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Refactor Parabolic timer and add Parabolic smoother #206

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merged 43 commits into from
May 14, 2017

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@dqyi11 dqyi11 commented May 2, 2017

(1) Refactor Parabolic timer into
(1.a) convert an interpolated into a spline
(1.b) convert a spline into a timed spline
(2) Add Parabolic smoother
(2.a) convert a spline to a dynamic path
(2.b) convert a dynamic path to a spine
(2.c) add HauserParabolicSmoother class that handles "doShortcut", "doBlend" and "doShortcutAndBlend"

@dqyi11 dqyi11 requested a review from mkoval May 2, 2017 01:27
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This generally looks good. I have a bunch of relatively minor comments that need to be addressed, but no major changes.

Having two functions for each operation - one for a Spline and one for an Interpolated - adds a lot of boilerplate. Could we eliminate the ones that accept Intnerpolated and rely on the user to call the appropriate conversion function?

/// \return smoothed trajectory that satisfies acceleration constraints
std::unique_ptr<trajectory::Spline> doShortcutAndBlend(
const trajectory::Interpolated& _inputTrajectory,
const aikido::constraint::TestablePtr _feasibilityCheck,
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Nit: Don't mark arguments that are passed by value in a function declaration as const.

/// \param _feasibilityCheck Check whether a position is feasible
/// \param _maxVelocity maximum velocity for each dimension
/// \param _maxAcceleration maximum acceleration for each dimension
/// \param _timelimit The maximum time to allow for doing shortcut
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Nit: Specify the units (seconds, I think).

/// \param _maxAcceleration maximum acceleration for each dimension
/// \param _timelimit The maximum time to allow for doing shortcut
/// \param _useVelocity whether velocity is considered in shortcut
/// \param _blendRadius the radius used in doing blend
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Nit: Specify the units (seconds, I think).

/// \return smoothed trajectory that satisfies acceleration constraints
std::unique_ptr<trajectory::Spline> doBlend(
const trajectory::Interpolated& _inputTrajectory,
const aikido::constraint::TestablePtr _feasibilityCheck,
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Nit: It's meaningless to mark an argument that is passed by value as const in a function declaration.

/// \param _useVelocity whether velocity is considered in shortcut
/// \return smoothed trajectory that satisfies acceleration constraints
std::unique_ptr<trajectory::Spline> doShortcut(
const trajectory::Spline* _inputTrajectory,
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Nit: Take the _inputTrajectory by const & instead of const *.

}
}

TEST_F(ParabolicSmootherTests, doShort)
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Typo: doShortcut.

state.setValue(p4);
nonStraightLine.addWaypoint(0.75, state);
state.setValue(p5);
nonStraightLine.addWaypoint(1., state);
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Nit: Could we implement this test using only three waypoints?

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No.... In Hauser's code, shortcut will be executed only when the waypoint number is larger than 3....

smoothedTrajectory->evaluate(smoothedTrajectory->getEndTime(), state);
EXPECT_TRUE(p5.isApprox(state.getValue()));

EXPECT_TRUE(shortenDist <= orignDist);
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Nit: Make this a strict inequality and increase the time limit until it succeeds with very high probability.


double originTime = nonStraightLine.getDuration();
double shortenTime = smoothedTrajectory->getDuration();
EXPECT_TRUE(shortenTime<=originTime);
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Make this a strict inequality.


double originTime = nonStraightLine.getDuration();
double shortenTime = smoothedTrajectory->getDuration();
EXPECT_TRUE(shortenTime<=originTime);
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See my comment above. Make this a strict inequality.

Also: There's a lot of duplicate code here. Can we move some of it to a helper function?

auto outputPath = make_unique<ParabolicRamp::DynamicPath>();
// Apply the adjoint limits
outputPath->Init(toVector(_maxVelocity), toVector(_maxAcceleration));
outputPath->SetMilestones(milestones);
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We need another version of this helper function - or an overload of this function - that optionally passes velocities to SetMilestones. We need that for all of the functions that accept non-piecewise linear splines.


double startTime = 0.0;
auto dynamicPath = convertToDynamicPath(_inputTrajectory, startTime,
_maxVelocity, _maxAcceleration);
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This call to convertToDynamicPath should preserve velocities.

