Bug Summary

File:out/../deps/v8/src/objects/bigint.cc
Warning:line 1103, column 57
The result of the left shift is undefined due to shifting by '65', which is greater or equal to the width of type 'uint64_t'

Annotated Source Code

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clang -cc1 -cc1 -triple x86_64-unknown-linux-gnu -analyze -disable-free -clear-ast-before-backend -disable-llvm-verifier -discard-value-names -main-file-name bigint.cc -analyzer-checker=core -analyzer-checker=apiModeling -analyzer-checker=unix -analyzer-checker=deadcode -analyzer-checker=cplusplus -analyzer-checker=security.insecureAPI.UncheckedReturn -analyzer-checker=security.insecureAPI.getpw -analyzer-checker=security.insecureAPI.gets -analyzer-checker=security.insecureAPI.mktemp -analyzer-checker=security.insecureAPI.mkstemp -analyzer-checker=security.insecureAPI.vfork -analyzer-checker=nullability.NullPassedToNonnull -analyzer-checker=nullability.NullReturnedFromNonnull -analyzer-output plist -w -setup-static-analyzer -mrelocation-model pic -pic-level 2 -pic-is-pie -mframe-pointer=all -relaxed-aliasing -fmath-errno -ffp-contract=on -fno-rounding-math -mconstructor-aliases -funwind-tables=2 -target-cpu x86-64 -tune-cpu generic -debugger-tuning=gdb -ffunction-sections -fdata-sections -fcoverage-compilation-dir=/home/maurizio/node-v18.6.0/out -resource-dir /usr/local/lib/clang/16.0.0 -D _GLIBCXX_USE_CXX11_ABI=1 -D NODE_OPENSSL_CONF_NAME=nodejs_conf -D NODE_OPENSSL_HAS_QUIC -D V8_GYP_BUILD -D V8_TYPED_ARRAY_MAX_SIZE_IN_HEAP=64 -D __STDC_FORMAT_MACROS -D OPENSSL_NO_PINSHARED -D OPENSSL_THREADS -D V8_TARGET_ARCH_X64 -D V8_HAVE_TARGET_OS -D V8_TARGET_OS_LINUX -D V8_EMBEDDER_STRING="-node.8" -D ENABLE_DISASSEMBLER -D V8_PROMISE_INTERNAL_FIELD_COUNT=1 -D V8_SHORT_BUILTIN_CALLS -D OBJECT_PRINT -D V8_INTL_SUPPORT -D V8_ATOMIC_OBJECT_FIELD_WRITES -D V8_ENABLE_LAZY_SOURCE_POSITIONS -D V8_USE_SIPHASH -D V8_SHARED_RO_HEAP -D V8_WIN64_UNWINDING_INFO -D V8_ENABLE_REGEXP_INTERPRETER_THREADED_DISPATCH -D V8_SNAPSHOT_COMPRESSION -D V8_ENABLE_WEBASSEMBLY -D V8_ENABLE_JAVASCRIPT_PROMISE_HOOKS -D V8_ALLOCATION_FOLDING -D V8_ALLOCATION_SITE_TRACKING -D V8_SCRIPTORMODULE_LEGACY_LIFETIME -D V8_ADVANCED_BIGINT_ALGORITHMS -D ICU_UTIL_DATA_IMPL=ICU_UTIL_DATA_STATIC -D UCONFIG_NO_SERVICE=1 -D U_ENABLE_DYLOAD=0 -D U_STATIC_IMPLEMENTATION=1 -D U_HAVE_STD_STRING=1 -D UCONFIG_NO_BREAK_ITERATION=0 -I ../deps/v8 -I ../deps/v8/include -I /home/maurizio/node-v18.6.0/out/Release/obj/gen/inspector-generated-output-root -I ../deps/v8/third_party/inspector_protocol -I /home/maurizio/node-v18.6.0/out/Release/obj/gen -I /home/maurizio/node-v18.6.0/out/Release/obj/gen/generate-bytecode-output-root -I ../deps/icu-small/source/i18n -I ../deps/icu-small/source/common -I ../deps/v8/third_party/zlib -I ../deps/v8/third_party/zlib/google -internal-isystem /usr/lib/gcc/x86_64-redhat-linux/8/../../../../include/c++/8 -internal-isystem /usr/lib/gcc/x86_64-redhat-linux/8/../../../../include/c++/8/x86_64-redhat-linux -internal-isystem /usr/lib/gcc/x86_64-redhat-linux/8/../../../../include/c++/8/backward -internal-isystem /usr/local/lib/clang/16.0.0/include -internal-isystem /usr/local/include -internal-isystem /usr/lib/gcc/x86_64-redhat-linux/8/../../../../x86_64-redhat-linux/include -internal-externc-isystem /include -internal-externc-isystem /usr/include -O3 -Wno-unused-parameter -Wno-return-type -std=gnu++17 -fdeprecated-macro -fdebug-compilation-dir=/home/maurizio/node-v18.6.0/out -ferror-limit 19 -fno-rtti -fgnuc-version=4.2.1 -vectorize-loops -vectorize-slp -analyzer-output=html -faddrsig -D__GCC_HAVE_DWARF2_CFI_ASM=1 -o /tmp/scan-build-2022-08-22-142216-507842-1 -x c++ ../deps/v8/src/objects/bigint.cc
1// Copyright 2017 the V8 project authors. All rights reserved.
2// Use of this source code is governed by a BSD-style license that can be
3// found in the LICENSE file.
4
5// Parts of the implementation below:
6
7// Copyright (c) 2014 the Dart project authors. Please see the AUTHORS file [1]
8// for details. All rights reserved. Use of this source code is governed by a
9// BSD-style license that can be found in the LICENSE file [2].
10//
11// [1] https://github.com/dart-lang/sdk/blob/master/AUTHORS
12// [2] https://github.com/dart-lang/sdk/blob/master/LICENSE
13
14// Copyright 2009 The Go Authors. All rights reserved.
15// Use of this source code is governed by a BSD-style
16// license that can be found in the LICENSE file [3].
17//
18// [3] https://golang.org/LICENSE
19
20#include "src/objects/bigint.h"
21
22#include "src/base/numbers/double.h"
23#include "src/bigint/bigint.h"
24#include "src/execution/isolate-inl.h"
25#include "src/heap/factory.h"
26#include "src/heap/heap-write-barrier-inl.h"
27#include "src/numbers/conversions.h"
28#include "src/objects/heap-number-inl.h"
29#include "src/objects/instance-type-inl.h"
30#include "src/objects/objects-inl.h"
31#include "src/objects/smi.h"
32
33namespace v8 {
34namespace internal {
35
36// The MutableBigInt class is an implementation detail designed to prevent
37// accidental mutation of a BigInt after its construction. Step-by-step
38// construction of a BigInt must happen in terms of MutableBigInt, the
39// final result is then passed through MutableBigInt::MakeImmutable and not
40// modified further afterwards.
41// Many of the functions in this class use arguments of type {BigIntBase},
42// indicating that they will be used in a read-only capacity, and both
43// {BigInt} and {MutableBigInt} objects can be passed in.
44class MutableBigInt : public FreshlyAllocatedBigInt {
45 public:
46 // Bottleneck for converting MutableBigInts to BigInts.
47 static MaybeHandle<BigInt> MakeImmutable(MaybeHandle<MutableBigInt> maybe);
48 template <typename Isolate = v8::internal::Isolate>
49 static Handle<BigInt> MakeImmutable(Handle<MutableBigInt> result);
50
51 static void Canonicalize(MutableBigInt result);
52
53 // Allocation helpers.
54 template <typename IsolateT>
55 static MaybeHandle<MutableBigInt> New(
56 IsolateT* isolate, int length,
57 AllocationType allocation = AllocationType::kYoung);
58 static Handle<BigInt> NewFromInt(Isolate* isolate, int value);
59 static Handle<BigInt> NewFromDouble(Isolate* isolate, double value);
60 void InitializeDigits(int length, byte value = 0);
61 static Handle<MutableBigInt> Copy(Isolate* isolate,
62 Handle<BigIntBase> source);
63 template <typename IsolateT>
64 static Handle<BigInt> Zero(
65 IsolateT* isolate, AllocationType allocation = AllocationType::kYoung) {
66 // TODO(jkummerow): Consider caching a canonical zero-BigInt.
67 return MakeImmutable<IsolateT>(
68 New(isolate, 0, allocation).ToHandleChecked());
69 }
70
71 static Handle<MutableBigInt> Cast(Handle<FreshlyAllocatedBigInt> bigint) {
72 SLOW_DCHECK(bigint->IsBigInt())((void)0);
73 return Handle<MutableBigInt>::cast(bigint);
74 }
75 static MutableBigInt cast(Object o) {
76 SLOW_DCHECK(o.IsBigInt())((void)0);
77 return MutableBigInt(o.ptr());
78 }
79 static MutableBigInt unchecked_cast(Object o) {
80 return MutableBigInt(o.ptr());
81 }
82
83 // Internal helpers.
84 static MaybeHandle<MutableBigInt> AbsoluteAddOne(
85 Isolate* isolate, Handle<BigIntBase> x, bool sign,
86 MutableBigInt result_storage = MutableBigInt());
87 static Handle<MutableBigInt> AbsoluteSubOne(Isolate* isolate,
88 Handle<BigIntBase> x);
89
90 // Specialized helpers for shift operations.
91 static MaybeHandle<BigInt> LeftShiftByAbsolute(Isolate* isolate,
92 Handle<BigIntBase> x,
93 Handle<BigIntBase> y);
94 static Handle<BigInt> RightShiftByAbsolute(Isolate* isolate,
95 Handle<BigIntBase> x,
96 Handle<BigIntBase> y);
97 static Handle<BigInt> RightShiftByMaximum(Isolate* isolate, bool sign);
98 static Maybe<digit_t> ToShiftAmount(Handle<BigIntBase> x);
99
100 static double ToDouble(Handle<BigIntBase> x);
101 enum Rounding { kRoundDown, kTie, kRoundUp };
102 static Rounding DecideRounding(Handle<BigIntBase> x, int mantissa_bits_unset,
103 int digit_index, uint64_t current_digit);
104
105 // Returns the least significant 64 bits, simulating two's complement
106 // representation.
107 static uint64_t GetRawBits(BigIntBase x, bool* lossless);
108
109 static inline bool digit_ismax(digit_t x) {
110 return static_cast<digit_t>(~x) == 0;
111 }
112
113// Internal field setters. Non-mutable BigInts don't have these.
