static void kuslau3(ISlaeService slae, int node1, int node2, Edge edge)
{
var r1 = r[node1 % r.Length];
var z1 = z[node1 / r.Length];
var r2 = r[node2 % r.Length];
var z2 = z[node2 / r.Length];
var ubeta1 = Ubeta(r1, z1, edge);
var ubeta2 = Ubeta(r2, z2, edge);
if (edge == Edge.Right || edge == Edge.Left)
{
var Mz = Program.Mz(z1, z2);
slae.GetElementOfA(node1, node1) += beta * r1 * Mz[0, 0];
slae.GetElementOfA(node1, node2) += beta * r1 * Mz[0, 1];
slae.GetElementOfA(node2, node1) += beta * r1 * Mz[1, 0];
slae.GetElementOfA(node2, node2) += beta * r1 * Mz[1, 1];
slae.b[node1] += beta * (Mz[0, 0] * r1 * ubeta1 + Mz[0, 1] * r1 * ubeta2);
slae.b[node2] += beta * (Mz[1, 0] * r1 * ubeta1 + Mz[1, 1] * r1 * ubeta2);
}
else
{
var Mr = Program.Mr(r1, r2);
slae.GetElementOfA(node1, node1) += beta * Mr[0, 0];
slae.GetElementOfA(node1, node2) += beta * Mr[0, 1];
slae.GetElementOfA(node2, node1) += beta * Mr[1, 0];
slae.GetElementOfA(node2, node2) += beta * Mr[1, 1];
slae.b[node1] += beta * (Mr[0, 0] * ubeta1 + Mr[0, 1] * ubeta2);
slae.b[node2] += beta * (Mr[1, 0] * ubeta1 + Mr[1, 1] * ubeta2);
}
}
private void kuslau2(ISlaeService slae, int node1, int node2, EEdge edge)
{
var r = SolutionParams.r;
var z = SolutionParams.z;
var r1 = r[node1 % r.Length];
var z1 = z[node1 / r.Length];
var r2 = r[node2 % r.Length];
var z2 = z[node2 / r.Length];
var teta1 = teta(r1, z1, edge);
var teta2 = teta(r2, z2, edge);
if (edge == EEdge.Right || edge == EEdge.Left)
{
var Mz = GetMz(z1, z2);
slae.b[node1] += Mz[0, 0] * r1 * teta1 + Mz[0, 1] * r1 * teta2;
slae.b[node2] += Mz[1, 0] * r1 * teta1 + Mz[1, 1] * r1 * teta2;
}
else
{
var Mr = GetMr(r1, r2);
slae.b[node1] += Mr[0, 0] * teta1 + Mr[0, 1] * teta2;
slae.b[node2] += Mr[1, 0] * teta1 + Mr[1, 1] * teta2;
}
}
static void ConsoleOut(ISlaeService slae)
{
for (int i = 0; i < r.Length * z.Length; i++)
{
Console.Write($"{slae.q[i]:0.########}\t{U(r[i % r.Length], z[i / r.Length]):0.###}");
Console.WriteLine();
}
}
private void kuslau1(ISlaeService slae, int node)
{
var n = SolutionParams.N;
for (var i = 0; i < n; i++)
{
slae.A[node, i] = i == node ? 1 : 0;
slae.A[i, node] = i == node ? 1 : 0;
}
slae.b[node] = 0;
}
private void kuslau1(ISlaeService slae, int node)
{
var n = SolutionParams.N;
var(x1, y1, z1) = GetNodeCoordinates(node);
for (var i = 0; i < n; i++)
{
slae.GetElementOfA(node, i) = i == node ? 1 : 0;
}
slae.b[node] = U(x1, y1, z1);
}
static void FileOut(ISlaeService slae)
{
using (var file = File.OpenWrite("LOS.txt"))
{
using (var sw = new StreamWriter(file))
{
for (var i = 0; i < r.Length * z.Length; i++)
{
sw.Write($"{slae.q[i]:0.########}\t{U(r[i % r.Length], z[i / r.Length]):0.###}");
sw.WriteLine();
}
}
}
}
static void kuslau1(ISlaeService slae, int number1, int number2)
