Starting an entire subroutine with a single momentary button press

Projects Programming
5 
void loop() {  
  buttonState=digitalRead(button_pin);
  if(buttonState==HIGH){
    winding();
    buttonState=0;
}

void winding(){
  Serial.println("IN");
  /*this subprogram should run through until the end, regardless of current button state
   * It should be initiated by a single button press and continue to the end
   */
//    buttonState=digitalRead(button_pin);
//    if (buttonState==HIGH){ //if button has been pressed, proceed 
    currentMillis=millis();

    previousMillis=currentMillis; //get this part to work
    

    if (currentMillis-previousMillis<=10000){//we'll run them all
      digitalWrite(ext_ena,LOW);
      digitalWrite(wind_ena,LOW);
      digitalWrite(mate_ena,LOW);
      digitalWrite(main_ena,LOW);
      digitalWrite(heat_ena,LOW);
      currentMicros=micros();
      
      //see if it's time to make another step
      if ((currentMicros - previousMicros_ext)>=microsBetweenSteps_ext){
        previousMicros_ext += microsBetweenSteps_ext; //add time
        digitalWrite(ext_pul,HIGH);//pulse the stepper
        digitalWrite(ext_pul,LOW);
        currentMillis=millis();//get new time, necessary?
      }