114#include "src/objects/object-macros.h"
115 inline void set_sign(bool new_sign) {
116 int32_t bitfield = RELAXED_READ_INT32_FIELD(*this, kBitfieldOffset);
117 bitfield = SignBits::update(bitfield, new_sign);
118 RELAXED_WRITE_INT32_FIELD(*this, kBitfieldOffset, bitfield);
119 }
120 inline void set_length(int new_length, ReleaseStoreTag) {
121 int32_t bitfield = RELAXED_READ_INT32_FIELD(*this, kBitfieldOffset);
122 bitfield = LengthBits::update(bitfield, new_length);
123 RELEASE_WRITE_INT32_FIELD(*this, kBitfieldOffset, bitfield);
124 }
125 inline void initialize_bitfield(bool sign, int length) {
126 int32_t bitfield = LengthBits::encode(length) | SignBits::encode(sign);
127 WriteField<int32_t>(kBitfieldOffset, bitfield);
128 }
129 inline void set_digit(int n, digit_t value) {
130 SLOW_DCHECK(0 <= n && n < length())((void)0);
131 WriteField<digit_t>(kDigitsOffset + n * kDigitSize, value);
132 }
133
134 void set_64_bits(uint64_t bits);
135
136 bool IsMutableBigInt() const { return IsBigInt(); }
137
138 static_assert(std::is_same<bigint::digit_t, BigIntBase::digit_t>::value,
139 "We must be able to call BigInt library functions");
140
141 NEVER_READ_ONLY_SPACE
142
143 OBJECT_CONSTRUCTORS(MutableBigInt, FreshlyAllocatedBigInt);
144};
145
146OBJECT_CONSTRUCTORS_IMPL(MutableBigInt, FreshlyAllocatedBigInt)
147NEVER_READ_ONLY_SPACE_IMPL(MutableBigInt)
148
149#include "src/base/platform/wrappers.h"
150#include "src/objects/object-macros-undef.h"
151
152bigint::Digits GetDigits(BigIntBase bigint) {
153 return bigint::Digits(
154 reinterpret_cast<bigint::digit_t*>(
155 bigint.ptr() + BigIntBase::kDigitsOffset - kHeapObjectTag),
156 bigint.length());
157}
158bigint::Digits GetDigits(Handle<BigIntBase> bigint) {
159 return GetDigits(*bigint);
160}
161
162bigint::RWDigits GetRWDigits(MutableBigInt bigint) {
163 return bigint::RWDigits(
164 reinterpret_cast<bigint::digit_t*>(
165 bigint.ptr() + BigIntBase::kDigitsOffset - kHeapObjectTag),
166 bigint.length());
167}
168bigint::RWDigits GetRWDigits(Handle<MutableBigInt> bigint) {
169 return GetRWDigits(*bigint);
170}
171
172template <typename T, typename Isolate>
173MaybeHandle<T> ThrowBigIntTooBig(Isolate* isolate) {
174 // If the result of a BigInt computation is truncated to 64 bit, Turbofan
175 // can sometimes truncate intermediate results already, which can prevent
176 // those from exceeding the maximum length, effectively preventing a
177 // RangeError from being thrown. As this is a performance optimization, this
178 // behavior is accepted. To prevent the correctness fuzzer from detecting this
179 // difference, we crash the program.
180 if (FLAG_correctness_fuzzer_suppressions) {
181 FATAL("Aborting on invalid BigInt length")V8_Fatal("Aborting on invalid BigInt length");
182 }
183 THROW_NEW_ERROR(isolate, NewRangeError(MessageTemplate::kBigIntTooBig), T)do { auto* __isolate__ = (isolate); return __isolate__->template
Throw<T>(__isolate__->factory()->NewRangeError(MessageTemplate
::kBigIntTooBig)); } while (false)
;
184}
185
186template <typename IsolateT>
187MaybeHandle<MutableBigInt> MutableBigInt::New(IsolateT* isolate, int length,
188 AllocationType allocation) {
189 if (length > BigInt::kMaxLength) {
190 return ThrowBigIntTooBig<MutableBigInt>(isolate);
191 }
192 Handle<MutableBigInt> result =
193 Cast(isolate->factory()->NewBigInt(length, allocation));
194 result->initialize_bitfield(false, length);
195#if DEBUG
196 result->InitializeDigits(length, 0xBF);
197#endif
198 return result;
199}
200
201Handle<BigInt> MutableBigInt::NewFromInt(Isolate* isolate, int value) {
202 if (value == 0) return Zero(isolate);
203 Handle<MutableBigInt> result = Cast(isolate->factory()->NewBigInt(1));
204 bool sign = value < 0;
205 result->initialize_bitfield(sign, 1);
206 if (!sign) {
207 result->set_digit(0, value);
208 } else {
209 if (value == kMinInt) {
210 STATIC_ASSERT(kMinInt == -kMaxInt - 1)static_assert(kMinInt == -kMaxInt - 1, "kMinInt == -kMaxInt - 1"
)
;
211 result->set_digit(0, static_cast<BigInt::digit_t>(kMaxInt) + 1);
212 } else {
213 result->set_digit(0, -value);
214 }
215 }
216 return MakeImmutable(result);
217}
218
219Handle<BigInt> MutableBigInt::NewFromDouble(Isolate* isolate, double value) {
220 DCHECK_EQ(value, std::floor(value))((void) 0);
221 if (value == 0) return Zero(isolate);
222
223 bool sign = value < 0; // -0 was already handled above.
224 uint64_t double_bits = bit_cast<uint64_t>(value);
225 int raw_exponent =
226 static_cast<int>(double_bits >> base::Double::kPhysicalSignificandSize) &
227 0x7FF;
228 DCHECK_NE(raw_exponent, 0x7FF)((void) 0);
229 DCHECK_GE(raw_exponent, 0x3FF)((void) 0);
230 int exponent = raw_exponent - 0x3FF;
231 int digits = exponent / kDigitBits + 1;
232 Handle<MutableBigInt> result = Cast(isolate->factory()->NewBigInt(digits));
233 result->initialize_bitfield(sign, digits);
234
235 // We construct a BigInt from the double {value} by shifting its mantissa
236 // according to its exponent and mapping the bit pattern onto digits.
237 //
238 // <----------- bitlength = exponent + 1 ----------->
239 // <----- 52 ------> <------ trailing zeroes ------>
240 // mantissa: 1yyyyyyyyyyyyyyyyy 0000000000000000000000000000000
241 // digits: 0001xxxx xxxxxxxx xxxxxxxx xxxxxxxx xxxxxxxx xxxxxxxx
242 // <--> <------>
243 // msd_topbit kDigitBits
244 //
245 uint64_t mantissa =
246 (double_bits & base::Double::kSignificandMask) | base::Double::kHiddenBit;
247 const int kMantissaTopBit = base::Double::kSignificandSize - 1; // 0-indexed.
248 // 0-indexed position of most significant bit in the most significant digit.
249 int msd_topbit = exponent % kDigitBits;
250 // Number of unused bits in {mantissa}. We'll keep them shifted to the
251 // left (i.e. most significant part) of the underlying uint64_t.
252 int remaining_mantissa_bits = 0;
253 // Next digit under construction.
254 digit_t digit;
255
256 // First, build the MSD by shifting the mantissa appropriately.
257 if (msd_topbit < kMantissaTopBit) {
258 remaining_mantissa_bits = kMantissaTopBit - msd_topbit;
259 digit = mantissa >> remaining_mantissa_bits;
260 mantissa = mantissa << (64 - remaining_mantissa_bits);
261 } else {
262 DCHECK_GE(msd_topbit, kMantissaTopBit)((void) 0);
263 digit = mantissa << (msd_topbit - kMantissaTopBit);
264 mantissa = 0;
265 }
266 result->set_digit(digits - 1, digit);
267 // Then fill in the rest of the digits.
268 for (int digit_index = digits - 2; digit_index >= 0; digit_index--) {
269 if (remaining_mantissa_bits > 0) {
270 remaining_mantissa_bits -= kDigitBits;
271 if (sizeof(digit) == 4) {
272 digit = mantissa >> 32;
273 mantissa = mantissa << 32;
274 } else {
275 DCHECK_EQ(sizeof(digit), 8)((void) 0);
276 digit = mantissa;
277 mantissa = 0;
278 }
279 } else {
280 digit = 0;
281 }
282 result->set_digit(digit_index, digit);
283 }
284 return MakeImmutable(result);
285}
286
287Handle<MutableBigInt> MutableBigInt::Copy(Isolate* isolate,
288 Handle<BigIntBase> source) {
289 int length = source->length();
290 // Allocating a BigInt of the same length as an existing BigInt cannot throw.
291 Handle<MutableBigInt> result = New(isolate, length).ToHandleChecked();
292 memcpy(reinterpret_cast<void*>(result->address() + BigIntBase::kHeaderSize),
293 reinterpret_cast<void*>(source->address() + BigIntBase::kHeaderSize),
294 BigInt::SizeFor(length) - BigIntBase::kHeaderSize);
295 return result;
296}
297
298void MutableBigInt::InitializeDigits(int length, byte value) {
299 memset(reinterpret_cast<void*>(ptr() + kDigitsOffset - kHeapObjectTag), value,
300 length * kDigitSize);
301}
302
303MaybeHandle<BigInt> MutableBigInt::MakeImmutable(
304 MaybeHandle<MutableBigInt> maybe) {
305 Handle<MutableBigInt> result;
306 if (!maybe.ToHandle(&result)) return MaybeHandle<BigInt>();
307 return MakeImmutable(result);
308}
309
310template <typename IsolateT>
311Handle<BigInt> MutableBigInt::MakeImmutable(Handle<MutableBigInt> result) {
312 MutableBigInt::Canonicalize(*result);
313 return Handle<BigInt>::cast(result);
314}
315
316void MutableBigInt::Canonicalize(MutableBigInt result) {
317 // Check if we need to right-trim any leading zero-digits.
318 int old_length = result.length();
319 int new_length = old_length;
320 while (new_length > 0 && result.digit(new_length - 1) == 0) new_length--;
321 int to_trim = old_length - new_length;
322 if (to_trim != 0) {
323 int size_delta = to_trim * MutableBigInt::kDigitSize;
324 Address new_end = result.address() + BigInt::SizeFor(new_length);
325 Heap* heap = result.GetHeap();
326 if (!heap->IsLargeObject(result)) {
327 // We do not create a filler for objects in large object space.
328 // TODO(hpayer): We should shrink the large object page if the size
329 // of the object changed significantly.
330 heap->CreateFillerObjectAt(new_end, size_delta, ClearRecordedSlots::kNo);
331 }
332 result.set_length(new_length, kReleaseStore);
333
334 // Canonicalize -0n.
335 if (new_length == 0) {
336 result.set_sign(false);
337 // TODO(jkummerow): If we cache a canonical 0n, return that here.
338 }
339 }
340 DCHECK_IMPLIES(result.length() > 0,((void) 0)
341 result.digit(result.length() - 1) != 0)((void) 0); // MSD is non-zero.
342}
343
344template <typename IsolateT>
345Handle<BigInt> BigInt::Zero(IsolateT* isolate, AllocationType allocation) {
346 return MutableBigInt::Zero(isolate, allocation);
347}
348template Handle<BigInt> BigInt::Zero(Isolate* isolate,
349 AllocationType allocation);
350template Handle<BigInt> BigInt::Zero(LocalIsolate* isolate,
351 AllocationType allocation);
352
353Handle<BigInt> BigInt::UnaryMinus(Isolate* isolate, Handle<BigInt> x) {
354 // Special case: There is no -0n.
