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-rw-r--r--llvm/lib/Support/Z3Solver.cpp900
1 files changed, 900 insertions, 0 deletions
diff --git a/llvm/lib/Support/Z3Solver.cpp b/llvm/lib/Support/Z3Solver.cpp
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index 000000000000..a83d0f441a4b
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+++ b/llvm/lib/Support/Z3Solver.cpp
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+//== Z3Solver.cpp -----------------------------------------------*- C++ -*--==//
+//
+// Part of the LLVM Project, under the Apache License v2.0 with LLVM Exceptions.
+// See https://llvm.org/LICENSE.txt for license information.
+// SPDX-License-Identifier: Apache-2.0 WITH LLVM-exception
+//
+//===----------------------------------------------------------------------===//
+
+#include "llvm/ADT/Twine.h"
+#include "llvm/Config/config.h"
+#include "llvm/Support/SMTAPI.h"
+#include <set>
+
+using namespace llvm;
+
+#if LLVM_WITH_Z3
+
+#include <z3.h>
+
+namespace {
+
+/// Configuration class for Z3
+class Z3Config {
+ friend class Z3Context;
+
+ Z3_config Config;
+
+public:
+ Z3Config() : Config(Z3_mk_config()) {
+ // Enable model finding
+ Z3_set_param_value(Config, "model", "true");
+ // Disable proof generation
+ Z3_set_param_value(Config, "proof", "false");
+ // Set timeout to 15000ms = 15s
+ Z3_set_param_value(Config, "timeout", "15000");
+ }
+
+ ~Z3Config() { Z3_del_config(Config); }
+}; // end class Z3Config
+
+// Function used to report errors
+void Z3ErrorHandler(Z3_context Context, Z3_error_code Error) {
+ llvm::report_fatal_error("Z3 error: " +
+ llvm::Twine(Z3_get_error_msg(Context, Error)));
+}
+
+/// Wrapper for Z3 context
+class Z3Context {
+public:
+ Z3_context Context;
+
+ Z3Context() {
+ Context = Z3_mk_context_rc(Z3Config().Config);
+ // The error function is set here because the context is the first object
+ // created by the backend
+ Z3_set_error_handler(Context, Z3ErrorHandler);
+ }
+
+ virtual ~Z3Context() {
+ Z3_del_context(Context);
+ Context = nullptr;
+ }
+}; // end class Z3Context
+
+/// Wrapper for Z3 Sort
+class Z3Sort : public SMTSort {
+ friend class Z3Solver;
+
+ Z3Context &Context;
+
+ Z3_sort Sort;
+
+public:
+ /// Default constructor, mainly used by make_shared
+ Z3Sort(Z3Context &C, Z3_sort ZS) : Context(C), Sort(ZS) {
+ Z3_inc_ref(Context.Context, reinterpret_cast<Z3_ast>(Sort));
+ }
+
+ /// Override implicit copy constructor for correct reference counting.
+ Z3Sort(const Z3Sort &Other) : Context(Other.Context), Sort(Other.Sort) {
+ Z3_inc_ref(Context.Context, reinterpret_cast<Z3_ast>(Sort));
+ }
+
+ /// Override implicit copy assignment constructor for correct reference
+ /// counting.
+ Z3Sort &operator=(const Z3Sort &Other) {
+ Z3_inc_ref(Context.Context, reinterpret_cast<Z3_ast>(Other.Sort));
+ Z3_dec_ref(Context.Context, reinterpret_cast<Z3_ast>(Sort));
+ Sort = Other.Sort;
+ return *this;
+ }
+
+ Z3Sort(Z3Sort &&Other) = delete;
+ Z3Sort &operator=(Z3Sort &&Other) = delete;
+
+ ~Z3Sort() {
+ if (Sort)
+ Z3_dec_ref(Context.Context, reinterpret_cast<Z3_ast>(Sort));
+ }
+
+ void Profile(llvm::FoldingSetNodeID &ID) const override {
+ ID.AddInteger(
+ Z3_get_ast_id(Context.Context, reinterpret_cast<Z3_ast>(Sort)));
+ }
+
+ bool isBitvectorSortImpl() const override {
+ return (Z3_get_sort_kind(Context.Context, Sort) == Z3_BV_SORT);
+ }
+
+ bool isFloatSortImpl() const override {
+ return (Z3_get_sort_kind(Context.Context, Sort) == Z3_FLOATING_POINT_SORT);
+ }
+
+ bool isBooleanSortImpl() const override {
+ return (Z3_get_sort_kind(Context.Context, Sort) == Z3_BOOL_SORT);
+ }
+
+ unsigned getBitvectorSortSizeImpl() const override {
+ return Z3_get_bv_sort_size(Context.Context, Sort);
+ }
+
+ unsigned getFloatSortSizeImpl() const override {
+ return Z3_fpa_get_ebits(Context.Context, Sort) +
+ Z3_fpa_get_sbits(Context.Context, Sort);
+ }
+
+ bool equal_to(SMTSort const &Other) const override {
+ return Z3_is_eq_sort(Context.Context, Sort,
+ static_cast<const Z3Sort &>(Other).Sort);
+ }
+
+ void print(raw_ostream &OS) const override {
+ OS << Z3_sort_to_string(Context.Context, Sort);
+ }
+}; // end class Z3Sort
+
+static const Z3Sort &toZ3Sort(const SMTSort &S) {
+ return static_cast<const Z3Sort &>(S);
+}
+
+class Z3Expr : public SMTExpr {
+ friend class Z3Solver;
+
+ Z3Context &Context;
+
+ Z3_ast AST;
+
+public:
+ Z3Expr(Z3Context &C, Z3_ast ZA) : SMTExpr(), Context(C), AST(ZA) {
+ Z3_inc_ref(Context.Context, AST);
+ }
+
+ /// Override implicit copy constructor for correct reference counting.
