Return true if the significand excluding the integral bit is all ones. |
501 | bool isSignificandAllOnes() const; |
502 | /// Return true if the significand excluding the integral bit is all zeros. |
503 | bool isSignificandAllZeros() const; |
504 | |
505 | /// @} |
506 | |
507 | /// \name Arithmetic on special values. |
508 | /// @{ |
509 | |
510 | opStatus addOrSubtractSpecials(const IEEEFloat &, bool subtract); |
511 | opStatus divideSpecials(const IEEEFloat &); |
512 | opStatus multiplySpecials(const IEEEFloat &); |
513 | opStatus modSpecials(const IEEEFloat &); |
514 | opStatus remainderSpecials(const IEEEFloat&); |
515 | |
516 | /// @} |
517 | |
518 | /// \name Miscellany |
519 | /// @{ |
520 | |
521 | bool convertFromStringSpecials(StringRef str); |
522 | opStatus normalize(roundingMode, lostFraction); |
523 | opStatus addOrSubtract(const IEEEFloat &, roundingMode, bool subtract); |
524 | opStatus handleOverflow(roundingMode); |
525 | bool roundAwayFromZero(roundingMode, lostFraction, unsigned int) const; |
526 | opStatus convertToSignExtendedInteger(MutableArrayRef<integerPart>, |
527 | unsigned int, bool, roundingMode, |
528 | bool *) const; |
529 | opStatus convertFromUnsignedParts(const integerPart *, unsigned int, |
530 | roundingMode); |
531 | Expected<opStatus> convertFromHexadecimalString(StringRef, roundingMode); |
532 | Expected<opStatus> convertFromDecimalString(StringRef, roundingMode); |
533 | char *convertNormalToHexString(char *, unsigned int, bool, |
534 | roundingMode) const; |
535 | opStatus roundSignificandWithExponent(const integerPart *, unsigned int, int, |
536 | roundingMode); |
537 | |
538 | /// @} |
539 | |
540 | APInt convertHalfAPFloatToAPInt() const; |
541 | APInt convertFloatAPFloatToAPInt() const; |
542 | APInt convertDoubleAPFloatToAPInt() const; |
543 | APInt convertQuadrupleAPFloatToAPInt() const; |
544 | APInt convertF80LongDoubleAPFloatToAPInt() const; |
545 | APInt convertPPCDoubleDoubleAPFloatToAPInt() const; |
546 | void initFromAPInt(const fltSemantics *Sem, const APInt &api); |
547 | void initFromHalfAPInt(const APInt &api); |
548 | void initFromFloatAPInt(const APInt &api); |
549 | void initFromDoubleAPInt(const APInt &api); |
550 | void initFromQuadrupleAPInt(const APInt &api); |
551 | void initFromF80LongDoubleAPInt(const APInt &api); |
552 | void initFromPPCDoubleDoubleAPInt(const APInt &api); |
553 | |
554 | void assign(const IEEEFloat &); |
555 | void copySignificand(const IEEEFloat &); |
556 | void freeSignificand(); |
557 | |
558 | /// Note: this must be the first data member. |
559 | /// The semantics that this value obeys. |
560 | const fltSemantics *semantics; |
561 | |
562 | /// A binary fraction with an explicit integer bit. |
563 | /// |
564 | /// The significand must be at least one bit wider than the target precision. |
565 | union Significand { |
566 | integerPart part; |
567 | integerPart *parts; |
568 | } significand; |
569 | |
570 | /// The signed unbiased exponent of the value. |
571 | ExponentType exponent; |
572 | |
573 | /// What kind of floating point number this is. |
574 | /// |
575 | /// Only 2 bits are required, but VisualStudio incorrectly sign extends it. |
576 | /// Using the extra bit keeps it from failing under VisualStudio. |
577 | fltCategory category : 3; |
578 | |
579 | /// Sign bit of the number. |
580 | unsigned int sign : 1; |
581 | }; |
582 | |
583 | hash_code hash_value(const IEEEFloat &Arg); |
584 | int ilogb(const IEEEFloat &Arg); |
585 | IEEEFloat scalbn(IEEEFloat X, int Exp, IEEEFloat::roundingMode); |
586 | IEEEFloat frexp(const IEEEFloat &Val, int &Exp, IEEEFloat::roundingMode RM); |
587 | |
588 | // This mode implements more precise float in terms of two APFloats. |
589 | // The interface and layout is designed for arbitray underlying semantics, |
590 | // though currently only PPCDoubleDouble semantics are supported, whose |
591 | // corresponding underlying semantics are IEEEdouble. |
592 | class DoubleAPFloat final : public APFloatBase { |
593 | // Note: this must be the first data member. |
594 | const fltSemantics *Semantics; |
595 | std::unique_ptr<APFloat[]> Floats; |
596 | |
597 | opStatus addImpl(const APFloat &a, const APFloat &aa, const APFloat &c, |
598 | const APFloat &cc, roundingMode RM); |
599 | |
600 | opStatus addWithSpecial(const DoubleAPFloat &LHS, const DoubleAPFloat &RHS, |
601 | DoubleAPFloat &Out, roundingMode RM); |
602 | |
603 | public: |
604 | DoubleAPFloat(const fltSemantics &S); |
605 | DoubleAPFloat(const fltSemantics &S, uninitializedTag); |
606 | DoubleAPFloat(const fltSemantics &S, integerPart); |
607 | DoubleAPFloat(const fltSemantics &S, const APInt &I); |
608 | DoubleAPFloat(const fltSemantics &S, APFloat &&First, APFloat &&Second); |
609 | DoubleAPFloat(const DoubleAPFloat &RHS); |
610 | DoubleAPFloat(DoubleAPFloat &&RHS); |
611 | |
612 | DoubleAPFloat &operator=(const DoubleAPFloat &RHS); |
613 | |
614 | DoubleAPFloat &operator=(DoubleAPFloat &&RHS) { |
615 | if (this != &RHS) { |
616 | this->~DoubleAPFloat(); |
617 | new (this) DoubleAPFloat(std::move(RHS)); |
618 | } |
619 | return *this; |
620 | } |
621 | |
622 | bool needsCleanup() const { return Floats != nullptr; } |
623 | |
624 | APFloat &getFirst() { return Floats[0]; } |
625 | const APFloat &getFirst() const { return Floats[0]; } |
626 | APFloat &getSecond() { return Floats[1]; } |
627 | const APFloat &getSecond() const { return Floats[1]; } |
628 | |
629 | opStatus add(const DoubleAPFloat &RHS, roundingMode RM); |
630 | opStatus subtract(const DoubleAPFloat &RHS, roundingMode RM); |
631 | opStatus multiply(const DoubleAPFloat &RHS, roundingMode RM); |
