public void InternalTemperaturs(int nb, ElementList elemList, BoundaryNodeList boundaryNodeList, double lam) // Wyznacza temperaturę w punkcie wewnętrznym
{
BoundaryNodeList nodeList = new BoundaryNodeList(this);
if (BoundaryElement.ElemType == "Constant")
{
double[,] Hd = Matrixs.HdMatrix(nb, ref elemList, ref nodeList);
double[,] G = Matrixs.GdMatrix(nb, ref elemList, ref nodeList, lam);
int i = 0;
foreach (InternalPoint ip in this)
{
double sumHT = 0.0, sumGq = 0.0;
for (int j = 0; j < boundaryNodeList.Length; j++)
{
sumHT += (Hd[i, j] * boundaryNodeList[j].T);
sumGq += (G[i, j] * boundaryNodeList[j].Q);
}
this[i++].Temperature = sumHT - sumGq;
}
}
else
{
double[,] H = Matrixs.HMatrixForInternalPoints(nb, ref elemList, ref nodeList, ref boundaryNodeList);
double[,] G = Matrixs.GMatrixForInternalPoints(nb, ref elemList, ref nodeList, ref boundaryNodeList, lam);
int i = 0;
foreach (InternalPoint ip in this)
{
double sumHT = 0.0, sumGq = 0.0;
for (int j = 0; j < boundaryNodeList.Length; j++)
{
sumHT += (H[i, j] * boundaryNodeList[j].T);
sumGq += (G[i, j] * boundaryNodeList[j].Q);
}
this[i++].Temperature = sumHT - sumGq;
}
}
}
public Data(ref BoundaryList bl, ref ElementList el, ref BoundaryNodeList bnl, ref InternalPointList ipl, ref double[,] Garr,
ref double[,] Harr, ref double[,] A1arr, ref double[,] A2arr, ref double[] Farr, ref double[] Yarr, ref double[] Xarr)
{
this.boundaryList = bl;
this.elementList = el;
this.bNodeList = bnl;
this.iPointList = ipl;
this.g = Garr;
this.h = Harr;
this.a1 = A1arr;
this.a2 = A2arr;
this.f = Farr;
this.y = Yarr;
this.x = Xarr;
if (!GaussJordanElimination.gaussJordanElimination(A1, out this.b))
{
throw new System.Exception("Macierz A1 jest nieodwracalna!!!");
}
else
{
u = AuxiliaryFunctions.MMMultiplication(ref b, ref a2, (int)Math.Sqrt(b.Length), (int)Math.Sqrt(b.Length));
}
}
public static double[,] GMatrix(int n, ref ElementList elemList, ref BoundaryNodeList nodeList, double lam) // Zwraca tablicę G
{
// n - stopień aproksymacji
// elemList - lista z elementami brzegowymi
double[,] G;
switch (BoundaryElement.ElemType)
{
case "Constant":
{
double[,] Gd = GdMatrix(n, ref elemList, ref nodeList, lam);
G = Gd;
break;
}
case "Linear":
{
double[,] Gp = GpkMatrix(n, ref elemList, ref nodeList, lam, "p");
double[,] Gk = GpkMatrix(n, ref elemList, ref nodeList, lam, "k");
int ctr = 1; // Zmienna pomocnicza
G = new double[nodeList.Length, nodeList.Length];
for (int i = 0; i < nodeList.Length; i++)
{
ctr = 1;
if (nodeList[0].NodeType == 2)
{
G[i, nodeList.Length - 1] = Gk[i, elemList.Length - 1];
G[i, 0] = Gp[i, 0];
}
else
{
G[i, 0] = Gk[i, elemList.Length - 1] + Gp[i, 0];
}
for (int j = 1; j < elemList.Length; j++)
{
if (nodeList[ctr].NodeType == 2)
{
G[i, ctr++] = Gk[i, j - 1];
G[i, ctr] = Gp[i, j];
}
else
{
G[i, ctr] = Gk[i, j - 1] + Gp[i, j];
}
ctr++;
}
}
break;
}
case "Parabolic":
{
double[,] Gp = GpskMatrix(n, ref elemList, ref nodeList, lam, "p");
double[,] Gs = GpskMatrix(n, ref elemList, ref nodeList, lam, "s");
double[,] Gk = GpskMatrix(n, ref elemList, ref nodeList, lam, "k");
int ctr; // Zmienna pomocnicza
G = new double[nodeList.Length, nodeList.Length];
for (int i = 0; i < nodeList.Length; i++)
{
ctr = 2;
