Программа расчета потенциального течения жидкости
Форма 1
using System;
using System.Collections.Generic;
using System.ComponentModel;
using System.Data;
using System.Drawing;
using System.Linq;
using System.Text;
using System.Windows.Forms;
using System.IO;
using System.Drawing.Drawing2D;
namespace Потенциальный_поток
{
public partial class Form1 : Form
{
public Form2 f2;
List<string> list_st = new List<string>();
string st;
string[] St;
public Double[,] MatrCoor, MatrTop, MatrGran;
public double[] qx, qy;
public int[] cx;
public int[] cy;
public int i = 0, j = 0, n = 0, m = 0, mg = 0;
public Form1()
{
InitializeComponent();
}
private void сохранитьВФайлToolStripMenuItem_Click(object sender, EventArgs e)
{
// Сохранение в файл координатной матрицы
n = 0;
for (i = 0; i < dataGridView1.RowCount - 1; i++) n++;
MatrCoor = new double[n, 4];
for (i = 0; i < n; i++)
{
for (j = 0; j < 4; j++)
MatrCoor[i, j] = Convert.ToDouble(dataGridView1.Rows[i].Cells[j].Value);
}
if (saveFileDialog1.ShowDialog() == DialogResult.OK)
{
FileStream FS = saveFileDialog1.OpenFile() as FileStream;
StreamWriter SR = new StreamWriter(FS);
//dataGridView1.Rows.Add();
for (i = 0; i < n; i++)
{
st = null;
for (j = 0; j < 4; j++)
{
st = st + MatrCoor[i, j].ToString() + " ";
}
SR.WriteLine(st);
}
SR.Close();
FS.Close();
}
}
private void считатьИзФайлаToolStripMenuItem_Click(object sender, EventArgs e)
{
// Считывание из файла координатной матрицы
if (openFileDialog1.ShowDialog() == DialogResult.OK)
{
FileStream FSR = openFileDialog1.OpenFile() as FileStream;
StreamReader SRR = new StreamReader(FSR);
dataGridView1.Rows.Clear();
list_st.Clear();
while (SRR.Peek() > 0)
{
list_st.Add(SRR.ReadLine());
//dataGridView1
dataGridView1.Rows.Add();
}
St = list_st.ToArray();
n = St.Length;
MatrCoor = new double[n, 4];
for (i = 0; i < n; i++)
{
St[i] = St[i].Replace(".", ","); ;
//Разбиение строки St на подстроки aa
string[] aa = St[i].Split(" \t".ToCharArray(), StringSplitOptions.RemoveEmptyEntries);
for (j = 0; j < aa.Length; j++)
{
//Заполнение матрицы и таблицы
MatrCoor[i, j] = Convert.ToDouble(aa[j]);
dataGridView1.Rows[i].Cells[j].Value = MatrCoor[i, j];
}
}
SRR.Close();
FSR.Close();
}
}
private void считатьИзФайлаToolStripMenuItem1_Click(object sender, EventArgs e)
{
// Считывание из файла топологической матрицы
tabControl1.DeselectTab(tabPage1);
if (openFileDialog1.ShowDialog() == DialogResult.OK)
{
FileStream FSR = openFileDialog1.OpenFile() as FileStream;
StreamReader SRR = new StreamReader(FSR);
dataGridView2.Rows.Clear();
list_st.Clear();
while (SRR.Peek() > 0)
{
list_st.Add(SRR.ReadLine());
//dataGridView1
dataGridView2.Rows.Add();
}
St = list_st.ToArray();
m = St.Length;
MatrTop = new double[m, 7];
MatrTop = new Double[m, 7];
qx = new double[m];
qy = new double[m];
for (i = 0; i < m; i++)
{
St[i] = St[i].Replace(".", ","); ;
//Разбиение строки St на подстроки aa
string[] aa = St[i].Split(" \t".ToCharArray(), StringSplitOptions.RemoveEmptyEntries);
for (j = 0; j < aa.Length; j++)
{
//Заполнение матрицы и таблицы
MatrTop[i, j] = Convert.ToDouble(aa[j]);
dataGridView2.Rows[i].Cells[j].Value = MatrTop[i, j];
}
}
SRR.Close();
FSR.Close();
}
}
private void сохранитьВФайлToolStripMenuItem1_Click(object sender, EventArgs e)
{
tabControl1.DeselectTab(tabPage1);
// Сохранение в файл топологической матрицы
m = 0;
for (i = 0; i < dataGridView2.RowCount - 1; i++) m++;
MatrTop = new double[m, 7];
for (i = 0; i < m; i++)
{
for (j = 0; j < 7; j++)
MatrTop[i, j] = Convert.ToDouble(dataGridView2.Rows[i].Cells[j].Value);
}
if (saveFileDialog1.ShowDialog() == DialogResult.OK)
