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01753e59a7
Summary: Added methods to check for under-/overflow in additions, subtractions, signed divisions/modulus, negations, and multiplications. Reviewers: ddcc, gou4shi1 Reviewed By: ddcc, gou4shi1 Subscribers: hiraditya, llvm-commits Tags: #llvm Differential Revision: https://reviews.llvm.org/D59796 llvm-svn: 357088
448 lines
16 KiB
C++
448 lines
16 KiB
C++
//===- SMTAPI.h -------------------------------------------------*- C++ -*-===//
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//
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// Part of the LLVM Project, under the Apache License v2.0 with LLVM Exceptions.
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// See https://llvm.org/LICENSE.txt for license information.
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// SPDX-License-Identifier: Apache-2.0 WITH LLVM-exception
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//
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//===----------------------------------------------------------------------===//
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//
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// This file defines a SMT generic Solver API, which will be the base class
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// for every SMT solver specific class.
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//
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//===----------------------------------------------------------------------===//
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#ifndef LLVM_SUPPORT_SMTAPI_H
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#define LLVM_SUPPORT_SMTAPI_H
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#include "llvm/ADT/APFloat.h"
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#include "llvm/ADT/APSInt.h"
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#include "llvm/ADT/FoldingSet.h"
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#include "llvm/Support/raw_ostream.h"
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#include <memory>
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namespace llvm {
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/// Generic base class for SMT sorts
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class SMTSort {
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public:
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SMTSort() = default;
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virtual ~SMTSort() = default;
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/// Returns true if the sort is a bitvector, calls isBitvectorSortImpl().
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virtual bool isBitvectorSort() const { return isBitvectorSortImpl(); }
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/// Returns true if the sort is a floating-point, calls isFloatSortImpl().
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virtual bool isFloatSort() const { return isFloatSortImpl(); }
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/// Returns true if the sort is a boolean, calls isBooleanSortImpl().
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virtual bool isBooleanSort() const { return isBooleanSortImpl(); }
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/// Returns the bitvector size, fails if the sort is not a bitvector
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/// Calls getBitvectorSortSizeImpl().
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virtual unsigned getBitvectorSortSize() const {
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assert(isBitvectorSort() && "Not a bitvector sort!");
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unsigned Size = getBitvectorSortSizeImpl();
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assert(Size && "Size is zero!");
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return Size;
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};
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/// Returns the floating-point size, fails if the sort is not a floating-point
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/// Calls getFloatSortSizeImpl().
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virtual unsigned getFloatSortSize() const {
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assert(isFloatSort() && "Not a floating-point sort!");
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unsigned Size = getFloatSortSizeImpl();
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assert(Size && "Size is zero!");
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return Size;
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};
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virtual void Profile(llvm::FoldingSetNodeID &ID) const = 0;
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bool operator<(const SMTSort &Other) const {
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llvm::FoldingSetNodeID ID1, ID2;
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Profile(ID1);
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Other.Profile(ID2);
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return ID1 < ID2;
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}
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friend bool operator==(SMTSort const &LHS, SMTSort const &RHS) {
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return LHS.equal_to(RHS);
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}
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virtual void print(raw_ostream &OS) const = 0;
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LLVM_DUMP_METHOD void dump() const;
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protected:
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/// Query the SMT solver and returns true if two sorts are equal (same kind
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/// and bit width). This does not check if the two sorts are the same objects.
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virtual bool equal_to(SMTSort const &other) const = 0;
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/// Query the SMT solver and checks if a sort is bitvector.
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virtual bool isBitvectorSortImpl() const = 0;
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/// Query the SMT solver and checks if a sort is floating-point.
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virtual bool isFloatSortImpl() const = 0;
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/// Query the SMT solver and checks if a sort is boolean.
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virtual bool isBooleanSortImpl() const = 0;
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/// Query the SMT solver and returns the sort bit width.
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virtual unsigned getBitvectorSortSizeImpl() const = 0;
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/// Query the SMT solver and returns the sort bit width.
