/* -*- Mode: C++; tab-width: 8; indent-tabs-mode: nil; c-basic-offset: 2 -*- * vim: set ts=8 sts=2 et sw=2 tw=80: * This Source Code Form is subject to the terms of the Mozilla Public * License, v. 2.0. If a copy of the MPL was not distributed with this * file, You can obtain one at http://mozilla.org/MPL/2.0/. */ #ifndef vm_BigIntType_h #define vm_BigIntType_h #include "mozilla/Assertions.h" #include "mozilla/Range.h" #include "mozilla/Span.h" #include "jstypes.h" #include "gc/Barrier.h" #include "gc/GC.h" #include "gc/Nursery.h" #include "js/AllocPolicy.h" #include "js/GCHashTable.h" #include "js/Result.h" #include "js/RootingAPI.h" #include "js/TraceKind.h" #include "js/TypeDecls.h" #include "vm/StringType.h" #include "vm/Xdr.h" namespace JS { class JS_PUBLIC_API BigInt; } // namespace JS namespace js { template XDRResult XDRBigInt(XDRState* xdr, MutableHandle bi); } // namespace js namespace JS { class BigInt final : public js::gc::CellWithLengthAndFlags { public: using Digit = uintptr_t; private: // The low CellFlagBitsReservedForGC flag bits are reserved. static constexpr uintptr_t SignBit = js::Bit(js::gc::CellFlagBitsReservedForGC); static constexpr size_t InlineDigitsLength = (js::gc::MinCellSize - sizeof(CellWithLengthAndFlags)) / sizeof(Digit); public: // The number of digits and the flags are stored in the cell header. size_t digitLength() const { return headerLengthField(); } private: // The digit storage starts with the least significant digit (little-endian // digit order). Byte order within a digit is of course native endian. union { Digit* heapDigits_; Digit inlineDigits_[InlineDigitsLength]; }; void setLengthAndFlags(uint32_t len, uint32_t flags) { setHeaderLengthAndFlags(len, flags); } public: static const JS::TraceKind TraceKind = JS::TraceKind::BigInt; void fixupAfterMovingGC() {} js::gc::AllocKind getAllocKind() const { return js::gc::AllocKind::BIGINT; } // Offset for direct access from JIT code. static constexpr size_t offsetOfDigitLength() { return offsetOfHeaderLength(); } bool hasInlineDigits() const { return digitLength() <= InlineDigitsLength; } bool hasHeapDigits() const { return !hasInlineDigits(); } using Digits = mozilla::Span; Digits digits() { return Digits(hasInlineDigits() ? inlineDigits_ : heapDigits_, digitLength()); } using ConstDigits = mozilla::Span; ConstDigits digits() const { return ConstDigits(hasInlineDigits() ? inlineDigits_ : heapDigits_, digitLength()); } Digit digit(size_t idx) const { return digits()[idx]; } void setDigit(size_t idx, Digit digit) { digits()[idx] = digit; } bool isZero() const { return digitLength() == 0; } bool isNegative() const { return headerFlagsField() & SignBit; } void initializeDigitsToZero(); void traceChildren(JSTracer* trc); static MOZ_ALWAYS_INLINE void postWriteBarrier(void* cellp, BigInt* prev, BigInt* next) { js::gc::PostWriteBarrierImpl(cellp, prev, next); } void finalize(JSFreeOp* fop); js::HashNumber hash() const; size_t sizeOfExcludingThis(mozilla::MallocSizeOf mallocSizeOf) const; size_t sizeOfExcludingThisInNursery(mozilla::MallocSizeOf mallocSizeOf) const; static BigInt* createUninitialized( JSContext* cx, size_t digitLength, bool isNegative, js::gc::InitialHeap heap = js::gc::DefaultHeap); static BigInt* createFromDouble(JSContext* cx, double d); static BigInt* createFromUint64(JSContext* cx, uint64_t n); static BigInt* createFromInt64(JSContext* cx, int64_t n); static BigInt* createFromDigit(JSContext* cx, Digit d, bool isNegative); static BigInt* createFromNonZeroRawUint64(JSContext* cx, uint64_t n, bool isNegative); // FIXME: Cache these values. static BigInt* zero(JSContext* cx, js::gc::InitialHeap heap = js::gc::DefaultHeap); static BigInt* one(JSContext* cx); static BigInt* negativeOne(JSContext* cx); static BigInt* copy(JSContext* cx, Handle x, js::gc::InitialHeap heap = js::gc::DefaultHeap); static BigInt* add(JSContext* cx, Handle x, Handle y); static BigInt* sub(JSContext* cx, Handle x, Handle y); static BigInt* mul(JSContext* cx, Handle x, Handle y); static BigInt* div(JSContext* cx, Handle