private void buttonTaylor_Click(object sender, EventArgs e)
{
try
{
a = float.Parse(textBoxA.Text);
b = float.Parse(textBoxB.Text);
}
catch (FormatException)
{
MessageBox.Show("Parsing error, aborted.");
return;
}
DekartForm df = new DekartForm(150, 150, 50, 430);
df.Size = new Size(440, 540);
df.Text = "Red - error | Olive - Taylor's row | Green - f(x)";
df.AddGraphic(new DoubleFunction(taylor_err), a, b, DrawModes.DrawLines,
Color.Red);
df.AddGraphic(new DoubleFunction(taylor), a, b, DrawModes.DrawLines,
Color.Olive);
df.AddGraphic(new DoubleFunction(f), a, b, DrawModes.DrawPoints,
Color.Green);
//df.DrawAllGraphics();
df.Show();
}
private void tool_f_Click(object sender, EventArgs e)
{
try
{
a = float.Parse(textBoxA.Text);
b = float.Parse(textBoxB.Text);
}
catch (FormatException)
{
MessageBox.Show("Parsing error, aborted.");
return;
}
if ((!checkBoxReuse.Checked) || (dForm == null))
{
dForm = new DekartForm(100, 100, 50, 400);
dForm.Size = new Size(440, 540);
}
else
{
dForm.RemoveAllGraphics();
}
dForm.Text = "Green - f(x)";
dForm.AddGraphic(new DoubleFunction(f), a, b, DrawModes.DrawLines,
Color.Green);
dForm.Show();
}
private void buttonTask1_Click(object sender, EventArgs e)
{
try
{
a = float.Parse(textBoxA.Text);
b = float.Parse(textBoxB.Text);
}
catch (FormatException)
{
MessageBox.Show("Parsing error, aborted.");
return;
}
DekartForm df = new DekartForm(40, 40,
Screen.PrimaryScreen.WorkingArea.Width / 2,
Screen.PrimaryScreen.WorkingArea.Height / 2);
df.WindowState = FormWindowState.Maximized;
df.Text = "Red - f(x) | Olive - df(x)/dx | Green - d²f(x)/dx²";
df.AddGraphic(new DoubleFunction(f), a, b, DrawModes.DrawLines,
Color.Red);
df.AddGraphic(new DoubleFunction(deriv_f), a, b, DrawModes.DrawLines,
Color.Olive);
df.AddGraphic(new DoubleFunction(deriv2_f), a, b, DrawModes.DrawLines,
Color.Green);
df.Show();
//DrawAllGraphics();
}
private void buttonSysFailPeriodic_Click(object sender, EventArgs e)
{
if (ActiveMdiChild is FormChild)
{
FormChild activeMdiChild = ActiveMdiChild as FormChild;
PointF[] pts = new PointF[activeMdiChild.DataAsRow.Length];
for (int i = 0; i < pts.Length; i++)
{
pts[i].X = i;
pts[i].Y = (float)activeMdiChild.DataAsRow[i];
}
dform = new DekartForm(30, 30, 100, 300);
ToolStripButton tsb = new ToolStripButton("Рассчет");
tsb.Click += new EventHandler(dfSFPriodic_dfClosed);
dform.toolStrip1.Items.Add(tsb);
dform.AddPolygon(Color.Blue, 2f, DrawModes.DrawPoints, pts);
dform.MouseClick += new MouseEventHandler(dfSFPeriodic_MouseClick);
//dform.FormClosed += new FormClosedEventHandler(dfSFPriodic_dfClosed);
dform.Use_IsVisible = false;
dform.Show();
dform.Update2();
}
}
private void RunWave_Click(object sender, EventArgs e)
{
DekartForm dForm = new DekartForm(150, 150, 50, 175);
dForm.Size = new Size(800, 420);
dForm.Text = "f(x,t) = |cos(t)|*sin(4x)";
dForm.Show();
int tmpID = -1;
for (t = 0; !dForm.IsDisposed; t += 0.1f)
{
if (t > +2 * Math.PI)
{
t -= 2 * (float)Math.PI;
}
if (tmpID >= 0)
{
dForm.RemoveGraphic(tmpID);
}
tmpID = dForm.AddGraphic(fun, -5, 5,
DrawModes.DrawLines, Color.Red);
dForm.Update2(); //.DrawAllGraphics();
Application.DoEvents();
}
}
private void FindRoot()
{
double res = double.NaN;
List <PointF[]> lines = null;
#region prepare dform
if (dForm == null)
{
dForm = new DekartForm(100, 100, 300, 300);
dForm.Size = new Size(750, 600);
dForm.Use_IsVisible = false;
dForm.toolStripContainer1.ContentPanel.MouseUp +=
new MouseEventHandler(dForm_MouseClick);
dForm.FormClosed += new FormClosedEventHandler(delegate(object s, FormClosedEventArgs eva)
{
ReadPolynom();
textBoxFx.Text = poly1.ToString();
dForm = null;
});
}
else
{
dForm.RemoveAllGraphics();
}
#endregion
dForm.AddGraphic(f, x1, x2, DrawModes.DrawLines, Color.Green);
dForm.Show();
dForm.Update2();
res = NewtoneRafson(f, df, p0, eps, out lines, false);
lastRoot = res;
#region Print results
if (lines != null)
{
foreach (PointF[] pts in lines)
{
dForm.AddPolygon(Color.Red, DrawModes.DrawLines, pts);
}
}
dForm.Update2();
if (double.IsNaN(res))
{
dForm.Text = "Корни не найдены.";
return;
}
listRoots.Items.Add("x" + (listRoots.Items.Count + 1) + " = "
+ res.ToString("F16"));
listY.Items.Add("y" + (listY.Items.Count + 1) + " = "
+ poly1.Evaluate(res).ToString("F16"));
#endregion
}
private void task11ToolStripMenuItem_Click(object sender, EventArgs e)
{