632 | opStatus divide(const DoubleAPFloat &RHS, roundingMode RM); |
633 | opStatus remainder(const DoubleAPFloat &RHS); |
634 | opStatus mod(const DoubleAPFloat &RHS); |
635 | opStatus fusedMultiplyAdd(const DoubleAPFloat &Multiplicand, |
636 | const DoubleAPFloat &Addend, roundingMode RM); |
637 | opStatus roundToIntegral(roundingMode RM); |
638 | void changeSign(); |
639 | cmpResult compareAbsoluteValue(const DoubleAPFloat &RHS) const; |
640 | |
641 | fltCategory getCategory() const; |
642 | bool isNegative() const; |
643 | |
644 | void makeInf(bool Neg); |
645 | void makeZero(bool Neg); |
646 | void makeLargest(bool Neg); |
647 | void makeSmallest(bool Neg); |
648 | void makeSmallestNormalized(bool Neg); |
649 | void makeNaN(bool SNaN, bool Neg, const APInt *fill); |
650 | |
651 | cmpResult compare(const DoubleAPFloat &RHS) const; |
652 | bool bitwiseIsEqual(const DoubleAPFloat &RHS) const; |
653 | APInt bitcastToAPInt() const; |
654 | Expected<opStatus> convertFromString(StringRef, roundingMode); |
655 | opStatus next(bool nextDown); |
656 | |
657 | opStatus convertToInteger(MutableArrayRef<integerPart> Input, |
658 | unsigned int Width, bool IsSigned, roundingMode RM, |
659 | bool *IsExact) const; |
660 | opStatus convertFromAPInt(const APInt &Input, bool IsSigned, roundingMode RM); |
661 | opStatus convertFromSignExtendedInteger(const integerPart *Input, |
662 | unsigned int InputSize, bool IsSigned, |
663 | roundingMode RM); |
664 | opStatus convertFromZeroExtendedInteger(const integerPart *Input, |
665 | unsigned int InputSize, bool IsSigned, |
666 | roundingMode RM); |
667 | unsigned int convertToHexString(char *DST, unsigned int HexDigits, |
668 | bool UpperCase, roundingMode RM) const; |
669 | |
670 | bool isDenormal() const; |
671 | bool isSmallest() const; |
672 | bool isLargest() const; |
673 | bool isInteger() const; |
674 | |
675 | void toString(SmallVectorImpl<char> &Str, unsigned FormatPrecision, |
676 | unsigned FormatMaxPadding, bool TruncateZero = true) const; |
677 | |
678 | bool getExactInverse(APFloat *inv) const; |
679 | |
680 | friend int ilogb(const DoubleAPFloat &Arg); |
681 | friend DoubleAPFloat scalbn(DoubleAPFloat X, int Exp, roundingMode); |
682 | friend DoubleAPFloat frexp(const DoubleAPFloat &X, int &Exp, roundingMode); |
683 | friend hash_code hash_value(const DoubleAPFloat &Arg); |
684 | }; |
685 | |
686 | hash_code hash_value(const DoubleAPFloat &Arg); |
687 | |
688 | } // End detail namespace |
689 | |
690 | // This is a interface class that is currently forwarding functionalities from |
691 | // detail::IEEEFloat. |
692 | class APFloat : public APFloatBase { |
693 | typedef detail::IEEEFloat IEEEFloat; |
694 | typedef detail::DoubleAPFloat DoubleAPFloat; |
695 | |
696 | static_assert(std::is_standard_layout<IEEEFloat>::value, ""); |
697 | |
698 | union Storage { |
699 | const fltSemantics *semantics; |
700 | IEEEFloat IEEE; |
701 | DoubleAPFloat Double; |
702 | |
703 | explicit Storage(IEEEFloat F, const fltSemantics &S); |
704 | explicit Storage(DoubleAPFloat F, const fltSemantics &S) |
705 | : Double(std::move(F)) { |
706 | assert(&S == &PPCDoubleDouble())((&S == &PPCDoubleDouble()) ? static_cast<void> (0) : __assert_fail ("&S == &PPCDoubleDouble()", "/build/llvm-toolchain-snapshot-11~++20200309111110+2c36c23f347/llvm/include/llvm/ADT/APFloat.h" , 706, __PRETTY_FUNCTION__)); |
707 | } |
708 | |
709 | template <typename... ArgTypes> |
710 | Storage(const fltSemantics &Semantics, ArgTypes &&... Args) { |
711 | if (usesLayout<IEEEFloat>(Semantics)) { |
712 | new (&IEEE) IEEEFloat(Semantics, std::forward<ArgTypes>(Args)...); |
713 | return; |
714 | } |
715 | if (usesLayout<DoubleAPFloat>(Semantics)) { |
716 | new (&Double) DoubleAPFloat(Semantics, std::forward<ArgTypes>(Args)...); |
717 | return; |
718 | } |
719 | llvm_unreachable("Unexpected semantics")::llvm::llvm_unreachable_internal("Unexpected semantics", "/build/llvm-toolchain-snapshot-11~++20200309111110+2c36c23f347/llvm/include/llvm/ADT/APFloat.h" , 719); |
720 | } |
721 | |
722 | ~Storage() { |
723 | if (usesLayout<IEEEFloat>(*semantics)) { |
724 | IEEE.~IEEEFloat(); |
725 | return; |
726 | } |
727 | if (usesLayout<DoubleAPFloat>(*semantics)) { |
728 | Double.~DoubleAPFloat(); |
729 | return; |
730 | } |
731 | llvm_unreachable("Unexpected semantics")::llvm::llvm_unreachable_internal("Unexpected semantics", "/build/llvm-toolchain-snapshot-11~++20200309111110+2c36c23f347/llvm/include/llvm/ADT/APFloat.h" , 731); |
732 | } |
733 | |
734 | Storage(const Storage &RHS) { |
735 | if (usesLayout<IEEEFloat>(*RHS.semantics)) { |
736 | new (this) IEEEFloat(RHS.IEEE); |
737 | return; |
738 | } |
739 | if (usesLayout<DoubleAPFloat>(*RHS.semantics)) { |
740 | new (this) DoubleAPFloat(RHS.Double); |
741 | return; |
742 | } |
743 | llvm_unreachable("Unexpected semantics")::llvm::llvm_unreachable_internal("Unexpected semantics", "/build/llvm-toolchain-snapshot-11~++20200309111110+2c36c23f347/llvm/include/llvm/ADT/APFloat.h" , 743); |
744 | } |
745 | |
746 | Storage(Storage &&RHS) { |
747 | if (usesLayout<IEEEFloat>(*RHS.semantics)) { |
748 | new (this) IEEEFloat(std::move(RHS.IEEE)); |
749 | return; |
750 | } |
751 | if (usesLayout<DoubleAPFloat>(*RHS.semantics)) { |
752 | new (this) DoubleAPFloat(std::move(RHS.Double)); |
753 | return; |
754 | } |
755 | llvm_unreachable("Unexpected semantics")::llvm::llvm_unreachable_internal("Unexpected semantics", "/build/llvm-toolchain-snapshot-11~++20200309111110+2c36c23f347/llvm/include/llvm/ADT/APFloat.h" , 755); |
756 | } |
757 | |
758 | Storage &operator=(const Storage &RHS) { |
