/********************* */ /*! \file bitvector.h ** \verbatim ** Top contributors (to current version): ** Aina Niemetz, Dejan Jovanovic, Liana Hadarean ** This file is part of the CVC4 project. ** Copyright (c) 2009-2018 by the authors listed in the file AUTHORS ** in the top-level source directory) and their institutional affiliations. ** All rights reserved. See the file COPYING in the top-level source ** directory for licensing information.\endverbatim ** ** \brief A fixed-size bit-vector. ** ** A fixed-size bit-vector, implemented as a wrapper around Integer. **/ #include "cvc4_public.h" #ifndef __CVC4__BITVECTOR_H #define __CVC4__BITVECTOR_H #include #include #include "base/exception.h" #include "util/integer.h" namespace CVC4 { class CVC4_PUBLIC BitVector { public: BitVector(unsigned size, const Integer& val) : d_size(size), d_value(val.modByPow2(size)) { } BitVector(unsigned size = 0) : d_size(size), d_value(0) {} /** * BitVector constructor using a 32-bit unsigned integer for the value. * * Note: we use an explicit bit-width here to be consistent across * platforms (long is 32-bit when compiling 64-bit binaries on * Windows but 64-bit on Linux) and to prevent ambiguous overloads. */ BitVector(unsigned size, uint32_t z) : d_size(size), d_value(z) { d_value = d_value.modByPow2(size); } /** * BitVector constructor using a 64-bit unsigned integer for the value. * * Note: we use an explicit bit-width here to be consistent across * platforms (long is 32-bit when compiling 64-bit binaries on * Windows but 64-bit on Linux) and to prevent ambiguous overloads. */ BitVector(unsigned size, uint64_t z) : d_size(size), d_value(z) { d_value = d_value.modByPow2(size); } BitVector(unsigned size, const BitVector& q) : d_size(size), d_value(q.d_value) { } BitVector(const std::string& num, unsigned base = 2) { CheckArgument(base == 2 || base == 16, base); d_size = base == 2 ? num.size() : num.size() * 4; d_value = Integer(num, base); } ~BitVector() {} BitVector& operator=(const BitVector& x) { if (this == &x) return *this; d_size = x.d_size; d_value = x.d_value; return *this; } /* Get size (bit-width). */ unsigned getSize() const; /* Get value. */ const Integer& getValue() const; /* Return value. */ Integer toInteger() const; /* Return Integer corresponding to two's complement interpretation of this. */ Integer toSignedInteger() const; /* Return (binary) string representation. */ std::string toString(unsigned int base = 2) const; /* Return hash value. */ size_t hash() const; /* Set bit at index 'i'. */ BitVector setBit(uint32_t i) const; /* Return true if bit at index 'i' is set. */ bool isBitSet(uint32_t i) const; /* Return k if the value of this is equal to 2^{k-1}, and zero otherwise. */ unsigned isPow2() const; /* ----------------------------------------------------------------------- ** Operators * ----------------------------------------------------------------------- */ /* String Operations ----------------------------------------------------- */ /* Return the concatenation of this and bit-vector 'other'. */ BitVector concat(const BitVector& other) const; /* Return the bit range from index 'high' to index 'low'. */ BitVector extract(unsigned high, unsigned low) const; /* (Dis)Equality --------------------------------------------------------- */ /* Return true if this is equal to 'y'. */ bool operator==(const BitVector& y) const; /* Return true if this is not equal to 'y'. */ bool operator!=(const BitVector& y) const; /* Unsigned Inequality --------------------------------------------------- */ /* Return true if this is unsigned less than bit-vector 'y'. */ bool operator<(const BitVector& y) const; /* Return true if this is unsigned less than or equal to bit-vector 'y'. */ bool operator<=(const BitVector& y) const; /* Return true if this is unsigned greater than bit-vector 'y'. */ bool operator>(const BitVector& y) const; /* Return true if this is unsigned greater than or equal to bit-vector 'y'. */ bool operator>=(const BitVector& y) const; /* Return true if this is unsigned less than bit-vector 'y'. * This function is a synonym for operator < but performs additional * argument checks.