public static string lagrang(double[] x, int node, double[] y)
{
Polynomial temp = new Polynomial();
Polynomial onepoly = new Polynomial();
bool loop = false;
for (int i = 0; i < node; i++)
{
for (int j = 0; j < node; j++)
{
loop = false;
if (i != j)
{
loop = true;
temp = new Polynomial();
double amthallagrang = x[i] - x[j];
temp = Polynomial.insert(y[i] * amthallagrang, 1, temp);
temp = Polynomial.insert(y[i] * amthallagrang * -x[j], 0, temp);
}
if (loop)
{
onepoly = Polynomial.add(temp, onepoly);
}
}
}
return(Polynomial.tostring(onepoly));
}
private void Calculate_Click(object sender, EventArgs e)
{
string Method = comboBox1.Text;
string[] allMethod = { "newton" };
string AnyOfMethod = Array.Find(allMethod, s => s.Equals(Method));
if ((Method != AnyOfMethod))
{
MessageBox.Show("This Is Not Method", "Error", MessageBoxButtons.OK, MessageBoxIcon.Error);
}
else
{
bool XarrayZero = false;
bool YarrayZero = false;
xcolum = CreatXarray(ref ThereIsErrorX);
ycolum = CreatYarray(ref ThereIsErrorY);
XarrayZero = Share.IfallZero(xcolum);
YarrayZero = Share.IfallZero(ycolum);
if ((ThereIsErrorX != true) && (ThereIsErrorY != true) && (XarrayZero != true) && (YarrayZero != true))
{
switch (Method)
{
case "newton":
{
textBox2.Visible = true;
textBox3.Visible = true;
Polynomial newton = new Polynomial();
newton = deriveationclass.Newton(ycolum, xcolum[1] - xcolum[0], NumOfNode, xcolum[0]);
textBox2.Text = Polynomial.tostring(newton);
newton = deriveationclass.Newtonsecond(ycolum, xcolum[1] - xcolum[0], NumOfNode,
xcolum[0]);
textBox3.Text = Polynomial.tostring(newton);
}
break;
}
}
}
}
private void Send_Click(object sender, EventArgs e)
{
bool XarrayZero = false;
bool YarrayZero = false;
string Method = comboBox1.Text;
string[] allMethod = { "General Methode", "Spline", "Lagrange", "Newton", "Least Square Method" };
if (Method != ".......")
{
xcolum = CreatXarray(ref ThereIsErrorX);
XarrayZero = Share.IfallZero(xcolum);
if (XarrayZero != true)
{
ycolum = CreatYarray(ref ThereIsErrorY);
}
YarrayZero = Share.IfallZero(ycolum);
string AnyOfMethod = Array.Find(allMethod, s => s.Equals(Method));
if ((XarrayZero != true) && (YarrayZero != true) && (ThereIsErrorX != true) && (ThereIsErrorY != true))
{
if ((Method == AnyOfMethod))
{
comboBox1.Enabled = false;
}
else
{
MessageBox.Show("This Is Not Method", "Error", MessageBoxButtons.OK, MessageBoxIcon.Error);
}
}
}
XarrayZero = Share.IfallZero(xcolum);
YarrayZero = Share.IfallZero(ycolum);
switch (Method)
{
case "General Methode":
{
if ((XarrayZero != true) && (YarrayZero != true) && (ThereIsErrorX != true) && (ThereIsErrorY != true))
{
#region General Methode
double[,] matrx;
matrx = new double[NumOfNode, NumOfNode];
matrx = InterpolationClass.CreatVandrmondmatrix(NumOfNode, xcolum);
double determatrx = InterpolationClass.determine(matrx);
double[,] another = new double[NumOfNode, NumOfNode];
Polynomial temp = new Polynomial();
double[] Constant;
Constant = new double[NumOfNode];
for (int j = 0; j < NumOfNode; j++)
{
another = InterpolationClass.creatanothermatrix(j, xcolum, ycolum, NumOfNode);
double deternother = InterpolationClass.determine(another);
Constant[j] = deternother / determatrx;
}
for (int i = 0; i < Constant.Length; i++)
{
temp = Polynomial.insert(Constant[i], i, temp);
}
string result = Polynomial.tostring(temp);
if (MessageBox.Show("If You Have An Internet Connection Click Yes To Show The Function On Net Or Click No To See It Here", "Internet Connection",
MessageBoxButtons.YesNo, MessageBoxIcon.Question) ==
DialogResult.Yes)
{
string url = "http://texify.com/?" + result;
Process.Start(url);
}
else
{
label3.Visible = true;
richTextBox1.Visible = true;