355 if (x->is_zero()) {
356 return x;
357 }
358 Handle<MutableBigInt> result = MutableBigInt::Copy(isolate, x);
359 result->set_sign(!x->sign());
360 return MutableBigInt::MakeImmutable(result);
361}
362
363MaybeHandle<BigInt> BigInt::BitwiseNot(Isolate* isolate, Handle<BigInt> x) {
364 MaybeHandle<MutableBigInt> result;
365 if (x->sign()) {
366 // ~(-x) == ~(~(x-1)) == x-1
367 result = MutableBigInt::AbsoluteSubOne(isolate, x);
368 } else {
369 // ~x == -x-1 == -(x+1)
370 result = MutableBigInt::AbsoluteAddOne(isolate, x, true);
371 }
372 return MutableBigInt::MakeImmutable(result);
373}
374
375MaybeHandle<BigInt> BigInt::Exponentiate(Isolate* isolate, Handle<BigInt> base,
376 Handle<BigInt> exponent) {
377 // 1. If exponent is < 0, throw a RangeError exception.
378 if (exponent->sign()) {
379 THROW_NEW_ERROR(isolate,do { auto* __isolate__ = (isolate); return __isolate__->template
Throw<BigInt>(__isolate__->factory()->NewRangeError
(MessageTemplate::kBigIntNegativeExponent)); } while (false)
380 NewRangeError(MessageTemplate::kBigIntNegativeExponent),do { auto* __isolate__ = (isolate); return __isolate__->template
Throw<BigInt>(__isolate__->factory()->NewRangeError
(MessageTemplate::kBigIntNegativeExponent)); } while (false)
381 BigInt)do { auto* __isolate__ = (isolate); return __isolate__->template
Throw<BigInt>(__isolate__->factory()->NewRangeError
(MessageTemplate::kBigIntNegativeExponent)); } while (false)
;
382 }
383 // 2. If base is 0n and exponent is 0n, return 1n.
384 if (exponent->is_zero()) {
385 return MutableBigInt::NewFromInt(isolate, 1);
386 }
387 // 3. Return a BigInt representing the mathematical value of base raised
388 // to the power exponent.
389 if (base->is_zero()) return base;
390 if (base->length() == 1 && base->digit(0) == 1) {
391 // (-1) ** even_number == 1.
392 if (base->sign() && (exponent->digit(0) & 1) == 0) {
393 return UnaryMinus(isolate, base);
394 }
395 // (-1) ** odd_number == -1; 1 ** anything == 1.
396 return base;
397 }
398 // For all bases >= 2, very large exponents would lead to unrepresentable
399 // results.
400 STATIC_ASSERT(kMaxLengthBits < std::numeric_limits<digit_t>::max())static_assert(kMaxLengthBits < std::numeric_limits<digit_t
>::max(), "kMaxLengthBits < std::numeric_limits<digit_t>::max()"
)
;
401 if (exponent->length() > 1) {
402 return ThrowBigIntTooBig<BigInt>(isolate);
403 }
404 digit_t exp_value = exponent->digit(0);
405 if (exp_value == 1) return base;
406 if (exp_value >= kMaxLengthBits) {
407 return ThrowBigIntTooBig<BigInt>(isolate);
408 }
409 STATIC_ASSERT(kMaxLengthBits <= kMaxInt)static_assert(kMaxLengthBits <= kMaxInt, "kMaxLengthBits <= kMaxInt"
)
;
410 int n = static_cast<int>(exp_value);
411 if (base->length() == 1 && base->digit(0) == 2) {
412 // Fast path for 2^n.
413 int needed_digits = 1 + (n / kDigitBits);
414 Handle<MutableBigInt> result;
415 if (!MutableBigInt::New(isolate, needed_digits).ToHandle(&result)) {
416 return MaybeHandle<BigInt>();
417 }
418 result->InitializeDigits(needed_digits);
419 // All bits are zero. Now set the n-th bit.
420 digit_t msd = static_cast<digit_t>(1) << (n % kDigitBits);
421 result->set_digit(needed_digits - 1, msd);
422 // Result is negative for odd powers of -2n.
423 if (base->sign()) result->set_sign((n & 1) != 0);
424 return MutableBigInt::MakeImmutable(result);
425 }
426 Handle<BigInt> result;
427 Handle<BigInt> running_square = base;
428 // This implicitly sets the result's sign correctly.
429 if (n & 1) result = base;
430 n >>= 1;
431 for (; n != 0; n >>= 1) {
432 MaybeHandle<BigInt> maybe_result =
433 Multiply(isolate, running_square, running_square);
434 if (!maybe_result.ToHandle(&running_square)) return maybe_result;
435 if (n & 1) {
436 if (result.is_null()) {
437 result = running_square;
438 } else {
439 maybe_result = Multiply(isolate, result, running_square);
440 if (!maybe_result.ToHandle(&result)) return maybe_result;
441 }
442 }
443 }
444 return result;
445}
446
447MaybeHandle<BigInt> BigInt::Multiply(Isolate* isolate, Handle<BigInt> x,
448 Handle<BigInt> y) {
449 if (x->is_zero()) return x;
450 if (y->is_zero()) return y;
451 int result_length = bigint::MultiplyResultLength(GetDigits(x), GetDigits(y));
452 Handle<MutableBigInt> result;
453 if (!MutableBigInt::New(isolate, result_length).ToHandle(&result)) {
454 return MaybeHandle<BigInt>();
455 }
456 DisallowGarbageCollection no_gc;
457 bigint::Status status = isolate->bigint_processor()->Multiply(
458 GetRWDigits(result), GetDigits(x), GetDigits(y));
459 if (status == bigint::Status::kInterrupted) {
460 AllowGarbageCollection terminating_anyway;
461 isolate->TerminateExecution();
462 return {};
463 }
464 result->set_sign(x->sign() != y->sign());
465 return MutableBigInt::MakeImmutable(result);
466}
467
468MaybeHandle<BigInt> BigInt::Divide(Isolate* isolate, Handle<BigInt> x,
469 Handle<BigInt> y) {
470 // 1. If y is 0n, throw a RangeError exception.
471 if (y->is_zero()) {
472 THROW_NEW_ERROR(isolate, NewRangeError(MessageTemplate::kBigIntDivZero),do { auto* __isolate__ = (isolate); return __isolate__->template
Throw<BigInt>(__isolate__->factory()->NewRangeError
(MessageTemplate::kBigIntDivZero)); } while (false)
473 BigInt)do { auto* __isolate__ = (isolate); return __isolate__->template
Throw<BigInt>(__isolate__->factory()->NewRangeError
(MessageTemplate::kBigIntDivZero)); } while (false)
;
474 }
475 // 2. Let quotient be the mathematical value of x divided by y.
476 // 3. Return a BigInt representing quotient rounded towards 0 to the next
477 // integral value.
478 if (bigint::Compare(GetDigits(x), GetDigits(y)) < 0) {
479 return Zero(isolate);
480 }
481 bool result_sign = x->sign() != y->sign();
482 if (y->length() == 1 && y->digit(0) == 1) {
483 return result_sign == x->sign() ? x : UnaryMinus(isolate, x);
484 }
485 Handle<MutableBigInt> quotient;
486 int result_length = bigint::DivideResultLength(GetDigits(x), GetDigits(y));
487 if (!MutableBigInt::New(isolate, result_length).ToHandle(&quotient)) {
488 return {};
489 }
490 DisallowGarbageCollection no_gc;
491 bigint::Status status = isolate->bigint_processor()->Divide(
492 GetRWDigits(quotient), GetDigits(x), GetDigits(y));
493 if (status == bigint::Status::kInterrupted) {
494 AllowGarbageCollection terminating_anyway;
495 isolate->TerminateExecution();
496 return {};
497 }
498 quotient->set_sign(result_sign);
499 return MutableBigInt::MakeImmutable(quotient);
500}
501
502MaybeHandle<BigInt> BigInt::Remainder(Isolate* isolate, Handle<BigInt> x,
503 Handle<BigInt> y) {
504 // 1. If y is 0n, throw a RangeError exception.
505 if (y->is_zero()) {
506 THROW_NEW_ERROR(isolate, NewRangeError(MessageTemplate::kBigIntDivZero),do { auto* __isolate__ = (isolate); return __isolate__->template
Throw<BigInt>(__isolate__->factory()->NewRangeError
(MessageTemplate::kBigIntDivZero)); } while (false)
507 BigInt)do { auto* __isolate__ = (isolate); return __isolate__->template
Throw<BigInt>(__isolate__->factory()->NewRangeError
(MessageTemplate::kBigIntDivZero)); } while (false)
;
508 }
509 // 2. Return the BigInt representing x modulo y.
510 // See https://github.com/tc39/proposal-bigint/issues/84 though.
511 if (bigint::Compare(GetDigits(x), GetDigits(y)) < 0) return x;
512 if (y->length() == 1 && y->digit(0) == 1) return Zero(isolate);
513 Handle<MutableBigInt> remainder;
514 int result_length = bigint::ModuloResultLength(GetDigits(y));
515 if (!MutableBigInt::New(isolate, result_length).ToHandle(&remainder)) {
516 return {};
517 }
518 DisallowGarbageCollection no_gc;
519 bigint::Status status = isolate->bigint_processor()->Modulo(
520 GetRWDigits(remainder), GetDigits(x), GetDigits(y));
521 if (status == bigint::Status::kInterrupted) {
522 AllowGarbageCollection terminating_anyway;
523 isolate->TerminateExecution();
524 return {};
525 }
526 remainder->set_sign(x->sign());
527 return MutableBigInt::MakeImmutable(remainder);
528}
529
530MaybeHandle<BigInt> BigInt::Add(Isolate* isolate, Handle<BigInt> x,
531 Handle<BigInt> y) {
532 if (x->is_zero()) return y;
533 if (y->is_zero()) return x;
534 bool xsign = x->sign();
535 bool ysign = y->sign();
536 int result_length =
537 bigint::AddSignedResultLength(x->length(), y->length(), xsign == ysign);
538 Handle<MutableBigInt> result;
539 if (!MutableBigInt::New(isolate, result_length).ToHandle(&result)) {
540 // Allocation fails when {result_length} exceeds the max BigInt size.
541 return {};
542 }
543 DisallowGarbageCollection no_gc;
544 bool result_sign = bigint::AddSigned(GetRWDigits(result), GetDigits(x), xsign,
545 GetDigits(y), ysign);
546 result->set_sign(result_sign);
547 return MutableBigInt::MakeImmutable(result);
548}
549
550MaybeHandle<BigInt> BigInt::Subtract(Isolate* isolate, Handle<BigInt> x,
551 Handle<BigInt> y) {
552 if (y->is_zero()) return x;
553 if (x->is_zero()) return UnaryMinus(isolate, y);
554 bool xsign = x->sign();
555 bool ysign = y->sign();
556 int result_length = bigint::SubtractSignedResultLength(
557 x->length(), y->length(), xsign == ysign);
558 Handle<MutableBigInt> result;
559 if (!MutableBigInt::New(isolate, result_length).ToHandle(&result)) {
560 // Allocation fails when {result_length} exceeds the max BigInt size.
