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      1 /*
      2  * Copyright (C) 2017 The Android Open Source Project
      3  *
      4  * Licensed under the Apache License, Version 2.0 (the "License");
      5  * you may not use this file except in compliance with the License.
      6  * You may obtain a copy of the License at
      7  *
      8  *      http://www.apache.org/licenses/LICENSE-2.0
      9  *
     10  * Unless required by applicable law or agreed to in writing, software
     11  * distributed under the License is distributed on an "AS IS" BASIS,
     12  * WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
     13  * See the License for the specific language governing permissions and
     14  * limitations under the License.
     15  */
     16 
     17 #define LOG_TAG "VelocityTracker_test"
     18 
     19 #include <array>
     20 #include <chrono>
     21 #include <math.h>
     22 
     23 #include <android-base/stringprintf.h>
     24 #include <gtest/gtest.h>
     25 #include <input/VelocityTracker.h>
     26 
     27 using namespace std::chrono_literals;
     28 using android::base::StringPrintf;
     29 
     30 namespace android {
     31 
     32 constexpr int32_t DISPLAY_ID = ADISPLAY_ID_DEFAULT; // default display id
     33 
     34 constexpr int32_t DEFAULT_POINTER_ID = 0; // pointer ID used for manually defined tests
     35 
     36 // velocity must be in the range (1-tol)*EV <= velocity <= (1+tol)*EV
     37 // here EV = expected value, tol = VELOCITY_TOLERANCE
     38 constexpr float VELOCITY_TOLERANCE = 0.2;
     39 
     40 // estimate coefficients must be within 0.001% of the target value
     41 constexpr float COEFFICIENT_TOLERANCE = 0.00001;
     42 
     43 // --- VelocityTrackerTest ---
     44 class VelocityTrackerTest : public testing::Test { };
     45 
     46 /*
     47  * Similar to EXPECT_NEAR, but ensures that the difference between the two float values
     48  * is at most a certain fraction of the target value.
     49  * If fraction is zero, require exact match.
     50  */
     51 static void EXPECT_NEAR_BY_FRACTION(float actual, float target, float fraction) {
     52     float tolerance = fabsf(target * fraction);
     53 
     54     if (target == 0 && fraction != 0) {
     55         // If target is zero, this would force actual == target, which is too harsh.
     56         // Relax this requirement a little. The value is determined empirically from the
     57         // coefficients computed by the quadratic least squares algorithms.
     58         tolerance = 1E-6;
     59     }
     60     EXPECT_NEAR(actual, target, tolerance);
     61 }
     62 
     63 static void checkVelocity(float Vactual, float Vtarget) {
     64     EXPECT_NEAR_BY_FRACTION(Vactual, Vtarget, VELOCITY_TOLERANCE);
     65 }
     66 
     67 static void checkCoefficient(float actual, float target) {
     68     EXPECT_NEAR_BY_FRACTION(actual, target, COEFFICIENT_TOLERANCE);
     69 }
     70 
     71 struct Position {
     72     float x;
     73     float y;
     74 
     75     /**
     76      * If both values are NAN, then this is considered to be an empty entry (no pointer data).
     77      * If only one of the values is NAN, this is still a valid entry,
     78      * because we may only care about a single axis.
     79      */
     80     bool isValid() const {
     81         return !(isnan(x) && isnan(y));
     82     }
     83 };
     84 
     85 struct MotionEventEntry {
     86     std::chrono::nanoseconds eventTime;
     87     std::vector<Position> positions;
     88 };
     89 
     90 static BitSet32 getValidPointers(const std::vector<Position>& positions) {
     91     BitSet32 pointers;
     92     for (size_t i = 0; i < positions.size(); i++) {
     93         if (positions[i].isValid()) {
     94             pointers.markBit(i);
     95         }
     96     }
     97     return pointers;
     98 }
     99 
    100 static uint32_t getChangingPointerId(BitSet32 pointers, BitSet32 otherPointers) {
    101     BitSet32 difference(pointers.value ^ otherPointers.value);
    102     uint32_t pointerId = difference.clearFirstMarkedBit();
    103     EXPECT_EQ(0U, difference.value) << "Only 1 pointer can enter or leave at a time";
    104     return pointerId;
    105 }
    106 
    107 static int32_t resolveAction(const std::vector<Position>& lastPositions,
    108         const std::vector<Position>& currentPositions,
    109         const std::vector<Position>& nextPositions) {
    110     BitSet32 pointers = getValidPointers(currentPositions);
    111     const uint32_t pointerCount = pointers.count();
    112 
    113     BitSet32 lastPointers = getValidPointers(lastPositions);
    114     const uint32_t lastPointerCount = lastPointers.count();
    115     if (lastPointerCount < pointerCount) {
    116         // A new pointer is down
    117         uint32_t pointerId = getChangingPointerId(pointers, lastPointers);
    118         return AMOTION_EVENT_ACTION_POINTER_DOWN |
    119                 (pointerId << AMOTION_EVENT_ACTION_POINTER_INDEX_SHIFT);
    120     }
    121 
    122     BitSet32 nextPointers = getValidPointers(nextPositions);
    123     const uint32_t nextPointerCount = nextPointers.count();
    124     if (pointerCount > nextPointerCount) {
    125         // An existing pointer is leaving
    126         uint32_t pointerId = getChangingPointerId(pointers, nextPointers);
    127         return AMOTION_EVENT_ACTION_POINTER_UP |
    128                 (pointerId << AMOTION_EVENT_ACTION_POINTER_INDEX_SHIFT);
    129     }
    130 
    131     return AMOTION_EVENT_ACTION_MOVE;
    132 }
    133 
    134 static std::vector<MotionEvent> createMotionEventStream(
    135         const std::vector<MotionEventEntry>& motions) {
    136     if (motions.empty()) {
    137         ADD_FAILURE() << "Need at least 1 sample to create a MotionEvent. Received empty vector.";
    138     }
    139 
    140     std::vector<MotionEvent> events;
    141     for (size_t i = 0; i < motions.size(); i++) {
    142         const MotionEventEntry& entry = motions[i];
    143         BitSet32 pointers = getValidPointers(entry.positions);
    144         const uint32_t pointerCount = pointers.count();
    145 
    146         int32_t action;
    147         if (i == 0) {
