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      1 /*
      2  * Copyright (C) 2013 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 package com.android.deskclock.widget.sgv;
     18 
     19 import android.content.Context;
     20 import android.hardware.SensorManager;
     21 import android.util.FloatMath;
     22 import android.util.Log;
     23 import android.view.ViewConfiguration;
     24 import android.view.animation.AnimationUtils;
     25 import android.view.animation.Interpolator;
     26 
     27 /**
     28  * Temporarily copied from the framework so that StaggeredGridView can properly show the bounce at
     29  * the end of flings. See TODO and b/8252293 for more info.
     30  */
     31 /**
     32  * This class encapsulates scrolling with the ability to overshoot the bounds
     33  * of a scrolling operation. This class is a drop-in replacement for
     34  * {@link android.widget.Scroller} in most cases.
     35  */
     36 public class OverScrollerSGV {
     37     private int mMode;
     38 
     39     private final SplineOverScroller mScrollerX;
     40     private final SplineOverScroller mScrollerY;
     41 
     42     private Interpolator mInterpolator;
     43 
     44     private final boolean mFlywheel;
     45 
     46     private static final int DEFAULT_DURATION = 250;
     47     private static final int SCROLL_MODE = 0;
     48     private static final int FLING_MODE = 1;
     49 
     50     /**
     51      * Creates an OverScroller with a viscous fluid scroll interpolator and flywheel.
     52      * @param context
     53      */
     54     public OverScrollerSGV(Context context) {
     55         this(context, null);
     56     }
     57 
     58     /**
     59      * Creates an OverScroller with flywheel enabled.
     60      * @param context The context of this application.
     61      * @param interpolator The scroll interpolator. If null, a default (viscous) interpolator will
     62      * be used.
     63      */
     64     public OverScrollerSGV(Context context, Interpolator interpolator) {
     65         this(context, interpolator, true);
     66     }
     67 
     68     /**
     69      * Creates an OverScroller.
     70      * @param context The context of this application.
     71      * @param interpolator The scroll interpolator. If null, a default (viscous) interpolator will
     72      * be used.
     73      * @param flywheel If true, successive fling motions will keep on increasing scroll speed.
     74      * @hide
     75      */
     76     public OverScrollerSGV(Context context, Interpolator interpolator, boolean flywheel) {
     77         mInterpolator = interpolator;
     78         mFlywheel = flywheel;
     79         mScrollerX = new SplineOverScroller(context);
     80         mScrollerY = new SplineOverScroller(context);
     81     }
     82 
     83     /**
     84      * Creates an OverScroller with flywheel enabled.
     85      * @param context The context of this application.
     86      * @param interpolator The scroll interpolator. If null, a default (viscous) interpolator will
     87      * be used.
     88      * @param bounceCoefficientX A value between 0 and 1 that will determine the proportion of the
     89      * velocity which is preserved in the bounce when the horizontal edge is reached. A null value
     90      * means no bounce. This behavior is no longer supported and this coefficient has no effect.
     91      * @param bounceCoefficientY Same as bounceCoefficientX but for the vertical direction. This
     92      * behavior is no longer supported and this coefficient has no effect.
     93      * !deprecated Use {!link #OverScroller(Context, Interpolator, boolean)} instead.
     94      */
     95     public OverScrollerSGV(Context context, Interpolator interpolator,
     96             float bounceCoefficientX, float bounceCoefficientY) {
     97         this(context, interpolator, true);
     98     }
     99 
    100     /**
    101      * Creates an OverScroller.
    102      * @param context The context of this application.
    103      * @param interpolator The scroll interpolator. If null, a default (viscous) interpolator will
    104      * be used.
    105      * @param bounceCoefficientX A value between 0 and 1 that will determine the proportion of the
    106      * velocity which is preserved in the bounce when the horizontal edge is reached. A null value
    107      * means no bounce. This behavior is no longer supported and this coefficient has no effect.
    108      * @param bounceCoefficientY Same as bounceCoefficientX but for the vertical direction. This
    109      * behavior is no longer supported and this coefficient has no effect.
    110      * @param flywheel If true, successive fling motions will keep on increasing scroll speed.
    111      * !deprecated Use {!link OverScroller(Context, Interpolator, boolean)} instead.
    112      */
    113     public OverScrollerSGV(Context context, Interpolator interpolator,
    114             float bounceCoefficientX, float bounceCoefficientY, boolean flywheel) {
    115         this(context, interpolator, flywheel);
    116     }
    117 
    118     void setInterpolator(Interpolator interpolator) {
    119         mInterpolator = interpolator;
    120     }
    121 
    122     /**
    123      * The amount of friction applied to flings. The default value
    124      * is {@link ViewConfiguration#getScrollFriction}.
