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//===-- llvm/ADT/APInt.h - For Arbitrary Precision Integer -----*- C++ -*--===//
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// The LLVM Compiler Infrastructure
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// This file is distributed under the University of Illinois Open Source
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// License. See LICENSE.TXT for details.
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//===----------------------------------------------------------------------===//
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// This file implements a class to represent arbitrary precision integral
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// constant values and operations on them.
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//===----------------------------------------------------------------------===//
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#include "llvm/Support/MathExtras.h"
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class FoldingSetNodeID;
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class SmallVectorImpl;
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// An unsigned host type used as a single part of a multi-part
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typedef uint64_t integerPart;
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const unsigned int host_char_bit = 8;
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const unsigned int integerPartWidth = host_char_bit *
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static_cast<unsigned int>(sizeof(integerPart));
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//===----------------------------------------------------------------------===//
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//===----------------------------------------------------------------------===//
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/// APInt - This class represents arbitrary precision constant integral values.
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/// It is a functional replacement for common case unsigned integer type like
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/// "unsigned", "unsigned long" or "uint64_t", but also allows non-byte-width
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/// integer sizes and large integer value types such as 3-bits, 15-bits, or more
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/// than 64-bits of precision. APInt provides a variety of arithmetic operators
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/// and methods to manipulate integer values of any bit-width. It supports both
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/// the typical integer arithmetic and comparison operations as well as bitwise
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/// The class has several invariants worth noting:
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/// * All bit, byte, and word positions are zero-based.
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/// * Once the bit width is set, it doesn't change except by the Truncate,
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/// SignExtend, or ZeroExtend operations.
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/// * All binary operators must be on APInt instances of the same bit width.
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/// Attempting to use these operators on instances with different bit
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/// widths will yield an assertion.
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/// * The value is stored canonically as an unsigned value. For operations
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/// where it makes a difference, there are both signed and unsigned variants
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/// of the operation. For example, sdiv and udiv. However, because the bit
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/// widths must be the same, operations such as Mul and Add produce the same
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/// results regardless of whether the values are interpreted as signed or
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/// * In general, the class tries to follow the style of computation that LLVM
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/// uses in its IR. This simplifies its use for LLVM.
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/// @brief Class for arbitrary precision integers.
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unsigned BitWidth; ///< The number of bits in this APInt.
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/// This union is used to store the integer value. When the
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/// integer bit-width <= 64, it uses VAL, otherwise it uses pVal.
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uint64_t VAL; ///< Used to store the <= 64 bits integer value.
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uint64_t *pVal; ///< Used to store the >64 bits integer value.
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/// This enum is used to hold the constants we needed for APInt.
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APINT_BITS_PER_WORD = static_cast<unsigned int>(sizeof(uint64_t)) *
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/// Byte size of a word
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APINT_WORD_SIZE = static_cast<unsigned int>(sizeof(uint64_t))
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/// This constructor is used only internally for speed of construction of
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/// temporaries. It is unsafe for general use so it is not public.
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/// @brief Fast internal constructor
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APInt(uint64_t* val, unsigned bits) : BitWidth(bits), pVal(val) { }
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/// @returns true if the number of bits <= 64, false otherwise.
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/// @brief Determine if this APInt just has one word to store value.
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bool isSingleWord() const {
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return BitWidth <= APINT_BITS_PER_WORD;
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/// @returns the word position for the specified bit position.
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/// @brief Determine which word a bit is in.
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static unsigned whichWord(unsigned bitPosition) {
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return bitPosition / APINT_BITS_PER_WORD;
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/// @returns the bit position in a word for the specified bit position
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/// @brief Determine which bit in a word a bit is in.
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static unsigned whichBit(unsigned bitPosition) {
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return bitPosition % APINT_BITS_PER_WORD;
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/// This method generates and returns a uint64_t (word) mask for a single
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/// bit at a specific bit position. This is used to mask the bit in the
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/// corresponding word.
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/// @returns a uint64_t with only bit at "whichBit(bitPosition)" set
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/// @brief Get a single bit mask.
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static uint64_t maskBit(unsigned bitPosition) {
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return 1ULL << whichBit(bitPosition);
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/// This method is used internally to clear the to "N" bits in the high order
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/// word that are not used by the APInt. This is needed after the most
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/// significant word is assigned a value to ensure that those bits are
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/// @brief Clear unused high order bits
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APInt& clearUnusedBits() {
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// Compute how many bits are used in the final word
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unsigned wordBits = BitWidth % APINT_BITS_PER_WORD;
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// If all bits are used, we want to leave the value alone. This also
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// avoids the undefined behavior of >> when the shift is the same size as
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// the word size (64).
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// Mask out the high bits.
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uint64_t mask = ~uint64_t(0ULL) >> (APINT_BITS_PER_WORD - wordBits);
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pVal[getNumWords() - 1] &= mask;
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/// @returns the corresponding word for the specified bit position.
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/// @brief Get the word corresponding to a bit position
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uint64_t getWord(unsigned bitPosition) const {
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return isSingleWord() ? VAL : pVal[whichWord(bitPosition)];
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/// Converts a string into a number. The string must be non-empty
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/// and well-formed as a number of the given base. The bit-width
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/// must be sufficient to hold the result.
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/// This is used by the constructors that take string arguments.
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/// StringRef::getAsInteger is superficially similar but (1) does
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/// not assume that the string is well-formed and (2) grows the
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/// result to hold the input.
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/// @param radix 2, 8, 10, or 16
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/// @brief Convert a char array into an APInt
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void fromString(unsigned numBits, StringRef str, uint8_t radix);
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/// This is used by the toString method to divide by the radix. It simply
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/// provides a more convenient form of divide for internal use since KnuthDiv
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/// has specific constraints on its inputs. If those constraints are not met
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/// then it provides a simpler form of divide.
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/// @brief An internal division function for dividing APInts.
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static void divide(const APInt LHS, unsigned lhsWords,
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const APInt &RHS, unsigned rhsWords,
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APInt *Quotient, APInt *Remainder);
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/// out-of-line slow case for inline constructor
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void initSlowCase(unsigned numBits, uint64_t val, bool isSigned);
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/// out-of-line slow case for inline copy constructor
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void initSlowCase(const APInt& that);
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/// out-of-line slow case for shl
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APInt shlSlowCase(unsigned shiftAmt) const;
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/// out-of-line slow case for operator&
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APInt AndSlowCase(const APInt& RHS) const;
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/// out-of-line slow case for operator|
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APInt OrSlowCase(const APInt& RHS) const;
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/// out-of-line slow case for operator^
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APInt XorSlowCase(const APInt& RHS) const;
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/// out-of-line slow case for operator=
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APInt& AssignSlowCase(const APInt& RHS);
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/// out-of-line slow case for operator==
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bool EqualSlowCase(const APInt& RHS) const;
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/// out-of-line slow case for operator==
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bool EqualSlowCase(uint64_t Val) const;
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/// out-of-line slow case for countLeadingZeros
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unsigned countLeadingZerosSlowCase() const;
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/// out-of-line slow case for countTrailingOnes
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unsigned countTrailingOnesSlowCase() const;
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/// out-of-line slow case for countPopulation
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unsigned countPopulationSlowCase() const;
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/// @name Constructors
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/// If isSigned is true then val is treated as if it were a signed value
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/// (i.e. as an int64_t) and the appropriate sign extension to the bit width
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/// will be done. Otherwise, no sign extension occurs (high order bits beyond
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/// the range of val are zero filled).