GetDelta();
DekartForm df = new DekartForm(30, 30, 100, 200);
df.AddGraphic(new DoubleFunction(f11), -0.7f, 10f, DrawModes.DrawPoints,
Color.SpringGreen);
df.Show2();
}
private void fxItem_Click(object sender, EventArgs e)
{
DekartForm dForm = new DekartForm(75, 75, 320, 300);
dForm.Size = new Size(700, 600);
dForm.AddGraphic(f, -5f, 5f, DrawModes.DrawLines, Color.Green);
dForm.Use_IsVisible = false;
dForm.Show();
dForm.Update2();
}
void dfSFProgress_MouseClick(object sender, MouseEventArgs e)
{
if (e.Button == MouseButtons.Right)
{
if (ActiveMdiChild is FormChild)
{
FormChild activeMdiChild = ActiveMdiChild as FormChild;
(sender as Form).Close();
double[] data = activeMdiChild.DataAsRow;
double sx, sy, sx2, sy2, sxy, n;
sx = sy = sx2 = sy2 = sxy = 0;
n = data.Length;
for (int i = 0; i < data.Length; i++)
{
sx += i;
sx2 += i * i;
sy += data[i];
sy2 += data[i] * data[i];
sxy += i * data[i];
}
double a, b; // y = ax +b
a = (n * sxy - sx * sy) / (n * sx2 - sx * sx);
b = (sy * sx2 - sx * sxy) / (n * sx2 - sx * sx);
PointF[] pts = new PointF[data.Length];
PointF[] pts0 = new PointF[data.Length];
for (int i = 0; i < pts.Length; i++)
{
// i => x
pts[i].X = pts0[i].X = i;
// ax*b => y0, data => y
pts[i].Y = (float)data[i];
pts0[i].Y = (float)(a * i + b);
}
// float oneThird = 1f / 3f;
DekartForm df = new DekartForm(30, 30, 100, 150);
df.AddPolygon(Color.Green, 3f, DrawModes.DrawPoints, pts);
df.AddPolygon(Color.Red, 2f, DrawModes.DrawLines, pts0);
df.Use_IsVisible = false;
df.MouseClick += new MouseEventHandler(dfSFProgress_MouseClick);
df.Show();
df.Update2();
}
}
}
public static double Muller(DoubleFunction f,
double p1, double p2, double p3, double eps,
ref DekartForm dForm, bool silent)
{
double p0;
int stepsMaden = 0;
Parabola parabola = new Parabola(p1, f(p1), p2, f(p2), p3, f(p3));
dForm.AddGraphic(parabola.Eval,
(float)(double)Min(p1, p2, p3),
(float)(double)Max(p1, p2, p3),
DrawModes.DrawLines, Color.Red);
do
{
p0 = p1;
p1 = p2;
p2 = p3;
p3 = NextRoot(f, p0, p1, p2);
stepsMaden++;
parabola = new Parabola(p1, f(p1), p2, f(p2), p3, f(p3));
dForm.AddGraphic(parabola.Eval,
(float)(double)Min(p1, p2, p3),
(float)(double)Max(p1, p2, p3),
DrawModes.DrawLines, Color.Red);
if (stepsMaden % 100 == 0)
{
if (silent)
{
return(double.NaN);
}
if (MessageBox.Show("Performed " + stepsMaden.ToString()
+ " steps, continue?", "Разошлось наверно?",
MessageBoxButtons.OKCancel, MessageBoxIcon.Question,
MessageBoxDefaultButton.Button1) != DialogResult.OK)
{
return(double.NaN);
}
}
}while ((Math.Abs(p3 - p2) >= eps) &&
(Math.Abs(f(p3)) > eps));
return(p3);
}
void solver_DebugMaxMin(FractionPoint max, FractionPoint min, Fraction f_tan)
{
if (df == null)
{
df = new DekartForm(100, 100, 100, 100);
df.Text = "max & min";
}
df.Use_IsVisible = false;
// n
df.AddPolygon(Color.Black, DrawModes.DrawLines,
new PointF(1000, f_tan * 1000),
new PointF(-1000, -f_tan * 1000));
for (float percent = 0; ; percent += .05f)
{
int id1 = df.AddPolygon(Color.Black, DrawModes.DrawLines,
new PointF(1000 + max.X * percent, -1 / f_tan * 1000 + max.Y * percent),
new PointF(-1000 + max.X * percent, 1 / f_tan * 1000 + max.Y * percent));
int id2 = df.AddPolygon(Color.Black, DrawModes.DrawLines,
new PointF(1000 + min.X * percent, -1 / f_tan * 1000 + min.Y * percent),
new PointF(-1000 + min.X * percent, 1 / f_tan * 1000 + min.Y * percent));
//int id1 = df.AddPolygon(Color.Orange, DrawModes.DrawLines,
// new PointF(1000 + max.X * percent, -1 / f_tan * 1000 + max.Y * percent),
// new PointF(-1000 + max.X * percent, 1 / f_tan * 1000 + max.Y * percent));
//int id2 = df.AddPolygon(Color.CornflowerBlue, DrawModes.DrawLines,
// new PointF(1000 + min.X * percent, -1 / f_tan * 1000 + min.Y * percent),
// new PointF(-1000 + min.X * percent, 1 / f_tan * 1000 + min.Y * percent));
if (percent >= 0.99f)
{
break;
}
df.Update2();
Application.DoEvents();
df.RemoveGraphic(id2);
df.RemoveGraphic(id1);
}
//df.AddPolygon(Color.Orange, 3f, DrawModes.DrawPoints, new PointF(max.X, max.Y));
//df.AddPolygon(Color.CornflowerBlue, 3f, DrawModes.DrawPoints, new PointF(min.X, min.Y));
df.AddPolygon(Color.Black, 3f, DrawModes.DrawPoints, new PointF(max.X, max.Y));
df.AddPolygon(Color.Black, 3f, DrawModes.DrawPoints, new PointF(min.X, min.Y));
df.Show();
df.Update2();
}
private void tool_d3f_Click(object sender, EventArgs e)
{
