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490 lines
18 KiB
C
490 lines
18 KiB
C
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//===-- 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 <string>
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namespace llvm {
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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 type 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 not
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/// only all the operations of uint64_t but also bitwise manipulation.
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///
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/// @brief Class for arbitrary precision integers.
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///
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class APInt {
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/// Friend Functions of APInt Declared here. For detailed comments,
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/// see bottom of this file.
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friend bool isIntN(unsigned N, const APInt& APIVal);
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friend APInt ByteSwap(const APInt& APIVal);
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friend APInt LogBase2(const APInt& APIVal);
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friend double APIntToDouble(const APInt& APIVal);
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friend float APIntToFloat(const APInt& APIVal);
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unsigned bitsnum; ///< The number of bits.
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bool isSigned; ///< The sign flag for 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 is used as an uint64_t;
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/// otherwise it uses an uint64_t array.
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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 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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/// @returns the number of words to hold the integer value of this APInt.
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/// Here one word's bitwidth equals to that of uint64_t.
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/// @brief Get the number of the words.
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inline unsigned numWords() const {
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return bitsnum < 1 ? 0 : (bitsnum + APINT_BITS_PER_WORD - 1) /
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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 bitsnum <= APINT_BITS_PER_WORD; }
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/// @returns the word position for the specified bit position.
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/// Note: the bitPosition and the return value are zero-based.
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static inline unsigned whichWord(unsigned bitPosition)
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{ return bitPosition / APINT_BITS_PER_WORD; }
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/// @returns the byte position for the specified bit position.
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/// Note: the bitPosition and the return value are zero-based.
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static inline unsigned whichByte(unsigned bitPosition);
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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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/// Note: the bitPosition and the return value are zero-based.
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static inline unsigned whichBit(unsigned bitPosition)
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{ return bitPosition % APINT_BITS_PER_WORD; }
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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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/// Note: the bitPosition and the return value are zero-based.
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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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inline void TruncToBits() {
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if (isSingleWord())
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VAL &= ~uint64_t(0ULL) >> (APINT_BITS_PER_WORD - bitsnum);
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else
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pVal[numWords() - 1] &= ~uint64_t(0ULL) >>
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(APINT_BITS_PER_WORD - (whichBit(bitsnum - 1) + 1));
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}
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/// @returns the corresponding word for the specified bit position.
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/// Note: the bitPosition is zero-based.
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inline uint64_t& getWord(unsigned bitPosition);
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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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/// Note: the bitPosition is zero-based.
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inline uint64_t getWord(unsigned bitPosition) const;
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/// mul_1 - This function performs the multiplication operation on a
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/// large integer (represented as a integer array) and a uint64_t integer.
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/// @returns the carry of the multiplication.
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static uint64_t mul_1(uint64_t dest[], uint64_t x[],
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unsigned len, uint64_t y);
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/// mul - This function performs the multiplication operation on two large
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/// integers (represented as integer arrays).
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static void mul(uint64_t dest[], uint64_t x[], unsigned xlen,
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uint64_t y[], unsigned ylen);
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/// add_1 - This function performs the addition operation on a large integer
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/// and a uint64_t integer.
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/// @returns the carry of the addtion.
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static uint64_t add_1(uint64_t dest[], uint64_t x[],
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unsigned len, uint64_t y);
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/// add - This function performs the addtion operation on two large integers.
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static uint64_t add(uint64_t dest[], uint64_t x[],
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uint64_t y[], unsigned len);
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/// sub_1 - This function performs the subtraction operation on a large
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/// integer and a uint64_t integer.
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static uint64_t sub_1(uint64_t x[], unsigned len, uint64_t y);
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/// sub - This function performs the subtraction operation on two large
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/// integers.
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static uint64_t sub(uint64_t dest[], uint64_t x[],
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uint64_t y[], unsigned len);
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/// unitDiv - This function divides uint64_t N by unsigned D.
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/// @returns (remainder << 32) + quotient.