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/// @param numBits the bit width of the constructed APInt
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/// @param val the initial value of the APInt
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/// @param isSigned how to treat signedness of val
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/// @brief Create a new APInt of numBits width, initialized as val.
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APInt(unsigned numBits, uint64_t val, bool isSigned = false)
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: BitWidth(numBits), VAL(0) {
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assert(BitWidth && "bitwidth too small");
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initSlowCase(numBits, val, isSigned);
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/// Note that numWords can be smaller or larger than the corresponding bit
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/// width but any extraneous bits will be dropped.
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/// @param numBits the bit width of the constructed APInt
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/// @param numWords the number of words in bigVal
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/// @param bigVal a sequence of words to form the initial value of the APInt
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/// @brief Construct an APInt of numBits width, initialized as bigVal[].
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APInt(unsigned numBits, unsigned numWords, const uint64_t bigVal[]);
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/// This constructor interprets the string \arg str in the given radix. The
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/// interpretation stops when the first character that is not suitable for the
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/// radix is encountered, or the end of the string. Acceptable radix values
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/// are 2, 8, 10 and 16. It is an error for the value implied by the string to
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/// require more bits than numBits.
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/// @param numBits the bit width of the constructed APInt
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/// @param str the string to be interpreted
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/// @param radix the radix to use for the conversion
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/// @brief Construct an APInt from a string representation.
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APInt(unsigned numBits, StringRef str, uint8_t radix);
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/// Simply makes *this a copy of that.
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/// @brief Copy Constructor.
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APInt(const APInt& that)
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: BitWidth(that.BitWidth), VAL(0) {
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assert(BitWidth && "bitwidth too small");
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/// @brief Destructor.
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/// Default constructor that creates an uninitialized APInt. This is useful
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/// for object deserialization (pair this with the static method Read).
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explicit APInt() : BitWidth(1) {}
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/// Profile - Used to insert APInt objects, or objects that contain APInt
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/// objects, into FoldingSets.
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void Profile(FoldingSetNodeID& id) const;
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/// @brief Used by the Bitcode serializer to emit APInts to Bitcode.
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void Emit(Serializer& S) const;
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/// @brief Used by the Bitcode deserializer to deserialize APInts.
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void Read(Deserializer& D);
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/// @name Value Tests
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/// This tests the high bit of this APInt to determine if it is set.
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/// @returns true if this APInt is negative, false otherwise
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/// @brief Determine sign of this APInt.
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bool isNegative() const {
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return (*this)[BitWidth - 1];
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/// This tests the high bit of the APInt to determine if it is unset.
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/// @brief Determine if this APInt Value is non-negative (>= 0)
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bool isNonNegative() const {
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return !isNegative();
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/// This tests if the value of this APInt is positive (> 0). Note
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/// that 0 is not a positive value.
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/// @returns true if this APInt is positive.
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/// @brief Determine if this APInt Value is positive.
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bool isStrictlyPositive() const {
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return isNonNegative() && (*this) != 0;
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/// This checks to see if the value has all bits of the APInt are set or not.
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/// @brief Determine if all bits are set
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bool isAllOnesValue() const {
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return countPopulation() == BitWidth;
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/// This checks to see if the value of this APInt is the maximum unsigned
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/// value for the APInt's bit width.
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/// @brief Determine if this is the largest unsigned value.
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bool isMaxValue() const {
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return countPopulation() == BitWidth;
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/// This checks to see if the value of this APInt is the maximum signed
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/// value for the APInt's bit width.
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/// @brief Determine if this is the largest signed value.
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bool isMaxSignedValue() const {
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return BitWidth == 1 ? VAL == 0 :
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!isNegative() && countPopulation() == BitWidth - 1;
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/// This checks to see if the value of this APInt is the minimum unsigned
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/// value for the APInt's bit width.
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/// @brief Determine if this is the smallest unsigned value.
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bool isMinValue() const {
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return countPopulation() == 0;
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/// This checks to see if the value of this APInt is the minimum signed
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/// value for the APInt's bit width.
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/// @brief Determine if this is the smallest signed value.
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bool isMinSignedValue() const {
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return BitWidth == 1 ? VAL == 1 :
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isNegative() && countPopulation() == 1;
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/// @brief Check if this APInt has an N-bits unsigned integer value.
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bool isIntN(unsigned N) const {
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assert(N && "N == 0 ???");
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if (N >= getBitWidth())
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return VAL == (VAL & (~0ULL >> (64 - N)));
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APInt Tmp(N, getNumWords(), pVal);
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Tmp.zext(getBitWidth());
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return Tmp == (*this);
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/// @brief Check if this APInt has an N-bits signed integer value.
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bool isSignedIntN(unsigned N) const {
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assert(N && "N == 0 ???");
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return getMinSignedBits() <= N;
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/// @returns true if the argument APInt value is a power of two > 0.
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bool isPowerOf2() const;
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/// isSignBit - Return true if this is the value returned by getSignBit.
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bool isSignBit() const { return isMinSignedValue(); }
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/// This converts the APInt to a boolean value as a test against zero.
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/// @brief Boolean conversion function.
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bool getBoolValue() const {
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/// getLimitedValue - If this value is smaller than the specified limit,
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/// return it, otherwise return the limit value. This causes the value
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/// to saturate to the limit.
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uint64_t getLimitedValue(uint64_t Limit = ~0ULL) const {
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return (getActiveBits() > 64 || getZExtValue() > Limit) ?
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Limit : getZExtValue();
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/// @name Value Generators
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/// @brief Gets maximum unsigned value of APInt for specific bit width.
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static APInt getMaxValue(unsigned numBits) {
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return APInt(numBits, 0).set();
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/// @brief Gets maximum signed value of APInt for a specific bit width.
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static APInt getSignedMaxValue(unsigned numBits) {
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return APInt(numBits, 0).set().clear(numBits - 1);
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/// @brief Gets minimum unsigned value of APInt for a specific bit width.
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static APInt getMinValue(unsigned numBits) {
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return APInt(numBits, 0);
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/// @brief Gets minimum signed value of APInt for a specific bit width.
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static APInt getSignedMinValue(unsigned numBits) {
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return APInt(numBits, 0).set(numBits - 1);
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/// getSignBit - This is just a wrapper function of getSignedMinValue(), and
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/// it helps code readability when we want to get a SignBit.
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/// @brief Get the SignBit for a specific bit width.
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static APInt getSignBit(unsigned BitWidth) {
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return getSignedMinValue(BitWidth);
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/// @returns the all-ones value for an APInt of the specified bit-width.
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/// @brief Get the all-ones value.
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static APInt getAllOnesValue(unsigned numBits) {
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return APInt(numBits, 0).set();
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/// @returns the '0' value for an APInt of the specified bit-width.
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/// @brief Get the '0' value.
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static APInt getNullValue(unsigned numBits) {
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return APInt(numBits, 0);
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/// Get an APInt with the same BitWidth as this APInt, just zero mask
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/// the low bits and right shift to the least significant bit.
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/// @returns the high "numBits" bits of this APInt.
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APInt getHiBits(unsigned numBits) const;
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/// Get an APInt with the same BitWidth as this APInt, just zero mask
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/// @returns the low "numBits" bits of this APInt.
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APInt getLoBits(unsigned numBits) const;
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/// Constructs an APInt value that has a contiguous range of bits set. The
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/// bits from loBit (inclusive) to hiBit (exclusive) will be set. All other
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/// bits will be zero. For example, with parameters(32, 0, 16) you would get
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/// 0x0000FFFF. If hiBit is less than loBit then the set bits "wrap". For
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/// example, with parameters (32, 28, 4), you would get 0xF000000F.
