Add a class APInt to represent arbitrary precision constant integral values.

It is a functional replacement for common case integer type like "unsigned",
"uint64_t", but also allows non-byte-width integer type and large integer
value types such as 3-bits, 15-bits, or more than 64-bits of precision. For
more details, see pr1043.


git-svn-id: https://llvm.org/svn/llvm-project/llvm/trunk@33913 91177308-0d34-0410-b5e6-96231b3b80d8
This commit is contained in:
Zhou Sheng 2007-02-05 17:29:16 +00:00
parent a9720f5051
commit d0f285e212

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include/llvm/ADT/APInt.h Normal file
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//===-- llvm/Support/APInt.h - For Arbitrary Precision Integer -*- C++ -*--===//
//
// The LLVM Compiler Infrastructure
//
// This file was developed by Sheng Zhou and is distributed under the
// University of Illinois Open Source License. See LICENSE.TXT for details.
//
//===----------------------------------------------------------------------===//
//
// This file implements a class to represent arbitrary precision integral
// constant values.
//
//===----------------------------------------------------------------------===//
#ifndef LLVM_APINT_H
#define LLVM_APINT_H
#include "llvm/Support/DataTypes.h"
#include <string>
namespace llvm {
//===----------------------------------------------------------------------===//
// APInt Class
//===----------------------------------------------------------------------===//
/// APInt - This class represents arbitrary precision constant integral values.
/// It is a functional replacement for common case unsigned integer type like
/// "unsigned", "unsigned long" or "uint64_t", but also allows non-byte-width
/// integer type and large integer value types such as 3-bits, 15-bits, or more
/// than 64-bits of precision. APInt provides a variety of arithmetic operators
/// and methods to manipulate integer values of any bit-width. It supports not
/// only all the operations of uint64_t but also bitwise manipulation.
///
/// @brief Class for arbitrary precision integers.
///
class APInt {
/// Friend Functions of APInt Declared here. For detailed comments,
/// see bottom of this file.
friend bool isIntN(unsigned N, const APInt& APIVal);
friend APInt ByteSwap(const APInt& APIVal);
friend APInt LogBase2(const APInt& APIVal);
friend double APIntToDouble(const APInt& APIVal);
friend float APIntToFloat(const APInt& APIVal);
unsigned bitsnum; ///< The number of bits.
bool isSigned; ///< The sign flag for this APInt.
/// This union is used to store the integer value. When the
/// integer bit-width <= 64, it is used as an uint64_t;
/// otherwise it uses an uint64_t array.
union {
uint64_t VAL; ///< Used to store the <= 64 bits integer value.
uint64_t *pVal; ///< Used to store the >64 bits integer value.
};
/// This enum is just used to hold constant we needed for APInt.
enum {
APINT_BITS_PER_WORD = sizeof(uint64_t) * 8
};
/// @returns the number of words to hold the integer value of this APInt.
/// Here one word's bitwidth equals to that of uint64_t.
/// @brief Get the number of the words.
inline unsigned numWords() const {
return bitsnum < 1 ? 0 : (bitsnum + APINT_BITS_PER_WORD - 1) /
APINT_BITS_PER_WORD;
}
/// @returns true if the number of bits <= 64, false otherwise.
/// @brief Determine if this APInt just has one word to store value.
inline bool isSingleWord() const
{ return bitsnum <= APINT_BITS_PER_WORD; }
/// @returns the word position for the specified bit position.
/// Note: the bitPosition and the return value are zero-based.
static inline unsigned whichWord(unsigned bitPosition)
{ return bitPosition / APINT_BITS_PER_WORD; }
/// @returns the byte position for the specified bit position.
/// Note: the bitPosition and the return value are zero-based.
static inline unsigned whichByte(unsigned bitPosition);
/// @returns the bit position in a word for the specified bit position
/// in APInt.
/// Note: the bitPosition and the return value are zero-based.
static inline unsigned whichBit(unsigned bitPosition)
{ return bitPosition % APINT_BITS_PER_WORD; }
/// @returns a uint64_t type integer with just bit position at
/// "whichBit(bitPosition)" setting, others zero.