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/// @assumes (N >> 32) < D.
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static uint64_t unitDiv(uint64_t N, unsigned D);
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/// subMul - This function subtract x[len-1 : 0] * y from
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/// dest[offset+len-1 : offset].
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/// @returns the most significant word of the product, minus borrow-out from
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/// the subtraction.
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static unsigned subMul(unsigned dest[], unsigned offset,
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unsigned x[], unsigned len, unsigned y);
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/// div - This function divides the large integer zds[] by y[].
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/// The remainder ends up in zds[ny-1 : 0].
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/// The quotient ends up in zds[ny : nx].
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/// @assumes nx > ny and (int)y[ny-1] < 0.
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static void div(unsigned zds[], unsigned nx, unsigned y[], unsigned ny);
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/// lshift - This function shifts x[len-1 : 0] by shiftAmt, and store the
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/// "len" least significant words of the result in
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/// dest[d_offset+len-1 : d_offset].
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/// @returns the bits shifted out from the most significant digit.
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static uint64_t lshift(uint64_t dest[], unsigned d_offset,
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uint64_t x[], unsigned len, unsigned shiftAmt);
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public:
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/// Create a new APInt of numBits bit-width, and initalized as val.
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APInt(uint64_t val = 0, unsigned numBits = APINT_BITS_PER_WORD,
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bool sign = false);
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/// Create a new APInt of numBits bit-width, and initalized as bigVal[].
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APInt(unsigned numBits, uint64_t bigVal[], bool sign = false);
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/// Create a new APInt by translating the string represented integer value.
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APInt(std::string& Val, uint8_t radix = 10, bool sign = false);
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/// Copy Constructor.
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APInt(const APInt& API);
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/// Destructor.
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~APInt();
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/// @brief Copy assignment operator. Create a new object from the given
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/// APInt one by initialization.
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APInt& operator=(const APInt& RHS);
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/// @brief Assignment operator. Assigns a common case integer value to
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/// the APInt.
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APInt& operator=(uint64_t RHS);
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/// @brief Postfix increment operator. Increments the APInt by one.
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const APInt operator++(int);
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/// @brief Prefix increment operator. Increments the APInt by one.
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APInt& operator++();
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/// @brief Postfix decrement operator. Decrements the APInt by one.
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const APInt operator--(int);
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/// @brief Prefix decrement operator. Decrements the APInt by one.
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APInt& operator--();
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/// @brief Bitwise AND assignment operator. Performs bitwise AND operation on
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/// this APInt and the given APInt& RHS, assigns the result to this APInt.
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APInt& operator&=(const APInt& RHS);
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/// @brief Bitwise OR assignment operator. Performs bitwise OR operation on
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/// this APInt and the given APInt& RHS, assigns the result to this APInt.
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APInt& operator|=(const APInt& RHS);
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/// @brief Bitwise XOR assignment operator. Performs bitwise XOR operation on
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/// this APInt and the given APInt& RHS, assigns the result to this APInt.
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APInt& operator^=(const APInt& RHS);
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/// @brief Left-shift assignment operator. Left-shift the APInt by shiftAmt
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/// and assigns the result to this APInt.
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APInt& operator<<=(unsigned shiftAmt);
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/// @brief Right-shift assignment operator. Right-shift the APInt by shiftAmt
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/// and assigns the result to this APInt.
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APInt& operator>>=(unsigned shiftAmt);
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/// @brief Bitwise complement operator. Performs a bitwise complement
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/// operation on this APInt.
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APInt operator~() const;
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/// @brief Multiplication assignment operator. Multiplies this APInt by the
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/// given APInt& RHS and assigns the result to this APInt.
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APInt& operator*=(const APInt& RHS);
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/// @brief Division assignment operator. Divides this APInt by the given APInt
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/// &RHS and assigns the result to this APInt.
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APInt& operator/=(const APInt& RHS);
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/// @brief Addition assignment operator. Adds this APInt by the given APInt&
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/// RHS and assigns the result to this APInt.
