gistfile1.txt

 // Called a great many times per second, to step if we have to now
inline void tick() {
  // increase the ( fixed point ) counter by one tick 11t
  fx_counter += (uint32_t)(1<<16);
  // if we are to step now 10t
  if (fx_counter >= fx_ticks_per_step)
    step();
  };
}

becomes

 // Called a great many times per second, to step if we have to now
inline void tick() {
  // increase the ( fixed point ) counter by one tick 11t
  fx_counter += fx_steps_per_tick
  // if we are to step now 10t
  if (fx_counter >= 2^32 or whatever)
    step();
  };
}

tick(){
counter += 1
if( counter >= target ){
do a step
counter -= target
}
}

becomes :
tick(){
counter += increment
if( counter >= 1 ){
do a step
counter -= 1
}
}