/* Assumes this and obj are both canonicalized. */
public override bool Equals(object obj)
{
if (obj == null || !(obj is RatNum))
{
return(false);
}
return(RatNum.equals(this, (RatNum)obj));
}
public override Numeric mulReversed(Numeric x)
{
if (!(x is RatNum))
{
throw new ArgumentException();
}
return(RatNum.times((RatNum)x, this));
}
public override Numeric addReversed(Numeric x, int k)
{
if (!(x is RatNum))
{
throw new ArgumentException();
}
return(RatNum.add((RatNum)x, this, k));
}
public override int CompareTo(object obj)
{
if (obj is RatNum)
{
return(RatNum.compare(this, (RatNum)obj));
}
return(((RealNum)obj).compareReversed(this));
}
public static RatNum add(RatNum x, RatNum y, int k)
{
IntNum x_num = x.numerator();
IntNum x_den = x.denominator();
IntNum y_num = y.numerator();
IntNum y_den = y.denominator();
if (IntNum.equals (x_den, y_den))
return RatNum.make (IntNum.add (x_num, y_num, k), x_den);
return RatNum.make (IntNum.add (IntNum.times (y_den, x_num),
IntNum.times (y_num, x_den), k),
IntNum.times (x_den, y_den));
}
public override Numeric div(object y)
{
if (y is RatNum)
{
return(RatNum.divide(this, (RatNum)y));
}
if (!(y is Numeric))
{
throw new ArgumentException();
}
return(((Numeric)y).divReversed(this));
}
public override Numeric mul(object y)
{
if (y is RatNum)
{
return(RatNum.times(this, (RatNum)y));
}
if (!(y is Numeric))
{
throw new ArgumentException();
}
return(((Numeric)y).mulReversed(this));
}
public override Numeric add(object y, int k)
{
if (y is RatNum)
{
return(RatNum.add(this, (RatNum)y, k));
}
if (!(y is Numeric))
{
throw new ArgumentException();
}
return(((Numeric)y).addReversed(this, k));
}
public static RatNum add(RatNum x, RatNum y, int k)
{
IntNum x_num = x.numerator();
IntNum x_den = x.denominator();
IntNum y_num = y.numerator();
IntNum y_den = y.denominator();
if (IntNum.equals(x_den, y_den))
{
return(RatNum.make(IntNum.add(x_num, y_num, k), x_den));
}
return(RatNum.make(IntNum.add(IntNum.times(y_den, x_num),
IntNum.times(y_num, x_den), k),
IntNum.times(x_den, y_den)));
}
/** Convert rational to (rounded) integer, after multiplying by 10**k. */
public static IntNum toScaledInt(RatNum r, int k)
{
if (k != 0)
{
IntNum power = IntNum.power(IntNum.ten(), k < 0 ? -k : k);
IntNum num = r.numerator();
IntNum den = r.denominator();
if (k >= 0)
num = IntNum.times(num, power);
else
den = IntNum.times(den, power);
r = RatNum.make(num, den);
}
return r.toExactInt(ROUND);
}
/** Convert rational to (rounded) integer, after multiplying by 10**k. */
public static IntNum toScaledInt(RatNum r, int k)
{
if (k != 0)
{
IntNum power = IntNum.power(IntNum.ten(), k < 0 ? -k : k);
IntNum num = r.numerator();
IntNum den = r.denominator();
if (k >= 0)
{
num = IntNum.times(num, power);
}
else
{
den = IntNum.times(den, power);
}
r = RatNum.make(num, den);
}
return(r.toExactInt(ROUND));
}
/* Assumes x and y are both canonicalized. */
public static bool equals(RatNum x, RatNum y)
{
return(IntNum.equals(x.numerator(), y.numerator()) &&
IntNum.equals(x.denominator(), y.denominator()));
}
public static int compare(RatNum x, RatNum y)
{
return(IntNum.compare(IntNum.times(x.numerator(), y.denominator()),
IntNum.times(y.numerator(), x.denominator())));
}
public Number(RatNum value)
{
this.value = value;
kind = false;
}
public IokeObject NewNumber(RatNum number)
{
if(number is IntNum) {
return NewNumber((IntNum)number);
} else {
IokeObject obj = this.Ratio.AllocateCopy(null, null);
obj.MimicsWithoutCheck(this.Ratio);
obj.Data = Ioke.Lang.Number.Ratio((IntFraction)number);
return obj;
}
}
public override int compareReversed(Numeric x)
{
return(RatNum.compare((RatNum)x, this));
}
public static RatNum divide(RatNum x, RatNum y)
{
return(RatNum.make(IntNum.times(x.numerator(), y.denominator()),
IntNum.times(x.denominator(), y.numerator())));
}
public static int compare(RatNum x, RatNum y)
{
return IntNum.compare (IntNum.times (x.numerator (), y.denominator ()),
IntNum.times (y.numerator (), x.denominator ()));
}
public static Decimal CreateDecimal(RatNum val)
{
return new Decimal(new BigDecimal(val.longValue()));
}
/* Assumes x and y are both canonicalized. */
public static bool equals(RatNum x, RatNum y)
{
return IntNum.equals (x.numerator(), y.numerator())
&& IntNum.equals (x.denominator(), y.denominator());
}
private Number()
{
this.value = IntNum.make(0);
kind = true;
}
public static RatNum times(RatNum x, RatNum y)
{
return RatNum.make (IntNum.times (x.numerator(), y.numerator()),
IntNum.times (x.denominator(), y.denominator()));
}