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APInt& operator+=(const APInt& RHS);
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/// @brief Subtraction assignment operator. Subtracts this APInt by the given
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/// APInt &RHS and assigns the result to this APInt.
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APInt& operator-=(const APInt& RHS);
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/// @brief Remainder assignment operator. Yields the remainder from the
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/// division of this APInt by the given APInt& RHS and assigns the remainder
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/// to this APInt.
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APInt& operator%=(const APInt& RHS);
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/// @brief Bitwise AND operator. Performs bitwise AND operation on this APInt
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/// and the given APInt& RHS.
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APInt operator&(const APInt& RHS) const;
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/// @brief Bitwise OR operator. Performs bitwise OR operation on this APInt
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/// and the given APInt& RHS.
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APInt operator|(const APInt& RHS) const;
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/// @brief Bitwise XOR operator. Performs bitwise XOR operation on this APInt
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/// and the given APInt& RHS.
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APInt operator^(const APInt& RHS) const;
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/// @brief Logical AND operator. Performs logical AND operation on this APInt
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/// and the given APInt& RHS.
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bool operator&&(const APInt& RHS) const;
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/// @brief Logical OR operator. Performs logical OR operation on this APInt
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/// and the given APInt& RHS.
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bool operator||(const APInt& RHS) const;
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/// @brief Logical negation operator. Performs logical negation operation on
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/// this APInt.
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bool operator !() const;
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/// @brief Multiplication operator. Multiplies this APInt by the given APInt&
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/// RHS.
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APInt operator*(const APInt& RHS) const;
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/// @brief Division operator. Divides this APInt by the given APInt& RHS.
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APInt operator/(const APInt& RHS) const;
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/// @brief Remainder operator. Yields the remainder from the division of this
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/// APInt and the given APInt& RHS.
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APInt operator%(const APInt& RHS) const;
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/// @brief Addition operator. Adds this APInt by the given APInt& RHS.
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APInt operator+(const APInt& RHS) const;
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/// @brief Subtraction operator. Subtracts this APInt by the given APInt& RHS
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APInt operator-(const APInt& RHS) const;
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/// @brief Left-shift operator. Left-shift the APInt by shiftAmt.
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APInt operator<<(unsigned shiftAmt) const;
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/// @brief Right-shift operator. Right-shift the APInt by shiftAmt.
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APInt operator>>(unsigned shiftAmt) const;
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/// @brief Array-indexing support.
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bool operator[](unsigned bitPosition) const;
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/// @brief Equality operator. Compare this APInt with the given APInt& RHS
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/// for the validity of the equality relationship.
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bool operator==(const APInt& RHS) const;
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/// @brief Inequality operator. Compare this APInt with the given APInt& RHS
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/// for the validity of the inequality relationship.
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bool operator!=(const APInt& RHS) const;
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/// @brief Less-than operator. Compare this APInt with the given APInt& RHS
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/// for the validity of the less-than relationship.
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bool operator <(const APInt& RHS) const;
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/// @brief Less-than-or-equal operator. Compare this APInt with the given
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/// APInt& RHS for the validity of the less-than-or-equal relationship.
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bool operator<=(const APInt& RHS) const;
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/// @brief Greater-than operator. Compare this APInt with the given APInt& RHS
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/// for the validity of the greater-than relationship.
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bool operator> (const APInt& RHS) const;
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/// @brief Greater-than-or-equal operator. Compare this APInt with the given
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/// APInt& RHS for the validity of the greater-than-or-equal relationship.
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bool operator>=(const APInt& RHS) const;
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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() {
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if (isSingleWord())
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return isSigned ? ((int64_t(VAL) << (APINT_BITS_PER_WORD - bitsnum)) >>
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(APINT_BITS_PER_WORD - bitsnum)) :
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VAL;
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else
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return pVal[0];
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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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/// @brief Set every bit to 1.
