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