Question

What is the (non-trivial) difference between the following two x86 instructions?

39 /r    CMP r/m32,r32   Compare r32 with r/m32
3B /r    CMP r32,r/m32   Compare r/m32 with r32

Background

I'm building a Java assembler, which will be used by my compiler's intermediate language to produce Windows-32 executables.

Currently I have following code:

final ModelBase mb = new ModelBase(); // create new memory model
mb.addCode(new Compare(Register.ECX, Register.EAX)); // add code
mb.addCode(new Compare(Register.EAX, Register.ECX)); // add code

final FileOutputStream fos = new FileOutputStream(new File("test.exe"));
mb.writeToFile(fos);
fos.close();

To output a valid executable file, which contains two CMP instruction in a TEXT-section. The executable outputted to "text.exe" will do nothing interesting, but that's not the point. The class Compare is a wrapper around the CMP instruction.

The above code produces (inspecting with OllyDbg):

Address   Hex dump                 Command
0040101F  |.  3BC8                 CMP ECX,EAX
00401021  |.  3BC1                 CMP EAX,ECX

The difference is subtle: if I use the 39 byte-opcode:

Address   Hex dump                 Command
0040101F  |.  39C1                 CMP ECX,EAX
00401021  |.  39C8                 CMP EAX,ECX

Which makes me wonder about their synonymity and why this even exists.