public void PowerTest_BigInteger()
{
var multiplier = new BigIntegerDomain();
var intPowers = new int[] { 2, 3, 4, 1, 20, 13 };
var longPowers = new long[] { 2, 3, 4, 1, 20, 13 };
var bigIntPowers = new BigInteger[] { 2, 3, 4, 1, 20, 13 };
var values = new BigInteger[] { 13, 25, 11, 100, 2, 3 };
var expected = new BigInteger[] { 169, 15625, 14641, 100, 1048576, 1594323 };
// Potências inteiras.
for (int i = 0; i < intPowers.Length; ++i)
{
var actual = MathFunctions.Power(values[i], intPowers[i], multiplier);
Assert.AreEqual(expected[i], actual);
}
// Potências longas
for (int i = 0; i < intPowers.Length; ++i)
{
var actual = MathFunctions.Power(values[i], longPowers[i], multiplier);
Assert.AreEqual(expected[i], actual);
}
// Potências com inteiros grandes.
for (int i = 0; i < intPowers.Length; ++i)
{
var actual = MathFunctions.Power(values[i], bigIntPowers[i], multiplier);
Assert.AreEqual(expected[i], actual);
}
// Potências genéricas.
var integerNumber = new IntegerDomain();
var longNumber = new LongDomain();
var bigIntegerNumber = new BigIntegerDomain();
// Potências inteiras.
for (int i = 0; i < intPowers.Length; ++i)
{
var actual = MathFunctions.Power(values[i], intPowers[i], multiplier, integerNumber);
Assert.AreEqual(expected[i], actual);
}
// Potências longas
for (int i = 0; i < intPowers.Length; ++i)
{
var actual = MathFunctions.Power(values[i], longPowers[i], multiplier, longNumber);
Assert.AreEqual(expected[i], actual);
}
// Potências com inteiros grandes.
for (int i = 0; i < intPowers.Length; ++i)
{
var actual = MathFunctions.Power(values[i], bigIntPowers[i], multiplier, bigIntegerNumber);
Assert.AreEqual(expected[i], actual);
}
}
public void GreatCommonDivisorTest_LongNumber()
{
var domain = new LongDomain();
var firstValues = new long[] { 6, 48, 3251, 100, 3528, 427 };
var secondValues = new long[] { 12, 36, 4525, 75, 4116, 254 };
var expected = new long[] { 6, 12, 1, 25, 588, 1 };
for (int i = 0; i < firstValues.Length; ++i)
{
var actual = MathFunctions.GreatCommonDivisor(firstValues[i], secondValues[i], domain);
Assert.AreEqual(expected[i], actual);
}
}
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 GetPolynomialDerivativeTest_SimpleInteger()
{
// Representação dos polinómios.
var polynomText = "x^1000-2*x^550+1000*x^10+50";
var polDerivativeText = "1000*x^999-1100*x^549+10000*x^9";
var variableName = "x";
// Estabelece os domínios.
var integerDomain = new IntegerDomain();
var longDomain = new LongDomain();
var bigIntegerDomain = new BigIntegerDomain();
// Estabelece os conversores.
var integerToIntegerConv = new ElementToElementConversion <int>();
var integerToLongConv = new LongToIntegerConversion();
var integerToBigIntegerConvsersion = new BigIntegerToIntegerConversion();
// Estabelece os leitores individuais.
var integerParser = new IntegerParser <string>();
var longParser = new LongParser <string>();
var bigIntegerParser = new BigIntegerParser <string>();
// Estabelece os polinómios.
var integerPolynomial = TestsHelper.ReadUnivarPolynomial(
polynomText,
integerDomain,
integerParser,
integerToIntegerConv,
variableName);
var integerExpectedPolynomial = TestsHelper.ReadUnivarPolynomial(
polDerivativeText,
integerDomain,
integerParser,
integerToIntegerConv,
variableName);
var integerActualDerivative = integerPolynomial.GetPolynomialDerivative(integerDomain);
// Verifica se os polinómios são válidos.
