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Can the identity of the function that needs to be called be determined at compile-time?

() Assume the following class definitions: for a shape s, which may be a circle or a square at runtime, and the appropriate move function will be called depending on the runtime type of s. As we have seen, this is one of the essential features of object-oriented programming languages. Now, suppose that we also want to define a sort of conversion function that will reshape one shapes into another, for example a square into a circle or a circle into a square. In particular, we want to define a virtual function in shape: virtual shape reshape(shape&); And in square we want to define: rectangle shape reshape(circle&); And in circle we want to define: circle reshape(rectangle&); What is the difference between reshape and move? Can a call s. reshape(s) be statically checked for consistency? Can the identity of the function that needs to be called be determined at compile-time? If not, what is necessary to be able to call the right function at runtime? Does the usual virtual function table mechanism be used?

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