_blendIterations);
double startTime = 0.0;
auto dynamicPath = convertToDynamicPath(_inputTrajectory, startTime,
_maxVelocity, _maxAcceleration);
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This call to convertToDynamicPath should preserve velocities.


double startTime = 0.0;
auto dynamicPath = convertToDynamicPath(_inputTrajectory, startTime,
_maxVelocity, _maxAcceleration);
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This call to convertToDynamicPath should preserve velocities.

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Coverage increased (+0.6%) to 79.9% when pulling a5bbcf7 on feature/ParabolicSmootherHelper into bb5a1b2 on master.

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dqyi11 commented May 3, 2017

@mkoval All the comments are addressed.
The only concern is whether we should support the derivative at the start time of an interpolated trajectory, which defines the modifications in the interploated class.
I think we need the velocity to convert an interpolated trajectory to a spline trajectory, because a spline trajectory assumes the smoothness.
Please let me know what you think about it. Thanks!

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stateSpace->expMap(eigA, startState);
stateSpace->expMap(eigB, goalState);

aikido::util::VanDerCorput vdc{1, true, true, checkResolution_};
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///
/// while _timelimit is not out:
/// - Randomly sample two times uniformly at random.
/// - Find two waypoints according two times in _inputTrajectory.
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This is technically incorrect. We evaluate the trajectory at whatever times we sample, which are almost surely (in the technical sense of that term) not waypoints.

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@mkoval Should I then say "points" instead of "waypoints"?

/// - Randomly sample two times uniformly at random.
/// - Find two waypoints according two times in _inputTrajectory.
/// - Attempt to connect the two waypoints with a time-optimal parabolic
/// spline.
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Add a note that we then evaluate the feasibility of the spline using _feasibilityCheck.

const Eigen::VectorXd& _maxAcceleration,
double _timelimit = DEFAULT_TIMELIMT,
double _tolerance = DEFAULT_TOLERANCE,
aikido::util::RNG::result_type _rngSeed = std::random_device{}());
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There is no need to take a seed here - we can simply pass in a util::RNG& to use for sampling.

///
/// This function smooths `_inputTrajectory' by firstly applying shortcut
/// to _inputTrajectory and then using blend to remove segments that have
/// zero velocities.
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Note that this function is equivalent to calling doShortcut , followed bydoBlend. Add a note that this function is more efficient than calling those two functions in sequence because it avoids duplicated effort.

double _blendRadius = DEFAULT_BLEND_RADIUS,
int _blendIterations = DEFAULT_BLEND_ITERATIONS,
double _tolerance = DEFAULT_TOLERANCE,
aikido::util::RNG::result_type _rngSeed = std::random_device{}()
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This should be a util::RNG&, not a seed. See my note above.

/// \param[out] position at time \c _t
/// \param[out] velocity at time \c _t
void evaluateAtTime(ParabolicRamp::DynamicPath& _path, double _t,
Eigen::VectorXd& _position, Eigen::VectorXd& _velocity);
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I think it should be safe to take _path by const & here.

convertToDynamicPath(const aikido::trajectory::Spline& _inputTrajectory,
const Eigen::VectorXd& _maxVelocity,
const Eigen::VectorXd& _maxAcceleration,
bool _useVelocity = true);
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I suggest removing the default value for _useVelocity because it dramatically changes the behavior of the function. Or - if it does not require duplicating too much code - split this into two separate functions.

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@dqyi11 I would still like to address this.

mInterpolator->getDerivative(mWaypoints[0].state, mWaypoints[1].state,
_derivative, alpha, _tangentVector);
_tangentVector /= segmentTime;
return;
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I see - that makes sense if we have to handle this case. I am inclined to remove handling of this case for now, since an Interpolated trajectory with a GeodesicInterpolator has undefined derivatives at its waypoints.

{
if (_index < mWaypoints.size())
//return getStartTime() + mWaypoints[_index].t;
return mWaypoints[_index].t;
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I see - that seems to be correct. 👍


//=============================================================================
double Spline::getWaypointTime(size_t _index) const
{
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Check that _index < mSegments.size().

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This is resolved.

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Coverage increased (+0.5%) to 79.805% when pulling 3f97e2c on feature/ParabolicSmootherHelper into bb5a1b2 on master.

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dqyi11 commented May 4, 2017

I have addressed all the comments.

The only thing left is whether we shall keep "useVelocity" in converting an interpolated to a spline.
This can be useful in the ParabolicSmoother.