Assert.AreEqual(integerExpectedPolynomial, integerActualDerivative);
// Estabelece os polinómios.
var longPolynomial = TestsHelper.ReadUnivarPolynomial(
polynomText,
longDomain,
longParser,
integerToLongConv,
variableName);
var longExpectedPolynomial = TestsHelper.ReadUnivarPolynomial(
polDerivativeText,
longDomain,
longParser,
integerToLongConv,
variableName);
var longActualDerivative = longPolynomial.GetPolynomialDerivative(longDomain);
// Verifica se os polinómios são válidos.
Assert.AreEqual(longExpectedPolynomial, longActualDerivative);
// Estabelece os polinómios.
var bigIntegerPolynomial = TestsHelper.ReadUnivarPolynomial(
polynomText,
bigIntegerDomain,
bigIntegerParser,
integerToBigIntegerConvsersion,
variableName);
var bigIntegerExpectedPolynomial = TestsHelper.ReadUnivarPolynomial(
polDerivativeText,
bigIntegerDomain,
bigIntegerParser,
integerToBigIntegerConvsersion,
variableName);
var bigIntegerActualDerivative = bigIntegerPolynomial.GetPolynomialDerivative(bigIntegerDomain);
// Verifica se os polinómios são válidos.
Assert.AreEqual(bigIntegerExpectedPolynomial, bigIntegerActualDerivative);
}
public void GetPolynomialDerivativeTest_IntegerMatrix()
{
// Os valores a serem lidos
var polynomialText = "[[1,2],[3,4]]*x^2-[[1,0],[0,1]]*x+[[7,6],[9,8]]";
var polynomialDerivativeText = "[[2,4],[6,8]]*x+[[-1,0],[0,-1]]";
var variableName = "x";
var arrayDelimiters = new Dictionary <string, string>();
arrayDelimiters.Add("left_bracket", "right_bracket");
// Os domínios responsáveis sobre as 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>();
// As fábricas responsáveis pela instanciação de matrizes
var integerSquareArrayMatrixfactory = new ArraySquareMatrixFactory <int>();
var longSquareArrayMatrixFactory = new ArraySquareMatrixFactory <long>();
var bigIntegerSquareArrayMatrixfactory = new ArraySquareMatrixFactory <BigInteger>();
// Os anéis de matrizes
var integerGenericMatrixRing = new GeneralMatrixRing <int>(
2,
integerSquareArrayMatrixfactory,
integerDomain);
var longGenericMatrixRing = new GeneralMatrixRing <long>(
2,
longSquareArrayMatrixFactory,
longDomain);
var bigIntegerGenericMatrixRing = new GeneralMatrixRing <BigInteger>(
2,
bigIntegerSquareArrayMatrixfactory,
bigIntegerDomain);
// Os objectos responsáveis pela conversão entre os coeficientes e o grau (inteiro)
var integerMatrixConversion = new CantConvertConversion <int, IMatrix <int> >();
var longMatrixConversion = new CantConvertConversion <int, IMatrix <long> >();
var bigIntegerMatrixConversion = new CantConvertConversion <int, IMatrix <BigInteger> >();
var integerMatrixConfigParser = new ConfigMatrixParser <int, IMatrix <int> >(
integerParser,
2,
2,
(i, j) => integerSquareArrayMatrixfactory.CreateMatrix(i, j));
integerMatrixConfigParser.SeparatorSymbType = "comma";
integerMatrixConfigParser.MapInternalDelimiters("left_bracket", "right_bracket");
integerMatrixConfigParser.AddBlanckSymbolType("blancks");
var longMatrixConfigParser = new ConfigMatrixParser <long, IMatrix <long> >(
longParser,
2,
2,
(i, j) => longSquareArrayMatrixFactory.CreateMatrix(i, j));
longMatrixConfigParser.SeparatorSymbType = "comma";
longMatrixConfigParser.MapInternalDelimiters("left_bracket", "right_bracket");
longMatrixConfigParser.AddBlanckSymbolType("blancks");
var bigIntegerMatrixConfigParser = new ConfigMatrixParser <BigInteger, IMatrix <BigInteger> >(
bigIntegerParser,
2,
2,
(i, j) => bigIntegerSquareArrayMatrixfactory.CreateMatrix(i, j));
bigIntegerMatrixConfigParser.SeparatorSymbType = "comma";
bigIntegerMatrixConfigParser.MapInternalDelimiters("left_bracket", "right_bracket");
bigIntegerMatrixConfigParser.AddBlanckSymbolType("blancks");
// Leitura dos polinómios e subsequente teste.
