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+/*
+ * Copyright (C) 2016 The Android Open Source Project
+ *
+ * Licensed under the Apache License, Version 2.0 (the "License");
+ * you may not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * http://www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an "AS IS" BASIS,
+ * WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#import "DragLatencyController.h"
+
+#import <dispatch/dispatch.h>
+#import <math.h>
+#import <numeric>
+#import <vector>
+
+#import "UIAlertView+Extensions.h"
+#import "WALTAppDelegate.h"
+#import "WALTClient.h"
+#import "WALTLogger.h"
+#import "WALTTouch.h"
+
+static const NSTimeInterval kGoalpostFrequency = 0.55; // TODO(pquinn): User-configurable settings.
+static const NSUInteger kMinTouchEvents = 100;
+static const NSUInteger kMinLaserEvents = 8;
+static const char kWALTLaserTag = 'L';
+
+@interface WALTLaserEvent : NSObject
+@property (assign) NSTimeInterval t;
+@property (assign) int value;
+@end
+
+@implementation WALTLaserEvent
+@end
+
+/** Linear interpolation between x0 and x1 at alpha. */
+template <typename T>
+static T Lerp(const T& x0, const T& x1, double alpha) {
+ NSCAssert(alpha >= 0 && alpha <= 1, @"alpha must be between 0 and 1 (%f)", alpha);
+ return ((1 - alpha) * x0) + (alpha * x1);
+}
+
+/** Linear interpolation of (xp, yp) at x. */
+template <typename S, typename T>
+static std::vector<T> Interpolate(const std::vector<S>& x,
+ const std::vector<S>& xp,
+ const std::vector<T>& yp) {
+ NSCAssert(xp.size(), @"xp must contain at least one value.");
+ NSCAssert(xp.size() == yp.size(), @"xp and yp must have matching lengths.");
+
+ std::vector<T> y;
+ y.reserve(x.size());
+
+ size_t i = 0; // Index into x.
+
+ for (; i < x.size() && x[i] < xp.front(); ++i) {
+ y.push_back(yp.front()); // Pad out y with yp.front() for x values before xp.front().
+ }
+
+ size_t ip = 0; // Index into xp/yp.
+
+ for (; ip < xp.size() && i < x.size(); ++i) {
+ while (ip < xp.size() && xp[ip] <= x[i]) { // Find an xp[ip] greater than x[i].
+ ++ip;
+ }
+ if (ip >= xp.size()) {
+ break; // Ran out of values.
+ }
+
+ const double alpha = (x[i] - xp[ip - 1]) / static_cast<double>(xp[ip] - xp[ip - 1]);
+ y.push_back(Lerp(yp[ip - 1], yp[ip], alpha));
+ }
+
+ for (; i < x.size(); ++i) {
+ y.push_back(yp.back()); // Pad out y with yp.back() for values after xp.back().
+ }
+
+ return y;
+}
+
+/** Extracts the values of y where the corresponding value in x is equal to value. */
+template <typename S, typename T>
+static std::vector<S> Extract(const std::vector<T>& x, const std::vector<S>& y, const T& value) {
+ NSCAssert(x.size() == y.size(), @"x and y must have matching lengths.");
+ std::vector<S> extracted;
+
+ for (size_t i = 0; i < x.size(); ++i) {
+ if (x[i] == value) {
+ extracted.push_back(y[i]);
+ }
+ }
+
+ return extracted;
+}
+
+/** Returns the standard deviation of the values in x. */
+template <typename T>
+static T StandardDeviation(const std::vector<T>& x) {
+ NSCAssert(x.size() > 0, @"x must have at least one value.");
+ const T sum = std::accumulate(x.begin(), x.end(), T{});
+ const T mean = sum / x.size();
+ const T ss = std::accumulate(x.begin(), x.end(), T{}, ^(T accum, T value){
+ return accum + ((value - mean) * (value - mean));
+ });
+ return sqrt(ss / (x.size() - 1));
+}
+
+/** Returns the index of the smallest value in x. */
+template <typename T>
+static size_t ArgMin(const std::vector<T>& x) {
+ NSCAssert(x.size() > 0, @"x must have at least one value.");
+ size_t imin = 0;
+ for (size_t i = 1; i < x.size(); ++i) {
+ if (x[i] < x[imin]) {
+ imin = i;
+ }
+ }
+ return imin;
+}
+
+/**
+ * Finds a positive time value that shifting laserTs by will minimise the standard deviation of
+ * interpolated touchYs.
