/// <summary>
/// Finds the zeros of a function using a brute force approach.
/// </summary>
/// <param name="_input">Input string.</param>
public static void NumericalZeros(Input _input)
{
int tol = 100;
//Throws an error if input is not correct
if (_input.Args.Length == 0)
{
throw new Errors.MissingFunctionException();
}
//Evaluates the function
FunctionBaseCore FB = CodeBaseCore.CreateFunction(_input.Args[0]);
NFunctionalEqCore FE = new NFunctionalEqCore(FB, FunctionBounds.CreateBounds(_input.Args), false);
//Gets tolerance level if defined
if (_input.Modifiers.Length > 0)
{
foreach (string mods in _input.Modifiers)
{
if (mods.StartsWith("-t:"))
{
tol = Convert.ToInt32(mods.Remove(0, 3));
}
}
}
//Continues process until tolerance is reached
for (int i = 1; i < tol; i++)
{
//Numerically evaluates the function across the boundary conditions
List<List<float>> curve = FE.evalFlat();
List<float> min = curve[0];
//Finds the point which is closest to zero
foreach (List<float> x in curve.Skip(1))
{
min = CompareZero(x, min);
}
//To be completed...
}
}
//Performs numerical integration
private static float NIntCore(FunctionBounds Bounds, FunctionBaseCore FB)
{
//gets a new N space evaluation
NFunctionalEqCore FE = new NFunctionalEqCore(FB, Bounds, true);
float dv = FE.bounds.Aggregate(1.0f, (total, next) => total * next.Step);
float val = FE.evalFlat().Sum(x => x[x.Count -1] * dv);
//foreach(List<float> item in FE.evalFlat().)
//{
// //for (int i = 0; i < FE.bounds.Length; i++)
// //{
// // val += item[item.Count - 1] * (float)FE.bounds[i].Step;
// //}
// val += dv*item[item.Count-1];
//}
return val;
}