var integerPolynomial = TestsHelper.ReadUnivarPolynomial <IMatrix <int> >(
polynomialText,
integerGenericMatrixRing,
integerMatrixConfigParser,
integerMatrixConversion,
variableName,
arrayDelimiters);
var integerExpectedDerivative = TestsHelper.ReadUnivarPolynomial(
polynomialDerivativeText,
integerGenericMatrixRing,
integerMatrixConfigParser,
integerMatrixConversion,
variableName,
arrayDelimiters,
true);
var integerActualDerivative = integerPolynomial.GetPolynomialDerivative(integerGenericMatrixRing);
Assert.IsTrue(
new UnivarPolynomNormalFormEqualityComparer <IMatrix <int> >(integerGenericMatrixRing).Equals(integerExpectedDerivative, integerActualDerivative),
string.Format("Expected {0} isn't equal to actual {1}.", integerExpectedDerivative, integerActualDerivative));
var longPolynomial = TestsHelper.ReadUnivarPolynomial(
polynomialText,
longGenericMatrixRing,
longMatrixConfigParser,
longMatrixConversion,
variableName,
arrayDelimiters);
var longExpectedDerivative = TestsHelper.ReadUnivarPolynomial(
polynomialDerivativeText,
longGenericMatrixRing,
longMatrixConfigParser,
longMatrixConversion,
variableName,
arrayDelimiters,
true);
var longActualDerivative = longPolynomial.GetPolynomialDerivative(longGenericMatrixRing);
Assert.IsTrue(
new UnivarPolynomNormalFormEqualityComparer <IMatrix <long> >(longGenericMatrixRing).Equals(longExpectedDerivative, longActualDerivative),
string.Format("Expected {0} isn't equal to actual {1}.", integerExpectedDerivative, integerActualDerivative));
var bigIntegerPolynomial = TestsHelper.ReadUnivarPolynomial(
polynomialText,
bigIntegerGenericMatrixRing,
bigIntegerMatrixConfigParser,
bigIntegerMatrixConversion,
variableName,
arrayDelimiters);
var bigIntegerExpectedDerivative = TestsHelper.ReadUnivarPolynomial(
polynomialDerivativeText,
bigIntegerGenericMatrixRing,
bigIntegerMatrixConfigParser,
bigIntegerMatrixConversion,
variableName,
arrayDelimiters,
true);
var bigIntegerActualDerivative = bigIntegerPolynomial.GetPolynomialDerivative(bigIntegerGenericMatrixRing);
Assert.IsTrue(
new UnivarPolynomNormalFormEqualityComparer <IMatrix <BigInteger> >(
bigIntegerGenericMatrixRing).Equals(bigIntegerExpectedDerivative,
bigIntegerActualDerivative),
string.Format("Expected {0} isn't equal to actual {1}.", integerExpectedDerivative, integerActualDerivative));
}
public void GetPolynomialDerivativeTest_IntegerFraction()
{
var polynomialText = "1/2*x^5+3/4*x^4-2/7*x^3+5/3*x^2+1/5*x+9";
var polynomialDerivativeText = "5/2*x^4+3*x^3-6/7*x^2+10/3*x+1/5";
var variableName = "x";
var integerDomain = new IntegerDomain();
var longDomain = new LongDomain();
var bigIntegerDomain = new BigIntegerDomain();
var integerParser = new IntegerParser <string>();
var longParser = new LongParser <string>();
var bigIntegerParser = new BigIntegerParser <string>();
var longConversion = new LongToIntegerConversion();
var bigIntegerConversion = new BigIntegerToIntegerConversion();
var integerFractionConversion = new ElementFractionConversion <int>(integerDomain);
var longfractionConversion = new OuterElementFractionConversion <int, long>(longConversion, longDomain);
var bigIntegerfractionConversion = new OuterElementFractionConversion <int, BigInteger>(bigIntegerConversion, bigIntegerDomain);
var integerFractionField = new FractionField <int>(integerDomain);
var longFractionField = new FractionField <long>(longDomain);
var bigIntegerFractionField = new FractionField <BigInteger>(bigIntegerDomain);
// Coeficientes inteiros
var integerPolynomial = TestsHelper.ReadFractionalCoeffsUnivarPol <int, IntegerDomain>(
polynomialText,
integerDomain,