    148             action = AMOTION_EVENT_ACTION_DOWN;
    149             EXPECT_EQ(1U, pointerCount) << "First event should only have 1 pointer";
    150         } else if (i == motions.size() - 1) {
    151             EXPECT_EQ(1U, pointerCount) << "Last event should only have 1 pointer";
    152             action = AMOTION_EVENT_ACTION_UP;
    153         } else {
    154             const MotionEventEntry& previousEntry = motions[i-1];
    155             const MotionEventEntry& nextEntry = motions[i+1];
    156             action = resolveAction(previousEntry.positions, entry.positions, nextEntry.positions);
    157         }
    158 
    159         PointerCoords coords[pointerCount];
    160         PointerProperties properties[pointerCount];
    161         uint32_t pointerIndex = 0;
    162         while(!pointers.isEmpty()) {
    163             uint32_t pointerId = pointers.clearFirstMarkedBit();
    164 
    165             coords[pointerIndex].clear();
    166             // We are treating column positions as pointerId
    167             EXPECT_TRUE(entry.positions[pointerId].isValid()) <<
    168                     "The entry at pointerId must be valid";
    169             coords[pointerIndex].setAxisValue(AMOTION_EVENT_AXIS_X, entry.positions[pointerId].x);
    170             coords[pointerIndex].setAxisValue(AMOTION_EVENT_AXIS_Y, entry.positions[pointerId].y);
    171 
    172             properties[pointerIndex].id = pointerId;
    173             properties[pointerIndex].toolType = AMOTION_EVENT_TOOL_TYPE_FINGER;
    174             pointerIndex++;
    175         }
    176         EXPECT_EQ(pointerIndex, pointerCount);
    177 
    178         MotionEvent event;
    179         event.initialize(0 /*deviceId*/, AINPUT_SOURCE_TOUCHSCREEN, DISPLAY_ID,
    180                 action, 0 /*actionButton*/, 0 /*flags*/,
    181                 AMOTION_EVENT_EDGE_FLAG_NONE, AMETA_NONE, 0 /*buttonState*/,
    182                 MotionClassification::NONE,
    183                 0 /*xOffset*/, 0 /*yOffset*/, 0 /*xPrecision*/, 0 /*yPrecision*/,
    184                 0 /*downTime*/, entry.eventTime.count(), pointerCount, properties, coords);
    185 
    186         events.emplace_back(event);
    187     }
    188 
    189     return events;
    190 }
    191 
    192 static void computeAndCheckVelocity(const char* strategy,
    193         const std::vector<MotionEventEntry>& motions, int32_t axis, float targetVelocity) {
    194     VelocityTracker vt(strategy);
    195     float Vx, Vy;
    196 
    197     std::vector<MotionEvent> events = createMotionEventStream(motions);
    198     for (MotionEvent event : events) {
    199         vt.addMovement(&event);
    200     }
    201 
    202     vt.getVelocity(DEFAULT_POINTER_ID, &Vx, &Vy);
    203 
    204     switch (axis) {
    205     case AMOTION_EVENT_AXIS_X:
    206         checkVelocity(Vx, targetVelocity);
    207         break;
    208     case AMOTION_EVENT_AXIS_Y:
    209         checkVelocity(Vy, targetVelocity);
    210         break;
    211     default:
    212         FAIL() << "Axis must be either AMOTION_EVENT_AXIS_X or AMOTION_EVENT_AXIS_Y";
    213     }
    214 }
    215 
    216 static void computeAndCheckQuadraticEstimate(const std::vector<MotionEventEntry>& motions,
    217         const std::array<float, 3>& coefficients) {
    218     VelocityTracker vt("lsq2");
    219     std::vector<MotionEvent> events = createMotionEventStream(motions);
    220     for (MotionEvent event : events) {
    221         vt.addMovement(&event);
    222     }
    223     VelocityTracker::Estimator estimator;
    224     EXPECT_TRUE(vt.getEstimator(0, &estimator));
    225     for (size_t i = 0; i< coefficients.size(); i++) {
    226         checkCoefficient(estimator.xCoeff[i], coefficients[i]);
    227         checkCoefficient(estimator.yCoeff[i], coefficients[i]);
    228     }
    229 }
    230 
    231 /*
    232  * ================== VelocityTracker tests generated manually =====================================
    233  */
    234 TEST_F(VelocityTrackerTest, ThreePointsPositiveVelocityTest) {
    235     // Same coordinate is reported 2 times in a row
    236     // It is difficult to determine the correct answer here, but at least the direction
    237     // of the reported velocity should be positive.
    238     std::vector<MotionEventEntry> motions = {
    239         {0ms, {{ 273, NAN}}},
    240         {12585us, {{293, NAN}}},
    241         {14730us, {{293, NAN}}},
    242         {14730us, {{293, NAN}}}, // ACTION_UP
    243     };
    244     computeAndCheckVelocity("impulse", motions, AMOTION_EVENT_AXIS_X, 1600);
    245 }
    246 
    247 TEST_F(VelocityTrackerTest, ThreePointsZeroVelocityTest) {
    248     // Same coordinate is reported 3 times in a row
    249     std::vector<MotionEventEntry> motions = {
    250         { 0ms, {{293, NAN}} },
    251         { 6132us, {{293, NAN}} },
    252         { 11283us, {{293, NAN}} },
    253         { 11283us, {{293, NAN}} }, // ACTION_UP
    254     };
    255     computeAndCheckVelocity("impulse", motions, AMOTION_EVENT_AXIS_X, 0);
    256     computeAndCheckVelocity("lsq2", motions, AMOTION_EVENT_AXIS_X, 0);
    257 }
    258 
    259 TEST_F(VelocityTrackerTest, ThreePointsLinearVelocityTest) {
    260     // Fixed velocity at 5 points per 10 milliseconds
    261     std::vector<MotionEventEntry> motions = {
    262         { 0ms, {{0, NAN}} },
    263         { 10ms, {{5, NAN}} },
    264         { 20ms, {{10, NAN}} },
    265         { 20ms, {{10, NAN}} }, // ACTION_UP
    266     };
    267     computeAndCheckVelocity("impulse", motions, AMOTION_EVENT_AXIS_X, 500);
    268     computeAndCheckVelocity("lsq2", motions, AMOTION_EVENT_AXIS_X, 500);
    269 }
    270 
    271 
    272 /**
    273  * ================== VelocityTracker tests generated by recording real events =====================
    274  *
    275  * To add a test, record the input coordinates and event times to all calls
    276  * to void VelocityTracker::addMovement(const MotionEvent* event).
    277  * Also record all calls to VelocityTracker::clear().
    278  * Finally, record the output of VelocityTracker::getVelocity(...)
    279  * This will give you the necessary data to create a new test.