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/// @param numBits the intended bit width of the result
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/// @param loBit the index of the lowest bit set.
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/// @param hiBit the index of the highest bit set.
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/// @returns An APInt value with the requested bits set.
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/// @brief Get a value with a block of bits set.
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static APInt getBitsSet(unsigned numBits, unsigned loBit, unsigned hiBit) {
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assert(hiBit <= numBits && "hiBit out of range");
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assert(loBit < numBits && "loBit out of range");
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return getLowBitsSet(numBits, hiBit) |
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getHighBitsSet(numBits, numBits-loBit);
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return getLowBitsSet(numBits, hiBit-loBit).shl(loBit);
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/// Constructs an APInt value that has the top hiBitsSet bits set.
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/// @param numBits the bitwidth of the result
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/// @param hiBitsSet the number of high-order bits set in the result.
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/// @brief Get a value with high bits set
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static APInt getHighBitsSet(unsigned numBits, unsigned hiBitsSet) {
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assert(hiBitsSet <= numBits && "Too many bits to set!");
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// Handle a degenerate case, to avoid shifting by word size
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return APInt(numBits, 0);
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unsigned shiftAmt = numBits - hiBitsSet;
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// For small values, return quickly
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if (numBits <= APINT_BITS_PER_WORD)
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return APInt(numBits, ~0ULL << shiftAmt);
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return getAllOnesValue(numBits).shl(shiftAmt);
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/// Constructs an APInt value that has the bottom loBitsSet bits set.
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/// @param numBits the bitwidth of the result
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/// @param loBitsSet the number of low-order bits set in the result.
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/// @brief Get a value with low bits set
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static APInt getLowBitsSet(unsigned numBits, unsigned loBitsSet) {
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assert(loBitsSet <= numBits && "Too many bits to set!");
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// Handle a degenerate case, to avoid shifting by word size
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return APInt(numBits, 0);
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if (loBitsSet == APINT_BITS_PER_WORD)
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return APInt(numBits, -1ULL);
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// For small values, return quickly.
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if (numBits < APINT_BITS_PER_WORD)
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return APInt(numBits, (1ULL << loBitsSet) - 1);
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return getAllOnesValue(numBits).lshr(numBits - loBitsSet);
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/// The hash value is computed as the sum of the words and the bit width.
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/// @returns A hash value computed from the sum of the APInt words.
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/// @brief Get a hash value based on this APInt
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uint64_t getHashValue() const;
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/// This function returns a pointer to the internal storage of the APInt.
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/// This is useful for writing out the APInt in binary form without any
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const uint64_t* getRawData() const {
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/// @name Unary Operators
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/// @returns a new APInt value representing *this incremented by one
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/// @brief Postfix increment operator.
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const APInt operator++(int) {
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/// @returns *this incremented by one
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/// @brief Prefix increment operator.
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/// @returns a new APInt representing *this decremented by one.
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/// @brief Postfix decrement operator.
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const APInt operator--(int) {
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/// @returns *this decremented by one.
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/// @brief Prefix decrement operator.
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/// Performs a bitwise complement operation on this APInt.
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/// @returns an APInt that is the bitwise complement of *this
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/// @brief Unary bitwise complement operator.
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APInt operator~() const {
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/// Negates *this using two's complement logic.
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/// @returns An APInt value representing the negation of *this.
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/// @brief Unary negation operator
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APInt operator-() const {
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return APInt(BitWidth, 0) - (*this);
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/// Performs logical negation operation on this APInt.
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/// @returns true if *this is zero, false otherwise.
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/// @brief Logical negation operator.
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bool operator!() const;
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/// @name Assignment Operators
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/// @returns *this after assignment of RHS.
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/// @brief Copy assignment operator.
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APInt& operator=(const APInt& RHS) {
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// If the bitwidths are the same, we can avoid mucking with memory
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if (isSingleWord() && RHS.isSingleWord()) {
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BitWidth = RHS.BitWidth;
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return clearUnusedBits();
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return AssignSlowCase(RHS);
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/// The RHS value is assigned to *this. If the significant bits in RHS exceed
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/// the bit width, the excess bits are truncated. If the bit width is larger
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/// than 64, the value is zero filled in the unspecified high order bits.
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/// @returns *this after assignment of RHS value.
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/// @brief Assignment operator.
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APInt& operator=(uint64_t RHS);
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/// Performs a bitwise AND operation on this APInt and RHS. The result is
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/// assigned to *this.
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/// @returns *this after ANDing with RHS.
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/// @brief Bitwise AND assignment operator.
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APInt& operator&=(const APInt& RHS);
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/// Performs a bitwise OR operation on this APInt and RHS. The result is
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/// @returns *this after ORing with RHS.
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/// @brief Bitwise OR assignment operator.
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APInt& operator|=(const APInt& RHS);
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/// Performs a bitwise OR operation on this APInt and RHS. RHS is
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/// logically zero-extended or truncated to match the bit-width of
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/// @brief Bitwise OR assignment operator.
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APInt& operator|=(uint64_t RHS) {
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if (isSingleWord()) {
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/// Performs a bitwise XOR operation on this APInt and RHS. The result is
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/// assigned to *this.
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/// @returns *this after XORing with RHS.
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/// @brief Bitwise XOR assignment operator.
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APInt& operator^=(const APInt& RHS);
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/// Multiplies this APInt by RHS and assigns the result to *this.
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/// @brief Multiplication assignment operator.
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APInt& operator*=(const APInt& RHS);
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/// Adds RHS to *this and assigns the result to *this.
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/// @brief Addition assignment operator.
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APInt& operator+=(const APInt& RHS);
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/// Subtracts RHS from *this and assigns the result to *this.
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/// @brief Subtraction assignment operator.
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APInt& operator-=(const APInt& RHS);
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/// Shifts *this left by shiftAmt and assigns the result to *this.
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/// @returns *this after shifting left by shiftAmt
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/// @brief Left-shift assignment function.
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APInt& operator<<=(unsigned shiftAmt) {
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*this = shl(shiftAmt);
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/// @name Binary Operators
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/// Performs a bitwise AND operation on *this and RHS.
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/// @returns An APInt value representing the bitwise AND of *this and RHS.
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/// @brief Bitwise AND operator.
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APInt operator&(const APInt& RHS) const {
635
assert(BitWidth == RHS.BitWidth && "Bit widths must be the same");
637
return APInt(getBitWidth(), VAL & RHS.VAL);
638
return AndSlowCase(RHS);
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APInt And(const APInt& RHS) const {
641
return this->operator&(RHS);
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/// Performs a bitwise OR operation on *this and RHS.
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/// @returns An APInt value representing the bitwise OR of *this and RHS.
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/// @brief Bitwise OR operator.
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APInt operator|(const APInt& RHS) const {
648
assert(BitWidth == RHS.BitWidth && "Bit widths must be the same");
650
return APInt(getBitWidth(), VAL | RHS.VAL);
651
return OrSlowCase(RHS);
653
APInt Or(const APInt& RHS) const {
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return this->operator|(RHS);
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/// Performs a bitwise XOR operation on *this and RHS.
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/// @returns An APInt value representing the bitwise XOR of *this and RHS.
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/// @brief Bitwise XOR operator.
