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655 lines
22 KiB
C++
655 lines
22 KiB
C++
//===-- llvm/Support/APInt.h - For Arbitrary Precision Integer -*- C++ -*--===//
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//
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// The LLVM Compiler Infrastructure
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//
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// This file was developed by Sheng Zhou and is distributed under the
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// University of Illinois Open Source License. See LICENSE.TXT for details.
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//
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//===----------------------------------------------------------------------===//
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//
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// This file implements a class to represent arbitrary precision integral
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// constant values.
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//
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//===----------------------------------------------------------------------===//
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#ifndef LLVM_APINT_H
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#define LLVM_APINT_H
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#include "llvm/Support/DataTypes.h"
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#include <cassert>
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#include <string>
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namespace llvm {
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/// Forward declaration.
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class APInt;
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namespace APIntOps {
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APInt udiv(const APInt& LHS, const APInt& RHS);
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APInt urem(const APInt& LHS, const APInt& RHS);
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}
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//===----------------------------------------------------------------------===//
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// APInt Class
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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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/// manipulation.
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///
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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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/// not.
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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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///
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/// @brief Class for arbitrary precision integers.
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class APInt {
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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;
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/// otherwise it uses the pVal.
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union {
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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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};
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/// This enum is just used to hold a constant we needed for APInt.
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enum {
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APINT_BITS_PER_WORD = sizeof(uint64_t) * 8
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};
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/// Here one word's bitwidth equals to that of uint64_t.
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/// @returns the number of words to hold the integer value of this APInt.
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/// @brief Get the number of words.
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inline unsigned getNumWords() const {
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return (BitWidth + APINT_BITS_PER_WORD - 1) / APINT_BITS_PER_WORD;
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}
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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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inline bool isSingleWord() const {
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return BitWidth <= APINT_BITS_PER_WORD;
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}
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/// @returns the word position for the specified bit position.
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static inline unsigned whichWord(unsigned bitPosition) {
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return bitPosition / APINT_BITS_PER_WORD;
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}
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/// @returns the byte position for the specified bit position.
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static inline unsigned whichByte(unsigned bitPosition) {
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return (bitPosition % APINT_BITS_PER_WORD) / 8;
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}
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/// @returns the bit position in a word for the specified bit position
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/// in APInt.
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static inline unsigned whichBit(unsigned bitPosition) {
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return bitPosition % APINT_BITS_PER_WORD;
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}
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/// @returns a uint64_t type integer with just bit position at
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/// "whichBit(bitPosition)" setting, others zero.
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static inline uint64_t maskBit(unsigned bitPosition) {
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return (static_cast<uint64_t>(1)) << whichBit(bitPosition);
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}
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/// This method is used internally to clear the to "N" bits that are not used
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/// by the APInt. This is needed after a word is assigned a value to ensure
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/// that those bits are zero'd out.
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/// @brief Clear high order bits
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inline void clearUnusedBits() {
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if (isSingleWord())
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VAL &= ~uint64_t(0ULL) >> (APINT_BITS_PER_WORD - BitWidth);
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else
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pVal[getNumWords() - 1] &= ~uint64_t(0ULL) >>
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(APINT_BITS_PER_WORD - (whichBit(BitWidth - 1) + 1));
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}
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/// @returns the corresponding word for the specified bit position.
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inline uint64_t& getWord(unsigned bitPosition) {
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return isSingleWord() ? VAL : pVal[whichWord(bitPosition)];
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}
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/// @returns the corresponding word for the specified bit position.
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/// This is a constant version.
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inline uint64_t getWord(unsigned bitPosition) const {
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return isSingleWord() ? VAL : pVal[whichWord(bitPosition)];
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}
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/// @brief Converts a char array into an integer.
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void fromString(unsigned numBits, const char *StrStart, unsigned slen,
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uint8_t radix);
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public:
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/// @brief Create a new APInt of numBits bit-width, and initialized as val.
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APInt(unsigned numBits, uint64_t val);
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/// @brief Create a new APInt of numBits bit-width, and initialized as
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/// bigVal[].
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APInt(unsigned numBits, unsigned numWords, uint64_t bigVal[]);
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/// @brief Create a new APInt by translating the string represented
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/// integer value.
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APInt(unsigned numBits, const std::string& Val, uint8_t radix);
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/// @brief Create a new APInt by translating the char array represented
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/// integer value.
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APInt(unsigned numBits, const char StrStart[], unsigned slen, uint8_t radix);
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/// @brief Copy Constructor.
