public void TestSolveNEquationsNUnknowns(int testCaseId)
{
double epsilon = 0.0001;
var matrixUtilities = new MatrixUtilities();
var testCase = this.TestCaseIdToMatrixDictionary[testCaseId];
var solution = matrixUtilities.SolveNEquationsNUnknowns(testCase.Equations, testCase.Constants);
var resultFromMultiplication = matrixUtilities.MultiplyMatrixByVector(testCase.Equations, solution);
Assert.AreEqual(testCase.Solution.Length, solution.Length);
Assert.AreEqual(testCase.Constants.Length, resultFromMultiplication.Length);
for (int i = 0; i < solution.Length; i++)
{
Assert.LessOrEqual(Math.Abs(solution[i] - testCase.Solution[i]), epsilon);
Assert.LessOrEqual(Math.Abs(resultFromMultiplication[i] - testCase.Constants[i]), epsilon);
}
var linearEquationRepresentation = this.ConvertMatrixIntoLinearEquations(testCase.Equations, testCase.Constants);
var solutionOfLinearEquations = matrixUtilities.SolveLinearSystemOfEquations(linearEquationRepresentation);
Assert.AreEqual(testCase.Solution.Length, solutionOfLinearEquations.Length);
for (int i = 0; i < solution.Length; i++)
{
Assert.LessOrEqual(Math.Abs(solution[i] - testCase.Solution[i]), epsilon);
}
}