    280  *
    281  * Another good way to generate this data is to use 'dumpsys input' just after the event has
    282  * occurred.
    283  */
    284 
    285 // --------------- Recorded by hand on swordfish ---------------------------------------------------
    286 TEST_F(VelocityTrackerTest, SwordfishFlingDown) {
    287     // Recording of a fling on Swordfish that could cause a fling in the wrong direction
    288     std::vector<MotionEventEntry> motions = {
    289         { 0ms, {{271, 96}} },
    290         { 16071042ns, {{269.786346, 106.922775}} },
    291         { 35648403ns, {{267.983063, 156.660034}} },
    292         { 52313925ns, {{262.638397, 220.339081}} },
    293         { 68976522ns, {{266.138824, 331.581116}} },
    294         { 85639375ns, {{274.79245, 428.113159}} },
    295         { 96948871ns, {{274.79245, 428.113159}} },
    296         { 96948871ns, {{274.79245, 428.113159}} }, // ACTION_UP
    297     };
    298     computeAndCheckVelocity("impulse", motions, AMOTION_EVENT_AXIS_X, 623.577637);
    299     computeAndCheckVelocity("impulse", motions, AMOTION_EVENT_AXIS_Y, 5970.7309);
    300 }
    301 
    302 // --------------- Recorded by hand on sailfish, generated by a script -----------------------------
    303 // For some of these tests, the X-direction velocity checking has been removed, because the lsq2
    304 // and the impulse VelocityTrackerStrategies did not agree within 20%.
    305 // Since the flings were recorded in the Y-direction, the intentional user action should only
    306 // be relevant for the Y axis.
    307 // There have been also cases where lsq2 and impulse disagreed more than 20% in the Y-direction.
    308 // Those recordings have been discarded because we didn't feel one strategy's interpretation was
    309 // more correct than another's but didn't want to increase the tolerance for the entire test suite.
    310 //
    311 // There are 18 tests total below: 9 in the positive Y direction and 9 in the opposite.
    312 // The recordings were loosely binned into 3 categories - slow, faster, and fast, which roughly
    313 // characterizes the velocity of the finger motion.
    314 // These can be treated approximately as:
    315 // slow - less than 1 page gets scrolled
    316 // faster - more than 1 page gets scrolled, but less than 3
    317 // fast - entire list is scrolled (fling is done as hard as possible)
    318 
    319 TEST_F(VelocityTrackerTest, SailfishFlingUpSlow1) {
    320     // Sailfish - fling up - slow - 1
    321     std::vector<MotionEventEntry> motions = {
    322         { 235089067457000ns, {{528.00, 983.00}} },
    323         { 235089084684000ns, {{527.00, 981.00}} },
    324         { 235089093349000ns, {{527.00, 977.00}} },
    325         { 235089095677625ns, {{527.00, 975.93}} },
    326         { 235089101859000ns, {{527.00, 970.00}} },
    327         { 235089110378000ns, {{528.00, 960.00}} },
    328         { 235089112497111ns, {{528.25, 957.51}} },
    329         { 235089118760000ns, {{531.00, 946.00}} },
    330         { 235089126686000ns, {{535.00, 931.00}} },
    331         { 235089129316820ns, {{536.33, 926.02}} },
    332         { 235089135199000ns, {{540.00, 914.00}} },
    333         { 235089144297000ns, {{546.00, 896.00}} },
    334         { 235089146136443ns, {{547.21, 892.36}} },
    335         { 235089152923000ns, {{553.00, 877.00}} },
    336         { 235089160784000ns, {{559.00, 851.00}} },
    337         { 235089162955851ns, {{560.66, 843.82}} },
    338         { 235089162955851ns, {{560.66, 843.82}} }, // ACTION_UP
    339     };
    340     computeAndCheckVelocity("impulse", motions, AMOTION_EVENT_AXIS_X, 872.794617);
    341     computeAndCheckVelocity("lsq2", motions, AMOTION_EVENT_AXIS_X, 951.698181);
    342     computeAndCheckVelocity("impulse",motions, AMOTION_EVENT_AXIS_Y, -3604.819336);
    343     computeAndCheckVelocity("lsq2", motions, AMOTION_EVENT_AXIS_Y, -3044.966064);
    344 }
    345 
    346 
    347 TEST_F(VelocityTrackerTest, SailfishFlingUpSlow2) {
    348     // Sailfish - fling up - slow - 2
    349     std::vector<MotionEventEntry> motions = {
    350         { 235110560704000ns, {{522.00, 1107.00}} },
    351         { 235110575764000ns, {{522.00, 1107.00}} },
    352         { 235110584385000ns, {{522.00, 1107.00}} },
    353         { 235110588421179ns, {{521.52, 1106.52}} },
    354         { 235110592830000ns, {{521.00, 1106.00}} },
    355         { 235110601385000ns, {{520.00, 1104.00}} },
    356         { 235110605088160ns, {{519.14, 1102.27}} },
    357         { 235110609952000ns, {{518.00, 1100.00}} },
    358         { 235110618353000ns, {{517.00, 1093.00}} },
    359         { 235110621755146ns, {{516.60, 1090.17}} },
    360         { 235110627010000ns, {{517.00, 1081.00}} },
    361         { 235110634785000ns, {{518.00, 1063.00}} },
    362         { 235110638422450ns, {{518.87, 1052.58}} },
    363         { 235110643161000ns, {{520.00, 1039.00}} },
    364         { 235110651767000ns, {{524.00, 1011.00}} },
    365         { 235110655089581ns, {{525.54, 1000.19}} },
    366         { 235110660368000ns, {{530.00, 980.00}} },
    367         { 235110660368000ns, {{530.00, 980.00}} }, // ACTION_UP
    368     };
    369     computeAndCheckVelocity("impulse", motions, AMOTION_EVENT_AXIS_Y, -4096.583008);
    370     computeAndCheckVelocity("lsq2", motions, AMOTION_EVENT_AXIS_Y, -3455.094238);
    371 }
    372 
    373 
    374 TEST_F(VelocityTrackerTest, SailfishFlingUpSlow3) {