759 | if (usesLayout<IEEEFloat>(*semantics) && |
760 | usesLayout<IEEEFloat>(*RHS.semantics)) { |
761 | IEEE = RHS.IEEE; |
762 | } else if (usesLayout<DoubleAPFloat>(*semantics) && |
763 | usesLayout<DoubleAPFloat>(*RHS.semantics)) { |
764 | Double = RHS.Double; |
765 | } else if (this != &RHS) { |
766 | this->~Storage(); |
767 | new (this) Storage(RHS); |
768 | } |
769 | return *this; |
770 | } |
771 | |
772 | Storage &operator=(Storage &&RHS) { |
773 | if (usesLayout<IEEEFloat>(*semantics) && |
774 | usesLayout<IEEEFloat>(*RHS.semantics)) { |
775 | IEEE = std::move(RHS.IEEE); |
776 | } else if (usesLayout<DoubleAPFloat>(*semantics) && |
777 | usesLayout<DoubleAPFloat>(*RHS.semantics)) { |
778 | Double = std::move(RHS.Double); |
779 | } else if (this != &RHS) { |
780 | this->~Storage(); |
781 | new (this) Storage(std::move(RHS)); |
782 | } |
783 | return *this; |
784 | } |
785 | } U; |
786 | |
787 | template <typename T> static bool usesLayout(const fltSemantics &Semantics) { |
788 | static_assert(std::is_same<T, IEEEFloat>::value || |
789 | std::is_same<T, DoubleAPFloat>::value, ""); |
790 | if (std::is_same<T, DoubleAPFloat>::value) { |
791 | return &Semantics == &PPCDoubleDouble(); |
792 | } |
793 | return &Semantics != &PPCDoubleDouble(); |
794 | } |
795 | |
796 | IEEEFloat &getIEEE() { |
797 | if (usesLayout<IEEEFloat>(*U.semantics)) |
798 | return U.IEEE; |
799 | if (usesLayout<DoubleAPFloat>(*U.semantics)) |
800 | return U.Double.getFirst().U.IEEE; |
801 | llvm_unreachable("Unexpected semantics")::llvm::llvm_unreachable_internal("Unexpected semantics", "/build/llvm-toolchain-snapshot-11~++20200309111110+2c36c23f347/llvm/include/llvm/ADT/APFloat.h" , 801); |
802 | } |
803 | |
804 | const IEEEFloat &getIEEE() const { |
805 | if (usesLayout<IEEEFloat>(*U.semantics)) |
806 | return U.IEEE; |
807 | if (usesLayout<DoubleAPFloat>(*U.semantics)) |
808 | return U.Double.getFirst().U.IEEE; |
809 | llvm_unreachable("Unexpected semantics")::llvm::llvm_unreachable_internal("Unexpected semantics", "/build/llvm-toolchain-snapshot-11~++20200309111110+2c36c23f347/llvm/include/llvm/ADT/APFloat.h" , 809); |
810 | } |
811 | |
812 | void makeZero(bool Neg) { APFLOAT_DISPATCH_ON_SEMANTICS(makeZero(Neg)); } |
813 | |
814 | void makeInf(bool Neg) { APFLOAT_DISPATCH_ON_SEMANTICS(makeInf(Neg)); } |
815 | |
816 | void makeNaN(bool SNaN, bool Neg, const APInt *fill) { |
817 | APFLOAT_DISPATCH_ON_SEMANTICS(makeNaN(SNaN, Neg, fill)); |
818 | } |
819 | |
820 | void makeLargest(bool Neg) { |
821 | APFLOAT_DISPATCH_ON_SEMANTICS(makeLargest(Neg)); |
822 | } |
823 | |
824 | void makeSmallest(bool Neg) { |
825 | APFLOAT_DISPATCH_ON_SEMANTICS(makeSmallest(Neg)); |
826 | } |
827 | |
828 | void makeSmallestNormalized(bool Neg) { |
829 | APFLOAT_DISPATCH_ON_SEMANTICS(makeSmallestNormalized(Neg)); |
830 | } |
831 | |
832 | // FIXME: This is due to clang 3.3 (or older version) always checks for the |
833 | // default constructor in an array aggregate initialization, even if no |
834 | // elements in the array is default initialized. |
835 | APFloat() : U(IEEEdouble()) { |
836 | llvm_unreachable("This is a workaround for old clang.")::llvm::llvm_unreachable_internal("This is a workaround for old clang." , "/build/llvm-toolchain-snapshot-11~++20200309111110+2c36c23f347/llvm/include/llvm/ADT/APFloat.h" , 836); |
837 | } |
838 | |
839 | explicit APFloat(IEEEFloat F, const fltSemantics &S) : U(std::move(F), S) {} |
840 | explicit APFloat(DoubleAPFloat F, const fltSemantics &S) |
841 | : U(std::move(F), S) {} |
842 | |
843 | cmpResult compareAbsoluteValue(const APFloat &RHS) const { |
844 | assert(&getSemantics() == &RHS.getSemantics() &&((&getSemantics() == &RHS.getSemantics() && "Should only compare APFloats with the same semantics" ) ? static_cast<void> (0) : __assert_fail ("&getSemantics() == &RHS.getSemantics() && \"Should only compare APFloats with the same semantics\"" , "/build/llvm-toolchain-snapshot-11~++20200309111110+2c36c23f347/llvm/include/llvm/ADT/APFloat.h" , 845, __PRETTY_FUNCTION__)) |
845 | "Should only compare APFloats with the same semantics")((&getSemantics() == &RHS.getSemantics() && "Should only compare APFloats with the same semantics" ) ? static_cast<void> (0) : __assert_fail ("&getSemantics() == &RHS.getSemantics() && \"Should only compare APFloats with the same semantics\"" , "/build/llvm-toolchain-snapshot-11~++20200309111110+2c36c23f347/llvm/include/llvm/ADT/APFloat.h" , 845, __PRETTY_FUNCTION__)); |
846 | if (usesLayout<IEEEFloat>(getSemantics())) |
847 | return U.IEEE.compareAbsoluteValue(RHS.U.IEEE); |
848 | if (usesLayout<DoubleAPFloat>(getSemantics())) |
849 | return U.Double.compareAbsoluteValue(RHS.U.Double); |
850 | llvm_unreachable("Unexpected semantics")::llvm::llvm_unreachable_internal("Unexpected semantics", "/build/llvm-toolchain-snapshot-11~++20200309111110+2c36c23f347/llvm/include/llvm/ADT/APFloat.h" , 850); |
851 | } |
852 | |
853 | public: |
854 | APFloat(const fltSemantics &Semantics) : U(Semantics) {} |
855 | APFloat(const fltSemantics &Semantics, StringRef S); |
856 | APFloat(const fltSemantics &Semantics, integerPart I) : U(Semantics, I) {} |
857 | template <typename T, |
858 | typename = std::enable_if_t<std::is_floating_point<T>::value>> |
859 | APFloat(const fltSemantics &Semantics, T V) = delete; |
860 | // TODO: Remove this constructor. This isn't faster than the first one. |
861 | APFloat(const fltSemantics &Semantics, uninitializedTag) |
862 | : U(Semantics, uninitialized) {} |
863 | APFloat(const fltSemantics &Semantics, const APInt &I) : U(Semantics, I) {} |
864 | explicit APFloat(double d) : U(IEEEFloat(d), IEEEdouble()) {} |