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APInt operator^(const APInt& RHS) const {
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assert(BitWidth == RHS.BitWidth && "Bit widths must be the same");
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return APInt(BitWidth, VAL ^ RHS.VAL);
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return XorSlowCase(RHS);
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APInt Xor(const APInt& RHS) const {
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return this->operator^(RHS);
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/// Multiplies this APInt by RHS and returns the result.
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/// @brief Multiplication operator.
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APInt operator*(const APInt& RHS) const;
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/// Adds RHS to this APInt and returns the result.
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/// @brief Addition operator.
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APInt operator+(const APInt& RHS) const;
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APInt operator+(uint64_t RHS) const {
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return (*this) + APInt(BitWidth, RHS);
681
/// Subtracts RHS from this APInt and returns the result.
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/// @brief Subtraction operator.
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APInt operator-(const APInt& RHS) const;
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APInt operator-(uint64_t RHS) const {
685
return (*this) - APInt(BitWidth, RHS);
688
APInt operator<<(unsigned Bits) const {
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APInt operator<<(const APInt &Bits) const {
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/// Arithmetic right-shift this APInt by shiftAmt.
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/// @brief Arithmetic right-shift function.
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APInt ashr(unsigned shiftAmt) const;
700
/// Logical right-shift this APInt by shiftAmt.
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/// @brief Logical right-shift function.
702
APInt lshr(unsigned shiftAmt) const;
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/// Left-shift this APInt by shiftAmt.
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/// @brief Left-shift function.
706
APInt shl(unsigned shiftAmt) const {
707
assert(shiftAmt <= BitWidth && "Invalid shift amount");
708
if (isSingleWord()) {
709
if (shiftAmt == BitWidth)
710
return APInt(BitWidth, 0); // avoid undefined shift results
711
return APInt(BitWidth, VAL << shiftAmt);
713
return shlSlowCase(shiftAmt);
716
/// @brief Rotate left by rotateAmt.
717
APInt rotl(unsigned rotateAmt) const;
719
/// @brief Rotate right by rotateAmt.
720
APInt rotr(unsigned rotateAmt) const;
722
/// Arithmetic right-shift this APInt by shiftAmt.
723
/// @brief Arithmetic right-shift function.
724
APInt ashr(const APInt &shiftAmt) const;
726
/// Logical right-shift this APInt by shiftAmt.
727
/// @brief Logical right-shift function.
728
APInt lshr(const APInt &shiftAmt) const;
730
/// Left-shift this APInt by shiftAmt.
731
/// @brief Left-shift function.
732
APInt shl(const APInt &shiftAmt) const;
734
/// @brief Rotate left by rotateAmt.
735
APInt rotl(const APInt &rotateAmt) const;
737
/// @brief Rotate right by rotateAmt.
738
APInt rotr(const APInt &rotateAmt) const;
740
/// Perform an unsigned divide operation on this APInt by RHS. Both this and
741
/// RHS are treated as unsigned quantities for purposes of this division.
742
/// @returns a new APInt value containing the division result
743
/// @brief Unsigned division operation.
744
APInt udiv(const APInt& RHS) const;
746
/// Signed divide this APInt by APInt RHS.
747
/// @brief Signed division function for APInt.
748
APInt sdiv(const APInt& RHS) const {
750
if (RHS.isNegative())
751
return (-(*this)).udiv(-RHS);
753
return -((-(*this)).udiv(RHS));
754
else if (RHS.isNegative())
755
return -(this->udiv(-RHS));
756
return this->udiv(RHS);
759
/// Perform an unsigned remainder operation on this APInt with RHS being the
760
/// divisor. Both this and RHS are treated as unsigned quantities for purposes
761
/// of this operation. Note that this is a true remainder operation and not
762
/// a modulo operation because the sign follows the sign of the dividend
764
/// @returns a new APInt value containing the remainder result
765
/// @brief Unsigned remainder operation.
766
APInt urem(const APInt& RHS) const;
768
/// Signed remainder operation on APInt.
769
/// @brief Function for signed remainder operation.
770
APInt srem(const APInt& RHS) const {
772
if (RHS.isNegative())
773
return -((-(*this)).urem(-RHS));
775
return -((-(*this)).urem(RHS));
776
else if (RHS.isNegative())
777
return this->urem(-RHS);
778
return this->urem(RHS);
781
/// Sometimes it is convenient to divide two APInt values and obtain both the
782
/// quotient and remainder. This function does both operations in the same
783
/// computation making it a little more efficient. The pair of input arguments
784
/// may overlap with the pair of output arguments. It is safe to call
785
/// udivrem(X, Y, X, Y), for example.
786
/// @brief Dual division/remainder interface.
787
static void udivrem(const APInt &LHS, const APInt &RHS,
788
APInt &Quotient, APInt &Remainder);
790
static void sdivrem(const APInt &LHS, const APInt &RHS,
791
APInt &Quotient, APInt &Remainder)
793
if (LHS.isNegative()) {
794
if (RHS.isNegative())
795
APInt::udivrem(-LHS, -RHS, Quotient, Remainder);
797
APInt::udivrem(-LHS, RHS, Quotient, Remainder);
798
Quotient = -Quotient;
799
Remainder = -Remainder;
800
} else if (RHS.isNegative()) {
801
APInt::udivrem(LHS, -RHS, Quotient, Remainder);
802
Quotient = -Quotient;
804
APInt::udivrem(LHS, RHS, Quotient, Remainder);
808
/// @returns the bit value at bitPosition
809
/// @brief Array-indexing support.
810
bool operator[](unsigned bitPosition) const;
813
/// @name Comparison Operators
815
/// Compares this APInt with RHS for the validity of the equality
817
/// @brief Equality operator.
818
bool operator==(const APInt& RHS) const {
819
assert(BitWidth == RHS.BitWidth && "Comparison requires equal bit widths");
821
return VAL == RHS.VAL;
822
return EqualSlowCase(RHS);
825
/// Compares this APInt with a uint64_t for the validity of the equality
827
/// @returns true if *this == Val
828
/// @brief Equality operator.
829
bool operator==(uint64_t Val) const {
832
return EqualSlowCase(Val);
835
/// Compares this APInt with RHS for the validity of the equality
837
/// @returns true if *this == Val
838
/// @brief Equality comparison.
839
bool eq(const APInt &RHS) const {
840
return (*this) == RHS;
843
/// Compares this APInt with RHS for the validity of the inequality
845
/// @returns true if *this != Val
846
/// @brief Inequality operator.
847
bool operator!=(const APInt& RHS) const {
848
return !((*this) == RHS);
851
/// Compares this APInt with a uint64_t for the validity of the inequality
853
/// @returns true if *this != Val
854
/// @brief Inequality operator.
855
bool operator!=(uint64_t Val) const {
856
return !((*this) == Val);
859
/// Compares this APInt with RHS for the validity of the inequality
861
/// @returns true if *this != Val
862
/// @brief Inequality comparison
863
bool ne(const APInt &RHS) const {
864
return !((*this) == RHS);
867
/// Regards both *this and RHS as unsigned quantities and compares them for
868
/// the validity of the less-than relationship.
869
/// @returns true if *this < RHS when both are considered unsigned.
870
/// @brief Unsigned less than comparison
871
bool ult(const APInt& RHS) const;
873
/// Regards both *this as an unsigned quantity and compares it with RHS for
874
/// the validity of the less-than relationship.
875
/// @returns true if *this < RHS when considered unsigned.