    375     // Sailfish - fling up - slow - 3
    376     std::vector<MotionEventEntry> motions = {
    377         { 792536237000ns, {{580.00, 1317.00}} },
    378         { 792541538987ns, {{580.63, 1311.94}} },
    379         { 792544613000ns, {{581.00, 1309.00}} },
    380         { 792552301000ns, {{583.00, 1295.00}} },
    381         { 792558362309ns, {{585.13, 1282.92}} },
    382         { 792560828000ns, {{586.00, 1278.00}} },
    383         { 792569446000ns, {{589.00, 1256.00}} },
    384         { 792575185095ns, {{591.54, 1241.41}} },
    385         { 792578491000ns, {{593.00, 1233.00}} },
    386         { 792587044000ns, {{597.00, 1211.00}} },
    387         { 792592008172ns, {{600.28, 1195.92}} },
    388         { 792594616000ns, {{602.00, 1188.00}} },
    389         { 792603129000ns, {{607.00, 1167.00}} },
    390         { 792608831290ns, {{609.48, 1155.83}} },
    391         { 792612321000ns, {{611.00, 1149.00}} },
    392         { 792620768000ns, {{615.00, 1131.00}} },
    393         { 792625653873ns, {{617.32, 1121.73}} },
    394         { 792629200000ns, {{619.00, 1115.00}} },
    395         { 792629200000ns, {{619.00, 1115.00}} }, // ACTION_UP
    396     };
    397     computeAndCheckVelocity("impulse", motions, AMOTION_EVENT_AXIS_X, 574.33429);
    398     computeAndCheckVelocity("lsq2", motions, AMOTION_EVENT_AXIS_X, 617.40564);
    399     computeAndCheckVelocity("impulse", motions, AMOTION_EVENT_AXIS_Y, -2361.982666);
    400     computeAndCheckVelocity("lsq2", motions, AMOTION_EVENT_AXIS_Y, -2500.055664);
    401 }
    402 
    403 
    404 TEST_F(VelocityTrackerTest, SailfishFlingUpFaster1) {
    405     // Sailfish - fling up - faster - 1
    406     std::vector<MotionEventEntry> motions = {
    407         { 235160420675000ns, {{610.00, 1042.00}} },
    408         { 235160428220000ns, {{609.00, 1026.00}} },
    409         { 235160436544000ns, {{609.00, 1024.00}} },
    410         { 235160441852394ns, {{609.64, 1020.82}} },
    411         { 235160444878000ns, {{610.00, 1019.00}} },
    412         { 235160452673000ns, {{613.00, 1006.00}} },
    413         { 235160458519743ns, {{617.18, 992.06}} },
    414         { 235160461061000ns, {{619.00, 986.00}} },
    415         { 235160469798000ns, {{627.00, 960.00}} },
    416         { 235160475186713ns, {{632.22, 943.02}} },
    417         { 235160478051000ns, {{635.00, 934.00}} },
    418         { 235160486489000ns, {{644.00, 906.00}} },
    419         { 235160491853697ns, {{649.56, 890.56}} },
    420         { 235160495177000ns, {{653.00, 881.00}} },
    421         { 235160504148000ns, {{662.00, 858.00}} },
    422         { 235160509231495ns, {{666.81, 845.37}} },
    423         { 235160512603000ns, {{670.00, 837.00}} },
    424         { 235160520366000ns, {{679.00, 814.00}} },
    425         { 235160520366000ns, {{679.00, 814.00}} }, // ACTION_UP
    426     };
    427     computeAndCheckVelocity("impulse", motions, AMOTION_EVENT_AXIS_X, 1274.141724);
    428     computeAndCheckVelocity("lsq2", motions, AMOTION_EVENT_AXIS_X, 1438.53186);
    429     computeAndCheckVelocity("impulse", motions, AMOTION_EVENT_AXIS_Y, -3001.4348);
    430     computeAndCheckVelocity("lsq2", motions, AMOTION_EVENT_AXIS_Y, -3695.859619);
    431 }
    432 
    433 
    434 TEST_F(VelocityTrackerTest, SailfishFlingUpFaster2) {
    435     // Sailfish - fling up - faster - 2
    436     std::vector<MotionEventEntry> motions = {
    437         { 847153808000ns, {{576.00, 1264.00}} },
    438         { 847171174000ns, {{576.00, 1262.00}} },
    439         { 847179640000ns, {{576.00, 1257.00}} },
    440         { 847185187540ns, {{577.41, 1249.22}} },
    441         { 847187487000ns, {{578.00, 1246.00}} },
    442         { 847195710000ns, {{581.00, 1227.00}} },
    443         { 847202027059ns, {{583.93, 1209.40}} },
    444         { 847204324000ns, {{585.00, 1203.00}} },
    445         { 847212672000ns, {{590.00, 1176.00}} },
    446         { 847218861395ns, {{594.36, 1157.11}} },
    447         { 847221190000ns, {{596.00, 1150.00}} },
    448         { 847230484000ns, {{602.00, 1124.00}} },
    449         { 847235701400ns, {{607.56, 1103.83}} },
    450         { 847237986000ns, {{610.00, 1095.00}} },
    451         { 847237986000ns, {{610.00, 1095.00}} }, // ACTION_UP
    452     };
    453     computeAndCheckVelocity("impulse", motions, AMOTION_EVENT_AXIS_Y, -4280.07959);
    454     computeAndCheckVelocity("lsq2", motions, AMOTION_EVENT_AXIS_Y, -4241.004395);
    455 }
    456 
    457 
    458 TEST_F(VelocityTrackerTest, SailfishFlingUpFaster3) {
    459     // Sailfish - fling up - faster - 3
    460     std::vector<MotionEventEntry> motions = {
    461         { 235200532789000ns, {{507.00, 1084.00}} },
    462         { 235200549221000ns, {{507.00, 1083.00}} },
    463         { 235200557841000ns, {{507.00, 1081.00}} },
    464         { 235200558051189ns, {{507.00, 1080.95}} },
    465         { 235200566314000ns, {{507.00, 1078.00}} },
    466         { 235200574876586ns, {{508.97, 1070.12}} },
    467         { 235200575006000ns, {{509.00, 1070.00}} },
    468         { 235200582900000ns, {{514.00, 1054.00}} },
    469         { 235200591276000ns, {{525.00, 1023.00}} },
    470         { 235200591701829ns, {{525.56, 1021.42}} },
    471         { 235200600064000ns, {{542.00, 976.00}} },
    472         { 235200608519000ns, {{563.00, 911.00}} },
    473         { 235200608527086ns, {{563.02, 910.94}} },
