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/// <summary>
/// Root of variable degree
/// </summary>
/// <param name="_NDegree">root degree</param>
/// <param name="_N">value, root of which to be taken</param>
/// <returns>result of variable degree</returns>
public static CNumber Root(CNumber _NDegree, CNumber _N)
{
CCalculator.ASSERT((_NDegree.dValue != 0.0d)
, "(y)_#(x): `y` - Root degree can't be NULL.", "CMath.Root binary");
CCalculator.ASSERT((_N.dValue >= 0.0d) || (_NDegree.dValue % 2 != 0)
, "(y)_#(x): `x` - Must be positive and/or `y` is even."
, "CMath.Root binary");
m_res = new CNumber("0", _N);
m_res.Value = _N.Value;
double X = Math.Abs(_N.dValue);
try
{
m_res.Value = Math.Pow(2, Math.Log(X, 2) / _NDegree.dValue);
// changing sign of result if root argument was negative and
// root degree was uneven
if (_N.dValue < 0)
{
m_res.Value = -m_res.dValue;
}
}
catch (OverflowException)
{
CCalculator.ASSERT(false, "", "");
}
return(m_res);
}
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public static CNumber Xor(CNumber _N1, CNumber _N2)
{
CCalculator.ASSERT(_N1.IsInteger && _N2.IsInteger
, "\"XOR\" operation need integer.", "CMath.Xor");
m_res = new CNumber("0", _N1);
m_res.Value = (long)_N1.Value ^ (long)_N2.Value;
return(m_res);
}
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public static CNumber Not(CNumber _num)
{
CCalculator.ASSERT(_num.IsInteger
, "\"NOT\" operation need integer.", "CMath.Not");
m_res = new CNumber("0", _num);
m_res.Value = ~((long)_num.Value);
return(m_res);
}
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/// <summary>
/// Square root (degree of 2)</summary>
/// <param name="_N">value, root of which to be evaluated</param>
/// <returns>result of root of degree 2</returns>
public static CNumber Root(CNumber _N)
{
CCalculator.ASSERT(_N.dValue > 0.0d
, "#(x): x - Must be positive.", "CMath.Root unary");
m_res = new CNumber("0", _N);
m_res.Value = Math.Sqrt(_N.dValue);
return(m_res);
}
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/// <summary>
/// Regular devision
/// </summary>
/// <param name="_NDividend"></param>
/// <param name="_NDivisor"></param>
/// <returns></returns>
public static CNumber Div(CNumber _NDividend, CNumber _NDivisor)
{
m_res = new CNumber("0", _NDividend);
CCalculator.ASSERT(_NDivisor.dValue != 0.0d
, "Divide by zero.", "CMath.Div");
m_res.Value = _NDividend.dValue / _NDivisor.dValue;
return(m_res);
}
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/// <summary>Binary Logarithm of variable base</summary>
/// <param name="_base">base</param>
/// <param name="_num">argument</param>
/// <returns>Returns the _sBase logarithm of a specified number</returns>
public static CNumber Log(CNumber _base, CNumber _num)
{
CCalculator.ASSERT(_base.dValue >= 0
, "(y)Log(x): y - POSITIVE expected."
, "CMath.Log");
m_res = new CNumber("0", _num);
m_res.Value = Math.Log(_num.dValue, _base.dValue);
return(m_res);
}
/// <summary>Binary. Find the grat common devisor of two
/// integer numbers</summary>
static public CNumber GCD(CNumber _n1, CNumber _n2)
{
CCalculator.ASSERT(_n1.IsInteger && _n2.IsInteger
, "(x)Gcd(y): x, y - Integers expected.", "CMath.GCD");
m_res = new CNumber("0", _n1);
m_res.Value = _gcd(_n1.lValue, _n2.lValue);
return(m_res);
}
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public static CNumber ShiftRight(CNumber _N, CNumber _BitNum)
{
CCalculator.ASSERT(_N.IsInteger && _BitNum.IsInteger
, "\">>\" operation need integer.", "CMath.ShiftRight");
m_res = new CNumber("0", _N);
try
{
int bitNum = Convert.ToInt32((long)_BitNum.Value);
m_res.Value = (long)_N.Value >> bitNum;
}
catch (OverflowException)
{
CCalculator.ASSERT(false, "\"x >> Y\" - Y overflow.", "CMath.ShiftRight");
}
return(m_res);
}
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public static CNumber Factorial(CNumber _num)
{
CCalculator.ASSERT(_num.IsInteger
, "\"!x\" operation need integer.", "CMath.Factorial");
m_res = new CNumber("0", _num);
if ((long)_num.Value == 0)
{
m_res.Value = 1L;
return(m_res);
}
try
{
if (_num.dValue <= 20)
{
long num = (long)_num.Value;
long fact = num;
while (num > 1)
{
fact *= --num;
}
m_res.Value = fact;
}
else
{
double num = _num.dValue;
double fact = num;
while (num > 1)
{
fact *= --num;
}
m_res.Value = fact;
}
}
catch (OverflowException)
{
CCalculator.ASSERT(false
, "Result is out of range.", "CMath.Factorial");
}
return(m_res);
}
/// <summary>
/// Convert digital substance of the CNumber value to its string equivalent,
/// based on culture format provider, Count-System (CS) and precision.
/// </summary>
/// <returns></returns>
public override string ToString()
{
if (m_prec != T_PREC.DEFAULT && m_prec != T_PREC.ROUNDTRIP)
{
switch (m_prec)
{
case T_PREC._0:
m_fp.NumberDecimalDigits = 0;
break;
case T_PREC._1:
m_fp.NumberDecimalDigits = 1;
break;
case T_PREC._2:
m_fp.NumberDecimalDigits = 2;
break;
case T_PREC._3:
m_fp.NumberDecimalDigits = 3;
break;
case T_PREC._5:
m_fp.NumberDecimalDigits = 5;
break;
case T_PREC._8:
m_fp.NumberDecimalDigits = 8;
break;
case T_PREC._13:
m_fp.NumberDecimalDigits = 13;
break;
}
}
string str = "";
// if it decimal there is the sence to make precision fitting
if (m_cs == T_CS.DEC)
{
// convert to default representation
if (m_prec == T_PREC.DEFAULT)
{
str = (((m_value is double)?
(double)m_value
:(long)m_value)).ToString();
}
// this precision gives recalculable result
else if (m_prec == T_PREC.ROUNDTRIP)
{
str = (((m_value is double)?
(double)m_value
:(long)m_value)).ToString("R");
}
// other precision
else
{
str = (((m_value is double)?
(double)m_value
:(long)m_value)).ToString("N", m_fp);
}
}
// in case of other Count System the result will be `long` converted,
// in case of double-type-banking that operation may lead to Overflow.
else
{
try
{
switch (m_cs)
{
case T_CS.HEX:
str = Convert.ToString(Convert.ToInt64(m_value), 16);
break;
case T_CS.OCT:
str = Convert.ToString(Convert.ToInt64(m_value), 8);
break;
case T_CS.BIN:
str = Convert.ToString(Convert.ToInt64(m_value), 2);
break;
}
}
catch (System.OverflowException)
{
CCalculator.ASSERT(false
, "Result exceed 64bits in \"" + m_cs.ToString()
+ "\" count system.", "CNumber.ToString");
}
if (m_cs == T_CS.HEX)
{
str = "0x" + GroupBy(8, str);
}
else if (m_cs == T_CS.OCT)
{
str = GroupBy(3, str) + ".oct";
}
else if (m_cs == T_CS.BIN)
{
str = GroupBy(4, str) + ".bin";
}
}
return(str);
}
