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- //===- ThreadSafetyLogical.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
- //
- //===----------------------------------------------------------------------===//
- // This file defines a representation for logical expressions with SExpr leaves
- // that are used as part of fact-checking capability expressions.
- //===----------------------------------------------------------------------===//
- #include "clang/Analysis/Analyses/ThreadSafetyLogical.h"
- using namespace llvm;
- using namespace clang::threadSafety::lexpr;
- // Implication. We implement De Morgan's Laws by maintaining LNeg and RNeg
- // to keep track of whether LHS and RHS are negated.
- static bool implies(const LExpr *LHS, bool LNeg, const LExpr *RHS, bool RNeg) {
- // In comments below, we write => for implication.
- // Calculates the logical AND implication operator.
- const auto LeftAndOperator = [=](const BinOp *A) {
- return implies(A->left(), LNeg, RHS, RNeg) &&
- implies(A->right(), LNeg, RHS, RNeg);
- };
- const auto RightAndOperator = [=](const BinOp *A) {
- return implies(LHS, LNeg, A->left(), RNeg) &&
- implies(LHS, LNeg, A->right(), RNeg);
- };
- // Calculates the logical OR implication operator.
- const auto LeftOrOperator = [=](const BinOp *A) {
- return implies(A->left(), LNeg, RHS, RNeg) ||
- implies(A->right(), LNeg, RHS, RNeg);
- };
- const auto RightOrOperator = [=](const BinOp *A) {
- return implies(LHS, LNeg, A->left(), RNeg) ||
- implies(LHS, LNeg, A->right(), RNeg);
- };
- // Recurse on right.
- switch (RHS->kind()) {
- case LExpr::And:
- // When performing right recursion:
- // C => A & B [if] C => A and C => B
- // When performing right recursion (negated):
- // C => !(A & B) [if] C => !A | !B [===] C => !A or C => !B
- return RNeg ? RightOrOperator(cast<And>(RHS))
- : RightAndOperator(cast<And>(RHS));
- case LExpr::Or:
- // When performing right recursion:
- // C => (A | B) [if] C => A or C => B
- // When performing right recursion (negated):
- // C => !(A | B) [if] C => !A & !B [===] C => !A and C => !B
- return RNeg ? RightAndOperator(cast<Or>(RHS))
- : RightOrOperator(cast<Or>(RHS));
- case LExpr::Not:
- // Note that C => !A is very different from !(C => A). It would be incorrect
- // to return !implies(LHS, RHS).
- return implies(LHS, LNeg, cast<Not>(RHS)->exp(), !RNeg);
- case LExpr::Terminal:
- // After reaching the terminal, it's time to recurse on the left.
- break;
- }
- // RHS is now a terminal. Recurse on Left.
- switch (LHS->kind()) {
- case LExpr::And:
- // When performing left recursion:
- // A & B => C [if] A => C or B => C
- // When performing left recursion (negated):
- // !(A & B) => C [if] !A | !B => C [===] !A => C and !B => C
- return LNeg ? LeftAndOperator(cast<And>(LHS))
- : LeftOrOperator(cast<And>(LHS));
- case LExpr::Or:
- // When performing left recursion:
- // A | B => C [if] A => C and B => C
- // When performing left recursion (negated):
- // !(A | B) => C [if] !A & !B => C [===] !A => C or !B => C
- return LNeg ? LeftOrOperator(cast<Or>(LHS))
- : LeftAndOperator(cast<Or>(LHS));
- case LExpr::Not:
- // Note that A => !C is very different from !(A => C). It would be incorrect
- // to return !implies(LHS, RHS).
- return implies(cast<Not>(LHS)->exp(), !LNeg, RHS, RNeg);
- case LExpr::Terminal:
- // After reaching the terminal, it's time to perform identity comparisons.
- break;
- }
- // A => A
- // !A => !A
- if (LNeg != RNeg)
- return false;
- // FIXME -- this should compare SExprs for equality, not pointer equality.
- return cast<Terminal>(LHS)->expr() == cast<Terminal>(RHS)->expr();
- }
- namespace clang {
- namespace threadSafety {
- namespace lexpr {
- bool implies(const LExpr *LHS, const LExpr *RHS) {
- // Start out by assuming that LHS and RHS are not negated.
- return ::implies(LHS, false, RHS, false);
- }
- }
- }
- }
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