{
FileStream FS = saveFileDialog1.OpenFile() as FileStream;
StreamWriter SR = new StreamWriter(FS);
//dataGridView1.Rows.Add();
for (i = 0; i < m; i++)
{
st = null;
for (j = 0; j < 7; j++)
{
st = st + MatrTop[i, j].ToString() + " ";
}
SR.WriteLine(st);
}
SR.Close();
FS.Close();
}
}
private void считатьИзФойлаToolStripMenuItem_Click(object sender, EventArgs e)
{
//Считывание из файла граничных условий
tabControl1.DeselectTab(tabPage2);
if (openFileDialog1.ShowDialog() == DialogResult.OK)
{
FileStream FSR = openFileDialog1.OpenFile() as FileStream;
StreamReader SRR = new StreamReader(FSR);
dataGridView3.Rows.Clear();
list_st.Clear();
while (SRR.Peek() > 0)
{
list_st.Add(SRR.ReadLine());
//dataGridView1
dataGridView3.Rows.Add();
}
St = list_st.ToArray();
mg = St.Length;
MatrGran = new double[mg, 4];
for (i = 0; i < mg; i++)
{
St[i] = St[i].Replace(".", ","); ;
//Разбиение строки St на подстроки aa
string[] aa = St[i].Split(" \t".ToCharArray(), StringSplitOptions.RemoveEmptyEntries);
for (j = 0; j < aa.Length; j++)
{
//Заполнение матрицы и таблицы
MatrGran[i, j] = Convert.ToDouble(aa[j]);
dataGridView3.Rows[i].Cells[j].Value = MatrGran[i, j];
}
}
SRR.Close();
FSR.Close();
}
}
private void сохранитьВФайлToolStripMenuItem2_Click(object sender, EventArgs e)
{
//Сохранение в файл граничных условий
tabControl1.DeselectTab(tabPage2);
mg = 0;
for (i = 0; i < dataGridView3.RowCount - 1; i++) mg++;
MatrGran = new double[mg, 4];
for (i = 0; i < mg; i++)
{
for (j = 0; j < 4; j++)
MatrGran[i, j] = Convert.ToDouble(dataGridView3.Rows[i].Cells[j].Value);
}
if (saveFileDialog1.ShowDialog() == DialogResult.OK)
{
FileStream FS = saveFileDialog1.OpenFile() as FileStream;
StreamWriter SR = new StreamWriter(FS);
//dataGridView1.Rows.Add();
for (i = 0; i < mg; i++)
{
st = null;
for (j = 0; j < 4; j++)
{
st = st + MatrGran[i, j].ToString() + " ";
}
SR.WriteLine(st);
}
SR.Close();
FS.Close();
}
}
private void button1_Click(object sender, EventArgs e)
{
Close();
}
public void графикToolStripMenuItem_Click(object sender, EventArgs e)
{
//Построение
double[] x, y;
Double My = 0, MaxY = 0, Mx = 0, MaxX = 0;
int[] yint, xint;
Bitmap myBmp;
x = new double[n];
y = new double[n];
cx = new int[m];
cy = new int[m];
for (i = 0; i < n; i++)
{
x[i] = MatrCoor[i, 1];
y[i] = MatrCoor[i, 2];
}
if (x == null || y == null) return;
MaxY = 0.001;
MaxX = 0.001;
for (i = 0; i < n; i++)
{
if (System.Math.Abs(y[i]) > MaxY)
{
MaxY = System.Math.Abs(y[i]); ;
}
if (System.Math.Abs(x[i]) > MaxX)
{
MaxX = System.Math.Abs(x[i]);
}
}
if (MaxY >= MaxX)
MaxX = MaxY;
else
MaxY = MaxX;
My = (pictureBox1.Height) / 1.2 / MaxY;
Mx = (pictureBox1.Width) / 1.2 / MaxX;
yint = new int[n];
xint = new int[n];
for (int i = 0; i < n; i++)
{
yint[i] = Convert.ToInt32(pictureBox1.Height / 1.1) - Convert.ToInt32(y[i] * My);
xint[i] = Convert.ToInt32(pictureBox1.Width / 10) + Convert.ToInt32(x[i] * Mx);
}
myBmp = new Bitmap(pictureBox1.Width, pictureBox1.Height);
Graphics gr1 = Graphics.FromImage(myBmp);
Pen P1 = new Pen(Color.Red, 2);
gr1.DrawRectangle(P1, 1, 1, pictureBox1.Width - 2, pictureBox1.Height - 2);
Pen P2 = new Pen(Color.Green, 2);
Pen P5 = new Pen(Color.Green, 8);
Brush B2 = new SolidBrush(Color.Azure);
Brush B21 = new SolidBrush(Color.SpringGreen);
Pen P3 = new Pen(Color.Brown, 4);
Pen P21 = new Pen(Color.Plum, 2);
Brush B22 = new SolidBrush(Color.Black);
System.Drawing.Font E = new Font("time new roman", 14);
Pen P6 = new Pen(Color.Aqua, 18);
//Закрашивание пористых элементов
for (i = 0; i < m; i++)
{
int xsk1 = xint[(int)MatrTop[i, 1] - 1];
int ysk1 = yint[(int)MatrTop[i, 1] - 1];