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virtual unsigned getFloatSortSizeImpl() const = 0;
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};
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/// Shared pointer for SMTSorts, used by SMTSolver API.
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using SMTSortRef = const SMTSort *;
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/// Generic base class for SMT exprs
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class SMTExpr {
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public:
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SMTExpr() = default;
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virtual ~SMTExpr() = default;
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bool operator<(const SMTExpr &Other) const {
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llvm::FoldingSetNodeID ID1, ID2;
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Profile(ID1);
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Other.Profile(ID2);
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return ID1 < ID2;
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}
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virtual void Profile(llvm::FoldingSetNodeID &ID) const = 0;
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friend bool operator==(SMTExpr const &LHS, SMTExpr const &RHS) {
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return LHS.equal_to(RHS);
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}
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virtual void print(raw_ostream &OS) const = 0;
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LLVM_DUMP_METHOD void dump() const;
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protected:
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/// Query the SMT solver and returns true if two sorts are equal (same kind
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/// and bit width). This does not check if the two sorts are the same objects.
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virtual bool equal_to(SMTExpr const &other) const = 0;
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};
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/// Shared pointer for SMTExprs, used by SMTSolver API.
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using SMTExprRef = const SMTExpr *;
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/// Generic base class for SMT Solvers
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///
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/// This class is responsible for wrapping all sorts and expression generation,
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/// through the mk* methods. It also provides methods to create SMT expressions
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/// straight from clang's AST, through the from* methods.
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class SMTSolver {
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public:
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SMTSolver() = default;
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virtual ~SMTSolver() = default;
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LLVM_DUMP_METHOD void dump() const;
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// Returns an appropriate floating-point sort for the given bitwidth.
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SMTSortRef getFloatSort(unsigned BitWidth) {
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switch (BitWidth) {
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case 16:
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return getFloat16Sort();
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case 32:
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return getFloat32Sort();
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case 64:
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return getFloat64Sort();
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case 128:
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return getFloat128Sort();
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default:;
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}
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llvm_unreachable("Unsupported floating-point bitwidth!");
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}
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// Returns a boolean sort.
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virtual SMTSortRef getBoolSort() = 0;
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// Returns an appropriate bitvector sort for the given bitwidth.
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virtual SMTSortRef getBitvectorSort(const unsigned BitWidth) = 0;
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// Returns a floating-point sort of width 16
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virtual SMTSortRef getFloat16Sort() = 0;
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// Returns a floating-point sort of width 32
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virtual SMTSortRef getFloat32Sort() = 0;
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// Returns a floating-point sort of width 64
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virtual SMTSortRef getFloat64Sort() = 0;
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// Returns a floating-point sort of width 128
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virtual SMTSortRef getFloat128Sort() = 0;
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// Returns an appropriate sort for the given AST.