    474         { 235200616933000ns, {{590.00, 844.00}} },
    475         { 235200616933000ns, {{590.00, 844.00}} }, // ACTION_UP
    476     };
    477     computeAndCheckVelocity("impulse", motions, AMOTION_EVENT_AXIS_Y, -8715.686523);
    478     computeAndCheckVelocity("lsq2", motions, AMOTION_EVENT_AXIS_Y, -7639.026367);
    479 }
    480 
    481 
    482 TEST_F(VelocityTrackerTest, SailfishFlingUpFast1) {
    483     // Sailfish - fling up - fast - 1
    484     std::vector<MotionEventEntry> motions = {
    485         { 920922149000ns, {{561.00, 1412.00}} },
    486         { 920930185000ns, {{559.00, 1377.00}} },
    487         { 920930262463ns, {{558.98, 1376.66}} },
    488         { 920938547000ns, {{559.00, 1371.00}} },
    489         { 920947096857ns, {{562.91, 1342.68}} },
    490         { 920947302000ns, {{563.00, 1342.00}} },
    491         { 920955502000ns, {{577.00, 1272.00}} },
    492         { 920963931021ns, {{596.87, 1190.54}} },
    493         { 920963987000ns, {{597.00, 1190.00}} },
    494         { 920972530000ns, {{631.00, 1093.00}} },
    495         { 920980765511ns, {{671.31, 994.68}} },
    496         { 920980906000ns, {{672.00, 993.00}} },
    497         { 920989261000ns, {{715.00, 903.00}} },
    498         { 920989261000ns, {{715.00, 903.00}} }, // ACTION_UP
    499     };
    500     computeAndCheckVelocity("impulse", motions, AMOTION_EVENT_AXIS_X, 5670.329102);
    501     computeAndCheckVelocity("lsq2", motions, AMOTION_EVENT_AXIS_X, 5991.866699);
    502     computeAndCheckVelocity("impulse", motions, AMOTION_EVENT_AXIS_Y, -13021.101562);
    503     computeAndCheckVelocity("lsq2", motions, AMOTION_EVENT_AXIS_Y, -15093.995117);
    504 }
    505 
    506 
    507 TEST_F(VelocityTrackerTest, SailfishFlingUpFast2) {
    508     // Sailfish - fling up - fast - 2
    509     std::vector<MotionEventEntry> motions = {
    510         { 235247153233000ns, {{518.00, 1168.00}} },
    511         { 235247170452000ns, {{517.00, 1167.00}} },
    512         { 235247178908000ns, {{515.00, 1159.00}} },
    513         { 235247179556213ns, {{514.85, 1158.39}} },
    514         { 235247186821000ns, {{515.00, 1125.00}} },
    515         { 235247195265000ns, {{521.00, 1051.00}} },
    516         { 235247196389476ns, {{521.80, 1041.15}} },
    517         { 235247203649000ns, {{538.00, 932.00}} },
    518         { 235247212253000ns, {{571.00, 794.00}} },
    519         { 235247213222491ns, {{574.72, 778.45}} },
    520         { 235247220736000ns, {{620.00, 641.00}} },
    521         { 235247220736000ns, {{620.00, 641.00}} }, // ACTION_UP
    522     };
    523     computeAndCheckVelocity("impulse", motions, AMOTION_EVENT_AXIS_Y, -20286.958984);
    524     computeAndCheckVelocity("lsq2", motions, AMOTION_EVENT_AXIS_Y, -20494.587891);
    525 }
    526 
    527 
    528 TEST_F(VelocityTrackerTest, SailfishFlingUpFast3) {
    529     // Sailfish - fling up - fast - 3
    530     std::vector<MotionEventEntry> motions = {
    531         { 235302568736000ns, {{529.00, 1167.00}} },
    532         { 235302576644000ns, {{523.00, 1140.00}} },
    533         { 235302579395063ns, {{520.91, 1130.61}} },
    534         { 235302585140000ns, {{522.00, 1130.00}} },
    535         { 235302593615000ns, {{527.00, 1065.00}} },
    536         { 235302596207444ns, {{528.53, 1045.12}} },
    537         { 235302602102000ns, {{559.00, 872.00}} },
    538         { 235302610545000ns, {{652.00, 605.00}} },
    539         { 235302613019881ns, {{679.26, 526.73}} },
    540         { 235302613019881ns, {{679.26, 526.73}} }, // ACTION_UP
    541     };
    542     computeAndCheckVelocity("impulse", motions, AMOTION_EVENT_AXIS_Y, -39295.941406);
    543     computeAndCheckVelocity("lsq2", motions, AMOTION_EVENT_AXIS_Y, -36461.421875);
    544 }
    545 
    546 
    547 TEST_F(VelocityTrackerTest, SailfishFlingDownSlow1) {
    548     // Sailfish - fling down - slow - 1
    549     std::vector<MotionEventEntry> motions = {
    550         { 235655749552755ns, {{582.00, 432.49}} },
    551         { 235655750638000ns, {{582.00, 433.00}} },
    552         { 235655758865000ns, {{582.00, 440.00}} },
    553         { 235655766221523ns, {{581.16, 448.43}} },
    554         { 235655767594000ns, {{581.00, 450.00}} },
    555         { 235655776044000ns, {{580.00, 462.00}} },
    556         { 235655782890696ns, {{579.18, 474.35}} },
    557         { 235655784360000ns, {{579.00, 477.00}} },
    558         { 235655792795000ns, {{578.00, 496.00}} },
    559         { 235655799559531ns, {{576.27, 515.04}} },
    560         { 235655800612000ns, {{576.00, 518.00}} },
    561         { 235655809535000ns, {{574.00, 542.00}} },
    562         { 235655816988015ns, {{572.17, 564.86}} },
    563         { 235655817685000ns, {{572.00, 567.00}} },
    564         { 235655825981000ns, {{569.00, 595.00}} },
    565         { 235655833808653ns, {{566.26, 620.60}} },
    566         { 235655834541000ns, {{566.00, 623.00}} },
    567         { 235655842893000ns, {{563.00, 649.00}} },
    568         { 235655842893000ns, {{563.00, 649.00}} }, // ACTION_UP
    569     };
    570     computeAndCheckVelocity("impulse", motions, AMOTION_EVENT_AXIS_X, -419.749695);
    571     computeAndCheckVelocity("lsq2", motions, AMOTION_EVENT_AXIS_X, -398.303894);
    572     computeAndCheckVelocity("impulse", motions, AMOTION_EVENT_AXIS_Y, 3309.016357);
    573     computeAndCheckVelocity("lsq2", motions, AMOTION_EVENT_AXIS_Y, 3969.099854);
    574 }
    575 
    576 