int xsk2 = xint[(int)MatrTop[i, 2] - 1];
int ysk2 = yint[(int)MatrTop[i, 2] - 1];
int xsk3 = xint[(int)MatrTop[i, 3] - 1];
int ysk3 = yint[(int)MatrTop[i, 3] - 1];
Point xy1 = new Point(xsk1, ysk1);
Point xy2 = new Point(xsk2, ysk2);
Point xy3 = new Point(xsk3, ysk3);
Point[] xy = { xy1, xy2, xy3 };
Brush B3 = new SolidBrush(Color.Aquamarine);
Brush B4 = new SolidBrush(Color.LightCyan);
if (MatrTop[i, 5] != 1 || MatrTop[i, 6] != 1)
{
gr1.FillPolygon(B3, xy);
}
else
{
gr1.FillPolygon(B4, xy);
}
}
//Построение участков входных скоростей
int l = 0;
if (MatrGran != null)
while (l < mg)
{
gr1.DrawLine(P6, xint[(int)MatrGran[l, 1] - 1], yint[(int)MatrGran[l, 1] - 1], xint[(int)MatrGran[l, 2] - 1], yint[(int)MatrGran[l, 2] - 1]);
l++;
}
//Построение контура элементов
for (i = 0; i < m; i++)
{
cx[i] = (int)(xint[(int)MatrTop[i, 1] - 1] + xint[(int)MatrTop[i, 2] - 1] + xint[(int)MatrTop[i, 3] - 1]) / 3;
cy[i] = (int)(yint[(int)MatrTop[i, 1] - 1] + yint[(int)MatrTop[i, 2] - 1] + yint[(int)MatrTop[i, 3] - 1]) / 3;
}
string stc;
if(checkBox2.Checked)
for (i = 0; i < m; i++)
{
stc = MatrTop[i, 0].ToString();
gr1.DrawLine(P3, xint[(int)MatrTop[i, 1] - 1], yint[(int)MatrTop[i, 1] - 1], xint[(int)MatrTop[i, 2] - 1], yint[(int)MatrTop[i, 2] - 1]);
gr1.DrawLine(P3, xint[(int)MatrTop[i, 2] - 1], yint[(int)MatrTop[i, 2] - 1], xint[(int)MatrTop[i, 3] - 1], yint[(int)MatrTop[i, 3] - 1]);
gr1.DrawLine(P3, xint[(int)MatrTop[i, 1] - 1], yint[(int)MatrTop[i, 1] - 1], xint[(int)MatrTop[i, 3] - 1], yint[(int)MatrTop[i, 3] - 1]);
cx[i] = (int)(xint[(int)MatrTop[i, 1] - 1] + xint[(int)MatrTop[i, 2] - 1] + xint[(int)MatrTop[i, 3] - 1]) / 3;
cy[i] = (int)(yint[(int)MatrTop[i, 1] - 1] + yint[(int)MatrTop[i, 2] - 1] + yint[(int)MatrTop[i, 3] - 1]) / 3;
gr1.DrawString(MatrTop[i, 0].ToString(), E, B22, cx[i], cy[i]);
gr1.DrawRectangle(P21, cx[i], cy[i], stc.Length * 12 + 4, 23);
}
Brush B33 = new SolidBrush(Color.Black);
System.Drawing.Font E1 = new Font("time new roman", 14);
if (checkBox1.Checked)
for (i = 0; i < n; i++)
{
if (MatrCoor[i, 3] != 0)
{
gr1.FillEllipse(B21, xint[i] - 8, yint[i] - 8, 16, 16);
gr1.DrawEllipse(P2, xint[i] - 8, yint[i] - 8, 16, 16);
}
else
{
gr1.FillEllipse(B2, xint[i] - 4, yint[i] - 4, 8, 8);
}
int ii = i + 1;
gr1.DrawEllipse(P2, xint[i] - 4, yint[i] - 4, 8, 8);
int ii1 = i + 1;
Brush B13 = new SolidBrush(Color.DarkBlue);
System.Drawing.Font E11 = new Font("time new roman", 10);
gr1.DrawString(ii1.ToString(), E11, B13, xint[i] - 18, yint[i] - 18);
}
//Построение скоростей потока
Pen P4 = new Pen(Color.Indigo, 6);
// Стиль пера с наконечниками
P4.SetLineCap(LineCap.Flat, LineCap.ArrowAnchor, DashCap.Flat);
int[] iqx, iqy;
iqx = new int[m];
iqy = new int[m];
if (qx != null || qy != null)
{
double Maxqx = 0.001;
double Maxqy = 0.001;
for (i = 0; i < m; i++)
{
if (System.Math.Abs(qx[i]) > Maxqx)
{
Maxqx = System.Math.Abs(qx[i]); ;
}
if (System.Math.Abs(qy[i]) > Maxqy)
{
Maxqy = System.Math.Abs(qy[i]);
}
}
if (Maxqy >= Maxqx)
Maxqx = Maxqy;
else
Maxqy = Maxqx;
double Mvy = (pictureBox1.Height) / 8 / Maxqx;
double Mvx = (pictureBox1.Width) / 8 / Maxqx;
for (i = 0; i < m; i++)
{
iqx[i] = Convert.ToInt32(qx[i] * Mvx);
iqy[i] = -Convert.ToInt32(qy[i] * Mvx);
gr1.DrawLine(P4, cx[i], cy[i], cx[i] + iqx[i], cy[i] + iqy[i]);
}
}
pictureBox1.Image = myBmp;
}
private void рассчетToolStripMenuItem_Click(object sender, EventArgs e)
{
//Расчет
f2 = new Form2(this);
f2.Show();
}
}
}
Форма 2
using System;
using System.Collections.Generic;
using System.ComponentModel;
using System.Data;
using System.Drawing;
using System.Linq;
using System.Text;