561 return {};
562 }
563 DisallowGarbageCollection no_gc;
564 bool result_sign = bigint::SubtractSigned(GetRWDigits(result), GetDigits(x),
565 xsign, GetDigits(y), ysign);
566 result->set_sign(result_sign);
567 return MutableBigInt::MakeImmutable(result);
568}
569
570MaybeHandle<BigInt> BigInt::LeftShift(Isolate* isolate, Handle<BigInt> x,
571 Handle<BigInt> y) {
572 if (y->is_zero() || x->is_zero()) return x;
573 if (y->sign()) return MutableBigInt::RightShiftByAbsolute(isolate, x, y);
574 return MutableBigInt::LeftShiftByAbsolute(isolate, x, y);
575}
576
577MaybeHandle<BigInt> BigInt::SignedRightShift(Isolate* isolate, Handle<BigInt> x,
578 Handle<BigInt> y) {
579 if (y->is_zero() || x->is_zero()) return x;
580 if (y->sign()) return MutableBigInt::LeftShiftByAbsolute(isolate, x, y);
581 return MutableBigInt::RightShiftByAbsolute(isolate, x, y);
582}
583
584MaybeHandle<BigInt> BigInt::UnsignedRightShift(Isolate* isolate,
585 Handle<BigInt> x,
586 Handle<BigInt> y) {
587 THROW_NEW_ERROR(isolate, NewTypeError(MessageTemplate::kBigIntShr), BigInt)do { auto* __isolate__ = (isolate); return __isolate__->template
Throw<BigInt>(__isolate__->factory()->NewTypeError
(MessageTemplate::kBigIntShr)); } while (false)
;
588}
589
590namespace {
591
592// Produces comparison result for {left_negative} == sign(x) != sign(y).
593ComparisonResult UnequalSign(bool left_negative) {
594 return left_negative ? ComparisonResult::kLessThan
595 : ComparisonResult::kGreaterThan;
596}
597
598// Produces result for |x| > |y|, with {both_negative} == sign(x) == sign(y);
599ComparisonResult AbsoluteGreater(bool both_negative) {
600 return both_negative ? ComparisonResult::kLessThan
601 : ComparisonResult::kGreaterThan;
602}
603
604// Produces result for |x| < |y|, with {both_negative} == sign(x) == sign(y).
605ComparisonResult AbsoluteLess(bool both_negative) {
606 return both_negative ? ComparisonResult::kGreaterThan
607 : ComparisonResult::kLessThan;
608}
609
610} // namespace
611
612// (Never returns kUndefined.)
613ComparisonResult BigInt::CompareToBigInt(Handle<BigInt> x, Handle<BigInt> y) {
614 bool x_sign = x->sign();
615 if (x_sign != y->sign()) return UnequalSign(x_sign);
616
617 int result = bigint::Compare(GetDigits(x), GetDigits(y));
618 if (result > 0) return AbsoluteGreater(x_sign);
619 if (result < 0) return AbsoluteLess(x_sign);
620 return ComparisonResult::kEqual;
621}
622
623bool BigInt::EqualToBigInt(BigInt x, BigInt y) {
624 if (x.sign() != y.sign()) return false;
625 if (x.length() != y.length()) return false;
626 for (int i = 0; i < x.length(); i++) {
627 if (x.digit(i) != y.digit(i)) return false;
628 }
629 return true;
630}
631
632MaybeHandle<BigInt> BigInt::BitwiseAnd(Isolate* isolate, Handle<BigInt> x,
633 Handle<BigInt> y) {
634 bool x_sign = x->sign();
635 bool y_sign = y->sign();
636 Handle<MutableBigInt> result;
637 if (!x_sign && !y_sign) {
638 int result_length =
639 bigint::BitwiseAnd_PosPos_ResultLength(x->length(), y->length());
640 result = MutableBigInt::New(isolate, result_length).ToHandleChecked();
641 bigint::BitwiseAnd_PosPos(GetRWDigits(result), GetDigits(x), GetDigits(y));
642 DCHECK(!result->sign())((void) 0);
643 } else if (x_sign && y_sign) {
644 int result_length =
645 bigint::BitwiseAnd_NegNeg_ResultLength(x->length(), y->length());
646 if (!MutableBigInt::New(isolate, result_length).ToHandle(&result)) {
647 return {};
648 }
649 bigint::BitwiseAnd_NegNeg(GetRWDigits(result), GetDigits(x), GetDigits(y));
650 result->set_sign(true);
651 } else {
652 if (x_sign) std::swap(x, y);
653 int result_length = bigint::BitwiseAnd_PosNeg_ResultLength(x->length());
654 result = MutableBigInt::New(isolate, result_length).ToHandleChecked();
655 bigint::BitwiseAnd_PosNeg(GetRWDigits(result), GetDigits(x), GetDigits(y));
656 DCHECK(!result->sign())((void) 0);
657 }
658 return MutableBigInt::MakeImmutable(result);
659}
660
661MaybeHandle<BigInt> BigInt::BitwiseXor(Isolate* isolate, Handle<BigInt> x,
662 Handle<BigInt> y) {
663 bool x_sign = x->sign();
664 bool y_sign = y->sign();
665 Handle<MutableBigInt> result;
666 if (!x_sign && !y_sign) {
667 int result_length =
668 bigint::BitwiseXor_PosPos_ResultLength(x->length(), y->length());
669 result = MutableBigInt::New(isolate, result_length).ToHandleChecked();
670 bigint::BitwiseXor_PosPos(GetRWDigits(result), GetDigits(x), GetDigits(y));
671 DCHECK(!result->sign())((void) 0);
672 } else if (x_sign && y_sign) {
673 int result_length =
674 bigint::BitwiseXor_NegNeg_ResultLength(x->length(), y->length());
675 result = MutableBigInt::New(isolate, result_length).ToHandleChecked();
676 bigint::BitwiseXor_NegNeg(GetRWDigits(result), GetDigits(x), GetDigits(y));
677 DCHECK(!result->sign())((void) 0);
678 } else {
679 if (x_sign) std::swap(x, y);
680 int result_length =
681 bigint::BitwiseXor_PosNeg_ResultLength(x->length(), y->length());
682 if (!MutableBigInt::New(isolate, result_length).ToHandle(&result)) {
683 return {};
684 }
685 bigint::BitwiseXor_PosNeg(GetRWDigits(result), GetDigits(x), GetDigits(y));
686 result->set_sign(true);
687 }
688 return MutableBigInt::MakeImmutable(result);
689}
690
691MaybeHandle<BigInt> BigInt::BitwiseOr(Isolate* isolate, Handle<BigInt> x,
692 Handle<BigInt> y) {
693 bool x_sign = x->sign();
694 bool y_sign = y->sign();
695 int result_length = bigint::BitwiseOrResultLength(x->length(), y->length());
696 Handle<MutableBigInt> result =
697 MutableBigInt::New(isolate, result_length).ToHandleChecked();
698 if (!x_sign && !y_sign) {
699 bigint::BitwiseOr_PosPos(GetRWDigits(result), GetDigits(x), GetDigits(y));
700 DCHECK(!result->sign())((void) 0);
701 } else if (x_sign && y_sign) {
702 bigint::BitwiseOr_NegNeg(GetRWDigits(result), GetDigits(x), GetDigits(y));
703 result->set_sign(true);
704 } else {
705 if (x_sign) std::swap(x, y);
706 bigint::BitwiseOr_PosNeg(GetRWDigits(result), GetDigits(x), GetDigits(y));
707 result->set_sign(true);
708 }
709 return MutableBigInt::MakeImmutable(result);
710}
711
712MaybeHandle<BigInt> BigInt::Increment(Isolate* isolate, Handle<BigInt> x) {
713 if (x->sign()) {
714 Handle<MutableBigInt> result = MutableBigInt::AbsoluteSubOne(isolate, x);
715 result->set_sign(true);
716 return MutableBigInt::MakeImmutable(result);
717 } else {
718 return MutableBigInt::MakeImmutable(
719 MutableBigInt::AbsoluteAddOne(isolate, x, false));
720 }
721}
722
723MaybeHandle<BigInt> BigInt::Decrement(Isolate* isolate, Handle<BigInt> x) {
724 MaybeHandle<MutableBigInt> result;
725 if (x->sign()) {
726 result = MutableBigInt::AbsoluteAddOne(isolate, x, true);
727 } else if (x->is_zero()) {
728 // TODO(jkummerow): Consider caching a canonical -1n BigInt.
729 return MutableBigInt::NewFromInt(isolate, -1);
730 } else {
731 result = MutableBigInt::AbsoluteSubOne(isolate, x);
732 }
733 return MutableBigInt::MakeImmutable(result);
734}
735
736Maybe<ComparisonResult> BigInt::CompareToString(Isolate* isolate,
737 Handle<BigInt> x,
738 Handle<String> y) {
739 // a. Let ny be StringToBigInt(y);
740 MaybeHandle<BigInt> maybe_ny = StringToBigInt(isolate, y);
741 // b. If ny is NaN, return undefined.
742 Handle<BigInt> ny;
743 if (!maybe_ny.ToHandle(&ny)) {
744 if (isolate->has_pending_exception()) {
745 return Nothing<ComparisonResult>();
746 } else {
747 return Just(ComparisonResult::kUndefined);
748 }
749 }
750 // c. Return BigInt::lessThan(x, ny).
751 return Just(CompareToBigInt(x, ny));
752}
753
754Maybe<bool> BigInt::EqualToString(Isolate* isolate, Handle<BigInt> x,
755 Handle<String> y) {
756 // a. Let n be StringToBigInt(y).
757 MaybeHandle<BigInt> maybe_n = StringToBigInt(isolate, y);
758 // b. If n is NaN, return false.
759 Handle<BigInt> n;
760 if (!maybe_n.ToHandle(&n)) {
761 if (isolate->has_pending_exception()) {
762 return Nothing<bool>();
763 } else {
764 return Just(false);
765 }
766 }
767 // c. Return the result of x == n.
768 return Just(EqualToBigInt(*x, *n));
769}
770
771bool BigInt::EqualToNumber(Handle<BigInt> x, Handle<Object> y) {
772 DCHECK(y->IsNumber())((void) 0);
773 // a. If x or y are any of NaN, +∞, or -∞, return false.
774 // b. If the mathematical value of x is equal to the mathematical value of y,
775 // return true, otherwise return false.
776 if (y->IsSmi()) {
777 int value = Smi::ToInt(*y);
778 if (value == 0) return x->is_zero();
779 // Any multi-digit BigInt is bigger than a Smi.
780 STATIC_ASSERT(sizeof(digit_t) >= sizeof(value))static_assert(sizeof(digit_t) >= sizeof(value), "sizeof(digit_t) >= sizeof(value)"
)
;
781 return (x->length() == 1) && (x->sign() == (value < 0)) &&
782 (x->digit(0) ==
783 static_cast<digit_t>(std::abs(static_cast<int64_t>(value))));
784 }
785 DCHECK(y->IsHeapNumber())((void) 0);
786 double value = Handle<HeapNumber>::cast(y)->value();
787 return CompareToDouble(x, value) == ComparisonResult::kEqual;
788}
789
790ComparisonResult BigInt::CompareToNumber(Handle<BigInt> x, Handle<Object> y) {
791 DCHECK(y->IsNumber())((void) 0);
792 if (y->IsSmi()) {
793 bool x_sign = x->sign();
794 int y_value = Smi::ToInt(*y);
795 bool y_sign = (y_value < 0);
796 if (x_sign != y_sign) return UnequalSign(x_sign);
797
798 if (x->is_zero()) {
799 DCHECK(!y_sign)((void) 0);
800 return y_value == 0 ? ComparisonResult::kEqual
801 : ComparisonResult::kLessThan;
802 }
803 // Any multi-digit BigInt is bigger than a Smi.