*/ bool unsignedLessThan(const BitVector& y) const; /* Return true if this is unsigned less than or equal to bit-vector 'y'. * This function is a synonym for operator >= but performs additional * argument checks.*/ bool unsignedLessThanEq(const BitVector& y) const; /* Signed Inequality ----------------------------------------------------- */ /* Return true if this is signed less than bit-vector 'y'. */ bool signedLessThan(const BitVector& y) const; /* Return true if this is signed less than or equal to bit-vector 'y'. */ bool signedLessThanEq(const BitVector& y) const; /* Bit-wise operations --------------------------------------------------- */ /* Return a bit-vector representing the bit-wise xor (this ^ y). */ BitVector operator^(const BitVector& y) const; /* Return a bit-vector representing the bit-wise or (this | y). */ BitVector operator|(const BitVector& y) const; /* Return a bit-vector representing the bit-wise and (this & y). */ BitVector operator&(const BitVector& y) const; /* Return a bit-vector representing the bit-wise not of this. */ BitVector operator~() const; /* Arithmetic operations ------------------------------------------------- */ /* Return a bit-vector representing the addition (this + y). */ BitVector operator+(const BitVector& y) const; /* Return a bit-vector representing the subtraction (this - y). */ BitVector operator-(const BitVector& y) const; /* Return a bit-vector representing the negation of this. */ BitVector operator-() const; /* Return a bit-vector representing the multiplication (this * y). */ BitVector operator*(const BitVector& y) const; /* Total division function. * Returns a bit-vector representing 2^d_size-1 (signed: -1) when the * denominator is zero, and a bit-vector representing the unsigned division * (this / y), otherwise. */ BitVector unsignedDivTotal(const BitVector& y) const; /* Total remainder function. * Returns this when the denominator is zero, and the unsigned remainder * (this % y), otherwise. */ BitVector unsignedRemTotal(const BitVector& y) const; /* Extend operations ----------------------------------------------------- */ /* Return a bit-vector representing this extended by 'n' zero bits. */ BitVector zeroExtend(unsigned n) const; /* Return a bit-vector representing this extended by 'n' bits of the value * of the signed bit. */ BitVector signExtend(unsigned n) const; /* Shift operations ------------------------------------------------------ */ /* Return a bit-vector representing a left shift of this by 'y'. */ BitVector leftShift(const BitVector& y) const; /* Return a bit-vector representing a logical right shift of this by 'y'. */ BitVector logicalRightShift(const BitVector& y) const; /* Return a bit-vector representing an arithmetic right shift of this * by 'y'.*/ BitVector arithRightShift(const BitVector& y) const; /* ----------------------------------------------------------------------- ** Static helpers. * ----------------------------------------------------------------------- */ /* Create bit-vector of ones of given size. */ static BitVector mkOnes(unsigned size); /* Create bit-vector representing the minimum signed value of given size. */ static BitVector mkMinSigned(unsigned size); /* Create bit-vector representing the maximum signed value of given size. */ static BitVector mkMaxSigned(unsigned size); private: /** * Class invariants: * - no overflows: 2^d_size < d_value * - no negative numbers: d_value >= 0 */ unsigned d_size; Integer d_value; }; /* class BitVector */ /* ----------------------------------------------------------------------- ** BitVector structs * ----------------------------------------------------------------------- */ /** * The structure representing the extraction operation for bit-vectors. The * operation maps bit-vectors to bit-vector of size high - low + 1 * by taking the bits at indices high ... low */ struct CVC4_PUBLIC BitVectorExtract { /** The high bit of the range for this extract */ unsigned high; /** The low bit of the range for this extract */ unsigned low; BitVectorExtract(unsigned high, unsigned low) : high(high), low(low) {} bool