try
{
a = float.Parse(textBoxA.Text);
b = float.Parse(textBoxB.Text);
}
catch (FormatException)
{
MessageBox.Show("Parsing error, aborted.");
return;
}
if ((!checkBoxReuse.Checked) || (dForm == null))
{
dForm = new DekartForm(75, 75, 25, 150);
dForm.Size = new Size(400,
Screen.PrimaryScreen.Bounds.Height - 50 /*560*/);
dForm.Top = 5;
}
else
{
dForm.RemoveAllGraphics();
}
dForm.Text = "'Third derivate' | " +
"Green - numeric | " +
"Blue - analytic | " +
"Red - error o(h^2) | " +
"Magenta - error o(h^4)";
dForm.AddGraphic(d3f_numeric2, a, b, DrawModes.DrawLines,
Color.Green);
dForm.AddGraphic(d3f_numeric4, a, b, DrawModes.DrawLines,
Color.Olive);
dForm.AddGraphic(d3f_analytic, a, b, DrawModes.DrawLines,
Color.Blue);
dForm.AddGraphic(d3f_error2, a, b, DrawModes.DrawLines,
Color.Red);
dForm.AddGraphic(d3f_error4, a, b, DrawModes.DrawLines,
Color.Magenta);
dForm.Show();
}
void dfSFPeriodic_MouseClick(object sender, MouseEventArgs e)
{
if (e.Button == MouseButtons.Right)
{
if (ActiveMdiChild is FormChild)
{
if (clickSentinels == null)
{
clickSentinels = new List <int>(100);
}
DekartForm df = (sender as DekartForm);
int pos = (int)(df.MouseMathLocation.X);
if (pos < 0)
{
return;
}
if (pos > (ActiveMdiChild as FormChild).DataAsRow.Length - 2)
{
return;
}
if (clickSentinels.Contains(pos))
{
return;
}
clickSentinels.Add(pos);
PointF[] pts = new PointF[2];
pts[0].X = pos + 0.5f;
pts[1].X = pos + 0.5f;
pts[0].Y = 0.5f;
pts[1].Y = -0.5f;
df.AddPolygon(Color.Red, DrawModes.DrawLines, pts);
df.Use_IsVisible = false;
df.Update2();
}
}
}
private void buttonChe_Click(object sender, EventArgs e)
{
try
{
a = float.Parse(textBoxA.Text);
b = float.Parse(textBoxB.Text);
}
catch (FormatException)
{
MessageBox.Show("Parsing error, aborted.");
return;
}
n = (int)numericN.Value;
float h = (b - a) / n;
givenPoints = new PointF[n + 1];
// fill table givenPoints with known values
for (int i = 0; i <= n; i++)
{
double ksi = Math.Cos(Math.PI * (2 * i + 1) / (2 * n + 2));
double xi = (a + b) / 2.0 - (b - a) / 2.0 * ksi;
givenPoints[i].X = (float)xi;
givenPoints[i].Y = (float)f(givenPoints[i].X);
}
DekartForm df = new DekartForm(150, 150, 50, 430);
df.Size = new Size(440, 540);
df.Text = "n = " + n.ToString() + " | Red - error | " +
"Olive - Chebyshev's polynom | Green - f(x)";
df.AddGraphic(new DoubleFunction(lagrange_err), a, b, DrawModes.DrawLines,
Color.Red);
df.AddGraphic(new DoubleFunction(lagrange), a, b, DrawModes.DrawLines,
Color.Olive);
df.AddGraphic(new DoubleFunction(f), a, b, DrawModes.DrawPoints,
Color.Green);
df.Show(); //.DrawAllGraphics();
}
private void buttonSysFailProgress_Click(object sender, EventArgs e)
{
if (ActiveMdiChild is FormChild)
{
FormChild activeMdiChild = ActiveMdiChild as FormChild;
PointF[] pts = new PointF[activeMdiChild.DataAsRow.Length];
for (int i = 0; i < pts.Length; i++)
{
pts[i].X = i;
pts[i].Y = (float)activeMdiChild.DataAsRow[i];
}
DekartForm df = new DekartForm(30, 30, 100, 300);
df.AddPolygon(Color.Green, 2f, DrawModes.DrawLines, pts);
df.MouseClick += new MouseEventHandler(dfSFProgress_MouseClick);
df.Use_IsVisible = false;
df.Show();
df.Update2();
}
}
private void tool_df_Click(object sender, EventArgs e)
{
try
{
a = float.Parse(textBoxA.Text);
b = float.Parse(textBoxB.Text);
}
catch (FormatException)
{
MessageBox.Show("Parsing error, aborted.");
return;
}
if ((!checkBoxReuse.Checked) || (dForm == null))
{
dForm = new DekartForm(150, 150, 50, 200);
dForm.Size = new Size(730, 560);
}
else
{
dForm.RemoveAllGraphics();
}
dForm.Text = "'First derivate' | " +
"Green - numeric | " +
"Blue - analytic | " +
"Red - error";
dForm.AddGraphic(df_numeric2, a, b, DrawModes.DrawLines,
Color.Green);
dForm.AddGraphic(df_numeric4, a, b, DrawModes.DrawLines,
Color.Olive);
dForm.AddGraphic(df_analytic, a, b, DrawModes.DrawLines,
Color.Blue);
dForm.AddGraphic(df_error2, a, b, DrawModes.DrawLines,
Color.Red);
dForm.AddGraphic(df_error4, a, b, DrawModes.DrawLines,
Color.Magenta);
dForm.Show();
}
private void buttonNewtone_Click(object sender, EventArgs e)
{
try
{
a = float.Parse(textBoxA.Text);
b = float.Parse(textBoxB.Text);
}
catch (FormatException)
{
MessageBox.Show("Parsing error, aborted.");
return;
}
n = (int)numericN.Value;
float h = (b - a) / n;
givenPoints = new PointF[n + 1];
// fill table givenPoints with known values
for (int i = 0; i <= n; i++)