865 | explicit APFloat(float f) : U(IEEEFloat(f), IEEEsingle()) {} |
866 | APFloat(const APFloat &RHS) = default; |
867 | APFloat(APFloat &&RHS) = default; |
868 | |
869 | ~APFloat() = default; |
870 | |
871 | bool needsCleanup() const { APFLOAT_DISPATCH_ON_SEMANTICS(needsCleanup()); } |
872 | |
873 | /// Factory for Positive and Negative Zero. |
874 | /// |
875 | /// \param Negative True iff the number should be negative. |
876 | static APFloat getZero(const fltSemantics &Sem, bool Negative = false) { |
877 | APFloat Val(Sem, uninitialized); |
878 | Val.makeZero(Negative); |
879 | return Val; |
880 | } |
881 | |
882 | /// Factory for Positive and Negative Infinity. |
883 | /// |
884 | /// \param Negative True iff the number should be negative. |
885 | static APFloat getInf(const fltSemantics &Sem, bool Negative = false) { |
886 | APFloat Val(Sem, uninitialized); |
887 | Val.makeInf(Negative); |
888 | return Val; |
889 | } |
890 | |
891 | /// Factory for NaN values. |
892 | /// |
893 | /// \param Negative - True iff the NaN generated should be negative. |
894 | /// \param payload - The unspecified fill bits for creating the NaN, 0 by |
895 | /// default. The value is truncated as necessary. |
896 | static APFloat getNaN(const fltSemantics &Sem, bool Negative = false, |
897 | uint64_t payload = 0) { |
898 | if (payload) { |
899 | APInt intPayload(64, payload); |
900 | return getQNaN(Sem, Negative, &intPayload); |
901 | } else { |
902 | return getQNaN(Sem, Negative, nullptr); |
903 | } |
904 | } |
905 | |
906 | /// Factory for QNaN values. |
907 | static APFloat getQNaN(const fltSemantics &Sem, bool Negative = false, |
908 | const APInt *payload = nullptr) { |
909 | APFloat Val(Sem, uninitialized); |
910 | Val.makeNaN(false, Negative, payload); |
911 | return Val; |
912 | } |
913 | |
914 | /// Factory for SNaN values. |
915 | static APFloat getSNaN(const fltSemantics &Sem, bool Negative = false, |
916 | const APInt *payload = nullptr) { |
917 | APFloat Val(Sem, uninitialized); |
918 | Val.makeNaN(true, Negative, payload); |
919 | return Val; |
920 | } |
921 | |
922 | /// Returns the largest finite number in the given semantics. |
923 | /// |
924 | /// \param Negative - True iff the number should be negative |
925 | static APFloat getLargest(const fltSemantics &Sem, bool Negative = false) { |
926 | APFloat Val(Sem, uninitialized); |
927 | Val.makeLargest(Negative); |
928 | return Val; |
929 | } |
930 | |
931 | /// Returns the smallest (by magnitude) finite number in the given semantics. |
932 | /// Might be denormalized, which implies a relative loss of precision. |
933 | /// |
934 | /// \param Negative - True iff the number should be negative |
935 | static APFloat getSmallest(const fltSemantics &Sem, bool Negative = false) { |
936 | APFloat Val(Sem, uninitialized); |
937 | Val.makeSmallest(Negative); |
938 | return Val; |
939 | } |
940 | |
941 | /// Returns the smallest (by magnitude) normalized finite number in the given |
942 | /// semantics. |
943 | /// |
944 | /// \param Negative - True iff the number should be negative |
945 | static APFloat getSmallestNormalized(const fltSemantics &Sem, |
946 | bool Negative = false) { |
947 | APFloat Val(Sem, uninitialized); |
948 | Val.makeSmallestNormalized(Negative); |
949 | return Val; |
950 | } |
951 | |
952 | /// Returns a float which is bitcasted from an all one value int. |
953 | /// |
954 | /// \param BitWidth - Select float type |
955 | /// \param isIEEE - If 128 bit number, select between PPC and IEEE |
956 | static APFloat getAllOnesValue(unsigned BitWidth, bool isIEEE = false); |
957 | |
958 | /// Used to insert APFloat objects, or objects that contain APFloat objects, |
959 | /// into FoldingSets. |
960 | void Profile(FoldingSetNodeID &NID) const; |
961 | |
962 | opStatus add(const APFloat &RHS, roundingMode RM) { |
963 | assert(&getSemantics() == &RHS.getSemantics() &&((&getSemantics() == &RHS.getSemantics() && "Should only call on two APFloats with the same semantics" ) ? static_cast<void> (0) : __assert_fail ("&getSemantics() == &RHS.getSemantics() && \"Should only call on two APFloats with the same semantics\"" , "/build/llvm-toolchain-snapshot-11~++20200309111110+2c36c23f347/llvm/include/llvm/ADT/APFloat.h" , 964, __PRETTY_FUNCTION__)) |
964 | "Should only call on two APFloats with the same semantics")((&getSemantics() == &RHS.getSemantics() && "Should only call on two APFloats with the same semantics" ) ? static_cast<void> (0) : __assert_fail ("&getSemantics() == &RHS.getSemantics() && \"Should only call on two APFloats with the same semantics\"" , "/build/llvm-toolchain-snapshot-11~++20200309111110+2c36c23f347/llvm/include/llvm/ADT/APFloat.h" , 964, __PRETTY_FUNCTION__)); |
965 | if (usesLayout<IEEEFloat>(getSemantics())) |
966 | return U.IEEE.add(RHS.U.IEEE, RM); |
967 | if (usesLayout<DoubleAPFloat>(getSemantics())) |
968 | return U.Double.add(RHS.U.Double, RM); |
969 | llvm_unreachable("Unexpected semantics")::llvm::llvm_unreachable_internal("Unexpected semantics", "/build/llvm-toolchain-snapshot-11~++20200309111110+2c36c23f347/llvm/include/llvm/ADT/APFloat.h" , 969); |
970 | } |
971 | opStatus subtract(const APFloat &RHS, roundingMode RM) { |
972 | assert(&getSemantics() == &RHS.getSemantics() &&((&getSemantics() == &RHS.getSemantics() && "Should only call on two APFloats with the same semantics" ) ? static_cast<void> (0) : __assert_fail ("&getSemantics() == &RHS.getSemantics() && \"Should only call on two APFloats with the same semantics\"" , "/build/llvm-toolchain-snapshot-11~++20200309111110+2c36c23f347/llvm/include/llvm/ADT/APFloat.h" , 973, __PRETTY_FUNCTION__)) |
