internal string ToDecimal()
{
if (IsZero())
{
return("0");
}
BigInt ten = new BigInt(0xA);
BigInt numerator = new BigInt();
BigInt quotient = new BigInt();
BigInt remainder = new BigInt();
numerator.CopyFrom(this);
// Each hex digit can account for log(16) = 1.21 decimal digits. Times two hex digits in a byte
// and m_size bytes used in this BigInt, yields the maximum number of characters for the decimal
// representation of the BigInt.
char[] dec = new char[(int)Math.Ceiling(m_size * 2 * 1.21)];
int index = 0;
do
{
Divide(numerator, ten, ref quotient, ref remainder);
dec[index++] = decValues[remainder.IsZero() ? 0 : (int)remainder.m_elements[0]];
numerator.CopyFrom(quotient);
} while (quotient.IsZero() == false);
Array.Reverse(dec, 0, index);
return(new String(dec, 0, index));
}
internal static void Divide(BigInt numerator, BigInt denominator, ref BigInt quotient, ref BigInt remainder)
{
if (numerator < denominator)
{
quotient.Clear();
remainder.CopyFrom(numerator);
}
else if (numerator == denominator)
{
quotient.Clear();
quotient.SetDigit(0, 1);
remainder.Clear();
}
else
{
BigInt a = new BigInt();
a.CopyFrom(numerator);
BigInt num2 = new BigInt();
num2.CopyFrom(denominator);
uint num3 = 0;
while (num2.Size < a.Size)
{
num2.Multiply(0x100);
num3++;
}
if (num2 > a)
{
num2.Divide(0x100);
num3--;
}
int num4 = 0;
int digit = 0;
int b = 0;
BigInt c = new BigInt();
quotient.Clear();
for (int i = 0; i <= num3; i++)
{
num4 = (a.Size == num2.Size) ? a.GetDigit(a.Size - 1) : ((0x100 * a.GetDigit(a.Size - 1)) + a.GetDigit(a.Size - 2));
digit = num2.GetDigit(num2.Size - 1);
b = num4 / digit;
if (b >= 0x100)
{
b = 0xff;
}
Multiply(num2, b, ref c);
while (c > a)
{
b--;
Multiply(num2, b, ref c);
}
quotient.Multiply(0x100);
Add(quotient, (byte)b, ref quotient);
Subtract(a, c, ref a);
num2.Divide(0x100);
}
remainder.CopyFrom(a);
}
}
internal static void Divide(BigInt numerator, BigInt denominator, ref BigInt quotient, ref BigInt remainder)
{
if (numerator < denominator)
{
quotient.Clear();
remainder.CopyFrom(numerator);
}
else if (numerator == denominator)
{
quotient.Clear();
quotient.SetDigit(0, 1);
remainder.Clear();
}
else
{
BigInt a = new BigInt();
a.CopyFrom(numerator);
BigInt num2 = new BigInt();
num2.CopyFrom(denominator);
uint num3 = 0;
while (num2.Size < a.Size)
{
num2.Multiply(0x100);
num3++;
}
if (num2 > a)
{
num2.Divide(0x100);
num3--;
}
int num4 = 0;
int digit = 0;
int b = 0;
BigInt c = new BigInt();
quotient.Clear();
for (int i = 0; i <= num3; i++)
{
num4 = (a.Size == num2.Size) ? a.GetDigit(a.Size - 1) : ((0x100 * a.GetDigit(a.Size - 1)) + a.GetDigit(a.Size - 2));
digit = num2.GetDigit(num2.Size - 1);
b = num4 / digit;
if (b >= 0x100)
{
b = 0xff;
}
Multiply(num2, b, ref c);
while (c > a)
{
b--;
Multiply(num2, b, ref c);
}
quotient.Multiply(0x100);
Add(quotient, (byte) b, ref quotient);
Subtract(a, c, ref a);
num2.Divide(0x100);
}
remainder.CopyFrom(a);
}
}
internal string ToDecimal()
{
if (this.IsZero())
{
return("0");
}
BigInt denominator = new BigInt(10);
BigInt numerator = new BigInt();
BigInt quotient = new BigInt();
BigInt remainder = new BigInt();
numerator.CopyFrom(this);
char[] array = new char[(int)Math.Ceiling((double)((this.m_size * 2) * 1.21))];
int length = 0;
do
{
Divide(numerator, denominator, ref quotient, ref remainder);
array[length++] = decValues[remainder.IsZero() ? 0 : remainder.m_elements[0]];
numerator.CopyFrom(quotient);
}while (!quotient.IsZero());
Array.Reverse(array, 0, length);
return(new string(array, 0, length));
}
//
// Integer division of one BigInt by another.