x, Handle y); static BigInt* mod(JSContext* cx, Handle x, Handle y); static BigInt* pow(JSContext* cx, Handle x, Handle y); static BigInt* neg(JSContext* cx, Handle x); static BigInt* inc(JSContext* cx, Handle x); static BigInt* dec(JSContext* cx, Handle x); static BigInt* lsh(JSContext* cx, Handle x, Handle y); static BigInt* rsh(JSContext* cx, Handle x, Handle y); static BigInt* bitAnd(JSContext* cx, Handle x, Handle y); static BigInt* bitXor(JSContext* cx, Handle x, Handle y); static BigInt* bitOr(JSContext* cx, Handle x, Handle y); static BigInt* bitNot(JSContext* cx, Handle x); static int64_t toInt64(BigInt* x); static uint64_t toUint64(BigInt* x); // Return true if the BigInt is without loss of precision representable as an // int64 and store the int64 value in the output. Otherwise return false and // leave the value of the output parameter unspecified. static bool isInt64(BigInt* x, int64_t* result); static BigInt* asIntN(JSContext* cx, Handle x, uint64_t bits); static BigInt* asUintN(JSContext* cx, Handle x, uint64_t bits); // Type-checking versions of arithmetic operations. These methods // must be called with at least one BigInt operand. Binary // operations will throw a TypeError if one of the operands is not a // BigInt value. static bool addValue(JSContext* cx, Handle lhs, Handle rhs, MutableHandle res); static bool subValue(JSContext* cx, Handle lhs, Handle rhs, MutableHandle res); static bool mulValue(JSContext* cx, Handle lhs, Handle rhs, MutableHandle res); static bool divValue(JSContext* cx, Handle lhs, Handle rhs, MutableHandle res); static bool modValue(JSContext* cx, Handle lhs, Handle rhs, MutableHandle res); static bool powValue(JSContext* cx, Handle lhs, Handle rhs, MutableHandle res); static bool negValue(JSContext* cx, Handle operand, MutableHandle res); static bool incValue(JSContext* cx, Handle operand, MutableHandle res); static bool decValue(JSContext* cx, Handle operand, MutableHandle res); static bool lshValue(JSContext* cx, Handle lhs, Handle rhs, MutableHandle res); static bool rshValue(JSContext* cx, Handle lhs, Handle rhs, MutableHandle res); static bool bitAndValue(JSContext* cx, Handle lhs, Handle rhs, MutableHandle res); static bool bitXorValue(JSContext* cx, Handle lhs, Handle rhs, MutableHandle res); static bool bitOrValue(JSContext* cx, Handle lhs, Handle rhs, MutableHandle res); static bool bitNotValue(JSContext* cx, Handle operand, MutableHandle res); static double numberValue(BigInt* x); template static JSLinearString* toString(JSContext* cx, Handle x, uint8_t radix); template static BigInt* parseLiteral(JSContext* cx, const mozilla::Range chars, bool* haveParseError); template static BigInt* parseLiteralDigits( JSContext* cx, const mozilla::Range chars, unsigned radix, bool isNegative, bool* haveParseError, js::gc::InitialHeap heap = js::gc::DefaultHeap); template static bool literalIsZero(const mozilla::Range chars); // Check a literal for a non-zero character after the radix indicators // have been removed template static bool literalIsZeroNoRadix(const mozilla::Range chars); static int8_t compare(BigInt* lhs, BigInt* rhs); static bool equal(BigInt* lhs, BigInt* rhs); static bool equal(BigInt* lhs, double rhs); static JS::Result equal(JSContext* cx, Handle lhs, HandleString rhs); static JS::Result looselyEqual(JSContext* cx, Handle lhs, HandleValue rhs); static bool lessThan(BigInt* x, BigInt* y); // These methods return Nothing when the non-BigInt operand is NaN // or a string that can't be interpreted as a BigInt. static mozilla::Maybe lessThan(BigInt* lhs, double rhs); static mozilla::Maybe lessThan(double lhs, BigInt* rhs); static bool lessThan(JSContext* cx, Handle lhs, HandleString rhs, mozilla::Maybe& res); static bool lessThan(JSContext* cx, HandleString lhs, Handle rhs, mozilla::Maybe& res); static bool lessThan(JSContext* cx, HandleValue lhs, HandleValue rhs, mozilla::Maybe& res); #if defined(DEBUG) || defined(JS_JITSPEW) void dump() const; // Debugger-friendly stderr dump. void dump(js::GenericPrinter& out) const; #endif