If statement in Switch Case Problem

Using Arduino Programming Questions
#1

I am trying to program an arduino due to send a pulse when it receives a signal at the first time it sees it high, then sends a pulse approximately 1 second after the last detected high of the signal. The second part works as when I lower the amplitude to 0 volts, the due sends a pulse out for any duration and does not send anything else. However, the due continuously sends the pulse for when it sees the signal is high, but I only need to do that once. I attached the current program that I have been using.

INS_Run_Marker_Dylan.ino (939 Bytes)

#2 
    switch (buttonState) {
      case LOW:
        while (buttonState == LOW && timer < 1001 && X == 0)
        {
          timer = timer + 1;
          delay(1);
          if (buttonState == LOW && timer == 1000)
          {
            digitalWrite(OUT, HIGH);
            delay(1000);
            digitalWrite(OUT, LOW);
            X = 1;
          }
          else {
            X = 0;
          }
        }
        timer = 0;
        break;
      default:
        if (buttonState == HIGH)
        {

Since you never overwrite the value in buttonState, if it enters the case LOW: section, buttonState is CLEARLY LOW, so testing for LOW again is pointless.

If it is NOT LOW, there is not a snowball’s chance in hell of it being anything other then HIGH, so again it is pointless to check.

#3