Comments(/*...*/) longer than one line - c

Question

I am supposed to count the /*...*/ comments in a file and I was wondering if this code is right or am I missing something out?
My Code
void commentsLongerThanOneLine(FILE* inputStream, FILE* outputStream) {
int count = 0, c, state = 1;
while ((c = fgetc(inputStream) != EOF)) {
switch (state) {
case 1: switch (c) {
case '/': state = 2; break;
}
break;
case 2: switch (c) {
case '/': state = 3; break;
case '*': state = 4; break;
default: state = 1;
}
break;
case 3: switch (c) {
case '\n': state = 1; break;
default: state = 4; count++;
}
break;
case 4:switch (c) {
case'*': if (c == '\n') count++; break;
default: state = 4; if (c == '\n') count++;
}
}
}
fprintf(outputStream, "Comments longer than one line: %d\n", count);
}