    577 TEST_F(VelocityTrackerTest, SailfishFlingDownSlow2) {
    578     // Sailfish - fling down - slow - 2
    579     std::vector<MotionEventEntry> motions = {
    580         { 235671152083370ns, {{485.24, 558.28}} },
    581         { 235671154126000ns, {{485.00, 559.00}} },
    582         { 235671162497000ns, {{484.00, 566.00}} },
    583         { 235671168750511ns, {{483.27, 573.29}} },
    584         { 235671171071000ns, {{483.00, 576.00}} },
    585         { 235671179390000ns, {{482.00, 588.00}} },
    586         { 235671185417210ns, {{481.31, 598.98}} },
    587         { 235671188173000ns, {{481.00, 604.00}} },
    588         { 235671196371000ns, {{480.00, 624.00}} },
    589         { 235671202084196ns, {{479.27, 639.98}} },
    590         { 235671204235000ns, {{479.00, 646.00}} },
    591         { 235671212554000ns, {{478.00, 673.00}} },
    592         { 235671219471011ns, {{476.39, 697.12}} },
    593         { 235671221159000ns, {{476.00, 703.00}} },
    594         { 235671229592000ns, {{474.00, 734.00}} },
    595         { 235671236281462ns, {{472.43, 758.38}} },
    596         { 235671238098000ns, {{472.00, 765.00}} },
    597         { 235671246532000ns, {{470.00, 799.00}} },
    598         { 235671246532000ns, {{470.00, 799.00}} }, // ACTION_UP
    599     };
    600     computeAndCheckVelocity("impulse", motions, AMOTION_EVENT_AXIS_X, -262.80426);
    601     computeAndCheckVelocity("lsq2", motions, AMOTION_EVENT_AXIS_X, -243.665344);
    602     computeAndCheckVelocity("impulse", motions, AMOTION_EVENT_AXIS_Y, 4215.682129);
    603     computeAndCheckVelocity("lsq2", motions, AMOTION_EVENT_AXIS_Y, 4587.986816);
    604 }
    605 
    606 
    607 TEST_F(VelocityTrackerTest, SailfishFlingDownSlow3) {
    608     // Sailfish - fling down - slow - 3
    609     std::vector<MotionEventEntry> motions = {
    610         { 170983201000ns, {{557.00, 533.00}} },
    611         { 171000668000ns, {{556.00, 534.00}} },
    612         { 171007359750ns, {{554.73, 535.27}} },
    613         { 171011197000ns, {{554.00, 536.00}} },
    614         { 171017660000ns, {{552.00, 540.00}} },
    615         { 171024201831ns, {{549.97, 544.73}} },
    616         { 171027333000ns, {{549.00, 547.00}} },
    617         { 171034603000ns, {{545.00, 557.00}} },
    618         { 171041043371ns, {{541.98, 567.55}} },
    619         { 171043147000ns, {{541.00, 571.00}} },
    620         { 171051052000ns, {{536.00, 586.00}} },
    621         { 171051052000ns, {{536.00, 586.00}} }, // ACTION_UP
    622     };
    623     computeAndCheckVelocity("impulse", motions, AMOTION_EVENT_AXIS_X, -723.413513);
    624     computeAndCheckVelocity("lsq2", motions, AMOTION_EVENT_AXIS_X, -651.038452);
    625     computeAndCheckVelocity("impulse", motions, AMOTION_EVENT_AXIS_Y, 2091.502441);
    626     computeAndCheckVelocity("lsq2", motions, AMOTION_EVENT_AXIS_Y, 1934.517456);
    627 }
    628 
    629 
    630 TEST_F(VelocityTrackerTest, SailfishFlingDownFaster1) {
    631     // Sailfish - fling down - faster - 1
    632     std::vector<MotionEventEntry> motions = {
    633         { 235695280333000ns, {{558.00, 451.00}} },
    634         { 235695283971237ns, {{558.43, 454.45}} },
    635         { 235695289038000ns, {{559.00, 462.00}} },
    636         { 235695297388000ns, {{561.00, 478.00}} },
    637         { 235695300638465ns, {{561.83, 486.25}} },
    638         { 235695305265000ns, {{563.00, 498.00}} },
    639         { 235695313591000ns, {{564.00, 521.00}} },
    640         { 235695317305492ns, {{564.43, 532.68}} },
    641         { 235695322181000ns, {{565.00, 548.00}} },
    642         { 235695330709000ns, {{565.00, 577.00}} },
    643         { 235695333972227ns, {{565.00, 588.10}} },
    644         { 235695339250000ns, {{565.00, 609.00}} },
    645         { 235695347839000ns, {{565.00, 642.00}} },
    646         { 235695351313257ns, {{565.00, 656.18}} },
    647         { 235695356412000ns, {{565.00, 677.00}} },
    648         { 235695364899000ns, {{563.00, 710.00}} },
    649         { 235695368118682ns, {{562.24, 722.52}} },
    650         { 235695373403000ns, {{564.00, 744.00}} },
    651         { 235695373403000ns, {{564.00, 744.00}} }, // ACTION_UP
    652     };
    653     computeAndCheckVelocity("impulse", motions, AMOTION_EVENT_AXIS_Y, 4254.639648);
    654     computeAndCheckVelocity("lsq2", motions, AMOTION_EVENT_AXIS_Y, 4698.415039);
    655 }
    656 
    657 
    658 TEST_F(VelocityTrackerTest, SailfishFlingDownFaster2) {
    659     // Sailfish - fling down - faster - 2
    660     std::vector<MotionEventEntry> motions = {
    661         { 235709624766000ns, {{535.00, 579.00}} },
    662         { 235709642256000ns, {{534.00, 580.00}} },
    663         { 235709643350278ns, {{533.94, 580.06}} },
    664         { 235709650760000ns, {{532.00, 584.00}} },
    665         { 235709658615000ns, {{530.00, 593.00}} },
    666         { 235709660170495ns, {{529.60, 594.78}} },
    667         { 235709667095000ns, {{527.00, 606.00}} },
    668         { 235709675616000ns, {{524.00, 628.00}} },
    669         { 235709676983261ns, {{523.52, 631.53}} },
    670         { 235709684289000ns, {{521.00, 652.00}} },
    671         { 235709692763000ns, {{518.00, 682.00}} },
    672         { 235709693804993ns, {{517.63, 685.69}} },
    673         { 235709701438000ns, {{515.00, 709.00}} },
    674         { 235709709830000ns, {{512.00, 739.00}} },
    675         { 235709710626776ns, {{511.72, 741.85}} },
