public void GetPolynomialDerivativeTest_IntegerPolynomialAsCoefficients()
{
var polynomialText = "(y^2+y+1)*x^3-2*x^2*y+x*(y^5-3)+4";
var polynomialDerivativeText = "3*(y^2+y+1)*x^2-4*y*x+y^5-3";
var variableName = "x";
var coeffsVariableName = "y";
// Os domínios responsáveis pelas operações sobre os inteiros.
var integerDomain = new IntegerDomain();
var longDomain = new LongDomain();
var bigIntegerDomain = new BigIntegerDomain();
// Os leitore sde inteiros
var integerParser = new IntegerParser <string>();
var longParser = new LongParser <string>();
var bigIntegerParser = new BigIntegerParser <string>();
// Definição das conversões.
var integerConversion = new ElementToElementConversion <int>();
var longConversion = new LongToIntegerConversion();
var bigIntegerConversion = new BigIntegerToIntegerConversion();
var integerPolConvertion = new UnivarPolynomNormalFormToIntegerConversion <int>(
coeffsVariableName,
integerConversion,
integerDomain);
var longPolConvertion = new UnivarPolynomNormalFormToIntegerConversion <long>(
coeffsVariableName,
longConversion,
longDomain);
var bigIntegerPolConvertion = new UnivarPolynomNormalFormToIntegerConversion <BigInteger>(
coeffsVariableName,
bigIntegerConversion,
bigIntegerDomain);
// Definição dos anéis polinomiais.
var integerPolynomialRing = new UnivarPolynomRing <int>(coeffsVariableName, integerDomain);
var longPolynomialRing = new UnivarPolynomRing <long>(coeffsVariableName, longDomain);
var bigIntegerPolynomialRing = new UnivarPolynomRing <BigInteger>(coeffsVariableName, bigIntegerDomain);
// Definição dos leitores polinomiais.
var integerPolynomialParser = new UnivarPolNormalFormParser <int>(
coeffsVariableName,
integerConversion,
integerParser,
integerDomain);
var longPolynomialParser = new UnivarPolNormalFormParser <long>(
coeffsVariableName,
longConversion,
longParser,
longDomain);
var bigIntegerPolynomialParser = new UnivarPolNormalFormParser <BigInteger>(
coeffsVariableName,
bigIntegerConversion,
bigIntegerParser,
bigIntegerDomain);
// Definição dos testes.
var integerPolynomial = TestsHelper.ReadUnivarPolynomial <UnivariatePolynomialNormalForm <int> >(
polynomialText,
integerPolynomialRing,
integerPolynomialParser,
integerPolConvertion,
variableName);
var integerExpectedPol = TestsHelper.ReadUnivarPolynomial <UnivariatePolynomialNormalForm <int> >(
polynomialDerivativeText,
integerPolynomialRing,
integerPolynomialParser,
integerPolConvertion,
variableName);
var integerActualPlynomial = integerPolynomial.GetPolynomialDerivative(integerPolynomialRing);
Assert.AreEqual(integerExpectedPol, integerActualPlynomial);
var longPolynomial = TestsHelper.ReadUnivarPolynomial <UnivariatePolynomialNormalForm <long> >(
polynomialText,
longPolynomialRing,
longPolynomialParser,
longPolConvertion,
variableName);
var longExpectedPol = TestsHelper.ReadUnivarPolynomial <UnivariatePolynomialNormalForm <long> >(
polynomialDerivativeText,
longPolynomialRing,
longPolynomialParser,
longPolConvertion,
variableName);
var longActualPlynomial = longPolynomial.GetPolynomialDerivative(longPolynomialRing);
Assert.AreEqual(longExpectedPol, longActualPlynomial);
var bigIntegerPolynomial = TestsHelper.ReadUnivarPolynomial <UnivariatePolynomialNormalForm <BigInteger> >(