804 STATIC_ASSERT(sizeof(digit_t) >= sizeof(y_value))static_assert(sizeof(digit_t) >= sizeof(y_value), "sizeof(digit_t) >= sizeof(y_value)"
)
;
805 if (x->length() > 1) return AbsoluteGreater(x_sign);
806
807 digit_t abs_value = std::abs(static_cast<int64_t>(y_value));
808 digit_t x_digit = x->digit(0);
809 if (x_digit > abs_value) return AbsoluteGreater(x_sign);
810 if (x_digit < abs_value) return AbsoluteLess(x_sign);
811 return ComparisonResult::kEqual;
812 }
813 DCHECK(y->IsHeapNumber())((void) 0);
814 double value = Handle<HeapNumber>::cast(y)->value();
815 return CompareToDouble(x, value);
816}
817
818ComparisonResult BigInt::CompareToDouble(Handle<BigInt> x, double y) {
819 if (std::isnan(y)) return ComparisonResult::kUndefined;
820 if (y == V8_INFINITYstd::numeric_limits<double>::infinity()) return ComparisonResult::kLessThan;
821 if (y == -V8_INFINITYstd::numeric_limits<double>::infinity()) return ComparisonResult::kGreaterThan;
822 bool x_sign = x->sign();
823 // Note that this is different from the double's sign bit for -0. That's
824 // intentional because -0 must be treated like 0.
825 bool y_sign = (y < 0);
826 if (x_sign != y_sign) return UnequalSign(x_sign);
827 if (y == 0) {
828 DCHECK(!x_sign)((void) 0);
829 return x->is_zero() ? ComparisonResult::kEqual
830 : ComparisonResult::kGreaterThan;
831 }
832 if (x->is_zero()) {
833 DCHECK(!y_sign)((void) 0);
834 return ComparisonResult::kLessThan;
835 }
836 uint64_t double_bits = bit_cast<uint64_t>(y);
837 int raw_exponent =
838 static_cast<int>(double_bits >> base::Double::kPhysicalSignificandSize) &
839 0x7FF;
840 uint64_t mantissa = double_bits & base::Double::kSignificandMask;
841 // Non-finite doubles are handled above.
842 DCHECK_NE(raw_exponent, 0x7FF)((void) 0);
843 int exponent = raw_exponent - 0x3FF;
844 if (exponent < 0) {
845 // The absolute value of the double is less than 1. Only 0n has an
846 // absolute value smaller than that, but we've already covered that case.
847 DCHECK(!x->is_zero())((void) 0);
848 return AbsoluteGreater(x_sign);
849 }
850 int x_length = x->length();
851 digit_t x_msd = x->digit(x_length - 1);
852 int msd_leading_zeros = base::bits::CountLeadingZeros(x_msd);
853 int x_bitlength = x_length * kDigitBits - msd_leading_zeros;
854 int y_bitlength = exponent + 1;
855 if (x_bitlength < y_bitlength) return AbsoluteLess(x_sign);
856 if (x_bitlength > y_bitlength) return AbsoluteGreater(x_sign);
857
858 // At this point, we know that signs and bit lengths (i.e. position of
859 // the most significant bit in exponent-free representation) are identical.
860 // {x} is not zero, {y} is finite and not denormal.
861 // Now we virtually convert the double to an integer by shifting its
862 // mantissa according to its exponent, so it will align with the BigInt {x},
863 // and then we compare them bit for bit until we find a difference or the
864 // least significant bit.
865 // <----- 52 ------> <-- virtual trailing zeroes -->
866 // y / mantissa: 1yyyyyyyyyyyyyyyyy 0000000000000000000000000000000
867 // x / digits: 0001xxxx xxxxxxxx xxxxxxxx ...
868 // <--> <------>
869 // msd_topbit kDigitBits
870 //
871 mantissa |= base::Double::kHiddenBit;
872 const int kMantissaTopBit = 52; // 0-indexed.
873 // 0-indexed position of {x}'s most significant bit within the {msd}.
874 int msd_topbit = kDigitBits - 1 - msd_leading_zeros;
875 DCHECK_EQ(msd_topbit, (x_bitlength - 1) % kDigitBits)((void) 0);
876 // Shifted chunk of {mantissa} for comparing with {digit}.
877 digit_t compare_mantissa;
878 // Number of unprocessed bits in {mantissa}. We'll keep them shifted to
879 // the left (i.e. most significant part) of the underlying uint64_t.
880 int remaining_mantissa_bits = 0;
881
882 // First, compare the most significant digit against the beginning of
883 // the mantissa.
884 if (msd_topbit < kMantissaTopBit) {
885 remaining_mantissa_bits = (kMantissaTopBit - msd_topbit);
886 compare_mantissa = mantissa >> remaining_mantissa_bits;
887 mantissa = mantissa << (64 - remaining_mantissa_bits);
888 } else {
889 DCHECK_GE(msd_topbit, kMantissaTopBit)((void) 0);
890 compare_mantissa = mantissa << (msd_topbit - kMantissaTopBit);
891 mantissa = 0;
892 }
893 if (x_msd > compare_mantissa) return AbsoluteGreater(x_sign);
894 if (x_msd < compare_mantissa) return AbsoluteLess(x_sign);
895
896 // Then, compare additional digits against any remaining mantissa bits.
897 for (int digit_index = x_length - 2; digit_index >= 0; digit_index--) {
898 if (remaining_mantissa_bits > 0) {
899 remaining_mantissa_bits -= kDigitBits;
900 if (sizeof(mantissa) != sizeof(x_msd)) {
901 compare_mantissa = mantissa >> (64 - kDigitBits);
902 // "& 63" to appease compilers. kDigitBits is 32 here anyway.
903 mantissa = mantissa << (kDigitBits & 63);
904 } else {
905 compare_mantissa = mantissa;
906 mantissa = 0;
907 }
908 } else {
909 compare_mantissa = 0;
910 }
911 digit_t digit = x->digit(digit_index);
912 if (digit > compare_mantissa) return AbsoluteGreater(x_sign);
913 if (digit < compare_mantissa) return AbsoluteLess(x_sign);
914 }
915
916 // Integer parts are equal; check whether {y} has a fractional part.
917 if (mantissa != 0) {
918 DCHECK_GT(remaining_mantissa_bits, 0)((void) 0);
919 return AbsoluteLess(x_sign);
920 }
921 return ComparisonResult::kEqual;
922}
923
924MaybeHandle<String> BigInt::ToString(Isolate* isolate, Handle<BigInt> bigint,
925 int radix, ShouldThrow should_throw) {
926 if (bigint->is_zero()) {
927 return isolate->factory()->zero_string();
928 }
929 const bool sign = bigint->sign();
930 int chars_allocated;
931 int chars_written;
932 Handle<SeqOneByteString> result;
933 if (bigint->length() == 1 && radix == 10) {
934 // Fast path for the most common case, to avoid call/dispatch overhead.
935 // The logic is the same as what the full implementation does below,
936 // just inlined and specialized for the preconditions.
937 // Microbenchmarks rejoice!
938 digit_t digit = bigint->digit(0);
939 int bit_length = kDigitBits - base::bits::CountLeadingZeros(digit);
940 constexpr int kShift = 7;
941 // This is Math.log2(10) * (1 << kShift), scaled just far enough to
942 // make the computations below always precise (after rounding).
943 constexpr int kShiftedBitsPerChar = 425;
944 chars_allocated = (bit_length << kShift) / kShiftedBitsPerChar + 1 + sign;
945 result = isolate->factory()
946 ->NewRawOneByteString(chars_allocated)
947 .ToHandleChecked();
948 DisallowGarbageCollection no_gc;
949 uint8_t* start = result->GetChars(no_gc);
950 uint8_t* out = start + chars_allocated;
951 while (digit != 0) {
952 *(--out) = '0' + (digit % 10);
953 digit /= 10;
954 }
955 if (sign) *(--out) = '-';
956 if (out == start) {
957 chars_written = chars_allocated;
958 } else {
959 DCHECK_LT(start, out)((void) 0);
960 // The result is one character shorter than predicted. This is
961 // unavoidable, e.g. a 4-bit BigInt can be as big as "10" or as small as
962 // "9", so we must allocate 2 characters for it, and will only later find
963 // out whether all characters were used.
964 chars_written = chars_allocated - static_cast<int>(out - start);
965 std::memmove(start, out, chars_written);
966 }
967 } else {
968 // Generic path, handles anything.
969 DCHECK(radix >= 2 && radix <= 36)((void) 0);
970 chars_allocated =
971 bigint::ToStringResultLength(GetDigits(bigint), radix, sign);
972 if (chars_allocated > String::kMaxLength) {
973 if (should_throw == kThrowOnError) {
974 THROW_NEW_ERROR(isolate, NewInvalidStringLengthError(), String)do { auto* __isolate__ = (isolate); return __isolate__->template
Throw<String>(__isolate__->factory()->NewInvalidStringLengthError
()); } while (false)
;
975 } else {
976 return {};
977 }
978 }
979 result = isolate->factory()
980 ->NewRawOneByteString(chars_allocated)
981 .ToHandleChecked();
982 chars_written = chars_allocated;
983 DisallowGarbageCollection no_gc;
984 char* characters = reinterpret_cast<char*>(result->GetChars(no_gc));
985 bigint::Status status = isolate->bigint_processor()->ToString(
986 characters, &chars_written, GetDigits(bigint), radix, sign);
987 if (status == bigint::Status::kInterrupted) {
988 AllowGarbageCollection terminating_anyway;
989 isolate->TerminateExecution();
990 return {};
991 }
992 }
993
994 // Right-trim any over-allocation (which can happen due to conservative
995 // estimates).
996 if (chars_written < chars_allocated) {
997 result->set_length(chars_written, kReleaseStore);
998 int string_size = SeqOneByteString::SizeFor(chars_allocated);
999 int needed_size = SeqOneByteString::SizeFor(chars_written);
1000 if (needed_size < string_size && !isolate->heap()->IsLargeObject(*result)) {
1001 Address new_end = result->address() + needed_size;
1002 isolate->heap()->CreateFillerObjectAt(
1003 new_end, (string_size - needed_size), ClearRecordedSlots::kNo);
1004 }
1005 }
1006#if DEBUG
1007 // Verify that all characters have been written.