//
internal static void Divide(BigInt numerator, BigInt denominator, ref BigInt quotient, ref BigInt remainder)
{
// Avoid extra computations in special cases.
if (numerator < denominator)
{
quotient.Clear();
remainder.CopyFrom(numerator);
return;
}
if (numerator == denominator)
{
quotient.Clear(); quotient.SetDigit(0, 1);
remainder.Clear();
return;
}
BigInt dividend = new BigInt();
dividend.CopyFrom(numerator);
BigInt divisor = new BigInt();
divisor.CopyFrom(denominator);
uint zeroCount = 0;
// We pad the divisor with zeros until its size equals that of the dividend.
while (divisor.Size < dividend.Size)
{
divisor.Multiply(m_base);
zeroCount++;
}
if (divisor > dividend)
{
divisor.Divide(m_base);
zeroCount--;
}
// Use school division techniques, make a guess for how many times
// divisor goes into dividend, making adjustment if necessary.
int a = 0;
int b = 0;
int c = 0;
BigInt hold = new BigInt();
quotient.Clear();
for (int index = 0; index <= zeroCount; index++)
{
a = dividend.Size == divisor.Size ? dividend.GetDigit(dividend.Size - 1) :
m_base *dividend.GetDigit(dividend.Size - 1) + dividend.GetDigit(dividend.Size - 2);
b = divisor.GetDigit(divisor.Size - 1);
c = a / b;
if (c >= m_base)
{
c = 0xFF;
}
Multiply(divisor, c, ref hold);
while (hold > dividend)
{
c--;
Multiply(divisor, c, ref hold);
}
quotient.Multiply(m_base);
Add(quotient, (byte)c, ref quotient);
Subtract(dividend, hold, ref dividend);
divisor.Divide(m_base);
}
remainder.CopyFrom(dividend);
}
internal string ToDecimal ()
{
if (IsZero())
return "0";
BigInt ten = new BigInt(0xA);
BigInt numerator = new BigInt();
BigInt quotient = new BigInt();
BigInt remainder = new BigInt();
numerator.CopyFrom(this);
// Each hex digit can account for log(16) = 1.21 decimal digits. Times two hex digits in a byte
// and m_size bytes used in this BigInt, yields the maximum number of characters for the decimal
// representation of the BigInt.
char[] dec = new char[(int)Math.Ceiling(m_size * 2 * 1.21)];
int index = 0;
do
{
Divide(numerator, ten, ref quotient, ref remainder);
dec[index++] = decValues[remainder.IsZero() ? 0 : (int)remainder.m_elements[0]];
numerator.CopyFrom(quotient);
} while (quotient.IsZero() == false);
Array.Reverse(dec, 0, index);
return new String(dec, 0, index);
}
//
// Integer division of one BigInt by another.
//
internal static void Divide (BigInt numerator, BigInt denominator, ref BigInt quotient, ref BigInt remainder) {
// Avoid extra computations in special cases.
if (numerator < denominator) {
quotient.Clear();
remainder.CopyFrom(numerator);
return;
}
if (numerator == denominator) {
quotient.Clear(); quotient.SetDigit(0, 1);
remainder.Clear();
return;
}
BigInt dividend = new BigInt();
dividend.CopyFrom(numerator);
BigInt divisor = new BigInt();
divisor.CopyFrom(denominator);
uint zeroCount = 0;
// We pad the divisor with zeros until its size equals that of the dividend.
while (divisor.Size < dividend.Size) {
divisor.Multiply(m_base);
zeroCount++;
}
if (divisor > dividend) {
divisor.Divide(m_base);
zeroCount--;
}
// Use school division techniques, make a guess for how many times
// divisor goes into dividend, making adjustment if necessary.
int a = 0;
int b = 0;
int c = 0;
BigInt hold = new BigInt();
quotient.Clear();
for (int index = 0; index <= zeroCount; index++) {
a = dividend.Size == divisor.Size ? dividend.GetDigit(dividend.Size - 1) :
m_base * dividend.GetDigit(dividend.Size - 1) + dividend.GetDigit(dividend.Size - 2);
b = divisor.GetDigit(divisor.Size - 1);
c = a / b;
if (c >= m_base)
c = 0xFF;
Multiply(divisor, c, ref hold);
while (hold > dividend) {
c--;
Multiply(divisor, c, ref hold);
}
quotient.Multiply(m_base);
Add(quotient, (byte) c, ref quotient);
Subtract(dividend, hold, ref dividend);
divisor.Divide(m_base);
}
remainder.CopyFrom(dividend);
}
internal string ToDecimal()
{
if (this.IsZero())
{
return "0";
}
BigInt denominator = new BigInt(10);
BigInt numerator = new BigInt();
BigInt quotient = new BigInt();
BigInt remainder = new BigInt();
numerator.CopyFrom(this);
char[] array = new char[(int) Math.Ceiling((double) ((this.m_size * 2) * 1.21))];
int length = 0;
do
{
Divide(numerator, denominator, ref quotient, ref remainder);
array[length++] = decValues[remainder.IsZero() ? 0 : remainder.m_elements[0]];
numerator.CopyFrom(quotient);
}
while (!quotient.IsZero());
Array.Reverse(array, 0, length);
return new string(array, 0, length);
}