973 | "Should only call on two APFloats with the same semantics")((&getSemantics() == &RHS.getSemantics() && "Should only call on two APFloats with the same semantics" ) ? static_cast<void> (0) : __assert_fail ("&getSemantics() == &RHS.getSemantics() && \"Should only call on two APFloats with the same semantics\"" , "/build/llvm-toolchain-snapshot-11~++20200309111110+2c36c23f347/llvm/include/llvm/ADT/APFloat.h" , 973, __PRETTY_FUNCTION__)); |
974 | if (usesLayout<IEEEFloat>(getSemantics())) |
975 | return U.IEEE.subtract(RHS.U.IEEE, RM); |
976 | if (usesLayout<DoubleAPFloat>(getSemantics())) |
977 | return U.Double.subtract(RHS.U.Double, RM); |
978 | llvm_unreachable("Unexpected semantics")::llvm::llvm_unreachable_internal("Unexpected semantics", "/build/llvm-toolchain-snapshot-11~++20200309111110+2c36c23f347/llvm/include/llvm/ADT/APFloat.h" , 978); |
979 | } |
980 | opStatus multiply(const APFloat &RHS, roundingMode RM) { |
981 | assert(&getSemantics() == &RHS.getSemantics() &&((&getSemantics() == &RHS.getSemantics() && "Should only call on two APFloats with the same semantics" ) ? static_cast<void> (0) : __assert_fail ("&getSemantics() == &RHS.getSemantics() && \"Should only call on two APFloats with the same semantics\"" , "/build/llvm-toolchain-snapshot-11~++20200309111110+2c36c23f347/llvm/include/llvm/ADT/APFloat.h" , 982, __PRETTY_FUNCTION__)) |
982 | "Should only call on two APFloats with the same semantics")((&getSemantics() == &RHS.getSemantics() && "Should only call on two APFloats with the same semantics" ) ? static_cast<void> (0) : __assert_fail ("&getSemantics() == &RHS.getSemantics() && \"Should only call on two APFloats with the same semantics\"" , "/build/llvm-toolchain-snapshot-11~++20200309111110+2c36c23f347/llvm/include/llvm/ADT/APFloat.h" , 982, __PRETTY_FUNCTION__)); |
983 | if (usesLayout<IEEEFloat>(getSemantics())) |
984 | return U.IEEE.multiply(RHS.U.IEEE, RM); |
985 | if (usesLayout<DoubleAPFloat>(getSemantics())) |
986 | return U.Double.multiply(RHS.U.Double, RM); |
987 | llvm_unreachable("Unexpected semantics")::llvm::llvm_unreachable_internal("Unexpected semantics", "/build/llvm-toolchain-snapshot-11~++20200309111110+2c36c23f347/llvm/include/llvm/ADT/APFloat.h" , 987); |
988 | } |
989 | opStatus divide(const APFloat &RHS, roundingMode RM) { |
990 | assert(&getSemantics() == &RHS.getSemantics() &&((&getSemantics() == &RHS.getSemantics() && "Should only call on two APFloats with the same semantics" ) ? static_cast<void> (0) : __assert_fail ("&getSemantics() == &RHS.getSemantics() && \"Should only call on two APFloats with the same semantics\"" , "/build/llvm-toolchain-snapshot-11~++20200309111110+2c36c23f347/llvm/include/llvm/ADT/APFloat.h" , 991, __PRETTY_FUNCTION__)) |
991 | "Should only call on two APFloats with the same semantics")((&getSemantics() == &RHS.getSemantics() && "Should only call on two APFloats with the same semantics" ) ? static_cast<void> (0) : __assert_fail ("&getSemantics() == &RHS.getSemantics() && \"Should only call on two APFloats with the same semantics\"" , "/build/llvm-toolchain-snapshot-11~++20200309111110+2c36c23f347/llvm/include/llvm/ADT/APFloat.h" , 991, __PRETTY_FUNCTION__)); |
992 | if (usesLayout<IEEEFloat>(getSemantics())) |
993 | return U.IEEE.divide(RHS.U.IEEE, RM); |
994 | if (usesLayout<DoubleAPFloat>(getSemantics())) |
995 | return U.Double.divide(RHS.U.Double, RM); |
996 | llvm_unreachable("Unexpected semantics")::llvm::llvm_unreachable_internal("Unexpected semantics", "/build/llvm-toolchain-snapshot-11~++20200309111110+2c36c23f347/llvm/include/llvm/ADT/APFloat.h" , 996); |
997 | } |
998 | opStatus remainder(const APFloat &RHS) { |
999 | assert(&getSemantics() == &RHS.getSemantics() &&((&getSemantics() == &RHS.getSemantics() && "Should only call on two APFloats with the same semantics" ) ? static_cast<void> (0) : __assert_fail ("&getSemantics() == &RHS.getSemantics() && \"Should only call on two APFloats with the same semantics\"" , "/build/llvm-toolchain-snapshot-11~++20200309111110+2c36c23f347/llvm/include/llvm/ADT/APFloat.h" , 1000, __PRETTY_FUNCTION__)) |
1000 | "Should only call on two APFloats with the same semantics")((&getSemantics() == &RHS.getSemantics() && "Should only call on two APFloats with the same semantics" ) ? static_cast<void> (0) : __assert_fail ("&getSemantics() == &RHS.getSemantics() && \"Should only call on two APFloats with the same semantics\"" , "/build/llvm-toolchain-snapshot-11~++20200309111110+2c36c23f347/llvm/include/llvm/ADT/APFloat.h" , 1000, __PRETTY_FUNCTION__)); |
1001 | if (usesLayout<IEEEFloat>(getSemantics())) |
1002 | return U.IEEE.remainder(RHS.U.IEEE); |
1003 | if (usesLayout<DoubleAPFloat>(getSemantics())) |
1004 | return U.Double.remainder(RHS.U.Double); |
1005 | llvm_unreachable("Unexpected semantics")::llvm::llvm_unreachable_internal("Unexpected semantics", "/build/llvm-toolchain-snapshot-11~++20200309111110+2c36c23f347/llvm/include/llvm/ADT/APFloat.h" , 1005); |
1006 | } |
1007 | opStatus mod(const APFloat &RHS) { |
1008 | assert(&getSemantics() == &RHS.getSemantics() &&((&getSemantics() == &RHS.getSemantics() && "Should only call on two APFloats with the same semantics" ) ? static_cast<void> (0) : __assert_fail ("&getSemantics() == &RHS.getSemantics() && \"Should only call on two APFloats with the same semantics\"" , "/build/llvm-toolchain-snapshot-11~++20200309111110+2c36c23f347/llvm/include/llvm/ADT/APFloat.h" , 1009, __PRETTY_FUNCTION__)) |
