How to user timer interrupts for times longer than can TNCTx can keep track of?

Question

I am trying to program my Arduino Mega 2560 to effectively create a PWM signal on any digital pin using timer interrupts and timer1. The pins will pulse a finite amount of times (not indefinitely). I am first trying this with a 256-prescaler value, which I believe means that each increment of my TCNT1 is 16.0 microseconds, and since it is a 16-bit register, it can reach a max. value of 1048567 microseconds.

I am designing the program so that the period and duty cycle are changed by Serial commands that the user can send (I already have that part figured out). I am using clear timer on compare mode and OCR1A and OCR1B to toggle the digital pin between HIGH and LOW.

If the desired period is less than 1048567 microseconds, I can divide the period by the modified clock (modified by the prescaler) to figure out the OCR1A value, and then based on the desired duty cycle, calculate OCR1B. Then I set the ISR vectors for A and B to toggle the pin and count down until the desired number of cycles is completed.

What I would like to also allow the user to do is set periods/duty cycles that would be longer than 1048567 microseconds, but I'm not sure how to accomplish that. For example, if I wanted to have the pin be HIGH for 2 seconds with a total period of 10 seconds, I would choose values for OCR1B and OCR1A that, through the ISR(TIMER1_COMPA_vect) and ISR(TIMER1_COMPB_vect), I could keep track (through a counter variable) of how many interrupts had occurred. If enough interrupts had occurred to equal the time of that the pin had to be HIGH and/or LOW, the ISRs would actually trigger the toggling of the pin (instead of just counting the number of interrupts).

How could I choose the OCR1B and OCR1A values that would accomplish this optimally? Is it reasonable to keep track of time this way as a workaround to the limitation of the timer counter max value? I am open to any suggestion and I appreciate any input. Thank you.

• Nick Gammon: What sort of precision do you want? For something like 2 seconds on and 5 seconds off, I would have thought that simply toggling a pin by checking if time is up in the main loop would do it.

Answer 1

By maintaining your own second-level prescaler you can quite easily keep track of longer periods.

The most efficient method is to use a "divide and multiply by two" scheme.

---

1. Start with a custom pre-scaler of 1.
2. While the count period is> 65535:
   1. Multiply the pre-scaler by 2.
   2. Divide the count period by 2

---

uint16_t ps = 1;
uint32_t period = 429864;
while (period > 65535) {
 ps <<= 1;
 period >>= 1;
}

Then you can load the count period register with the now divided count period and use a variable to count the number of times the interrupt has been triggered. When it equals your custom pre-scaler value you reset the count to 0 and run your actual interrupt routine.

The left and right shifts multiply by two and divide by two respectively in a very efficient manner. Far more than multiplying by 10, or dividing the period by 65536 and using that as a prescaler.