void TransformationCheckersImpl<T>::BoundTransformationChecker::check(const TransformationParameters& parameters, bool& iterate)
{
	typedef typename PointMatcher<T>::ConvergenceError ConvergenceError;
	
	if (parameters.rows() == 4)
	{
		const Quaternion currentRotation = Quaternion(Eigen::Matrix<T,3,3>(parameters.topLeftCorner(3,3)));
		this->conditionVariables(0) = currentRotation.angularDistance(initialRotation3D);
	}
	else if (parameters.rows() == 3)
	{
		const T currentRotation(acos(parameters(0,0)));
		this->conditionVariables(0) = normalizeAngle(currentRotation - initialRotation2D);
	}
	else
		assert(false);
	const unsigned int nbRows = parameters.rows()-1;
	const Vector currentTranslation = parameters.topRightCorner(nbRows,1);
	this->conditionVariables(1) = (currentTranslation - initialTranslation).norm();
	if (this->conditionVariables(0) > this->limits(0) || this->conditionVariables(1) > this->limits(1))
	{
		ostringstream oss;
		oss << "limit out of bounds: ";
		oss << "rot: " << this->conditionVariables(0) << "/" << this->limits(0) << " ";
		oss << "tr: " << this->conditionVariables(1) << "/" << this->limits(1);
		throw ConvergenceError(oss.str());
	}
}
void TransformationCheckersImpl<T>::BoundTransformationChecker::init(const TransformationParameters& parameters, bool& iterate)
{
	this->conditionVariables.setZero(2);
	if (parameters.rows() == 4)
		initialRotation3D = Quaternion(Eigen::Matrix<T,3,3>(parameters.topLeftCorner(3,3)));
	else if (parameters.rows() == 3)
		initialRotation2D = acos(parameters(0,0));
	else
		throw runtime_error("BoundTransformationChecker only works in 2D or 3D");
		
	const unsigned int nbRows = parameters.rows()-1;
	initialTranslation = parameters.topRightCorner(nbRows,1);
}
typename PointMatcher<T>::DataPoints TransformationsImpl<T>::PureTranslation::compute(const DataPoints& input,
		const TransformationParameters& parameters) const {
	assert(input.features.rows() == parameters.rows());
	assert(parameters.rows() == parameters.cols());

	if(this->checkParameters(parameters) == false)
		throw PointMatcherSupport::TransformationError("PureTranslation: Error, left part  not identity.");

	DataPoints transformedCloud(input.featureLabels, input.descriptorLabels, input.features.cols());

	// Apply the transformation to features
	transformedCloud.features = parameters * input.features;

	return transformedCloud;
}
void TransformationCheckersImpl<T>::DifferentialTransformationChecker::check(const TransformationParameters& parameters, bool& iterate)
{
	typedef typename PointMatcher<T>::ConvergenceError ConvergenceError;
	
	rotations.push_back(Quaternion(Eigen::Matrix<T,3,3>(parameters.topLeftCorner(3,3))));
	const unsigned int nbRows = parameters.rows()-1;
	translations.push_back(parameters.topRightCorner(nbRows,1));
	
	this->conditionVariables.setZero(2);
	if(rotations.size() > smoothLength)
	{
		for(size_t i = rotations.size()-1; i >= rotations.size()-smoothLength; i--)
		{
			//Compute the mean derivative
			this->conditionVariables(0) += anyabs(rotations[i].angularDistance(rotations[i-1]));
			this->conditionVariables(1) += anyabs((translations[i] - translations[i-1]).norm());
		}

		this->conditionVariables /= smoothLength;

		if(this->conditionVariables(0) < this->limits(0) && this->conditionVariables(1) < this->limits(1))
			iterate = false;
	}
	
	//std::cout << "Abs Rotation: " << this->conditionVariables(0) << " / " << this->limits(0) << std::endl;
	//std::cout << "Abs Translation: " << this->conditionVariables(1) << " / " << this->limits(1) << std::endl;
	
	if (boost::math::isnan(this->conditionVariables(0)))
		throw ConvergenceError("abs rotation norm not a number");
	if (boost::math::isnan(this->conditionVariables(1)))
		throw ConvergenceError("abs translation norm not a number");
}
bool TransformationsImpl<T>::RigidTransformation::checkParameters(const TransformationParameters& parameters) const
{
	//FIXME: FP - should we put that as function argument?
	const T epsilon = 0.001;

	const TransformationParameters R(parameters.topLeftCorner(parameters.rows()-1, parameters.cols()-1));
	