{
var r1 = r[number1 % r.Length];
var z1 = z[number1 / r.Length];
var r2 = r[number2 % r.Length];
var z2 = z[number2 / r.Length];
for (int i = 0; i < r.Length * z.Length; i++)
{
slae.GetElementOfA(number1, i) = i != number1 ? 0 : 1;
slae.GetElementOfA(number2, i) = i != number2 ? 0 : 1;
}
slae.b[number1] = U(r1, z1);
slae.b[number2] = U(r2, z2);
}
private void CalculateKU(EEdge edge, ISlaeService slae)
{
var startNode = GetStartNode(edge);
var endNode = GetEndNode(edge);
bool isFirst;
switch (edge)
{
case EEdge.Bottom:
isFirst = SolutionParams.BottomFirst;
break;
case EEdge.Top:
isFirst = SolutionParams.TopFirst;
break;
case EEdge.Left:
isFirst = SolutionParams.LeftFirst;
break;
case EEdge.Right:
isFirst = SolutionParams.RightFirst;
break;
case EEdge.Front:
isFirst = SolutionParams.FrontFirst;
break;
case EEdge.Back:
isFirst = SolutionParams.BackFirst;
break;
default:
throw new ArgumentOutOfRangeException(nameof(edge), edge, null);
}
if (!isFirst)
{
return;
}
for (var i = startNode; i <= endNode; i = GetNextNode(i, edge))
{
kuslau1(slae, i);
}
}
static void kuslau2(ISlaeService slae, int node1, int node2, Edge edge)
{
var r1 = r[node1 % r.Length];
var z1 = z[node1 / r.Length];
var r2 = r[node2 % r.Length];
var z2 = z[node2 / r.Length];
var teta1 = teta(r1, z1, edge);
var teta2 = teta(r2, z2, edge);
if (edge == Edge.Right || edge == Edge.Left)
{
var Mz = Program.Mz(z1, z2);
slae.b[node1] += Mz[0, 0] * r1 * teta1 + Mz[0, 1] * r1 * teta2;
slae.b[node2] += Mz[1, 0] * r1 * teta1 + Mz[1, 1] * r1 * teta2;
}
else
{
var Mr = Program.Mr(r1, r2);
slae.b[node1] += Mr[0, 0] * teta1 + Mr[0, 1] * teta2;
slae.b[node2] += Mr[1, 0] * teta1 + Mr[1, 1] * teta2;
}
}
private void kuslau3(ISlaeService slae, int node1, int node2, EEdge edge)
{
var r = SolutionParams.r;
var z = SolutionParams.z;
var r1 = r[node1 % r.Length];
var z1 = z[node1 / r.Length];
var r2 = r[node2 % r.Length];
var z2 = z[node2 / r.Length];
var ubeta1 = Ubeta(r1, z1, edge);
var ubeta2 = Ubeta(r2, z2, edge);
if (edge == EEdge.Right || edge == EEdge.Left)
{
var Mz = GetMz(z1, z2);
slae.GetElementOfA(node1, node1) += SolutionParams.Beta * r1 * Mz[0, 0];
slae.GetElementOfA(node1, node2) += SolutionParams.Beta * r1 * Mz[0, 1];
slae.GetElementOfA(node2, node1) += SolutionParams.Beta * r1 * Mz[1, 0];
slae.GetElementOfA(node2, node2) += SolutionParams.Beta * r1 * Mz[1, 1];
slae.b[node1] += SolutionParams.Beta * (Mz[0, 0] * r1 * ubeta1 + Mz[0, 1] * r1 * ubeta2);
slae.b[node2] += SolutionParams.Beta * (Mz[1, 0] * r1 * ubeta1 + Mz[1, 1] * r1 * ubeta2);
}
else
{
var Mr = GetMr(r1, r2);
slae.GetElementOfA(node1, node1) += SolutionParams.Beta * Mr[0, 0];
slae.GetElementOfA(node1, node2) += SolutionParams.Beta * Mr[0, 1];