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APInt(const APInt& API);
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/// @brief Destructor.
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~APInt();
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/// @brief Copy assignment operator.
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APInt& operator=(const APInt& RHS);
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/// Assigns an integer value to the APInt.
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/// @brief Assignment operator.
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APInt& operator=(uint64_t RHS);
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/// Increments the APInt by one.
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/// @brief Postfix increment operator.
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inline const APInt operator++(int) {
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APInt API(*this);
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++(*this);
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return API;
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}
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/// Increments the APInt by one.
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/// @brief Prefix increment operator.
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APInt& operator++();
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/// Decrements the APInt by one.
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/// @brief Postfix decrement operator.
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inline const APInt operator--(int) {
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APInt API(*this);
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--(*this);
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return API;
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}
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/// Decrements the APInt by one.
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/// @brief Prefix decrement operator.
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APInt& operator--();
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/// Performs bitwise AND operation on this APInt and the given APInt& RHS,
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/// assigns the result to this APInt.
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/// @brief Bitwise AND assignment operator.
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APInt& operator&=(const APInt& RHS);
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/// Performs bitwise OR operation on this APInt and the given APInt& RHS,
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/// assigns the result to this APInt.
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/// @brief Bitwise OR assignment operator.
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APInt& operator|=(const APInt& RHS);
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/// Performs bitwise XOR operation on this APInt and the given APInt& RHS,
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/// assigns the result to this APInt.
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/// @brief Bitwise XOR assignment operator.
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APInt& operator^=(const APInt& RHS);
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/// Performs a bitwise complement operation on this APInt.
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/// @brief Bitwise complement operator.
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APInt operator~() const;
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/// Multiplies this APInt by the given APInt& RHS and
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/// assigns the result to this APInt.
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/// @brief Multiplication assignment operator.
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APInt& operator*=(const APInt& RHS);
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/// Adds this APInt by the given APInt& RHS and
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/// assigns the result to this APInt.
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/// @brief Addition assignment operator.
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APInt& operator+=(const APInt& RHS);
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/// Subtracts this APInt by the given APInt &RHS and
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/// assigns the result to this APInt.
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/// @brief Subtraction assignment operator.
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APInt& operator-=(const APInt& RHS);
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/// Performs bitwise AND operation on this APInt and
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/// the given APInt& RHS.
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/// @brief Bitwise AND operator.
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APInt operator&(const APInt& RHS) const;
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/// Performs bitwise OR operation on this APInt and the given APInt& RHS.
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/// @brief Bitwise OR operator.
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APInt operator|(const APInt& RHS) const;
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/// Performs bitwise XOR operation on this APInt and the given APInt& RHS.
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/// @brief Bitwise XOR operator.
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APInt operator^(const APInt& RHS) const;
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/// Performs logical negation operation on this APInt.
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/// @brief Logical negation operator.
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bool operator !() const;
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/// Multiplies this APInt by the given APInt& RHS.
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/// @brief Multiplication operator.
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APInt operator*(const APInt& RHS) const;
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/// Adds this APInt by the given APInt& RHS.
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/// @brief Addition operator.
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APInt operator+(const APInt& RHS) const;
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/// Subtracts this APInt by the given APInt& RHS
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/// @brief Subtraction operator.
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APInt operator-(const APInt& RHS) const;
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/// @brief Unary negation operator
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inline APInt operator-() const {
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return APInt(BitWidth, 0) - (*this);
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}
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/// @brief Array-indexing support.
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bool operator[](unsigned bitPosition) const;
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/// Compare this APInt with the given APInt& RHS
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/// for the validity of the equality relationship.
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/// @brief Equality operator.
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bool operator==(const APInt& RHS) const;
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/// Compare this APInt with the given uint64_t value
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/// for the validity of the equality relationship.
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/// @brief Equality operator.
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bool operator==(uint64_t Val) const;
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/// Compare this APInt with the given APInt& RHS
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/// for the validity of the inequality relationship.
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/// @brief Inequality operator.
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inline bool operator!=(const APInt& RHS) const {
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return !((*this) == RHS);
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}
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/// Compare this APInt with the given uint64_t value
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/// for the validity of the inequality relationship.
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/// @brief Inequality operator.