+ Z3Expr(const Z3Expr &Copy) : SMTExpr(), Context(Copy.Context), AST(Copy.AST) {
+ Z3_inc_ref(Context.Context, AST);
+ }
+
+ /// Override implicit copy assignment constructor for correct reference
+ /// counting.
+ Z3Expr &operator=(const Z3Expr &Other) {
+ Z3_inc_ref(Context.Context, Other.AST);
+ Z3_dec_ref(Context.Context, AST);
+ AST = Other.AST;
+ return *this;
+ }
+
+ Z3Expr(Z3Expr &&Other) = delete;
+ Z3Expr &operator=(Z3Expr &&Other) = delete;
+
+ ~Z3Expr() {
+ if (AST)
+ Z3_dec_ref(Context.Context, AST);
+ }
+
+ void Profile(llvm::FoldingSetNodeID &ID) const override {
+ ID.AddInteger(Z3_get_ast_id(Context.Context, AST));
+ }
+
+ /// Comparison of AST equality, not model equivalence.
+ bool equal_to(SMTExpr const &Other) const override {
+ assert(Z3_is_eq_sort(Context.Context, Z3_get_sort(Context.Context, AST),
+ Z3_get_sort(Context.Context,
+ static_cast<const Z3Expr &>(Other).AST)) &&
+ "AST's must have the same sort");
+ return Z3_is_eq_ast(Context.Context, AST,
+ static_cast<const Z3Expr &>(Other).AST);
+ }
+
+ void print(raw_ostream &OS) const override {
+ OS << Z3_ast_to_string(Context.Context, AST);
+ }
+}; // end class Z3Expr
+
+static const Z3Expr &toZ3Expr(const SMTExpr &E) {
+ return static_cast<const Z3Expr &>(E);
+}
+
+class Z3Model {
+ friend class Z3Solver;
+
+ Z3Context &Context;
+
+ Z3_model Model;
+
+public:
+ Z3Model(Z3Context &C, Z3_model ZM) : Context(C), Model(ZM) {
+ Z3_model_inc_ref(Context.Context, Model);
+ }
+
+ Z3Model(const Z3Model &Other) = delete;
+ Z3Model(Z3Model &&Other) = delete;
+ Z3Model &operator=(Z3Model &Other) = delete;
+ Z3Model &operator=(Z3Model &&Other) = delete;
+
+ ~Z3Model() {
+ if (Model)
+ Z3_model_dec_ref(Context.Context, Model);
+ }
+
+ void print(raw_ostream &OS) const {
+ OS << Z3_model_to_string(Context.Context, Model);
+ }
+
+ LLVM_DUMP_METHOD void dump() const { print(llvm::errs()); }
+}; // end class Z3Model
+
+/// Get the corresponding IEEE floating-point type for a given bitwidth.
+static const llvm::fltSemantics &getFloatSemantics(unsigned BitWidth) {
+ switch (BitWidth) {
+ default:
+ llvm_unreachable("Unsupported floating-point semantics!");
+ break;
+ case 16:
+ return llvm::APFloat::IEEEhalf();
+ case 32:
+ return llvm::APFloat::IEEEsingle();
+ case 64:
+ return llvm::APFloat::IEEEdouble();
+ case 128:
+ return llvm::APFloat::IEEEquad();
+ }
+}
+
+// Determine whether two float semantics are equivalent
+static bool areEquivalent(const llvm::fltSemantics &LHS,
+ const llvm::fltSemantics &RHS) {
+ return (llvm::APFloat::semanticsPrecision(LHS) ==
+ llvm::APFloat::semanticsPrecision(RHS)) &&
+ (llvm::APFloat::semanticsMinExponent(LHS) ==
+ llvm::APFloat::semanticsMinExponent(RHS)) &&
+ (llvm::APFloat::semanticsMaxExponent(LHS) ==
+ llvm::APFloat::semanticsMaxExponent(RHS)) &&
+ (llvm::APFloat::semanticsSizeInBits(LHS) ==
+ llvm::APFloat::semanticsSizeInBits(RHS));
+}
+
+class Z3Solver : public SMTSolver {
+ friend class Z3ConstraintManager;
+
+ Z3Context Context;
+
+ Z3_solver Solver;
+
+ // Cache Sorts
+ std::set<Z3Sort> CachedSorts;
+
+ // Cache Exprs
+ std::set<Z3Expr> CachedExprs;
+
+public:
+ Z3Solver() : Solver(Z3_mk_simple_solver(Context.Context)) {
+ Z3_solver_inc_ref(Context.Context, Solver);
+ }
+
+ Z3Solver(const Z3Solver &Other) = delete;
+ Z3Solver(Z3Solver &&Other) = delete;
+ Z3Solver &operator=(Z3Solver &Other) = delete;
+ Z3Solver &operator=(Z3Solver &&Other) = delete;
+
+ ~Z3Solver() {
+ if (Solver)
+ Z3_solver_dec_ref(Context.Context, Solver);
+ }
+
+ void addConstraint(const SMTExprRef &Exp) const override {
