public int sn = 0; // TODO: make sn an enumeration
private void suggest()
{
double[] x = new double[es.number()];
switch (sn)
{
case 0:
if (list.Count >= es.number() + 1)
{
double[,] Mm = new double[es.number(), es.number()];
for (int j = 0; j < es.number(); j++)
{
for (int k = 0; k < es.number(); k++)
{
Mm[j, k] = list[k].getF(j) - list[es.number()].getF(j);
}
}
double[] mF0 = new double[es.number()];
for (int j = 0; j < es.number(); j++)
{
mF0[j] = -list[es.number()].getF(j);
}
double[] u = Linalg.Solve(Mm, mF0);
double[,] Vm = new double[es.number(), es.number()];
for (int j = 0; j < es.number(); j++)
{
for (int k = 0; k < es.number(); k++)
{
Vm[j, k] = list[k].getIndex(j) - list[es.number()].getIndex(j);
}
}
double[] delta = Linalg.Product(Vm, u);
for (int j = 0; j < es.number(); j++)
{
x[j] = list[es.number()].getIndex(j) + delta[j];
}
}
break;
case 1:
for (int j = 0; j < es.number(); j++)
{
x[j] = list[0].getIndex(j) * (rand.NextDouble() - 0.5) * 4.0;
}
break;
case 2:
for (int j = 0; j < es.number(); j++)
{
x[j] = (rand.NextDouble() - 0.5) * 4.0;
}
break;
case 3:
for (int j = 0; j < es.number(); j++)
{
double min, max;
min = max = list[0].getIndex(j);
for (int k = 0; k < list.Count; k++)
{
double v = list[k].getIndex(j);
if (v < min)
{
min = v;
}
if (v > max)
{
max = v;
}
}
if (min == max)
{
if (min > 0.0)
{
min *= 0.8;
max *= 1.2;
}
else if (min < 0.0)
{
min *= 1.2;
max *= 0.8;
}
else
{
min = -1.0;
max = 1.0;
}
}
x[j] = (min + max) / 2.0 + (max - min) * (rand.NextDouble() - 0.5) * 3.0;
}
break;
}
list.Add(new Point(x, es));
sn++;
if (sn > 3)
{
sn = 0;
}
}
// This function is balanced by the equation solver, not called directly by the user.
public static double Ljp(List <Ion> ionList, double[] startingPhis, double[] startingCLs, double temperatureC)
{
double KT = Constants.boltzmann * (temperatureC + Constants.zeroCinK);
double cdadc = 1.0; // fine for low concentrations
int ionCount = ionList.Count;
int ionCountMinusOne = ionCount - 1;
int ionCountMinusTwo = ionCount - 2;
int indexLastIon = ionCount - 1;
int indexSecondFromLastIon = ionCount - 2;
Ion lastIon = ionList[indexLastIon];
Ion secondFromLastIon = ionList[indexSecondFromLastIon];
if (startingPhis.Length != ionCount - 2)
{
throw new ArgumentException();
}
if (startingCLs.Length != ionCount - 2)
{
throw new ArgumentException();
}
// populate charges, mus, and rhos from all ions except the last one
double[] charges = new double[ionCountMinusOne];
double[] mus = new double[ionCountMinusOne];
double[] rhos = new double[ionCountMinusOne];
for (int j = 0; j < ionCountMinusOne; j++)
{
Ion ion = ionList[j];
charges[j] = ion.charge;
mus[j] = ion.mu;
rhos[j] = ion.c0;
}
// populate phis from all ions except the last two
double[] phis = new double[ionCountMinusOne];
for (int j = 0; j < ionCountMinusTwo; j++)
{
phis[j] = startingPhis[j];
}
// second from last phi is the concentration difference
phis[indexSecondFromLastIon] = secondFromLastIon.cL - secondFromLastIon.c0;
// prepare info about second from last ion concentration difference for loop
if (secondFromLastIon.c0 == secondFromLastIon.cL)
{
throw new InvalidOperationException("second from last ion concentrations cannot be equal");
}
double KC0 = secondFromLastIon.c0;
double KCL = secondFromLastIon.cL;
double dK = (KCL - KC0) / 1000.0;
// set last ion C0 based on charges, rhos, and linear algebra
double zCl = ionList[indexLastIon].charge;
double rhoCl = -Linalg.ScalarProduct(charges, rhos) / zCl;
lastIon.c0 = rhoCl;
// cycle to determine junction voltage
double V = 0.0;
for (double rhoK = KC0; ((dK > 0) ? rhoK <= KCL : rhoK >= KCL); rhoK += dK)
{
rhoCl = -Linalg.ScalarProduct(rhos, charges) / zCl;
double DCl = lastIon.mu * KT * cdadc;
double vCl = zCl * Constants.e * lastIon.mu * rhoCl;
double[] v = new double[ionCountMinusOne];
double[,] mD = new double[ionCountMinusOne, ionCountMinusOne];
for (int j = 0; j < ionCountMinusOne; j++)
{
for (int k = 0; k < ionCountMinusOne; k++)
{
mD[j, k] = 0.0;
}
}
for (int j = 0; j < ionCountMinusOne; j++)
{
for (int k = 0; k < ionCountMinusOne; k++)
{
mD[j, k] = 0.0;
}
mD[j, j] = mus[j] * KT * cdadc;
v[j] = charges[j] * Constants.e * mus[j] * rhos[j];
}
if (Linalg.ScalarProduct(charges, v) + zCl * vCl == 0.0)
{
return(Double.NaN); // Singularity; abort calculation
}
double[,] identity = Linalg.Identity(ionCountMinusOne);
double[,] linAlgSum = Linalg.Sum(1, mD, -DCl, identity);
double[] sumCharge = Linalg.Product(linAlgSum, charges);
double chargesProd = Linalg.ScalarProduct(charges, v);
double chargesProdPlusCl = chargesProd + zCl * vCl;
double[] delta = Linalg.ScalarMultiply(sumCharge, 1.0 / chargesProdPlusCl);
double[,] mDyadic = new double[ionCountMinusOne, ionCountMinusOne];
for (int j = 0; j < ionCountMinusOne; j++)
{
for (int k = 0; k < ionCountMinusOne; k++)
{
mDyadic[j, k] = v[j] * delta[k];
}
}
double[,] mM = Linalg.Sum(1, mDyadic, -1, mD);
double[] rhop = Linalg.Solve(mM, phis);
double rhopK = rhop[indexSecondFromLastIon];
rhos = Linalg.Sum(1, rhos, dK / rhopK, rhop);
double E = Linalg.ScalarProduct(delta, rhop);
V -= E * dK / rhopK;
}
// modify CLs based on the rhos we calculated
for (int j = 0; j < ionCountMinusTwo; j++)
{
startingCLs[j] = rhos[j];
}
return(V);
}