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APInt& set();
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/// Set the given bit to 1 whose poition 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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/// @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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/// @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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/// @returns a character interpretation of the APInt.
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std::string to_string(uint8_t radix = 10) const;
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/// @returns the high "numBits" bits of this APInt.
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APInt HiBits(unsigned numBits) const;
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/// @returns the low "numBits" bits of this APInt.
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APInt LoBits(unsigned numBits) const;
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/// @returns true if the argument APInt value is a power of two > 0.
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inline const bool isPowerOf2() const {
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return *this && !(*this & (*this - 1));
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}
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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;
|
||
|
|
||
|
/// @returns the total number of bits.
|
||
|
inline unsigned getNumBits() const
|
||
|
{ return bitsnum; }
|
||
|
|
||
|
};
|
||
|
|
||
|
/// @brief Check if the specified APInt has a N-bits integer value.
|
||
|
inline bool isIntN(unsigned N, const APInt& APIVal) {
|
||
|
if (APIVal.isSingleWord()) {
|
||
|
APInt Tmp(N, APIVal.VAL);
|
||
|
return Tmp == APIVal;
|
||
|
} else {
|
||
|
APInt Tmp(N, APIVal.pVal);
|
||
|
return Tmp == APIVal;
|
||
|
}
|
||
|
}
|
||
|
|
||
|
/// @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 && ((APIVal + 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 - 1) | APIVal);
|
||
|
}
|
||
|
|
||
|
/// @returns a byte-swapped representation of the specified APInt Value.
|
||
|
APInt ByteSwap(const APInt& APIVal);
|
||
|
|
||
|
/// @returns the floor log base 2 of the specified APInt value.
|
||
|
inline APInt LogBase2(const APInt& APIVal) {
|
||
|
return APIVal.numWords() * APInt::APINT_BITS_PER_WORD -
|
||
|
APIVal.CountLeadingZeros();
|
||
|
}
|
||
|
|
||
|
/// @returns the greatest common divisor of the two values
|
||
|
/// using Euclid's algorithm.
|
||
|
APInt GreatestCommonDivisor(const APInt& API1, const APInt& API2);
|
||
|
|
||
|
/// @returns the bit equivalent double.
|
||
|
/// If the APInt numBits > 64, truncated first and then convert to double.
|
||
|
inline double APIntToDouble(const APInt& APIVal) {
|
||
|
uint64_t value = APIVal.isSingleWord() ? APIVal.VAL : APIVal.pVal[0];
|
||
|
union {
|
||
|
uint64_t I;
|
||
|
double D;
|
||
|
} T;
|
||
|
T.I = value;
|
||
|
return T.D;
|
||
|
}
|
||
|
|
||
|
/// @returns the bit equivalent float.
|
||
|
/// If the APInt numBits > 32, truncated first and then convert to double.
|
||
|
inline float APIntToFloat(const APInt& APIVal) {
|
||
|
unsigned value = APIVal.isSingleWord() ? APIVal.VAL : APIVal.pVal[0];
|
||
|
union {
|
||
|
unsigned I;
|
||
|
float F;
|
||
|
} T;
|
||
|
T.I = value;
|
||
|
return T.F;
|
||
|
}
|
||
|
|
||
|
/// @returns the bit equivalent APInt.
|
||
|
inline APInt DoubleToAPInt(double Double) {
|
||
|
union {
|
||
|
uint64_t L;
|
||
|
double D;
|
||
|
} T;
|
||
|
T.D = Double;
|
||
|
return APInt(T.L);
|
||
|
}
|
||
|
|
||
|
/// @returns the bit equivalent APInt.
|
||
|
inline APInt FloatToAPInt(float Float) {
|
||
|
union {
|
||
|
uint32_t I;
|
||
|
float F;
|
||
|
} T;
|
||
|
T.F = Float;
|
||
|
return APInt(uint64_t(T.I));
|
||
|
}
|
||
|
|
||
|
} // End of llvm namespace
|
||
|
|
||
|
#endif
|