+ Z3_solver_assert(Context.Context, Solver, toZ3Expr(*Exp).AST);
+ }
+
+ // Given an SMTSort, adds/retrives it from the cache and returns
+ // an SMTSortRef to the SMTSort in the cache
+ SMTSortRef newSortRef(const SMTSort &Sort) {
+ auto It = CachedSorts.insert(toZ3Sort(Sort));
+ return &(*It.first);
+ }
+
+ // Given an SMTExpr, adds/retrives it from the cache and returns
+ // an SMTExprRef to the SMTExpr in the cache
+ SMTExprRef newExprRef(const SMTExpr &Exp) {
+ auto It = CachedExprs.insert(toZ3Expr(Exp));
+ return &(*It.first);
+ }
+
+ SMTSortRef getBoolSort() override {
+ return newSortRef(Z3Sort(Context, Z3_mk_bool_sort(Context.Context)));
+ }
+
+ SMTSortRef getBitvectorSort(unsigned BitWidth) override {
+ return newSortRef(
+ Z3Sort(Context, Z3_mk_bv_sort(Context.Context, BitWidth)));
+ }
+
+ SMTSortRef getSort(const SMTExprRef &Exp) override {
+ return newSortRef(
+ Z3Sort(Context, Z3_get_sort(Context.Context, toZ3Expr(*Exp).AST)));
+ }
+
+ SMTSortRef getFloat16Sort() override {
+ return newSortRef(Z3Sort(Context, Z3_mk_fpa_sort_16(Context.Context)));
+ }
+
+ SMTSortRef getFloat32Sort() override {
+ return newSortRef(Z3Sort(Context, Z3_mk_fpa_sort_32(Context.Context)));
+ }
+
+ SMTSortRef getFloat64Sort() override {
+ return newSortRef(Z3Sort(Context, Z3_mk_fpa_sort_64(Context.Context)));
+ }
+
+ SMTSortRef getFloat128Sort() override {
+ return newSortRef(Z3Sort(Context, Z3_mk_fpa_sort_128(Context.Context)));
+ }
+
+ SMTExprRef mkBVNeg(const SMTExprRef &Exp) override {
+ return newExprRef(
+ Z3Expr(Context, Z3_mk_bvneg(Context.Context, toZ3Expr(*Exp).AST)));
+ }
+
+ SMTExprRef mkBVNot(const SMTExprRef &Exp) override {
+ return newExprRef(
+ Z3Expr(Context, Z3_mk_bvnot(Context.Context, toZ3Expr(*Exp).AST)));
+ }
+
+ SMTExprRef mkNot(const SMTExprRef &Exp) override {
+ return newExprRef(
+ Z3Expr(Context, Z3_mk_not(Context.Context, toZ3Expr(*Exp).AST)));
+ }
+
+ SMTExprRef mkBVAdd(const SMTExprRef &LHS, const SMTExprRef &RHS) override {
+ return newExprRef(
+ Z3Expr(Context, Z3_mk_bvadd(Context.Context, toZ3Expr(*LHS).AST,
+ toZ3Expr(*RHS).AST)));
+ }
+
+ SMTExprRef mkBVSub(const SMTExprRef &LHS, const SMTExprRef &RHS) override {
+ return newExprRef(
+ Z3Expr(Context, Z3_mk_bvsub(Context.Context, toZ3Expr(*LHS).AST,
+ toZ3Expr(*RHS).AST)));
+ }
+
+ SMTExprRef mkBVMul(const SMTExprRef &LHS, const SMTExprRef &RHS) override {
+ return newExprRef(
+ Z3Expr(Context, Z3_mk_bvmul(Context.Context, toZ3Expr(*LHS).AST,
+ toZ3Expr(*RHS).AST)));
+ }
+
+ SMTExprRef mkBVSRem(const SMTExprRef &LHS, const SMTExprRef &RHS) override {
+ return newExprRef(
+ Z3Expr(Context, Z3_mk_bvsrem(Context.Context, toZ3Expr(*LHS).AST,
+ toZ3Expr(*RHS).AST)));
+ }
+
+ SMTExprRef mkBVURem(const SMTExprRef &LHS, const SMTExprRef &RHS) override {
+ return newExprRef(
+ Z3Expr(Context, Z3_mk_bvurem(Context.Context, toZ3Expr(*LHS).AST,
+ toZ3Expr(*RHS).AST)));
+ }
+
+ SMTExprRef mkBVSDiv(const SMTExprRef &LHS, const SMTExprRef &RHS) override {
+ return newExprRef(
+ Z3Expr(Context, Z3_mk_bvsdiv(Context.Context, toZ3Expr(*LHS).AST,
+ toZ3Expr(*RHS).AST)));
+ }
+
+ SMTExprRef mkBVUDiv(const SMTExprRef &LHS, const SMTExprRef &RHS) override {
+ return newExprRef(
+ Z3Expr(Context, Z3_mk_bvudiv(Context.Context, toZ3Expr(*LHS).AST,
+ toZ3Expr(*RHS).AST)));
+ }
+
+ SMTExprRef mkBVShl(const SMTExprRef &LHS, const SMTExprRef &RHS) override {
+ return newExprRef(
+ Z3Expr(Context, Z3_mk_bvshl(Context.Context, toZ3Expr(*LHS).AST,
+ toZ3Expr(*RHS).AST)));
+ }
+
+ SMTExprRef mkBVAshr(const SMTExprRef &LHS, const SMTExprRef &RHS) override {
