public void ThisSetterAndGetter()
{
SystemOfLinearEquation sle = new SystemOfLinearEquation(2);
sle[1] = new LinearEquation(new double[] { 4, 5, 2 });
Assert.AreEqual("2x2+5x1+4=0", sle[1].ToString());
}
public void IntConstructor()
{
int m = 3;
SystemOfLinearEquation sle = new SystemOfLinearEquation(m);
Assert.AreEqual("0=0\n0=0\n0=0\n", sle.ToString());
}
public void SetAndGet()
{
SystemOfLinearEquation sole = new SystemOfLinearEquation(2);
sole[0] = new LinearEquation(new double[] { 1, 2, 3 });
Assert.AreEqual("3x2+2x1+1=0", sole[0].ToString());
}
public void ThisSetterWithWrongArgument()
{
SystemOfLinearEquation sle = new SystemOfLinearEquation(2);
Assert.Equals(typeof(IndexOutOfRangeException), sle[3] = new LinearEquation(new double[4] {
1, 2, 3, 4
})); //может тут бы подошел и OutOfRangeException?
}
public void SetWithIncorrectArgument()
{
SystemOfLinearEquation sole = new SystemOfLinearEquation(2);
Assert.Equals(typeof(ArgumentException), sole[3] = new LinearEquation(new double[4] {
1, 2, 3, 6
}));
}
public void Index()//индексация ур-й
{
SystemOfLinearEquation s = new SystemOfLinearEquation(3);
s.Add(new LinearEquation("1,2,3,4"));
s.Add(new LinearEquation("5,6,7,8"));
s.Add(new LinearEquation("10,11,12,13"));
Assert.AreEqual(new LinearEquation("10,11,12,13"), s[2]);
}
public void Solve()
{
SystemOfLinearEquation sle = new SystemOfLinearEquation(3);
sle[0] = new LinearEquation(new double[] { -8, -1, 1, 2 });
sle[1] = new LinearEquation(new double[] { 11, 2, -1, -3 });
sle[2] = new LinearEquation(new double[] { 3, 2, 1, -2 });
Assert.IsTrue(new double[] { -1, 3, 2 }.SequenceEqual(sle.Solve()));
}
public void FailWithWrongArguments7()
{
LinearEquation l1 = new LinearEquation("2 4 1 36", 4);
LinearEquation l2 = new LinearEquation("5 2 1 47", 4);
LinearEquation l3 = new LinearEquation(4);
SystemOfLinearEquation slu = new SystemOfLinearEquation(3);
Assert.ThrowsException <IndexOutOfRangeException>(() => slu[3] = l1);
}
public void CorrectIndexing()
{
int n = 3;
SystemOfLinearEquation s = new SystemOfLinearEquation(n);
s.Add(new LinearEquation("1, -2, 4, 3"));
s.Add(new LinearEquation("-2, 5, 7, 3"));
s.Add(new LinearEquation("-3, 3, -7, 6"));
Assert.AreEqual(new LinearEquation("-3, 3, -7, 6"), s[2]);
}
public void FailIndex2()//Индексация
{
int n = 3;
SystemOfLinearEquation s = new SystemOfLinearEquation(n);
s.Add(new LinearEquation("1,-2,4,3"));
s.Add(new LinearEquation("-4,5,7,3"));
s.Add(new LinearEquation("-3,3,-7,6"));
Assert.Equals(typeof(IndexOutOfRangeException), s[5]);
}
public void FailWithIndexing2()
{
int n = 3;
SystemOfLinearEquation s = new SystemOfLinearEquation(n);
s.Add(new LinearEquation("1,-2,1,0"));
s.Add(new LinearEquation("2,2,-1,3"));
s.Add(new LinearEquation("4,-1,1,5"));
Assert.Equals(typeof(IndexOutOfRangeException), s[-5]);
}
public void CorrectIndexLine()
{
int n = 3;
SystemOfLinearEquation s = new SystemOfLinearEquation(n);
s.Add(new LinearEquation("1,-2,1,0"));
s.Add(new LinearEquation("2,2,-1,3"));
s.Add(new LinearEquation("4,-1,1,5"));
