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Forums > C64 Coding > Accurately Measuring Drive RPM
2020-08-03 16:07
chatGPZ

Registered: Dec 2001
Posts: 11379
Accurately Measuring Drive RPM

To bring the discussion from 1541 Speed Test into the forum....

first lets recapitulate:

The general idea is: have a "marker" on a track, then measure the time for one revolution using timers. Generally there are different ways to achieve this:

- wait for the marker and toggle a IEC line. the C64 measures the time using CIA timer. this is what eg the well known "Kwik Load" copy does, the problem is that it is PAL/NTSC specific, and it can never be 100% exact due to the timing drift between drive and C64.

- wait for the marker and measure the time using VIA timers on the drive. the problem with this is that VIA timers are only 16bit and can not be cascaded, so you either have to measure smaller portions at a time, or rely on the wraparound and the value being in certain bounds at the time you read it.

now, to make either way slightly more accurate, a special kind of reference track can be used. typically this track will contain nothing except one marker - which makes the code a bit simpler and straightforward. this is what 1541 Speed Test does. the DOS also does something similar when formatting, to calculate the gaps. This obviosly has the problem that we are overwriting said track.

Now - the question isn't how to do all this, that's a solved problem. The question is, given a specific implementation, how *accurate* is it actually, and why?

The basic math to calculate the RPM is this:

expected ideal:
300 rounds per minute
= 5 rounds per second
= 200 milliseconds per round
at 1MHz (0,001 milliseconds per clock)
= 200000 cycles per round

to calculate RPM from cycles per round:
RPM = (200000 * 300) / cycles

two little test programs are here: https://sourceforge.net/p/vice-emu/code/HEAD/tree/testprogs/dri.. ... the first reads timer values between each sector header and then the total time for a revolution is accumulated from the delta times. the second leaves the timer running for one revolution and then indirectly gets the time for a revolution from that. to my own surprise, both appear to be accurate down to 3 cycles (in theory the second one should be more accurate, at least thats what i thought. i also expected some more jitter than just 3 cycles)

1541 Speed Test writes a track that contains one long sync, and then 5 regular bytes which serve as the marker. it then reads 6 bytes and measures the time that takes, which equals one revolution. somehow this produces a stable value without any jitter, which was a bit surprising to me too (i expected at least one cycle jitter, due to the sync waiting loops) (i am waiting for the source release and will put a derived test into the vice repo too)

So, again, the question is... how accurate are those and why? (a stable value alone does not tell its accurate). Some details are not quite clear to me, eg if we are writing a reference track, how much will that affect the accuracy of the following measurement? how will the result change when the reference track was written at a different speed than when doing the measuring? Will using a certain speedzone make it more or less accurate?

Bonus question: can we use https://en.wikipedia.org/wiki/Chinese_remainder_theorem with two VIA timers to make this more accurate? or is it a pointless exercise?
 
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2020-08-12 21:31
chatGPZ

Registered: Dec 2001
Posts: 11379
They also dig jittering =D
2020-08-12 22:06
Krill

Registered: Apr 2002
Posts: 2971
Quoting tlr
As for the accuracy of the crystals, I think the most interesting thing it could be used for is calibrating a transfer routine for a much faster block transfer, c64 to/from drive.
Please do elaborate. :)
2020-08-12 23:11
Zibri
Account closed

Registered: May 2020
Posts: 304
Small update:
I finally had time to do some testing of "rpm4.prg" and as I thoretically suspected, it works but it "misbehaves" if the speed difference is too big.
Starting the test att 300 gives bad results below 260 and vice versa.
This does not happen with the official version.
The official version does not "wait for a certain byte" to pass (like many of you implied) and it works.
RPM4.prg instead awaits for a certain byte to pass and it fails like many other programs out there.
2020-08-13 01:15
Copyfault

Registered: Dec 2001
Posts: 476
Quoting Zibri
Small update:
I finally had time to do some testing of "rpm4.prg" and as I thoretically suspected, it works but it "misbehaves" if the speed difference is too big.
Starting the test att 300 gives bad results below 260 and vice versa.
This does not happen with the official version.
The official version does not "wait for a certain byte" to pass (like many of you implied) and it works.
RPM4.prg instead awaits for a certain byte to pass and it fails like many other programs out there.
Hoping to not stir up the heat even more, may I ask for a brief explanation on how the updated version differs from the previous "official" version? I read smth about "wait for a certain byte", so I'd suggest rpm4.prg does the measurement based on receiving a certain trigger-byte whereas the original tool did it solely based on interpreting the timer in a special way. So is it correct to say rpm4.prg uses a variable position on the track while the other always sticks to a full revolution?

It would be good to have the full sourcecodes of your tools; there was some basic code-style before, but full (and documented) sources are ofcourse better (and would've prevented most of (if not all) the dispute in this very thread;)).