{
givenPoints[i].X = a + i * h;
givenPoints[i].Y = (float)f(givenPoints[i].X);
}
DekartForm df = new DekartForm(150, 150, 50, 430);
df.Size = new Size(440, 540);
df.Text = "n = " + n.ToString() + " | Red - error | " +
"Olive - Newton's interpolation polynom | Green - f(x)";
df.AddGraphic(new DoubleFunction(newtone_err), a, b, DrawModes.DrawLines,
Color.Red);
df.AddGraphic(new DoubleFunction(newtone), a, b, DrawModes.DrawLines,
Color.Olive);
df.AddGraphic(new DoubleFunction(f), a, b, DrawModes.DrawPoints,
Color.Green);
df.Show(); //.DrawAllGraphics();
}
private void button1_Click(object sender, EventArgs e)
{
DekartForm df = new DekartForm(30, 30, 200, 200);
List <PointF> pts = new List <PointF>();
double x1 = -3;
double x2 = 3;
double hx = 0.05;
double y1 = -3;
double y2 = 3;
double hy = 0.05;
for (y = y1; y < y2; y += hy)
{
double[] rootX = Iteration(fy0, x1, x2, hx);
for (int i = 0; i < rootX.Length; i++)
{
pts.Add(new PointF((float)rootX[i], (float)y));
}
}
for (x = x1; x < x2; x += hx)
{
double[] rootY = Iteration(fx0, y1, y2, hy);
for (int i = 0; i < rootY.Length; i++)
{
pts.Add(new PointF((float)x, (float)rootY[i]));
}
}
df.AddPolygon(Color.Gray, DrawModes.DrawPoints, pts.ToArray());
df.Show();
df.Update2();
}
void solver_DebugPolygonEvent(FractionPoint[] polygon)
{
PointF[] pts = new PointF[polygon.Length];
for (int i = 0; i < polygon.Length; i++)
{
pts[i] = new PointF((float)polygon[i].X.Value, (float)polygon[i].Y.Value);
}
if (df == null)
{
df = new DekartForm(75, 75, 250, 200);
df.Text = this.Text + " - графическое решение";
df.FormClosed += new FormClosedEventHandler(delegate(object sender, FormClosedEventArgs e)
{
df = null;
});
//df.WindowState = FormWindowState.Maximized;
}
//df.RemoveAllGraphics();
df.AddPolygon(Color.Black, DrawModes.DrawFilledPolygon, pts);
df.Show();
df.Update2();
}
private void AutoFindRoots()
{
float x1, x2;
double eps;
errorProvider.Clear();
try
{ eps = float.Parse(textE.Text); }
catch (FormatException)
{ errorProvider.SetError(textE, "Wrong float number"); return; }
if (eps < 0)
{
errorProvider.SetError(textE, "Has to be > 0"); return;
}
try
{ x1 = float.Parse(textX1.Text); }
catch (FormatException)
{ errorProvider.SetError(textX1, "Wrong float number"); return; }
try
{ x2 = float.Parse(textX2.Text); }
catch (FormatException)
{ errorProvider.SetError(textX2, "Wrong float number"); return; }
float step = (x2 - x1) / 100f;
DekartForm dForm;
dForm = new DekartForm(100, 100, 175, 300);
dForm.Use_IsVisible = false;
dForm.Size = new Size(350, 600);
dForm.CenterView();
listRoots.Items.Clear();
listY.Items.Clear();
roots = new List <double>();
for (float x = x1; x < x2; x += step)
{
double res = double.NaN;
List <PointF[]> lines = null;
switch (selectedSolMeth)
{
#region Method Still Point
case SolutionMethod.StillPoint:
if (dForm.CountGraphics == 0)
{
dForm.AddGraphic(g, -5f, 5f,
DrawModes.DrawLines, Color.Green);
dForm.AddGraphic(f, -5f, 5f,
DrawModes.DrawLines, Color.Gray);
dForm.AddGraphic(bisectress, -5f, 5f,
DrawModes.DrawLines, Color.Blue);
}
res = FindRoot.StillPointMethod(h, x, eps, out lines, true);
break;
#endregion
#region Method Bisection
case SolutionMethod.Bisection:
if (dForm.CountGraphics == 0)
{
dForm.AddGraphic(f, -5f, 5f, DrawModes.DrawLines, Color.Green);
}
res = FindRoot.Bisection(h, x, x + step, eps, out lines, true);
break;
#endregion
//#region Method Newtone-Rafson
//case SolutionMethod.NewtoneRafson:
// MessageBox.Show("How to evaluate dh/dx?");
// return;
// if ( dForm.CountGraphics == 0 )
// dForm.AddGraphic(f, -5f, 5f, DrawModes.DrawLines, Color.Green);
// res = FindRoot.NewtoneRafson(f, df, x, eps, out lines);
// break;
//#endregion
#region Method Cuttings
case SolutionMethod.Cuttings:
if (dForm.CountGraphics == 0)
{
dForm.AddGraphic(f, -5f, 5f, DrawModes.DrawLines, Color.Green);
}
res = FindRoot.Cuttings(h, x, x + step, eps, out lines, true);
break;
#endregion
//#region Method Hord
//case SolutionMethod.Hord:
// if ( dForm.CountGraphics == 0 )
// dForm.AddGraphic(f, -5f, 5f, DrawModes.DrawLines, Color.Green);
// res = FindRoot.Hord(f, d2f, x, x + step, eps, out lines);
// break;
//#endregion
#region Method Muller
case SolutionMethod.Muller:
if (dForm.CountGraphics == 0)
{
dForm.AddGraphic(f, -5f, 5f, DrawModes.DrawLines, Color.Green);
}
res = FindRoot.Muller(h, x - step, x, x + step, eps, ref dForm, true);
