using System;
using System.Collections.Generic;
using System.Text;
namespace SphericalFields
{
/// <summary>
/// Spherical Gradient of vector field
/// </summary>
public class SphericalVectorPotentialGragient : SphericalVectorField
{
#region Ctor
public SphericalVectorPotentialGragient()
{
}
#endregion
#region Overriden Members
public override void Caclulate(double ctheta, double stheta,
double cphi, double sphi, double r)
{
FillSinCos(cphi, sphi, cosArray, sinArray);
CalculateAll(stheta, ctheta);
double ar = a / r;
double arc = ar * ar;
sphericalVector[0] = 0;
sphericalVector[1] = 0;
sphericalVector[2] = 0;
for (int i = 1; i < n + 1; i++)
{
arc *= ar;
double arr = arc * (double)(i + 1);
//double art = -arc * ar;
double arp = ar * arc / ctheta;
for (int j = 0; j <= i; j++)
{
double cc = ccoeff[i][j] * cosArray[j];
double cs = scoeff[i][j] * sinArray[j];
double sc = ccoeff[i][j] * sinArray[j];
double ss = scoeff[i][j] * cosArray[j];
double cp = 0;
double cm = 0;
if (j == 0)
{
cp = cc;
cm = cs;
}
else
{
cp = cc + cs;
cm = sc - ss;
}
double p = P[i][j];
double dr = arr * cp * p;
double dt = -arc * cp * dP[i][j];
double dp = arc * cm * (double)(j) * p;
sphericalVector[0] += dr;
sphericalVector[1] += dt;
sphericalVector[2] += dp;
}
}
}
public override void Set(int n, int m, double a, double[][] ccoeff, double[][] scoeff)
{
Init(n, m);
this.n = n;
this.m = m;
this.a = a;
this.ccoeff = ccoeff;
this.scoeff = scoeff;
cosArray = new double[n + 1];
sinArray = new double[n + 1];
cosArray[0] = 1;
sinArray[0] = 0;
Normalize();
}
public override SphericalType SphericalType
{
get { return SphericalType.VectorPotentialGragient; }
}
#endregion
#region Members
/// <summary>
/// Normalization
/// </summary>
private void Normalize()
{
double[][] S = new double[n + 1][];
for (int i = 0; i < S.Length; i++)
{
S[i] = new double[i + 1];
}
S[0][0] = 1;
for (int i = 1; i < S.Length; i++)
{
S[i][0] = S[i - 1][0] * (((double)(2 * i - 1)) / ((double)i));
}
for (int i = 1; i < S.Length; i++)
{
double ia = (double)i;
for (int j = 1; j < S[i].Length; j++)
{
double ja = (double)j;
double delta = (j == 1) ? 1 : 0;
S[i][j] = S[i][j - 1] * Math.Sqrt(((ia - ja + 1) * (delta + 1)) / (ia + ja));
}
}
for (int i = 0; i < ccoeff.Length; i++)
{
double[] cc = ccoeff[i];
double[] cs = scoeff[i];
for (int j = 0; j < ccoeff[i].Length; j++)
{
double coeff = S[i][j];
cc[j] *= coeff;
cs[j] *= coeff;
}
}
}
#endregion
}
}
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