/* private static double GetMantissa10(Radix100 r)
{
double val = (double)r;
double logValue = Math.Log(Math.Abs(val), 10);
long exponent = (long)Math.Floor(logValue);
double divisor = Math.Pow(10, exponent);
double mantissa = val / divisor;
return mantissa;
}
*/
private static sbyte GetExponent(Radix100 r)
{
byte expByte = (byte)((r.val & exponentMask) >> exponentShift);
return (sbyte)(expByte - 0x40);
}
private static ulong GetMantissa100(Radix100 r)
{
return (r.val & MantissaMask);
}
public static int Sign(Radix100 r)
{
if (r.Equals(Radix100.Zero)) return 0;
if (r.val > 0x8000000000000000) return -1;
return 1;
}
public static double ToDouble(Radix100 r)
{
int expValue = GetExponent(r);
double val = 0;
double powerValue = Math.Pow(100, expValue);
for (int i = 6; i >= 0; i--)
{
ulong digit = (r.val & digitMasks[i]) >> (i * 8);
if (digit != 0) val = val + digit * powerValue;
powerValue /= 100;
}
return val * Radix100.Sign(r);
}
public static Radix100 Round(Radix100 r, int numOfDecimalDigits)
{
// We need to find the byte that controls rounding. This depends
// on the input - numOfDecimalDigits, and also on the number of
// decimal digits in the most significant Radix100 digit of r.
int numOfDigitsInMsd = GetByte(r.val, 6) > 10 ? 2 : 1;
// This "normalizes" the digit we are looking for, If the most
// significant Radix100 digit of r had only 1 decimal digit, then it
// is like we are looking for the digit numOfDecimalDigits + 1. (This
// accounts for the leading 0 digit in the MSD).
numOfDecimalDigits = numOfDecimalDigits + (2 - numOfDigitsInMsd);
// The digit that controls rounding is in the byte we grab here:
byte bytePos = (byte) (7 - (numOfDecimalDigits + 2) / 2);
byte byteOfConcern = GetByte(r.val, bytePos);
// Now the digit that controls rounding is either in the 10s position
// or 1s position of the byte we just grabbed.
bool onesPosition = (numOfDecimalDigits % 2) != 0;
byte digitOfConcern =(byte) (onesPosition ? (byteOfConcern % 10) : (byteOfConcern / 10));
Radix100 roundUpVal = Radix100.Zero;
if (digitOfConcern >= 5)
{
// Create a Radix100 that can be added to the truncted value
// we create below to get the rounded value.
ulong newVal = 0;
SetByte(ref newVal, 7, GetByte(r.val, 7));
// If our rounding digit was in onesPosition, then we need to put a
// 1 in the tens position. Else put a 1 in the ones position of next higher byte.
if (onesPosition) SetByte(ref newVal, bytePos, 10);
else SetByte(ref newVal, bytePos + 1, 1);
roundUpVal = new Radix100(newVal);
}
// the last decimal digit is in the byte we are going to grab:
bytePos = (byte)(7 - (numOfDecimalDigits + 1) / 2);
byteOfConcern = GetByte(r.val, bytePos);
onesPosition = (numOfDecimalDigits % 2) == 0;
digitOfConcern = (byte)(onesPosition ? (byteOfConcern % 10) : (byteOfConcern / 10));
ulong truncatedValue = 0;
for (int i = 7; i > bytePos; i--)
{
SetByte(ref truncatedValue, i, GetByte(r.val, i));
}
if (onesPosition) SetByte(ref truncatedValue, bytePos, GetByte(r.val, bytePos));
else SetByte(ref truncatedValue, bytePos, (byte)(digitOfConcern*10));
Radix100 result = new Radix100(truncatedValue);
return result + roundUpVal;
}
public static Radix100 Negate(Radix100 r)
{
ulong val = r.val ^ 0x8000000000000000;
return new Radix100(val);
}
public static Radix100 Log(Radix100 r)
{
return (Radix100) Math.Log(r);
}
public static Radix100 FromDouble(double d)
{
// Let's retrieve the mantissa, exponent and sign in terms of Radix 100.
int sign = Math.Sign(d);
sbyte exponent = (sbyte) Math.Floor(Math.Log(Math.Abs(d), 100));
double mantissa = Math.Abs(d / Math.Pow(100, exponent));
ulong result = 0;
// set exponent properly
byte biasedExponent = BiasedExponentValue(exponent);
SetByte(ref result, 7, biasedExponent);
byte digit;
// loop through digits
for (int i = 6; i >= 0 && mantissa > 0; i--)
{
digit = (byte)Math.Truncate(mantissa);
SetByte(ref result, i, digit);
mantissa = (mantissa * 100) - (digit * 100);
}
// Now check the remaining mantissa. If it is >= 50 then we should round up
// the last digit.
bool roundUp = (mantissa >= 50.0);
Radix100 roundUpValue = new Radix100(0);
if (roundUp)
{
// Create a Radix100 with same exponent with a 1 in the least significant
// digit of the mantissa. This can then be added to our result.
ulong r = 0;
SetByte(ref r, 7, biasedExponent);
SetByte(ref r, 0, 1);
roundUpValue = new Radix100(r);
}
Radix100 retVal = new Radix100(result);
if (roundUp) retVal = retVal + roundUpValue;
if (sign < 0) retVal = Radix100.Negate(retVal);
return retVal;
}
public static Radix100 Exp(Radix100 r)
{
double d = Math.Exp(r);
Radix100 result = (Radix100)d;
return result;
}