operator -(ComplexRational rational)
{
ComplexRational ret = new ComplexRational(rational);
ret.NegateInplace();
return(ret);
}
operator -(
ComplexRational rational,
ComplexPolynomial polynomial)
{
ComplexRational ret = new ComplexRational(rational);
ret.SubtractInplace(polynomial);
return(ret);
}
operator -(
ComplexRational rational,
double n)
{
ComplexRational ret = new ComplexRational(rational);
ret.SubtractInplace(n);
return(ret);
}
operator *(
Complex n,
ComplexRational rational)
{
ComplexRational ret = new ComplexRational(rational);
ret.MultiplyInplace(n);
return(ret);
}
operator /(
ComplexPolynomial polynomial,
ComplexRational rational)
{
ComplexRational ret = rational.Divide(polynomial);
ret.InvertInplace();
return(ret);
}
operator /(
ComplexRational rational,
double n)
{
ComplexRational ret = new ComplexRational(rational);
ret.DivideInplace(n);
return(ret);
}
operator +(
Complex n,
ComplexRational rational)
{
ComplexRational ret = new ComplexRational(rational);
ret.AddInplace(n);
return(ret);
}
operator +(
ComplexPolynomial polynomial,
ComplexRational rational)
{
ComplexRational ret = new ComplexRational(rational);
ret.AddInplace(polynomial);
return(ret);
}
operator /(
double n,
ComplexRational rational)
{
ComplexRational ret = new ComplexRational(rational);
ret.InvertInplace();
ret.MultiplyInplace(n);
return(ret);
}
CompareTo(ComplexRational rational)
{
int n = _numerator.CompareTo(rational._numerator);
if (n == 0)
{
n = _denominator.CompareTo(rational._denominator);
}
return(n);
}
Subtract(ComplexRational rational)
{
if (_denominator.Equals(rational._denominator))
{
return(new ComplexRational(
_numerator - rational._numerator,
_denominator.Clone()));
}
ComplexPolynomial num = (_numerator * rational._denominator) - (rational._numerator * _denominator);
ComplexPolynomial denom = _denominator * rational._denominator;
return(new ComplexRational(num, denom));
}
/// <summary>
/// Create a new rational as the result of multiplying a rational to this rational.
/// </summary>
/// <param name="rational">The rational to multiply with.</param>
public ComplexRational Multiply(ComplexRational rational)
{
return new ComplexRational(
_numerator * rational._numerator,
_denominator * rational._denominator);
}
/// <summary>
/// Subtract a polynomial from a rational.
/// </summary>
public static ComplexRational operator -(
ComplexRational rational,
ComplexPolynomial polynomial)
{
ComplexRational ret = new ComplexRational(rational);
ret.SubtractInplace(polynomial);
return ret;
}
/// <summary>
/// Subtract a rational from a polynomial.
/// </summary>
public static ComplexRational operator -(
ComplexPolynomial polynomial,
ComplexRational rational)
{
ComplexRational ret = new ComplexRational(rational);
ret.NegateInplace();
ret.AddInplace(polynomial);
return ret;
}
/// <summary>
/// Subtract a real number from a rational.
/// </summary>
public static ComplexRational operator -(
ComplexRational rational,
double n)
{
ComplexRational ret = new ComplexRational(rational);
ret.SubtractInplace(n);
return ret;
}
/// <summary>
/// Negate a rational.
/// </summary>
public static ComplexRational operator -(ComplexRational rational)
{
ComplexRational ret = new ComplexRational(rational);
ret.NegateInplace();
return ret;
}
/// <summary>
/// Stretch a rational with a real number quotient.
/// </summary>
public static ComplexRational operator /(
ComplexRational rational,
double n)
{
ComplexRational ret = new ComplexRational(rational);
ret.DivideInplace(n);
return ret;
}
/// <summary>
/// Stretch a the inverse of a rational with a real number quotient.
/// </summary>
public static ComplexRational operator /(
double n,
ComplexRational rational)
{
ComplexRational ret = new ComplexRational(rational);
ret.InvertInplace();
ret.MultiplyInplace(n);
return ret;
}
/// <summary>
/// Check whether two rationals are equal.
/// </summary>
public static bool Equals(
ComplexRational rational1,
ComplexRational rational2)
{
return rational1.Equals(rational2);
}
/// <summary>
/// Add a rational to a real number.
/// </summary>
public static ComplexRational operator +(
Complex n,
ComplexRational rational)
{
ComplexRational ret = new ComplexRational(rational);
ret.AddInplace(n);
return ret;
}
Equals(ComplexRational rational)
{
return(_numerator.Equals(rational._numerator) &&
_denominator.Equals(rational._denominator));
}
/// <summary>
/// Check whether this rational is equal to another rational.
/// </summary>
public bool Equals(ComplexRational rational)
{
return _numerator.Equals(rational._numerator)
&& _denominator.Equals(rational._denominator);
}
/// <summary>
/// Create a new rational as the result of dividing a rational from this rational.
/// </summary>
/// <param name="rational">The rational to divide with.</param>
public ComplexRational Divide(ComplexRational rational)
{
return new ComplexRational(
_numerator * rational._denominator,
_denominator * rational._numerator);
}
/// <summary>
/// Compare this rational to another rational.
/// </summary>
public int CompareTo(ComplexRational rational)
{
int n = _numerator.CompareTo(rational._numerator);
if(n == 0)
{
n = _denominator.CompareTo(rational._denominator);
}
return n;
}
Divide(ComplexRational rational)
{
return(new ComplexRational(
_numerator * rational._denominator,
_denominator * rational._numerator));
}
/// <summary>
/// Create a new rational as the result of subtracting a rational from this rational.
/// </summary>
/// <param name="rational">The rational to subtract.</param>
public ComplexRational Subtract(ComplexRational rational)
{
if(_denominator.Equals(rational._denominator))
{
return new ComplexRational(
_numerator - rational._numerator,
_denominator.Clone());
}
ComplexPolynomial num = (_numerator * rational._denominator) - (rational._numerator * _denominator);
ComplexPolynomial denom = _denominator * rational._denominator;
return new ComplexRational(num, denom);
}
Equals(
ComplexRational rational1,
ComplexRational rational2)
{
return(rational1.Equals(rational2));
}
/// <summary>
/// Initializes a new instance of the ComplexRational class,
/// by deep-copy from an existing complex rational.
/// </summary>
/// <param name="copy">A rational to copy from.</param>
public ComplexRational(ComplexRational copy)
{
_numerator = new ComplexPolynomial(copy._numerator);
_denominator = new ComplexPolynomial(copy._denominator);
}
ComplexRational(ComplexRational copy)
{
_numerator = new ComplexPolynomial(copy._numerator);
_denominator = new ComplexPolynomial(copy._denominator);
}
/// <summary>
/// Stretch a polynomial with a real number factor.
/// </summary>
public static ComplexRational operator *(
Complex n,
ComplexRational rational)
{
ComplexRational ret = new ComplexRational(rational);
ret.MultiplyInplace(n);
return ret;
}