    676         { 235709710626776ns, {{511.72, 741.85}} }, // ACTION_UP
    677     };
    678     computeAndCheckVelocity("impulse", motions, AMOTION_EVENT_AXIS_X, -430.440247);
    679     computeAndCheckVelocity("lsq2", motions, AMOTION_EVENT_AXIS_X, -447.600311);
    680     computeAndCheckVelocity("impulse", motions, AMOTION_EVENT_AXIS_Y, 3953.859375);
    681     computeAndCheckVelocity("lsq2", motions, AMOTION_EVENT_AXIS_Y, 4316.155273);
    682 }
    683 
    684 
    685 TEST_F(VelocityTrackerTest, SailfishFlingDownFaster3) {
    686     // Sailfish - fling down - faster - 3
    687     std::vector<MotionEventEntry> motions = {
    688         { 235727628927000ns, {{540.00, 440.00}} },
    689         { 235727636810000ns, {{537.00, 454.00}} },
    690         { 235727646176000ns, {{536.00, 454.00}} },
    691         { 235727653586628ns, {{535.12, 456.65}} },
    692         { 235727654557000ns, {{535.00, 457.00}} },
    693         { 235727663024000ns, {{534.00, 465.00}} },
    694         { 235727670410103ns, {{533.04, 479.45}} },
    695         { 235727670691000ns, {{533.00, 480.00}} },
    696         { 235727679255000ns, {{531.00, 501.00}} },
    697         { 235727687233704ns, {{529.09, 526.73}} },
    698         { 235727687628000ns, {{529.00, 528.00}} },
    699         { 235727696113000ns, {{526.00, 558.00}} },
    700         { 235727704057546ns, {{523.18, 588.98}} },
    701         { 235727704576000ns, {{523.00, 591.00}} },
    702         { 235727713099000ns, {{520.00, 626.00}} },
    703         { 235727720880776ns, {{516.33, 655.36}} },
    704         { 235727721580000ns, {{516.00, 658.00}} },
    705         { 235727721580000ns, {{516.00, 658.00}} }, // ACTION_UP
    706     };
    707     computeAndCheckVelocity("impulse", motions, AMOTION_EVENT_AXIS_Y, 4484.617676);
    708     computeAndCheckVelocity("lsq2", motions, AMOTION_EVENT_AXIS_Y, 4927.92627);
    709 }
    710 
    711 
    712 TEST_F(VelocityTrackerTest, SailfishFlingDownFast1) {
    713     // Sailfish - fling down - fast - 1
    714     std::vector<MotionEventEntry> motions = {
    715         { 235762352849000ns, {{467.00, 286.00}} },
    716         { 235762360250000ns, {{443.00, 344.00}} },
    717         { 235762362787412ns, {{434.77, 363.89}} },
    718         { 235762368807000ns, {{438.00, 359.00}} },
    719         { 235762377220000ns, {{425.00, 423.00}} },
    720         { 235762379608561ns, {{421.31, 441.17}} },
    721         { 235762385698000ns, {{412.00, 528.00}} },
    722         { 235762394133000ns, {{406.00, 648.00}} },
    723         { 235762396429369ns, {{404.37, 680.67}} },
    724         { 235762396429369ns, {{404.37, 680.67}} }, //ACTION_UP
    725     };
    726     computeAndCheckVelocity("impulse", motions, AMOTION_EVENT_AXIS_Y, 14227.0224);
    727     computeAndCheckVelocity("lsq2", motions, AMOTION_EVENT_AXIS_Y, 16064.685547);
    728 }
    729 
    730 
    731 TEST_F(VelocityTrackerTest, SailfishFlingDownFast2) {
    732     // Sailfish - fling down - fast - 2
    733     std::vector<MotionEventEntry> motions = {
    734         { 235772487188000ns, {{576.00, 204.00}} },
    735         { 235772495159000ns, {{553.00, 236.00}} },
    736         { 235772503568000ns, {{551.00, 240.00}} },
    737         { 235772508192247ns, {{545.55, 254.17}} },
    738         { 235772512051000ns, {{541.00, 266.00}} },
    739         { 235772520794000ns, {{520.00, 337.00}} },
    740         { 235772525015263ns, {{508.92, 394.43}} },
    741         { 235772529174000ns, {{498.00, 451.00}} },
    742         { 235772537635000ns, {{484.00, 589.00}} },
    743         { 235772537635000ns, {{484.00, 589.00}} }, // ACTION_UP
    744     };
    745     computeAndCheckVelocity("impulse", motions, AMOTION_EVENT_AXIS_Y, 18660.048828);
    746     computeAndCheckVelocity("lsq2", motions, AMOTION_EVENT_AXIS_Y, 16918.439453);
    747 }
    748 
    749 
    750 TEST_F(VelocityTrackerTest, SailfishFlingDownFast3) {
    751     // Sailfish - fling down - fast - 3
    752     std::vector<MotionEventEntry> motions = {
    753         { 507650295000ns, {{628.00, 233.00}} },
    754         { 507658234000ns, {{605.00, 269.00}} },
    755         { 507666784000ns, {{601.00, 274.00}} },
    756         { 507669660483ns, {{599.65, 275.68}} },
    757         { 507675427000ns, {{582.00, 308.00}} },
    758         { 507683740000ns, {{541.00, 404.00}} },
    759         { 507686506238ns, {{527.36, 435.95}} },
    760         { 507692220000ns, {{487.00, 581.00}} },
    761         { 507700707000ns, {{454.00, 792.00}} },
    762         { 507703352649ns, {{443.71, 857.77}} },
    763         { 507703352649ns, {{443.71, 857.77}} }, // ACTION_UP
    764     };
    765     computeAndCheckVelocity("impulse", motions, AMOTION_EVENT_AXIS_X, -4111.8173);
    766     computeAndCheckVelocity("lsq2", motions, AMOTION_EVENT_AXIS_X, -6388.48877);
    767     computeAndCheckVelocity("impulse", motions, AMOTION_EVENT_AXIS_Y, 29765.908203);
    768     computeAndCheckVelocity("lsq2", motions, AMOTION_EVENT_AXIS_Y, 28354.796875);
    769 }
    770 
    771 /**
    772  * ================== Multiple pointers ============================================================
    773  *
    774  * Three fingers quickly tap the screen. Since this is a tap, the velocities should be zero.
    775  * If the events with POINTER_UP or POINTER_DOWN are not handled correctly (these should not be
    776  * part of the fitted data), this can cause large velocity values to be reported instead.