    125      *
    126      * @param friction A scalar dimension-less value representing the coefficient of
    127      *         friction.
    128      */
    129     public final void setFriction(float friction) {
    130         mScrollerX.setFriction(friction);
    131         mScrollerY.setFriction(friction);
    132     }
    133 
    134     /**
    135      *
    136      * Returns whether the scroller has finished scrolling.
    137      *
    138      * @return True if the scroller has finished scrolling, false otherwise.
    139      */
    140     public final boolean isFinished() {
    141         return mScrollerX.mFinished && mScrollerY.mFinished;
    142     }
    143 
    144     /**
    145      * Force the finished field to a particular value. Contrary to
    146      * {@link #abortAnimation()}, forcing the animation to finished
    147      * does NOT cause the scroller to move to the final x and y
    148      * position.
    149      *
    150      * @param finished The new finished value.
    151      */
    152     public final void forceFinished(boolean finished) {
    153         mScrollerX.mFinished = mScrollerY.mFinished = finished;
    154     }
    155 
    156     /**
    157      * Returns the current X offset in the scroll.
    158      *
    159      * @return The new X offset as an absolute distance from the origin.
    160      */
    161     public final int getCurrX() {
    162         return mScrollerX.mCurrentPosition;
    163     }
    164 
    165     /**
    166      * Returns the current Y offset in the scroll.
    167      *
    168      * @return The new Y offset as an absolute distance from the origin.
    169      */
    170     public final int getCurrY() {
    171         return mScrollerY.mCurrentPosition;
    172     }
    173 
    174     /**
    175      * Returns the absolute value of the current velocity.
    176      *
    177      * @return The original velocity less the deceleration, norm of the X and Y velocity vector.
    178      */
    179     public float getCurrVelocity() {
    180         float squaredNorm = mScrollerX.mCurrVelocity * mScrollerX.mCurrVelocity;
    181         squaredNorm += mScrollerY.mCurrVelocity * mScrollerY.mCurrVelocity;
    182         return FloatMath.sqrt(squaredNorm);
    183     }
    184 
    185     /**
    186      * Returns the start X offset in the scroll.
    187      *
    188      * @return The start X offset as an absolute distance from the origin.
    189      */
    190     public final int getStartX() {
    191         return mScrollerX.mStart;
    192     }
    193 
    194     /**
    195      * Returns the start Y offset in the scroll.
    196      *
    197      * @return The start Y offset as an absolute distance from the origin.
    198      */
    199     public final int getStartY() {
    200         return mScrollerY.mStart;
    201     }
    202 
    203     /**
    204      * Returns where the scroll will end. Valid only for "fling" scrolls.
    205      *
    206      * @return The final X offset as an absolute distance from the origin.
    207      */
    208     public final int getFinalX() {
    209         return mScrollerX.mFinal;
    210     }
    211 
    212     /**
    213      * Returns where the scroll will end. Valid only for "fling" scrolls.
    214      *
    215      * @return The final Y offset as an absolute distance from the origin.
    216      */
    217     public final int getFinalY() {
    218         return mScrollerY.mFinal;
    219     }
    220 
    221     /**
    222      * Returns how long the scroll event will take, in milliseconds.
    223      *
    224      * @return The duration of the scroll in milliseconds.
    225      *
    226      * @hide Pending removal once nothing depends on it
    227      * @deprecated OverScrollers don't necessarily have a fixed duration.
    228      *             This function will lie to the best of its ability.
    229      */
    230     @Deprecated
    231     public final int getDuration() {
    232         return Math.max(mScrollerX.mDuration, mScrollerY.mDuration);
    233     }
    234 
    235     /**
    236      * Extend the scroll animation. This allows a running animation to scroll
    237      * further and longer, when used with {@link #setFinalX(int)} or {@link #setFinalY(int)}.
    238      *
    239      * @param extend Additional time to scroll in milliseconds.
    240      * @see #setFinalX(int)
    241      * @see #setFinalY(int)
    242      *
    243      * @hide Pending removal once nothing depends on it
    244      * @deprecated OverScrollers don't necessarily have a fixed duration.
    245      *             Instead of setting a new final position and extending
    246      *             the duration of an existing scroll, use startScroll
    247      *             to begin a new animation.
    248      */
    249     @Deprecated
    250     public void extendDuration(int extend) {
    251         mScrollerX.extendDuration(extend);
    252         mScrollerY.extendDuration(extend);
    253     }
    254 
    255     /**
    256      * Sets the final position (X) for this scroller.
    257      *
    258      * @param newX The new X offset as an absolute distance from the origin.
    259      * @see #extendDuration(int)
    260      * @see #setFinalY(int)
    261      *
    262      * @hide Pending removal once nothing depends on it
    263      * @deprecated OverScroller's final position may change during an animation.
