/// <summary>
/// 按位乘法运算（不考虑正负号）
/// </summary>
/// <param name="num">乘数</param>
/// <param name="maxDecimalPlaces">答案保留小数位数</param>
/// <returns></returns>
protected override Digitable Multiply_unsigned(Digitable num, int maxDecimalPlaces)
{
RationalNum a = this, b = num as RationalNum;
if (a == null || b == null)
{
throw new ProgramInterruptException(ProgramInterruptExceptionType.IllegalValue);
}
//统一计算空间
if (a.Space != b.Space)
{
if (a.Space == OperationSpace.DefaultSpace)
{
a = (RationalNum)a.ChangeOperationSpace(b.Space);
}
else if (b.Space == OperationSpace.DefaultSpace)
{
b = (RationalNum)b.ChangeOperationSpace(a.Space);
}
else
{
throw new ProgramInterruptException(ProgramInterruptExceptionType.NotSameOperationSpace);
}
}
return(new RationalNum(a.numerator * b.numerator, a.denominator * b.denominator, 1, a.Space, maxDecimalPlaces));
}
/// <summary>
/// 按位取模运算（不考虑正负号）
/// </summary>
/// <param name="num">模数</param>
/// <param name="maxDecimalPlaces">答案保留小数位数</param>
/// <returns>包含余数和商的元组</returns>
protected override (Digitable, Digitable) Mod_unsigned(Digitable num, int maxDecimalPlaces)
{
RationalNum a = this, b = num as RationalNum;
if (a == null || b == null)
{
throw new ProgramInterruptException(ProgramInterruptExceptionType.IllegalValue);
}
//统一计算空间
if (a.Space != b.Space)
{
if (a.Space == OperationSpace.DefaultSpace)
{
a = (RationalNum)a.ChangeOperationSpace(b.Space);
}
else if (b.Space == OperationSpace.DefaultSpace)
{
b = (RationalNum)b.ChangeOperationSpace(a.Space);
}
else
{
throw new ProgramInterruptException(ProgramInterruptExceptionType.NotSameOperationSpace);
}
}
var ans = new RationalNum(a, b, 1, a.Space);
ans.GetMixedNumber(out var i, out var n);
return(new RationalNum(n * b.numerator, ans.denominator * b.denominator, 1, a.Space, maxDecimalPlaces),
i);
}
/// <summary>
/// 将本数和另一个数取绝对值进行比较，大于输出1，小于输出-1，等于输出0
/// </summary>
/// <param name="num"></param>
/// <returns></returns>
public override int CompareAbsolute(Digitable num)
{
RationalNum a = this, b = num as RationalNum;
if (ReferenceEquals(a, b))
{
return(0);
}
if (a == null || b == null)
{
throw new ProgramInterruptException(ProgramInterruptExceptionType.IllegalValue);
}
//统一计算空间
if (a.Space != b.Space)
{
if (a.Space == OperationSpace.DefaultSpace)
{
a = (RationalNum)a.ChangeOperationSpace(b.Space);
}
else if (b.Space == OperationSpace.DefaultSpace)
{
b = (RationalNum)b.ChangeOperationSpace(a.Space);
}
else
{
throw new ProgramInterruptException(ProgramInterruptExceptionType.NotSameOperationSpace);
}
}
//通分
ReductionToACommonDenominator(out var d, out var nums, a, b);
return(nums[0].CompareAbsolute(nums[1]));
}