using System.Windows.Forms;
namespace Потенциальный_поток
{
public partial class Form2 : Form
{
Form1 f1;
public Double[,] MatrCoor, MatrTop, MatrGran;
public double[,] K, Ke, K1;
public double[] P, P1, u;
public Form2(Form1 f1)
{
InitializeComponent();
this.f1 = f1;
this.MatrCoor = f1.MatrCoor;
this.MatrTop = f1.MatrTop;
this.MatrGran = f1.MatrGran;
Demo();
}
void Demo()
{
int[,] IM;
IM = new int[f1.m, 3];
for (int i = 0; i < f1.n - 1; i++)
{ // Добавление колонки
DataGridViewTextBoxColumn titleColumn1 = new DataGridViewTextBoxColumn();
titleColumn1.HeaderText = "Titlt" + (i + 2).ToString();
//Выравнивание ширины колонки в соответствии с заданным стилем - AllCells
titleColumn1.AutoSizeMode = DataGridViewAutoSizeColumnMode.AllCells;
dataGridView1.Columns.Add(titleColumn1);
dataGridView1.Rows.Add();
dataGridView2.Rows.Add();
}
//Формирование матрицы индексов
for (int i = 0; i < f1.m; i++)
{
for (int j = 0; j < 3; j++)
{
IM[i, j] = Convert.ToInt32(MatrTop[i, j + 1] - 1);
//dataGridView1.Rows[i].Cells[j].Value = IM[i, j];
}
}
K = new double[f1.n, f1.n];
//Формирование матрицы коэффициентов влияния
for (int i = 0; i < f1.m; i++)
{
int n1 = IM[i, 0];
int n2 = IM[i, 1];
int n3 = IM[i, 2];
Double x1 = MatrCoor[n1, 1] * Math.Cos(MatrTop[i, 4]) + MatrCoor[n1, 2] * Math.Sin(MatrTop[i, 4]);
Double y1 = MatrCoor[n1, 2] * Math.Cos(MatrTop[i, 4]) - MatrCoor[n1, 1] * Math.Sin(MatrTop[i, 4]);
Double x2 = MatrCoor[n2, 1] * Math.Cos(MatrTop[i, 4]) + MatrCoor[n2, 2] * Math.Sin(MatrTop[i, 4]);
Double y2 = MatrCoor[n2, 2] * Math.Cos(MatrTop[i, 4]) - MatrCoor[n2, 1] * Math.Sin(MatrTop[i, 4]);
Double x3 = MatrCoor[n3, 1] * Math.Cos(MatrTop[i, 4]) + MatrCoor[n3, 2] * Math.Sin(MatrTop[i, 4]);
Double y3 = MatrCoor[n3, 2] * Math.Cos(MatrTop[i, 4]) - MatrCoor[n3, 1] * Math.Sin(MatrTop[i, 4]);
Double a1 = x3 - x2;
Double a2 = x1 - x3;
Double a3 = x2 - x1;
Double b1 = y2 - y3;
Double b3 = y1 - y2;
Double b2 = y3 - y1;
Double F2 = b1 * a2 - b2 * a1;
Double sx = MatrTop[i, 5];
Double sy = MatrTop[i, 6];
Double[,] fk = new Double[3, 3];
fk[0, 0] = (sx * b1 * b1 + sy * a1 * a1) / (2* F2);
fk[1, 1] = (sx * b2 * b2 + sy * a2 * a2) / (2*F2);
fk[2, 2] = (sx * b3 * b3 + sy * a3 * a3) / (2* F2);
fk[0, 1] = (sx * b1 * b2 + sy * a1 * a2) / (2* F2);
fk[0, 2] = (sx * b1 * b3 + sy * a1 * a3) / (2* F2);
fk[1, 2] = (sx * b3 * b2 + sy * a3 * a2) / (2* F2);
fk[1, 0] = fk[0, 1];
fk[2, 0] = fk[0, 2];
fk[2, 1] = fk[1, 2];
for (int l = 0; l < 3; l++)
{
int ll = IM[i, l];
for (int z = 0; z < 3; z++)
{
int zz = IM[i, z];
K[ll, zz] = K[ll, zz] + fk[l, z];
}
}
}
P = new double[f1.n];
for (int i = 0; i < MatrGran.Length / 4; i++)
{
int ll = Convert.ToInt32(MatrGran[i, 1]) - 1;
int zz = Convert.ToInt32(MatrGran[i, 2]) - 1;
double L = Math.Sqrt(Math.Pow((MatrCoor[ll, 1] - MatrCoor[zz, 1]), 2) + Math.Pow((MatrCoor[ll, 2] - MatrCoor[zz, 2]), 2));
P[ll] = P[ll] + MatrGran[i, 3] /2*L;
P[zz] = P[zz] + MatrGran[i, 3] /2*L;
}
//Копирование матриц
K1 = new double[f1.n, f1.n];
P1 = new double[f1.n];
for (int i = 0; i < f1.n; i++)
{
P1[i] = P[i];
//dataGridView1.Rows[i].Cells[0].Value = P[i];
for (int j = 0; j < f1.n; j++)
{
K1[i, j] = K[i, j];
//dataGridView1.Rows[i].Cells[j].Value = K[i, j];
}
}
//Главные граничные условия
for (int i = 0; i < f1.n; i++)
{
if (MatrCoor[i, 3] != 0)
{
for (int j = 0; j < f1.n; j++)
{
if (i != j)
{
K1[i, j] = 0;
}
}
K1[i, i] = K[i, i];
P1[i] = MatrCoor[i, 3] * K[i, i];
// dataGridView1.Rows[i].Cells[0].Value = P1[i];
}
}
u = new double[f1.n];
for (int i = 0; i < f1.n; i++)
{
u[i] = P1[i];
}
int KS = 0;
ClassSIMQ S = new ClassSIMQ();