1009 | "Should only call on two APFloats with the same semantics")((&getSemantics() == &RHS.getSemantics() && "Should only call on two APFloats with the same semantics" ) ? static_cast<void> (0) : __assert_fail ("&getSemantics() == &RHS.getSemantics() && \"Should only call on two APFloats with the same semantics\"" , "/build/llvm-toolchain-snapshot-11~++20200309111110+2c36c23f347/llvm/include/llvm/ADT/APFloat.h" , 1009, __PRETTY_FUNCTION__)); |
1010 | if (usesLayout<IEEEFloat>(getSemantics())) |
1011 | return U.IEEE.mod(RHS.U.IEEE); |
1012 | if (usesLayout<DoubleAPFloat>(getSemantics())) |
1013 | return U.Double.mod(RHS.U.Double); |
1014 | llvm_unreachable("Unexpected semantics")::llvm::llvm_unreachable_internal("Unexpected semantics", "/build/llvm-toolchain-snapshot-11~++20200309111110+2c36c23f347/llvm/include/llvm/ADT/APFloat.h" , 1014); |
1015 | } |
1016 | opStatus fusedMultiplyAdd(const APFloat &Multiplicand, const APFloat &Addend, |
1017 | roundingMode RM) { |
1018 | assert(&getSemantics() == &Multiplicand.getSemantics() &&((&getSemantics() == &Multiplicand.getSemantics() && "Should only call on APFloats with the same semantics") ? static_cast <void> (0) : __assert_fail ("&getSemantics() == &Multiplicand.getSemantics() && \"Should only call on APFloats with the same semantics\"" , "/build/llvm-toolchain-snapshot-11~++20200309111110+2c36c23f347/llvm/include/llvm/ADT/APFloat.h" , 1019, __PRETTY_FUNCTION__)) |
1019 | "Should only call on APFloats with the same semantics")((&getSemantics() == &Multiplicand.getSemantics() && "Should only call on APFloats with the same semantics") ? static_cast <void> (0) : __assert_fail ("&getSemantics() == &Multiplicand.getSemantics() && \"Should only call on APFloats with the same semantics\"" , "/build/llvm-toolchain-snapshot-11~++20200309111110+2c36c23f347/llvm/include/llvm/ADT/APFloat.h" , 1019, __PRETTY_FUNCTION__)); |
1020 | assert(&getSemantics() == &Addend.getSemantics() &&((&getSemantics() == &Addend.getSemantics() && "Should only call on APFloats with the same semantics") ? static_cast <void> (0) : __assert_fail ("&getSemantics() == &Addend.getSemantics() && \"Should only call on APFloats with the same semantics\"" , "/build/llvm-toolchain-snapshot-11~++20200309111110+2c36c23f347/llvm/include/llvm/ADT/APFloat.h" , 1021, __PRETTY_FUNCTION__)) |
1021 | "Should only call on APFloats with the same semantics")((&getSemantics() == &Addend.getSemantics() && "Should only call on APFloats with the same semantics") ? static_cast <void> (0) : __assert_fail ("&getSemantics() == &Addend.getSemantics() && \"Should only call on APFloats with the same semantics\"" , "/build/llvm-toolchain-snapshot-11~++20200309111110+2c36c23f347/llvm/include/llvm/ADT/APFloat.h" , 1021, __PRETTY_FUNCTION__)); |
1022 | if (usesLayout<IEEEFloat>(getSemantics())) |
1023 | return U.IEEE.fusedMultiplyAdd(Multiplicand.U.IEEE, Addend.U.IEEE, RM); |
1024 | if (usesLayout<DoubleAPFloat>(getSemantics())) |
1025 | return U.Double.fusedMultiplyAdd(Multiplicand.U.Double, Addend.U.Double, |
1026 | RM); |
1027 | llvm_unreachable("Unexpected semantics")::llvm::llvm_unreachable_internal("Unexpected semantics", "/build/llvm-toolchain-snapshot-11~++20200309111110+2c36c23f347/llvm/include/llvm/ADT/APFloat.h" , 1027); |
1028 | } |
1029 | opStatus roundToIntegral(roundingMode RM) { |
1030 | APFLOAT_DISPATCH_ON_SEMANTICS(roundToIntegral(RM)); |
1031 | } |
1032 | |
1033 | // TODO: bool parameters are not readable and a source of bugs. |
1034 | // Do something. |
1035 | opStatus next(bool nextDown) { |
1036 | APFLOAT_DISPATCH_ON_SEMANTICS(next(nextDown)); |
1037 | } |
1038 | |
1039 | /// Negate an APFloat. |
1040 | APFloat operator-() const { |
1041 | APFloat Result(*this); |
1042 | Result.changeSign(); |
1043 | return Result; |
1044 | } |
1045 | |
1046 | /// Add two APFloats, rounding ties to the nearest even. |
1047 | /// No error checking. |
1048 | APFloat operator+(const APFloat &RHS) const { |
1049 | APFloat Result(*this); |
1050 | (void)Result.add(RHS, rmNearestTiesToEven); |
1051 | return Result; |
1052 | } |
1053 | |
1054 | /// Subtract two APFloats, rounding ties to the nearest even. |
1055 | /// No error checking. |
1056 | APFloat operator-(const APFloat &RHS) const { |
1057 | APFloat Result(*this); |
1058 | (void)Result.subtract(RHS, rmNearestTiesToEven); |
1059 | return Result; |
1060 | } |
1061 | |
1062 | /// Multiply two APFloats, rounding ties to the nearest even. |
1063 | /// No error checking. |
1064 | APFloat operator*(const APFloat &RHS) const { |
1065 | APFloat Result(*this); |
1066 | (void)Result.multiply(RHS, rmNearestTiesToEven); |
1067 | return Result; |
1068 | } |
1069 | |
1070 | /// Divide the first APFloat by the second, rounding ties to the nearest even. |
1071 | /// No error checking. |
1072 | APFloat operator/(const APFloat &RHS) const { |
1073 | APFloat Result(*this); |
1074 | (void)Result.divide(RHS, rmNearestTiesToEven); |
1075 | return Result; |
1076 | } |
1077 | |
1078 | void changeSign() { APFLOAT_DISPATCH_ON_SEMANTICS(changeSign()); } |
1079 | void clearSign() { |
1080 | if (isNegative()) |
1081 | changeSign(); |
1082 | } |
1083 | void copySign(const APFloat &RHS) { |
1084 | if (isNegative() != RHS.isNegative()) |
1085 | changeSign(); |
1086 | } |
1087 | |
1088 | /// A static helper to produce a copy of an APFloat value with its sign |
1089 | /// copied from some other APFloat. |
1090 | static APFloat copySign(APFloat Value, const APFloat &Sign) { |
1091 | Value.copySign(Sign); |
1092 | return Value; |
1093 | } |
1094 | |
1095 | opStatus convert(const fltSemantics &ToSemantics, roundingMode RM, |
1096 | bool *losesInfo); |
1097 | opStatus convertToInteger(MutableArrayRef<integerPart> Input, |
1098 | unsigned int Width, bool IsSigned, roundingMode RM, |
1099 | bool *IsExact) const { |