public: static constexpr size_t DigitBits = sizeof(Digit) * CHAR_BIT; private: static constexpr size_t HalfDigitBits = DigitBits / 2; static constexpr Digit HalfDigitMask = (1ull << HalfDigitBits) - 1; static_assert(DigitBits == 32 || DigitBits == 64, "Unexpected BigInt Digit size"); // Limit the size of bigint values to 1 million bits, to prevent excessive // memory usage. This limit may be raised in the future if needed. Note // however that there are many parts of the implementation that rely on being // able to count and index bits using a 32-bit signed ints, so until those // sites are fixed, the practical limit is 0x7fffffff bits. static constexpr size_t MaxBitLength = 1024 * 1024; static constexpr size_t MaxDigitLength = MaxBitLength / DigitBits; // BigInts can be serialized to strings of radix between 2 and 36. For a // given bigint, radix 2 will take the most characters (one per bit). // Ensure that the max bigint size is small enough so that we can fit the // corresponding character count into a size_t, with space for a possible // sign prefix. static_assert(MaxBitLength <= std::numeric_limits::max() - 1, "BigInt max length must be small enough to be serialized as a " "binary string"); static size_t calculateMaximumCharactersRequired(HandleBigInt x, unsigned radix); static MOZ_MUST_USE bool calculateMaximumDigitsRequired(JSContext* cx, uint8_t radix, size_t charCount, size_t* result); static bool absoluteDivWithDigitDivisor( JSContext* cx, Handle x, Digit divisor, const mozilla::Maybe>& quotient, Digit* remainder, bool quotientNegative); static void internalMultiplyAdd(BigInt* source, Digit factor, Digit summand, unsigned, BigInt* result); static void multiplyAccumulate(BigInt* multiplicand, Digit multiplier, BigInt* accumulator, unsigned accumulatorIndex); static bool absoluteDivWithBigIntDivisor( JSContext* cx, Handle dividend, Handle divisor, const mozilla::Maybe>& quotient, const mozilla::Maybe>& remainder, bool quotientNegative); enum class LeftShiftMode { SameSizeResult, AlwaysAddOneDigit }; static BigInt* absoluteLeftShiftAlwaysCopy(JSContext* cx, Handle x, unsigned shift, LeftShiftMode); static bool productGreaterThan(Digit factor1, Digit factor2, Digit high, Digit low); static BigInt* lshByAbsolute(JSContext* cx, HandleBigInt x, HandleBigInt y); static BigInt* rshByAbsolute(JSContext* cx, HandleBigInt x, HandleBigInt y); static BigInt* rshByMaximum(JSContext* cx, bool isNegative); static BigInt* truncateAndSubFromPowerOfTwo(JSContext* cx, HandleBigInt x, uint64_t bits, bool resultNegative); Digit absoluteInplaceAdd(BigInt* summand, unsigned startIndex); Digit absoluteInplaceSub(BigInt* subtrahend, unsigned startIndex); void inplaceRightShiftLowZeroBits(unsigned shift); void inplaceMultiplyAdd(Digit multiplier, Digit part); // The result of an SymmetricTrim bitwise op has as many digits as the // smaller operand. A SymmetricFill bitwise op result has as many digits as // the larger operand, with high digits (if any) copied from the larger // operand. AsymmetricFill is like SymmetricFill, except the result has as // many digits as the first operand; this kind is used for the and-not // operation. enum class BitwiseOpKind { SymmetricTrim, SymmetricFill, AsymmetricFill }; template static BigInt* absoluteBitwiseOp(JSContext* cx, Handle x, Handle y, BitwiseOp&& op); // Return `|x| & |y|`. static BigInt* absoluteAnd(JSContext* cx, Handle x, Handle y); // Return `|x| | |y|`. static BigInt* absoluteOr(JSContext* cx, Handle x, Handle y); // Return `|x| & ~|y|`. static BigInt* absoluteAndNot(JSContext* cx, Handle x, Handle y); // Return `|x| ^ |y|`. static BigInt* absoluteXor(JSContext* cx, Handle x, Handle y); // Return `(|x| + 1) * (resultNegative ? -1 : +1)`. static BigInt* absoluteAddOne(JSContext* cx, Handle x, bool resultNegative); // Return `(|x| - 1) * (resultNegative ? -1 : +1)`, with the precondition that // |x| != 0. static BigInt* absoluteSubOne(JSContext* cx, Handle x, bool resultNegative = false); // Return `a + b`, incrementing `*carry` if the