slae.GetElementOfA(node2, node1) += SolutionParams.Beta * Mr[1, 0];
slae.GetElementOfA(node2, node2) += SolutionParams.Beta * Mr[1, 1];
slae.b[node1] += SolutionParams.Beta * (Mr[0, 0] * ubeta1 + Mr[0, 1] * ubeta2);
slae.b[node2] += SolutionParams.Beta * (Mr[1, 0] * ubeta1 + Mr[1, 1] * ubeta2);
}
}
private void AddLocal(ISlaeService slae, int number)
{
var(x1, y1, z1) = GetNodeCoordinates(number);
var(x2, y2, z2) = GetOppositeNodeCoordinates(number);
var Gx = GetLocalG(x1, x2);
var Gy = GetLocalG(y1, y2);
var Gz = GetLocalG(z1, z2);
var Mx = GetLocalM(x1, x2);
var My = GetLocalM(y1, y2);
var Mz = GetLocalM(z1, z2);
#region Формирование матрицы жёсткости и массы
const int nodesCount = 8;
var G = new double[nodesCount, nodesCount];
var M = new double[nodesCount, nodesCount];
for (var i = 0; i < nodesCount; i++)
{
var iBinaryArray = ToBinaryConverter.ConvertToBinary(i, 3);
var xi = iBinaryArray[0];
var yi = iBinaryArray[1];
var zi = iBinaryArray[2];
for (var j = i; j < nodesCount; j++)
{
var jBinaryArray = ToBinaryConverter.ConvertToBinary(j, 3);
var xj = jBinaryArray[0];
var yj = jBinaryArray[1];
var zj = jBinaryArray[2];
G[i, j] = SolutionParams.Lambda * (Gx[xi, xj] * My[yi, yj] * Mz[zi, zj] +
Mx[xi, xj] * Gy[yi, yj] * Mz[zi, zj] +
Mx[xi, xj] * My[yi, yj] * Gz[zi, zj]);
M[i, j] = SolutionParams.Gamma * Mx[xi, xj] * My[yi, yj] * Mz[zi, zj];
}
for (var j = 0; j < i; j++)
{
G[i, j] = G[j, i];
M[i, j] = M[j, i];
}
}
#endregion
#region Добавление в матрицу А
var nodesNumbers = GetNodesNumbers(number);
var n = nodesNumbers.Length;
for (var i = 0; i < n; i++)
{
var row = nodesNumbers[i];
for (var j = 0; j < n; j++)
{
var column = nodesNumbers[j];
slae.A[row, column] += G[i, j] + M[i, j];
}
}
#endregion
#region Добавление в вектор правой части
for (var j = 0; j < n; j++)
{
var row = nodesNumbers[j];
var(x, y, z) = GetNodeCoordinates(row);
var fValue = f(x, y, z);
for (var i = 0; i < n; i++)
{
slae.b[nodesNumbers[i]] += M[i, j] * fValue;
}
}
#endregion
}
static void AddLocal(ISlaeService slae, int number)
{
var r1 = r[number % r.Length];
var z1 = z[number / r.Length];
var r2 = r[number % r.Length + 1];
var z2 = z[number / r.Length + 1];
var hr = r2 - r1;
var hz = z2 - z1;
var G = new double[4, 4];
var M = new double[4, 4];
double[,] Gr =
{
{ (r2 + r1) / 2 / hr, -(r2 + r1) / 2 / hr },
{ -(r2 + r1) / 2 / hr, (r2 + r1) / 2 / hr }
};
var Mr = Program.Mr(r1, r2);
double[,] Gz =
{
{ 1 / hz, -1 / hz },
{ -1 / hz, 1 / hz }
};
var Mz = Program.Mz(z1, z2);
#region Матрицы жёсткости и массы
G[0, 0] = lambda * (Gr[0, 0] * Mz[0, 0] + Mr[0, 0] * Gz[0, 0]);
G[0, 1] = lambda * (Gr[0, 1] * Mz[0, 0] + Mr[0, 1] * Gz[0, 0]);
G[0, 2] = lambda * (Gr[0, 0] * Mz[0, 1] + Mr[0, 0] * Gz[0, 1]);
G[0, 3] = lambda * (Gr[0, 1] * Mz[0, 1] + Mr[0, 1] * Gz[0, 1]);
