public Rational AddRational(Rational first)
{
Rational newRational;
newRational._numerator = (first._numerator*this._denominator) + (this._numerator*first._denominator);
newRational._denominator = first._denominator*this._denominator;
return newRational;
}
public Rational SubtractRational(Rational first)
{
Rational newRational;
newRational._numerator = (first._numerator * this._denominator) - (this._numerator * first._denominator);
newRational._denominator = first._denominator * this._denominator;
return newRational;
}
public Rational DevideRational(Rational first)
{
Rational newRational;
newRational._numerator = (first.ReduceRational()._numerator * this.ReduceRational()._denominator);
newRational._denominator = first.ReduceRational()._denominator * this.ReduceRational()._numerator;
return newRational;
}
static void Main(string[] args)
{
Rational first = new Rational();
Rational second = new Rational();
first.Numerator = 2;
first.Denominator = 4;
second.Numerator = 4;
second.Denominator = 8;
Console.WriteLine("the numbers are:");
Console.WriteLine(first.ToString());
Console.WriteLine(second.ToString());
Console.WriteLine();
Console.WriteLine("the decimal value is:");
Console.WriteLine(first.Decimalvalue);
Console.WriteLine(second.Decimalvalue);
Console.WriteLine();
Console.WriteLine("the reduced rationals are:");
Console.WriteLine(first.ReduceRational().ToString());
Console.WriteLine(second.ReduceRational().ToString());
Console.WriteLine();
Console.WriteLine("the added rationals are:");
Console.WriteLine(first.AddRational(second).ToString());
Console.WriteLine();
Console.WriteLine("the Multiply of the rationals are:");
Console.WriteLine(first.MulRational(second).ToString());
Console.WriteLine();
Console.WriteLine("are the two rational equal");
Console.WriteLine(first.Equals(second));
Console.WriteLine();
Console.WriteLine("addition");
Rational addition = first + second;
Console.WriteLine(addition.ToString());
Console.WriteLine();
Console.WriteLine("subtruct");
Rational subtruct = first - second;
Console.WriteLine(subtruct.ToString());
Console.WriteLine();
Console.WriteLine("devide");
Rational devide = first / second;
Console.WriteLine(devide.ToString());
Console.WriteLine();
Console.WriteLine("multiply");
Rational multiply = first * second;
Console.WriteLine(multiply.ToString());
Console.ReadLine();
}
public static fp_t Sum(this IEnumerable <fp_t> data)
{
fp_t sum = 0;
foreach (fp_t t in data)
{
sum += t;
}
return(sum);
}
/// <inheritdoc cref="ParseDecimal(string,decimal)"/>
public static bool TryParseDecimal(string value, NumberStyles style, IFormatProvider provider, out Rational result, decimal tolerance = 0)
{
return(TryParseDecimal(value, style, NumberFormatInfo.GetInstance(provider), out result, tolerance));
}
public Rational Mul(Rational other)
{
return new Rational(_numerator * other._numerator, _denumerator * other._denumerator);
}
public string FormatRational(Rational r)
{
return(FormatCents(r.ToCents()));
}
public bool Equals(Rational other)
{
return _denominator == other._denominator && _numerator == other._numerator;
}
private static void InnerCustomOperation(Func <roll_t[], roll_t> f, List <roll_t> before, DiceRoll[] dice, fp_t existing_p, DiceRoll d)
{
DiceRoll r = dice[before.Count];
foreach (var m in r.rolls)
{
var a = before.ToList();
a.Add(m.Key);
if (before.Count + 1 == dice.Length)
{
// innermost dice, modify d
var n = f(a.ToArray());
if (!d.rolls.ContainsKey(n))
{
d.rolls[n] = 0;
}
d.rolls[n] += existing_p * m.Value;
}
else
{
// we need to go deeper!
InnerCustomOperation(f, a, dice, existing_p * m.Value, d);
}
}
}
private static bool TryParse(string value, NumberStyles style, NumberFormatInfo info, out Rational result)
{
result = default;
try
{
var match = FractionFormat.Match(value);
if (match.Success)
{
var numerator = BigInteger.Parse(match.Groups["Numerator"].Value, style, info);
var denominator = BigInteger.Parse(match.Groups["Denominator"].Value, style, info);
result = new Rational(numerator, denominator);
return(true);
}
match = WholeFractionalFormat.Match(value);
if (match.Success)
{
var whole = BigInteger.Parse(match.Groups["Whole"].Value, style, info);
var numerator = BigInteger.Parse(match.Groups["Numerator"].Value, style, info);
var denominator = BigInteger.Parse(match.Groups["Denominator"].Value, style, info);
result = new Rational(whole) + new Rational(numerator, denominator);
return(true);
}
match = NaNFormat.Match(value);
if (match.Success)
{
result = NaN;
return(true);
}
}
catch (DivideByZeroException)
{
return(false);
}
if (BigInteger.TryParse(value, style, info, out var justWhole))
{
result = new Rational(justWhole);
return(true);
}
return(false);
}
public static bool TryParse(string value, NumberStyles style, IFormatProvider provider, out Rational result)
{
return(TryParse(value, style, NumberFormatInfo.GetInstance(provider), out result));
}
public static bool TryParse(string value, out Rational result)
{
return(TryParse(value, NumberStyles.Float, NumberFormatInfo.CurrentInfo, out result));
}
public Rational Add(Rational other)
{
return new Rational(_numerator * other._denumerator + other._numerator * _denumerator, _denumerator * other._denumerator);
}
public Rational Mul(Rational rat)
{
int newNumerator = _numerator * rat.Numerator;
int newDenominator = _denominator * rat.Denominator;
return new Rational(newNumerator, newDenominator);
}
public static bool TryParseDecimal(string value, out Rational result, decimal tolerance = 0)
{
return(TryParseDecimal(value, NumberStyles.Float, NumberFormatInfo.CurrentInfo, out result, tolerance));
}
public static Rational MakeNarrow(int narrowIndex, int basePrimeIndex)
{
Rational r = Rational.Prime(narrowIndex); // just prime: 2/1, 3/1, 5/1, 7/1, ..
return(MakeNarrow(r, basePrimeIndex));
}
public string FormatNarrowPowers(Rational r)
{
return(r.FormatNarrowPowers(_narrows));
}
public Pow[] GetNarrowPowers(Rational r)
{
return(r.GetNarrowPowers(_narrows));
}
public bool IsInRange(Rational r)
{
return(_matrix != null && _matrix.FindCoordinates(r) != null);
}
public Rational Add(Rational rat)
{
int newNumerator = (_numerator * rat.Denominator) + (_denominator * rat.Numerator);
int newDenominator = _denominator * rat.Denominator;
return new Rational(newNumerator, newDenominator);
}
private static bool TryParseDecimal(string value, NumberStyles style, NumberFormatInfo info, out Rational result, decimal tolerance = 0)
{
if (!decimal.TryParse(value, style, info, out var d))
{
result = default(Rational);
return(false);
}
try
{
result = Approximate(d, tolerance);
return(true);
}
catch (Exception)
{
result = default(Rational);
return(false);
}
}