/// <summary>
/// Computes the I.
/// </summary>
/// <returns>The I</returns>
public Matrix Integrate()
{
if (MatrixPool == null)
{
MatrixPool = new MatrixPool();
}
if (XiPointCount < 1 || EtaPointCount < 1 || GammaPointCount < 1)
{
throw new NotSupportedException();
}
double a1 = A1, a2 = A2;
var f1 = F1;
var f2 = F2;
var g1 = G1;
var g2 = G2;
var vk = GaussPoints.GetGaussianValues(GammaPointCount);
var wk = GaussPoints.GetGaussianWeights(GammaPointCount);
var vj = GaussPoints.GetGaussianValues(EtaPointCount);
var wj = GaussPoints.GetGaussianWeights(EtaPointCount);
var vi = GaussPoints.GetGaussianValues(XiPointCount);
var wi = GaussPoints.GetGaussianWeights(XiPointCount);
Matrix I = null;//we do not know dimensions yet!
for (var k = 0; k < GammaPointCount; k++)
{
var gammaK = (a2 - a1) / 2 * vk[k] + (a2 + a1) / 2;
Matrix phi = null;// = new Matrix(H, W);
for (var j = 0; j < EtaPointCount; j++)
{
var noj = (f2(gammaK) - f1(gammaK)) / 2 * vj[j] + (f2(gammaK) + f1(gammaK)) / 2;
Matrix beta = null;//= new Matrix(H, W);
for (var i = 0; i < XiPointCount; i++)
{
var xii = (g2(noj, gammaK) - g1(noj, gammaK)) / 2 * vi[i] + (g2(noj, gammaK) + g1(noj, gammaK)) / 2;
var val = H.GetMatrix(xii, noj, gammaK);
//initiate I, phi and beta
if (beta == null)
{
beta =
//new Matrix(val.RowCount, val.ColumnCount);
MatrixPool.Allocate(val.RowCount, val.ColumnCount);
}
if (phi == null)
{
phi =
//new Matrix(val.RowCount, val.ColumnCount);
MatrixPool.Allocate(val.RowCount, val.ColumnCount);
}
if (I == null)
{
I =
//new Matrix(val.RowCount, val.ColumnCount);
MatrixPool.Allocate(val.RowCount, val.ColumnCount);
}
var valSc = (g2(noj, gammaK) - g1(noj, gammaK)) / 2 * wi[i];
//beta += val;
beta.AddToThis(val, valSc);
val.ReturnToPool();
}
var phiSc = (f2(gammaK) - f1(gammaK)) / 2 * wj[j];
phi.AddToThis(beta, phiSc);
beta.ReturnToPool();
}
var iSc = (a2 - a1) / 2 * wk[k];
I.AddToThis(phi, iSc);
phi.ReturnToPool();
//I += (a2 - a1) / 2 * wk[k] * phi;
}
return(I);
}
/// <summary>
/// Computes the I.
/// </summary>
/// <returns>The I</returns>
public Matrix Integrate()
{
if (XiPointCount < 1 || EtaPointCount < 1 || GammaPointCount < 1)
{
throw new NotSupportedException();
}
double a1 = A1, a2 = A2;
var f1 = F1;
var f2 = F2;
var g1 = G1;
var g2 = G2;
var vk = GaussPoints.GetGaussianValues(GammaPointCount);
var wk = GaussPoints.GetGaussianWeights(GammaPointCount);
var vj = GaussPoints.GetGaussianValues(EtaPointCount);
var wj = GaussPoints.GetGaussianWeights(EtaPointCount);
var vi = GaussPoints.GetGaussianValues(XiPointCount);
var wi = GaussPoints.GetGaussianWeights(XiPointCount);
Matrix I = null;//we do not know dimensions yet!
for (var k = 0; k < GammaPointCount; k++)
{
var gammaK = (a2 - a1) / 2 * vk[k] + (a2 + a1) / 2;
Matrix phi = null;// = new Matrix(H, W);
for (var j = 0; j < EtaPointCount; j++)
{
var noj = (f2(gammaK) - f1(gammaK)) / 2 * vj[j] + (f2(gammaK) + f1(gammaK)) / 2;
Matrix beta = null;//= new Matrix(H, W);
for (var i = 0; i < XiPointCount; i++)
{
var xii = (g2(noj, gammaK) - g1(noj, gammaK)) / 2 * vi[i] + (g2(noj, gammaK) + g1(noj, gammaK)) / 2;
var val = H.GetMatrix(xii, noj, gammaK);
//initiate I, phi and beta
if (beta == null)
{
beta = new Matrix(val.RowCount, val.ColumnCount);
}
if (phi == null)
{
phi = new Matrix(val.RowCount, val.ColumnCount);
}
if (I == null)
{
I = new Matrix(val.RowCount, val.ColumnCount);
}
val.MultiplyByConstant((g2(noj, gammaK) - g1(noj, gammaK)) / 2 * wi[i]);
beta += val;
}
phi += (f2(gammaK) - f1(gammaK)) / 2 * wj[j] * beta;
}
I += (a2 - a1) / 2 * wk[k] * phi;
}
return(I);
}