/**
 * Generates an artificial topographyGrid of size numRows x numCols if no
 * topographic data is available.  Results are dumped into topographyGrid.
 * @param topographyGrid A pointer to a zero-initialized Grid of size
 * numRows x numCols.
 * @param numRows The desired number of non-border rows in the resulting matrix.
 * @param numCols The desired number of non-border cols in the resulting matrix.
 */
void simulatetopographyGrid(Grid* topographyGrid, int numRows, int numCols) {
    Eigen::VectorXd refx = refx.LinSpaced(numCols, -2*M_PI, 2*M_PI);
    Eigen::VectorXd refy = refx.LinSpaced(numRows, -2*M_PI, 2*M_PI);
    Eigen::MatrixXd X = refx.replicate(1, numRows);
    X.transposeInPlace();
    Eigen::MatrixXd Y = refy.replicate(1, numCols);

    // Eigen can only deal with two matrices at a time,
    // so split the computation:
    // topographyGrid = sin(X) * sin(Y) * abs(X) * abs(Y) -pi
    Eigen::MatrixXd absXY = X.cwiseAbs().cwiseProduct(Y.cwiseAbs());
    Eigen::MatrixXd sins = X.array().sin().cwiseProduct(Y.array().sin());
    Eigen::MatrixXd temp;
    temp.resize(numRows, numCols);
    temp = absXY.cwiseProduct(sins);

    // All this work to create a matrix of pi...
    Eigen::MatrixXd pi;
    pi.resize(numRows, numCols);
    pi.setConstant(M_PI);
    temp = temp - pi;
    // And the final result.
    topographyGrid->data.block(border, border, numRows, numCols) =
                              temp.block(0, 0, numRows, numCols);
    // Ignore positive values.
    topographyGrid->data =
            topographyGrid->data.unaryExpr(std::ptr_fun(validateDepth));
    topographyGrid->clearNA();
}
Eigen::MatrixXd getMaxDiffForeachEdge(const Eigen::MatrixXd& m)
{
  if(m.cols() == 1){
    return m.cwiseAbs();
  }
  else
    {

      Eigen::MatrixXd maxValueForEachRow = m.rowwise().maxCoeff();
      Eigen::MatrixXd minValueForEachRow = m.rowwise().minCoeff();
      Eigen::MatrixXd maxDiffForEachRow = maxValueForEachRow - minValueForEachRow;
      Eigen::MatrixXd maxAbsDiffForEachRow = maxDiffForEachRow.cwiseAbs();
      return maxAbsDiffForEachRow;
  }

}