    264      *             Instead of setting a new final position and extending
    265      *             the duration of an existing scroll, use startScroll
    266      *             to begin a new animation.
    267      */
    268     @Deprecated
    269     public void setFinalX(int newX) {
    270         mScrollerX.setFinalPosition(newX);
    271     }
    272 
    273     /**
    274      * Sets the final position (Y) for this scroller.
    275      *
    276      * @param newY The new Y offset as an absolute distance from the origin.
    277      * @see #extendDuration(int)
    278      * @see #setFinalX(int)
    279      *
    280      * @hide Pending removal once nothing depends on it
    281      * @deprecated OverScroller's final position may change during an animation.
    282      *             Instead of setting a new final position and extending
    283      *             the duration of an existing scroll, use startScroll
    284      *             to begin a new animation.
    285      */
    286     @Deprecated
    287     public void setFinalY(int newY) {
    288         mScrollerY.setFinalPosition(newY);
    289     }
    290 
    291     /**
    292      * Call this when you want to know the new location. If it returns true, the
    293      * animation is not yet finished.
    294      */
    295     public boolean computeScrollOffset() {
    296         if (isFinished()) {
    297             return false;
    298         }
    299 
    300         switch (mMode) {
    301             case SCROLL_MODE:
    302                 long time = AnimationUtils.currentAnimationTimeMillis();
    303                 // Any scroller can be used for time, since they were started
    304                 // together in scroll mode. We use X here.
    305                 final long elapsedTime = time - mScrollerX.mStartTime;
    306 
    307                 final int duration = mScrollerX.mDuration;
    308                 if (elapsedTime < duration) {
    309                     float q = (float) (elapsedTime) / duration;
    310 
    311                     if (mInterpolator == null) {
    312                         q = mInterpolator.getInterpolation(q);
    313                     } else {
    314                         q = mInterpolator.getInterpolation(q);
    315                     }
    316 
    317                     mScrollerX.updateScroll(q);
    318                     mScrollerY.updateScroll(q);
    319                 } else {
    320                     abortAnimation();
    321                 }
    322                 break;
    323 
    324             case FLING_MODE:
    325                 if (!mScrollerX.mFinished) {
    326                     if (!mScrollerX.update()) {
    327                         if (!mScrollerX.continueWhenFinished()) {
    328                             mScrollerX.finish();
    329                         }
    330                     }
    331                 }
    332 
    333                 if (!mScrollerY.mFinished) {
    334                     if (!mScrollerY.update()) {
    335                         if (!mScrollerY.continueWhenFinished()) {
    336                             mScrollerY.finish();
    337                         }
    338                     }
    339                 }
    340 
    341                 break;
    342         }
    343 
    344         return true;
    345     }
    346 
    347     /**
    348      * Start scrolling by providing a starting point and the distance to travel.
    349      * The scroll will use the default value of 250 milliseconds for the
    350      * duration.
    351      *
    352      * @param startX Starting horizontal scroll offset in pixels. Positive
    353      *        numbers will scroll the content to the left.
    354      * @param startY Starting vertical scroll offset in pixels. Positive numbers
    355      *        will scroll the content up.
    356      * @param dx Horizontal distance to travel. Positive numbers will scroll the
    357      *        content to the left.
    358      * @param dy Vertical distance to travel. Positive numbers will scroll the
    359      *        content up.
    360      */
    361     public void startScroll(int startX, int startY, int dx, int dy) {
    362         startScroll(startX, startY, dx, dy, DEFAULT_DURATION);
    363     }
    364 
    365     /**
    366      * Start scrolling by providing a starting point and the distance to travel.
    367      *
    368      * @param startX Starting horizontal scroll offset in pixels. Positive
    369      *        numbers will scroll the content to the left.
    370      * @param startY Starting vertical scroll offset in pixels. Positive numbers
    371      *        will scroll the content up.
    372      * @param dx Horizontal distance to travel. Positive numbers will scroll the
    373      *        content to the left.
    374      * @param dy Vertical distance to travel. Positive numbers will scroll the
    375      *        content up.
    376      * @param duration Duration of the scroll in milliseconds.
    377      */
    378     public void startScroll(int startX, int startY, int dx, int dy, int duration) {
    379         mMode = SCROLL_MODE;
    380         mScrollerX.startScroll(startX, dx, duration);
    381         mScrollerY.startScroll(startY, dy, duration);
    382     }
    383 
    384     /**
    385      * Call this when you want to 'spring back' into a valid coordinate range.