S.SIMQ(K1, ref u, f1.n, ref KS);
label1.Text = "Код ошибки равен " + KS.ToString();
for (int i = 0; i < f1.n; i++)
{
dataGridView2.Rows[i].Cells[0].Value = u[i];
for (int j = 0; j < f1.n; j++)
{
dataGridView1.Rows[i].Cells[j].Value = K1[i, j];
}
}
//Расчет скоростей
double[] vx = new double[f1.m];
double[] vx1 = new double[f1.m];
double[] vy = new double[f1.m];
double[] vy1 = new double[f1.m];
double[] v = new double[f1.m];
for (int i = 0; i < f1.m; i++)
{
int n1 = IM[i, 0];
int n2 = IM[i, 1];
int n3 = IM[i, 2];
Double x1 = MatrCoor[n1, 1] * Math.Cos(MatrTop[i, 4]) + MatrCoor[n1, 2] * Math.Sin(MatrTop[i, 4]);
Double y1 = MatrCoor[n1, 2] * Math.Cos(MatrTop[i, 4]) - MatrCoor[n1, 1] * Math.Sin(MatrTop[i, 4]);
Double x2 = MatrCoor[n2, 1] * Math.Cos(MatrTop[i, 4]) + MatrCoor[n2, 2] * Math.Sin(MatrTop[i, 4]);
Double y2 = MatrCoor[n2, 2] * Math.Cos(MatrTop[i, 4]) - MatrCoor[n2, 1] * Math.Sin(MatrTop[i, 4]);
Double x3 = MatrCoor[n3, 1] * Math.Cos(MatrTop[i, 4]) + MatrCoor[n3, 2] * Math.Sin(MatrTop[i, 4]);
Double y3 = MatrCoor[n3, 2] * Math.Cos(MatrTop[i, 4]) - MatrCoor[n3, 1] * Math.Sin(MatrTop[i, 4]);
Double a1 = x3 - x2;
Double a2 = x1 - x3;
Double a3 = x2 - x1;
Double b1 = y2 - y3;
Double b3 = y1 - y2;
Double b2 = y3 - y1;
Double F2 = b1 * a2 - b2 * a1;
Double sx = MatrTop[i, 5];
Double sy = MatrTop[i, 6];
Double u1 = u[n1];
Double u2 = u[n2];
Double u3 = u[n3];
vx[i] = 1.0/F2* sx * (b1 * u1 + b2 * u2 + b3 * u3);
vy[i] = 1.0/F2* sy * (a1 * u1 + a2 * u2 + a3 * u3);
vx1[i] = vx[i] * Math.Cos(MatrTop[i, 4]) - vy[i] * Math.Sin(MatrTop[i, 4]);
vy1[i] = vx[i] * Math.Sin(MatrTop[i, 4]) + vy[i] * Math.Cos(MatrTop[i, 4]);
dataGridView3.Rows.Add();
dataGridView3.Rows[i].Cells[0].Value = i + 1;
dataGridView3.Rows[i].Cells[1].Value = vx1[i];
dataGridView3.Rows[i].Cells[2].Value = vy1[i];
f1.qx[i] = vx1[i];
f1.qy[i] = vy1[i];
v[i] = Math.Sqrt(vx1[i] * vx1[i] + vy1[i] * vy1[i]);
dataGridView3.Rows[i].Cells[3].Value = v[i];
}
}
private void button1_Click(object sender, EventArgs e)
{
//Построение
f1.графикToolStripMenuItem_Click(sender, e);
f1.Activate();
}
}
}
Класс ClassSIMQ
using System;
using System.Collections.Generic;
using System.Linq;
using System.Text;
namespace Потенциальный_поток
{
class ClassSIMQ
{
double[] A, B;
public void SIMQ(double[,] K, ref double[] P, int N, ref int KS)
{
A = new double[N * N + 1];
B = new double[N + 1];
int sd = 0;
for (int i = 0; i < N; i++)
{
B[i + 1] = P[i];
for (int j = 0; j < N; j++)
{
sd++;
A[sd] = K[j, i];
}
}
int JY, IT, J, IJ, IMAX = 0, I, I1, k, I2, IQS, IX, JX, IXJX, JJX, IXJ, NY, IB, IA, IC;
double TOL = 0, BIGA = 0, SAVE;
KS = 0;
int JJ = -N;
for (J = 1; J <= N; J++)
{
JY = J + 1;
JJ = JJ + N + 1;
BIGA = 0.0;
IT = JJ - J;
for (I = J; I <= N; I++)
{
IJ = IT + I;
if (Math.Abs(BIGA) - Math.Abs(A[IJ]) < 0)
{
BIGA = A[IJ];
IMAX = I;
}
}//30
if (Math.Abs(BIGA) - TOL <= 0)
{
KS = 1;
return;
}
I1 = J + N * (J - 2);
IT = IMAX - J;
for (k = J; k <= N; k++)
{
I1 = I1 + N;
I2 = I1 + IT;
SAVE = A[I1];
A[I1] = A[I2];
A[I2] = SAVE;
A[I1] = A[I1] / BIGA;
}//50
SAVE = B[IMAX];
B[IMAX] = B[J];
B[J] = SAVE / BIGA;
if ((J - N) == 0)
{
break;
}
IQS = N * (J - 1);
for (IX = JY; IX <= N; IX++)
{
IXJ = IQS + IX;
IT = J - IX;
for (JX = JY; JX <= N; JX++)
{
IXJX = N * (JX - 1) + IX;
JJX = IXJX + IT;
A[IXJX] = A[IXJX] - A[IXJ] * A[JJX];
}
B[IX] = B[IX] - B[J] * A[IXJ];
}
}//65
NY = N - 1;
IT = N * N;
for (J = 1; J <= NY; J++)
{
IA = IT - J;
IB = N - J;
IC = N;
for (k = 1; k <= J; k++)
{
B[IB] = B[IB] - A[IA] * B[IC];
IA = IA - N;
IC = IC - 1;
}
}//80
for (int i = 0; i < N; i++)
{
P[i] = B[i + 1];
}
}
}
}
Экранные формы:
Форма 1.