But maybe I'm just too impatient and it's all part of the document you are working on, so take it as a well-meant suggestion.
2020-08-13 02:07
ChristopherJam

Registered: Aug 2004
Posts: 1409
Quoting Krill
Quoting tlr
As for the accuracy of the crystals, I think the most interesting thing it could be used for is calibrating a transfer routine for a much faster block transfer, c64 to/from drive.
Please do elaborate. :)


Well, if the ratio of the drive and c64 crystals was sufficiently precise, you could eschew syncing every few bits by using a Bresenham like variable loop length.

Sadly my experiments in that direction have not been promising.
2020-08-13 02:15
ChristopherJam

Registered: Aug 2004
Posts: 1409
Quoting Zibri

RPM4.prg instead awaits for a certain byte to pass and it fails like many other programs out there.


FWIW, I've found "waiting for a certain block" does indeed miss occasionally, which is why RPM Test 1.0 checks that the time it's measured falls below a threshhold so it can reject values that imply that the disk has rotated more than four times, and retry until it gets something useful

With that in place, I've never seen surprising values from real drives, though admittedly I'm reporting a lot less often than 1541 Speed Test.
2020-08-13 08:50
tlr

Registered: Sep 2003
Posts: 1787
Quoting ChristopherJam
Quoting Krill
Quoting tlr
As for the accuracy of the crystals, I think the most interesting thing it could be used for is calibrating a transfer routine for a much faster block transfer, c64 to/from drive.
Please do elaborate. :)


Well, if the ratio of the drive and c64 crystals was sufficiently precise, you could eschew syncing every few bits by using a Bresenham like variable loop length.

Sadly my experiments in that direction have not been promising.

Something like that, yes. We measure the difference between the c64 and drive clock at init and "dead reckon" basically. I would go about it by inserting static timing adjustment after every n bit pairs. Though, that graph Unseen measured of the deviation during running might make it necessary to re-calibrate. Maybe just check how far in cycles we are off after a couple of block transfers and adjust if too different?
2020-08-13 09:31
Zibri
Account closed

Registered: May 2020
Posts: 304
Quoting Copyfault
Quoting Zibri
Small update:
I finally had time to do some testing of "rpm4.prg" and as I thoretically suspected, it works but it "misbehaves" if the speed difference is too big.
Starting the test att 300 gives bad results below 260 and vice versa.
This does not happen with the official version.
The official version does not "wait for a certain byte" to pass (like many of you implied) and it works.
RPM4.prg instead awaits for a certain byte to pass and it fails like many other programs out there.
Hoping to not stir up the heat even more, may I ask for a brief explanation on how the updated version differs from the previous "official" version? I read smth about "wait for a certain byte", so I'd suggest rpm4.prg does the measurement based on receiving a certain trigger-byte whereas the original tool did it solely based on interpreting the timer in a special way. So is it correct to say rpm4.prg uses a variable position on the track while the other always sticks to a full revolution?

It would be good to have the full sourcecodes of your tools; there was some basic code-style before, but full (and documented) sources are ofcourse better (and would've prevented most of (if not all) the dispute in this very thread;)).


But maybe I'm just too impatient and it's all part of the document you are working on, so take it as a well-meant suggestion.

My mistake.
All versions "fail" below 260 but for a different reason.
It's the timer overflowing one more time.
I could correct that, but sincerely I don't care much since if the speed is so low the drive won't be usable for anything. Infact I tested the program with the emulator which goes from 275 to 325.
Strangely enough it doesn't seem to skip the byte in "rpm4".

About the method the "official" version uses:
it writes 5 bytes on track 36 which is previously filled by all "1", thus interrupting the ones at a certain point.
The timing routine waits for one byte then reads 5 more bytes. This guarantees a full revolution, no matter what byte is read.
"rpm4" instead waits for a single "known" byte on track 35 (or on the differently written track 36) and time its passage.
So, in case of a bit error, the official version won't flinch but rpm4 "should".
I quoted "should" because after a few tests with real hardware, this didn't happen.

Quoting ChristopherJam
though admittedly I'm reporting a lot less often than 1541 Speed Test.


I used the same checks and even more cheks in a preliminary version.
But after a code rewrite I didn't see this happening anymore.
Please, do check both RPM.prg and RPM4.prg (from github page) and tell me if you see this happening.
In my tests everything is fine in the range 275 (and down to 261) to 325 rpm.
2020-08-13 14:21
chatGPZ

Registered: Dec 2001
Posts: 11379
Quote:
Maybe just check how far in cycles we are off after a couple of block transfers and adjust if too different?

maybe (getting wild here) put a sync pattern like you suggested before on each track (somewhere in the tail gap perhaps?) and use that to resync?
2020-08-13 16:09
tlr

Registered: Sep 2003
Posts: 1787
Quoting Groepaz
Quote:
Maybe just check how far in cycles we are off after a couple of block transfers and adjust if too different?

maybe (getting wild here) put a sync pattern like you suggested before on each track (somewhere in the tail gap perhaps?) and use that to resync?

Was more thinking of dead reckoning on the IEC bus only. I guess it could be possible to sync to the track data but I think that in practice it would always wobble too much.
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