    386      *
    387      * @param startX Starting X coordinate
    388      * @param startY Starting Y coordinate
    389      * @param minX Minimum valid X value
    390      * @param maxX Maximum valid X value
    391      * @param minY Minimum valid Y value
    392      * @param maxY Minimum valid Y value
    393      * @return true if a springback was initiated, false if startX and startY were
    394      *          already within the valid range.
    395      */
    396     public boolean springBack(int startX, int startY, int minX, int maxX, int minY, int maxY) {
    397         mMode = FLING_MODE;
    398 
    399         // Make sure both methods are called.
    400         final boolean spingbackX = mScrollerX.springback(startX, minX, maxX);
    401         final boolean spingbackY = mScrollerY.springback(startY, minY, maxY);
    402         return spingbackX || spingbackY;
    403     }
    404 
    405     public void fling(int startX, int startY, int velocityX, int velocityY,
    406             int minX, int maxX, int minY, int maxY) {
    407         fling(startX, startY, velocityX, velocityY, minX, maxX, minY, maxY, 0, 0);
    408     }
    409 
    410     /**
    411      * Start scrolling based on a fling gesture. The distance traveled will
    412      * depend on the initial velocity of the fling.
    413      *
    414      * @param startX Starting point of the scroll (X)
    415      * @param startY Starting point of the scroll (Y)
    416      * @param velocityX Initial velocity of the fling (X) measured in pixels per
    417      *            second.
    418      * @param velocityY Initial velocity of the fling (Y) measured in pixels per
    419      *            second
    420      * @param minX Minimum X value. The scroller will not scroll past this point
    421      *            unless overX > 0. If overfling is allowed, it will use minX as
    422      *            a springback boundary.
    423      * @param maxX Maximum X value. The scroller will not scroll past this point
    424      *            unless overX > 0. If overfling is allowed, it will use maxX as
    425      *            a springback boundary.
    426      * @param minY Minimum Y value. The scroller will not scroll past this point
    427      *            unless overY > 0. If overfling is allowed, it will use minY as
    428      *            a springback boundary.
    429      * @param maxY Maximum Y value. The scroller will not scroll past this point
    430      *            unless overY > 0. If overfling is allowed, it will use maxY as
    431      *            a springback boundary.
    432      * @param overX Overfling range. If > 0, horizontal overfling in either
    433      *            direction will be possible.
    434      * @param overY Overfling range. If > 0, vertical overfling in either
    435      *            direction will be possible.
    436      */
    437     public void fling(int startX, int startY, int velocityX, int velocityY,
    438             int minX, int maxX, int minY, int maxY, int overX, int overY) {
    439         // Continue a scroll or fling in progress
    440         if (mFlywheel && !isFinished()) {
    441             float oldVelocityX = mScrollerX.mCurrVelocity;
    442             float oldVelocityY = mScrollerY.mCurrVelocity;
    443             if (Math.signum(velocityX) == Math.signum(oldVelocityX) &&
    444                     Math.signum(velocityY) == Math.signum(oldVelocityY)) {
    445                 velocityX += oldVelocityX;
    446                 velocityY += oldVelocityY;
    447             }
    448         }
    449 
    450         mMode = FLING_MODE;
    451         mScrollerX.fling(startX, velocityX, minX, maxX, overX);
    452         mScrollerY.fling(startY, velocityY, minY, maxY, overY);
    453     }
    454 
    455     /**
    456      * Notify the scroller that we've reached a horizontal boundary.
    457      * Normally the information to handle this will already be known
    458      * when the animation is started, such as in a call to one of the
    459      * fling functions. However there are cases where this cannot be known
    460      * in advance. This function will transition the current motion and
    461      * animate from startX to finalX as appropriate.
    462      *
    463      * @param startX Starting/current X position
    464      * @param finalX Desired final X position
    465      * @param overX Magnitude of overscroll allowed. This should be the maximum
    466      *              desired distance from finalX. Absolute value - must be positive.
    467      */
    468     public void notifyHorizontalEdgeReached(int startX, int finalX, int overX) {
    469         mScrollerX.notifyEdgeReached(startX, finalX, overX);
    470     }
    471 
    472     /**
    473      * Notify the scroller that we've reached a vertical boundary.
    474      * Normally the information to handle this will already be known
    475      * when the animation is started, such as in a call to one of the
    476      * fling functions. However there are cases where this cannot be known
    477      * in advance. This function will animate a parabolic motion from
    478      * startY to finalY.
    479      *
    480      * @param startY Starting/current Y position
    481      * @param finalY Desired final Y position
    482      * @param overY Magnitude of overscroll allowed. This should be the maximum
    483      *              desired distance from finalY. Absolute value - must be positive.
    484      */
    485     public void notifyVerticalEdgeReached(int startY, int finalY, int overY) {
    486         mScrollerY.notifyEdgeReached(startY, finalY, overY);
    487     }
    488 
    489     /**
    490      * Returns whether the current Scroller is currently returning to a valid position.