lines = null;
break;
#endregion
default:
return;
}
if (lines != null)
{
foreach (PointF[] pts in lines)
{
dForm.AddPolygon(Color.Red, DrawModes.DrawLines, pts);
}
}
if (double.IsNaN(res))
{
continue;
}
if ((res > x2) || (res < x1))
{
continue;
}
roots.Add(res);
}
roots.Sort();
foreach (double p in roots)
{
listRoots.Items.Add("x" + (listRoots.Items.Count + 1) + " = "
+ p.ToString("F16"));
listY.Items.Add("y" + (listY.Items.Count + 1) + " = "
+ f(p).ToString("F16"));
}
dForm.Show();
dForm.Update2();
}
private void buttonSolve_Click(object sender, EventArgs e)
{
if (checkAutoSearch.Checked)
{
AutoFindRoots(); return;
}
double p0, p1, p2;
double eps;
errorProvider.Clear();
try
{ eps = float.Parse(textE.Text); }
catch (FormatException)
{ errorProvider.SetError(textE, "Wrong float number"); return; }
if (eps < 0)
{
errorProvider.SetError(textE, "Has to be > 0");
return;
}
double res = double.NaN;
DekartForm dForm = null;
List <PointF[]> lines = null;
switch (selectedSolMeth)
{
#region Method Still Point
case SolutionMethod.StillPoint:
try
{ p0 = float.Parse(textP0.Text); }
catch (FormatException)
{ errorProvider.SetError(textP0, "Wrong float number"); return; }
dForm = new DekartForm(100, 100, 320, 300);
dForm.Size = new Size(700, 500);
dForm.AddGraphic(g, -5f, 5f, DrawModes.DrawLines, Color.Green);
dForm.AddGraphic(f, -5f, 5f, DrawModes.DrawLines, Color.Gray);
dForm.AddGraphic(bisectress, -5f, 5f, DrawModes.DrawLines, Color.Blue);
res = FindRoot.StillPointMethod(f, p0, eps, out lines, false);
break;
#endregion
#region Method Bisection
case SolutionMethod.Bisection:
try
{ p0 = float.Parse(textP0.Text); }
catch (FormatException)
{ errorProvider.SetError(textP0, "Wrong float number"); return; }
try
{ p1 = float.Parse(textP1.Text); }
catch (FormatException)
{ errorProvider.SetError(textP1, "Wrong float number"); return; }
dForm = new DekartForm(100, 100, 175, 300);
dForm.Use_IsVisible = false;
dForm.Size = new Size(350, 600);
dForm.AddGraphic(f, -5f, 5f, DrawModes.DrawLines, Color.Green);
res = FindRoot.Bisection(f, p0, p1, eps, out lines, false);
break;
#endregion
#region Method Newtone-Rafson
case SolutionMethod.NewtoneRafson:
try
{ p0 = float.Parse(textP0.Text); }
catch (FormatException)
{ errorProvider.SetError(textP0, "Wrong float number"); return; }
dForm = new DekartForm(100, 100, 300, 300);
dForm.Size = new Size(750, 600);
dForm.Use_IsVisible = false;
dForm.AddGraphic(f, -5f, 5f, DrawModes.DrawLines, Color.Green);
res = FindRoot.NewtoneRafson(f, df, p0, eps, out lines, false);
break;
#endregion
#region Method Cuttings
case SolutionMethod.Cuttings:
try
{ p0 = float.Parse(textP0.Text); }
catch (FormatException)
{ errorProvider.SetError(textP0, "Wrong float number"); return; }
try
{ p1 = float.Parse(textP1.Text); }
catch (FormatException)
{ errorProvider.SetError(textP1, "Wrong float number"); return; }
dForm = new DekartForm(100, 100, 300, 300);
dForm.Size = new Size(750, 600);
dForm.Use_IsVisible = false;
dForm.AddGraphic(f, -5f, 5f, DrawModes.DrawLines, Color.Green);
res = FindRoot.Cuttings(f, p0, p1, eps, out lines, false);
break;
#endregion
#region Method Hord
case SolutionMethod.Hord:
try
{ p0 = float.Parse(textP0.Text); }
catch (FormatException)
{ errorProvider.SetError(textP0, "Wrong float number"); return; }
try
{ p1 = float.Parse(textP1.Text); }
catch (FormatException)
{ errorProvider.SetError(textP1, "Wrong float number"); return; }
dForm = new DekartForm(100, 100, 300, 300);
dForm.Size = new Size(750, 600);
dForm.Use_IsVisible = false;
dForm.AddGraphic(f, -5f, 5f, DrawModes.DrawLines, Color.Green);
res = FindRoot.Hord(f, d2f, p0, p1, eps, out lines, false);
break;
#endregion
#region Method Muller
case SolutionMethod.Muller:
try
{ p0 = float.Parse(textP0.Text); }
catch (FormatException)
{ errorProvider.SetError(textP0, "Wrong float number"); return; }
try
{ p1 = float.Parse(textP1.Text); }
catch (FormatException)
{ errorProvider.SetError(textP1, "Wrong float number"); return; }
try
{ p2 = float.Parse(textP2.Text); }
catch (FormatException)
{ errorProvider.SetError(textP2, "Wrong float number"); return; }
dForm = new DekartForm(100, 100, 300, 300);
dForm.Size = new Size(750, 600);
dForm.Use_IsVisible = false;
dForm.AddGraphic(f, -5f, 5f, DrawModes.DrawLines, Color.Green);