+ */
+static NSTimeInterval FindBestShift(const std::vector<NSTimeInterval>& laserTs,
+ const std::vector<NSTimeInterval>& touchTs,
+ const std::vector<CGFloat>& touchYs) {
+ NSCAssert(laserTs.size() > 0, @"laserTs must have at least one value.");
+ NSCAssert(touchTs.size() == touchYs.size(), @"touchTs and touchYs must have matching lengths.");
+
+ const NSTimeInterval kSearchCoverage = 0.15;
+ const int kSteps = 1500;
+ const NSTimeInterval kShiftStep = kSearchCoverage / kSteps;
+
+ std::vector<NSTimeInterval> deviations;
+ deviations.reserve(kSteps);
+
+ std::vector<NSTimeInterval> ts(laserTs.size());
+ for (int i = 0; i < kSteps; ++i) {
+ for (size_t j = 0; j < laserTs.size(); ++j) {
+ ts[j] = laserTs[j] + (kShiftStep * i);
+ }
+
+ std::vector<CGFloat> laserYs = Interpolate(ts, touchTs, touchYs);
+ deviations.push_back(StandardDeviation(laserYs));
+ }
+
+ return ArgMin(deviations) * kShiftStep;
+}
+
+@interface DragLatencyController ()
+- (void)updateCountDisplay;
+- (void)processEvent:(UIEvent *)event;
+- (void)receiveTriggers:(id)context;
+- (void)stopReceiver;
+@end
+
+@implementation DragLatencyController {
+ WALTClient *_client;
+ WALTLogger *_logger;
+
+ NSMutableArray<WALTTouch *> *_touchEvents;
+ NSMutableArray<WALTLaserEvent *> *_laserEvents;
+
+ NSThread *_triggerReceiver;
+ dispatch_semaphore_t _receiverComplete;
+}
+
+- (void)dealloc {
+ [self stopReceiver];
+}
+
+- (void)viewDidLoad {
+ [super viewDidLoad];
+
+ _client = ((WALTAppDelegate *)[UIApplication sharedApplication].delegate).client;
+ _logger = [WALTLogger sessionLogger];
+}
+
+- (void)viewWillAppear:(BOOL)animated {
+ [super viewWillAppear:animated];
+
+ [self updateCountDisplay];
+
+ [_logger appendString:@"DRAGLATENCY\n"];
+}
+
+- (void)touchesBegan:(NSSet<UITouch *> *)touches withEvent:(UIEvent *)event {
+ [self processEvent:event];
+}
+
+- (void)touchesMoved:(NSSet<UITouch *> *)touches withEvent:(UIEvent *)event {
+ [self processEvent:event];
+}
+
+- (void)touchesEnded:(NSSet<UITouch *> *)touches withEvent:(UIEvent *)event {
+ [self processEvent:event];
+}
+
+- (void)processEvent:(UIEvent *)event {
+ // TODO(pquinn): Pull out coalesced touches.