if (nodeList[0].NodeType == 2)
{
G[i, nodeList.Length - 1] = Gk[i, elemList.Length - 1];
G[i, 0] = Gp[i, 0];
}
else
{
G[i, 0] = Gk[i, elemList.Length - 1] + Gp[i, 0];
}
G[i, 1] = Gs[i, 0];
for (int j = 1; j < elemList.Length; j++)
{
if (nodeList[ctr].NodeType == 2)
{
G[i, ctr++] = Gk[i, j - 1];
G[i, ctr] = Gp[i, j];
}
else
{
G[i, ctr] = Gk[i, j - 1] + Gp[i, j];
}
ctr++;
G[i, ctr] = Gs[i, j];
ctr++;
}
}
break;
}
default:
{
G = new double[elemList.Length, elemList.Length];
throw new System.Exception("Niepoprawny rodzaj elementu podczas tworzenia tablicy G!!!");
}
}
return(G);
}
public static double[,] HMatrixForInternalPoints(int n, ref ElementList elemList, ref BoundaryNodeList internalNodeList, ref BoundaryNodeList boundaryNodeList) // Zwraca tablicę H
{
// n - stopień aproksymacji
// elemList - lista z elementami brzegowymi
double[,] H;
switch (BoundaryElement.ElemType)
{
case "Linear":
{
double[,] Hp = HpkMatrix(n, ref elemList, ref internalNodeList, "p");
double[,] Hk = HpkMatrix(n, ref elemList, ref internalNodeList, "k");
int ctr = 1; // Zmienna pomocnicza
H = new double[internalNodeList.Length, boundaryNodeList.Length];
for (int i = 0; i < internalNodeList.Length; i++)
{
ctr = 1;
if (boundaryNodeList[0].NodeType == 2)
{
H[i, boundaryNodeList.Length - 1] = Hk[i, elemList.Length - 1];
H[i, 0] = Hp[i, 0];
}
else
{
H[i, 0] = Hk[i, elemList.Length - 1] + Hp[i, 0];
}
for (int j = 1; j < elemList.Length; j++)
{
if (boundaryNodeList[ctr].NodeType == 2)
{
H[i, ctr++] = Hk[i, j - 1];
H[i, ctr] = Hp[i, j];
}
else
{
H[i, ctr] = Hk[i, j - 1] + Hp[i, j];
}
ctr++;
}
}
break;
}
case "Parabolic":
{
H = new double[internalNodeList.Length, boundaryNodeList.Length];
double[,] Hp = HpskMatrix(n, ref elemList, ref internalNodeList, "p");
double[,] Hs = HpskMatrix(n, ref elemList, ref internalNodeList, "s");
double[,] Hk = HpskMatrix(n, ref elemList, ref internalNodeList, "k");
int ctr; // Zmienna pomocnicza
for (int i = 0; i < internalNodeList.Length; i++)
{
ctr = 2;
if (boundaryNodeList[0].NodeType == 2)
{
H[i, boundaryNodeList.Length - 1] = Hk[i, elemList.Length - 1];
H[i, 0] = Hp[i, 0];
}
else
{
H[i, 0] = Hk[i, elemList.Length - 1] + Hp[i, 0];
}
H[i, 1] = Hs[i, 0];
for (int j = 1; j < elemList.Length; j++)
{
if (boundaryNodeList[ctr].NodeType == 2)
{
H[i, ctr++] = Hk[i, j - 1];
H[i, ctr] = Hp[i, j];
}
else
{
H[i, ctr] = Hk[i, j - 1] + Hp[i, j];
}
ctr++;
H[i, ctr] = Hs[i, j];
ctr++;
}
}
break;
}
default:
{
H = new double[elemList.Length, elemList.Length];
throw new System.Exception("Niepoprawny rodzaj elementu podczas tworzenia tablicy H dla punktów wewnętrznych!!!");
}
}
return(H);
}
public static double[,] HMatrix(int n, ref ElementList elemList, ref BoundaryNodeList nodeList) // Zwraca tablicę H
{
// n - stopień aproksymacji
// elemList - lista z elementami brzegowymi
double[,] H;
switch (BoundaryElement.ElemType)
{
case "Constant":
{
double[,] Hd = HdMatrix(n, ref elemList, ref nodeList);
H = new double[nodeList.Length, nodeList.Length];
for (int i = 0; i < elemList.Length; i++)
{
for (int j = 0; j < elemList.Length; j++)
{
if (i == j) // Jeżeli i = j
{
H[i, j] = Hd[i, j] - 0.5;
}
else
{
H[i, j] = Hd[i, j];
}
}
}
break;
}
case "Linear":
{
