which do you like better? else if on the same bracket line or on their own new line?

abstar.cff.cpp

void ABStar::Final() {
	platform->enter_state();

	if ( platform->get_nextChar() == 'a' ) {
		platform->set_outputBuffer("In Final, found A");
		platform->next_state();
		NeedB();
	} else if ( platform->get_nextChar() != '\0' ) {
		platform->set_outputBuffer("In Final, found something other than B");
		platform->next_state();
		Error();
	} else if ( platform->get_nextChar() == '\0' ) {
		platform->set_outputBuffer("In Final, exiting.");
		platform->next_state();
	} 
}

// -- ^^^ new ^^^ -- ;; no extra parentheses

void ABStar::Final() {
  platform->enter_state();

	if (( platform->get_nextChar() == 'a' )) {
		platform->set_outputBuffer("In Final, found A");
		platform->next_state();
		NeedB();
	} else if (( platform->get_nextChar() != '\0' )) {
		platform->set_outputBuffer("In Final, found something other than B");
		platform->next_state();
		Error();
	} else if (( platform->get_nextChar() == '\0' )) {
		platform->set_outputBuffer("In Final, exiting.");
		platform->next_state();
	} 
}

// -- or --

void ABStar::Final() {
  platform->enter_state();

	if (( platform->get_nextChar() == 'a' )) {
		platform->set_outputBuffer("In Final, found A");
		platform->next_state();
		NeedB();
	}
	else if (( platform->get_nextChar() != '\0' )) {
		platform->set_outputBuffer("In Final, found something other than B");
		platform->next_state();
		Error();
	}
	else if (( platform->get_nextChar() == '\0' )) {
		platform->set_outputBuffer("In Final, exiting.");
		platform->next_state();
	}
}