    491      * Valid bounds were provided by the
    492      * {@link #fling(int, int, int, int, int, int, int, int, int, int)} method.
    493      *
    494      * One should check this value before calling
    495      * {@link #startScroll(int, int, int, int)} as the interpolation currently in progress
    496      * to restore a valid position will then be stopped. The caller has to take into account
    497      * the fact that the started scroll will start from an overscrolled position.
    498      *
    499      * @return true when the current position is overscrolled and in the process of
    500      *         interpolating back to a valid value.
    501      */
    502     public boolean isOverScrolled() {
    503         return ((!mScrollerX.mFinished &&
    504                 mScrollerX.mState != SplineOverScroller.SPLINE) ||
    505                 (!mScrollerY.mFinished &&
    506                         mScrollerY.mState != SplineOverScroller.SPLINE));
    507     }
    508 
    509     /**
    510      * Stops the animation. Contrary to {@link #forceFinished(boolean)},
    511      * aborting the animating causes the scroller to move to the final x and y
    512      * positions.
    513      *
    514      * @see #forceFinished(boolean)
    515      */
    516     public void abortAnimation() {
    517         mScrollerX.finish();
    518         mScrollerY.finish();
    519     }
    520 
    521     /**
    522      * Returns the time elapsed since the beginning of the scrolling.
    523      *
    524      * @return The elapsed time in milliseconds.
    525      *
    526      * @hide
    527      */
    528     public int timePassed() {
    529         final long time = AnimationUtils.currentAnimationTimeMillis();
    530         final long startTime = Math.min(mScrollerX.mStartTime, mScrollerY.mStartTime);
    531         return (int) (time - startTime);
    532     }
    533 
    534     /**
    535      * @hide
    536      */
    537     public boolean isScrollingInDirection(float xvel, float yvel) {
    538         final int dx = mScrollerX.mFinal - mScrollerX.mStart;
    539         final int dy = mScrollerY.mFinal - mScrollerY.mStart;
    540         return !isFinished() && Math.signum(xvel) == Math.signum(dx) &&
    541                 Math.signum(yvel) == Math.signum(dy);
    542     }
    543 
    544     static class SplineOverScroller {
    545         // Initial position
    546         private int mStart;
    547 
    548         // Current position
    549         private int mCurrentPosition;
    550 
    551         // Final position
    552         private int mFinal;
    553 
    554         // Initial velocity
    555         private int mVelocity;
    556 
    557         // Current velocity
    558         private float mCurrVelocity;
    559 
    560         // Constant current deceleration
    561         private float mDeceleration;
    562 
    563         // Animation starting time, in system milliseconds
    564         private long mStartTime;
    565 
    566         // Animation duration, in milliseconds
    567         private int mDuration;
    568 
    569         // Duration to complete spline component of animation
    570         private int mSplineDuration;
    571 
    572         // Distance to travel along spline animation
    573         private int mSplineDistance;
    574 
    575         // Whether the animation is currently in progress
    576         private boolean mFinished;
    577 
    578         // The allowed overshot distance before boundary is reached.
    579         private int mOver;
    580 
    581         // Fling friction
    582         private float mFlingFriction = ViewConfiguration.getScrollFriction();
    583 
    584         // Current state of the animation.
    585         private int mState = SPLINE;
    586 
    587         // Constant gravity value, used in the deceleration phase.
    588         private static final float GRAVITY = 2000.0f;
    589 
    590         // A context-specific coefficient adjusted to physical values.