/// Note: the bitPosition and the return value are zero-based.
static inline uint64_t maskBit(unsigned bitPosition)
{ return (static_cast<uint64_t>(1)) << whichBit(bitPosition); }
inline void TruncToBits() {
if (isSingleWord())
VAL &= ~uint64_t(0ULL) >> (APINT_BITS_PER_WORD - bitsnum);
else
pVal[numWords() - 1] &= ~uint64_t(0ULL) >>
(APINT_BITS_PER_WORD - (whichBit(bitsnum - 1) + 1));
}
/// @returns the corresponding word for the specified bit position.
/// Note: the bitPosition is zero-based.
inline uint64_t& getWord(unsigned bitPosition);
/// @returns the corresponding word for the specified bit position.
/// This is a constant version.
/// Note: the bitPosition is zero-based.
inline uint64_t getWord(unsigned bitPosition) const;
/// mul_1 - This function performs the multiplication operation on a
/// large integer (represented as a integer array) and a uint64_t integer.
/// @returns the carry of the multiplication.
static uint64_t mul_1(uint64_t dest[], uint64_t x[],
unsigned len, uint64_t y);
/// mul - This function performs the multiplication operation on two large
/// integers (represented as integer arrays).
static void mul(uint64_t dest[], uint64_t x[], unsigned xlen,
uint64_t y[], unsigned ylen);
/// add_1 - This function performs the addition operation on a large integer
/// and a uint64_t integer.
/// @returns the carry of the addtion.
static uint64_t add_1(uint64_t dest[], uint64_t x[],
unsigned len, uint64_t y);
/// add - This function performs the addtion operation on two large integers.
static uint64_t add(uint64_t dest[], uint64_t x[],
uint64_t y[], unsigned len);
/// sub_1 - This function performs the subtraction operation on a large
/// integer and a uint64_t integer.
static uint64_t sub_1(uint64_t x[], unsigned len, uint64_t y);
/// sub - This function performs the subtraction operation on two large
/// integers.
static uint64_t sub(uint64_t dest[], uint64_t x[],
uint64_t y[], unsigned len);
/// unitDiv - This function divides uint64_t N by unsigned D.
/// @returns (remainder << 32) + quotient.
/// @assumes (N >> 32) < D.
static uint64_t unitDiv(uint64_t N, unsigned D);
/// subMul - This function subtract x[len-1 : 0] * y from
/// dest[offset+len-1 : offset].
/// @returns the most significant word of the product, minus borrow-out from
/// the subtraction.
static unsigned subMul(unsigned dest[], unsigned offset,
unsigned x[], unsigned len, unsigned y);
/// div - This function divides the large integer zds[] by y[].
/// The remainder ends up in zds[ny-1 : 0].
/// The quotient ends up in zds[ny : nx].
/// @assumes nx > ny and (int)y[ny-1] < 0.
static void div(unsigned zds[], unsigned nx, unsigned y[], unsigned ny);
/// lshift - This function shifts x[len-1 : 0] by shiftAmt, and store the
/// "len" least significant words of the result in
/// dest[d_offset+len-1 : d_offset].
/// @returns the bits shifted out from the most significant digit.
static uint64_t lshift(uint64_t dest[], unsigned d_offset,
uint64_t x[], unsigned len, unsigned shiftAmt);
public:
/// Create a new APInt of numBits bit-width, and initalized as val.
APInt(uint64_t val = 0, unsigned numBits = APINT_BITS_PER_WORD,
bool sign = false);
/// Create a new APInt of numBits bit-width, and initalized as bigVal[].
APInt(unsigned numBits, uint64_t bigVal[], bool sign = false);
/// Create a new APInt by translating the string represented integer value.
APInt(std::string& Val, uint8_t radix = 10, bool sign = false);
/// Copy Constructor.
APInt(const APInt& API);
/// Destructor.
~APInt();
/// @brief Copy assignment operator. Create a new object from the given
/// APInt one by initialization.
