#if vs #ifndef vs #ifdef

My problem is first of all, understanding #ifndef and #ifdef. I also want to understand the difference between #if, #ifndef , and #ifdef. I understand that #if is basically an if statement. For example:

#include <iostream>

#define LINUX_GRAPHICS 011x101

int main() {
    long Compare = LINUX_GRAPHICS;
    #if Compare == LINUX_GRAPHICS
        std::cout << "True" << std::endl;
    #endif
}

But the others, although I read about them, I can't comprehend. They also seem like very similar terms, but I doubt they work similarly.

Macros are expanded by the preprocessor who doesn't know anything about values of variables during runtime. It is only about textual replacement (or comparing symbols known to the preprocessor). Your line

#if Compare == LINUX_GRAPHICS

will expand to

#if Compare == 011x101

and as "Compare" is different from "011x101", it evaluates to false. Actually I am not even 100% sure about that, but the point is: you are mixing preprocessor directives with variables that are evaluated at runtime. That is non-sense. Preprocessor directives are not there to replace C++ statements.

For most traditional use cases of macros there are better way nowadays. If you don't really need to use macros, it is better not to use them. It makes it extremely hard to read the code (eg. I don't understand how that macros in your code work and unless I really need it honestly I don't want to know :P) and there are other problems with macros that can lead to very hard to find bugs in your program. Before using macros I would advice you to first consider if there isn't a more natural C++ way of achieving the same.

PS:

#ifdef SYMBOL
    ifdef = "if defined"
    this part of the code is excluded before the compiler even sees it
    if SYMBOL is not defined (via #define)
#endif

#ifndef SYMBOL
    ifndef = "if not defined"
    this part of the code is excluded before the compiler even sees it
    if SYMBOL is defined (via #define)
#endif

I wrote "excluded" on purpose to emphasize the bad impact it has on readability of your code. If you overuse #ifdef or #ifndef inside normal blocks of code, it will be extremely hard to read.