    591         private final float mPhysicalCoeff;
    592 
    593         private static float DECELERATION_RATE = (float) (Math.log(0.78) / Math.log(0.9));
    594         private static final float INFLEXION = 0.35f; // Tension lines cross at (INFLEXION, 1)
    595         private static final float START_TENSION = 0.5f;
    596         private static final float END_TENSION = 1.0f;
    597         private static final float P1 = START_TENSION * INFLEXION;
    598         private static final float P2 = 1.0f - END_TENSION * (1.0f - INFLEXION);
    599 
    600         private static final int NB_SAMPLES = 100;
    601         private static final float[] SPLINE_POSITION = new float[NB_SAMPLES + 1];
    602         private static final float[] SPLINE_TIME = new float[NB_SAMPLES + 1];
    603 
    604         private static final int SPLINE = 0;
    605         private static final int CUBIC = 1;
    606         private static final int BALLISTIC = 2;
    607 
    608         static {
    609             float x_min = 0.0f;
    610             float y_min = 0.0f;
    611             for (int i = 0; i < NB_SAMPLES; i++) {
    612                 final float alpha = (float) i / NB_SAMPLES;
    613 
    614                 float x_max = 1.0f;
    615                 float x, tx, coef;
    616                 while (true) {
    617                     x = x_min + (x_max - x_min) / 2.0f;
    618                     coef = 3.0f * x * (1.0f - x);
    619                     tx = coef * ((1.0f - x) * P1 + x * P2) + x * x * x;
    620                     if (Math.abs(tx - alpha) < 1E-5) break;
    621                     if (tx > alpha) x_max = x;
    622                     else x_min = x;
    623                 }
    624                 SPLINE_POSITION[i] = coef * ((1.0f - x) * START_TENSION + x) + x * x * x;
    625 
    626                 float y_max = 1.0f;
    627                 float y, dy;
    628                 while (true) {
    629                     y = y_min + (y_max - y_min) / 2.0f;
    630                     coef = 3.0f * y * (1.0f - y);
    631                     dy = coef * ((1.0f - y) * START_TENSION + y) + y * y * y;
    632                     if (Math.abs(dy - alpha) < 1E-5) break;
    633                     if (dy > alpha) y_max = y;
    634                     else y_min = y;
    635                 }
    636                 SPLINE_TIME[i] = coef * ((1.0f - y) * P1 + y * P2) + y * y * y;
    637             }
    638             SPLINE_POSITION[NB_SAMPLES] = SPLINE_TIME[NB_SAMPLES] = 1.0f;
    639         }
    640 
    641         void setFriction(float friction) {
    642             mFlingFriction = friction;
    643         }
    644 
    645         SplineOverScroller(Context context) {
    646             mFinished = true;
    647             final float ppi = context.getResources().getDisplayMetrics().density * 160.0f;
    648             mPhysicalCoeff = SensorManager.GRAVITY_EARTH // g (m/s^2)
    649                     * 39.37f // inch/meter
    650                     * ppi
    651                     * 0.84f; // look and feel tuning
    652         }
    653 
    654         void updateScroll(float q) {
    655             mCurrentPosition = mStart + Math.round(q * (mFinal - mStart));
    656         }
    657 
    658         /*
    659          * Get a signed deceleration that will reduce the velocity.
    660          */
    661         static private float getDeceleration(int velocity) {
    662             return velocity > 0 ? -GRAVITY : GRAVITY;
    663         }
    664 
    665         /*
    666          * Modifies mDuration to the duration it takes to get from start to newFinal using the
    667          * spline interpolation. The previous duration was needed to get to oldFinal.
    668          */
    669         private void adjustDuration(int start, int oldFinal, int newFinal) {
    670             final int oldDistance = oldFinal - start;
    671             final int newDistance = newFinal - start;
    672             final float x = Math.abs((float) newDistance / oldDistance);
    673             final int index = (int) (NB_SAMPLES * x);
    674             if (index < NB_SAMPLES) {
    675                 final float x_inf = (float) index / NB_SAMPLES;
    676                 final float x_sup = (float) (index + 1) / NB_SAMPLES;
    677                 final float t_inf = SPLINE_TIME[index];
    678                 final float t_sup = SPLINE_TIME[index + 1];
    679                 final float timeCoef = t_inf + (x - x_inf) / (x_sup - x_inf) * (t_sup - t_inf);
    680                 mDuration *= timeCoef;
    681             }
    682         }
    683 
    684         void startScroll(int start, int distance, int duration) {
    685             mFinished = false;
    686 
    687             mStart = start;
    688             mFinal = start + distance;
    689 
    690             mStartTime = AnimationUtils.currentAnimationTimeMillis();
    691             mDuration = duration;
    692 
    693             // Unused
    694             mDeceleration = 0.0f;
    695             mVelocity = 0;
    696         }
    697 
    698         void finish() {
    699             mCurrentPosition = mFinal;
    700             // Not reset since WebView relies on this value for fast fling.
    701             // TODO: restore when WebView uses the fast fling implemented in this class.
