JUST STARTING

Virtual Particles Simulator v1.0 - code serie k5 - was compiled under Windows 10 with Visual Studio 2017. I programmed it in standard C++ using for graphical output the Allegro 5.2.4 library. That multimedia library is (with difference!) the one I prefer for the kind of things I like to do. It is not very big, it is not very complicated to learn, and it's not very difficult to use. And, very important, let the C++ language be. Also, doesn't take, or overtake the natural functions of the C++ language, letting a good equilibrium on the code, between standard C++, and specific library-functions, for VPS, just the graphical output, and the events-management, like timer, keyboard and video-output. The philosophy behind VPS is to try to implement a computer application letting to visualize and precise calculate trajectories of systems of interacting particles at real-time, at any scale, using classical dynamics, in this case, the universal gravitation's law of Newton, and the Coulomb's electrical force law, applying the second law of Newton to calculate the acceleration - that is, the change on the velocity of the particles. This first version of the project, has many limitations, specially, when increasing the number of particles >100, the computer has many problems to manage the memory, taking in account, that VPSIM uses a dynamical matrix for the particles, and another dynamical matrix for their interactions-processor between any of them against each other.
To understand that, take an example. With 3-particles the particles-matrix size is just 3. The processors-matrix contains their mutual interactions, also M={a,b,c}, and PM={ab,ac,bc} accounting their mutual-interactions. In general, for n-particles the size of M is n, and the size of PM is equal to the number of combinations of n-particles taken as pairs, just C(n,2). For 3-particles, C(3,2)=3 processors, but for example, for 100-particles, the size of the processors matrix would be C(100,2)=4950. Note that C(n,k)=binom(n,k) the binomial-coefficient. It's evident that "normal" computers can have important difficulties to simulate systems involving more that 100 particles. A way to solve that problem, can be to use not directly the particles objects, or the processors objects, but their memory-addresses, their pointers. That is where C++ can be brilliant to do the job.