876
/// @brief Unsigned less than comparison
877
bool ult(uint64_t RHS) const {
878
return ult(APInt(getBitWidth(), RHS));
881
/// Regards both *this and RHS as signed quantities and compares them for
882
/// validity of the less-than relationship.
883
/// @returns true if *this < RHS when both are considered signed.
884
/// @brief Signed less than comparison
885
bool slt(const APInt& RHS) const;
887
/// Regards both *this as a signed quantity and compares it with RHS for
888
/// the validity of the less-than relationship.
889
/// @returns true if *this < RHS when considered signed.
890
/// @brief Signed less than comparison
891
bool slt(uint64_t RHS) const {
892
return slt(APInt(getBitWidth(), RHS));
895
/// Regards both *this and RHS as unsigned quantities and compares them for
896
/// validity of the less-or-equal relationship.
897
/// @returns true if *this <= RHS when both are considered unsigned.
898
/// @brief Unsigned less or equal comparison
899
bool ule(const APInt& RHS) const {
900
return ult(RHS) || eq(RHS);
903
/// Regards both *this as an unsigned quantity and compares it with RHS for
904
/// the validity of the less-or-equal relationship.
905
/// @returns true if *this <= RHS when considered unsigned.
906
/// @brief Unsigned less or equal comparison
907
bool ule(uint64_t RHS) const {
908
return ule(APInt(getBitWidth(), RHS));
911
/// Regards both *this and RHS as signed quantities and compares them for
912
/// validity of the less-or-equal relationship.
913
/// @returns true if *this <= RHS when both are considered signed.
914
/// @brief Signed less or equal comparison
915
bool sle(const APInt& RHS) const {
916
return slt(RHS) || eq(RHS);
919
/// Regards both *this as a signed quantity and compares it with RHS for
920
/// the validity of the less-or-equal relationship.
921
/// @returns true if *this <= RHS when considered signed.
922
/// @brief Signed less or equal comparison
923
bool sle(uint64_t RHS) const {
924
return sle(APInt(getBitWidth(), RHS));
927
/// Regards both *this and RHS as unsigned quantities and compares them for
928
/// the validity of the greater-than relationship.
929
/// @returns true if *this > RHS when both are considered unsigned.
930
/// @brief Unsigned greather than comparison
931
bool ugt(const APInt& RHS) const {
932
return !ult(RHS) && !eq(RHS);
935
/// Regards both *this as an unsigned quantity and compares it with RHS for
936
/// the validity of the greater-than relationship.
937
/// @returns true if *this > RHS when considered unsigned.
938
/// @brief Unsigned greater than comparison
939
bool ugt(uint64_t RHS) const {
940
return ugt(APInt(getBitWidth(), RHS));
943
/// Regards both *this and RHS as signed quantities and compares them for
944
/// the validity of the greater-than relationship.
945
/// @returns true if *this > RHS when both are considered signed.
946
/// @brief Signed greather than comparison
947
bool sgt(const APInt& RHS) const {
948
return !slt(RHS) && !eq(RHS);
951
/// Regards both *this as a signed quantity and compares it with RHS for
952
/// the validity of the greater-than relationship.
953
/// @returns true if *this > RHS when considered signed.
954
/// @brief Signed greater than comparison
955
bool sgt(uint64_t RHS) const {
956
return sgt(APInt(getBitWidth(), RHS));
959
/// Regards both *this and RHS as unsigned quantities and compares them for
960
/// validity of the greater-or-equal relationship.
961
/// @returns true if *this >= RHS when both are considered unsigned.
962
/// @brief Unsigned greater or equal comparison
963
bool uge(const APInt& RHS) const {
967
/// Regards both *this as an unsigned quantity and compares it with RHS for
968
/// the validity of the greater-or-equal relationship.
969
/// @returns true if *this >= RHS when considered unsigned.
970
/// @brief Unsigned greater or equal comparison
971
bool uge(uint64_t RHS) const {
972
return uge(APInt(getBitWidth(), RHS));
975
/// Regards both *this and RHS as signed quantities and compares them for
976
/// validity of the greater-or-equal relationship.
977
/// @returns true if *this >= RHS when both are considered signed.
978
/// @brief Signed greather or equal comparison
979
bool sge(const APInt& RHS) const {
983
/// Regards both *this as a signed quantity and compares it with RHS for
984
/// the validity of the greater-or-equal relationship.
985
/// @returns true if *this >= RHS when considered signed.
986
/// @brief Signed greater or equal comparison
987
bool sge(uint64_t RHS) const {
988
return sge(APInt(getBitWidth(), RHS));
991
/// This operation tests if there are any pairs of corresponding bits
992
/// between this APInt and RHS that are both set.
993
bool intersects(const APInt &RHS) const {
994
return (*this & RHS) != 0;
998
/// @name Resizing Operators
1000
/// Truncate the APInt to a specified width. It is an error to specify a width
1001
/// that is greater than or equal to the current width.
1002
/// @brief Truncate to new width.
1003
APInt &trunc(unsigned width);
1005
/// This operation sign extends the APInt to a new width. If the high order
1006
/// bit is set, the fill on the left will be done with 1 bits, otherwise zero.
1007
/// It is an error to specify a width that is less than or equal to the
1009
/// @brief Sign extend to a new width.
1010
APInt &sext(unsigned width);
1012
/// This operation zero extends the APInt to a new width. The high order bits
1013
/// are filled with 0 bits. It is an error to specify a width that is less
1014
/// than or equal to the current width.
1015
/// @brief Zero extend to a new width.
1016
APInt &zext(unsigned width);
1018
/// Make this APInt have the bit width given by \p width. The value is sign
1019
/// extended, truncated, or left alone to make it that width.
1020
/// @brief Sign extend or truncate to width
1021
APInt &sextOrTrunc(unsigned width);
1023
/// Make this APInt have the bit width given by \p width. The value is zero
1024
/// extended, truncated, or left alone to make it that width.
1025
/// @brief Zero extend or truncate to width
1026
APInt &zextOrTrunc(unsigned width);
1029
/// @name Bit Manipulation Operators
1031
/// @brief Set every bit to 1.
1033
if (isSingleWord()) {
1035
return clearUnusedBits();
1038
// Set all the bits in all the words.
1039
for (unsigned i = 0; i < getNumWords(); ++i)
1041
// Clear the unused ones
1042
return clearUnusedBits();
1045
/// Set the given bit to 1 whose position is given as "bitPosition".
1046
/// @brief Set a given bit to 1.
1047
APInt& set(unsigned bitPosition);
1049
/// @brief Set every bit to 0.
1054
memset(pVal, 0, getNumWords() * APINT_WORD_SIZE);
1058
/// Set the given bit to 0 whose position is given as "bitPosition".
1059
/// @brief Set a given bit to 0.
1060
APInt& clear(unsigned bitPosition);
1062
/// @brief Toggle every bit to its opposite value.
1064
if (isSingleWord()) {
1066
return clearUnusedBits();
1068
for (unsigned i = 0; i < getNumWords(); ++i)
1070
return clearUnusedBits();
1073
/// Toggle a given bit to its opposite value whose position is given
1074
/// as "bitPosition".
1075
/// @brief Toggles a given bit to its opposite value.
1076
APInt& flip(unsigned bitPosition);
1079
/// @name Value Characterization Functions
1082
/// @returns the total number of bits.
1083
unsigned getBitWidth() const {
1087
/// Here one word's bitwidth equals to that of uint64_t.
1088
/// @returns the number of words to hold the integer value of this APInt.