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inline bool operator!=(uint64_t Val) const {
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return !((*this) == Val);
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}
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/// @brief Equality comparison
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bool eq(const APInt &RHS) const {
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return (*this) == RHS;
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}
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/// @brief Inequality comparison
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bool ne(const APInt &RHS) const {
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return !((*this) == RHS);
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}
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/// @brief Unsigned less than comparison
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bool ult(const APInt& RHS) const;
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/// @brief Signed less than comparison
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bool slt(const APInt& RHS) const;
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/// @brief Unsigned less or equal comparison
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bool ule(const APInt& RHS) const {
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return ult(RHS) || eq(RHS);
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}
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/// @brief Signed less or equal comparison
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bool sle(const APInt& RHS) const {
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return slt(RHS) || eq(RHS);
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}
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/// @brief Unsigned greather than comparison
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bool ugt(const APInt& RHS) const {
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return !ult(RHS) && !eq(RHS);
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}
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/// @brief Signed greather than comparison
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bool sgt(const APInt& RHS) const {
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return !slt(RHS) && !eq(RHS);
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}
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/// @brief Unsigned greater or equal comparison
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bool uge(const APInt& RHS) const {
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return !ult(RHS);
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}
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/// @brief Signed greather or equal comparison
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bool sge(const APInt& RHS) const {
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return !slt(RHS);
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}
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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;
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/// Logical right-shift this APInt by shiftAmt.
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/// @brief Logical right-shift function.
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APInt lshr(unsigned shiftAmt) const;
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/// Left-shift this APInt by shiftAmt.
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/// @brief Left-shift function.
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APInt shl(unsigned shiftAmt) const;
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/// Signed divide this APInt by APInt RHS.
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/// @brief Signed division function for APInt.
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inline APInt sdiv(const APInt& RHS) const {
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bool isNegativeLHS = (*this)[BitWidth - 1];
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bool isNegativeRHS = RHS[RHS.BitWidth - 1];
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APInt API = APIntOps::udiv(
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isNegativeLHS ? -(*this) : (*this), isNegativeRHS ? -RHS : RHS);
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return isNegativeLHS != isNegativeRHS ? -API : API;;
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}
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/// Unsigned divide this APInt by APInt RHS.
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/// @brief Unsigned division function for APInt.
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APInt udiv(const APInt& RHS) const;
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/// Signed remainder operation on APInt.
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/// @brief Function for signed remainder operation.
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inline APInt srem(const APInt& RHS) const {
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bool isNegativeLHS = (*this)[BitWidth - 1];
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bool isNegativeRHS = RHS[RHS.BitWidth - 1];
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APInt API = APIntOps::urem(
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isNegativeLHS ? -(*this) : (*this), isNegativeRHS ? -RHS : RHS);
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return isNegativeLHS ? -API : API;
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}
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/// Unsigned remainder operation on APInt.
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/// @brief Function for unsigned remainder operation.
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APInt urem(const APInt& RHS) const;
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/// Truncate the APInt to a specified width. It is an error to specify a width
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/// that is greater than or equal to the current width.
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/// @brief Truncate to new width.
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void trunc(unsigned width);
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/// This operation sign extends the APInt to a new width. If the high order
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/// bit is set, the fill on the left will be done with 1 bits, otherwise zero.
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/// It is an error to specify a width that is less than or equal to the
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/// current width.
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/// @brief Sign extend to a new width.
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void sext(unsigned width);
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/// This operation zero extends the APInt to a new width. Thie high order bits
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/// are filled with 0 bits. It is an error to specify a width that is less
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/// than or equal to the current width.
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/// @brief Zero extend to a new width.
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void zext(unsigned width);
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/// @brief Set every bit to 1.
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APInt& set();
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/// Set the given bit to 1 whose position is given as "bitPosition".
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/// @brief Set a given bit to 1.
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APInt& set(unsigned bitPosition);
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/// @brief Set every bit to 0.
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APInt& clear();
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/// Set the given bit to 0 whose position is given as "bitPosition".
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/// @brief Set a given bit to 0.
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APInt& clear(unsigned bitPosition);
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/// @brief Toggle every bit to its opposite value.
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APInt& flip();
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/// Toggle a given bit to its opposite value whose position is given
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/// as "bitPosition".
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/// @brief Toggles a given bit to its opposite value.
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APInt& flip(unsigned bitPosition);
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/// This function returns the number of active bits which is defined as the
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/// bit width minus the number of leading zeros. This is used in several
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/// computations to see how "wide" the value is.
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/// @brief Compute the number of active bits in the value
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inline unsigned getActiveBits() const {
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return getNumWords() * APINT_BITS_PER_WORD - countLeadingZeros();
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}
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/// @returns a uint64_t value from this APInt. If this APInt contains a single
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/// word, just returns VAL, otherwise pVal[0].