Форма 2.
ПРИЛОЖЕНИЕ 4
Программа исследования вращения твердого тела
Форма 1
using System;
using System.Collections.Generic;
using System.ComponentModel;
using System.Data;
using System.Drawing;
using System.Linq;
using System.Text;
using System.Windows.Forms;
using System.Drawing.Drawing2D;
namespace WindowsFormsApplicationL4
{
public partial class Form1 : Form
{
//Описание делегата
public delegate Double y(Double x1, Double x2);
Double a=-10, b=10, h=0.1,w=0;
double[] T, Y, Iny;
int i,n;
Bitmap myBmp, myBmp2;
double Mx, My, My1, MaxY1, MaxY, MaxT;
public Form1()
{
InitializeComponent();
}
private void button1_Click(object sender, EventArgs e)
{ // Вычисление
dataGridView1.Rows.Clear();
a = Convert.ToDouble(textBox1.Text);
b = Convert.ToDouble(textBox2.Text);
h = Convert.ToDouble(textBox3.Text);
w = Convert.ToDouble(textBox4.Text);
// Создание экземпляра делегата
y fx;
fx = null;
int s = 0;
//MS = new System.MessageBox.messageBox(this) ;
if (this.radioButton1.Checked) s = 1;
if (this.radioButton2.Checked) s = 2;
if (this.radioButton3.Checked) s = 3;
switch (s)
{
// Использование делегата
case 1: fx = new y(fx1); break;
case 2: fx = new y(fx2); break;
case 3: fx = new y(fx3); break;
default:
String Str="Выберите функцию";
//Вывод сообщения
MessageBox.Show(Str,"Ошибка",MessageBoxButtons.OK, MessageBoxIcon.Warning);
return;
}
//Вызов процедуры вычисления интеграла
Integral(a, b, h, fx);
}
private void button2_Click(object sender, EventArgs e)
{ // Выход
Close();
}
// Процедура вычисления интеграла с переменным верхним
//пределом методом тарпеций и заполнение таблицы
void Integral(double a1, double b1, double h1, y f)
{
n = Convert.ToInt32(Math.Abs((b1 - a1) / h1));
Y = new double[n + 1];
T = new double[n + 1];
Iny = new double[n + 1];
T[0] = a1;
Y[0] = f(T[0], w);
Iny[0] = w;
for (i = 1; i < n + 1; i++)
{
dataGridView1.Rows.Add();
T[i] = a1 + i * h1;
Y[i] = f(T[i],Iny[i-1]);
Iny[i] = Iny[i - 1] + (Y[i] + Y[i - 1]) / 2 * h1;
}
for (i = 0; i < n + 1; i++)
{ // Заполнение таблицы
dataGridView1.Rows[i].Cells[0].Value = i;
dataGridView1.Rows[i].Cells[1].Value = T[i];
dataGridView1.Rows[i].Cells[2].Value = Y[i];
dataGridView1.Rows[i].Cells[3].Value = Iny[i];
}
}
// Функции соответствующие делегату y(x)
double fx1(Double x1, Double x2)
{
if (x2 < 300)
{
return (600 - 15 * x1-2*x1*x1);
}
else
{
return (300-30*x1-2*x1*x1);
}
}
double fx2(Double x1, Double x2)
{
return - 2*x1 * x1;
}
double fx3(Double x1, Double x2)
{
if (x2 < 300 )
{
return 600 - 15 * x1 ;
}
else
{
return 300 - 30 * x1 ;
}
}
// Построение
private void button3_Click(object sender, EventArgs e)
{
// Построение графика
int[] yint, y1int, xint;
if (T == null || Y == null || Iny == null) return;
MaxY = 0;
MaxT = 0;
MaxY1 = 0;
myBmp = new Bitmap(pictureBox1.Width, pictureBox1.Height);
Graphics gr1 = Graphics.FromImage(myBmp);
Pen P1 = new Pen(Color.Red, 2);
gr1.DrawRectangle(P1, 1, 1, pictureBox1.Width - 2, pictureBox1.Height - 2);
for (int i = 0; i < n + 1; i++)
{
if (System.Math.Abs(Y[i]) > MaxY)
{
MaxY = System.Math.Abs(Y[i]); ;
}
if (System.Math.Abs(T[i]) > MaxT)
{
MaxT = System.Math.Abs(T[i]);
}
if (System.Math.Abs(Iny[i]) > MaxY1)
{
MaxY1 = System.Math.Abs(Iny[i]);
}
}
My = (pictureBox1.Height) / 2.2 / MaxY;
My1 = (pictureBox1.Height) / 2.8 / MaxY1;
Mx = (pictureBox1.Width) / 1.2 / MaxT;
yint = new int[n + 1];
y1int = new int[n + 1];