+
+ WALTTouch *touch = [[WALTTouch alloc] initWithEvent:event];
+ [_touchEvents addObject:touch];
+ [_logger appendFormat:@"TOUCH\t%.3f\t%.2f\t%.2f\n",
+ touch.kernelTime, touch.location.x, touch.location.y];
+ [self updateCountDisplay];
+}
+
+- (void)updateCountDisplay {
+ NSString *counts = [NSString stringWithFormat:@"N ✛ %lu ⇄ %lu",
+ (unsigned long)_laserEvents.count, (unsigned long)_touchEvents.count];
+ self.countLabel.text = counts;
+}
+
+- (IBAction)start:(id)sender {
+ [self reset:sender];
+
+ self.goalpostView.hidden = NO;
+ self.statusLabel.text = @"";
+
+ [UIView beginAnimations:@"Goalpost" context:NULL];
+ [UIView setAnimationDuration:kGoalpostFrequency];
+ [UIView setAnimationBeginsFromCurrentState:NO];
+ [UIView setAnimationRepeatCount:FLT_MAX];
+ [UIView setAnimationRepeatAutoreverses:YES];
+
+ self.goalpostView.transform =
+ CGAffineTransformMakeTranslation(0.0, -CGRectGetHeight(self.view.frame) + 300);
+
+ [UIView commitAnimations];
+
+ _receiverComplete = dispatch_semaphore_create(0);
+ _triggerReceiver = [[NSThread alloc] initWithTarget:self
+ selector:@selector(receiveTriggers:)
+ object:nil];
+ [_triggerReceiver start];
+}
+
+- (IBAction)reset:(id)sender {
+ [self stopReceiver];
+
+ self.goalpostView.transform = CGAffineTransformMakeTranslation(0.0, 0.0);
+ self.goalpostView.hidden = YES;
+
+ _touchEvents = [[NSMutableArray<WALTTouch *> alloc] init];
+ _laserEvents = [[NSMutableArray<WALTLaserEvent *> alloc] init];
+
+ [self updateCountDisplay];
+
+ NSError *error = nil;
+ if (![_client syncClocksWithError:&error]) {
+ UIAlertView *alert = [[UIAlertView alloc] initWithTitle:@"WALT Connection Error" error:error];
+ [alert show];
+ }
+
+ [_logger appendString:@"RESET\n"];
+}
+
+- (void)receiveTriggers:(id)context {
+ // Turn on laser change notifications.
+ NSError *error = nil;
+ if (![_client sendCommand:WALTLaserOnCommand error:&error]) {
+ UIAlertView *alert = [[UIAlertView alloc] initWithTitle:@"WALT Connection Error" error:error];
+ [alert show];
+ dispatch_semaphore_signal(_receiverComplete);
+ return;
+ }
+
+ NSData *response = [_client readResponseWithTimeout:kWALTReadTimeout];
+ if (![_client checkResponse:response forCommand:WALTLaserOnCommand]) {
+ UIAlertView *alert = [[UIAlertView alloc] initWithTitle:@"WALT Response Error"
+ message:@"Failed to start laser probe."
+ delegate:nil
+ cancelButtonTitle:@"Dismiss"
+ otherButtonTitles:nil];
+ [alert show];
+ dispatch_semaphore_signal(_receiverComplete);
+ return;
+ }
+
+ while (!NSThread.currentThread.isCancelled) {
+ WALTTrigger response = [_client readTriggerWithTimeout:kWALTReadTimeout];
+ if (response.tag == kWALTLaserTag) {
+ WALTLaserEvent *event = [[WALTLaserEvent alloc] init];
+ event.t = response.t;
+ event.value = response.value;
+ [_laserEvents addObject:event];
+ [_logger appendFormat:@"LASER\t%.3f\t%d\n", event.t, event.value];
+ } else if (response.tag != '\0') { // Don't fail for timeout errors.
+ UIAlertView *alert = [[UIAlertView alloc] initWithTitle:@"WALT Response Error"
+ message:@"Failed to read laser probe."
+ delegate:nil
+ cancelButtonTitle:@"Dismiss"
+ otherButtonTitles:nil];
+ [alert show];
+ }
+ }
+
+ // Turn off laser change notifications.