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inline uint64_t getValue(bool isSigned = false) const {
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if (isSingleWord())
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return isSigned ? int64_t(VAL << (64 - BitWidth)) >>
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(64 - BitWidth) : VAL;
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unsigned n = getActiveBits();
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if (n <= 64)
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return pVal[0];
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assert(0 && "This APInt's bitwidth > 64");
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}
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/// @returns the largest value for an APInt of the specified bit-width and
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/// if isSign == true, it should be largest signed value, otherwise largest
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/// unsigned value.
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/// @brief Gets max value of the APInt with bitwidth <= 64.
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static APInt getMaxValue(unsigned numBits, bool isSign);
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/// @returns the smallest value for an APInt of the given bit-width and
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/// if isSign == true, it should be smallest signed value, otherwise zero.
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/// @brief Gets min value of the APInt with bitwidth <= 64.
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static APInt getMinValue(unsigned numBits, bool isSign);
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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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/// @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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/// This converts the APInt to a boolean valy as a test against zero.
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/// @brief Boolean conversion function.
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inline bool getBoolValue() const {
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return countLeadingZeros() != BitWidth;
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}
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/// @returns a character interpretation of the APInt.
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std::string toString(uint8_t radix = 10) const;
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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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/// the high bits.
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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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/// @returns true if the argument APInt value is a power of two > 0.
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bool isPowerOf2() const;
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/// @returns the number of zeros from the most significant bit to the first
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/// one bits.
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unsigned countLeadingZeros() const;
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/// @returns the number of zeros from the least significant bit to the first
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/// one bit.
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unsigned countTrailingZeros() const;
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/// @returns the number of set bits.
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unsigned countPopulation() const;
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/// @returns the total number of bits.
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inline unsigned getBitWidth() const {
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return BitWidth;
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}
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/// @brief Check if this APInt has a N-bits integer value.
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inline bool isIntN(unsigned N) const {
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assert(N && "N == 0 ???");
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if (isSingleWord()) {
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return VAL == (VAL & (~0ULL >> (64 - N)));
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} else {
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APInt Tmp(N, getNumWords(), pVal);
|
|
return Tmp == (*this);
|
|
}
|
|
}
|
|
|
|
/// @returns a byte-swapped representation of this APInt Value.
|
|
APInt byteSwap() const;
|
|
|
|
/// @returns the floor log base 2 of this APInt.
|
|
inline unsigned logBase2() const {
|
|
return getNumWords() * APINT_BITS_PER_WORD - 1 - countLeadingZeros();
|
|
}
|
|
|
|
/// @brief Converts this APInt to a double value.
|
|
double roundToDouble(bool isSigned = false) const;
|
|
|
|
};
|
|
|
|
namespace APIntOps {
|
|
|
|
/// @brief Check if the specified APInt has a N-bits integer value.
|
|
inline bool isIntN(unsigned N, const APInt& APIVal) {
|
|
return APIVal.isIntN(N);
|
|
}
|
|
|
|
/// @returns true if the argument APInt value is a sequence of ones
|
|
/// starting at the least significant bit with the remainder zero.
|
|
inline const bool isMask(unsigned numBits, const APInt& APIVal) {
|
|
return APIVal.getBoolValue() && ((APIVal + APInt(numBits,1)) & APIVal) == 0;
|
|
}
|
|
|
|
/// @returns true if the argument APInt value contains a sequence of ones
|
|
/// with the remainder zero.
|
|
inline const bool isShiftedMask(unsigned numBits, const APInt& APIVal) {
|
|
return isMask(numBits, (APIVal - APInt(numBits,1)) | APIVal);
|
|
}
|
|
|
|
/// @returns a byte-swapped representation of the specified APInt Value.
|
|
inline APInt byteSwap(const APInt& APIVal) {
|
|
return APIVal.byteSwap();
|
|
}
|
|
|
|
/// @returns the floor log base 2 of the specified APInt value.
|
|
inline unsigned logBase2(const APInt& APIVal) {
|
|
return APIVal.logBase2();
|
|
}
|
|
|
|
/// @returns the greatest common divisor of the two values
|
|
/// using Euclid's algorithm.
|
|
APInt GreatestCommonDivisor(const APInt& API1, const APInt& API2);
|
|
|
|
/// @brief Converts the given APInt to a double value.