APInt& operator=(const APInt& RHS);
/// @brief Assignment operator. Assigns a common case integer value to
/// the APInt.
APInt& operator=(uint64_t RHS);
/// @brief Postfix increment operator. Increments the APInt by one.
const APInt operator++(int);
/// @brief Prefix increment operator. Increments the APInt by one.
APInt& operator++();
/// @brief Postfix decrement operator. Decrements the APInt by one.
const APInt operator--(int);
/// @brief Prefix decrement operator. Decrements the APInt by one.
APInt& operator--();
/// @brief Bitwise AND assignment operator. Performs bitwise AND operation on
/// this APInt and the given APInt& RHS, assigns the result to this APInt.
APInt& operator&=(const APInt& RHS);
/// @brief Bitwise OR assignment operator. Performs bitwise OR operation on
/// this APInt and the given APInt& RHS, assigns the result to this APInt.
APInt& operator|=(const APInt& RHS);
/// @brief Bitwise XOR assignment operator. Performs bitwise XOR operation on
/// this APInt and the given APInt& RHS, assigns the result to this APInt.
APInt& operator^=(const APInt& RHS);
/// @brief Left-shift assignment operator. Left-shift the APInt by shiftAmt
/// and assigns the result to this APInt.
APInt& operator<<=(unsigned shiftAmt);
/// @brief Right-shift assignment operator. Right-shift the APInt by shiftAmt
/// and assigns the result to this APInt.
APInt& operator>>=(unsigned shiftAmt);
/// @brief Bitwise complement operator. Performs a bitwise complement
/// operation on this APInt.
APInt operator~() const;
/// @brief Multiplication assignment operator. Multiplies this APInt by the
/// given APInt& RHS and assigns the result to this APInt.
APInt& operator*=(const APInt& RHS);
/// @brief Division assignment operator. Divides this APInt by the given APInt
/// &RHS and assigns the result to this APInt.
APInt& operator/=(const APInt& RHS);
/// @brief Addition assignment operator. Adds this APInt by the given APInt&
/// RHS and assigns the result to this APInt.
APInt& operator+=(const APInt& RHS);
/// @brief Subtraction assignment operator. Subtracts this APInt by the given
/// APInt &RHS and assigns the result to this APInt.
APInt& operator-=(const APInt& RHS);
/// @brief Remainder assignment operator. Yields the remainder from the
/// division of this APInt by the given APInt& RHS and assigns the remainder
/// to this APInt.
APInt& operator%=(const APInt& RHS);
/// @brief Bitwise AND operator. Performs bitwise AND operation on this APInt
/// and the given APInt& RHS.
APInt operator&(const APInt& RHS) const;
/// @brief Bitwise OR operator. Performs bitwise OR operation on this APInt
/// and the given APInt& RHS.
APInt operator|(const APInt& RHS) const;
/// @brief Bitwise XOR operator. Performs bitwise XOR operation on this APInt
/// and the given APInt& RHS.
APInt operator^(const APInt& RHS) const;
/// @brief Logical AND operator. Performs logical AND operation on this APInt
/// and the given APInt& RHS.
bool operator&&(const APInt& RHS) const;
/// @brief Logical OR operator. Performs logical OR operation on this APInt
/// and the given APInt& RHS.
bool operator||(const APInt& RHS) const;
/// @brief Logical negation operator. Performs logical negation operation on
/// this APInt.
bool operator !() const;
/// @brief Multiplication operator. Multiplies this APInt by the given APInt&
/// RHS.
APInt operator*(const APInt& RHS) const;
/// @brief Division operator. Divides this APInt by the given APInt& RHS.
APInt operator/(const APInt& RHS) const;
/// @brief Remainder operator. Yields the remainder from the division of this
/// APInt and the given APInt& RHS.
APInt operator%(const APInt& RHS) const;
/// @brief Addition operator. Adds this APInt by the given APInt& RHS.
APInt operator+(const APInt& RHS) const;
/// @brief Subtraction operator. Subtracts this APInt by the given APInt& RHS
APInt operator-(const APInt& RHS) const;
/// @brief Left-shift operator. Left-shift the APInt by shiftAmt.
