What is exactly the base pointer and stack pointer? To what do they point?

esp is as you say it is, the top of the stack.

ebp is usually set to esp at the start of the function. Function parameters and local variables are accessed by adding and subtracting, respectively, a constant offset from ebp. All x86 calling conventions define ebp as being preserved across function calls. ebp itself actually points to the previous frame's base pointer, which enables stack walking in a debugger and viewing other frames local variables to work.

Most function prologs look something like:

push ebp      ; Preserve current frame pointer
mov ebp, esp  ; Create new frame pointer pointing to current stack top
sub esp, 20   ; allocate 20 bytes worth of locals on stack.

Then later in the function you may have code like (presuming both local variables are 4 bytes)

mov [ebp-4], eax    ; Store eax in first local
mov ebx, [ebp - 8]  ; Load ebx from second local

FPO or frame pointer omission optimization which you can enable will actually eliminate this and use ebp as another register and access locals directly off of esp, but this makes debugging a bit more difficult since the debugger can no longer directly access the stack frames of earlier function calls.

EDIT:

For your updated question, the missing two entries in the stack are:

var_C = dword ptr -0Ch
var_8 = dword ptr -8
var_4 = dword ptr -4
*savedFramePointer = dword ptr 0*
*return address = dword ptr 4*
hInstance = dword ptr  8h
PrevInstance = dword ptr  0C
hlpCmdLine = dword ptr  10h
nShowCmd = dword ptr  14h

This is because the flow of the function call is:

Push parameters (hInstance, etc.)

Call function, which pushes return address

Push ebp

Allocate space for locals

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ESP is the current stack pointer, which will change any time a word or address is pushed or popped onto/off off the stack. EBP is a more convenient way for the compiler to keep track of a function's parameters and local variables than using the ESP directly.

Generally (and this may vary from compiler to compiler), all of the arguments to a function being called are pushed onto the stack by the calling function (usually in the reverse order that they're declared in the function prototype, but this varies). Then the function is called, which pushes the return address (EIP) onto the stack.

Upon entry to the function, the old EBP value is pushed onto the stack and EBP is set to the value of ESP. Then the ESP is decremented (because the stack grows downward in memory) to allocate space for the function's local variables and temporaries. From that point on, during the execution of the function, the arguments to the function are located on the stack at positive offsets from EBP (because they were pushed prior to the function call), and the local variables are located at negative offsets from EBP (because they were allocated on the stack after the function entry). That's why the EBP is called the Frame Pointer, because it points to the center of the function call frame.

Upon exit, all the function has to do is set ESP to the value of EBP (which deallocates the local variables from the stack, and exposes the entry EBP on the top of the stack), then pop the old EBP value from the stack, and then the function returns (popping the return address into EIP).

Upon returning back to the calling function, it can then increment ESP in order to remove the function arguments it pushed onto the stack just prior to calling the other function. At this point, the stack is back in the same state it was in prior to invoking the called function.

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You have it right. The stack pointer points to the top item on the stack and the base pointer points to the "previous" top of the stack before the function was called.

When you call a function, any local variable will be stored on the stack and the stack pointer will be incremented. When you return from the function, all the local variables on the stack go out of scope. You do this by setting the stack pointer back to the base pointer (which was the "previous" top before the function call).

Doing memory allocation this way is very, very fast and efficient.

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EDIT: For a better description, see x86 Disassembly/Functions and Stack Frames in a WikiBook about x86 assembly. I try to add some info you might be interested in using Visual Studio.

Storing the caller EBP as the first local variable is called a standard stack frame, and this may be used for nearly all calling conventions on Windows. Differences exist whether the caller or callee deallocates the passed parameters, and which parameters are passed in registers, but these are orthogonal to the standard stack frame problem.

Speaking about Windows programs, you might probably use Visual Studio to compile your C++ code. Be aware that Microsoft uses an optimization called Frame Pointer Omission, that makes it nearly impossible to do walk the stack without using the dbghlp library and the PDB file for the executable.

This Frame Pointer Omission means that the compiler does not store the old EBP on a standard place and uses the EBP register for something else, therefore you have hard time finding the caller EIP without knowing how much space the local variables need for a given function. Of course Microsoft provides an API that allows you to do stack-walks even in this case, but looking up the symbol table database in PDB files takes too long for some use cases.

To avoid FPO in your compilation units, you need to avoid using /O2 or need to explicitly add /Oy- to the C++ compilation flags in your projects. You probably link against the C or C++ runtime, which uses FPO in the Release configuration, so you will have hard time to do stack walks without the dbghlp.dll.

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First of all, the stack pointer points to the bottom of the stack since x86 stacks build from high address values to lower address values. The stack pointer is the point where the next call to push (or call) will place the next value. It's operation is equivalent to the C/C++ statement:

 // push eax
 --*esp = eax
 // pop eax
 eax = *esp++;

 // a function call, in this case, the caller must clean up the function parameters
 move eax,some value
 push eax
 call some address  // this pushes the next value of the instruction pointer onto the
                    // stack and changes the instruction pointer to "some address"
 add esp,4 // remove eax from the stack

 // a function
 push ebp // save the old stack frame
 move ebp, esp
 ... // do stuff
 pop ebp  // restore the old stack frame
 ret

The base pointer is top of the current frame. ebp generally points to your return address. ebp+4 points to the first parameter of your function (or the this value of a class method). ebp-4 points to the first local variable of your function, usually the old value of ebp so you can restore the prior frame pointer.

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Long time since I've done Assembly programming, but this link might be useful...

The processor has a collection of registers which are used to store data. Some of these are direct values while others are pointing to an area within RAM. Registers do tend to be used for certain specific actions and every operand in assembly will require a certain amount of data in specific registers.

The stack pointer is mostly used when you're calling other procedures. With modern compilers, a bunch of data will be dumped first on the stack, followed by the return address so the system will know where to return once it's told to return. The stack pointer will point at the next location where new data can be pushed to the stack, where it will stay until it's popped back again.

Base registers or segment registers just point to the address space of a large amount of data. Combined with a second regiser, the Base pointer will divide the memory in huge blocks while the second register will point at an item within this block. Base pointers therefor point to the base of blocks of data.

Do keep in mind that Assembly is very CPU specific. The page I've linked to provides information about different types of CPU's.

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