res = FindRoot.Muller(f, p0, p1, p2, eps, ref dForm, false);
lines = null;
break;
#endregion
default:
return;
}
#region Print results
if (lines != null)
{
foreach (PointF[] pts in lines)
{
dForm.AddPolygon(Color.Red, DrawModes.DrawLines, pts);
}
}
dForm.Show();
dForm.Update2();
listRoots.Items.Clear();
listY.Items.Clear();
if (double.IsNaN(res))
{
MessageBox.Show("Корни не найдены.");
return;
}
listRoots.Items.Add("x" + (listRoots.Items.Count + 1) + " = "
+ res.ToString("F16"));
listY.Items.Add("y" + (listY.Items.Count + 1) + " = "
+ f(res).ToString("F16"));
#endregion
}
void dfSFPriodic_dfClosed(object sender, EventArgs e)
{
float oneThird = 1f / 3f;
if (ActiveMdiChild is FormChild)
{
FormChild activeMdiChild = ActiveMdiChild as FormChild;
double[] data = activeMdiChild.DataAsRow;
DekartForm df = dform;
PointF[] pts;
if (!clickSentinels.Contains(data.Length - 1))
{
clickSentinels.Add(data.Length - 1);
}
double[] m = new double[clickSentinels.Count];
clickSentinels.Sort();
if (grIds == null)
{
grIds = new List <int>(100);
}
else
{
try
{
for (int i = 0; i < grIds.Count; i++)
{
df.RemoveGraphic(grIds[i]);
for (int l = 0; l < grIds.Count; l++)
{
if (grIds[l] > grIds[i])
{
grIds[l]--;
}
}
}
}
catch (ArgumentOutOfRangeException) { }
grIds.Clear();
}
int first = 0;
for (int i = 0; i < clickSentinels.Count; i++)
{
pts = new PointF[2];
for (int k = first; k <= clickSentinels[i]; k++)
{
m[i] += data[k];
}
m[i] /= clickSentinels[i] - first + 1;
pts[0].X = first - oneThird;
pts[1].X = clickSentinels[i] + oneThird;
pts[0].Y = pts[1].Y = (float)m[i];
grIds.Add(df.AddPolygon(Color.Red, 2f, DrawModes.DrawLines, pts));
first = clickSentinels[i] + 1;
}
//pts = new PointF[data.Length];
//for (int i = 0; i < data.Length; i++)
//{
// pts[i].X = i;
// pts[i].Y = (float)data[i];
//}
//df.AddPolygon(Color.Green, 3f, DrawModes.DrawPoints, pts);
df.Use_IsVisible = false;
df.Show();
df.Update2();
}
}
private void RollStar_Click(object sender, EventArgs e)
{
DekartForm dForm = new DekartForm(150, 150, 180, 175);
dForm.Use_IsVisible = false;
dForm.Size = new Size(400, 425);
dForm.Text = "f(x) = 5sin(x^3)-x";
dForm.Show();
int k = 7;
int tmpID = -1;
int grnVal = 150;
int grnDx = 1;
Random rnd = new Random((int)(DateTime.Now.Ticks));
for (float phi = -0.01f; !dForm.IsDisposed;
//phi += phi/5 ) //for !crazy!
phi += -0.008f) //normal
{
grnVal += ((grnVal < 100) || (grnVal > 200))
? grnDx *= -1 : grnDx;
if (phi < -2 * Math.PI)
{
phi += 2 * (float)Math.PI;
}
int l = 0;
PointF[] pts = new PointF[k * k];
float r = 0.5f * (float)Math.Abs(Math.Cos(3 * phi)) + 0.5f;
//Math.Abs(Math.Cos(t) + 0.5);
for (int i = 0; i < k; i++)
{
PointF pti = new PointF(
r * (float)Math.Cos(2 * i * Math.PI / k + phi),
r * (float)Math.Sin(2 * i * Math.PI / k + phi));
for (int j = 0; j < i; j++)
{
if ((j == i - 1) ||
(j == 0 && i == k - 1))
{
continue;
}
pts[l++] = pti;
pts[l++] = new PointF(
r * (float)Math.Cos(2 * j * Math.PI / k + phi),
r * (float)Math.Sin(2 * j * Math.PI / k + phi)
);
}
}
Array.Resize <PointF>(ref pts, l);
Color cl = Color.FromArgb(100, grnVal, 100);
if (tmpID >= 0)
{
dForm.RemoveGraphic(tmpID);
}
tmpID = dForm.AddPolygon(cl, 2f, DrawModes.DrawLines, pts);
dForm.Update2();
//.DrawAllGraphics();
Application.DoEvents();
}
}
public Form1()
{
InitializeComponent();
df = new DekartForm(100, 100, 300, 150);
df.CoodrinateSystemDrawn += new PaintEventHandler(df_CoodrinateSystemDrawn);
}
private void buttonSolve_Click(object sender, EventArgs e)
{
double x0, y0;
double eps;
bool speedUp;
#region get parameters from form
errorProvider.Clear();
try { eps = float.Parse(textE.Text); }
catch (FormatException) {
errorProvider.SetError(textE, "Wrong float number");
return;
}
if (eps < 0)
{
errorProvider.SetError(textE, "Has to be > 0");
return;
}
speedUp = checkSpeedUp.Checked;
#endregion
double[] res = new double[] { double.NaN, double.NaN };
DekartForm dForm = null;
List <PointF[]> lines = null;
switch (selectedSolMeth)
{
#region Method Simple Iteration
case SolutionMethod.StillPoint:
try { x0 = float.Parse(textX0.Text); }
catch (FormatException) { errorProvider.SetError(textX0, "Wrong float number"); return; }
try { y0 = float.Parse(textY0.Text); }
catch (FormatException) { errorProvider.SetError(textY0, "Wrong float number"); return; }
dForm = new DekartForm(200, 200, 200, 300);
dForm.Size = new Size(750, 600);