In that, I convert a spline trajectory to a dynamic path without providing velocity.
Then dynamic path will re-evaluate the velocity.
If velocities are given, dynamic path will not re-evaluate the velocities.
Thus no new timing information will be added.
Does this make sense?

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Coverage increased (+0.5%) to 79.827% when pulling 3f97e2c on feature/ParabolicSmootherHelper into bb5a1b2 on master.

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Coverage increased (+0.5%) to 79.827% when pulling 5a6b908 on feature/ParabolicSmootherHelper into bb5a1b2 on master.

@jslee02 jslee02 added this to the Aikido 0.1.0 milestone May 4, 2017

/// Convert an interpolated trajectory to a spline trajectory
/// This function requires the \c _inputTrajectory to use a \c GeodesicInterpolator.
/// This function requires the \c _inputTrajectory to use a \c
/// GeodesicInterpolator.
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Nit: Could you fix the wrapping? ClangFormat isn't good at it. 😞

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Nit: I thought "So the conversion ..." was the continuing sentence without line breaking.

{
}

virtual bool ConfigFeasible(ParabolicRamp::Vector const& x)
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Nit: Please use const X& pattern rather than X const&.

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Also, please begin with a lower letter for member functions.

, statespace_(testable_->getStateSpace())
, interpolator_(statespace_)
{
}
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Nit: Please add // Do nothing comment to indicate that this function is intentionally empty (but initializing the member variables).

}

virtual bool SegmentFeasible(
ParabolicRamp::Vector const& a, ParabolicRamp::Vector const& b)
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Nit: Ditto

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Please rename to segmentFeasible(...).

double checkResolution_;
aikido::statespace::StateSpacePtr statespace_;
aikido::statespace::GeodesicInterpolator interpolator_;
aikido::constraint::TestablePtr testable_;
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Nit: Could you rename these private member variables using the pattern of mX? I believe we don't use the trailing underscore for member variables (even for private member variables).

// that two waypoints are closer than _blendRadius together - which means
// that waypoint indicies can change between iterations of the algorithm.
size_t const numRamps = dynamicPath.ramps.size();
double const tMax = dynamicPath.GetTotalTime();
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Nit: const double

rampNd.blendAttempts++;
}
}
double const t1 = std::max(t - dtShortcut, -ParabolicRamp::EpsilonT);
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Nit: const double

}
}
double const t1 = std::max(t - dtShortcut, -ParabolicRamp::EpsilonT);
double const t2
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Nit: const double

double const t2
= std::min(t + dtShortcut, tMax + ParabolicRamp::EpsilonT);

bool const success = dynamicPath.TryShortcut(t1, t2, feasibilityChecker);
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Nit: const bool

for (int attempt = 0; attempt < blendIterations; ++attempt)
{
while (tryBlend(dynamicPath, feasibilityChecker, attempt, dtShortcut))
;
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😱 What's happening here?

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Nit: At first, I thought this was a mistake, but now I got it. I would like to suggest make this code easier to read something like:

bool success;
do 
{
  success = tryBlend(...);
} while (success);

Also, I'm not sure which one is logically correct between while(success) and while(!success). 😕

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The current logic is correct. The core issue is that blending can completely remove waypoints from the trajectory, which makes bookkeeping via the time parameter extraordinarily difficult. We dodge that issue by allowing tryBlend to always start at the beginning of the trajectory. We continue to call tryBlend in a loop until it finds nothing left to blend.

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That makes sense. It would be nice to add this as a comment at least to tryBlend().

I still prefer to change the code to be self-documenting. For example:

bool needMoreBlending;
do 
{
  needMoreBlending = tryBlend(...);
} while (needMoreBlending);

///
/// This function smooths `_inputTrajectory' by iteratively sampling
/// two waypoints in a trajectory and trying to find a shortcut using
/// the following algorithm:
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Nit: "waypoints" -> "points".

aikido::constraint::TestablePtr _feasibilityCheck,
const Eigen::VectorXd& _maxVelocity,
const Eigen::VectorXd& _maxAcceleration,
aikido::util::RNG& _rngSeed,
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Nit: This is the RNG, not a seed for the RNG. 😉

mStateSpace->expMap(eigA, startState);
mStateSpace->expMap(eigB, goalState);

aikido::util::VanDerCorput vdc{1, false, false, mCheckResolution};
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Nit: Add a comment explaining why includeStartpoint and includeEndpoint can be false.

aikido::util::RNG& rng)
{
if (timelimit < 0.0)
throw std::runtime_error("Timelimit should be non-negative");
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Nits:

  • Add a bounds check for checkResolution.
  • Use std::invalid_argument instead of std::runtime_error for these exceptions.