1089
/// @brief Get the number of words.
1090
unsigned getNumWords() const {
1091
return getNumWords(BitWidth);
1094
/// Here one word's bitwidth equals to that of uint64_t.
1095
/// @returns the number of words to hold the integer value with a
1096
/// given bit width.
1097
/// @brief Get the number of words.
1098
static unsigned getNumWords(unsigned BitWidth) {
1099
return (BitWidth + APINT_BITS_PER_WORD - 1) / APINT_BITS_PER_WORD;
1102
/// This function returns the number of active bits which is defined as the
1103
/// bit width minus the number of leading zeros. This is used in several
1104
/// computations to see how "wide" the value is.
1105
/// @brief Compute the number of active bits in the value
1106
unsigned getActiveBits() const {
1107
return BitWidth - countLeadingZeros();
1110
/// This function returns the number of active words in the value of this
1111
/// APInt. This is used in conjunction with getActiveData to extract the raw
1112
/// value of the APInt.
1113
unsigned getActiveWords() const {
1114
return whichWord(getActiveBits()-1) + 1;
1117
/// Computes the minimum bit width for this APInt while considering it to be
1118
/// a signed (and probably negative) value. If the value is not negative,
1119
/// this function returns the same value as getActiveBits()+1. Otherwise, it
1120
/// returns the smallest bit width that will retain the negative value. For
1121
/// example, -1 can be written as 0b1 or 0xFFFFFFFFFF. 0b1 is shorter and so
1122
/// for -1, this function will always return 1.
1123
/// @brief Get the minimum bit size for this signed APInt
1124
unsigned getMinSignedBits() const {
1126
return BitWidth - countLeadingOnes() + 1;
1127
return getActiveBits()+1;
1130
/// This method attempts to return the value of this APInt as a zero extended
1131
/// uint64_t. The bitwidth must be <= 64 or the value must fit within a
1132
/// uint64_t. Otherwise an assertion will result.
1133
/// @brief Get zero extended value
1134
uint64_t getZExtValue() const {
1137
assert(getActiveBits() <= 64 && "Too many bits for uint64_t");
1141
/// This method attempts to return the value of this APInt as a sign extended
1142
/// int64_t. The bit width must be <= 64 or the value must fit within an
1143
/// int64_t. Otherwise an assertion will result.
1144
/// @brief Get sign extended value
1145
int64_t getSExtValue() const {
1147
return int64_t(VAL << (APINT_BITS_PER_WORD - BitWidth)) >>
1148
(APINT_BITS_PER_WORD - BitWidth);
1149
assert(getMinSignedBits() <= 64 && "Too many bits for int64_t");
1150
return int64_t(pVal[0]);
1153
/// This method determines how many bits are required to hold the APInt
1154
/// equivalent of the string given by \arg str.
1155
/// @brief Get bits required for string value.
1156
static unsigned getBitsNeeded(StringRef str, uint8_t radix);
1158
/// countLeadingZeros - This function is an APInt version of the
1159
/// countLeadingZeros_{32,64} functions in MathExtras.h. It counts the number
1160
/// of zeros from the most significant bit to the first one bit.
1161
/// @returns BitWidth if the value is zero.
1162
/// @returns the number of zeros from the most significant bit to the first
1164
unsigned countLeadingZeros() const {
1165
if (isSingleWord()) {
1166
unsigned unusedBits = APINT_BITS_PER_WORD - BitWidth;
1167
return CountLeadingZeros_64(VAL) - unusedBits;
1169
return countLeadingZerosSlowCase();
1172
/// countLeadingOnes - This function is an APInt version of the
1173
/// countLeadingOnes_{32,64} functions in MathExtras.h. It counts the number
1174
/// of ones from the most significant bit to the first zero bit.
1175
/// @returns 0 if the high order bit is not set
1176
/// @returns the number of 1 bits from the most significant to the least
1177
/// @brief Count the number of leading one bits.
1178
unsigned countLeadingOnes() const;
1180
/// countTrailingZeros - This function is an APInt version of the
1181
/// countTrailingZeros_{32,64} functions in MathExtras.h. It counts
1182
/// the number of zeros from the least significant bit to the first set bit.
1183
/// @returns BitWidth if the value is zero.
1184
/// @returns the number of zeros from the least significant bit to the first
1186
/// @brief Count the number of trailing zero bits.
1187
unsigned countTrailingZeros() const;
1189
/// countTrailingOnes - This function is an APInt version of the
1190
/// countTrailingOnes_{32,64} functions in MathExtras.h. It counts
1191
/// the number of ones from the least significant bit to the first zero bit.
1192
/// @returns BitWidth if the value is all ones.
1193
/// @returns the number of ones from the least significant bit to the first
1195
/// @brief Count the number of trailing one bits.
1196
unsigned countTrailingOnes() const {
1198
return CountTrailingOnes_64(VAL);
1199
return countTrailingOnesSlowCase();
1202
/// countPopulation - This function is an APInt version of the
1203
/// countPopulation_{32,64} functions in MathExtras.h. It counts the number
1204
/// of 1 bits in the APInt value.
1205
/// @returns 0 if the value is zero.
1206
/// @returns the number of set bits.
1207
/// @brief Count the number of bits set.
1208
unsigned countPopulation() const {
1210
return CountPopulation_64(VAL);
1211
return countPopulationSlowCase();
1215
/// @name Conversion Functions
1217
void print(raw_ostream &OS, bool isSigned) const;
1219
/// toString - Converts an APInt to a string and append it to Str. Str is
1220
/// commonly a SmallString.
1221
void toString(SmallVectorImpl<char> &Str, unsigned Radix, bool Signed) const;
1223
/// Considers the APInt to be unsigned and converts it into a string in the
1224
/// radix given. The radix can be 2, 8, 10 or 16.
1225
void toStringUnsigned(SmallVectorImpl<char> &Str, unsigned Radix = 10) const {
1226
toString(Str, Radix, false);
1229
/// Considers the APInt to be signed and converts it into a string in the
1230
/// radix given. The radix can be 2, 8, 10 or 16.
1231
void toStringSigned(SmallVectorImpl<char> &Str, unsigned Radix = 10) const {
1232
toString(Str, Radix, true);
1235
/// toString - This returns the APInt as a std::string. Note that this is an
1236
/// inefficient method. It is better to pass in a SmallVector/SmallString
1237
/// to the methods above to avoid thrashing the heap for the string.
1238
std::string toString(unsigned Radix, bool Signed) const;
1241
/// @returns a byte-swapped representation of this APInt Value.
1242
APInt byteSwap() const;
1244
/// @brief Converts this APInt to a double value.
1245
double roundToDouble(bool isSigned) const;
1247
/// @brief Converts this unsigned APInt to a double value.
1248
double roundToDouble() const {
1249
return roundToDouble(false);
1252
/// @brief Converts this signed APInt to a double value.
1253
double signedRoundToDouble() const {
1254
return roundToDouble(true);
1257
/// The conversion does not do a translation from integer to double, it just
1258
/// re-interprets the bits as a double. Note that it is valid to do this on
1259
/// any bit width. Exactly 64 bits will be translated.
1260
/// @brief Converts APInt bits to a double
1261
double bitsToDouble() const {
1266
T.I = (isSingleWord() ? VAL : pVal[0]);
1270
/// The conversion does not do a translation from integer to float, it just
1271
/// re-interprets the bits as a float. Note that it is valid to do this on
1272
/// any bit width. Exactly 32 bits will be translated.