1008 DCHECK(result->length() == chars_written)((void) 0);
1009 DisallowGarbageCollection no_gc;
1010 uint8_t* chars = result->GetChars(no_gc);
1011 for (int i = 0; i < chars_written; i++) {
1012 DCHECK_NE(chars[i], bigint::kStringZapValue)((void) 0);
1013 }
1014#endif
1015 return result;
1016}
1017
1018MaybeHandle<BigInt> BigInt::FromNumber(Isolate* isolate,
1019 Handle<Object> number) {
1020 DCHECK(number->IsNumber())((void) 0);
1021 if (number->IsSmi()) {
1022 return MutableBigInt::NewFromInt(isolate, Smi::ToInt(*number));
1023 }
1024 double value = HeapNumber::cast(*number).value();
1025 if (!std::isfinite(value) || (DoubleToInteger(value) != value)) {
1026 THROW_NEW_ERROR(isolate,do { auto* __isolate__ = (isolate); return __isolate__->template
Throw<BigInt>(__isolate__->factory()->NewRangeError
(MessageTemplate::kBigIntFromNumber, number)); } while (false
)
1027 NewRangeError(MessageTemplate::kBigIntFromNumber, number),do { auto* __isolate__ = (isolate); return __isolate__->template
Throw<BigInt>(__isolate__->factory()->NewRangeError
(MessageTemplate::kBigIntFromNumber, number)); } while (false
)
1028 BigInt)do { auto* __isolate__ = (isolate); return __isolate__->template
Throw<BigInt>(__isolate__->factory()->NewRangeError
(MessageTemplate::kBigIntFromNumber, number)); } while (false
)
;
1029 }
1030 return MutableBigInt::NewFromDouble(isolate, value);
1031}
1032
1033MaybeHandle<BigInt> BigInt::FromObject(Isolate* isolate, Handle<Object> obj) {
1034 if (obj->IsJSReceiver()) {
1035 ASSIGN_RETURN_ON_EXCEPTION(do { if (!(JSReceiver::ToPrimitive(isolate, Handle<JSReceiver
>::cast(obj), ToPrimitiveHint::kNumber)).ToHandle(&obj
)) { ((void) 0); return MaybeHandle<BigInt>(); } } while
(false)
1036 isolate, obj,do { if (!(JSReceiver::ToPrimitive(isolate, Handle<JSReceiver
>::cast(obj), ToPrimitiveHint::kNumber)).ToHandle(&obj
)) { ((void) 0); return MaybeHandle<BigInt>(); } } while
(false)
1037 JSReceiver::ToPrimitive(isolate, Handle<JSReceiver>::cast(obj),do { if (!(JSReceiver::ToPrimitive(isolate, Handle<JSReceiver
>::cast(obj), ToPrimitiveHint::kNumber)).ToHandle(&obj
)) { ((void) 0); return MaybeHandle<BigInt>(); } } while
(false)
1038 ToPrimitiveHint::kNumber),do { if (!(JSReceiver::ToPrimitive(isolate, Handle<JSReceiver
>::cast(obj), ToPrimitiveHint::kNumber)).ToHandle(&obj
)) { ((void) 0); return MaybeHandle<BigInt>(); } } while
(false)
1039 BigInt)do { if (!(JSReceiver::ToPrimitive(isolate, Handle<JSReceiver
>::cast(obj), ToPrimitiveHint::kNumber)).ToHandle(&obj
)) { ((void) 0); return MaybeHandle<BigInt>(); } } while
(false)
;
1040 }
1041
1042 if (obj->IsBoolean()) {
1043 return MutableBigInt::NewFromInt(isolate, obj->BooleanValue(isolate));
1044 }
1045 if (obj->IsBigInt()) {
1046 return Handle<BigInt>::cast(obj);
1047 }
1048 if (obj->IsString()) {
1049 Handle<BigInt> n;
1050 if (!StringToBigInt(isolate, Handle<String>::cast(obj)).ToHandle(&n)) {
1051 if (isolate->has_pending_exception()) {
1052 return MaybeHandle<BigInt>();
1053 } else {
1054 Handle<String> str = Handle<String>::cast(obj);
1055 constexpr int kMaxRenderedLength = 1000;
1056 if (str->length() > kMaxRenderedLength) {
1057 Factory* factory = isolate->factory();
1058 Handle<String> prefix =
1059 factory->NewProperSubString(str, 0, kMaxRenderedLength);
1060 Handle<SeqTwoByteString> ellipsis =
1061 factory->NewRawTwoByteString(1).ToHandleChecked();
1062 ellipsis->SeqTwoByteStringSet(0, 0x2026);
1063 str = factory->NewConsString(prefix, ellipsis).ToHandleChecked();
1064 }
1065 THROW_NEW_ERROR(isolate,do { auto* __isolate__ = (isolate); return __isolate__->template
Throw<BigInt>(__isolate__->factory()->NewSyntaxError
(MessageTemplate::kBigIntFromObject, str)); } while (false)
1066 NewSyntaxError(MessageTemplate::kBigIntFromObject, str),do { auto* __isolate__ = (isolate); return __isolate__->template
Throw<BigInt>(__isolate__->factory()->NewSyntaxError
(MessageTemplate::kBigIntFromObject, str)); } while (false)
1067 BigInt)do { auto* __isolate__ = (isolate); return __isolate__->template
Throw<BigInt>(__isolate__->factory()->NewSyntaxError
(MessageTemplate::kBigIntFromObject, str)); } while (false)
;
1068 }
1069 }
1070 return n;
1071 }
1072
1073 THROW_NEW_ERROR(do { auto* __isolate__ = (isolate); return __isolate__->template
Throw<BigInt>(__isolate__->factory()->NewTypeError
(MessageTemplate::kBigIntFromObject, obj)); } while (false)
1074 isolate, NewTypeError(MessageTemplate::kBigIntFromObject, obj), BigInt)do { auto* __isolate__ = (isolate); return __isolate__->template
Throw<BigInt>(__isolate__->factory()->NewTypeError
(MessageTemplate::kBigIntFromObject, obj)); } while (false)
;
1075}
1076
1077Handle<Object> BigInt::ToNumber(Isolate* isolate, Handle<BigInt> x) {
1078 if (x->is_zero()) return Handle<Smi>(Smi::zero(), isolate);
1079 if (x->length() == 1 && x->digit(0) < Smi::kMaxValue) {
1
Assuming the condition is false
2
Taking false branch
1080 int value = static_cast<int>(x->digit(0));
1081 if (x->sign()) value = -value;
1082 return Handle<Smi>(Smi::FromInt(value), isolate);
1083 }
1084 double result = MutableBigInt::ToDouble(x);
3
Calling 'MutableBigInt::ToDouble'
1085 return isolate->factory()->NewHeapNumber(result);
1086}
1087
1088double MutableBigInt::ToDouble(Handle<BigIntBase> x) {
1089 if (x->is_zero()) return 0.0;
4
Taking false branch
1090 int x_length = x->length();
1091 digit_t x_msd = x->digit(x_length - 1);
1092 int msd_leading_zeros = base::bits::CountLeadingZeros(x_msd);
1093 int x_bitlength = x_length * kDigitBits - msd_leading_zeros;
1094 if (x_bitlength > 1024) return x->sign() ? -V8_INFINITYstd::numeric_limits<double>::infinity() : V8_INFINITYstd::numeric_limits<double>::infinity();
5
Assuming 'x_bitlength' is <= 1024
6
Taking false branch
1095 uint64_t exponent = x_bitlength - 1;
1096 // We need the most significant bit shifted to the position of a double's
1097 // "hidden bit". We also need to hide that MSB, so we shift it out.
1098 uint64_t current_digit = x_msd;
1099 int digit_index = x_length - 1;
1100 int shift = msd_leading_zeros + 1 + (64 - kDigitBits);
7
'shift' initialized to 65
1101 DCHECK_LE(1, shift)((void) 0);
1102 DCHECK_LE(shift, 64)((void) 0);
1103 uint64_t mantissa = (shift
7.1
'shift' is not equal to 64
== 64) ? 0 : current_digit << shift;
8
'?' condition is false
9
The result of the left shift is undefined due to shifting by '65', which is greater or equal to the width of type 'uint64_t'
1104 mantissa >>= 12;
1105 int mantissa_bits_unset = shift - 12;
1106 // If not all mantissa bits are defined yet, get more digits as needed.
1107 if (mantissa_bits_unset >= kDigitBits && digit_index > 0) {
1108 digit_index--;
1109 current_digit = static_cast<uint64_t>(x->digit(digit_index));
1110 mantissa |= (current_digit << (mantissa_bits_unset - kDigitBits));
1111 mantissa_bits_unset -= kDigitBits;
1112 }
1113 if (mantissa_bits_unset > 0 && digit_index > 0) {
1114 DCHECK_LT(mantissa_bits_unset, kDigitBits)((void) 0);
1115 digit_index--;
1116 current_digit = static_cast<uint64_t>(x->digit(digit_index));
1117 mantissa |= (current_digit >> (kDigitBits - mantissa_bits_unset));
1118 mantissa_bits_unset -= kDigitBits;
1119 }
1120 // If there are unconsumed digits left, we may have to round.
1121 Rounding rounding =
1122 DecideRounding(x, mantissa_bits_unset, digit_index, current_digit);
1123 if (rounding == kRoundUp || (rounding == kTie && (mantissa & 1) == 1)) {
1124 mantissa++;
1125 // Incrementing the mantissa can overflow the mantissa bits. In that case
1126 // the new mantissa will be all zero (plus hidden bit).
1127 if ((mantissa >> base::Double::kPhysicalSignificandSize) != 0) {
1128 mantissa = 0;
1129 exponent++;
1130 // Incrementing the exponent can overflow too.
1131 if (exponent > 1023) {
1132 return x->sign() ? -V8_INFINITYstd::numeric_limits<double>::infinity() : V8_INFINITYstd::numeric_limits<double>::infinity();
1133 }
1134 }
1135 }
1136 // Assemble the result.
1137 uint64_t sign_bit = x->sign() ? (static_cast<uint64_t>(1) << 63) : 0;
1138 exponent = (exponent + 0x3FF) << base::Double::kPhysicalSignificandSize;
1139 uint64_t double_bits = sign_bit | exponent | mantissa;
1140 return bit_cast<double>(double_bits);
1141}
1142
1143// This is its own function to simplify control flow. The meaning of the
1144// parameters is defined by {ToDouble}'s local variable usage.
1145MutableBigInt::Rounding MutableBigInt::DecideRounding(Handle<BigIntBase> x,
1146 int mantissa_bits_unset,
1147 int digit_index,
1148 uint64_t current_digit) {
1149 if (mantissa_bits_unset > 0) return kRoundDown;
1150 int top_unconsumed_bit;
1151 if (mantissa_bits_unset < 0) {
1152 // There are unconsumed bits in {current_digit}.
1153 top_unconsumed_bit = -mantissa_bits_unset - 1;
1154 } else {
1155 DCHECK_EQ(mantissa_bits_unset, 0)((void) 0);
1156 // {current_digit} fit the mantissa exactly; look at the next digit.
1157 if (digit_index == 0) return kRoundDown;
1158 digit_index--;
1159 current_digit = static_cast<uint64_t>(x->digit(digit_index));
1160 top_unconsumed_bit = kDigitBits - 1;
1161 }
1162 // If the most significant remaining bit is 0, round down.
1163 uint64_t bitmask = static_cast<uint64_t>(1) << top_unconsumed_bit;
1164 if ((current_digit & bitmask) == 0) {
1165 return kRoundDown;
1166 }
1167 // If any other remaining bit is set, round up.
1168 bitmask -= 1;
1169 if ((current_digit & bitmask) != 0) return kRoundUp;
1170 while (digit_index > 0) {
1171 digit_index--;
1172 if (x->digit(digit_index) != 0) return kRoundUp;
1173 }
1174 return kTie;
1175}
1176
1177void BigInt::BigIntShortPrint(std::ostream& os) {
1178 if (sign()) os << "-";
1179 int len = length();
1180 if (len == 0) {
1181 os << "0";
1182 return;
1183 }
1184 if (len > 1) os << "...";
1185 os << digit(0);
1186}
1187
1188// Internal helpers.