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virtual SMTSortRef getSort(const SMTExprRef &AST) = 0;
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/// Given a constraint, adds it to the solver
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virtual void addConstraint(const SMTExprRef &Exp) const = 0;
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/// Creates a bitvector addition operation
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virtual SMTExprRef mkBVAdd(const SMTExprRef &LHS, const SMTExprRef &RHS) = 0;
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/// Creates a bitvector subtraction operation
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virtual SMTExprRef mkBVSub(const SMTExprRef &LHS, const SMTExprRef &RHS) = 0;
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/// Creates a bitvector multiplication operation
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virtual SMTExprRef mkBVMul(const SMTExprRef &LHS, const SMTExprRef &RHS) = 0;
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/// Creates a bitvector signed modulus operation
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virtual SMTExprRef mkBVSRem(const SMTExprRef &LHS, const SMTExprRef &RHS) = 0;
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/// Creates a bitvector unsigned modulus operation
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virtual SMTExprRef mkBVURem(const SMTExprRef &LHS, const SMTExprRef &RHS) = 0;
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/// Creates a bitvector signed division operation
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virtual SMTExprRef mkBVSDiv(const SMTExprRef &LHS, const SMTExprRef &RHS) = 0;
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/// Creates a bitvector unsigned division operation
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virtual SMTExprRef mkBVUDiv(const SMTExprRef &LHS, const SMTExprRef &RHS) = 0;
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/// Creates a bitvector logical shift left operation
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virtual SMTExprRef mkBVShl(const SMTExprRef &LHS, const SMTExprRef &RHS) = 0;
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/// Creates a bitvector arithmetic shift right operation
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virtual SMTExprRef mkBVAshr(const SMTExprRef &LHS, const SMTExprRef &RHS) = 0;
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/// Creates a bitvector logical shift right operation
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virtual SMTExprRef mkBVLshr(const SMTExprRef &LHS, const SMTExprRef &RHS) = 0;
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/// Creates a bitvector negation operation
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virtual SMTExprRef mkBVNeg(const SMTExprRef &Exp) = 0;
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/// Creates a bitvector not operation
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virtual SMTExprRef mkBVNot(const SMTExprRef &Exp) = 0;
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/// Creates a bitvector xor operation
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virtual SMTExprRef mkBVXor(const SMTExprRef &LHS, const SMTExprRef &RHS) = 0;
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/// Creates a bitvector or operation
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virtual SMTExprRef mkBVOr(const SMTExprRef &LHS, const SMTExprRef &RHS) = 0;
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/// Creates a bitvector and operation
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virtual SMTExprRef mkBVAnd(const SMTExprRef &LHS, const SMTExprRef &RHS) = 0;
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/// Creates a bitvector unsigned less-than operation
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virtual SMTExprRef mkBVUlt(const SMTExprRef &LHS, const SMTExprRef &RHS) = 0;
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/// Creates a bitvector signed less-than operation
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virtual SMTExprRef mkBVSlt(const SMTExprRef &LHS, const SMTExprRef &RHS) = 0;
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/// Creates a bitvector unsigned greater-than operation
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virtual SMTExprRef mkBVUgt(const SMTExprRef &LHS, const SMTExprRef &RHS) = 0;
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/// Creates a bitvector signed greater-than operation
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virtual SMTExprRef mkBVSgt(const SMTExprRef &LHS, const SMTExprRef &RHS) = 0;
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/// Creates a bitvector unsigned less-equal-than operation
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virtual SMTExprRef mkBVUle(const SMTExprRef &LHS, const SMTExprRef &RHS) = 0;
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/// Creates a bitvector signed less-equal-than operation
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virtual SMTExprRef mkBVSle(const SMTExprRef &LHS, const SMTExprRef &RHS) = 0;
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/// Creates a bitvector unsigned greater-equal-than operation
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virtual SMTExprRef mkBVUge(const SMTExprRef &LHS, const SMTExprRef &RHS) = 0;
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/// Creates a bitvector signed greater-equal-than operation
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virtual SMTExprRef mkBVSge(const SMTExprRef &LHS, const SMTExprRef &RHS) = 0;
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/// Creates a boolean not operation
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virtual SMTExprRef mkNot(const SMTExprRef &Exp) = 0;
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/// Creates a boolean equality operation
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virtual SMTExprRef mkEqual(const SMTExprRef &LHS, const SMTExprRef &RHS) = 0;
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/// Creates a boolean and operation
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virtual SMTExprRef mkAnd(const SMTExprRef &LHS, const SMTExprRef &RHS) = 0;
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/// Creates a boolean or operation
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virtual SMTExprRef mkOr(const SMTExprRef &LHS, const SMTExprRef &RHS) = 0;
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/// Creates a boolean ite operation
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virtual SMTExprRef mkIte(const SMTExprRef &Cond, const SMTExprRef &T,