1100 | APFLOAT_DISPATCH_ON_SEMANTICS( |
1101 | convertToInteger(Input, Width, IsSigned, RM, IsExact)); |
1102 | } |
1103 | opStatus convertToInteger(APSInt &Result, roundingMode RM, |
1104 | bool *IsExact) const; |
1105 | opStatus convertFromAPInt(const APInt &Input, bool IsSigned, |
1106 | roundingMode RM) { |
1107 | APFLOAT_DISPATCH_ON_SEMANTICS(convertFromAPInt(Input, IsSigned, RM)); |
1108 | } |
1109 | opStatus convertFromSignExtendedInteger(const integerPart *Input, |
1110 | unsigned int InputSize, bool IsSigned, |
1111 | roundingMode RM) { |
1112 | APFLOAT_DISPATCH_ON_SEMANTICS( |
1113 | convertFromSignExtendedInteger(Input, InputSize, IsSigned, RM)); |
1114 | } |
1115 | opStatus convertFromZeroExtendedInteger(const integerPart *Input, |
1116 | unsigned int InputSize, bool IsSigned, |
1117 | roundingMode RM) { |
1118 | APFLOAT_DISPATCH_ON_SEMANTICS( |
1119 | convertFromZeroExtendedInteger(Input, InputSize, IsSigned, RM)); |
1120 | } |
1121 | Expected<opStatus> convertFromString(StringRef, roundingMode); |
1122 | APInt bitcastToAPInt() const { |
1123 | APFLOAT_DISPATCH_ON_SEMANTICS(bitcastToAPInt()); |
1124 | } |
1125 | double convertToDouble() const { return getIEEE().convertToDouble(); } |
1126 | float convertToFloat() const { return getIEEE().convertToFloat(); } |
1127 | |
1128 | bool operator==(const APFloat &RHS) const { return compare(RHS) == cmpEqual; } |
1129 | |
1130 | bool operator!=(const APFloat &RHS) const { return compare(RHS) != cmpEqual; } |
1131 | |
1132 | bool operator<(const APFloat &RHS) const { |
1133 | return compare(RHS) == cmpLessThan; |
1134 | } |
1135 | |
1136 | bool operator>(const APFloat &RHS) const { |
1137 | return compare(RHS) == cmpGreaterThan; |
1138 | } |
1139 | |
1140 | bool operator<=(const APFloat &RHS) const { |
1141 | cmpResult Res = compare(RHS); |
1142 | return Res == cmpLessThan || Res == cmpEqual; |
1143 | } |
1144 | |
1145 | bool operator>=(const APFloat &RHS) const { |
1146 | cmpResult Res = compare(RHS); |
1147 | return Res == cmpGreaterThan || Res == cmpEqual; |
1148 | } |
1149 | |
1150 | cmpResult compare(const APFloat &RHS) const { |
1151 | assert(&getSemantics() == &RHS.getSemantics() &&((&getSemantics() == &RHS.getSemantics() && "Should only compare APFloats with the same semantics" ) ? static_cast<void> (0) : __assert_fail ("&getSemantics() == &RHS.getSemantics() && \"Should only compare APFloats with the same semantics\"" , "/build/llvm-toolchain-snapshot-11~++20200309111110+2c36c23f347/llvm/include/llvm/ADT/APFloat.h" , 1152, __PRETTY_FUNCTION__)) |
1152 | "Should only compare APFloats with the same semantics")((&getSemantics() == &RHS.getSemantics() && "Should only compare APFloats with the same semantics" ) ? static_cast<void> (0) : __assert_fail ("&getSemantics() == &RHS.getSemantics() && \"Should only compare APFloats with the same semantics\"" , "/build/llvm-toolchain-snapshot-11~++20200309111110+2c36c23f347/llvm/include/llvm/ADT/APFloat.h" , 1152, __PRETTY_FUNCTION__)); |
1153 | if (usesLayout<IEEEFloat>(getSemantics())) |
1154 | return U.IEEE.compare(RHS.U.IEEE); |
1155 | if (usesLayout<DoubleAPFloat>(getSemantics())) |
1156 | return U.Double.compare(RHS.U.Double); |
1157 | llvm_unreachable("Unexpected semantics")::llvm::llvm_unreachable_internal("Unexpected semantics", "/build/llvm-toolchain-snapshot-11~++20200309111110+2c36c23f347/llvm/include/llvm/ADT/APFloat.h" , 1157); |
1158 | } |
1159 | |
1160 | bool bitwiseIsEqual(const APFloat &RHS) const { |
1161 | if (&getSemantics() != &RHS.getSemantics()) |
1162 | return false; |
1163 | if (usesLayout<IEEEFloat>(getSemantics())) |
1164 | return U.IEEE.bitwiseIsEqual(RHS.U.IEEE); |
1165 | if (usesLayout<DoubleAPFloat>(getSemantics())) |
1166 | return U.Double.bitwiseIsEqual(RHS.U.Double); |
1167 | llvm_unreachable("Unexpected semantics")::llvm::llvm_unreachable_internal("Unexpected semantics", "/build/llvm-toolchain-snapshot-11~++20200309111110+2c36c23f347/llvm/include/llvm/ADT/APFloat.h" , 1167); |
1168 | } |
1169 | |
1170 | /// We don't rely on operator== working on double values, as |
1171 | /// it returns true for things that are clearly not equal, like -0.0 and 0.0. |
1172 | /// As such, this method can be used to do an exact bit-for-bit comparison of |
1173 | /// two floating point values. |
1174 | /// |
1175 | /// We leave the version with the double argument here because it's just so |
1176 | /// convenient to write "2.0" and the like. Without this function we'd |
1177 | /// have to duplicate its logic everywhere it's called. |
1178 | bool isExactlyValue(double V) const { |
1179 | bool ignored; |
1180 | APFloat Tmp(V); |
1181 | Tmp.convert(getSemantics(), APFloat::rmNearestTiesToEven, &ignored); |
1182 | return bitwiseIsEqual(Tmp); |
1183 | } |
1184 | |
1185 | unsigned int convertToHexString(char *DST, unsigned int HexDigits, |
1186 | bool UpperCase, roundingMode RM) const { |
1187 | APFLOAT_DISPATCH_ON_SEMANTICS( |
1188 | convertToHexString(DST, HexDigits, UpperCase, RM)); |
1189 | } |
1190 | |
1191 | bool isZero() const { return getCategory() == fcZero; } |
1192 | bool isInfinity() const { return getCategory() == fcInfinity; } |
1193 | bool isNaN() const { return getCategory() == fcNaN; } |
1194 | |
1195 | bool isNegative() const { return getIEEE().isNegative(); } |
1196 | bool isDenormal() const { APFLOAT_DISPATCH_ON_SEMANTICS(isDenormal()); } |
1197 | bool isSignaling() const { return getIEEE().isSignaling(); } |
1198 | |
1199 | bool isNormal() const { return !isDenormal() && isFiniteNonZero(); } |
1200 | bool isFinite() const { return !isNaN() && !isInfinity(); } |
1201 | |