dForm.Use_IsVisible = false;
dForm.AddGraphic(f1x, f1yS, -5f, 5f, DrawModes.DrawLines, Color.Green);
dForm.AddGraphic(f2xS, f2y, -5f, 5f, DrawModes.DrawLines, Color.Blue);
res = FindSysRoot.StillPointMethod(
new double[] { x0, y0 },
new DoubleFunction[] { g1S, g2S },
eps, out lines, speedUp, false);
break;
#endregion
#region Method Newtone
case SolutionMethod.Newtone:
try { x0 = float.Parse(textX0.Text); }
catch (FormatException) { errorProvider.SetError(textX0, "Wrong float number"); return; }
try { y0 = float.Parse(textY0.Text); }
catch (FormatException) { errorProvider.SetError(textY0, "Wrong float number"); return; }
dForm = new DekartForm(100, 100, 300, 300);
dForm.Size = new Size(750, 600);
dForm.Use_IsVisible = false;
dForm.AddGraphic(f1x, f1y, -5f, 5f, DrawModes.DrawLines, Color.Green);
dForm.AddGraphic(f2x, f2y, -5f, 5f, DrawModes.DrawLines, Color.Blue);
DoubleMultiDimFunction[,] J = new DoubleMultiDimFunction[2, 2];
J[0, 0] = df1x;
J[0, 1] = df1y;
J[1, 0] = df2x;
J[1, 1] = df2y;
DoubleMultiDimFunction[] F = new DoubleMultiDimFunction[2];
F[0] = f1;
F[1] = f2;
res = FindSysRoot.Newtone(F, J,
new double[] { x0, y0 }, eps, out lines, false);
break;
#endregion
default:
return;
}
#region Print results
if (lines != null)
{
foreach (PointF[] pts in lines)
{
dForm.AddPolygon(Color.Red, DrawModes.DrawLines, pts);
}
}
dForm.Show();
dForm.Update2();
listRoots.Items.Clear();
listY.Items.Clear();
if (double.IsNaN(res[0]) || double.IsNaN(res[1]))
{
MessageBox.Show("Корни не найдены.");
return;
}
listRoots.Items.Add("x" + (listRoots.Items.Count + 1) + " = "
+ res[0].ToString("F16"));
listY.Items.Add("y" + (listY.Items.Count + 1) + " = "
+ res[1].ToString("F16"));
#endregion
}
private void buttonDraw_Click(object sender, EventArgs e)
{
errorProvider1.Clear();
bool ok = true;
try
{
x1 = float.Parse(textBox1.Text);
}
catch (FormatException)
{
errorProvider1.SetError(textBox1, "Неверный формат вещественного числа");
ok = false;
}
try
{
x2 = float.Parse(textBox2.Text);
}
catch (FormatException)
{
errorProvider1.SetError(textBox2, "Неверный формат вещественного числа");
ok = false;
}
if (!ok)
{
return;
}
if (x1 > x2)
{
float t = x1;
x1 = x2;
x2 = t;
textBox1.Text = x1.ToString();
textBox2.Text = x2.ToString();
}
listBox1.Items.Add(string.Format("Интервал: [{0}; {1}]", x1, x2));
DekartForm df = new DekartForm(50, 50, 30, 150);
df.Text = "y ≈ sin(x)";
df.AddGraphic(new DoubleFunction(delegate(double x)
{
double a, sum = x;
uint n = 2;
a = x;
do
{
a *= -x * x / n / (n + 1);
sum += a;
n += 2;
}while (Math.Abs(a) >= eps);
listBox1.Items.Add("x = " + x.ToString("f3") + ", n = " + n.ToString());
return(sum);
}), x1, x2, DrawModes.DrawPoints, Color.Green);
df.Show();
df.Update2();
}
private void FindRoot()
{
Complex res = Complex.NaN;
#region prepare dform
if (dForm == null)
{
dForm = new DekartForm(100, 100, 300, 300);
dForm.ClientSize = new Size(600, 600);
dForm.Use_IsVisible = false;
dForm.FormClosed += new FormClosedEventHandler(delegate(object s, FormClosedEventArgs eva)
{
dForm = null;
});
}
else
{
dForm.RemoveAllGraphics();
}
#endregion
List <Root> roots = new List <Root>();
List <PointF> pts = new List <PointF>();
List <Color> colors = new List <Color>();
Color[] baseColors = new Color[] {
Color.Red,
Color.Orange,
Color.Yellow,
Color.Green,
Color.LightBlue,
Color.Blue,
Color.Violet
};
double y1 = x1, y2 = x2;
DoubleOfVectorFunction[] dovf = new DoubleOfVectorFunction[] { f1, f2 };
Complex c = new Complex(0);
for (double y = y1; y < y2; y += hy)
{
for (double x = x1; x < x2; x += hx)
{
int iterations;
float percent;
c.re = x;
c.im = y;
res = Newtone(dovf, c, eps, out iterations);
bool inRange = true;
inRange &= res.re > x1;
inRange &= res.re < x2;
inRange &= res.im > y1;
inRange &= res.im < y2;
if (Complex.IsNaN(res) || !inRange)
{
colors.Add(Color.Black);
pts.Add(new PointF((float)x, (float)y));
}
else
{
if (roots.Count == 0)
{
Root newRoot;
newRoot.color = baseColors[roots.Count % baseColors.Length];
newRoot.value = res;
roots.Add(newRoot);
}
percent = iterations / 15f;
if (percent > 1f)
{
percent = 1f;
}
bool needAdd = true;
foreach (Root r in roots)
{
if (Near(r.value, res))
{
colors.Add(ColorModifer.Brightness(r.color, percent));
pts.Add(new PointF((float)x, (float)y));
needAdd = false;
break;
}
}
if (needAdd)
{
Root newRoot;
newRoot.color = baseColors[roots.Count % baseColors.Length];