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const SMTExprRef &F) = 0;
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/// Creates a bitvector sign extension operation
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virtual SMTExprRef mkBVSignExt(unsigned i, const SMTExprRef &Exp) = 0;
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/// Creates a bitvector zero extension operation
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virtual SMTExprRef mkBVZeroExt(unsigned i, const SMTExprRef &Exp) = 0;
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/// Creates a bitvector extract operation
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virtual SMTExprRef mkBVExtract(unsigned High, unsigned Low,
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const SMTExprRef &Exp) = 0;
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/// Creates a bitvector concat operation
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virtual SMTExprRef mkBVConcat(const SMTExprRef &LHS,
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const SMTExprRef &RHS) = 0;
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/// Creates a predicate that checks for overflow in a bitvector addition
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/// operation
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virtual SMTExprRef mkBVAddNoOverflow(const SMTExprRef &LHS,
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const SMTExprRef &RHS,
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bool isSigned) = 0;
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/// Creates a predicate that checks for underflow in a signed bitvector
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/// addition operation
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virtual SMTExprRef mkBVAddNoUnderflow(const SMTExprRef &LHS,
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const SMTExprRef &RHS) = 0;
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/// Creates a predicate that checks for overflow in a signed bitvector
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/// subtraction operation
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virtual SMTExprRef mkBVSubNoOverflow(const SMTExprRef &LHS,
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const SMTExprRef &RHS) = 0;
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/// Creates a predicate that checks for underflow in a bitvector subtraction
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/// operation
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virtual SMTExprRef mkBVSubNoUnderflow(const SMTExprRef &LHS,
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const SMTExprRef &RHS,
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bool isSigned) = 0;
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/// Creates a predicate that checks for overflow in a signed bitvector
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/// division/modulus operation
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virtual SMTExprRef mkBVSDivNoOverflow(const SMTExprRef &LHS,
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const SMTExprRef &RHS) = 0;
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/// Creates a predicate that checks for overflow in a bitvector negation
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/// operation
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virtual SMTExprRef mkBVNegNoOverflow(const SMTExprRef &Exp) = 0;
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/// Creates a predicate that checks for overflow in a bitvector multiplication
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/// operation
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virtual SMTExprRef mkBVMulNoOverflow(const SMTExprRef &LHS,
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const SMTExprRef &RHS,
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bool isSigned) = 0;
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/// Creates a predicate that checks for underflow in a signed bitvector
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/// multiplication operation
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virtual SMTExprRef mkBVMulNoUnderflow(const SMTExprRef &LHS,
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const SMTExprRef &RHS) = 0;
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/// Creates a floating-point negation operation
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virtual SMTExprRef mkFPNeg(const SMTExprRef &Exp) = 0;
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/// Creates a floating-point isInfinite operation
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virtual SMTExprRef mkFPIsInfinite(const SMTExprRef &Exp) = 0;
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/// Creates a floating-point isNaN operation
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virtual SMTExprRef mkFPIsNaN(const SMTExprRef &Exp) = 0;
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/// Creates a floating-point isNormal operation
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virtual SMTExprRef mkFPIsNormal(const SMTExprRef &Exp) = 0;
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/// Creates a floating-point isZero operation
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virtual SMTExprRef mkFPIsZero(const SMTExprRef &Exp) = 0;
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/// Creates a floating-point multiplication operation
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virtual SMTExprRef mkFPMul(const SMTExprRef &LHS, const SMTExprRef &RHS) = 0;
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/// Creates a floating-point division operation
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virtual SMTExprRef mkFPDiv(const SMTExprRef &LHS, const SMTExprRef &RHS) = 0;
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/// Creates a floating-point remainder operation
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virtual SMTExprRef mkFPRem(const SMTExprRef &LHS, const SMTExprRef &RHS) = 0;
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/// Creates a floating-point addition operation
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virtual SMTExprRef mkFPAdd(const SMTExprRef &LHS, const SMTExprRef &RHS) = 0;
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/// Creates a floating-point subtraction operation
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virtual SMTExprRef mkFPSub(const SMTExprRef &LHS, const SMTExprRef &RHS) = 0;
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/// Creates a floating-point less-than operation