+ return newExprRef(
+ Z3Expr(Context, Z3_mk_bvashr(Context.Context, toZ3Expr(*LHS).AST,
+ toZ3Expr(*RHS).AST)));
+ }
+
+ SMTExprRef mkBVLshr(const SMTExprRef &LHS, const SMTExprRef &RHS) override {
+ return newExprRef(
+ Z3Expr(Context, Z3_mk_bvlshr(Context.Context, toZ3Expr(*LHS).AST,
+ toZ3Expr(*RHS).AST)));
+ }
+
+ SMTExprRef mkBVXor(const SMTExprRef &LHS, const SMTExprRef &RHS) override {
+ return newExprRef(
+ Z3Expr(Context, Z3_mk_bvxor(Context.Context, toZ3Expr(*LHS).AST,
+ toZ3Expr(*RHS).AST)));
+ }
+
+ SMTExprRef mkBVOr(const SMTExprRef &LHS, const SMTExprRef &RHS) override {
+ return newExprRef(
+ Z3Expr(Context, Z3_mk_bvor(Context.Context, toZ3Expr(*LHS).AST,
+ toZ3Expr(*RHS).AST)));
+ }
+
+ SMTExprRef mkBVAnd(const SMTExprRef &LHS, const SMTExprRef &RHS) override {
+ return newExprRef(
+ Z3Expr(Context, Z3_mk_bvand(Context.Context, toZ3Expr(*LHS).AST,
+ toZ3Expr(*RHS).AST)));
+ }
+
+ SMTExprRef mkBVUlt(const SMTExprRef &LHS, const SMTExprRef &RHS) override {
+ return newExprRef(
+ Z3Expr(Context, Z3_mk_bvult(Context.Context, toZ3Expr(*LHS).AST,
+ toZ3Expr(*RHS).AST)));
+ }
+
+ SMTExprRef mkBVSlt(const SMTExprRef &LHS, const SMTExprRef &RHS) override {
+ return newExprRef(
+ Z3Expr(Context, Z3_mk_bvslt(Context.Context, toZ3Expr(*LHS).AST,
+ toZ3Expr(*RHS).AST)));
+ }
+
+ SMTExprRef mkBVUgt(const SMTExprRef &LHS, const SMTExprRef &RHS) override {
+ return newExprRef(
+ Z3Expr(Context, Z3_mk_bvugt(Context.Context, toZ3Expr(*LHS).AST,
+ toZ3Expr(*RHS).AST)));
+ }
+
+ SMTExprRef mkBVSgt(const SMTExprRef &LHS, const SMTExprRef &RHS) override {
+ return newExprRef(
+ Z3Expr(Context, Z3_mk_bvsgt(Context.Context, toZ3Expr(*LHS).AST,
+ toZ3Expr(*RHS).AST)));
+ }
+
+ SMTExprRef mkBVUle(const SMTExprRef &LHS, const SMTExprRef &RHS) override {
+ return newExprRef(
+ Z3Expr(Context, Z3_mk_bvule(Context.Context, toZ3Expr(*LHS).AST,
+ toZ3Expr(*RHS).AST)));
+ }
+
+ SMTExprRef mkBVSle(const SMTExprRef &LHS, const SMTExprRef &RHS) override {
+ return newExprRef(
+ Z3Expr(Context, Z3_mk_bvsle(Context.Context, toZ3Expr(*LHS).AST,
+ toZ3Expr(*RHS).AST)));
+ }
+
+ SMTExprRef mkBVUge(const SMTExprRef &LHS, const SMTExprRef &RHS) override {
+ return newExprRef(
+ Z3Expr(Context, Z3_mk_bvuge(Context.Context, toZ3Expr(*LHS).AST,
+ toZ3Expr(*RHS).AST)));
+ }
+
+ SMTExprRef mkBVSge(const SMTExprRef &LHS, const SMTExprRef &RHS) override {
+ return newExprRef(
+ Z3Expr(Context, Z3_mk_bvsge(Context.Context, toZ3Expr(*LHS).AST,
+ toZ3Expr(*RHS).AST)));
+ }
+
+ SMTExprRef mkAnd(const SMTExprRef &LHS, const SMTExprRef &RHS) override {
+ Z3_ast Args[2] = {toZ3Expr(*LHS).AST, toZ3Expr(*RHS).AST};
+ return newExprRef(Z3Expr(Context, Z3_mk_and(Context.Context, 2, Args)));
+ }
+
+ SMTExprRef mkOr(const SMTExprRef &LHS, const SMTExprRef &RHS) override {
+ Z3_ast Args[2] = {toZ3Expr(*LHS).AST, toZ3Expr(*RHS).AST};
+ return newExprRef(Z3Expr(Context, Z3_mk_or(Context.Context, 2, Args)));
+ }
+
+ SMTExprRef mkEqual(const SMTExprRef &LHS, const SMTExprRef &RHS) override {
+ return newExprRef(
+ Z3Expr(Context, Z3_mk_eq(Context.Context, toZ3Expr(*LHS).AST,
+ toZ3Expr(*RHS).AST)));
+ }
+
+ SMTExprRef mkFPNeg(const SMTExprRef &Exp) override {
+ return newExprRef(
+ Z3Expr(Context, Z3_mk_fpa_neg(Context.Context, toZ3Expr(*Exp).AST)));
+ }
+
+ SMTExprRef mkFPIsInfinite(const SMTExprRef &Exp) override {
+ return newExprRef(Z3Expr(
+ Context, Z3_mk_fpa_is_infinite(Context.Context, toZ3Expr(*Exp).AST)));
+ }
+
+ SMTExprRef mkFPIsNaN(const SMTExprRef &Exp) override {
+ return newExprRef(