    702             // mCurrVelocity = 0.0f;
    703             mFinished = true;
    704         }
    705 
    706         void setFinalPosition(int position) {
    707             mFinal = position;
    708             mFinished = false;
    709         }
    710 
    711         void extendDuration(int extend) {
    712             final long time = AnimationUtils.currentAnimationTimeMillis();
    713             final int elapsedTime = (int) (time - mStartTime);
    714             mDuration = elapsedTime + extend;
    715             mFinished = false;
    716         }
    717 
    718         boolean springback(int start, int min, int max) {
    719             mFinished = true;
    720 
    721             mStart = mFinal = start;
    722             mVelocity = 0;
    723 
    724             mStartTime = AnimationUtils.currentAnimationTimeMillis();
    725             mDuration = 0;
    726 
    727             if (start < min) {
    728                 startSpringback(start, min, 0);
    729             } else if (start > max) {
    730                 startSpringback(start, max, 0);
    731             }
    732 
    733             return !mFinished;
    734         }
    735 
    736         private void startSpringback(int start, int end, int velocity) {
    737             // mStartTime has been set
    738             mFinished = false;
    739             mState = CUBIC;
    740             mStart = start;
    741             mFinal = end;
    742             final int delta = start - end;
    743             mDeceleration = getDeceleration(delta);
    744             // TODO take velocity into account
    745             mVelocity = -delta; // only sign is used
    746             mOver = Math.abs(delta);
    747             mDuration = (int) (1000.0 * Math.sqrt(-2.0 * delta / mDeceleration));
    748         }
    749 
    750         void fling(int start, int velocity, int min, int max, int over) {
    751             mOver = over;
    752             mFinished = false;
    753             mCurrVelocity = mVelocity = velocity;
    754             mDuration = mSplineDuration = 0;
    755             mStartTime = AnimationUtils.currentAnimationTimeMillis();
    756             mCurrentPosition = mStart = start;
    757 
    758             if (start > max || start < min) {
    759                 startAfterEdge(start, min, max, velocity);
    760                 return;
    761             }
    762 
    763             mState = SPLINE;
    764             double totalDistance = 0.0;
    765 
    766             if (velocity != 0) {
    767                 mDuration = mSplineDuration = getSplineFlingDuration(velocity);
    768                 totalDistance = getSplineFlingDistance(velocity);
    769             }
    770 
    771             mSplineDistance = (int) (totalDistance * Math.signum(velocity));
    772             mFinal = start + mSplineDistance;
    773 
    774             // Clamp to a valid final position
    775             if (mFinal < min) {
    776                 adjustDuration(mStart, mFinal, min);
    777                 mFinal = min;
    778             }
    779 
    780             if (mFinal > max) {
    781                 adjustDuration(mStart, mFinal, max);
    782                 mFinal = max;
    783             }
    784         }
    785 
    786         private double getSplineDeceleration(int velocity) {
    787             return Math.log(INFLEXION * Math.abs(velocity) / (mFlingFriction * mPhysicalCoeff));
    788         }
    789 
    790         private double getSplineFlingDistance(int velocity) {
    791             final double l = getSplineDeceleration(velocity);
    792             final double decelMinusOne = DECELERATION_RATE - 1.0;
    793             return mFlingFriction * mPhysicalCoeff * Math.exp(DECELERATION_RATE / decelMinusOne * l);
    794         }
    795 
    796         /* Returns the duration, expressed in milliseconds */
    797         private int getSplineFlingDuration(int velocity) {
    798             final double l = getSplineDeceleration(velocity);
    799             final double decelMinusOne = DECELERATION_RATE - 1.0;
    800             return (int) (1000.0 * Math.exp(l / decelMinusOne));
    801         }
    802 
    803         private void fitOnBounceCurve(int start, int end, int velocity) {
    804             // Simulate a bounce that started from edge
    805             final float durationToApex = - velocity / mDeceleration;
    806             final float distanceToApex = velocity * velocity / 2.0f / Math.abs(mDeceleration);
    807             final float distanceToEdge = Math.abs(end - start);
    808             final float totalDuration = (float) Math.sqrt(
    809                     2.0 * (distanceToApex + distanceToEdge) / Math.abs(mDeceleration));
    810             mStartTime -= (int) (1000.0f * (totalDuration - durationToApex));
    811             mStart = end;
    812             mVelocity = (int) (- mDeceleration * totalDuration);
    813         }
    814 
    815         private void startBounceAfterEdge(int start, int end, int velocity) {
    816             mDeceleration = getDeceleration(velocity == 0 ? start - end : velocity);
    817             fitOnBounceCurve(start, end, velocity);
    818             onEdgeReached();
    819         }
    820 
    821         private void startAfterEdge(int start, int min, int max, int velocity) {
    822             if (start > min && start < max) {
    823                 Log.e("OverScroller", "startAfterEdge called from a valid position");
    824                 mFinished = true;
    825                 return;
    826             }
    827             final boolean positive = start > max;
    828             final int edge = positive ? max : min;
    829             final int overDistance = start - edge;
    830             boolean keepIncreasing = overDistance * velocity >= 0;
    831             if (keepIncreasing) {
    832                 // Will result in a bounce or a to_boundary depending on velocity.
    833                 startBounceAfterEdge(start, edge, velocity);
    834             } else {
    835                 // TODO: figure out how to absorb the velocity properly.