double[,] Hp = HpkMatrix(n, ref elemList, ref nodeList, "p");
double[,] Hk = HpkMatrix(n, ref elemList, ref nodeList, "k");
int ctr = 1; // Zmienna pomocnicza
H = new double[nodeList.Length, nodeList.Length];
for (int i = 0; i < nodeList.Length; i++)
{
ctr = 1;
if (nodeList[0].NodeType == 2)
{
H[i, nodeList.Length - 1] = Hk[i, elemList.Length - 1];
H[i, 0] = Hp[i, 0];
}
else
{
H[i, 0] = Hk[i, elemList.Length - 1] + Hp[i, 0];
}
for (int j = 1; j < elemList.Length; j++)
{
if (nodeList[ctr].NodeType == 2)
{
H[i, ctr++] = Hk[i, j - 1];
H[i, ctr] = Hp[i, j];
}
else
{
H[i, ctr] = Hk[i, j - 1] + Hp[i, j];
}
ctr++;
}
}
double sum = 0.0;
for (int i = 0; i < nodeList.Length; i++)
{
for (int j = 0; j < nodeList.Length; j++)
{
if (i != j)
{
sum += H[i, j];
}
}
H[i, i] = -sum;
sum = 0.0;
}
break;
}
case "Parabolic":
{
double[,] Hp = HpskMatrix(n, ref elemList, ref nodeList, "p");
double[,] Hs = HpskMatrix(n, ref elemList, ref nodeList, "s");
double[,] Hk = HpskMatrix(n, ref elemList, ref nodeList, "k");
int ctr; // Zmienna pomocnicza
H = new double[nodeList.Length, nodeList.Length];
for (int i = 0; i < nodeList.Length; i++)
{
ctr = 2;
if (nodeList[0].NodeType == 2)
{
H[i, nodeList.Length - 1] = Hk[i, elemList.Length - 1];
H[i, 0] = Hp[i, 0];
}
else
{
H[i, 0] = Hk[i, elemList.Length - 1] + Hp[i, 0];
}
H[i, 1] = Hs[i, 0];
for (int j = 1; j < elemList.Length; j++)
{
if (nodeList[ctr].NodeType == 2)
{
H[i, ctr++] = Hk[i, j - 1];
H[i, ctr] = Hp[i, j];
}
else
{
H[i, ctr] = Hk[i, j - 1] + Hp[i, j];
}
ctr++;
H[i, ctr] = Hs[i, j];
ctr++;
}
}
double sum = 0.0;
for (int i = 0; i < nodeList.Length; i++)
{
for (int j = 0; j < nodeList.Length; j++)
{
if (i != j)
{
sum += H[i, j];
}
}
H[i, i] = -sum;
sum = 0.0;
}
break;
}
default:
{
H = new double[elemList.Length, elemList.Length];
throw new System.Exception("Niepoprawny rodzaj elementu podczas tworzenia tablicy H!!!");
}
}
return(H);
}
public static Data EvaluationMME()
{
// Utworzenie obiektu data
Data data = new Data();
BoundaryList boundaryList = new BoundaryList();
Reader.GetGeometry(@path, ref boundaryList); // Odczytywanie listy elementów brzegowych
Reader.GetBoundaryConditionsMME(@path, ref boundaryList); // Odczytywanie warunków brzegowych
BoundaryNodeList bNodeList = new BoundaryNodeList(boundaryList); // Utworzenie listy węzłów brzegowych
ElementList elementList = new ElementList(boundaryList); // Utworzenie listy elementów brzegowych
InternalPointList iPointList = constValue.MMEiternalPointList;
BoundaryNodeList nodeList = new BoundaryNodeList(iPointList); // Wyznaczanie listy węzłów dla elementów brzegowych
double[,] G = Matrixs.GMatrix(nb, ref elementList, ref bNodeList, lam); // Wycznaczenie macierzy G
double[,] H = Matrixs.HMatrix(nb, ref elementList, ref bNodeList); // Wycznaczenie macierzy H
double[,] B;
double[,] A1 = Matrixs.A1MatrixMME(ref G, ref H, ref bNodeList); // Wycznaczenie macierzy A1
if (!GaussJordanElimination.gaussJordanElimination(A1, out B))
{
data.Error = "Macierz A1 jest nieodwracalna.\n\n"
+ AuxiliaryFunctions.PrintArray(A1, (int)Math.Sqrt(A1.Length), (int)Math.Sqrt(A1.Length));
data.binarySerialize(); // Zapis obiektu data do pliku binarnego
return(data);
}
double[,] A2 = Matrixs.A2MatrixMME(ref G, ref H, ref bNodeList); // Wycznaczenie macierzy A2