newRoot.value = res;
roots.Add(newRoot);
colors.Add(ColorModifer.Brightness(newRoot.color, percent));
pts.Add(new PointF((float)x, (float)y));
}
}
}
}
DotGraphic dotGraphic = new DotGraphic(pts.ToArray(), colors.ToArray());
dotGraphic.CurrentColorSchema = new MathGraphic.ColorSchema(
Color.Black, Color.DimGray, Color.DimGray, Color.Gray);
dForm.AddGraphic(dotGraphic);
MathGraphic mg;
mg = new MathGraphic(Color.White, DrawModes.DrawLines, f1x, f1y,
-5f, 5f, 0.01f);
dForm.AddGraphic(mg);
mg = new MathGraphic(Color.White, DrawModes.DrawLines, f2x, f2y,
-5f, 5f, 0.01f);
dForm.AddGraphic(mg);
dForm.Show();
dForm.Update2();
foreach (Root z in roots)
{
listRoots.Items.Add("z" + (listRoots.Items.Count + 1) + " = "
+ z.value.ToString("F6"));
listY.Items.Add("f,g" + (listY.Items.Count + 1) + " = "
+ f1(z.value.re, z.value.im).ToString("F6") + ", "
+ f2(z.value.re, z.value.im).ToString("F6"));
}
}
void dfSFConst_MouseClick(object sender, MouseEventArgs e)
{
if (e.Button == MouseButtons.Right)
{
if (ActiveMdiChild is FormChild)
{
FormChild activeMdiChild = ActiveMdiChild as FormChild;
(sender as Form).Close();
int last_i1;
last_i1 = (int)(sender as DekartForm).MouseMathLocation.X;
//MessageBox.Show(last_i1.ToString());
double[] data = activeMdiChild.DataAsRow;
double[] data1 = new double[last_i1 + 1];
double[] data2 = new double[data.Length - data1.Length];
for (int i = 0; i <= last_i1; i++)
{
data1[i] = data[i];
}
for (int i = last_i1 + 1; i < data.Length; i++)
{
data2[i - (last_i1 + 1)] = data[i];
}
PointF[] pts = new PointF[data.Length];
PointF[] pts0 = new PointF[2];
PointF[] pts1 = new PointF[2];
PointF[] pts2 = new PointF[2];
for (int i = 0; i < pts.Length; i++)
{
pts[i].X = i;
pts[i].Y = (float)data[i];
}
float m0 = (float)StatisticsProcessor.Srednee(data);
float m1 = (float)StatisticsProcessor.Srednee(data1);
float m2 = (float)StatisticsProcessor.Srednee(data2);
float oneThird = 1f / 3f;
pts0[0].X = 0 - oneThird; pts0[0].Y = m0;
pts0[1].X = pts.Length - 1 + oneThird; pts0[1].Y = m0;
pts1[0].X = 0 - oneThird; pts1[0].Y = m1;
pts1[1].X = last_i1 + oneThird; pts1[1].Y = m1;
pts2[0].X = last_i1 + 1 - oneThird; pts2[0].Y = m2;
pts2[1].X = data.Length - 1 + oneThird; pts2[1].Y = m2;
DekartForm df = new DekartForm(30, 30, 100, 150);
df.AddPolygon(Color.Green, 3f, DrawModes.DrawPoints, pts);
df.AddPolygon(Color.Pink, 2f, DrawModes.DrawLines, pts0);
df.AddPolygon(Color.Red, 2f, DrawModes.DrawLines, pts1);
df.AddPolygon(Color.Red, 2f, DrawModes.DrawLines, pts2);
df.Use_IsVisible = false;
df.MouseClick += new MouseEventHandler(dfSFConst_MouseClick);
df.Show();
df.Update2();
}
}
}
private void buttonSplines_Click(object sender, EventArgs e)
{
try
{
a = float.Parse(textBoxA.Text);
b = float.Parse(textBoxB.Text);
}
catch (FormatException)
{
MessageBox.Show("Parsing error, aborted.");
return;
}
n = (int)numericN.Value;
float h = (b - a) / n;
givenPoints = new PointF[n + 1];
// fill table givenPoints with known values
for (int i = 0; i <= n; i++)
{
givenPoints[i].X = a + i * h;
givenPoints[i].Y = (float)f(givenPoints[i].X);
}
double[] P = new double[n + 1];
double[] q = new double[n + 1];
m = new double[n + 1];
double[] _a = new double[n];
double[] _b = new double[n];
double[] _c = new double[n];
double[] _v = new double[n];
m[0] = m[n] = 0;
_b[0] = 2 * (H(0) + H(1));
for (int k = 0; k < n; k++)
{
_a[k] = H(k);
if (k > 0)
{
_b[k] = 2 * (H(k - 1) + H(k));
}
if (k < n - 1)
{
_c[k] = H(k + 1);
}
if (k > 0)
{
_v[k] = 6 * (D(k) - D(k - 1));
}
}
P[n - 1] = givenPoints[n - 1].Y / H(n - 1);
q[n - 1] = givenPoints[n].Y / H(n - 1);
for (int k = n - 1; k > 0; k--)
{
P[k - 1] = -_a[k] / (_b[k] + _c[k] * P[k]);
q[k - 1] = (_v[k] - _c[k] * q[k]) / (_b[k] + _c[k] * P[k]);
}
m[1] = (_v[1] - _c[1] * q[1]) / (_b[1] + _c[1] * P[1]);
for (int k = 1; k < n - 1; k++)
{
m[k + 1] = P[k] * m[k] + q[k];
}
DekartForm df = new DekartForm(150, 150, 50, 430);
df.Size = new Size(440, 540);
df.Text = "n = " + n.ToString() + " | Red - error | " +
"Olive - Splines (natural), Green - f(x)";
df.AddGraphic(new DoubleFunction(splines_err), a, b, DrawModes.DrawLines,
Color.Red);
df.AddGraphic(new DoubleFunction(splines), a, b, DrawModes.DrawLines,
Color.Olive);
df.AddGraphic(new DoubleFunction(f), a, b, DrawModes.DrawPoints,
Color.Green);
df.Show(); //.DrawAllGraphics();
}