    836                 final double totalDistance = getSplineFlingDistance(velocity);
    837                 if (false) {
    838                     fling(start, velocity, positive ? min : start, positive ? start : max, mOver);
    839                 } else {
    840                     startSpringback(start, edge, velocity);
    841                 }
    842             }
    843         }
    844 
    845         void notifyEdgeReached(int start, int end, int over) {
    846             // mState is used to detect successive notifications
    847             if (mState == SPLINE) {
    848                 mOver = over;
    849                 mStartTime = AnimationUtils.currentAnimationTimeMillis();
    850                 // We were in fling/scroll mode before: current velocity is such that distance to
    851                 // edge is increasing. This ensures that startAfterEdge will not start a new fling.
    852                 startAfterEdge(start, end, end, (int) mCurrVelocity);
    853             }
    854         }
    855 
    856         private void onEdgeReached() {
    857             // mStart, mVelocity and mStartTime were adjusted to their values when edge was reached.
    858             float distance = mVelocity * mVelocity / (2.0f * Math.abs(mDeceleration));
    859             final float sign = Math.signum(mVelocity);
    860 
    861             if (distance > mOver) {
    862                 // Default deceleration is not sufficient to slow us down before boundary
    863                  mDeceleration = - sign * mVelocity * mVelocity / (2.0f * mOver);
    864                  distance = mOver;
    865             }
    866 
    867             mOver = (int) distance;
    868             mState = BALLISTIC;
    869             mFinal = mStart + (int) (mVelocity > 0 ? distance : -distance);
    870             mDuration = - (int) (1000.0f * mVelocity / mDeceleration);
    871         }
    872 
    873         boolean continueWhenFinished() {
    874             switch (mState) {
    875                 case SPLINE:
    876                     // Duration from start to null velocity
    877                     if (mDuration < mSplineDuration) {
    878                         // If the animation was clamped, we reached the edge
    879                         mStart = mFinal;
    880                         // TODO Better compute speed when edge was reached
    881                         mVelocity = (int) mCurrVelocity;
    882                         mDeceleration = getDeceleration(mVelocity);
    883                         mStartTime += mDuration;
    884                         onEdgeReached();
    885                     } else {
    886                         // Normal stop, no need to continue
    887                         return false;
    888                     }
    889                     break;
    890                 case BALLISTIC:
    891                     mStartTime += mDuration;
    892                     startSpringback(mFinal, mStart, 0);
    893                     break;
    894                 case CUBIC:
    895                     return false;
    896             }
    897 
    898             update();
    899             return true;
    900         }
    901 
    902         /*
    903          * Update the current position and velocity for current time. Returns
    904          * true if update has been done and false if animation duration has been
    905          * reached.
    906          */
    907         boolean update() {
    908             final long time = AnimationUtils.currentAnimationTimeMillis();
    909             final long currentTime = time - mStartTime;
    910 
    911             if (currentTime > mDuration) {
    912                 return false;
    913             }
    914 
    915             double distance = 0.0;
    916             switch (mState) {
    917                 case SPLINE: {
    918                     final float t = (float) currentTime / mSplineDuration;
    919                     final int index = (int) (NB_SAMPLES * t);
    920                     float distanceCoef = 1.f;
    921                     float velocityCoef = 0.f;
    922                     if (index < NB_SAMPLES) {
    923                         final float t_inf = (float) index / NB_SAMPLES;
    924                         final float t_sup = (float) (index + 1) / NB_SAMPLES;
    925                         final float d_inf = SPLINE_POSITION[index];
    926                         final float d_sup = SPLINE_POSITION[index + 1];
    927                         velocityCoef = (d_sup - d_inf) / (t_sup - t_inf);
    928                         distanceCoef = d_inf + (t - t_inf) * velocityCoef;
    929                     }
    930 
    931                     distance = distanceCoef * mSplineDistance;
    932                     mCurrVelocity = velocityCoef * mSplineDistance / mSplineDuration * 1000.0f;
    933                     break;
    934                 }
    935 
    936                 case BALLISTIC: {
    937                     final float t = currentTime / 1000.0f;
    938                     mCurrVelocity = mVelocity + mDeceleration * t;
    939                     distance = mVelocity * t + mDeceleration * t * t / 2.0f;
    940                     break;
    941                 }
    942 
    943                 case CUBIC: {
    944                     final float t = (float) (currentTime) / mDuration;
    945                     final float t2 = t * t;
    946                     final float sign = Math.signum(mVelocity);
    947                     distance = sign * mOver * (3.0f * t2 - 2.0f * t * t2);
    948                     mCurrVelocity = sign * mOver * 6.0f * (- t + t2);
    949                     break;
    950                 }
    951             }
    952 
    953             mCurrentPosition = mStart + (int) Math.round(distance);
    954 
    955             return true;
    956         }
    957     }
    958 }
    959