operator==(const BitVectorExtract& extract) const { return high == extract.high && low == extract.low; } }; /* struct BitVectorExtract */ /** * The structure representing the extraction of one Boolean bit. */ struct CVC4_PUBLIC BitVectorBitOf { /** The index of the bit */ unsigned bitIndex; BitVectorBitOf(unsigned i) : bitIndex(i) {} bool operator==(const BitVectorBitOf& other) const { return bitIndex == other.bitIndex; } }; /* struct BitVectorBitOf */ struct CVC4_PUBLIC BitVectorSize { unsigned size; BitVectorSize(unsigned size) : size(size) {} operator unsigned() const { return size; } }; /* struct BitVectorSize */ struct CVC4_PUBLIC BitVectorRepeat { unsigned repeatAmount; BitVectorRepeat(unsigned repeatAmount) : repeatAmount(repeatAmount) {} operator unsigned() const { return repeatAmount; } }; /* struct BitVectorRepeat */ struct CVC4_PUBLIC BitVectorZeroExtend { unsigned zeroExtendAmount; BitVectorZeroExtend(unsigned zeroExtendAmount) : zeroExtendAmount(zeroExtendAmount) { } operator unsigned() const { return zeroExtendAmount; } }; /* struct BitVectorZeroExtend */ struct CVC4_PUBLIC BitVectorSignExtend { unsigned signExtendAmount; BitVectorSignExtend(unsigned signExtendAmount) : signExtendAmount(signExtendAmount) { } operator unsigned() const { return signExtendAmount; } }; /* struct BitVectorSignExtend */ struct CVC4_PUBLIC BitVectorRotateLeft { unsigned rotateLeftAmount; BitVectorRotateLeft(unsigned rotateLeftAmount) : rotateLeftAmount(rotateLeftAmount) { } operator unsigned() const { return rotateLeftAmount; } }; /* struct BitVectorRotateLeft */ struct CVC4_PUBLIC BitVectorRotateRight { unsigned rotateRightAmount; BitVectorRotateRight(unsigned rotateRightAmount) : rotateRightAmount(rotateRightAmount) { } operator unsigned() const { return rotateRightAmount; } }; /* struct BitVectorRotateRight */ struct CVC4_PUBLIC IntToBitVector { unsigned size; IntToBitVector(unsigned size) : size(size) {} operator unsigned() const { return size; } }; /* struct IntToBitVector */ /* ----------------------------------------------------------------------- ** Hash Function structs * ----------------------------------------------------------------------- */ /* * Hash function for the BitVector constants. */ struct CVC4_PUBLIC BitVectorHashFunction { inline size_t operator()(const BitVector& bv) const { return bv.hash(); } }; /* struct BitVectorHashFunction */ /** * Hash function for the BitVectorExtract objects. */ struct CVC4_PUBLIC BitVectorExtractHashFunction { size_t operator()(const BitVectorExtract& extract) const { size_t hash = extract.low; hash ^= extract.high + 0x9e3779b9 + (hash << 6) + (hash >> 2); return hash; } }; /* struct BitVectorExtractHashFunction */ /** * Hash function for the BitVectorBitOf objects. */ struct CVC4_PUBLIC BitVectorBitOfHashFunction { size_t operator()(const BitVectorBitOf& b) const { return b.bitIndex; } }; /* struct BitVectorBitOfHashFunction */ template struct CVC4_PUBLIC UnsignedHashFunction { inline size_t operator()(const T& x) const { return (size_t)x; } }; /* struct UnsignedHashFunction */ /* ----------------------------------------------------------------------- ** Output stream * ----------------------------------------------------------------------- */ inline std::ostream& operator<<(std::ostream& os, const BitVector& bv) CVC4_PUBLIC; inline std::ostream& operator<<(std::ostream& os, const BitVector& bv) { return os << bv.toString(); } inline std::ostream& operator<<(std::ostream& os, const BitVectorExtract& bv) CVC4_PUBLIC; inline std::ostream& operator<<(std::ostream& os, const BitVectorExtract& bv) { return os << "[" << bv.high << ":" << bv.low << "]"; } inline std::ostream& operator<<(std::ostream& os, const BitVectorBitOf& bv) CVC4_PUBLIC; inline std::ostream& operator<<(std::ostream& os, const BitVectorBitOf& bv) { return os << "[" << bv.bitIndex << "]"; } inline std::ostream& operator<<(std::ostream& os, const IntToBitVector& bv) CVC4_PUBLIC; inline std::ostream& operator<<(std::ostream& os, const IntToBitVector& bv) { return os << "[" << bv.size << "]"; } } // namespace CVC4 #endif /* __CVC4__BITVECTOR_H */