addition overflows. static inline Digit digitAdd(Digit a, Digit b, Digit* carry) { Digit result = a + b; *carry += static_cast(result < a); return result; } // Return `left - right`, incrementing `*borrow` if the addition overflows. static inline Digit digitSub(Digit left, Digit right, Digit* borrow) { Digit result = left - right; *borrow += static_cast(result > left); return result; } // Compute `a * b`, returning the low half of the result and putting the // high half in `*high`. static Digit digitMul(Digit a, Digit b, Digit* high); // Divide `(high << DigitBits) + low` by `divisor`, returning the quotient // and storing the remainder in `*remainder`, with the precondition that // `high < divisor` so that the result fits in a Digit. static Digit digitDiv(Digit high, Digit low, Digit divisor, Digit* remainder); // Return `(|x| + |y|) * (resultNegative ? -1 : +1)`. static BigInt* absoluteAdd(JSContext* cx, Handle x, Handle y, bool resultNegative); // Return `(|x| - |y|) * (resultNegative ? -1 : +1)`, with the precondition // that |x| >= |y|. static BigInt* absoluteSub(JSContext* cx, Handle x, Handle y, bool resultNegative); // If `|x| < |y|` return -1; if `|x| == |y|` return 0; otherwise return 1. static int8_t absoluteCompare(BigInt* lhs, BigInt* rhs); static int8_t compare(BigInt* lhs, double rhs); template static JSLinearString* toStringBasePowerOfTwo(JSContext* cx, Handle, unsigned radix); template static JSLinearString* toStringSingleDigitBaseTen(JSContext* cx, Digit digit, bool isNegative); static JSLinearString* toStringGeneric(JSContext* cx, Handle, unsigned radix); static BigInt* destructivelyTrimHighZeroDigits(JSContext* cx, BigInt* x); bool absFitsInUint64() const { return digitLength() <= 64 / DigitBits; } uint64_t uint64FromAbsNonZero() const { MOZ_ASSERT(!isZero()); uint64_t val = digit(0); if (DigitBits == 32 && digitLength() > 1) { val |= static_cast(digit(1)) << 32; } return val; } friend struct ::JSStructuredCloneReader; friend struct ::JSStructuredCloneWriter; template friend js::XDRResult js::XDRBigInt(js::XDRState* xdr, MutableHandle bi); BigInt() = delete; BigInt(const BigInt& other) = delete; void operator=(const BigInt& other) = delete; public: static constexpr size_t offsetOfFlags() { return offsetOfHeaderFlags(); } static constexpr size_t offsetOfLength() { return offsetOfHeaderLength(); } static constexpr size_t signBitMask() { return SignBit; } private: // To help avoid writing Spectre-unsafe code, we only allow MacroAssembler to // call the methods below. friend class js::jit::MacroAssembler; static size_t offsetOfInlineDigits() { return offsetof(BigInt, inlineDigits_); } static size_t offsetOfHeapDigits() { return offsetof(BigInt, heapDigits_); } static constexpr size_t inlineDigitsLength() { return InlineDigitsLength; } private: friend class js::TenuringTracer; }; static_assert( sizeof(BigInt) >= js::gc::MinCellSize, "sizeof(BigInt) must be greater than the minimum allocation size"); static_assert( sizeof(BigInt) == js::gc::MinCellSize, "sizeof(BigInt) intended to be the same as the minimum allocation size"); } // namespace JS namespace js { template extern JSAtom* BigIntToAtom(JSContext* cx, JS::HandleBigInt bi); extern JS::BigInt* NumberToBigInt(JSContext* cx, double d); // Parse a BigInt from a string, using the method specified for StringToBigInt. // Used by the BigInt constructor among other places. extern JS::Result StringToBigInt( JSContext* cx, JS::Handle str); // Parse a BigInt from an already-validated numeric literal. Used by the // parser. Can only fail in out-of-memory situations. extern JS::BigInt* ParseBigIntLiteral( JSContext* cx, const mozilla::Range& chars); // Check an already validated numeric literal for a non-zero value. Used by // the parsers node folder in deferred mode. extern bool BigIntLiteralIsZero(const mozilla::Range& chars); extern JS::BigInt* ToBigInt(JSContext* cx, JS::Handle v); extern JS::Result ToBigInt64(JSContext* cx, JS::Handle v); extern JS::Result ToBigUint64(JSContext* cx, JS::Handle v); } // namespace js #endif