double[,] Hw;
double[,] Gw;
if (BoundaryElement.ElemType == "Constant")
{
Hw = Matrixs.HdMatrix(nb, ref elementList, ref nodeList);
Gw = Matrixs.GdMatrix(nb, ref elementList, ref nodeList, lam);
}
else
{
Hw = Matrixs.HMatrixForInternalPoints(nb, ref elementList, ref nodeList, ref bNodeList);
Gw = Matrixs.GMatrixForInternalPoints(nb, ref elementList, ref nodeList, ref bNodeList, lam);
}
data.BoundaryList = boundaryList;
data.ElementList = elementList;
data.BoundaryNodeList = bNodeList;
data.IntenralPointList = iPointList;
data.G = G;
data.Gw = Gw;
data.H = H;
data.Hw = Hw;
data.A1 = A1;
data.B = B;
data.A2 = A2;
data.R = Matrixs.RMatrix(Gw, Hw, data.B, data.BoundaryNodeList, data.IntenralPointList);
data.Dw = Matrixs.DwMatrix(Gw, Hw, data.U, data.BoundaryNodeList, data.IntenralPointList);
data.Dw1 = Matrixs.Dw1Matrix(Gw, Hw, data.BoundaryNodeList, data.IntenralPointList);
data.W = Matrixs.WMatrix(data.Hw, data.Gw, data.U, data.BoundaryNodeList, data.IntenralPointList);
data.P = Matrixs.PMatrix(data.BoundaryNodeList);
data.E = Matrixs.EMatrix(Gw, Hw, data.P, data.BoundaryNodeList, data.IntenralPointList);
data.Z = Matrixs.ZMatrix(data.Dw, data.P, data.E, data.BoundaryNodeList, data.IntenralPointList);
data.Fd = Matrixs.FdMatrix(data.Z, data.IntenralPointList);
//double[] fff = { 11.327, 21.561, 25, 21.561, 11.327 };
//data.Fd = fff;
data.J = Matrixs.JMatrix(data.BoundaryNodeList);
data.S = Matrixs.SMatrix(data.U, data.P, data.BoundaryNodeList);
data.Pd = Matrixs.PdMatrix(data.U, data.J, data.S, data.BoundaryNodeList);
data.C = Matrixs.CMatrix(data.U, data.BoundaryNodeList);
// WOLFE
int n = (int)Math.Sqrt(data.C.Length); // Ilość zmiennych decyzyjnych
int m = (int)((data.W.Length / n) * 2); // Ilość ograniczeń
double[,] A = new double[m, n];
double[] b = new double[m];
double[,] C;
double[] p;
if (precision == -1)
{
for (int i = 0; i < m / 2; i++)
{
for (int j = 0; j < n; j++)
{
A[i, j] = data.W[i, j];
}
b[i] = data.Fd[i] + epsilon;
}
for (int i = 0; i < m / 2; i++)
{
for (int j = 0; j < n; j++)
{
A[i + m / 2, j] = -data.W[i, j];
}
b[i + m / 2] = epsilon - data.Fd[i];
}
C = new double[n, n];
p = new double[n];
for (int i = 0; i < n; i++)
{
for (int j = 0; j < n; j++)
{
C[i, j] = data.C[i, j];
}
p[i] = data.Pd[i];
}
}
else
{
for (int i = 0; i < m / 2; i++)
{
for (int j = 0; j < n; j++)
{
A[i, j] = Math.Round(data.W[i, j], precision);
}
b[i] = Math.Round(data.Fd[i] + epsilon, precision);
}
for (int i = 0; i < m / 2; i++)
{
for (int j = 0; j < n; j++)
{
A[i + m / 2, j] = Math.Round(-data.W[i, j], precision);
}
b[i + m / 2] = Math.Round(epsilon - data.Fd[i], precision);
}
C = new double[n, n];
p = new double[n];
for (int i = 0; i < n; i++)
{
for (int j = 0; j < n; j++)
{
C[i, j] = Math.Round(data.C[i, j], precision);
}
p[i] = Math.Round(data.Pd[i], precision);
}
}
InitialTask iTask = new InitialTask(n, m, C, p, A, b);
SubstituteTask sTask = new SubstituteTask(iTask);
Wolfe wolfe = new Wolfe(sTask);
wolfe.Evaluation();
data.Error = wolfe.Error;
if (data.Error == null)
{
AssignSolution(wolfe, ref data);
MEB.EvaluationMEB(data);
}
// wolfe
data.binarySerialize(); // Zapis obiektu data do pliku binarnego
return(data);
}