richTextBox1.Text = result;
}
Send.Enabled = false;
Refresh.Visible = true;
#endregion
}
}
break;
case "Least Square Method":
{
if ((XarrayZero != true) && (YarrayZero != true) && (ThereIsErrorX != true) && (ThereIsErrorY != true))
{
#region Least Square Method
int exp = NumOfNode - 1;
double sum;
double[] tableX = new double[2 * exp];
double[] tableY = new double[NumOfNode];
for (int j = 0; j < (2 * exp); j++)
{
sum = 0;
for (int i = 0; i < NumOfNode; i++)
{
sum = sum + Math.Pow(xcolum[i], j + 1);
tableX[j] = sum;
}
}
for (int j = 0; j < NumOfNode; j++)
{
sum = 0;
for (int i = 0; i < NumOfNode; i++)
{
if (j == 0)
{
sum = sum + ycolum[i];
}
else
{
sum = sum + (Math.Pow(xcolum[i], j) * ycolum[i]);
}
tableY[j] = sum;
}
}
double[,] squer = new double[NumOfNode, NumOfNode];
squer[0, 0] = NumOfNode;
for (int i = 1; i < NumOfNode; i++)
{
squer[0, i] = tableX[i - 1];
}
for (int i = 1; i < NumOfNode; i++)
{
for (int j = 0; j < NumOfNode; j++)
{
squer[i, j] = tableX[i + j - 1];
}
}
double[] A = new double[NumOfNode];
double d = InterpolationClass.determine((double[, ])squer.Clone());
for (int j = 0; j < NumOfNode; j++)
{
A[j] = InterpolationClass.ChangeXY((double[, ])squer.Clone(), tableY, j, NumOfNode) / d;
}
Send.Enabled = false;
Refresh.Visible = true;
#endregion
}
}
break;
case "Lagrange":
{
if ((XarrayZero != true) && (YarrayZero != true) && (ThereIsErrorX != true) && (ThereIsErrorY != true))
{
#region Lagrange
{
string result = InterpolationClass.lagrang(xcolum, NumOfNode, ycolum);
if (MessageBox.Show("If You Have An Internet Connection Click Yes To Show The Function On Net Or Click No To See It Here", "Internet Connection",
MessageBoxButtons.YesNo, MessageBoxIcon.Question) ==
DialogResult.Yes)
{
string url = "http://texify.com/?" + result;
Process.Start(url);
}
else
{
label3.Visible = true;
richTextBox1.Visible = true;
richTextBox1.Text = result;
}
}
#endregion
}
}
break;
case "Spline":
{
if ((XarrayZero != true) && (YarrayZero != true) && (ThereIsErrorX != true) && (ThereIsErrorY != true))
{
#region Splin
{
double point = 0;
if ((textBox2.Text != null) && (Share.Isnumber(textBox2.Text)))
{
point = double.Parse(textBox2.Text);
string result = Polynomial.tostring(InterpolationClass.Splin(xcolum, ycolum, NumOfNode, point));
if (MessageBox.Show("If You Have An Internet Connection Click Yes To Show The Function On Net Or Click No To See It Here", "Internet Connection",
MessageBoxButtons.YesNo, MessageBoxIcon.Question) ==
DialogResult.Yes)
{
string url = "http://texify.com/?" + result;
Process.Start(url);
}
else
{
label3.Visible = true;
richTextBox1.Visible = true;
richTextBox1.Text = result;
}
}
else
{
MessageBox.Show("Error Entry", "Error", MessageBoxButtons.OK, MessageBoxIcon.Error);
}
}
#endregion
}
}
break;
case "Newton":
{
if ((XarrayZero != true) && (YarrayZero != true) && (ThereIsErrorX != true) && (ThereIsErrorY != true))
{
#region Newton
double[,] Temp = InterpolationClass.newtonftab(xcolum, ycolum, NumOfNode);
Polynomial Newton = InterpolationClass.newtonemethod(xcolum, ycolum, Temp, NumOfNode);
string result = Polynomial.tostring(Newton);
if (MessageBox.Show("If You Have An Internet Connection Click Yes To Show The Function On Net Or Click No To See It Here", "Internet Connection",
MessageBoxButtons.YesNo, MessageBoxIcon.Question) ==
DialogResult.Yes)
{
string url = "http://texify.com/?" + result;
Process.Start(url);
}
else
{
label3.Visible = true;
richTextBox1.Visible = true;
richTextBox1.Text = result;
}
#endregion
}
}
break;
default:
{
if (Method == ".......")
{
MessageBox.Show("No Method Is Selceted ", "Error", MessageBoxButtons.OK, MessageBoxIcon.Error);
}
}
break;
}
}