Assert.AreEqual(new LinearEquation("1,-2,1,0"), s[0]);
}
public void Triangular()
{
SystemOfLinearEquation sole = new SystemOfLinearEquation(3);
sole[0] = new LinearEquation(new double[] { -8, -1, 1, 2 });
sole[1] = new LinearEquation(new double[] { 11, 2, -1, -3 });
sole[2] = new LinearEquation(new double[] { 3, 2, 1, -2 });
sole.ToTriangular();
Assert.AreEqual("2x3+1x2-1x1-8=0\n0,5x2+0,5x1-1=0\n-1x1-1=0\n", sole.ToString());
}
public void CorrectIndexing()
{
int n = 3;
SystemOfLinearEquation s = new SystemOfLinearEquation(n);
s.Add(new LinearEquation("1,2,3,15"));
s.Add(new LinearEquation("2,4,3,20"));
s.Add(new LinearEquation("5,6,7,33"));
Assert.AreEqual(new LinearEquation("2,4,3,20"), s[1]);
}
public void SolveWithContradictoryEquations()
{
SystemOfLinearEquation sle = new SystemOfLinearEquation(4);
sle[0] = new LinearEquation(new double[] { -8, -1, 1, 2 });
sle[1] = new LinearEquation(new double[] { 11, 2, -1, -3 });
sle[2] = new LinearEquation(new double[] { 3, 2, 1, -2 });
sle[3] = new LinearEquation(new double[] { 4, 2, 2, -2 });
Assert.Equals(typeof(ArithmeticException), sle.Solve());
}
public void FailWithIndexing2()
{
int n = 3;
SystemOfLinearEquation s = new SystemOfLinearEquation(n);
s.Add(new LinearEquation("1,2,3,15"));
s.Add(new LinearEquation("2,4,3,20"));
s.Add(new LinearEquation("5,6,7,33"));
Assert.Equals(typeof(IndexOutOfRangeException), s[12]);
}
public void FailWithIndexing2()
{
int n = 3;
SystemOfLinearEquation s = new SystemOfLinearEquation(n);
s.Add(new LinearEquation("2,-4,9,28"));
s.Add(new LinearEquation("7,3,-6,-1"));
s.Add(new LinearEquation("7,9,-9,5"));
Assert.Equals(typeof(IndexOutOfRangeException), s[12]);
}
public void TestSystem2()
{
LinearEquation l1 = new LinearEquation(4);
LinearEquation l2 = new LinearEquation(4);
SystemOfLinearEquation slu = new SystemOfLinearEquation(3);
slu[0] = l1;
slu[1] = l2;
Assert.AreEqual(slu[0].indexes[1], slu[1].indexes[3]);
}
public void CorrectIndexing()
{
int n = 3;
SystemOfLinearEquation s = new SystemOfLinearEquation(n);
s.Add(new LinearEquation("2,-4,9,28"));
s.Add(new LinearEquation("7,3,-6,-1"));
s.Add(new LinearEquation("7,9,-9,5"));
Assert.AreEqual(new LinearEquation("7,3,-6,-1"), s[1]);
}
public void CheckNoSolutions()
{
int n = 3;
SystemOfLinearEquation s = new SystemOfLinearEquation(n);
s.Add(new LinearEquation("3, 6, 4, 5"));
s.Add(new LinearEquation("5, 10, 8, 7"));
s.Add(new LinearEquation("-5, -10, -8, -7"));
s.StepUp();
Assert.Equals(typeof(ArgumentException), s.Solve());
}
public void InfSolutions()
{
int n = 3;
SystemOfLinearEquation s = new SystemOfLinearEquation(n);
s.Add(new LinearEquation("2.0,6.0,-5.0,10.0"));
s.Add(new LinearEquation("4.0,12.0,-10.0,20.0"));
s.Add(new LinearEquation("4.0,12.0,-10.0,20.0"));
s.Shiftg();
Assert.Equals(typeof(ArgumentException), s.System());
}
public void NoSolutions()
{
int n = 3;
SystemOfLinearEquation s = new SystemOfLinearEquation(n);
s.Add(new LinearEquation("14,16, 40, 20"));
s.Add(new LinearEquation("7, 8, 20, 10"));
