public void TestFunctionalComposition001()
{
MultivariatePolynomial indeterminateX = MultivariatePolynomial.Parse("6*X + 1");
MultivariatePolynomial zero = MultivariatePolynomial.Parse("0");
MultivariatePolynomial minusOne = MultivariatePolynomial.Parse("-1");
MultivariatePolynomial one = MultivariatePolynomial.Parse("1");
MultivariatePolynomial X = MultivariatePolynomial.Parse("X");
MultivariatePolynomial even = MultivariatePolynomial.Parse("2*Y");
MultivariatePolynomial odd = MultivariatePolynomial.Parse("2*X + 1");
string expecting1 = "1";
string expecting2 = "6*X + 1";
string expecting3 = "12*Y + 1";
//string expecting4 = "";
//string expecting5 = "";
string actual1 = MultivariatePolynomial.Pow(indeterminateX, 0).ToString();
string actual2 = MultivariatePolynomial.Pow(indeterminateX, 1).ToString();
string actual3 = indeterminateX.FunctionalComposition(new List <Tuple <char, MultivariatePolynomial> >()
{
new Tuple <char, MultivariatePolynomial>('X', even)
}).ToString();
//string actual4 = composition4.ToString();
//string actual5 = composition5.ToString();
Assert.AreEqual(expecting1, actual1);
Assert.AreEqual(expecting2, actual2);
Assert.AreEqual(expecting3, actual3);
//Assert.AreEqual(expecting4, actual4);
//Assert.AreEqual(expecting5, actual5);
}
public void TestFunctionalComposition002()
{
MultivariatePolynomial indeterminateX = MultivariatePolynomial.Parse("6*X + 1");
MultivariatePolynomial indeterminateY = MultivariatePolynomial.Parse("6*Y - 1");
MultivariatePolynomial polyn = MultivariatePolynomial.Multiply(indeterminateX, indeterminateY);
MultivariatePolynomial zero = MultivariatePolynomial.Parse("0");
MultivariatePolynomial minusOne = MultivariatePolynomial.Parse("-1");
MultivariatePolynomial six = MultivariatePolynomial.Parse("6");
MultivariatePolynomial even = MultivariatePolynomial.Parse("2*Y");
MultivariatePolynomial odd = MultivariatePolynomial.Parse("2*X + 1");
MultivariatePolynomial inversePolyn = MultivariatePolynomial.Multiply(polyn, minusOne); // -36*X*Y + 6*X - 6*Y + 1
List <Tuple <char, MultivariatePolynomial> > indeterminantsOddEven = new List <Tuple <char, MultivariatePolynomial> >()
{
new Tuple <char, MultivariatePolynomial>('X', odd),
new Tuple <char, MultivariatePolynomial>('Y', even),
};
List <Tuple <char, MultivariatePolynomial> > indeterminantsConstants = new List <Tuple <char, MultivariatePolynomial> >()
{
new Tuple <char, MultivariatePolynomial>('X', zero),
new Tuple <char, MultivariatePolynomial>('Y', minusOne),
};
List <Tuple <char, MultivariatePolynomial> > indeterminantsInverse = new List <Tuple <char, MultivariatePolynomial> >()
{
new Tuple <char, MultivariatePolynomial>('X', inversePolyn),
new Tuple <char, MultivariatePolynomial>('Y', inversePolyn),
};
List <Tuple <char, MultivariatePolynomial> > indeterminantSix = new List <Tuple <char, MultivariatePolynomial> >()
{
new Tuple <char, MultivariatePolynomial>('X', six)
};
MultivariatePolynomial composition1 = polyn.FunctionalComposition(indeterminantsOddEven); // 36*X*Y + 6*Y - 6*X - 1
MultivariatePolynomial composition2 = polyn.FunctionalComposition(indeterminantsInverse);
MultivariatePolynomial composition3 = polyn.FunctionalComposition(indeterminantsConstants);
MultivariatePolynomial composition4 = minusOne.FunctionalComposition(indeterminantSix);
MultivariatePolynomial composition5 = indeterminateX.FunctionalComposition(indeterminantsConstants);
string expecting1 = "144*X*Y - 12*X + 84*Y - 7";
string expecting2 = "46656*X^2*Y^2 + 1296*X^2 - 15552*X^2*Y + 15552*X*Y^2 + 432*X - 5184*X*Y + 1296*Y^2 - 432*Y + 35";
string expecting3 = "-7";
string expecting4 = "-1";
string expecting5 = "1";
string actual1 = composition1.ToString();
string actual2 = composition2.ToString();
string actual3 = composition3.ToString();
string actual4 = composition4.ToString();
string actual5 = composition5.ToString();
//Assert.AreEqual(expecting1, actual1);
//Assert.AreEqual(expecting2, actual2);
Assert.AreEqual(expecting3, actual3);
Assert.AreEqual(expecting4, actual4);
Assert.AreEqual(expecting5, actual5);
}