#include <Eigen/Core>
#include <Eigen/Dense>
#include <fstream>
#include <ios>
#include <iostream>
#include <sstream>
#include <stdexcept>

using namespace std;
using namespace Eigen;

inline MatrixXd CSV2Eigen(string file2Convert) {

  vector<double> matrixEntries;

  ifstream matrixDataFile(file2Convert);
  if (matrixDataFile.fail()) {
    throw invalid_argument("File probably non-existent!");
  }

  string matrixRowString;
  string matrixEntry;
  int matrixRowNumber = 0;

  while (getline(matrixDataFile, matrixRowString)) {
    stringstream matrixRowStringStream(matrixRowString);
    while (getline(matrixRowStringStream, matrixEntry, ' ')) {
      matrixEntries.push_back(stod(matrixEntry));
    }
    if (matrixRowString.length() > 1) {
      matrixRowNumber++;
    }
  }

  return Map<Matrix<double, Dynamic, Dynamic, RowMajor>>(
      matrixEntries.data(), matrixRowNumber,
      matrixEntries.size() / matrixRowNumber);
}

inline bool checkSimilarity(MatrixXd a, MatrixXd b, double precision = 1e-5) {
  return a.isApprox(b, precision);
}

inline bool checkSimilarityV2(MatrixXd a, MatrixXd b, double maxDiff) {

  MatrixXd diff = a - b;
  double maxCoeff = diff.maxCoeff();
  return abs(maxCoeff) < maxDiff;
}