APInt operator<<(unsigned shiftAmt) const;
/// @brief Right-shift operator. Right-shift the APInt by shiftAmt.
APInt operator>>(unsigned shiftAmt) const;
/// @brief Array-indexing support.
bool operator[](unsigned bitPosition) const;
/// @brief Equality operator. Compare this APInt with the given APInt& RHS
/// for the validity of the equality relationship.
bool operator==(const APInt& RHS) const;
/// @brief Inequality operator. Compare this APInt with the given APInt& RHS
/// for the validity of the inequality relationship.
bool operator!=(const APInt& RHS) const;
/// @brief Less-than operator. Compare this APInt with the given APInt& RHS
/// for the validity of the less-than relationship.
bool operator <(const APInt& RHS) const;
/// @brief Less-than-or-equal operator. Compare this APInt with the given
/// APInt& RHS for the validity of the less-than-or-equal relationship.
bool operator<=(const APInt& RHS) const;
/// @brief Greater-than operator. Compare this APInt with the given APInt& RHS
/// for the validity of the greater-than relationship.
bool operator> (const APInt& RHS) const;
/// @brief Greater-than-or-equal operator. Compare this APInt with the given
/// APInt& RHS for the validity of the greater-than-or-equal relationship.
bool operator>=(const APInt& RHS) const;
/// @returns a uint64_t value from this APInt. If this APInt contains a single
/// word, just returns VAL, otherwise pVal[0].
inline uint64_t getValue() {
if (isSingleWord())
return isSigned ? ((int64_t(VAL) << (APINT_BITS_PER_WORD - bitsnum)) >>
(APINT_BITS_PER_WORD - bitsnum)) :
VAL;
else
return pVal[0];
}
/// @returns the largest value for an APInt of the specified bit-width and
/// if isSign == true, it should be largest signed value, otherwise largest
/// unsigned value.
/// @brief Gets max value of the APInt with bitwidth <= 64.
static APInt getMaxValue(unsigned numBits, bool isSign);
/// @returns the smallest value for an APInt of the given bit-width and
/// if isSign == true, it should be smallest signed value, otherwise zero.
/// @brief Gets min value of the APInt with bitwidth <= 64.
static APInt getMinValue(unsigned numBits, bool isSign);
/// @returns the all-ones value for an APInt of the specified bit-width.
/// @brief Get the all-ones value.
static APInt getAllOnesValue(unsigned numBits);
/// @brief Set every bit to 1.
APInt& set();
/// Set the given bit to 1 whose poition is given as "bitPosition".
/// @brief Set a given bit to 1.
APInt& set(unsigned bitPosition);
/// @returns the '0' value for an APInt of the specified bit-width.
/// @brief Get the '0' value.
static APInt getNullValue(unsigned numBits);
/// @brief Set every bit to 0.
APInt& clear();
/// Set the given bit to 0 whose position is given as "bitPosition".
/// @brief Set a given bit to 0.
APInt& clear(unsigned bitPosition);
/// @brief Toggle every bit to its opposite value.
APInt& flip();
/// Toggle a given bit to its opposite value whose position is given
/// as "bitPosition".
/// @brief Toggles a given bit to its opposite value.
APInt& flip(unsigned bitPosition);
/// @returns a character interpretation of the APInt.
std::string to_string(uint8_t radix = 10) const;
/// @returns the high "numBits" bits of this APInt.
APInt HiBits(unsigned numBits) const;
/// @returns the low "numBits" bits of this APInt.
APInt LoBits(unsigned numBits) const;
/// @returns true if the argument APInt value is a power of two > 0.
inline const bool isPowerOf2() const {
return *this && !(*this & (*this - 1));
}
/// @returns the number of zeros from the most significant bit to the first
/// one bits.
unsigned CountLeadingZeros() const;
/// @returns the number of zeros from the least significant bit to the first
/// one bit.
unsigned CountTrailingZeros() const;
/// @returns the number of set bits.
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