integerParser,
integerFractionConversion,
variableName);
var integerPolynomialDerivative = TestsHelper.ReadFractionalCoeffsUnivarPol <int, IntegerDomain>(
polynomialDerivativeText,
integerDomain,
integerParser,
integerFractionConversion,
variableName);
var integerActualPolDerivative = integerPolynomial.GetPolynomialDerivative(integerFractionField);
Assert.AreEqual(integerPolynomialDerivative, integerActualPolDerivative);
// Coeficientes longos
var longPolynomial = TestsHelper.ReadFractionalCoeffsUnivarPol <long, LongDomain>(
polynomialText,
longDomain,
longParser,
longfractionConversion,
variableName);
var longPolynomialDerivative = TestsHelper.ReadFractionalCoeffsUnivarPol <long, LongDomain>(
polynomialDerivativeText,
longDomain,
longParser,
longfractionConversion,
variableName);
var longActualPolDerivative = longPolynomial.GetPolynomialDerivative(longFractionField);
Assert.AreEqual(longPolynomialDerivative, longActualPolDerivative);
var bigIntegerPolynomial = TestsHelper.ReadFractionalCoeffsUnivarPol <BigInteger, BigIntegerDomain>(
polynomialText,
bigIntegerDomain,
bigIntegerParser,
bigIntegerfractionConversion,
variableName);
var bigIntegerPolynomialDerivative = TestsHelper.ReadFractionalCoeffsUnivarPol <BigInteger, BigIntegerDomain>(
polynomialDerivativeText,
bigIntegerDomain,
bigIntegerParser,
bigIntegerfractionConversion,
variableName);
var bigIntegerActualPolDerivative = bigIntegerPolynomial.GetPolynomialDerivative(bigIntegerFractionField);
Assert.AreEqual(bigIntegerPolynomialDerivative, bigIntegerActualPolDerivative);
}
public void PowerTest_FractionPolynomial()
{
var integerDomain = new IntegerDomain();
var longDomain = new LongDomain();
var bigIntegerDomain = new BigIntegerDomain();
var variableName = "x";
var integerPolynomialField = new UnivarPolynomEuclideanDomain <Fraction <int> >(
variableName,
new FractionField <int>(integerDomain));
var longPolynomialField = new UnivarPolynomEuclideanDomain <Fraction <long> >(
variableName,
new FractionField <long>(longDomain));
var bigIntegerPolynomialField = new UnivarPolynomEuclideanDomain <Fraction <BigInteger> >(
variableName,
new FractionField <BigInteger>(bigIntegerDomain));
// Leitores
var integerParser = new IntegerParser <string>();
var longParser = new LongParser <string>();
var bigIntegerParser = new BigIntegerParser <string>();
var integerConversion = new OuterElementFractionConversion <int, int>(new ElementToElementConversion <int>(), integerDomain);
var longToIntegerConversion = new OuterElementFractionConversion <int, long>(new LongToIntegerConversion(), longDomain);
var bigIntegerToIntegerConversion = new OuterElementFractionConversion <int, BigInteger>(new BigIntegerToIntegerConversion(), bigIntegerDomain);
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] {
"1/3*x^3-2/3*x^2+3/2*x-1/2", "2*x^2+4/3*x+4/9", "7/5*x+1"
};
var expectedPolinomialsTexts = new string[3] {
"1/9*x^6-4/9*x^5+13/9*x^4-7/3*x^3+35/12*x^2-3/2*x+1/4",
"8*x^6+16*x^5+16*x^4+256/27*x^3+32/9*x^2+64/81*x+64/729",
"2401/625*x^4+1372/125*x^3+294/25*x^2+28/5*x+1"
};
// Coeficientes inteiros.
for (int i = 0; i < 3; ++i)
{
var polynomialValue = TestsHelper.ReadFractionalCoeffsUnivarPol(
polynomialsTexts[i],
integerDomain,
integerParser,
integerConversion,
variableName);
var expectedPolynomial = TestsHelper.ReadFractionalCoeffsUnivarPol(
expectedPolinomialsTexts[i],
integerDomain,
integerParser,
integerConversion,
variableName);
var actualPolynomial = MathFunctions.Power(polynomialValue, intPowers[i], integerPolynomialField);
Assert.AreEqual(expectedPolynomial, actualPolynomial);
}
// Coeficientes longos.
