public static CatPrecise Divide(CatPrecise a, CatPrecise b)
{
var bia = BigInteger.Parse(a.ToString().Replace(".", "")) * BigInteger.Parse("100000000000000000000");
var bib = BigInteger.Parse(b.ToString().Replace(".", ""));
var aord = a.Order;
var bord = b.Order;
var dia = bia / bib;
var pra = new CatPrecise(dia.ToString())
{
Order = Math.Max(0, aord - bord + (aord == bord ? 1 : 0))
};
return(pra);
}
public static (List <char> a, List <char> b) CreateTwoPeriods(CatPrecise a, CatPrecise b)
{
var aPeriod = new List <char>();
var bPeriod = new List <char>();
if (a.HavePeriod)
{
if (b.HavePeriod)
{
for (var ai = 0; ai < b.Period.Count; ai++)
{
aPeriod.AddRange(a.Period);
}
for (var bi = 0; bi < a.Period.Count; bi++)
{
bPeriod.AddRange(b.Period);
}
}
else
{
aPeriod = a.Period;
for (var bi = 0; bi < a.Period.Count; bi++)
{
bPeriod.Add('0');
}
}
}
else
{
bPeriod = b.Period;
for (var bi = 0; bi < b.Period.Count; bi++)
{
aPeriod.Add('0');
}
}
aPeriod.Reverse();
bPeriod.Reverse();
return(aPeriod, bPeriod);
}
public static CatPrecise Sum(CatPrecise a, CatPrecise b)
{
while (a.Order < b.Order)
{
a.Digits.Insert(0, '0');
a.Order++;
}
while (a.Order > b.Order)
{
b.Digits.Insert(0, '0');
b.Order++;
}
while (a.Digits.Count < b.Digits.Count)
{
a.Digits.Add('0');
}
while (a.Digits.Count > b.Digits.Count)
{
b.Digits.Add('0');
}
int asign = a.LessThanZero ? -1 : 1;
int bsign = b.LessThanZero ? -1 : 1;
var(lastOverflowSign, lastOverflow, result) = SumCharLists(asign, a.Digits, bsign, b.Digits);
int ord = a.Order;
if (lastOverflowSign < 0)
{
List <char> overflownNumber = new List <char>();
overflownNumber.Add(lastOverflow);
for (var j = 0; j < result.Count - 1; j++)
{
overflownNumber.Add('0');
}
var overflowSum = SumCharLists(-1, overflownNumber, 1, result);
result = overflowSum.result;
}
else
{
if (lastOverflow != '0')
{
result.Insert(0, lastOverflow);
ord++;
}
}
List <char> period = new List <char>();
if (a.HavePeriod || b.HavePeriod)
{
var(aPeriodList, bPeriodList) = CreateTwoPeriods(a, b);
var periodSum = SumCharLists(asign, aPeriodList, bsign, bPeriodList);
List <char> overflownNumber = new List <char>();
overflownNumber.Add(periodSum.overflow);
for (var j = 0; j < result.Count - 1; j++)
{
overflownNumber.Add('0');
}
period = periodSum.result;
var overflowSum = SumCharLists(periodSum.sign, overflownNumber, 1, result);
lastOverflowSign = overflowSum.sign;
result = overflowSum.result;
}
a.Validate();
b.Validate();
var resultPrecise = new CatPrecise(0)
{
Digits = result, LessThanZero = lastOverflowSign < 0, Order = ord
};
if (period.Count > 0)
{
resultPrecise.Period = period;
}
resultPrecise.Validate();
return(resultPrecise);
}
public static CatPrecise Multiply(CatPrecise a, CatPrecise b)
{
var dIndex = a.Digits.Count - a.Order + b.Digits.Count - b.Order + (a.HavePeriod ? PeriodLength : 0) + (b.HavePeriod ? PeriodLength : 0);
int aSign = a.LessThanZero ? -1 : 1;
int bSign = b.LessThanZero ? -1 : 1;
var sign = aSign * bSign;
var resInts = new int[a.Digits.Count + (a.HavePeriod ? PeriodLength : 0) + b.Digits.Count + 1 + (b.HavePeriod ? PeriodLength : 0)];
for (var i = 0; i < a.Digits.Count + (a.HavePeriod ? PeriodLength : 0); i++)
{
for (var j = 0; j < b.Digits.Count + (b.HavePeriod ? PeriodLength : 0); j++)
{
var(overflow, res) = DigitIntMult(a[a.Digits.Count - 1 - i + (a.HavePeriod ? PeriodLength : 0)], b[b.Digits.Count - 1 - j + (b.HavePeriod ? PeriodLength : 0)]);
resInts[i + j] += res;
resInts[i + j + 1] += overflow;
}
}
for (int i = 0; i < resInts.Length; i++)
{
var resInt = resInts[i];
var res = resInt % 10;
var overflow = resInt / 10;
resInts[i] = res;
if (overflow > 0)
{
resInts[i + 1] += overflow;
}
}
var result = new List <char>();
for (int i = resInts.Length - 1; i >= 0; i--)
{
var dig = GetDigit(resInts[i]);
result.Add(dig);
}
var cutLength = result.Count;
if (a.HavePeriod)
{
cutLength -= PeriodLength / 2;
}
if (b.HavePeriod)
{
cutLength -= PeriodLength / 2;
}
var oldLength = result.Count;
result = result.GetRange(0, cutLength);
var resultPrecise = new CatPrecise(0)
{
Digits = result, LessThanZero = sign < 0, Order = oldLength - dIndex
};
resultPrecise.Validate();
return(resultPrecise);
}