G[1, 0] = G[0, 1];
G[1, 1] = lambda * (Gr[1, 1] * Mz[0, 0] + Mr[1, 1] * Gz[0, 0]);
G[1, 2] = lambda * (Gr[1, 0] * Mz[0, 1] + Mr[1, 0] * Gz[0, 1]);
G[1, 3] = lambda * (Gr[1, 1] * Mz[0, 1] + Mr[1, 1] * Gz[0, 1]);
G[2, 0] = G[0, 2];
G[2, 1] = G[1, 2];
G[2, 2] = lambda * (Gr[0, 0] * Mz[1, 1] + Mr[0, 0] * Gz[1, 1]);
G[2, 3] = lambda * (Gr[0, 1] * Mz[1, 1] + Mr[0, 1] * Gz[1, 1]);
G[3, 0] = G[0, 3];
G[3, 1] = G[1, 3];
G[3, 2] = G[2, 3];
G[3, 3] = lambda * (Gr[1, 1] * Mz[1, 1] + Mr[1, 1] * Gz[1, 1]);
M[0, 0] = gamma * Mr[0, 0] * Mz[0, 0];
M[0, 1] = gamma * Mr[0, 1] * Mz[0, 0];
M[0, 2] = gamma * Mr[0, 0] * Mz[0, 1];
M[0, 3] = gamma * Mr[0, 1] * Mz[0, 1];
M[1, 0] = M[0, 1];
M[1, 1] = gamma * Mr[1, 1] * Mz[0, 0];
M[1, 2] = gamma * Mr[1, 0] * Mz[0, 1];
M[1, 3] = gamma * Mr[1, 1] * Mz[0, 1];
M[2, 0] = M[0, 2];
M[2, 1] = M[1, 2];
M[2, 2] = gamma * Mr[0, 0] * Mz[1, 1];
M[2, 3] = gamma * Mr[0, 1] * Mz[1, 1];
M[3, 0] = M[0, 3];
M[3, 1] = M[1, 3];
M[3, 2] = M[2, 3];
M[3, 3] = gamma * Mr[1, 1] * Mz[1, 1];
#endregion
#region Добавление в матрицу А
slae.GetElementOfA(number, number) += G[0, 0] + M[0, 0];
slae.GetElementOfA(number, number + 1) += G[0, 1] + M[0, 1];
slae.GetElementOfA(number, number + r.Length) += G[0, 2] + M[0, 2];
slae.GetElementOfA(number, number + r.Length + 1) += G[0, 3] + M[0, 3];
slae.GetElementOfA(number + 1, number) += G[1, 0] + M[1, 0];
slae.GetElementOfA(number + 1, number + 1) += G[1, 1] + M[1, 1];
slae.GetElementOfA(number + 1, number + r.Length) += G[1, 2] + M[1, 2];
slae.GetElementOfA(number + 1, number + r.Length + 1) += G[1, 3] + M[1, 3];
slae.GetElementOfA(number + r.Length, number) += G[2, 0] + M[2, 0];
slae.GetElementOfA(number + r.Length, number + 1) += G[2, 1] + M[2, 1];
slae.GetElementOfA(number + r.Length, number + r.Length) += G[2, 2] + M[2, 2];
slae.GetElementOfA(number + r.Length, number + r.Length + 1) += G[2, 3] + M[2, 3];
slae.GetElementOfA(number + r.Length + 1, number) += G[3, 0] + M[3, 0];
slae.GetElementOfA(number + r.Length + 1, number + 1) += G[3, 1] + M[3, 1];
slae.GetElementOfA(number + r.Length + 1, number + r.Length) += G[3, 2] + M[3, 2];
slae.GetElementOfA(number + r.Length + 1, number + r.Length + 1) += G[3, 3] + M[3, 3];
#endregion
#region Добавление в вектор правой части
for (var i = 0; i < 2; i++)
{
for (var j = 0; j < 2; j++)
{
slae.b[number] += M[0, 2 * i + j] * f(r[number % r.Length + j], z[number / r.Length + i]);
slae.b[number + 1] += M[1, 2 * i + j] * f(r[number % r.Length + j], z[number / r.Length + i]);
slae.b[number + r.Length] += M[2, 2 * i + j] * f(r[number % r.Length + j], z[number / r.Length + i]);
slae.b[number + r.Length + 1] += M[3, 2 * i + j] * f(r[number % r.Length + j], z[number / r.Length + i]);
}
}
#endregion
}