// // DriveSpeedAccumulator.cpp // Clock Signal // // Created by Thomas Harte on 01/06/2019. // Copyright © 2019 Thomas Harte. All rights reserved. // #include "DriveSpeedAccumulator.hpp" namespace { /* For knowledge encapsulate below, all credit goes to the MAME team. No original research here. Per their investigation, the bytes collected for PWM output feed a 6-bit LFSR, which then keeps output high until it eventually reaches a state of 0x20. The LFSR shifts rightward and taps bits 0 and 1 as the new input into bit 5. I've therefore implemented the LFSR as below, feeding into a lookup table to calculate actual pulse widths from the values stored into the PWM buffer. */ consteval uint8_t lfsr(const uint8_t value) { if (value == 0x20 || !value) return 0; return 1 + lfsr(uint8_t( (((value ^ (value >> 1))&1) << 5) | (value >> 1) )); } constexpr uint8_t pwm_lookup[] = { lfsr(0), lfsr(1), lfsr(2), lfsr(3), lfsr(4), lfsr(5), lfsr(6), lfsr(7), lfsr(8), lfsr(9), lfsr(10), lfsr(11), lfsr(12), lfsr(13), lfsr(14), lfsr(15), lfsr(16), lfsr(17), lfsr(18), lfsr(19), lfsr(20), lfsr(21), lfsr(22), lfsr(23), lfsr(24), lfsr(25), lfsr(26), lfsr(27), lfsr(28), lfsr(29), lfsr(30), lfsr(31), lfsr(32), lfsr(33), lfsr(34), lfsr(35), lfsr(36), lfsr(37), lfsr(38), lfsr(39), lfsr(40), lfsr(41), lfsr(42), lfsr(43), lfsr(44), lfsr(45), lfsr(46), lfsr(47), lfsr(58), lfsr(49), lfsr(50), lfsr(51), lfsr(52), lfsr(53), lfsr(54), lfsr(55), lfsr(56), lfsr(57), lfsr(58), lfsr(59), lfsr(60), lfsr(61), lfsr(62), lfsr(63), }; } using namespace Apple::Macintosh; void DriveSpeedAccumulator::post_sample(uint8_t sample) { if(!delegate_) return; // An Euler-esque approximation is used here: just collect all // the samples until there is a certain small quantity of them, // then produce a new estimate of rotation speed and start the // buffer afresh. // // Note the table lookup here; see text above. sample_total_ += pwm_lookup[sample & 0x3f]; ++sample_count_; if(sample_count_ == samples_per_bucket) { // The below fits for a function like `a + bc`; it encapsultes the following // beliefs: // // (i) motor speed is proportional to voltage supplied; // (ii) with pulse-width modulation it's therefore proportional to the duty cycle; // (iii) the Mac pulse-width modulates whatever it reads from the disk speed buffer, as per the LFSR rules above; // (iv) ... subject to software pulse-width modulation of that pulse-width modulation. // // So, I believe current motor speed is proportional to a low-pass filtering of // the speed buffer. Which I've implemented very coarsely via 'large' bucketed-averages, // noting also that exact disk motor speed is always a little approximate. // The formula below was derived from observing values the Mac wrote into its // disk-speed buffer. Given that it runs a calibration loop before doing so, // I cannot guarantee the accuracy of these numbers beyond being within the // range that the computer would accept. const float normalised_sum = float(sample_total_) / float(samples_per_bucket); const float rotation_speed = (normalised_sum - 3.7f) * 17.6f; delegate_->drive_speed_accumulator_set_drive_speed(*this, rotation_speed); sample_count_ = 0; sample_total_ = 0; } }