+ Z3Expr(Context, Z3_mk_fpa_is_nan(Context.Context, toZ3Expr(*Exp).AST)));
+ }
+
+ SMTExprRef mkFPIsNormal(const SMTExprRef &Exp) override {
+ return newExprRef(Z3Expr(
+ Context, Z3_mk_fpa_is_normal(Context.Context, toZ3Expr(*Exp).AST)));
+ }
+
+ SMTExprRef mkFPIsZero(const SMTExprRef &Exp) override {
+ return newExprRef(Z3Expr(
+ Context, Z3_mk_fpa_is_zero(Context.Context, toZ3Expr(*Exp).AST)));
+ }
+
+ SMTExprRef mkFPMul(const SMTExprRef &LHS, const SMTExprRef &RHS) override {
+ SMTExprRef RoundingMode = getFloatRoundingMode();
+ return newExprRef(
+ Z3Expr(Context,
+ Z3_mk_fpa_mul(Context.Context, toZ3Expr(*LHS).AST,
+ toZ3Expr(*RHS).AST, toZ3Expr(*RoundingMode).AST)));
+ }
+
+ SMTExprRef mkFPDiv(const SMTExprRef &LHS, const SMTExprRef &RHS) override {
+ SMTExprRef RoundingMode = getFloatRoundingMode();
+ return newExprRef(
+ Z3Expr(Context,
+ Z3_mk_fpa_div(Context.Context, toZ3Expr(*LHS).AST,
+ toZ3Expr(*RHS).AST, toZ3Expr(*RoundingMode).AST)));
+ }
+
+ SMTExprRef mkFPRem(const SMTExprRef &LHS, const SMTExprRef &RHS) override {
+ return newExprRef(
+ Z3Expr(Context, Z3_mk_fpa_rem(Context.Context, toZ3Expr(*LHS).AST,
+ toZ3Expr(*RHS).AST)));
+ }
+
+ SMTExprRef mkFPAdd(const SMTExprRef &LHS, const SMTExprRef &RHS) override {
+ SMTExprRef RoundingMode = getFloatRoundingMode();
+ return newExprRef(
+ Z3Expr(Context,
+ Z3_mk_fpa_add(Context.Context, toZ3Expr(*LHS).AST,
+ toZ3Expr(*RHS).AST, toZ3Expr(*RoundingMode).AST)));
+ }
+
+ SMTExprRef mkFPSub(const SMTExprRef &LHS, const SMTExprRef &RHS) override {
+ SMTExprRef RoundingMode = getFloatRoundingMode();
+ return newExprRef(
+ Z3Expr(Context,
+ Z3_mk_fpa_sub(Context.Context, toZ3Expr(*LHS).AST,
+ toZ3Expr(*RHS).AST, toZ3Expr(*RoundingMode).AST)));
+ }
+
+ SMTExprRef mkFPLt(const SMTExprRef &LHS, const SMTExprRef &RHS) override {
+ return newExprRef(
+ Z3Expr(Context, Z3_mk_fpa_lt(Context.Context, toZ3Expr(*LHS).AST,
+ toZ3Expr(*RHS).AST)));
+ }
+
+ SMTExprRef mkFPGt(const SMTExprRef &LHS, const SMTExprRef &RHS) override {
+ return newExprRef(
+ Z3Expr(Context, Z3_mk_fpa_gt(Context.Context, toZ3Expr(*LHS).AST,
+ toZ3Expr(*RHS).AST)));
+ }
+
+ SMTExprRef mkFPLe(const SMTExprRef &LHS, const SMTExprRef &RHS) override {
+ return newExprRef(
+ Z3Expr(Context, Z3_mk_fpa_leq(Context.Context, toZ3Expr(*LHS).AST,
+ toZ3Expr(*RHS).AST)));
+ }
+
+ SMTExprRef mkFPGe(const SMTExprRef &LHS, const SMTExprRef &RHS) override {
+ return newExprRef(
+ Z3Expr(Context, Z3_mk_fpa_geq(Context.Context, toZ3Expr(*LHS).AST,
+ toZ3Expr(*RHS).AST)));
+ }
+
+ SMTExprRef mkFPEqual(const SMTExprRef &LHS, const SMTExprRef &RHS) override {
+ return newExprRef(
+ Z3Expr(Context, Z3_mk_fpa_eq(Context.Context, toZ3Expr(*LHS).AST,
+ toZ3Expr(*RHS).AST)));
+ }
+
+ SMTExprRef mkIte(const SMTExprRef &Cond, const SMTExprRef &T,
+ const SMTExprRef &F) override {
+ return newExprRef(
+ Z3Expr(Context, Z3_mk_ite(Context.Context, toZ3Expr(*Cond).AST,
+ toZ3Expr(*T).AST, toZ3Expr(*F).AST)));
+ }
+
+ SMTExprRef mkBVSignExt(unsigned i, const SMTExprRef &Exp) override {
+ return newExprRef(Z3Expr(
+ Context, Z3_mk_sign_ext(Context.Context, i, toZ3Expr(*Exp).AST)));
+ }
+
+ SMTExprRef mkBVZeroExt(unsigned i, const SMTExprRef &Exp) override {
+ return newExprRef(Z3Expr(
+ Context, Z3_mk_zero_ext(Context.Context, i, toZ3Expr(*Exp).AST)));
+ }
+
+ SMTExprRef mkBVExtract(unsigned High, unsigned Low,
+ const SMTExprRef &Exp) override {
+ return newExprRef(Z3Expr(Context, Z3_mk_extract(Context.Context, High, Low,
+ toZ3Expr(*Exp).AST)));
+ }
+
+ /// Creates a predicate that checks for overflow in a bitvector addition