for (int i = 0; i < 3; ++i)
{
var polynomialValue = TestsHelper.ReadFractionalCoeffsUnivarPol(
polynomialsTexts[i],
longDomain,
longParser,
longToIntegerConversion,
variableName);
var expectedPolynomial = TestsHelper.ReadFractionalCoeffsUnivarPol(
expectedPolinomialsTexts[i],
longDomain,
longParser,
longToIntegerConversion,
variableName);
var actualPolynomial = MathFunctions.Power(polynomialValue, intPowers[i], longPolynomialField);
Assert.AreEqual(expectedPolynomial, actualPolynomial);
}
// Coeficientes correspondentes a inteiros de precisão arbitrária.
for (int i = 0; i < 3; ++i)
{
var polynomialValue = TestsHelper.ReadFractionalCoeffsUnivarPol(
polynomialsTexts[i],
bigIntegerDomain,
bigIntegerParser,
bigIntegerToIntegerConversion,
variableName);
var expectedPolynomial = TestsHelper.ReadFractionalCoeffsUnivarPol(
expectedPolinomialsTexts[i],
bigIntegerDomain,
bigIntegerParser,
bigIntegerToIntegerConversion,
variableName);
var actualPolynomial = MathFunctions.Power(polynomialValue, intPowers[i], bigIntegerPolynomialField);
Assert.AreEqual(expectedPolynomial, actualPolynomial);
}
}
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);
}
}
public void PowerTest_BigIntegerFraction()
{
var domain = new BigIntegerDomain();
var multiplier = new FractionField <BigInteger>(domain);
var intPowers = new int[] { 2, 3, 4, 1, 20, 13 };
var longPowers = new long[] { 2, 3, 4, 1, 20, 13 };
var bigIntPowers = new BigInteger[] { 2, 3, 4, 1, 20, 13 };
var values = new[] {
new Fraction <BigInteger>(13, 17, domain),
new Fraction <BigInteger>(25, 23, domain),
new Fraction <BigInteger>(11, 15, domain),
new Fraction <BigInteger>(100, 99, domain),
new Fraction <BigInteger>(1, 2, domain),
new Fraction <BigInteger>(3, 5, domain)
};
var expected = new[] {
new Fraction <BigInteger>(169, 289, domain),
new Fraction <BigInteger>(15625, 12167, domain),
new Fraction <BigInteger>(14641, 50625, domain),
new Fraction <BigInteger>(100, 99, domain),
new Fraction <BigInteger>(1, 1048576, domain),
new Fraction <BigInteger>(1594323, 1220703125, domain)
};
// Potências inteiras.
for (int i = 0; i < intPowers.Length; ++i)
{
var actual = MathFunctions.Power(values[i], intPowers[i], multiplier);
Assert.AreEqual(expected[i], actual);
}
// Potências longas
for (int i = 0; i < intPowers.Length; ++i)
{
var actual = MathFunctions.Power(values[i], longPowers[i], multiplier);
Assert.AreEqual(expected[i], actual);
}
// Potências com inteiros grandes.
for (int i = 0; i < intPowers.Length; ++i)
{
var actual = MathFunctions.Power(values[i], bigIntPowers[i], multiplier);
Assert.AreEqual(expected[i], actual);
}
// Potências genéricas.
var integerNumber = new IntegerDomain();
var longNumber = new LongDomain();
var bigIntegerNumber = new BigIntegerDomain();
// Potências inteiras.
for (int i = 0; i < intPowers.Length; ++i)
{
var actual = MathFunctions.Power(values[i], intPowers[i], multiplier, integerNumber);
Assert.AreEqual(expected[i], actual);
}
// Potências longas
for (int i = 0; i < intPowers.Length; ++i)
{
var actual = MathFunctions.Power(values[i], longPowers[i], multiplier, longNumber);
Assert.AreEqual(expected[i], actual);
}
// Potências com inteiros grandes.
for (int i = 0; i < intPowers.Length; ++i)
{
var actual = MathFunctions.Power(values[i], bigIntPowers[i], multiplier, bigIntegerNumber);
Assert.AreEqual(expected[i], actual);
}
}
