internal static ComplexNumber FindGoodRoot(ComplexNumber @base, IntegerNumber power)
{
var list = new List <ComplexNumber>();
foreach (var root in GetAllRoots(@base, (long)power.Value).FiniteSet())
{
MathS.Settings.FloatToRationalIterCount.Set(15);
MathS.Settings.PrecisionErrorZeroRange.Set(1e-6m);
var downcasted = Functional.Downcast((root as NumberEntity).Value) as ComplexNumber;
MathS.Settings.PrecisionErrorZeroRange.Unset();
MathS.Settings.FloatToRationalIterCount.Unset();
if (downcasted.IsRational() && Number.IsZero(Number.Pow(downcasted, power) - @base)) // To keep user's desired precision
{
return(downcasted);
}
list.Add(downcasted);
}
foreach (var el in list)
{
if (el.IsReal() && (el as RealNumber) > 0)
{
return(el);
}
}
foreach (var el in list)
{
if (el.IsReal())
{
return(el);
}
}
return(list[0]);
}
protected internal new void Init()
{
if (Denominator.Value < 0)
{
Numerator = new IntegerNumber(-Numerator.Value);
Denominator = new IntegerNumber(-Denominator.Value);
}
if (!EDecimalWrapper.IsEqual(Denominator.Value, 0))
{
this.Value = CtxDivide((EDecimal)Numerator.Value, (EDecimal)Denominator.Value);
}
else
{
if (EDecimalWrapper.IsEqual(Numerator.Value, 0))
{
State = UndefinedState.NAN;
}
else if (Numerator.Value > 0)
{
State = UndefinedState.POSITIVE_INFINITY;
}
else
{
State = UndefinedState.NEGATIVE_INFINITY;
}
}
base.Init();
}
private void InitClass(IntegerNumber numerator, IntegerNumber denominator)
{
Numerator = numerator;
Denominator = denominator;
Type = HierarchyLevel.RATIONAL;
Init();
}
protected internal new void Init()
{
if (Denominator.Value < 0)
{
Numerator = new IntegerNumber(-Numerator.Value);
Denominator = new IntegerNumber(-Denominator.Value);
}
if (Denominator.Value != 0)
{
this.Value = (decimal)Numerator.Value / (decimal)Denominator.Value;
}
else
{
if (Numerator.Value == 0)
{
State = UndefinedState.NAN;
}
else if (Numerator.Value > 0)
{
State = UndefinedState.POSITIVE_INFINITY;
}
else
{
State = UndefinedState.NEGATIVE_INFINITY;
}
}
base.Init();
}
public static IntegerNumber One()
{
var a = new IntegerNumber();
a.Value = 1;
a.Denominator = a;
a.Numerator = a;
((RationalNumber)a).Init();
return(a);
}
internal static bool TryParse(string s, out IntegerNumber dst)
{
if (long.TryParse(s, out long res))
{
dst = Number.Create(res);
return(true);
}
dst = null;
return(false);
}
internal static bool TryParse(string s, out RationalNumber dst)
{
dst = null;
var pos = s.IndexOf("/", StringComparison.Ordinal);
if (pos == -1)
{
return(false);
}
var numString = s.Substring(0, pos).Replace(" ", "");
var denString = s.Substring(pos + 1).Replace(" ", "");
if (IntegerNumber.TryParse(numString, out var num) && IntegerNumber.TryParse(denString, out var den))
{
dst = new RationalNumber(num, den);
return(true);
}
return(false);
}
public static bool operator ==(Number a, Number b)
{
if (a is null && b is null)
{
return(true);
}
if (a is null || b is null)
{
return(false);
}
(a, b, _) = Functional.MakeEqual(a, b);
if (a.IsReal() && b.IsReal())
{
var aAsReal = (a as RealNumber);
var bAsReal = (b as RealNumber);
if (!aAsReal.IsDefinite() && !bAsReal.IsDefinite())
{
return(aAsReal.State == bAsReal.State);
}
else if (!aAsReal.IsDefinite() || !bAsReal.IsDefinite())
{
return(false);
}
// else both are defined
}
if (a.Type != b.Type)
{
return(false);
}
return(SuperSwitch(
num => IntegerNumber.AreEqual(num[0], num[1]),
num => RationalNumber.AreEqual(num[0], num[1]),
num => RealNumber.AreEqual(num[0], num[1]),
num => ComplexNumber.AreEqual(num[0], num[1]),
a.Type,
a, b
));
}
public static bool AreEqual(IntegerNumber a, IntegerNumber b) => a.Value.Equals(b.Value);
/// <summary>
/// Use Number.Create(IntegerNumber, IntegerNumber) instead
/// </summary>
/// <param name="numerator"></param>
/// <param name="denominator"></param>
internal RationalNumber(IntegerNumber numerator, IntegerNumber denominator)
{
InitClass(numerator, denominator);
}
public static bool AreEqual(IntegerNumber a, IntegerNumber b) => a.Value == b.Value;
/// <summary> /// Creates an instance of RationalNumber of two IntegerNumbers /// </summary> /// <param name="numerator"></param> /// <param name="denominator"></param> /// <returns> /// RationalNumber /// </returns> public static RationalNumber CreateRational(IntegerNumber numerator, IntegerNumber denominator) => Number.Functional.Downcast(new RationalNumber(numerator, denominator)) as RationalNumber;