1189
1190// Adds 1 to the absolute value of {x} and sets the result's sign to {sign}.
1191// {result_storage} is optional; if present, it will be used to store the
1192// result, otherwise a new BigInt will be allocated for the result.
1193// {result_storage} and {x} may refer to the same BigInt for in-place
1194// modification.
1195MaybeHandle<MutableBigInt> MutableBigInt::AbsoluteAddOne(
1196 Isolate* isolate, Handle<BigIntBase> x, bool sign,
1197 MutableBigInt result_storage) {
1198 int input_length = x->length();
1199 // The addition will overflow into a new digit if all existing digits are
1200 // at maximum.
1201 bool will_overflow = true;
1202 for (int i = 0; i < input_length; i++) {
1203 if (!digit_ismax(x->digit(i))) {
1204 will_overflow = false;
1205 break;
1206 }
1207 }
1208 int result_length = input_length + will_overflow;
1209 Handle<MutableBigInt> result(result_storage, isolate);
1210 if (result_storage.is_null()) {
1211 if (!New(isolate, result_length).ToHandle(&result)) {
1212 return MaybeHandle<MutableBigInt>();
1213 }
1214 } else {
1215 DCHECK(result->length() == result_length)((void) 0);
1216 }
1217 if (input_length == 0) {
1218 result->set_digit(0, 1);
1219 } else if (input_length == 1 && !will_overflow) {
1220 result->set_digit(0, x->digit(0) + 1);
1221 } else {
1222 bigint::AddOne(GetRWDigits(result), GetDigits(x));
1223 }
1224 result->set_sign(sign);
1225 return result;
1226}
1227
1228// Subtracts 1 from the absolute value of {x}. {x} must not be zero.
1229Handle<MutableBigInt> MutableBigInt::AbsoluteSubOne(Isolate* isolate,
1230 Handle<BigIntBase> x) {
1231 DCHECK(!x->is_zero())((void) 0);
1232 int length = x->length();
1233 Handle<MutableBigInt> result = New(isolate, length).ToHandleChecked();
1234 if (length == 1) {
1235 result->set_digit(0, x->digit(0) - 1);
1236 } else {
1237 bigint::SubtractOne(GetRWDigits(result), GetDigits(x));
1238 }
1239 return result;
1240}
1241
1242MaybeHandle<BigInt> MutableBigInt::LeftShiftByAbsolute(Isolate* isolate,
1243 Handle<BigIntBase> x,
1244 Handle<BigIntBase> y) {
1245 Maybe<digit_t> maybe_shift = ToShiftAmount(y);
1246 if (maybe_shift.IsNothing()) {
1247 return ThrowBigIntTooBig<BigInt>(isolate);
1248 }
1249 digit_t shift = maybe_shift.FromJust();
1250 const int result_length = bigint::LeftShift_ResultLength(
1251 x->length(), x->digit(x->length() - 1), shift);
1252 if (result_length > kMaxLength) {
1253 return ThrowBigIntTooBig<BigInt>(isolate);
1254 }
1255 Handle<MutableBigInt> result;
1256 if (!New(isolate, result_length).ToHandle(&result)) {
1257 return MaybeHandle<BigInt>();
1258 }
1259 bigint::LeftShift(GetRWDigits(result), GetDigits(x), shift);
1260 result->set_sign(x->sign());
1261 return MakeImmutable(result);
1262}
1263
1264Handle<BigInt> MutableBigInt::RightShiftByAbsolute(Isolate* isolate,
1265 Handle<BigIntBase> x,
1266 Handle<BigIntBase> y) {
1267 const bool sign = x->sign();
1268 Maybe<digit_t> maybe_shift = ToShiftAmount(y);
1269 if (maybe_shift.IsNothing()) {
1270 return RightShiftByMaximum(isolate, sign);
1271 }
1272 const digit_t shift = maybe_shift.FromJust();
1273 bigint::RightShiftState state;
1274 const int result_length =
1275 bigint::RightShift_ResultLength(GetDigits(x), sign, shift, &state);
1276 DCHECK_LE(result_length, x->length())((void) 0);
1277 if (result_length <= 0) {
1278 return RightShiftByMaximum(isolate, sign);
1279 }
1280 Handle<MutableBigInt> result = New(isolate, result_length).ToHandleChecked();
1281 bigint::RightShift(GetRWDigits(result), GetDigits(x), shift, state);
1282 if (sign) result->set_sign(true);
1283 return MakeImmutable(result);
1284}
1285
1286Handle<BigInt> MutableBigInt::RightShiftByMaximum(Isolate* isolate, bool sign) {
1287 if (sign) {
1288 // TODO(jkummerow): Consider caching a canonical -1n BigInt.
1289 return NewFromInt(isolate, -1);
1290 } else {
1291 return Zero(isolate);
1292 }
1293}
1294
1295// Returns the value of {x} if it is less than the maximum bit length of
1296// a BigInt, or Nothing otherwise.
1297Maybe<BigInt::digit_t> MutableBigInt::ToShiftAmount(Handle<BigIntBase> x) {
1298 if (x->length() > 1) return Nothing<digit_t>();
1299 digit_t value = x->digit(0);
1300 STATIC_ASSERT(kMaxLengthBits < std::numeric_limits<digit_t>::max())static_assert(kMaxLengthBits < std::numeric_limits<digit_t
>::max(), "kMaxLengthBits < std::numeric_limits<digit_t>::max()"
)
;
1301 if (value > kMaxLengthBits) return Nothing<digit_t>();
1302 return Just(value);
1303}
1304
1305void Terminate(Isolate* isolate) { isolate->TerminateExecution(); }
1306// {LocalIsolate} doesn't support interruption or termination.
1307void Terminate(LocalIsolate* isolate) { UNREACHABLE()V8_Fatal("unreachable code"); }
1308
1309template <typename IsolateT>
1310MaybeHandle<BigInt> BigInt::Allocate(IsolateT* isolate,
1311 bigint::FromStringAccumulator* accumulator,
1312 bool negative, AllocationType allocation) {
1313 int digits = accumulator->ResultLength();
1314 DCHECK_LE(digits, kMaxLength)((void) 0);
1315 Handle<MutableBigInt> result =
1316 MutableBigInt::New(isolate, digits, allocation).ToHandleChecked();
1317 bigint::Status status =
1318 isolate->bigint_processor()->FromString(GetRWDigits(result), accumulator);
1319 if (status == bigint::Status::kInterrupted) {
1320 Terminate(isolate);
1321 return {};
1322 }
1323 if (digits > 0) result->set_sign(negative);
1324 return MutableBigInt::MakeImmutable(result);
1325}
1326template MaybeHandle<BigInt> BigInt::Allocate(Isolate*,
1327 bigint::FromStringAccumulator*,
1328 bool, AllocationType);
1329template MaybeHandle<BigInt> BigInt::Allocate(LocalIsolate*,
1330 bigint::FromStringAccumulator*,
1331 bool, AllocationType);
1332
1333// The serialization format MUST NOT CHANGE without updating the format
1334// version in value-serializer.cc!
1335uint32_t BigInt::GetBitfieldForSerialization() const {
1336 // In order to make the serialization format the same on 32/64 bit builds,
1337 // we convert the length-in-digits to length-in-bytes for serialization.
1338 // Being able to do this depends on having enough LengthBits:
1339 STATIC_ASSERT(kMaxLength * kDigitSize <= LengthBits::kMax)static_assert(kMaxLength * kDigitSize <= LengthBits::kMax,
"kMaxLength * kDigitSize <= LengthBits::kMax")
;
1340 int bytelength = length() * kDigitSize;
1341 return SignBits::encode(sign()) | LengthBits::encode(bytelength);
1342}
1343
1344int BigInt::DigitsByteLengthForBitfield(uint32_t bitfield) {
1345 return LengthBits::decode(bitfield);
1346}
1347
1348// The serialization format MUST NOT CHANGE without updating the format
1349// version in value-serializer.cc!
1350void BigInt::SerializeDigits(uint8_t* storage) {
1351 void* digits =
1352 reinterpret_cast<void*>(ptr() + kDigitsOffset - kHeapObjectTag);
1353#if defined(V8_TARGET_LITTLE_ENDIAN1)
1354 int bytelength = length() * kDigitSize;
1355 memcpy(storage, digits, bytelength);
1356#elif defined(V8_TARGET_BIG_ENDIAN)
1357 digit_t* digit_storage = reinterpret_cast<digit_t*>(storage);
1358 const digit_t* digit = reinterpret_cast<const digit_t*>(digits);
1359 for (int i = 0; i < length(); i++) {
1360 *digit_storage = ByteReverse(*digit);
1361 digit_storage++;
1362 digit++;
1363 }
1364#endif // V8_TARGET_BIG_ENDIAN
1365}
1366
1367// The serialization format MUST NOT CHANGE without updating the format
1368// version in value-serializer.cc!
1369MaybeHandle<BigInt> BigInt::FromSerializedDigits(
1370 Isolate* isolate, uint32_t bitfield,
1371 base::Vector<const uint8_t> digits_storage) {
1372 int bytelength = LengthBits::decode(bitfield);
1373 DCHECK(digits_storage.length() == bytelength)((void) 0);
1374 bool sign = SignBits::decode(bitfield);
1375 int length = (bytelength + kDigitSize - 1) / kDigitSize; // Round up.
