================
@@ -0,0 +1,49 @@
+//===--- VirtualArithmeticCheck.cpp - 
clang-tidy---------------------------===//
+//
+// 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 "VirtualArithmeticCheck.h"
+#include "clang/AST/ASTContext.h"
+#include "clang/ASTMatchers/ASTMatchFinder.h"
+
+using namespace clang::ast_matchers;
+
+namespace clang::tidy::bugprone {
+
+void VirtualArithmeticCheck::registerMatchers(MatchFinder *Finder) {
+  const auto PointerExprWithVirtualMethod =
+      expr(hasType(pointerType(pointee(hasDeclaration(
+               cxxRecordDecl(hasMethod(isVirtualAsWritten())))))))
+          .bind("pointer");
+
+  const auto ArraySubscript =
+      arraySubscriptExpr(hasBase(PointerExprWithVirtualMethod));
+
+  const auto BinaryOperators =
+      binaryOperator(hasAnyOperatorName("+", "-", "+=", "-="),
+                     hasEitherOperand(PointerExprWithVirtualMethod));
+
+  const auto UnaryOperators =
+      unaryOperator(hasAnyOperatorName("++", "--"),
+                    hasUnaryOperand(PointerExprWithVirtualMethod));
+
+  Finder->addMatcher(
+      expr(anyOf(ArraySubscript, BinaryOperators, UnaryOperators)), this);
----------------
5chmidti wrote:

Creating this matcher
```c++
AST_MATCHER(CXXRecordDecl, isAbstract) { return Node.isAbstract(); }
```
will provide a way to transitively know if a record is abstract, i.e. if any 
pure virtual function was not overridden, which is a guaranteed way to find out 
if it should be considered polymorphic. The matcher can simply be added inside 
an `anyOf` together with the `hasMethod` in both pointer expr matchers 
(`anyOf(isAbstract(), hasMethod(...))`). (I realize I didn't even mention 
`isAbstract` in the above comment in the inheritance part, which was the whole 
reason for that section)

Also, please move the `unless(isFinal())` matcher before the `hasMethod` 
matcher for slightly better performance.

https://github.com/llvm/llvm-project/pull/91951
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