s.Add(new LinearEquation("0, 0, 0, 0"));
s.StepView();
Assert.Equals(typeof(ArgumentException), s.Solve());
}
public void ManySolutions()
{
int n = 3;
SystemOfLinearEquation s = new SystemOfLinearEquation(n);
s.Add(new LinearEquation("3,7,1,0"));
s.Add(new LinearEquation("1,2,3,4"));
s.StepView();
Assert.Equals(typeof(ArgumentException), s.Solve());
}
public void CheckNoSolutions()
{
int n = 3;
SystemOfLinearEquation s = new SystemOfLinearEquation(n);
s.Add(new LinearEquation("3.0, 2.0,-4.0, 3.0"));
s.Add(new LinearEquation("6.0, 4.0, -8.0, 15.0"));
s.Add(new LinearEquation("6.0, 4.0, -8.0, 15.0"));
s.SteppingUp();
Assert.Equals(typeof(ArgumentException), s.SolveSystem());
}
public void InfinitelyManySolutions()
{
int n = 3;
SystemOfLinearEquation s = new SystemOfLinearEquation(n);
s.Add(new LinearEquation("2.0, 6.0,-5.0, 10.0"));
s.Add(new LinearEquation("4.0, 12.0, -10.0, 20.0"));
s.Add(new LinearEquation("4.0, 12.0, -10.0, 20.0"));
s.SteppingUp();
Assert.Equals(typeof(ArgumentException), s.SolveSystem());
}
public void InfinitelyManySolutions()
{
int n = 3;
SystemOfLinearEquation s = new SystemOfLinearEquation(n);
s.Add(new LinearEquation("1, 4,-7, 10"));
s.Add(new LinearEquation("-1, 4, 3, -14"));
s.Add(new LinearEquation("-1, 4, 3, -14"));
s.StepUp();
Assert.Equals(typeof(ArgumentException), s.Solve());
}
public void FailWithWrongArguments6()
{
LinearEquation l1 = new LinearEquation("2 4 1 36", 4);
LinearEquation l2 = new LinearEquation("5 2 1 47", 4);
LinearEquation l3 = new LinearEquation("0 0 0 1", 4);
SystemOfLinearEquation slu = new SystemOfLinearEquation(3);
slu[0] = l1;
slu[1] = l2;
slu[2] = l3;
Assert.ThrowsException <ArgumentException>(() => slu.gauss());
}
public void TestSystem1()
{
LinearEquation l1 = new LinearEquation("2 4 1 36", 4);
LinearEquation l2 = new LinearEquation("5 2 1 47", 4);
LinearEquation l3 = new LinearEquation("2 3 4 37", 4);
SystemOfLinearEquation slu = new SystemOfLinearEquation(3);
slu[0] = l1;
slu[1] = l2;
slu[2] = l3;
double[] x = slu.gauss();
Assert.AreEqual(x[0], 7.0);
}
public void CorrectAnswer()
{
int n = 3;
SystemOfLinearEquation s = new SystemOfLinearEquation(n);
s.Add(new LinearEquation("1, -2, 4, 3"));
s.Add(new LinearEquation("-4, 5, 7, 3"));
s.Add(new LinearEquation("-3, 3, -7, 6"));
s.StepUp();
double[] solve1 = new double[] { -7, -5, 0 };
double[] solve2 = s.Solve();
bool check = true;
for (int i = 0; i < n; i++)
{
if (Math.Abs(solve1[i] - solve2[i]) > 1e-9)
{
check = false;
}
}
Assert.AreEqual(true, check);
}
public void CorrectAnswer()
{
int n = 3;
SystemOfLinearEquation s = new SystemOfLinearEquation(n);
s.Add(new LinearEquation("3.0, 2.0,-4.0, 3.0"));
s.Add(new LinearEquation("2.0, 3.0, 3.0, 15.0"));
s.Add(new LinearEquation("5.0, -3, 1.0, 14.0"));
s.SteppingUp();
double[] solve1 = new double[] { 3, 1, 2 };
double[] solve2 = s.SolveSystem();
bool check = true;
for (int i = 0; i < n; i++)
{
if (Math.Abs(solve1[i] - solve2[i]) > 1e-9)
{
check = false;
}
}
Assert.AreEqual(true, check);
}