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virtual SMTExprRef mkFPLt(const SMTExprRef &LHS, const SMTExprRef &RHS) = 0;
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/// Creates a floating-point greater-than operation
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virtual SMTExprRef mkFPGt(const SMTExprRef &LHS, const SMTExprRef &RHS) = 0;
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/// Creates a floating-point less-than-or-equal operation
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virtual SMTExprRef mkFPLe(const SMTExprRef &LHS, const SMTExprRef &RHS) = 0;
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/// Creates a floating-point greater-than-or-equal operation
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virtual SMTExprRef mkFPGe(const SMTExprRef &LHS, const SMTExprRef &RHS) = 0;
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/// Creates a floating-point equality operation
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virtual SMTExprRef mkFPEqual(const SMTExprRef &LHS,
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const SMTExprRef &RHS) = 0;
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/// Creates a floating-point conversion from floatint-point to floating-point
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/// operation
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virtual SMTExprRef mkFPtoFP(const SMTExprRef &From, const SMTSortRef &To) = 0;
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/// Creates a floating-point conversion from signed bitvector to
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/// floatint-point operation
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virtual SMTExprRef mkSBVtoFP(const SMTExprRef &From,
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const SMTSortRef &To) = 0;
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/// Creates a floating-point conversion from unsigned bitvector to
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/// floatint-point operation
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virtual SMTExprRef mkUBVtoFP(const SMTExprRef &From,
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const SMTSortRef &To) = 0;
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/// Creates a floating-point conversion from floatint-point to signed
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/// bitvector operation
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virtual SMTExprRef mkFPtoSBV(const SMTExprRef &From, unsigned ToWidth) = 0;
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/// Creates a floating-point conversion from floatint-point to unsigned
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/// bitvector operation
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virtual SMTExprRef mkFPtoUBV(const SMTExprRef &From, unsigned ToWidth) = 0;
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/// Creates a new symbol, given a name and a sort
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virtual SMTExprRef mkSymbol(const char *Name, SMTSortRef Sort) = 0;
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// Returns an appropriate floating-point rounding mode.
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virtual SMTExprRef getFloatRoundingMode() = 0;
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// If the a model is available, returns the value of a given bitvector symbol
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virtual llvm::APSInt getBitvector(const SMTExprRef &Exp, unsigned BitWidth,
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bool isUnsigned) = 0;
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// If the a model is available, returns the value of a given boolean symbol
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virtual bool getBoolean(const SMTExprRef &Exp) = 0;
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/// Constructs an SMTExprRef from a boolean.
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virtual SMTExprRef mkBoolean(const bool b) = 0;
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/// Constructs an SMTExprRef from a finite APFloat.
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virtual SMTExprRef mkFloat(const llvm::APFloat Float) = 0;
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/// Constructs an SMTExprRef from an APSInt and its bit width
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virtual SMTExprRef mkBitvector(const llvm::APSInt Int, unsigned BitWidth) = 0;
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/// Given an expression, extract the value of this operand in the model.
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virtual bool getInterpretation(const SMTExprRef &Exp, llvm::APSInt &Int) = 0;
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/// Given an expression extract the value of this operand in the model.
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virtual bool getInterpretation(const SMTExprRef &Exp,
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llvm::APFloat &Float) = 0;
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/// Check if the constraints are satisfiable
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virtual Optional<bool> check() const = 0;
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/// Push the current solver state
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virtual void push() = 0;
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/// Pop the previous solver state
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virtual void pop(unsigned NumStates = 1) = 0;
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/// Reset the solver and remove all constraints.
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virtual void reset() = 0;
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/// Checks if the solver supports floating-points.
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virtual bool isFPSupported() = 0;
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virtual void print(raw_ostream &OS) const = 0;
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};
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/// Shared pointer for SMTSolvers.
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using SMTSolverRef = std::shared_ptr<SMTSolver>;
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/// Convenience method to create and Z3Solver object
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SMTSolverRef CreateZ3Solver();
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} // namespace llvm
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#endif
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