xint = new int[n + 1];
for (int i = 0; i < n + 1; i++)
{
yint[i] = (pictureBox1.Height) / 2 - Convert.ToInt32(Y[i] * My);
y1int[i] = (pictureBox1.Height) / 2 - Convert.ToInt32(Iny[i] * My1);
xint[i] = 20 + Convert.ToInt32(T[i] * Mx);
}
Pen P2 = new Pen(Color.Green, 6);
for (int i = 0; i < n; i++)
{
gr1.DrawLine(P2, xint[i], yint[i], xint[i + 1], yint[i + 1]);
}
Pen P3 = new Pen(Color.Brown, 6);
for (int i = 0; i < n; i++)
{
gr1.DrawLine(P3, xint[i], y1int[i], xint[i + 1], y1int[i + 1]);
}
Pen P4 = new Pen(Color.Black, 3);
//Стиль линии с наконечниками
P4.SetLineCap(LineCap.Flat, LineCap.ArrowAnchor, DashCap.Flat);
//Кисть для шрифта на рисунке
Brush B2 = new SolidBrush(Color.Black);
System.Drawing.Font E = new Font("time new roman", 14);
// Вывод надписей на рисунке
gr1.DrawString("y, Инт.y", E, B2, 30, 0);
gr1.DrawString("t", E, B2, pictureBox1.Width - 20, pictureBox1.Height / 2);
gr1.DrawLine(P4, 10, (pictureBox1.Height) / 2, pictureBox1.Width - 10, (pictureBox1.Height) / 2);
gr1.DrawLine(P4, 20, (pictureBox1.Height) - 10, 20, 10);
pictureBox1.Image = myBmp;
legenda();
}
void legenda()
{// Вывод легенды
myBmp2 = new Bitmap(pictureBox2.Width, pictureBox2.Height);
Graphics gr1 = Graphics.FromImage(myBmp2);
Pen P1 = new Pen(Color.Green, 6);
gr1.DrawLine(P1, pictureBox2.Width / 2, 20, pictureBox2.Width - 10, 20);
Pen P2 = new Pen(Color.Brown, 6);
gr1.DrawLine(P2, pictureBox2.Width / 2, 50, pictureBox2.Width - 10, 50);
Brush B2 = new SolidBrush(Color.Black);
System.Drawing.Font E = new Font("time new roman", 14);
gr1.DrawString("y(t)", E, B2, 7, 7);
gr1.DrawString("Инт.y", E, B2, 7, 37);
pictureBox2.Image = myBmp2;
}
}
}
Экранная форма
ПРИЛОЖЕНИЕ 5
Программа расчета условий равновесия системы сил
Форма 1
using System;
using System.Collections.Generic;
using System.ComponentModel;
using System.Data;
using System.Drawing;
using System.Linq;
using System.Text;
using System.Windows.Forms;
using System.IO;
namespace Равновесие_системы_сил
{
public partial class Form1 : Form
{
double[,] MatrA;
double[] MatrB;
int i, j;
int m = 6;
string st;
List<string> list_st = new List<string>();
string[] St;
public Form1()
{
InitializeComponent();
}
private void выходToolStripMenuItem_Click(object sender, EventArgs e)
{
Close();
}
private void сохранитьВФайлToolStripMenuItem_Click(object sender, EventArgs e)
{
// Сохранение в файл исходной матрицы
MatrA = new double[m, m];
for (i = 0; i < m; i++)
{
for (j = 0; j < m; j++)
MatrA[i, j] = Convert.ToDouble(dataGridView3.Rows[i].Cells[j].Value);
}
if (saveFileDialog1.ShowDialog() == DialogResult.OK)
{
FileStream FS = saveFileDialog1.OpenFile() as FileStream;
StreamWriter SR = new StreamWriter(FS);
for (i = 0; i < m; i++)
{
st = null;
for (j = 0; j < m; j++)
{
st = st + MatrA[i, j].ToString() + " ";
}
SR.WriteLine(st);
}
SR.Close();
FS.Close();
}
}
private void считатьИзФайлаToolStripMenuItem_Click(object sender, EventArgs e)
{
// Считывание из файла исходной матрицы
if (openFileDialog1.ShowDialog() == DialogResult.OK)
{
FileStream FS = openFileDialog1.OpenFile() as FileStream;
StreamReader SR = new StreamReader(FS);
dataGridView3.Rows.Clear();
list_st.Clear();
while (SR.Peek() > 0)
{
list_st.Add(SR.ReadLine());
//dataGridView1
dataGridView3.Rows.Add();
}
St = list_st.ToArray();
MatrA = new double[m, m];
for (i = 0; i < m; i++)
{
St[i] = St[i].Replace(".", ","); ;