1202 | fltCategory getCategory() const { return getIEEE().getCategory(); } |
1203 | const fltSemantics &getSemantics() const { return *U.semantics; } |
1204 | bool isNonZero() const { return !isZero(); } |
1205 | bool isFiniteNonZero() const { return isFinite() && !isZero(); } |
1206 | bool isPosZero() const { return isZero() && !isNegative(); } |
1207 | bool isNegZero() const { return isZero() && isNegative(); } |
1208 | bool isSmallest() const { APFLOAT_DISPATCH_ON_SEMANTICS(isSmallest()); } |
1209 | bool isLargest() const { APFLOAT_DISPATCH_ON_SEMANTICS(isLargest()); } |
1210 | bool isInteger() const { APFLOAT_DISPATCH_ON_SEMANTICS(isInteger()); } |
1211 | |
1212 | APFloat &operator=(const APFloat &RHS) = default; |
1213 | APFloat &operator=(APFloat &&RHS) = default; |
1214 | |
1215 | void toString(SmallVectorImpl<char> &Str, unsigned FormatPrecision = 0, |
1216 | unsigned FormatMaxPadding = 3, bool TruncateZero = true) const { |
1217 | APFLOAT_DISPATCH_ON_SEMANTICS( |
1218 | toString(Str, FormatPrecision, FormatMaxPadding, TruncateZero)); |
1219 | } |
1220 | |
1221 | void print(raw_ostream &) const; |
1222 | void dump() const; |
1223 | |
1224 | bool getExactInverse(APFloat *inv) const { |
1225 | APFLOAT_DISPATCH_ON_SEMANTICS(getExactInverse(inv)); |
1226 | } |
1227 | |
1228 | friend hash_code hash_value(const APFloat &Arg); |
1229 | friend int ilogb(const APFloat &Arg) { return ilogb(Arg.getIEEE()); } |
1230 | friend APFloat scalbn(APFloat X, int Exp, roundingMode RM); |
1231 | friend APFloat frexp(const APFloat &X, int &Exp, roundingMode RM); |
1232 | friend IEEEFloat; |
1233 | friend DoubleAPFloat; |
1234 | }; |
1235 | |
1236 | /// See friend declarations above. |
1237 | /// |
1238 | /// These additional declarations are required in order to compile LLVM with IBM |
1239 | /// xlC compiler. |
1240 | hash_code hash_value(const APFloat &Arg); |
1241 | inline APFloat scalbn(APFloat X, int Exp, APFloat::roundingMode RM) { |
1242 | if (APFloat::usesLayout<detail::IEEEFloat>(X.getSemantics())) |
1243 | return APFloat(scalbn(X.U.IEEE, Exp, RM), X.getSemantics()); |
1244 | if (APFloat::usesLayout<detail::DoubleAPFloat>(X.getSemantics())) |
1245 | return APFloat(scalbn(X.U.Double, Exp, RM), X.getSemantics()); |
1246 | llvm_unreachable("Unexpected semantics")::llvm::llvm_unreachable_internal("Unexpected semantics", "/build/llvm-toolchain-snapshot-11~++20200309111110+2c36c23f347/llvm/include/llvm/ADT/APFloat.h" , 1246); |
1247 | } |
1248 | |
1249 | /// Equivalent of C standard library function. |
1250 | /// |
1251 | /// While the C standard says Exp is an unspecified value for infinity and nan, |
1252 | /// this returns INT_MAX for infinities, and INT_MIN for NaNs. |
1253 | inline APFloat frexp(const APFloat &X, int &Exp, APFloat::roundingMode RM) { |
1254 | if (APFloat::usesLayout<detail::IEEEFloat>(X.getSemantics())) |
1255 | return APFloat(frexp(X.U.IEEE, Exp, RM), X.getSemantics()); |
1256 | if (APFloat::usesLayout<detail::DoubleAPFloat>(X.getSemantics())) |
1257 | return APFloat(frexp(X.U.Double, Exp, RM), X.getSemantics()); |
1258 | llvm_unreachable("Unexpected semantics")::llvm::llvm_unreachable_internal("Unexpected semantics", "/build/llvm-toolchain-snapshot-11~++20200309111110+2c36c23f347/llvm/include/llvm/ADT/APFloat.h" , 1258); |
1259 | } |
1260 | /// Returns the absolute value of the argument. |
1261 | inline APFloat abs(APFloat X) { |
1262 | X.clearSign(); |
1263 | return X; |
1264 | } |
1265 | |
1266 | /// Returns the negated value of the argument. |
1267 | inline APFloat neg(APFloat X) { |
1268 | X.changeSign(); |
1269 | return X; |
1270 | } |
1271 | |
1272 | /// Implements IEEE minNum semantics. Returns the smaller of the 2 arguments if |
1273 | /// both are not NaN. If either argument is a NaN, returns the other argument. |
1274 | LLVM_READONLY__attribute__((__pure__)) |
1275 | inline APFloat minnum(const APFloat &A, const APFloat &B) { |
1276 | if (A.isNaN()) |
1277 | return B; |
1278 | if (B.isNaN()) |
1279 | return A; |
1280 | return B < A ? B : A; |
1281 | } |
1282 | |
1283 | /// Implements IEEE maxNum semantics. Returns the larger of the 2 arguments if |
1284 | /// both are not NaN. If either argument is a NaN, returns the other argument. |
1285 | LLVM_READONLY__attribute__((__pure__)) |
1286 | inline APFloat maxnum(const APFloat &A, const APFloat &B) { |
1287 | if (A.isNaN()) |
1288 | return B; |
1289 | if (B.isNaN()) |
1290 | return A; |
1291 | return A < B ? B : A; |
1292 | } |
1293 | |
1294 | /// Implements IEEE 754-2018 minimum semantics. Returns the smaller of 2 |
1295 | /// arguments, propagating NaNs and treating -0 as less than +0. |
1296 | LLVM_READONLY__attribute__((__pure__)) |
1297 | inline APFloat minimum(const APFloat &A, const APFloat &B) { |
1298 | if (A.isNaN()) |
1299 | return A; |
1300 | if (B.isNaN()) |
1301 | return B; |
1302 | if (A.isZero() && B.isZero() && (A.isNegative() != B.isNegative())) |
1303 | return A.isNegative() ? A : B; |
1304 | return B < A ? B : A; |
1305 | } |
1306 | |
1307 | /// Implements IEEE 754-2018 maximum semantics. Returns the larger of 2 |
1308 | /// arguments, propagating NaNs and treating -0 as less than +0. |
1309 | LLVM_READONLY__attribute__((__pure__)) |
1310 | inline APFloat maximum(const APFloat &A, const APFloat &B) { |
1311 | if (A.isNaN()) |
1312 | return A; |
1313 | if (B.isNaN()) |
1314 | return B; |
1315 | if (A.isZero() && B.isZero() && (A.isNegative() != B.isNegative())) |
1316 | return A.isNegative() ? B : A; |
1317 | return A < B ? B : A; |
1318 | } |
1319 | |
1320 | } // namespace llvm |
1321 | |
1322 | #undef APFLOAT_DISPATCH_ON_SEMANTICS |
1323 | #endif // LLVM_ADT_APFLOAT_H |