public static SHResult AFToSH(double[,] r, IList <float> mu, IList <float> phi, int n, IList <double> gaussWeights = null, IList <double[][]> qkm = null)
{
// mu задано в нулях полиномов Лежандра
if (gaussWeights == null)
{
gaussWeights = Legzo(mu.Count).Weight;
}
if (qkm == null)
{
qkm = new List <double[][]>();
foreach (var m in mu)
{
qkm.Add(Schmidt(m, n));
}
}
var dphi = (float)(2 * Math.PI / (phi.Count - 1));
var result = new SHResult(n);
for (int k = 0; k < n; k++)
{
float ksi = 1;
float k2 = 2 * k + 1;
for (int m = 0; m < k + 1; m++)
{
float a = 0;
float b = 0;
for (int imu = 0; imu < mu.Count; imu++)
{
var w = (float)gaussWeights[imu];
for (int iphi = 0; iphi < phi.Count; iphi++)
{
float wi = (iphi == 0 || iphi == phi.Count - 1) ? 0.5f : 1f;
a = a + ksi * (float)(Math.Cos(m * phi[iphi]) * r[imu, iphi] * qkm[imu][k][m] * k2 * wi * w);
b = b + ksi * (float)(Math.Sin(m * phi[iphi]) * r[imu, iphi] * qkm[imu][k][m] * k2 * wi * w);
}
}
result.A[k][m] = a * dphi * 0.25f / (float)Math.PI;
result.B[k][m] = b * dphi * 0.25f / (float)Math.PI;
if (m == 0)
{
ksi = ksi * 2;
}
}
}
return(result);
}
public static float[][] SHToAF(SHResult sh, IList <float> mu, IList <float> phi, IList <double[][]> qkm = null)
{
var result = new float[mu.Count][];
for (int i = 0; i < mu.Count; i++)
{
result[i] = new float[phi.Count];
}
if (qkm == null)
{
qkm = new List <double[][]>();
foreach (var m in mu)
{
qkm.Add(Schmidt(m, sh.N));
}
}
for (int imu = 0; imu < mu.Count; imu++)
{
for (int iphi = 0; iphi < phi.Count; iphi++)
{
double r = 0;
for (int k = 0; k < sh.N; k++)
{
for (int m = 0; m < k + 1; m++)
{
r += qkm[imu][k][m] * (sh.A[k][m] * Math.Cos(m * phi[iphi]) + sh.B[k][m] * Math.Sin(m * phi[iphi]));
}
}
result[imu][iphi] = (float)r;
}
}
return(result);
}
public static float SHToAF(SHResult sh, float mu, float phi, double[][] qkm = null)
{
/*
* var result = new float[mu.Count][];
* for ( int i = 0; i < mu.Count; i++ )
* result[i] = new float[phi.Count];
*/
if (qkm == null)
{
qkm = Schmidt(mu, sh.N);
}
double r = 0;
for (int k = 0; k < sh.N; k++)
{
for (int m = 0; m < k + 1; m++)
{
r += qkm[k][m] * (sh.A[k][m] * Math.Cos(m * phi) + sh.B[k][m] * Math.Sin(m * phi));
}
}
return((float)r);
}