+ /// operation
+ SMTExprRef mkBVAddNoOverflow(const SMTExprRef &LHS, const SMTExprRef &RHS,
+ bool isSigned) override {
+ return newExprRef(Z3Expr(
+ Context, Z3_mk_bvadd_no_overflow(Context.Context, toZ3Expr(*LHS).AST,
+ toZ3Expr(*RHS).AST, isSigned)));
+ }
+
+ /// Creates a predicate that checks for underflow in a signed bitvector
+ /// addition operation
+ SMTExprRef mkBVAddNoUnderflow(const SMTExprRef &LHS,
+ const SMTExprRef &RHS) override {
+ return newExprRef(Z3Expr(
+ Context, Z3_mk_bvadd_no_underflow(Context.Context, toZ3Expr(*LHS).AST,
+ toZ3Expr(*RHS).AST)));
+ }
+
+ /// Creates a predicate that checks for overflow in a signed bitvector
+ /// subtraction operation
+ SMTExprRef mkBVSubNoOverflow(const SMTExprRef &LHS,
+ const SMTExprRef &RHS) override {
+ return newExprRef(Z3Expr(
+ Context, Z3_mk_bvsub_no_overflow(Context.Context, toZ3Expr(*LHS).AST,
+ toZ3Expr(*RHS).AST)));
+ }
+
+ /// Creates a predicate that checks for underflow in a bitvector subtraction
+ /// operation
+ SMTExprRef mkBVSubNoUnderflow(const SMTExprRef &LHS, const SMTExprRef &RHS,
+ bool isSigned) override {
+ return newExprRef(Z3Expr(
+ Context, Z3_mk_bvsub_no_underflow(Context.Context, toZ3Expr(*LHS).AST,
+ toZ3Expr(*RHS).AST, isSigned)));
+ }
+
+ /// Creates a predicate that checks for overflow in a signed bitvector
+ /// division/modulus operation
+ SMTExprRef mkBVSDivNoOverflow(const SMTExprRef &LHS,
+ const SMTExprRef &RHS) override {
+ return newExprRef(Z3Expr(
+ Context, Z3_mk_bvsdiv_no_overflow(Context.Context, toZ3Expr(*LHS).AST,
+ toZ3Expr(*RHS).AST)));
+ }
+
+ /// Creates a predicate that checks for overflow in a bitvector negation
+ /// operation
+ SMTExprRef mkBVNegNoOverflow(const SMTExprRef &Exp) override {
+ return newExprRef(Z3Expr(
+ Context, Z3_mk_bvneg_no_overflow(Context.Context, toZ3Expr(*Exp).AST)));
+ }
+
+ /// Creates a predicate that checks for overflow in a bitvector multiplication
+ /// operation
+ SMTExprRef mkBVMulNoOverflow(const SMTExprRef &LHS, const SMTExprRef &RHS,
+ bool isSigned) override {
+ return newExprRef(Z3Expr(
+ Context, Z3_mk_bvmul_no_overflow(Context.Context, toZ3Expr(*LHS).AST,
+ toZ3Expr(*RHS).AST, isSigned)));
+ }
+
+ /// Creates a predicate that checks for underflow in a signed bitvector
+ /// multiplication operation
+ SMTExprRef mkBVMulNoUnderflow(const SMTExprRef &LHS,
+ const SMTExprRef &RHS) override {
+ return newExprRef(Z3Expr(
+ Context, Z3_mk_bvmul_no_underflow(Context.Context, toZ3Expr(*LHS).AST,
+ toZ3Expr(*RHS).AST)));
+ }
+
+ SMTExprRef mkBVConcat(const SMTExprRef &LHS, const SMTExprRef &RHS) override {
+ return newExprRef(
+ Z3Expr(Context, Z3_mk_concat(Context.Context, toZ3Expr(*LHS).AST,
+ toZ3Expr(*RHS).AST)));
+ }
+
+ SMTExprRef mkFPtoFP(const SMTExprRef &From, const SMTSortRef &To) override {
+ SMTExprRef RoundingMode = getFloatRoundingMode();
+ return newExprRef(Z3Expr(
+ Context,
+ Z3_mk_fpa_to_fp_float(Context.Context, toZ3Expr(*RoundingMode).AST,
+ toZ3Expr(*From).AST, toZ3Sort(*To).Sort)));
+ }
+
+ SMTExprRef mkSBVtoFP(const SMTExprRef &From, const SMTSortRef &To) override {
+ SMTExprRef RoundingMode = getFloatRoundingMode();
+ return newExprRef(Z3Expr(
+ Context,
+ Z3_mk_fpa_to_fp_signed(Context.Context, toZ3Expr(*RoundingMode).AST,
+ toZ3Expr(*From).AST, toZ3Sort(*To).Sort)));
+ }
+
+ SMTExprRef mkUBVtoFP(const SMTExprRef &From, const SMTSortRef &To) override {
+ SMTExprRef RoundingMode = getFloatRoundingMode();
+ return newExprRef(Z3Expr(
+ Context,
+ Z3_mk_fpa_to_fp_unsigned(Context.Context, toZ3Expr(*RoundingMode).AST,