1376 Handle<MutableBigInt> result =
1377 MutableBigInt::Cast(isolate->factory()->NewBigInt(length));
1378 result->initialize_bitfield(sign, length);
1379 void* digits =
1380 reinterpret_cast<void*>(result->ptr() + kDigitsOffset - kHeapObjectTag);
1381#if defined(V8_TARGET_LITTLE_ENDIAN1)
1382 memcpy(digits, digits_storage.begin(), bytelength);
1383 void* padding_start =
1384 reinterpret_cast<void*>(reinterpret_cast<Address>(digits) + bytelength);
1385 memset(padding_start, 0, length * kDigitSize - bytelength);
1386#elif defined(V8_TARGET_BIG_ENDIAN)
1387 digit_t* digit = reinterpret_cast<digit_t*>(digits);
1388 const digit_t* digit_storage =
1389 reinterpret_cast<const digit_t*>(digits_storage.begin());
1390 for (int i = 0; i < bytelength / kDigitSize; i++) {
1391 *digit = ByteReverse(*digit_storage);
1392 digit_storage++;
1393 digit++;
1394 }
1395 if (bytelength % kDigitSize) {
1396 *digit = 0;
1397 byte* digit_byte = reinterpret_cast<byte*>(digit);
1398 digit_byte += sizeof(*digit) - 1;
1399 const byte* digit_storage_byte =
1400 reinterpret_cast<const byte*>(digit_storage);
1401 for (int i = 0; i < bytelength % kDigitSize; i++) {
1402 *digit_byte = *digit_storage_byte;
1403 digit_byte--;
1404 digit_storage_byte++;
1405 }
1406 }
1407#endif // V8_TARGET_BIG_ENDIAN
1408 return MutableBigInt::MakeImmutable(result);
1409}
1410
1411Handle<BigInt> BigInt::AsIntN(Isolate* isolate, uint64_t n, Handle<BigInt> x) {
1412 if (x->is_zero() || n > kMaxLengthBits) return x;
1413 if (n == 0) return MutableBigInt::Zero(isolate);
1414 int needed_length =
1415 bigint::AsIntNResultLength(GetDigits(x), x->sign(), static_cast<int>(n));
1416 if (needed_length == -1) return x;
1417 Handle<MutableBigInt> result =
1418 MutableBigInt::New(isolate, needed_length).ToHandleChecked();
1419 bool negative = bigint::AsIntN(GetRWDigits(result), GetDigits(x), x->sign(),
1420 static_cast<int>(n));
1421 result->set_sign(negative);
1422 return MutableBigInt::MakeImmutable(result);
1423}
1424
1425MaybeHandle<BigInt> BigInt::AsUintN(Isolate* isolate, uint64_t n,
1426 Handle<BigInt> x) {
1427 if (x->is_zero()) return x;
1428 if (n == 0) return MutableBigInt::Zero(isolate);
1429 Handle<MutableBigInt> result;
1430 if (x->sign()) {
1431 if (n > kMaxLengthBits) {
1432 return ThrowBigIntTooBig<BigInt>(isolate);
1433 }
1434 int result_length = bigint::AsUintN_Neg_ResultLength(static_cast<int>(n));
1435 result = MutableBigInt::New(isolate, result_length).ToHandleChecked();
1436 bigint::AsUintN_Neg(GetRWDigits(result), GetDigits(x), static_cast<int>(n));
1437 } else {
1438 if (n >= kMaxLengthBits) return x;
1439 int result_length =
1440 bigint::AsUintN_Pos_ResultLength(GetDigits(x), static_cast<int>(n));
1441 if (result_length < 0) return x;
1442 result = MutableBigInt::New(isolate, result_length).ToHandleChecked();
1443 bigint::AsUintN_Pos(GetRWDigits(result), GetDigits(x), static_cast<int>(n));
1444 }
1445 DCHECK(!result->sign())((void) 0);
1446 return MutableBigInt::MakeImmutable(result);
1447}
1448
1449Handle<BigInt> BigInt::FromInt64(Isolate* isolate, int64_t n) {
1450 if (n == 0) return MutableBigInt::Zero(isolate);
1451 STATIC_ASSERT(kDigitBits == 64 || kDigitBits == 32)static_assert(kDigitBits == 64 || kDigitBits == 32, "kDigitBits == 64 || kDigitBits == 32"
)
;
1452 int length = 64 / kDigitBits;
1453 Handle<MutableBigInt> result =
1454 MutableBigInt::Cast(isolate->factory()->NewBigInt(length));
1455 bool sign = n < 0;
1456 result->initialize_bitfield(sign, length);
1457 uint64_t absolute;
1458 if (!sign) {
1459 absolute = static_cast<uint64_t>(n);
1460 } else {
1461 if (n == std::numeric_limits<int64_t>::min()) {
1462 absolute = static_cast<uint64_t>(std::numeric_limits<int64_t>::max()) + 1;
1463 } else {
1464 absolute = static_cast<uint64_t>(-n);
1465 }
1466 }
1467 result->set_64_bits(absolute);
1468 return MutableBigInt::MakeImmutable(result);
1469}
1470
1471Handle<BigInt> BigInt::FromUint64(Isolate* isolate, uint64_t n) {
1472 if (n == 0) return MutableBigInt::Zero(isolate);
1473 STATIC_ASSERT(kDigitBits == 64 || kDigitBits == 32)static_assert(kDigitBits == 64 || kDigitBits == 32, "kDigitBits == 64 || kDigitBits == 32"
)
;
1474 int length = 64 / kDigitBits;
1475 Handle<MutableBigInt> result =
1476 MutableBigInt::Cast(isolate->factory()->NewBigInt(length));
1477 result->initialize_bitfield(false, length);
1478 result->set_64_bits(n);
1479 return MutableBigInt::MakeImmutable(result);
1480}
1481
1482MaybeHandle<BigInt> BigInt::FromWords64(Isolate* isolate, int sign_bit,
1483 int words64_count,
1484 const uint64_t* words) {
1485 if (words64_count < 0 || words64_count > kMaxLength / (64 / kDigitBits)) {
1486 return ThrowBigIntTooBig<BigInt>(isolate);
1487 }
1488 if (words64_count == 0) return MutableBigInt::Zero(isolate);
1489 STATIC_ASSERT(kDigitBits == 64 || kDigitBits == 32)static_assert(kDigitBits == 64 || kDigitBits == 32, "kDigitBits == 64 || kDigitBits == 32"
)
;
1490 int length = (64 / kDigitBits) * words64_count;
1491 DCHECK_GT(length, 0)((void) 0);
1492 if (kDigitBits == 32 && words[words64_count - 1] <= (1ULL << 32)) length--;
1493
1494 Handle<MutableBigInt> result;
1495 if (!MutableBigInt::New(isolate, length).ToHandle(&result)) {
1496 return MaybeHandle<BigInt>();
1497 }
1498
1499 result->set_sign(sign_bit);
1500 if (kDigitBits == 64) {
1501 for (int i = 0; i < length; ++i) {
1502 result->set_digit(i, static_cast<digit_t>(words[i]));
1503 }
1504 } else {
1505 for (int i = 0; i < length; i += 2) {
1506 digit_t lo = static_cast<digit_t>(words[i / 2]);
1507 digit_t hi = static_cast<digit_t>(words[i / 2] >> 32);
1508 result->set_digit(i, lo);
1509 if (i + 1 < length) result->set_digit(i + 1, hi);
1510 }
1511 }
1512
1513 return MutableBigInt::MakeImmutable(result);
1514}
1515
1516int BigInt::Words64Count() {
1517 STATIC_ASSERT(kDigitBits == 64 || kDigitBits == 32)static_assert(kDigitBits == 64 || kDigitBits == 32, "kDigitBits == 64 || kDigitBits == 32"
)
;
1518 return length() / (64 / kDigitBits) +
1519 (kDigitBits == 32 && length() % 2 == 1 ? 1 : 0);
1520}
1521
1522void BigInt::ToWordsArray64(int* sign_bit, int* words64_count,
1523 uint64_t* words) {
1524 DCHECK_NE(sign_bit, nullptr)((void) 0);
1525 DCHECK_NE(words64_count, nullptr)((void) 0);
1526 *sign_bit = sign();
1527 int available_words = *words64_count;
1528 *words64_count = Words64Count();
1529 if (available_words == 0) return;
1530 DCHECK_NE(words, nullptr)((void) 0);
1531
1532 int len = length();
1533 if (kDigitBits == 64) {
1534 for (int i = 0; i < len && i < available_words; ++i) words[i] = digit(i);
1535 } else {
1536 for (int i = 0; i < len && available_words > 0; i += 2) {
1537 uint64_t lo = digit(i);
1538 uint64_t hi = (i + 1) < len ? digit(i + 1) : 0;
1539 words[i / 2] = lo | (hi << 32);
1540 available_words--;
1541 }
1542 }
1543}
1544
1545uint64_t MutableBigInt::GetRawBits(BigIntBase x, bool* lossless) {
1546 if (lossless != nullptr) *lossless = true;
1547 if (x.is_zero()) return 0;
1548 int len = x.length();
1549 STATIC_ASSERT(kDigitBits == 64 || kDigitBits == 32)static_assert(kDigitBits == 64 || kDigitBits == 32, "kDigitBits == 64 || kDigitBits == 32"
)
;
1550 if (lossless != nullptr && len > 64 / kDigitBits) *lossless = false;
1551 uint64_t raw = static_cast<uint64_t>(x.digit(0));
1552 if (kDigitBits == 32 && len > 1) {
1553 raw |= static_cast<uint64_t>(x.digit(1)) << 32;
1554 }
1555 // Simulate two's complement. MSVC dislikes "-raw".
1556 return x.sign() ? ((~raw) + 1u) : raw;
1557}
1558
1559int64_t BigInt::AsInt64(bool* lossless) {
1560 uint64_t raw = MutableBigInt::GetRawBits(*this, lossless);
1561 int64_t result = static_cast<int64_t>(raw);
1562 if (lossless != nullptr && (result < 0) != sign()) *lossless = false;
1563 return result;
1564}
1565
1566uint64_t BigInt::AsUint64(bool* lossless) {
1567 uint64_t result = MutableBigInt::GetRawBits(*this, lossless);
1568 if (lossless != nullptr && sign()) *lossless = false;
1569 return result;
1570}
1571
1572void MutableBigInt::set_64_bits(uint64_t bits) {
1573 STATIC_ASSERT(kDigitBits == 64 || kDigitBits == 32)static_assert(kDigitBits == 64 || kDigitBits == 32, "kDigitBits == 64 || kDigitBits == 32"
)
;
1574 if (kDigitBits == 64) {
1575 set_digit(0, static_cast<digit_t>(bits));
1576 } else {
1577 set_digit(0, static_cast<digit_t>(bits & 0xFFFFFFFFu));
1578 set_digit(1, static_cast<digit_t>(bits >> 32));
1579 }
1580}
1581
1582#ifdef OBJECT_PRINT1
1583void BigIntBase::BigIntBasePrint(std::ostream& os) {
1584 DisallowGarbageCollection no_gc;
1585 PrintHeader(os, "BigInt");
1586 int len = length();
1587 os << "\n- length: " << len;
1588 os << "\n- sign: " << sign();
1589 if (len > 0) {
1590 os << "\n- digits:";
1591 for (int i = 0; i < len; i++) {
1592 os << "\n 0x" << std::hex << digit(i);
1593 }
1594 }
1595 os << std::dec << "\n";
1596}
1597#endif // OBJECT_PRINT
1598
1599void MutableBigInt_AbsoluteAddAndCanonicalize(Address result_addr,
1600 Address x_addr, Address y_addr) {
1601 BigInt x = BigInt::cast(Object(x_addr));
1602 BigInt y = BigInt::cast(Object(y_addr));
1603 MutableBigInt result = MutableBigInt::cast(Object(result_addr));
1604
1605 bigint::Add(GetRWDigits(result), GetDigits(x), GetDigits(y));
1606 MutableBigInt::Canonicalize(result);
1607}
1608
1609int32_t MutableBigInt_AbsoluteCompare(Address x_addr, Address y_addr) {
1610 BigInt x = BigInt::cast(Object(x_addr));
1611 BigInt y = BigInt::cast(Object(y_addr));
1612
1613 return bigint::Compare(GetDigits(x), GetDigits(y));
1614}
1615
1616void MutableBigInt_AbsoluteSubAndCanonicalize(Address result_addr,
1617 Address x_addr, Address y_addr) {
1618 BigInt x = BigInt::cast(Object(x_addr));
1619 BigInt y = BigInt::cast(Object(y_addr));
1620 MutableBigInt result = MutableBigInt::cast(Object(result_addr));
1621
1622 bigint::Subtract(GetRWDigits(result), GetDigits(x), GetDigits(y));
1623 MutableBigInt::Canonicalize(result);
1624}
1625
1626} // namespace internal
1627} // namespace v8