1273
/// @brief Converts APInt bits to a double
1274
float bitsToFloat() const {
1279
T.I = unsigned((isSingleWord() ? VAL : pVal[0]));
1283
/// The conversion does not do a translation from double to integer, it just
1284
/// re-interprets the bits of the double. Note that it is valid to do this on
1285
/// any bit width but bits from V may get truncated.
1286
/// @brief Converts a double to APInt bits.
1287
APInt& doubleToBits(double V) {
1297
return clearUnusedBits();
1300
/// The conversion does not do a translation from float to integer, it just
1301
/// re-interprets the bits of the float. Note that it is valid to do this on
1302
/// any bit width but bits from V may get truncated.
1303
/// @brief Converts a float to APInt bits.
1304
APInt& floatToBits(float V) {
1314
return clearUnusedBits();
1318
/// @name Mathematics Operations
1321
/// @returns the floor log base 2 of this APInt.
1322
unsigned logBase2() const {
1323
return BitWidth - 1 - countLeadingZeros();
1326
/// @returns the ceil log base 2 of this APInt.
1327
unsigned ceilLogBase2() const {
1328
return BitWidth - (*this - 1).countLeadingZeros();
1331
/// @returns the log base 2 of this APInt if its an exact power of two, -1
1333
int32_t exactLogBase2() const {
1339
/// @brief Compute the square root
1342
/// If *this is < 0 then return -(*this), otherwise *this;
1343
/// @brief Get the absolute value;
1350
/// @returns the multiplicative inverse for a given modulo.
1351
APInt multiplicativeInverse(const APInt& modulo) const;
1354
/// @name Support for division by constant
1357
/// Calculate the magic number for signed division by a constant.
1361
/// Calculate the magic number for unsigned division by a constant.
1366
/// @name Building-block Operations for APInt and APFloat
1369
// These building block operations operate on a representation of
1370
// arbitrary precision, two's-complement, bignum integer values.
1371
// They should be sufficient to implement APInt and APFloat bignum
1372
// requirements. Inputs are generally a pointer to the base of an
1373
// array of integer parts, representing an unsigned bignum, and a
1374
// count of how many parts there are.
1376
/// Sets the least significant part of a bignum to the input value,
1377
/// and zeroes out higher parts. */
1378
static void tcSet(integerPart *, integerPart, unsigned int);
1380
/// Assign one bignum to another.
1381
static void tcAssign(integerPart *, const integerPart *, unsigned int);
1383
/// Returns true if a bignum is zero, false otherwise.
1384
static bool tcIsZero(const integerPart *, unsigned int);
1386
/// Extract the given bit of a bignum; returns 0 or 1. Zero-based.
1387
static int tcExtractBit(const integerPart *, unsigned int bit);
1389
/// Copy the bit vector of width srcBITS from SRC, starting at bit
1390
/// srcLSB, to DST, of dstCOUNT parts, such that the bit srcLSB
1391
/// becomes the least significant bit of DST. All high bits above
1392
/// srcBITS in DST are zero-filled.
1393
static void tcExtract(integerPart *, unsigned int dstCount,
1394
const integerPart *,
1395
unsigned int srcBits, unsigned int srcLSB);
1397
/// Set the given bit of a bignum. Zero-based.
1398
static void tcSetBit(integerPart *, unsigned int bit);
1400
/// Clear the given bit of a bignum. Zero-based.
1401
static void tcClearBit(integerPart *, unsigned int bit);
1403
/// Returns the bit number of the least or most significant set bit
1404
/// of a number. If the input number has no bits set -1U is
1406
static unsigned int tcLSB(const integerPart *, unsigned int);
1407
static unsigned int tcMSB(const integerPart *parts, unsigned int n);
1409
/// Negate a bignum in-place.
1410
static void tcNegate(integerPart *, unsigned int);
1412
/// DST += RHS + CARRY where CARRY is zero or one. Returns the
1414
static integerPart tcAdd(integerPart *, const integerPart *,
1415
integerPart carry, unsigned);
1417
/// DST -= RHS + CARRY where CARRY is zero or one. Returns the
1419
static integerPart tcSubtract(integerPart *, const integerPart *,
1420
integerPart carry, unsigned);
1422
/// DST += SRC * MULTIPLIER + PART if add is true
1423
/// DST = SRC * MULTIPLIER + PART if add is false
1425
/// Requires 0 <= DSTPARTS <= SRCPARTS + 1. If DST overlaps SRC
1426
/// they must start at the same point, i.e. DST == SRC.
1428
/// If DSTPARTS == SRC_PARTS + 1 no overflow occurs and zero is
1429
/// returned. Otherwise DST is filled with the least significant
1430
/// DSTPARTS parts of the result, and if all of the omitted higher
1431
/// parts were zero return zero, otherwise overflow occurred and
1433
static int tcMultiplyPart(integerPart *dst, const integerPart *src,
1434
integerPart multiplier, integerPart carry,
1435
unsigned int srcParts, unsigned int dstParts,
1438
/// DST = LHS * RHS, where DST has the same width as the operands
1439
/// and is filled with the least significant parts of the result.
1440
/// Returns one if overflow occurred, otherwise zero. DST must be
1441
/// disjoint from both operands.
1442
static int tcMultiply(integerPart *, const integerPart *,
1443
const integerPart *, unsigned);
1445
/// DST = LHS * RHS, where DST has width the sum of the widths of
1446
/// the operands. No overflow occurs. DST must be disjoint from
1447
/// both operands. Returns the number of parts required to hold the
1449
static unsigned int tcFullMultiply(integerPart *, const integerPart *,
1450
const integerPart *, unsigned, unsigned);
1452
/// If RHS is zero LHS and REMAINDER are left unchanged, return one.
1453
/// Otherwise set LHS to LHS / RHS with the fractional part
1454
/// discarded, set REMAINDER to the remainder, return zero. i.e.
1456
/// OLD_LHS = RHS * LHS + REMAINDER
1458
/// SCRATCH is a bignum of the same size as the operands and result
1459
/// for use by the routine; its contents need not be initialized
1460
/// and are destroyed. LHS, REMAINDER and SCRATCH must be
1462
static int tcDivide(integerPart *lhs, const integerPart *rhs,
1463
integerPart *remainder, integerPart *scratch,
1464
unsigned int parts);
1466
/// Shift a bignum left COUNT bits. Shifted in bits are zero.
1467
/// There are no restrictions on COUNT.
1468
static void tcShiftLeft(integerPart *, unsigned int parts,
1469
unsigned int count);
1471
/// Shift a bignum right COUNT bits. Shifted in bits are zero.
1472
/// There are no restrictions on COUNT.
1473
static void tcShiftRight(integerPart *, unsigned int parts,
1474
unsigned int count);
1476
/// The obvious AND, OR and XOR and complement operations.
1477
static void tcAnd(integerPart *, const integerPart *, unsigned int);
1478
static void tcOr(integerPart *, const integerPart *, unsigned int);
1479
static void tcXor(integerPart *, const integerPart *, unsigned int);
1480
static void tcComplement(integerPart *, unsigned int);
1482
/// Comparison (unsigned) of two bignums.
1483
static int tcCompare(const integerPart *, const integerPart *,
1486
/// Increment a bignum in-place. Return the carry flag.
1487
static integerPart tcIncrement(integerPart *, unsigned int);
1489
/// Set the least significant BITS and clear the rest.
1490
static void tcSetLeastSignificantBits(integerPart *, unsigned int,
1493
/// @brief debug method
1499
/// Magic data for optimising signed division by a constant.