SmootherFeasibilityCheckerBase base(testable, checkResolution);
ParabolicRamp::RampFeasibilityChecker feasibilityChecker(&base, tolerance);

std::chrono::time_point<std::chrono::system_clock> startTime, currentTime;
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Nits:

  • currentTime is only used inside the loop, so move its definition to where it is first used.
  • Initialize startTime on the same line where the variable it is defined.

protected:
void SetUp() override
{
mRng = aikido::util::RNGWrapper<std::mt19937>( std::random_device{}() );
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Please use a deterministic seed (e.g. 0) in unit tests so their result is not stochastic.

state.setValue(Vector2d(3., 4.));
mStraightLine->addWaypoint(1., state);

mNonStraightLineLength = initNonStraightLine();
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It's odd to have one output (mNonStraightLine) in a member variable and a second mNonStraightLineLength as a return value. Please stick to one convention or the other for this function.

auto currState = mStateSpace->createState();
auto nextState = mStateSpace->createState();
Eigen::VectorXd currVec, nextVec;
for(size_t i=0; i<spline->getNumWaypoints()-1;++i)
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Nit: This will overflow if getNumWaypoints() == 0, which could cause the test to SEGFAULT instead of fail properly. Please refactor the loop so that is not an issue, e.g. by starting with i = 1 and replacing i with i - 1 in the body.


TEST_F(ParabolicSmootherTests, convertInterpolatedToSpline)
{
auto spline = convertToSpline(*mStraightLine.get());
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Nit: *mStraightLine.get() is equivalent to *mStraightLine.

mStraightLine->evaluateDerivative(t, 1, interpolatedTangent);
EXPECT_EIGEN_EQUAL(splineTangent, interpolatedTangent, mTolerance);
}
}
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Add tests for:

  • More than one segment, e.g. the non-striaghtline trajectory.
  • A trajectory with a non-zero start time.

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codecov-io commented May 11, 2017

Codecov Report

❗ No coverage uploaded for pull request base (master@55ba523). Click here to learn what that means.
The diff coverage is 81%.

@@            Coverage Diff            @@
##             master     #206   +/-   ##
=========================================
  Coverage          ?   70.79%           
=========================================
  Files             ?      168           
  Lines             ?     4897           
  Branches          ?      774           
=========================================
  Hits              ?     3467           
  Misses            ?      954           
  Partials          ?      476
Impacted Files Coverage Δ
include/aikido/trajectory/Interpolated.hpp 100% <ø> (ø)
include/aikido/trajectory/Spline.hpp 100% <ø> (ø)
src/planner/parabolic/ParabolicSmoother.cpp 100% <100%> (ø)
src/trajectory/Interpolated.cpp 73.41% <50%> (ø)
src/trajectory/Spline.cpp 82.4% <68.42%> (ø)
...anner/parabolic/HauserParabolicSmootherHelpers.cpp 74.11% <74.11%> (ø)
src/planner/parabolic/ParabolicUtil.cpp 82.9% <82.9%> (ø)
src/planner/parabolic/ParabolicTimer.cpp 70.58% <89.28%> (ø)

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Looks good to me. Great work @dqyi11!


// tryBlend always starts at the beginning of the trajectory.
// Without this bookkeeping, tryBlend would could any blend that fails
// multiple times.
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Nit: Typo "would could." I think this should say "tryBlend would retry any blend that fails multiple times."

{
noMoreBlending
= tryBlend(dynamicPath, feasibilityChecker, attempt, dtShortcut);
} while (noMoreBlending);
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Nit: The name noMoreBlending implies the opposite of what it actually is. I suggest renaming the flag to needsMoreBlending.

else if (dynamic_cast<const R<6>*>(_stateSpace) != nullptr)
{
return true;
}
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Resolved.

milestones.emplace_back(toVector(currVec));

_inputTrajectory.getWaypointDerivative(iwaypoint, 1, tangentVector);
velocities.emplace_back(toVector(tangentVector));
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Resolved by splitting the Spline and Interpolated cases into separate overloads. 👍

@mkoval mkoval merged commit 00b4faa into master May 14, 2017
@mkoval mkoval deleted the feature/ParabolicSmootherHelper branch May 14, 2017 22:47
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