public void TestParse()
{
string expectedFirst = "7*X^2 + 3*X - 2";
string expectedSecond = "2*X - 2";
string expectedThird = "X^4 + 8*X^3 + 21*X^2 + 22*X + 8";
string expectedFourth = "X^4 + 8*X^3 + 21*X^2 + 22*X + 8";
string expectedFifth = "X^3 + 6*X^2 + 11*X + 6";
IComplexPolynomial firstPoly = ComplexPolynomial.Parse(expectedFirst);
IComplexPolynomial secondPoly = ComplexPolynomial.Parse(expectedSecond);
IComplexPolynomial thirdPoly = ComplexPolynomial.Parse(expectedThird);
IComplexPolynomial firstFourth = ComplexPolynomial.Parse(expectedFourth);
IComplexPolynomial firstFifth = ComplexPolynomial.Parse(expectedFifth);
string actualFirst = firstPoly.ToString();
string actualSecond = secondPoly.ToString();
string actualThird = thirdPoly.ToString();
string actualFouth = firstFourth.ToString();
string actualFifth = firstFifth.ToString();
Assert.AreEqual(expectedFirst, actualFirst, $"Test Parse({expectedFirst})");
Assert.AreEqual(expectedSecond, actualSecond, $"Test Parse({expectedSecond})");
Assert.AreEqual(expectedThird, actualThird, $"Test Parse({expectedThird})");
Assert.AreEqual(expectedFourth, actualFouth, $"Test Parse({expectedFourth})");
Assert.AreEqual(expectedFifth, actualFifth, $"Test Parse({expectedFifth})");
}
public void TestDerivative()
{
string expected = "576*X + 36";
IComplexPolynomial first = ComplexPolynomial.Parse("288*X^2 + 36*X - 2");
IComplexPolynomial result = ComplexPolynomial.GetDerivativePolynomial(first);
string actual = result.ToString();
TestContext.WriteLine("Test Derivative:");
TestContext.WriteLine($"f' where f(x) = ({first})");
TestContext.WriteLine("");
TestContext.WriteLine($"Expected: {expected}");
TestContext.WriteLine($"Actual = {actual}");
Assert.AreEqual(expected, actual, $"Test Derivative");
}
public void TestSquare()
{
string expected = "144*X^2 + 24*X + 1";
IComplexPolynomial first = ComplexPolynomial.Parse("12*X + 1");
IComplexPolynomial result = ComplexPolynomial.Square(first);
string actual = result.ToString();
TestContext.WriteLine("Test Square:");
TestContext.WriteLine($"({first})^2");
TestContext.WriteLine("");
TestContext.WriteLine($"Expected: {expected}");
TestContext.WriteLine($"Actual = {actual}");
Assert.AreEqual(expected, actual, $"Test Square");
}
public void TestAddition()
{
string expected = "24*X - 1";
IComplexPolynomial first = ComplexPolynomial.Parse("12*X + 2");
IComplexPolynomial second = ComplexPolynomial.Parse("12*X - 3");
IComplexPolynomial result = ComplexPolynomial.Add(first, second);
string actual = result.ToString();
TestContext.WriteLine("Test Addition:");
TestContext.WriteLine($"({first}) + ({second})");
TestContext.WriteLine($"Expected: {expected}");
TestContext.WriteLine($"Actual: {actual}");
Assert.AreEqual(expected, actual, $"Test Addition");
}
public void TestDivide()
{
string expected = "24*X - 1";
IComplexPolynomial first = ComplexPolynomial.Parse("288*X^2 + 36*X - 2");
IComplexPolynomial second = ComplexPolynomial.Parse("12*X + 2");
IComplexPolynomial result = ComplexPolynomial.Divide(first, second);
string actual = result.ToString();
TestContext.WriteLine("Test Divide:");
TestContext.WriteLine($"({first}) / ({second})");
TestContext.WriteLine("");
TestContext.WriteLine($"Expected: {expected}");
TestContext.WriteLine($"Actual = {actual}");
Assert.AreEqual(expected, actual, $"Test Divide");
}
public void TestMultiply()
{
string expected = "144*X^2 - 12*X - 6";
IComplexPolynomial first = ComplexPolynomial.Parse("12*X + 2");
IComplexPolynomial second = ComplexPolynomial.Parse("12*X - 3");
IComplexPolynomial result = ComplexPolynomial.Multiply(first, second);
string actual = result.ToString();
TestContext.WriteLine("Test Multiply:");
TestContext.WriteLine($"({first}) * ({second})");
TestContext.WriteLine("");
TestContext.WriteLine($"Expected: {expected}");
TestContext.WriteLine($"Actual = {actual}");
Assert.AreEqual(expected, actual, $"Test Multiply");
}
public void TestSubtraction()
{
string expected = "7*X^2 + X";
IComplexPolynomial first = ComplexPolynomial.Parse("7*X^2 + 3*X - 2");
IComplexPolynomial second = ComplexPolynomial.Parse("2*X - 2");
IComplexPolynomial result = ComplexPolynomial.Subtract(first, second);
string actual = result.ToString();
TestContext.WriteLine("Test Subtraction:");
TestContext.WriteLine($"({first}) - ({second})");
TestContext.WriteLine("");
TestContext.WriteLine($"Expected: {expected}");
TestContext.WriteLine($"Actual = {actual}");
Assert.AreEqual(expected, actual, $"Test Subtraction");
}
public void TestFromRoots()
{
Complex oneTwelvth = new Complex(1d / 12d, 0);
Complex minusOneTwelvth = Complex.Negate(oneTwelvth);
Complex imaginaryOneTwelvth = new Complex(0, 1d / 12d);
Complex imaginaryTwelve = new Complex(0, 12);
IComplexPolynomial poly3 = ComplexPolynomial.FromRoots(oneTwelvth, imaginaryOneTwelvth, 12);
string expected = "X^3 + (-12.08333 - 0.08333𝐢)*X^2 + (1 + 1.00694444444444𝐢)*X + (0 - 0.08333𝐢)";
string actual = poly3.ToString();
TestContext.WriteLine($"Expecting: {expected}");
TestContext.WriteLine($"Actual: {actual}");
TestContext.WriteLine(actual);
Assert.AreEqual(expected, actual);
}
public void TestGCD()
{
string polyString1 = "X^2 + 7*X + 6";
string polyString2 = "X^2 - 5*X - 6";
string expected = "X + 1";
IComplexPolynomial first = ComplexPolynomial.Parse(polyString1);
IComplexPolynomial second = ComplexPolynomial.Parse(polyString2);
IComplexPolynomial result = ComplexPolynomial.GCD(first, second);
string actual = result.ToString();
TestContext.WriteLine("Test GCD:");
TestContext.WriteLine($"GCD({first}, {second})");
TestContext.WriteLine("");
TestContext.WriteLine($"Expected: {expected}");
TestContext.WriteLine($"Actual = {actual}");
Assert.AreEqual(expected, actual, $"Test GCD");
}
public int GetHashCode(IComplexPolynomial obj)
{
return(obj.ToString().GetHashCode());
}