1501
APInt m; ///< magic number
1502
unsigned s; ///< shift amount
1505
/// Magic data for optimising unsigned division by a constant.
1507
APInt m; ///< magic number
1508
bool a; ///< add indicator
1509
unsigned s; ///< shift amount
1512
inline bool operator==(uint64_t V1, const APInt& V2) {
1516
inline bool operator!=(uint64_t V1, const APInt& V2) {
1520
inline raw_ostream &operator<<(raw_ostream &OS, const APInt &I) {
1525
namespace APIntOps {
1527
/// @brief Determine the smaller of two APInts considered to be signed.
1528
inline APInt smin(const APInt &A, const APInt &B) {
1529
return A.slt(B) ? A : B;
1532
/// @brief Determine the larger of two APInts considered to be signed.
1533
inline APInt smax(const APInt &A, const APInt &B) {
1534
return A.sgt(B) ? A : B;
1537
/// @brief Determine the smaller of two APInts considered to be signed.
1538
inline APInt umin(const APInt &A, const APInt &B) {
1539
return A.ult(B) ? A : B;
1542
/// @brief Determine the larger of two APInts considered to be unsigned.
1543
inline APInt umax(const APInt &A, const APInt &B) {
1544
return A.ugt(B) ? A : B;
1547
/// @brief Check if the specified APInt has a N-bits unsigned integer value.
1548
inline bool isIntN(unsigned N, const APInt& APIVal) {
1549
return APIVal.isIntN(N);
1552
/// @brief Check if the specified APInt has a N-bits signed integer value.
1553
inline bool isSignedIntN(unsigned N, const APInt& APIVal) {
1554
return APIVal.isSignedIntN(N);
1557
/// @returns true if the argument APInt value is a sequence of ones
1558
/// starting at the least significant bit with the remainder zero.
1559
inline bool isMask(unsigned numBits, const APInt& APIVal) {
1560
return numBits <= APIVal.getBitWidth() &&
1561
APIVal == APInt::getLowBitsSet(APIVal.getBitWidth(), numBits);
1564
/// @returns true if the argument APInt value contains a sequence of ones
1565
/// with the remainder zero.
1566
inline bool isShiftedMask(unsigned numBits, const APInt& APIVal) {
1567
return isMask(numBits, (APIVal - APInt(numBits,1)) | APIVal);
1570
/// @returns a byte-swapped representation of the specified APInt Value.
1571
inline APInt byteSwap(const APInt& APIVal) {
1572
return APIVal.byteSwap();
1575
/// @returns the floor log base 2 of the specified APInt value.
1576
inline unsigned logBase2(const APInt& APIVal) {
1577
return APIVal.logBase2();
1580
/// GreatestCommonDivisor - This function returns the greatest common
1581
/// divisor of the two APInt values using Euclid's algorithm.
1582
/// @returns the greatest common divisor of Val1 and Val2
1583
/// @brief Compute GCD of two APInt values.
1584
APInt GreatestCommonDivisor(const APInt& Val1, const APInt& Val2);
1586
/// Treats the APInt as an unsigned value for conversion purposes.
1587
/// @brief Converts the given APInt to a double value.
1588
inline double RoundAPIntToDouble(const APInt& APIVal) {
1589
return APIVal.roundToDouble();
1592
/// Treats the APInt as a signed value for conversion purposes.
1593
/// @brief Converts the given APInt to a double value.
1594
inline double RoundSignedAPIntToDouble(const APInt& APIVal) {
1595
return APIVal.signedRoundToDouble();
1598
/// @brief Converts the given APInt to a float vlalue.
1599
inline float RoundAPIntToFloat(const APInt& APIVal) {
1600
return float(RoundAPIntToDouble(APIVal));
1603
/// Treast the APInt as a signed value for conversion purposes.
1604
/// @brief Converts the given APInt to a float value.
1605
inline float RoundSignedAPIntToFloat(const APInt& APIVal) {
1606
return float(APIVal.signedRoundToDouble());
1609
/// RoundDoubleToAPInt - This function convert a double value to an APInt value.
1610
/// @brief Converts the given double value into a APInt.
1611
APInt RoundDoubleToAPInt(double Double, unsigned width);
1613
/// RoundFloatToAPInt - Converts a float value into an APInt value.
1614
/// @brief Converts a float value into a APInt.
1615
inline APInt RoundFloatToAPInt(float Float, unsigned width) {
1616
return RoundDoubleToAPInt(double(Float), width);
1619
/// Arithmetic right-shift the APInt by shiftAmt.
1620
/// @brief Arithmetic right-shift function.
1621
inline APInt ashr(const APInt& LHS, unsigned shiftAmt) {
1622
return LHS.ashr(shiftAmt);
1625
/// Logical right-shift the APInt by shiftAmt.
1626
/// @brief Logical right-shift function.
1627
inline APInt lshr(const APInt& LHS, unsigned shiftAmt) {
1628
return LHS.lshr(shiftAmt);
1631
/// Left-shift the APInt by shiftAmt.
1632
/// @brief Left-shift function.
1633
inline APInt shl(const APInt& LHS, unsigned shiftAmt) {
1634
return LHS.shl(shiftAmt);
1637
/// Signed divide APInt LHS by APInt RHS.
1638
/// @brief Signed division function for APInt.
1639
inline APInt sdiv(const APInt& LHS, const APInt& RHS) {
1640
return LHS.sdiv(RHS);
1643
/// Unsigned divide APInt LHS by APInt RHS.
1644
/// @brief Unsigned division function for APInt.
1645
inline APInt udiv(const APInt& LHS, const APInt& RHS) {
1646
return LHS.udiv(RHS);
1649
/// Signed remainder operation on APInt.
1650
/// @brief Function for signed remainder operation.
1651
inline APInt srem(const APInt& LHS, const APInt& RHS) {
1652
return LHS.srem(RHS);
1655
/// Unsigned remainder operation on APInt.
1656
/// @brief Function for unsigned remainder operation.
1657
inline APInt urem(const APInt& LHS, const APInt& RHS) {
1658
return LHS.urem(RHS);
1661
/// Performs multiplication on APInt values.
1662
/// @brief Function for multiplication operation.
1663
inline APInt mul(const APInt& LHS, const APInt& RHS) {
1667
/// Performs addition on APInt values.
1668
/// @brief Function for addition operation.
1669
inline APInt add(const APInt& LHS, const APInt& RHS) {
1673
/// Performs subtraction on APInt values.
1674
/// @brief Function for subtraction operation.
1675
inline APInt sub(const APInt& LHS, const APInt& RHS) {
1679
/// Performs bitwise AND operation on APInt LHS and
1681
/// @brief Bitwise AND function for APInt.
1682
inline APInt And(const APInt& LHS, const APInt& RHS) {
1686
/// Performs bitwise OR operation on APInt LHS and APInt RHS.
1687
/// @brief Bitwise OR function for APInt.
1688
inline APInt Or(const APInt& LHS, const APInt& RHS) {
1692
/// Performs bitwise XOR operation on APInt.
1693
/// @brief Bitwise XOR function for APInt.
1694
inline APInt Xor(const APInt& LHS, const APInt& RHS) {
1698
/// Performs a bitwise complement operation on APInt.
1699
/// @brief Bitwise complement function.
1700
inline APInt Not(const APInt& APIVal) {
1704
} // End of APIntOps namespace
1706
} // End of llvm namespace