public static BigInt Mod(BigInt a1, BigInt b) // деление по модулю
{
var a = new BigInt('+', new List <int>(a1.number));
a.DeleteNuls(); b.DeleteNuls();
if (a < b)
{
return(a);
}
else if (a == b)
{
return(Zero);
}
else
{
while (a > b)
{
var bSDopisNuls = new BigInt(b.sign, new List <int>(b.number));
BigInt newraz;
var razn = new BigInt((a.number.Count - b.number.Count).ToString());//1
bSDopisNuls *= new BigInt("10").Pow(razn);
if (bSDopisNuls > a)
{
newraz = razn - One;//2
}
else
{
newraz = razn;
}
var rabRazr = new BigInt("10").Pow(newraz);//3
var newrazRes = b * rabRazr;
for (var i = 1; b *rabRazr.MultOnDigit(i) <= a; ++i)
{
var r = rabRazr.MultOnDigit(i);
newrazRes = r;
}//4
if (a >= newrazRes * b)
{
if (a - newrazRes * b < b)
{
a -= newrazRes * b;
break;
}
}
else
{
break;
}
a -= newrazRes * b;
}
a.DeleteNuls();
return(a);
}
}
private static int CompareWithoutSign(BigInt v1, BigInt v2)
{
v1.DeleteNuls(); v2.DeleteNuls();
if (v1.number.Count > v2.number.Count)
{
return(1);
}
else if (v1.number.Count < v2.number.Count)
{
return(-1);
}
else
{
for (var i = 0; i <= v1.number.Count - 1; i++)
{
if (v1.number[i] > v2.number[i])
{
return(1);
}
else if (v1.number[i] < v2.number[i])
{
return(-1);
}
}
return(0);
}
}
public static BigInt operator *(BigInt V1, BigInt V2) // v1 * v2
{
V1.DeleteNuls(); V2.DeleteNuls();
var result = new BigInt();
result.EqualizeTheDigits(V1.number.Count + V2.number.Count);
V1.number.Reverse(); V2.number.Reverse();
for (var i = 0; i < V1.number.Count; ++i)
{
for (int j = 0, carry = 0; j < V2.number.Count || carry > 0; ++j)
{
var cur = result.number[i + j] + V1.number[i] * (j < V2.number.Count ? V2.number[j] : 0) + carry;
result.number[i + j] = cur % 10;
carry = cur / 10;
}
}
while (result.number.Count > 1 && result.number.Last() == 0)
{
result.number.RemoveAt(result.number.Count - 1);
}
result.sign = V1.sign == V2.sign ? '+' : '-';
V1.number.Reverse(); V2.number.Reverse();
result.number.Reverse();
result.DeleteNuls();
return(result);
}
public BigInt MultOnDigit(int n) // умножение на цифру 0, ...,9
{
var sign = n;
n = Math.Abs(n);
var result = new BigInt('+', new List <int>());
var t = 0; int r;
for (var i = this.number.Count - 1; i >= 0; i--)
{
r = this.number[i] * n + t;
{
t = r / 10;
r %= 10;
}
result.SetDigit(i, r);
}
if (t != 0)
{
result.number.Insert(0, t);
}
result.DeleteNuls();
if ((this.sign == '+' && sign > 0) || (this.sign == '-' && sign < 0))
{
return(result);
}
else
{
return(-result);
}
}
private static BigInt Reduce(BigInt a, BigInt b)//вычитает из большего меньшее два бигинта
{
if (a == b)
{
return(Zero);
}
if (b.sign == '-')
{
return(Addition(a, b));
}
a.DeleteNuls(); b.DeleteNuls();
b.EqualizeTheDigits(a.number.Count);
var res = new BigInt();
var num1 = new List <int>(a.number); var num2 = new List <int>(b.number);
for (var i = a.number.Count - 1; i >= 0; i--)
{
var r = num1[i] - num2[i];
if (r < 0)
{
num1[i - 1]--;
r = 10 + r;
}
res.SetDigit(i, r);
}
res.DeleteNuls();
return(res);
}
public BigInt Pow(BigInt a)
{
this.DeleteNuls(); a.DeleteNuls();
var res = new BigInt(sign, new List <int>(number));
var a1 = new BigInt(a.sign, new List <int>(a.number));
if (a1 == Zero)
{
return(One);
}
for (; a1 > One; a1 -= One)
{
res *= this;
}
return(res);
}
private static BigInt Addition(BigInt a, BigInt b)//суммирует два бигинта
{
var res = new BigInt();
var maxLen = Math.Max(a.number.Count, b.number.Count) - 1;
var enlarge = 0;
var num1 = a.number; var num2 = b.number; var resNum = res.number;
if (num1.Count < num2.Count)
{
a.EqualizeTheDigits(b.number.Count);
res.EqualizeTheDigits(b.number.Count);
}
else
{
b.EqualizeTheDigits(a.number.Count);
res.EqualizeTheDigits(a.number.Count);
}
for (var i = maxLen; i >= 0; i--)
{
var s = num1[i] + num2[i] + enlarge;
if (s >= 10)
{
enlarge = 1;
resNum[i] = s - 10;
}
else
{
enlarge = 0;
resNum[i] = s;
}
}
if (enlarge == 1)
{
resNum.Insert(0, 1);
}
res.DeleteNuls();
return(res);
}
public static BigInt Div(BigInt a1, BigInt b) // деление нацело
{
var a = new BigInt('+', new List <int>(a1.number));
a.DeleteNuls(); b.DeleteNuls();
if (a < b)
{
return(Zero);
}
else if (a == b)
{
return(One);
}
else
{
var res = new List <BigInt>();
while (a > b)
{
var r = new BigInt(b.sign, new List <int>(b.number));
var bSDopisNuls = new BigInt(b.sign, new List <int>(b.number));
var newrazRes = Zero;
var newraz = 0;
var razn = a.number.Count - b.number.Count;//1
bSDopisNuls = bSDopisNuls.MultOn10(razn);
if (bSDopisNuls > a)
{
newraz = razn - 1;//2
}
else
{
newraz = razn;
}
var rabRazr = new BigInt('+' + (Math.Pow(10, newraz)).ToString());//3
for (var i = 1; b *rabRazr.MultOnDigit(i) < a; i++)
{
r = rabRazr.MultOnDigit(i);
newrazRes = r;
}//4
if (a > newrazRes * b)
{
if (a - newrazRes * b < b)
{
res.Add(r);
break;
}
}
else
{
break;
}
a -= newrazRes * b;
res.Add(r);
}
var result = Zero;
foreach (var e in res)
{
result += e;
}
result.sign = a.sign == b.sign ? '+' : '-';
return(result);
}
}