//Разбиение строки St на подстроки aa
string[] aa = St[i].Split(" \t".ToCharArray(), StringSplitOptions.RemoveEmptyEntries);
for (j = 0; j < m; j++)
{
//Заполнение матрицы и таблицы
MatrA[i, j] = Convert.ToDouble(aa[j]);
dataGridView3.Rows[i].Cells[j].Value = MatrA[i, j];
}
}
SR.Close();
FS.Close();
}
}
private void cToolStripMenuItem_Click(object sender, EventArgs e)
{
// Считывание из файла вектор-столбца
if (openFileDialog1.ShowDialog() == DialogResult.OK)
{
FileStream FS = openFileDialog1.OpenFile() as FileStream;
StreamReader SR = new StreamReader(FS);
dataGridView2.Rows.Clear();
list_st.Clear();
while (SR.Peek() > 0)
{
list_st.Add(SR.ReadLine());
//dataGridView1
dataGridView2.Rows.Add();
}
St = list_st.ToArray();
MatrB = new double[m];
for (i = 0; i < m; i++)
{
St[i] = St[i].Replace(".", ","); ;
//Заполнение матрицы и таблицы
MatrB[i] = Convert.ToDouble(St[i]);
dataGridView2.Rows[i].Cells[0].Value = MatrB[i];
}
SR.Close();
FS.Close();
}
}
private void сохранитьВВайлToolStripMenuItem_Click(object sender, EventArgs e)
{
// Сохранение в файл вектор-столбца
MatrB = new double[m];
for (i = 0; i < m; i++)
{
MatrB[i] = Convert.ToDouble(dataGridView2.Rows[i].Cells[0].Value);
}
if (saveFileDialog1.ShowDialog() == DialogResult.OK)
{
FileStream FS = saveFileDialog1.OpenFile() as FileStream;
StreamWriter SR = new StreamWriter(FS);
for (i = 0; i < m; i++)
{
st = null;
st = MatrB[i].ToString() + " ";
SR.WriteLine(st);
}
SR.Close();
FS.Close();
}
}
private void вычислениеНеизвестныхToolStripMenuItem_Click(object sender, EventArgs e)
{
int KS = 0;
double[] MB = new double[6];
for (i = 0; i < m; i++)
{
MB[i]=MatrB[i];
}
ClassSIMQ S = new ClassSIMQ();
S.SIMQ(MatrA, ref MB, m, ref KS);
label1.Text = "Код ошибки равен " + KS.ToString();
for (i = 0; i < m; i++)
{
//Заполнение таблицы S
dataGridView1.Rows[0].Cells[i].Value = MB[i];
}
}
}
}
Класс ClassSIMQ
using System;
using System.Collections.Generic;
using System.Linq;
using System.Text;
namespace Равновесие_системы_сил
{
class ClassSIMQ
{
double[] A, B;
public void SIMQ(double[,] K, ref double[] P, int N, ref int KS)
{
A = new double[N * N + 1];
B = new double[N + 1];
int sd = 0;
for (int i = 0; i < N; i++)
{
B[i + 1] = P[i];
for (int j = 0; j < N; j++)
{
sd++;
A[sd] = K[j, i];
}
}
int JY, IT, J, IJ, IMAX = 0, I, I1, k, I2, IQS, IX, JX, IXJX, JJX, IXJ, NY, IB, IA, IC;
double TOL = 0, BIGA = 0, SAVE;
KS = 0;
int JJ = -N;
for (J = 1; J <= N; J++)
{
JY = J + 1;
JJ = JJ + N + 1;
BIGA = 0.0;
IT = JJ - J;
for (I = J; I <= N; I++)
{
IJ = IT + I;
if (Math.Abs(BIGA) - Math.Abs(A[IJ]) < 0)
{
BIGA = A[IJ];
IMAX = I;
}
}//30
if (Math.Abs(BIGA) - TOL <= 0)
{
KS = 1;
return;
}
I1 = J + N * (J - 2);
IT = IMAX - J;
for (k = J; k <= N; k++)
{
I1 = I1 + N;
I2 = I1 + IT;
SAVE = A[I1];
A[I1] = A[I2];
A[I2] = SAVE;
A[I1] = A[I1] / BIGA;
}//50
SAVE = B[IMAX];
B[IMAX] = B[J];
B[J] = SAVE / BIGA;
if ((J - N) == 0)
{
break;
}
IQS = N * (J - 1);
for (IX = JY; IX <= N; IX++)
{
IXJ = IQS + IX;
IT = J - IX;
for (JX = JY; JX <= N; JX++)
{
IXJX = N * (JX - 1) + IX;
JJX = IXJX + IT;
A[IXJX] = A[IXJX] - A[IXJ] * A[JJX];
}
B[IX] = B[IX] - B[J] * A[IXJ];
}
}//65
NY = N - 1;
IT = N * N;
for (J = 1; J <= NY; J++)
{
IA = IT - J;
IB = N - J;
IC = N;
for (k = 1; k <= J; k++)
{
B[IB] = B[IB] - A[IA] * B[IC];
IA = IA - N;
IC = IC - 1;
}
}//80
for (int i = 0; i < N; i++)
{
P[i] = B[i + 1];
}
}
}
}
Экранная форма проекта