+ [_client sendCommand:WALTLaserOffCommand error:nil];
+ [_client readResponseWithTimeout:kWALTReadTimeout];
+
+ dispatch_semaphore_signal(_receiverComplete);
+}
+
+- (void)stopReceiver {
+ // TODO(pquinn): This will deadlock if called in rapid succession -- there is a small delay
+ // between dispatch_semaphore_signal() and -[NSThread isExecuting] changing.
+ // Unfortunately, NSThread is not joinable...
+ if (_triggerReceiver.isExecuting) {
+ [_triggerReceiver cancel];
+ dispatch_semaphore_wait(_receiverComplete, DISPATCH_TIME_FOREVER);
+ }
+}
+
+- (IBAction)computeStatistics:(id)sender {
+ if (_touchEvents.count < kMinTouchEvents) {
+ self.statusLabel.text =
+ [NSString stringWithFormat:@"Too few touch events (%lu/%lu).",
+ (unsigned long)_touchEvents.count, (unsigned long)kMinTouchEvents];
+ [self reset:sender];
+ return;
+ }
+
+ // Timestamps are reset to be relative to t0 to make the output easier to read.
+ const NSTimeInterval t0 = _touchEvents.firstObject.kernelTime;
+ const NSTimeInterval tF = _touchEvents.lastObject.kernelTime;
+
+ std::vector<NSTimeInterval> ft(_touchEvents.count);
+ std::vector<CGFloat> fy(_touchEvents.count);
+ for (NSUInteger i = 0; i < _touchEvents.count; ++i) {
+ ft[i] = _touchEvents[i].kernelTime - t0;
+ fy[i] = _touchEvents[i].location.y;
+ }
+
+ // Remove laser events that have a timestamp outside [t0, tF].
+ [_laserEvents filterUsingPredicate:[NSPredicate predicateWithBlock:
+ ^BOOL(WALTLaserEvent *evaluatedObject, NSDictionary<NSString *, id> *bindings) {
+ return evaluatedObject.t >= t0 && evaluatedObject.t <= tF;
+ }]];
+
+ if (_laserEvents.count < kMinLaserEvents) {
+ self.statusLabel.text =
+ [NSString stringWithFormat:@"Too few laser events (%lu/%lu).",
+ (unsigned long)_laserEvents.count, (unsigned long)kMinLaserEvents];
+ [self reset:sender];
+ return;
+ }
+
+ if (_laserEvents.firstObject.value != 0) {
+ self.statusLabel.text = @"First laser crossing was not into the beam.";
+ [self reset:sender];
+ return;
+ }
+
+ std::vector<NSTimeInterval> lt(_laserEvents.count);
+ std::vector<int> lv(_laserEvents.count);
+ for (NSUInteger i = 0; i < _laserEvents.count; ++i) {
+ lt[i] = _laserEvents[i].t - t0;
+ lv[i] = _laserEvents[i].value;
+ }
+
+ // Calculate interpolated touch y positions at each laser event.
+ std::vector<CGFloat> ly = Interpolate(lt, ft, fy);
+
+ // Labels for each laser event to denote those above/below the beam.
+ // The actual side is irrelevant, but events on the same side should have the same label. The
+ // vector will look like [0, 1, 1, 0, 0, 1, 1, 0, 0, ...].
+ std::vector<int> sideLabels(lt.size());
+ for (size_t i = 0; i < lt.size(); ++i) {
+ sideLabels[i] = ((i + 1) / 2) % 2;
+ }
+
+ NSTimeInterval averageBestShift = 0;
+ for (int side = 0; side < 2; ++side) {
+ std::vector<NSTimeInterval> lts = Extract(sideLabels, lt, side);
+ NSTimeInterval bestShift = FindBestShift(lts, ft, fy);
+ averageBestShift += bestShift / 2;
+ }
+
+ self.statusLabel.text = [NSString stringWithFormat:@"%.3f s", averageBestShift];
+
+ [self reset:sender];
+}
+@end