+ toZ3Expr(*From).AST, toZ3Sort(*To).Sort)));
+ }
+
+ SMTExprRef mkFPtoSBV(const SMTExprRef &From, unsigned ToWidth) override {
+ SMTExprRef RoundingMode = getFloatRoundingMode();
+ return newExprRef(Z3Expr(
+ Context, Z3_mk_fpa_to_sbv(Context.Context, toZ3Expr(*RoundingMode).AST,
+ toZ3Expr(*From).AST, ToWidth)));
+ }
+
+ SMTExprRef mkFPtoUBV(const SMTExprRef &From, unsigned ToWidth) override {
+ SMTExprRef RoundingMode = getFloatRoundingMode();
+ return newExprRef(Z3Expr(
+ Context, Z3_mk_fpa_to_ubv(Context.Context, toZ3Expr(*RoundingMode).AST,
+ toZ3Expr(*From).AST, ToWidth)));
+ }
+
+ SMTExprRef mkBoolean(const bool b) override {
+ return newExprRef(Z3Expr(Context, b ? Z3_mk_true(Context.Context)
+ : Z3_mk_false(Context.Context)));
+ }
+
+ SMTExprRef mkBitvector(const llvm::APSInt Int, unsigned BitWidth) override {
+ const SMTSortRef Sort = getBitvectorSort(BitWidth);
+ return newExprRef(
+ Z3Expr(Context, Z3_mk_numeral(Context.Context, Int.toString(10).c_str(),
+ toZ3Sort(*Sort).Sort)));
+ }
+
+ SMTExprRef mkFloat(const llvm::APFloat Float) override {
+ SMTSortRef Sort =
+ getFloatSort(llvm::APFloat::semanticsSizeInBits(Float.getSemantics()));
+
+ llvm::APSInt Int = llvm::APSInt(Float.bitcastToAPInt(), false);
+ SMTExprRef Z3Int = mkBitvector(Int, Int.getBitWidth());
+ return newExprRef(Z3Expr(
+ Context, Z3_mk_fpa_to_fp_bv(Context.Context, toZ3Expr(*Z3Int).AST,
+ toZ3Sort(*Sort).Sort)));
+ }
+
+ SMTExprRef mkSymbol(const char *Name, SMTSortRef Sort) override {
+ return newExprRef(
+ Z3Expr(Context, Z3_mk_const(Context.Context,
+ Z3_mk_string_symbol(Context.Context, Name),
+ toZ3Sort(*Sort).Sort)));
+ }
+
+ llvm::APSInt getBitvector(const SMTExprRef &Exp, unsigned BitWidth,
+ bool isUnsigned) override {
+ return llvm::APSInt(
+ llvm::APInt(BitWidth,
+ Z3_get_numeral_string(Context.Context, toZ3Expr(*Exp).AST),
+ 10),
+ isUnsigned);
+ }
+
+ bool getBoolean(const SMTExprRef &Exp) override {
+ return Z3_get_bool_value(Context.Context, toZ3Expr(*Exp).AST) == Z3_L_TRUE;
+ }
+
+ SMTExprRef getFloatRoundingMode() override {
+ // TODO: Don't assume nearest ties to even rounding mode
+ return newExprRef(Z3Expr(Context, Z3_mk_fpa_rne(Context.Context)));
+ }
+
+ bool toAPFloat(const SMTSortRef &Sort, const SMTExprRef &AST,
+ llvm::APFloat &Float, bool useSemantics) {
+ assert(Sort->isFloatSort() && "Unsupported sort to floating-point!");
+
+ llvm::APSInt Int(Sort->getFloatSortSize(), true);
+ const llvm::fltSemantics &Semantics =
+ getFloatSemantics(Sort->getFloatSortSize());
+ SMTSortRef BVSort = getBitvectorSort(Sort->getFloatSortSize());
+ if (!toAPSInt(BVSort, AST, Int, true)) {
+ return false;
+ }
+
+ if (useSemantics && !areEquivalent(Float.getSemantics(), Semantics)) {
+ assert(false && "Floating-point types don't match!");
+ return false;
+ }
+
+ Float = llvm::APFloat(Semantics, Int);
+ return true;
+ }
+
+ bool toAPSInt(const SMTSortRef &Sort, const SMTExprRef &AST,
+ llvm::APSInt &Int, bool useSemantics) {
+ if (Sort->isBitvectorSort()) {
+ if (useSemantics && Int.getBitWidth() != Sort->getBitvectorSortSize()) {
+ assert(false && "Bitvector types don't match!");
+ return false;
+ }
+
+ // FIXME: This function is also used to retrieve floating-point values,
+ // which can be 16, 32, 64 or 128 bits long. Bitvectors can be anything
+ // between 1 and 64 bits long, which is the reason we have this weird
+ // guard. In the future, we need proper calls in the backend to retrieve
+ // floating-points and its special values (NaN, +/-infinity, +/-zero),
+ // then we can drop this weird condition.