	if(anyabs(1 - R.determinant()) > epsilon)
		return false;
	else
		return true;
}
typename PointMatcher<T>::DataPoints TransformationsImpl<T>::RigidTransformation::compute(
	const DataPoints& input,
	const TransformationParameters& parameters) const
{
	typedef typename PointMatcher<T>::Matrix Matrix;
	
	assert(input.features.rows() == parameters.rows());
	assert(parameters.rows() == parameters.cols());

	const unsigned int nbRows = parameters.rows()-1;
	const unsigned int nbCols = parameters.cols()-1;

	const TransformationParameters R(parameters.topLeftCorner(nbRows, nbCols));

	if(this->checkParameters(parameters) == false)	
		throw TransformationError("RigidTransformation: Error, rotation matrix is not orthogonal.");	
	
	DataPoints transformedCloud(input.featureLabels, input.descriptorLabels, input.timeLabels, input.features.cols());
	
	// Apply the transformation to features
	transformedCloud.features = parameters * input.features;
	
	// Apply the transformation to descriptors
	int row(0);
	const int descCols(input.descriptors.cols());
	for (size_t i = 0; i < input.descriptorLabels.size(); ++i)
	{
		const int span(input.descriptorLabels[i].span);
		const std::string& name(input.descriptorLabels[i].text);
		const BOOST_AUTO(inputDesc, input.descriptors.block(row, 0, span, descCols));
		BOOST_AUTO(outputDesc, transformedCloud.descriptors.block(row, 0, span, descCols));
		if (name == "normals" || name == "observationDirections")
			outputDesc = R * inputDesc;
		else
			outputDesc = inputDesc;
		row += span;
	}
	
	return transformedCloud;
}
void TransformationCheckersImpl<T>::DifferentialTransformationChecker::init(const TransformationParameters& parameters, bool& iterate)
{
	this->conditionVariables.setZero(2);
	
	rotations.clear();
	translations.clear();
	
	if (parameters.rows() == 4)
	{
		rotations.push_back(Quaternion(Eigen::Matrix<T,3,3>(parameters.topLeftCorner(3,3))));
	}
	else
	{
		// Handle the 2D case
		Eigen::Matrix<T,3,3> m(Matrix::Identity(3,3));
		m.topLeftCorner(2,2) = parameters.topLeftCorner(2,2);
		rotations.push_back(Quaternion(m));
	}
	
	const unsigned int nbRows = parameters.rows()-1;
	translations.push_back(parameters.topRightCorner(nbRows,1));
}
bool TransformationsImpl<T>::PureTranslation::checkParameters(
		const TransformationParameters& parameters) const {
	const int rows = parameters.rows();
	const int cols = parameters.cols();

	// make a copy of parameters to perform the check
	TransformationParameters parameters_(parameters);

	// set the translation components of the transformation matrix to 0
	parameters_.block(0,cols-1,rows-1,1).setZero();

	// If we have the identity matrix, than this is indeed a pure translation
	if (parameters_.isApprox(TransformationParameters::Identity(rows,cols)))
		return true;
	else
		return false;
}
typename PointMatcher<T>::TransformationParameters TransformationsImpl<T>::PureTranslation::correctParameters(
		const TransformationParameters& parameters) const {
	const int rows = parameters.rows();
	const int cols = parameters.cols();

	// make a copy of the parameters to perform corrections on
	TransformationParameters correctedParameters(parameters);

	// set the top left block to the identity matrix
	correctedParameters.block(0,0,rows-1,cols-1).setIdentity();

	// fix the bottom row
	correctedParameters.block(rows-1,0,1,cols-1).setZero();
	correctedParameters(rows-1,cols-1) = 1;

	return correctedParameters;
}
typename PointMatcher<T>::TransformationParameters TransformationsImpl<T>::TransformationWithScale::correctParameters(
		const TransformationParameters& parameters) const {
	std::cout << "Correcting Paramsa. .. .. . . " << std::endl;

	const int rows = parameters.rows();
	const int cols = parameters.cols();

	TransformationParameters correctedParameters(parameters);
	return correctedParameters;

	// make a copy of the parameters to perform corrections on
	// // set the top left block to the identity matrix
	// correctedParameters.block(0,0,rows-1,cols-1).setIdentity();

	// // fix the bottom row
	// correctedParameters.block(rows-1,0,1,cols-1).setZero();
	// correctedParameters(rows-1,cols-1) = 1;

	// return correctedParameters;
}