    777  */
    778 TEST_F(VelocityTrackerTest, LeastSquaresVelocityTrackerStrategyEstimator_ThreeFingerTap) {
    779     std::vector<MotionEventEntry> motions = {
    780         { 0us,      {{1063, 1128}, {NAN, NAN}, {NAN, NAN}} },
    781         { 10800us,  {{1063, 1128}, {682, 1318}, {NAN, NAN}} }, // POINTER_DOWN
    782         { 10800us,  {{1063, 1128}, {682, 1318}, {397, 1747}} }, // POINTER_DOWN
    783         { 267300us, {{1063, 1128}, {682, 1318}, {397, 1747}} }, // POINTER_UP
    784         { 267300us, {{1063, 1128}, {NAN, NAN}, {397, 1747}} }, // POINTER_UP
    785         { 272700us, {{1063, 1128}, {NAN, NAN}, {NAN, NAN}} },
    786     };
    787 
    788     // Velocity should actually be zero, but we expect 0.016 here instead.
    789     // This is close enough to zero, and is likely caused by division by a very small number.
    790     computeAndCheckVelocity("lsq2", motions, AMOTION_EVENT_AXIS_X, -0.016);
    791     computeAndCheckVelocity("lsq2", motions, AMOTION_EVENT_AXIS_Y, -0.016);
    792     computeAndCheckVelocity("impulse", motions, AMOTION_EVENT_AXIS_X, 0);
    793     computeAndCheckVelocity("impulse", motions, AMOTION_EVENT_AXIS_Y, 0);
    794 }
    795 
    796 /**
    797  * ================== Tests for least squares fitting ==============================================
    798  *
    799  * Special care must be taken when constructing tests for LeastSquaresVelocityTrackerStrategy
    800  * getEstimator function. In particular:
    801  * - inside the function, time gets converted from nanoseconds to seconds
    802  *   before being used in the fit.
    803  * - any values that are older than 100 ms are being discarded.
    804  * - the newest time gets subtracted from all of the other times before being used in the fit.
    805  * So these tests have to be designed with those limitations in mind.
    806  *
    807  * General approach for the tests below:
    808  * We only used timestamps in milliseconds, 0 ms, 1 ms, and 2 ms, to be sure that
    809  * we are well within the HORIZON range.
    810  * When specifying the expected values of the coefficients, we treat the x values as if
    811  * they were in ms. Then, to adjust for the time units, the coefficients get progressively
    812  * multiplied by powers of 1E3.
    813  * For example:
    814  * data: t(ms), x
    815  *        1 ms, 1
    816  *        2 ms, 4
    817  *        3 ms, 9
    818  * The coefficients are (0, 0, 1).
    819  * In the test, we would convert these coefficients to (0*(1E3)^0, 0*(1E3)^1, 1*(1E3)^2).
    820  */
    821 TEST_F(VelocityTrackerTest, LeastSquaresVelocityTrackerStrategyEstimator_Constant) {
    822     std::vector<MotionEventEntry> motions = {
    823         { 0ms, {{1, 1}} }, // 0 s
    824         { 1ms, {{1, 1}} }, // 0.001 s
    825         { 2ms, {{1, 1}} }, // 0.002 s
    826         { 2ms, {{1, 1}} }, // ACTION_UP
    827     };
    828     // The data used for the fit will be as follows:
    829     // time(s), position
    830     // -0.002, 1
    831     // -0.001, 1
    832     // -0.ms, 1
    833     computeAndCheckQuadraticEstimate(motions, std::array<float, 3>({1, 0, 0}));
    834 }
    835 
    836 /*
    837  * Straight line y = x :: the constant and quadratic coefficients are zero.
    838  */
    839 TEST_F(VelocityTrackerTest, LeastSquaresVelocityTrackerStrategyEstimator_Linear) {
    840     std::vector<MotionEventEntry> motions = {
    841         { 0ms, {{-2, -2}} },
    842         { 1ms, {{-1, -1}} },
    843         { 2ms, {{-0, -0}} },
    844         { 2ms, {{-0, -0}} }, // ACTION_UP
    845     };
    846     // The data used for the fit will be as follows:
    847     // time(s), position
    848     // -0.002, -2
    849     // -0.001, -1
    850     // -0.000,  0
    851     computeAndCheckQuadraticEstimate(motions, std::array<float, 3>({0, 1E3, 0}));
    852 }
    853 
    854 /*
    855  * Parabola
    856  */
    857 TEST_F(VelocityTrackerTest, LeastSquaresVelocityTrackerStrategyEstimator_Parabolic) {
    858     std::vector<MotionEventEntry> motions = {
    859         { 0ms, {{1, 1}} },
    860         { 1ms, {{4, 4}} },
    861         { 2ms, {{8, 8}} },
    862         { 2ms, {{8, 8}} }, // ACTION_UP
    863     };
    864     // The data used for the fit will be as follows:
    865     // time(s), position
    866     // -0.002, 1
    867     // -0.001, 4
    868     // -0.000, 8
    869     computeAndCheckQuadraticEstimate(motions, std::array<float, 3>({8, 4.5E3, 0.5E6}));
    870 }
    871 
    872 /*
    873  * Parabola
    874  */
    875 TEST_F(VelocityTrackerTest, LeastSquaresVelocityTrackerStrategyEstimator_Parabolic2) {
    876     std::vector<MotionEventEntry> motions = {
    877         { 0ms, {{1, 1}} },
    878         { 1ms, {{4, 4}} },
    879         { 2ms, {{9, 9}} },
    880         { 2ms, {{9, 9}} }, // ACTION_UP
    881     };
    882     // The data used for the fit will be as follows:
    883     // time(s), position
    884     // -0.002, 1
    885     // -0.001, 4
    886     // -0.000, 9
    887     computeAndCheckQuadraticEstimate(motions, std::array<float, 3>({9, 6E3, 1E6}));
    888 }
    889 
    890 /*
    891  * Parabola :: y = x^2 :: the constant and linear coefficients are zero.
    892  */
    893 TEST_F(VelocityTrackerTest, LeastSquaresVelocityTrackerStrategyEstimator_Parabolic3) {
    894     std::vector<MotionEventEntry> motions = {
    895         { 0ms, {{4, 4}} },
    896         { 1ms, {{1, 1}} },
    897         { 2ms, {{0, 0}} },
    898         { 2ms, {{0, 0}} }, // ACTION_UP
    899     };
    900     // The data used for the fit will be as follows:
    901     // time(s), position
    902     // -0.002, 4
    903     // -0.001, 1
    904     // -0.000, 0
    905     computeAndCheckQuadraticEstimate(motions, std::array<float, 3>({0, 0E3, 1E6}));
    906 }
    907 
    908 } // namespace android
    909