+ if (Sort->getBitvectorSortSize() <= 64 ||
+ Sort->getBitvectorSortSize() == 128) {
+ Int = getBitvector(AST, Int.getBitWidth(), Int.isUnsigned());
+ return true;
+ }
+
+ assert(false && "Bitwidth not supported!");
+ return false;
+ }
+
+ if (Sort->isBooleanSort()) {
+ if (useSemantics && Int.getBitWidth() < 1) {
+ assert(false && "Boolean type doesn't match!");
+ return false;
+ }
+
+ Int = llvm::APSInt(llvm::APInt(Int.getBitWidth(), getBoolean(AST)),
+ Int.isUnsigned());
+ return true;
+ }
+
+ llvm_unreachable("Unsupported sort to integer!");
+ }
+
+ bool getInterpretation(const SMTExprRef &Exp, llvm::APSInt &Int) override {
+ Z3Model Model(Context, Z3_solver_get_model(Context.Context, Solver));
+ Z3_func_decl Func = Z3_get_app_decl(
+ Context.Context, Z3_to_app(Context.Context, toZ3Expr(*Exp).AST));
+ if (Z3_model_has_interp(Context.Context, Model.Model, Func) != Z3_L_TRUE)
+ return false;
+
+ SMTExprRef Assign = newExprRef(
+ Z3Expr(Context,
+ Z3_model_get_const_interp(Context.Context, Model.Model, Func)));
+ SMTSortRef Sort = getSort(Assign);
+ return toAPSInt(Sort, Assign, Int, true);
+ }
+
+ bool getInterpretation(const SMTExprRef &Exp, llvm::APFloat &Float) override {
+ Z3Model Model(Context, Z3_solver_get_model(Context.Context, Solver));
+ Z3_func_decl Func = Z3_get_app_decl(
+ Context.Context, Z3_to_app(Context.Context, toZ3Expr(*Exp).AST));
+ if (Z3_model_has_interp(Context.Context, Model.Model, Func) != Z3_L_TRUE)
+ return false;
+
+ SMTExprRef Assign = newExprRef(
+ Z3Expr(Context,
+ Z3_model_get_const_interp(Context.Context, Model.Model, Func)));
+ SMTSortRef Sort = getSort(Assign);
+ return toAPFloat(Sort, Assign, Float, true);
+ }
+
+ Optional<bool> check() const override {
+ Z3_lbool res = Z3_solver_check(Context.Context, Solver);
+ if (res == Z3_L_TRUE)
+ return true;
+
+ if (res == Z3_L_FALSE)
+ return false;
+
+ return Optional<bool>();
+ }
+
+ void push() override { return Z3_solver_push(Context.Context, Solver); }
+
+ void pop(unsigned NumStates = 1) override {
+ assert(Z3_solver_get_num_scopes(Context.Context, Solver) >= NumStates);
+ return Z3_solver_pop(Context.Context, Solver, NumStates);
+ }
+
+ bool isFPSupported() override { return true; }
+
+ /// Reset the solver and remove all constraints.
+ void reset() override { Z3_solver_reset(Context.Context, Solver); }
+
+ void print(raw_ostream &OS) const override {
+ OS << Z3_solver_to_string(Context.Context, Solver);
+ }
+}; // end class Z3Solver
+
+} // end anonymous namespace
+
+#endif
+
+llvm::SMTSolverRef llvm::CreateZ3Solver() {
+#if LLVM_WITH_Z3
+ return std::make_unique<Z3Solver>();
+#else
+ llvm::report_fatal_error("LLVM was not compiled with Z3 support, rebuild "
+ "with -DLLVM_ENABLE_Z3_SOLVER=ON",
+ false);
+ return nullptr;
+#endif
+}
+
+LLVM_DUMP_METHOD void SMTSort::dump() const { print(llvm::errs()); }
+LLVM_DUMP_METHOD void SMTExpr::dump() const { print(llvm::errs()); }
+LLVM_DUMP_METHOD void SMTSolver::dump() const { print(llvm::errs()); }
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