private static void TestStore(Double value)
{
Double ai = value;
BigNum ab = ai; // implicit conversion
String bi = ai.ToString();
String bn = ab.ToString();
Console.WriteLine("{0,18} : {1,18} -> {2}", ai, bn, bi == bn ? "Pass" : "Fail");
}
public static BigNum Sin(BigNum theta)
{
BigNumFactory f = theta.Factory;
// calculate sine using the taylor series, the infinite sum of x^r/r! but to n iterations
BigNum retVal = f.Zero;
// first, reduce this to between 0 and 2Pi
if (theta > f.TwoPi || theta < f.Zero)
{
theta = theta % f.TwoPi;
}
Boolean subtract = false;
// using bignums for sine computation is too heavy. It's faster (and just as accurate) to use Doubles
#if DoubleTrig
Double thetaDbl = Double.Parse(theta.ToString(), Cult.InvariantCulture);
for (Int32 r = 0; r < 20; r++) // 20 iterations is enough, any more just yields inaccurate less-significant digits
{
Double xPowerR = Math.Pow(thetaDbl, 2 * r + 1);
Double factori = BigMath.Factorial((double)(2 * r + 1));
Double element = xPowerR / factori;
Double addThis = subtract ? -element : element;
BigNum addThisBig = f.Create(addThis);
retVal += addThisBig;
subtract = !subtract;
}
#else
for (Int32 r = 0; r < _iterations; r++)
{
BigNum xPowerR = theta.Power(2 * r + 1);
BigNum factori = Factorial(2 * r + 1);
BigNum element = xPowerR / factori;
retVal += subtract ? -element : element;
subtract = !subtract;
}
#endif
// TODO: This calculation generates useless and inaccurate trailing digits that must be truncated
// so truncate them, when I figure out how many digits can be removed
retVal.Truncate(10);
return(retVal);
}
private static void EvaluateExpression(String expression)
{
try {
Expression expr = new Expression(expression, Factory);
BigNum ret = expr.Evaluate(_symbols);
Console.WriteLine("Result: " + ret.ToString());
} catch (Exception ex) {
PrintException(ex);
}
}
private static Boolean PromptUser()
{
Console.Write((++_count).ToString());
Console.Write(">");
String s = Console.ReadLine();
if (s == "q")
{
return(false);
}
if (s.StartsWith("add ", StringComparison.OrdinalIgnoreCase))
{
String name = s.Substring(4, s.IndexOf('=') - 5).Trim();
String expr = s.Substring(s.IndexOf('=') + 1).Trim();
try {
Expression xp = new Expression(expr, Factory);
BigNum ret = xp.Evaluate(_symbols);
if (_symbols.ContainsKey(name))
{
_symbols[name] = ret;
}
else
{
_symbols.Add(name, ret);
}
Console.WriteLine("Added: " + name + " = " + ret.ToString());
} catch (Exception ex) {
PrintException(ex);
}
}
else if (s.StartsWith("rem ", StringComparison.OrdinalIgnoreCase))
{
String name = s.Substring(4);
_symbols.Remove(name);
Console.WriteLine("Removed: " + name);
}
else if (String.Equals(s, "help", StringComparison.OrdinalIgnoreCase))
{
PrintHelp();
}
else if (String.Equals(s, "test", StringComparison.OrdinalIgnoreCase))
{
// BigNumTests.Test();
}
else
{
Int32 startIndex;
Function func = IsFunction(s, out startIndex);
if (func != Function.None)
{
EvaluateFunction(func, s.Substring(startIndex));
}
else
{
EvaluateExpression(s);
}
}
return(true);
}