polynomialText,
bigIntegerPolynomialRing,
bigIntegerPolynomialParser,
bigIntegerPolConvertion,
variableName);
var bigIntegerExpectedPol = TestsHelper.ReadUnivarPolynomial <UnivariatePolynomialNormalForm <BigInteger> >(
polynomialDerivativeText,
bigIntegerPolynomialRing,
bigIntegerPolynomialParser,
bigIntegerPolConvertion,
variableName);
var bigIntegerActualPlynomial = bigIntegerPolynomial.GetPolynomialDerivative(bigIntegerPolynomialRing);
Assert.AreEqual(bigIntegerExpectedPol, bigIntegerExpectedPol);
}
public void PowerTest_IntegerPolynomial()
{
var integerDomain = new IntegerDomain();
var longDomain = new LongDomain();
var bigIntegerDomain = new BigIntegerDomain();
var variableName = "x";
var intPolDomain = new UnivarPolynomRing <int>(variableName, integerDomain);
var longPolDomain = new UnivarPolynomRing <long>(variableName, longDomain);
var bigIntegerPolDomain = new UnivarPolynomRing <BigInteger>(variableName, bigIntegerDomain);
// Leitores
var integerParser = new IntegerParser <string>();
var longParser = new LongParser <string>();
var bigIntegerParser = new BigIntegerParser <string>();
var integerConversion = new ElementToElementConversion <int>();
var longToIntegerConversion = new LongToIntegerConversion();
var bigIntegerToIntegerConversion = new BigIntegerToIntegerConversion();
var intPowers = new int[3] {
2, 3, 4
};
var longPowers = new long[3] {
2, 3, 4
};
var bigIntPowers = new BigInteger[3] {
2, 3, 4
};
var polynomialsTexts = new string[3] {
"x^3-2*x^2+3*x-1", "2*x^2+4*x+4", "x+1"
};
var expectedPolinomialsTexts = new string[3] {
"x^6-4*x^5+10*x^4-14*x^3+13*x^2-6*x+1",
"8*x^6+48*x^5+144*x^4+256*x^3+288*x^2+192*x+64",
"x^4+4*x^3+6*x^2+4*x+1"
};
// Coeficientes inteiros.
for (int i = 0; i < 3; ++i)
{
var polynomialValue = TestsHelper.ReadUnivarPolynomial(
polynomialsTexts[i],
integerDomain,
integerParser,
integerConversion,
variableName);
var expectedPolynomial = TestsHelper.ReadUnivarPolynomial(
expectedPolinomialsTexts[i],
integerDomain,
integerParser,
integerConversion,
variableName);
var actualPolynomial = MathFunctions.Power(polynomialValue, intPowers[i], intPolDomain);
Assert.AreEqual(expectedPolynomial, actualPolynomial);
}
// Coeficientes longos.
for (int i = 0; i < 3; ++i)
{
var polynomialValue = TestsHelper.ReadUnivarPolynomial(
polynomialsTexts[i],
longDomain,
longParser,
longToIntegerConversion,
variableName);
var expectedPolynomial = TestsHelper.ReadUnivarPolynomial(
expectedPolinomialsTexts[i],
longDomain,
longParser,
longToIntegerConversion,
variableName);
var actualPolynomial = MathFunctions.Power(polynomialValue, intPowers[i], longPolDomain);
Assert.AreEqual(expectedPolynomial, actualPolynomial);
}
// Coeficientes correspondentes a inteiros de precisão arbitrária.
for (int i = 0; i < 3; ++i)
{
var polynomialValue = TestsHelper.ReadUnivarPolynomial(
polynomialsTexts[i],
bigIntegerDomain,
bigIntegerParser,
bigIntegerToIntegerConversion,
variableName);
var expectedPolynomial = TestsHelper.ReadUnivarPolynomial(
expectedPolinomialsTexts[i],
bigIntegerDomain,
bigIntegerParser,
bigIntegerToIntegerConversion,
variableName);
var actualPolynomial = MathFunctions.Power(polynomialValue, intPowers[i], bigIntegerPolDomain);
Assert.AreEqual(expectedPolynomial, actualPolynomial);
}
}