|
|
inline double RoundAPIntToDouble(const APInt& APIVal, bool isSigned = false) {
|
|
return APIVal.roundToDouble(isSigned);
|
|
}
|
|
|
|
/// @brief Converts the given APInt to a float vlalue.
|
|
inline float RoundAPIntToFloat(const APInt& APIVal) {
|
|
return float(RoundAPIntToDouble(APIVal));
|
|
}
|
|
|
|
/// @brief Converts the given double value into a APInt.
|
|
APInt RoundDoubleToAPInt(double Double);
|
|
|
|
/// @brief Converts the given float value into a APInt.
|
|
inline APInt RoundFloatToAPInt(float Float) {
|
|
return RoundDoubleToAPInt(double(Float));
|
|
}
|
|
|
|
/// Arithmetic right-shift the APInt by shiftAmt.
|
|
/// @brief Arithmetic right-shift function.
|
|
inline APInt ashr(const APInt& LHS, unsigned shiftAmt) {
|
|
return LHS.ashr(shiftAmt);
|
|
}
|
|
|
|
/// Logical right-shift the APInt by shiftAmt.
|
|
/// @brief Logical right-shift function.
|
|
inline APInt lshr(const APInt& LHS, unsigned shiftAmt) {
|
|
return LHS.lshr(shiftAmt);
|
|
}
|
|
|
|
/// Left-shift the APInt by shiftAmt.
|
|
/// @brief Left-shift function.
|
|
inline APInt shl(const APInt& LHS, unsigned shiftAmt) {
|
|
return LHS.shl(shiftAmt);
|
|
}
|
|
|
|
/// Signed divide APInt LHS by APInt RHS.
|
|
/// @brief Signed division function for APInt.
|
|
inline APInt sdiv(const APInt& LHS, const APInt& RHS) {
|
|
return LHS.sdiv(RHS);
|
|
}
|
|
|
|
/// Unsigned divide APInt LHS by APInt RHS.
|
|
/// @brief Unsigned division function for APInt.
|
|
inline APInt udiv(const APInt& LHS, const APInt& RHS) {
|
|
return LHS.udiv(RHS);
|
|
}
|
|
|
|
/// Signed remainder operation on APInt.
|
|
/// @brief Function for signed remainder operation.
|
|
inline APInt srem(const APInt& LHS, const APInt& RHS) {
|
|
return LHS.srem(RHS);
|
|
}
|
|
|
|
/// Unsigned remainder operation on APInt.
|
|
/// @brief Function for unsigned remainder operation.
|
|
inline APInt urem(const APInt& LHS, const APInt& RHS) {
|
|
return LHS.urem(RHS);
|
|
}
|
|
|
|
/// Performs multiplication on APInt values.
|
|
/// @brief Function for multiplication operation.
|
|
inline APInt mul(const APInt& LHS, const APInt& RHS) {
|
|
return LHS * RHS;
|
|
}
|
|
|
|
/// Performs addition on APInt values.
|
|
/// @brief Function for addition operation.
|
|
inline APInt add(const APInt& LHS, const APInt& RHS) {
|
|
return LHS + RHS;
|
|
}
|
|
|
|
/// Performs subtraction on APInt values.
|
|
/// @brief Function for subtraction operation.
|
|
inline APInt sub(const APInt& LHS, const APInt& RHS) {
|
|
return LHS - RHS;
|
|
}
|
|
|
|
/// Performs bitwise AND operation on APInt LHS and
|
|
/// APInt RHS.
|
|
/// @brief Bitwise AND function for APInt.
|
|
inline APInt And(const APInt& LHS, const APInt& RHS) {
|
|
return LHS & RHS;
|
|
}
|
|
|
|
/// Performs bitwise OR operation on APInt LHS and APInt RHS.
|
|
/// @brief Bitwise OR function for APInt.
|
|
inline APInt Or(const APInt& LHS, const APInt& RHS) {
|
|
return LHS | RHS;
|
|
}
|
|
|
|
/// Performs bitwise XOR operation on APInt.
|
|
/// @brief Bitwise XOR function for APInt.
|
|
inline APInt Xor(const APInt& LHS, const APInt& RHS) {
|
|
return LHS ^ RHS;
|
|
}
|
|
|
|
/// Performs a bitwise complement operation on APInt.
|
|
/// @brief Bitwise complement function.
|
|
inline APInt Not(const APInt& APIVal) {
|
|
return ~APIVal;
|
|
}
|
|
|
|
} // End of APIntOps namespace
|
|
|
|
} // End of llvm namespace
|
|
|
|
#endif
|