public static double?GetRootNewton(Func <double, double> func, Func <double, double> dfunc, double init)
{
double x1, x2 = init;
double dx1 = 0;
double dx2 = 1000000;
int iteration = 100;
while (iteration > 0)
{
iteration--;
x1 = x2;
x2 = x1 - (func(x1) / dfunc(x1));
dx1 = dx2;
dx2 = x2 - x1;
if (Math.Abs(dx2 - dx1) < 0.00005)
{
/* debug */ if (HDebug.IsDebuggerAttached)
/* debug */ {
/* debug */ double error = func(x2);
/* debug */ HDebug.AssertIf(false, Math.Abs(error) < 0.000001);
/* debug */ }
return(x2);
}
if (double.IsInfinity(x2) || double.IsNaN(x2))
{
return(null);
}
}
;
return(x2);
}
protected override bool InvEigImpl(Matrix mat, double?thresEigval, int?numZeroEigval, out Matrix inv, InfoPack extra)
{
NamedLock.FuncO <Matrix, bool> func = delegate(out Matrix linv)
{
Matlab.Clear("HTLib2_Matlab_InvEigImpl");
Matlab.PutMatrix("HTLib2_Matlab_InvEigImpl.A", mat.ToArray());
Matlab.PutValue("HTLib2_Matlab_InvEigImpl.ze", numZeroEigval.GetValueOrDefault(0));
Matlab.PutValue("HTLib2_Matlab_InvEigImpl.th", Math.Abs(thresEigval.GetValueOrDefault(0)));
Matlab.Execute("[HTLib2_Matlab_InvEigImpl.V, HTLib2_Matlab_InvEigImpl.D] = eig(HTLib2_Matlab_InvEigImpl.A);");
Matlab.Execute("HTLib2_Matlab_InvEigImpl.D = diag(HTLib2_Matlab_InvEigImpl.D);");
Matlab.Execute("HTLib2_Matlab_InvEigImpl.sortAbsD = sort(abs(HTLib2_Matlab_InvEigImpl.D));");
Matlab.Execute("HTLib2_Matlab_InvEigImpl.sortAbsD0 = [0; HTLib2_Matlab_InvEigImpl.sortAbsD];"); // add zero to the first list, for the case ze=0 (null)
Matlab.Execute("HTLib2_Matlab_InvEigImpl.ze = HTLib2_Matlab_InvEigImpl.sortAbsD0(HTLib2_Matlab_InvEigImpl.ze+1);");
Matlab.Execute("HTLib2_Matlab_InvEigImpl.th = max(HTLib2_Matlab_InvEigImpl.th, HTLib2_Matlab_InvEigImpl.ze);");
Matlab.Execute("HTLib2_Matlab_InvEigImpl.idx = abs(HTLib2_Matlab_InvEigImpl.D) <= HTLib2_Matlab_InvEigImpl.th;");
Matlab.Execute("HTLib2_Matlab_InvEigImpl.invD = ones(size(HTLib2_Matlab_InvEigImpl.D)) ./ HTLib2_Matlab_InvEigImpl.D;");
Matlab.Execute("HTLib2_Matlab_InvEigImpl.invD(HTLib2_Matlab_InvEigImpl.idx) = 0;");
Matlab.Execute("HTLib2_Matlab_InvEigImpl.invD = diag(HTLib2_Matlab_InvEigImpl.invD);");
Matlab.Execute("HTLib2_Matlab_InvEigImpl.invA = HTLib2_Matlab_InvEigImpl.V * HTLib2_Matlab_InvEigImpl.invD * inv(HTLib2_Matlab_InvEigImpl.V);");
linv = Matlab.GetMatrix("HTLib2_Matlab_InvEigImpl.invA");
if (extra != null)
{
int num_zero_eigvals = Matlab.GetValueInt("sum(HTLib2_Matlab_InvEigImpl.idx)");
HDebug.AssertIf(numZeroEigval != null, numZeroEigval.GetValueOrDefault() <= num_zero_eigvals);
extra["num_zero_eigvals"] = num_zero_eigvals;
extra["eigenvalues"] = Matlab.GetVector("HTLib2_Matlab_InvEigImpl.D");
}
Matlab.Clear("HTLib2_Matlab_InvEigImpl");
return(true);
};
//return NamedLock.LockedCall("bool HTLib2.Matlab.NumericSolver.InvEigImpl(Matrix, double?, int?, out Matrix, InfoPack)", func, out inv);
return(NamedLock.LockedCall(Matlab.NamedLock.GetName("HTLib2_Matlab_InvEigImpl"), func, out inv));
}
public static string Execute(string script, bool ignoreAssert, params string[] replaces)
{
string nscript = CompleteScript(script, replaces);
string msg = matlab.Execute(nscript);
if (ignoreAssert == false)
{
HDebug.AssertIf(!ignoreAssert, msg == "");
if (msg != "")
{
System.Console.Error.WriteLine("Matlab error:\n" + msg);
throw new HException(string.Format("exception at Matlab.Execute(\"{0}\")", script));
}
}
return(msg);
}