I read about cache optimization in C++ and the mechanisms, modern CPUs use to predict what data is needed next, to copy that into cache. But is there a direct way in C++ for the programmers, who know what actually is needed next, to determine what data gets copied into CPU cache?
This varies with the processor and compiler you're using.
Assuming you're using an Intel x86/x64 or compatible (e.g., AMD) processor, the processor provides a number of prefetch instructions, and most compilers include intrinsics to invoke them. With VC++ you use _m_prefetch or _m_prefetchw. With gcc you use __builtin_prefetch.
Likewise, VC++ on an ARM provides a __prefetch intrinsic for the same purpose (no, I really don't know why they couldn't have used the same name as on x86; the signature and effect appear identical).
Most other reasonably modern, higher-end processors probably provide similar instructions, and I'd guess most compilers provide intrinsics to make them available, but just as with these, the names of the intrinsics will vary. For that matter, even though the functions are intrinsic to the compiler, most require that you include some header to use them -- and the name of the header will also vary.