//MULTIPLICATION
public IComplexNumber Multiplication(IComplexNumber numberA, IComplexNumber numberB)
{
// a+bi * c+di
// ac+bci+adi+bdi^2
// ac+bci+adi-bd
// ac-bd+bci+adi
// (ac-bd)+(bc+ad)i
//
// http://mathworld.wolfram.com/ComplexMultiplication.html
double real = numberA.getPartReal() * numberB.getPartReal() - numberA.getPartComplex() * numberB.getPartComplex();
double complex = numberA.getPartComplex() * numberB.getPartReal() + numberA.getPartReal() * numberB.getPartComplex();
return FactoryComplexNumber.GenerateComplexNumber(real, complex);
}
public IComplexNumber Multiplication(IComplexNumber number, double factor)
{
double real = number.getPartReal() * factor;
double complex = number.getPartComplex() * factor;
return FactoryComplexNumber.GenerateComplexNumber(real, complex);
}
//INVERSE
public IComplexNumber Inverse(IComplexNumber number)
{
double real = 1 / number.getPartReal();
double complex = 1 / number.getPartComplex();
return FactoryComplexNumber.GenerateComplexNumber(real, complex);
}
//CONJUGATE
public IComplexNumber Conjugate(IComplexNumber number)
{
double real = number.getPartReal();
double complex = -number.getPartComplex();
return FactoryComplexNumber.GenerateComplexNumber(real, complex);
}
//ADDITION
public IComplexNumber Add(IComplexNumber numberA, IComplexNumber numberB)
{
double real = numberA.getPartReal() + numberB.getPartReal();
double complex = numberA.getPartComplex() + numberB.getPartComplex();
return FactoryComplexNumber.GenerateComplexNumber(real, complex);
}
//CATEGORIZATION
public bool Equals(IComplexNumber number)
{
return ((this.getPartReal().Equals(number.getPartReal())) && (this.getPartComplex().Equals(number.getPartComplex())));
}
public void Initialize(IComplexNumber number)
{
setPartReal ( number.getPartReal() );
setPartComplex( number.getPartComplex() );
}
//SIGN REVERSAL
public IComplexNumber SignReversal(IComplexNumber number)
{
double real = -number.getPartReal();
double complex = -number.getPartComplex();
return FactoryComplexNumber.GenerateComplexNumber(real, complex);
}
public double PoweredNormEuclidean(IComplexNumber number)
{
// http://mathworld.wolfram.com/ComplexModulus.html
double coefA = System.Math.Pow(number.getPartReal(), 2);
double coefB = System.Math.Pow(number.getPartComplex(), 2);
return coefA + coefB; // nada de restas ni de valores absolutos
}