private void runButton_Click(object sender, EventArgs e)
{
double a, b, h1, h2;
int n, p;
try
{
a = Convert.ToDouble(aTextBox.Text);
b = Convert.ToDouble(bTextBox.Text);
n = Convert.ToInt32(nTextBox.Text);
}
catch
{
MessageBox.Show("incorrect input.", "Error");
return;
}
p = 100 * n;
h1 = (b - a) / n;
h2 = (b - a) / p;
double[] x = new double[n + 1];
double[] t = new double[p + 1];
for (int i = 0; i < n + 1; i++)
{
x[i] = a + i * h1;
}
for (int i = 0; i < p + 1; i++)
{
t[i] = a + i * h2;
}
mainChart.Series.Clear();
for (int k = 0; k < n + 1; k++)
{
var spline = Bk1(x, x[k], h1);
DrawHelper.DrawGraph(mainChart, spline, x, n, $"B{k},1", Color.FromArgb((10 * k + 100) % 255, 128, 0));
}
//for (int k = 0; k < n + 1; k++)
//{
// var spline = Bk1(t, x[k], h1);
// DrawHelper.DrawGraph(mainChart, spline, t, p, $"B*{k},1", Color.FromArgb((10 * k + 50)%255, 255, 128));
//}
}
private void runButton_Click(object sender, EventArgs e)
{
CheckIfDataValid(out double[] x, out double[] y);
int n = x.Length;
int m = 3;
double[,] matrix = new double[m, m];
double[] vector = new double[m];
for (int i = m - 1; i >= 0; i--)
{
for (int j = m - 1; j >= 0; j--)
{
matrix[i, j] = RowSumForMatrix(n, x, i + j);
}
vector[i] = RowSumForVector(n, y, x, i);
}
double[] rez = GaussMethod.Calculate(m, matrix, vector);
mainChart.Series.Clear();
int p = 100 * n;
double[] approximatedFunc = new double[p];
double[] t = new double[p];
double h = (x[x.Length - 1] - x[0]) / p;
for (int i = 0; i < p; i++)
{
t[i] = x[0] + i * h;
approximatedFunc[i] = Polinom(m, rez, t[i]);
}
DrawHelper.DrawGraph(mainChart, y, x, n - 1, "points", Color.Green);
DrawHelper.DrawGraph(mainChart, approximatedFunc, t, p - 1, "approximated", Color.Red);
}
private void runButton_Click(object sender, EventArgs e)
{
if (!IsFildsValid())
{
return;
}
int n;
try {
n = Convert.ToInt32(nTextBox.Text);
} catch {
errorLabel.Text = "Invalid data";
return;
}
int m = 500;
double[] accurateY = new double[m + 1];
double[] accurateX = new double[m + 1];
for (int i = 0; i < m + 1; i++)
{
accurateX[i] = i * 2 * Math.PI / m;
accurateY[i] = _function.F(accurateX[i]);
}
double[] y = new double[2 * n + 1];
double[] t = new double[2 * n + 1];
double[] a = new double[n + 1];
double[] b = new double[n];
for (int j = 0; j < 2 * n + 1; j++)
{
t[j] = (2 * Math.PI * j) / (2 * n + 1);
y[j] = _function.F(t[j]);
}
//a[k]
for (int k = 0; k < n + 1; k++)
{
double sum = 0;
for (int j = 0; j < 2 * n + 1; j++)
{
sum += y[j] * Math.Cos(2 * Math.PI * j * k / (2 * n + 1));
}
a[k] = (2 * sum) / (2 * n + 1);
}
//b[k]
for (int k = 0; k < n; k++)
{
double sum = 0;
for (int j = 0; j < 2 * n + 1; j++)
{
sum += y[j] * Math.Sin(2 * Math.PI * j * (k + 1) / (2 * n + 1));
}
b[k] = (2 * sum) / (2 * n + 1);
}
double[] q = new double[m + 1];
for (int i = 0; i < m + 1; i++)
{
q[i] = Q(accurateX[i], n, a, b);
}
mainChart.Series.Clear();
DrawHelper.DrawGraph(mainChart, accurateY, accurateX, m, "accurate", Color.Green);
DrawHelper.DrawGraph(mainChart, q, accurateX, m, "trigonometric", Color.Blue);
}
private void runButton_Click(object sender, EventArgs e)
{
double a, b, h1, h2;
int n, m;
try
{
a = Convert.ToDouble(aTextBox.Text);
b = Convert.ToDouble(bTextBox.Text);
n = Convert.ToInt32(nTextBox.Text);
}
catch
{
MessageBox.Show("incorrect input.", "Error");
return;
}
m = 100 * n;
h1 = (b - a) / n;
h2 = (b - a) / m;
double[] x = new double[n + 1];
double[] alfa = new double[n + 1];
double[] beta = new double[n + 3];
double[] y = new double[m + 1];
double[] t = new double[m + 1];
for (int i = 0; i < n + 1; i++)
{
x[i] = a + i * h1;
alfa[i] = _function.F(x[i]);
}
for (int i = 0; i < m + 1; i++)
{
t[i] = a + i * h2;
y[i] = _function.F(t[i]);
}
double[] S1 = new double[n + 1];
double[] S3 = new double[m + 1];
for (int i = 0; i < n + 1; i++)
{
S1[i] = SumForS1(n, alfa, x[i], x, h1);
}
//matrix.
double[,] _A = new double[n + 3, n + 3];
double[] _b = new double[n + 3];
_A[0, 0] = -0.5;
_A[0, 2] = 0.5;
_A[n + 2, n] = -0.5;
_A[n + 2, n + 2] = 0.5;
_b[0] = h1 * 4 * a * a * a;
_b[n + 2] = h1 * 4 * b * b * b;
for (int i = 1; i < n + 2; i++)
{
_A[i, i - 1] = 1 / 6.0;
_A[i, i] = 2 / 3.0;
_A[i, i + 1] = 1 / 6.0;
_b[i] = _function.F(x[i - 1]);
}
beta = GaussMethod.Calculate(n + 3, _A, _b);
for (int i = 0; i < m + 1; i++)
{
S3[i] = SumForS3(n, beta, t[i], x, h1);
}
mainChart.Series.Clear();
DrawHelper.DrawGraph(mainChart, y, t, m - 1, "Exact", Color.Green);
DrawHelper.DrawGraph(mainChart, S1, x, n, "S1", Color.Indigo);
DrawHelper.DrawGraph(mainChart, S3, t, m, "S3", Color.Red);
}
private void runButton_Click(object sender, EventArgs e)
{
if (!IsFildsValid())
{
return;
}
double a, b, faultX, h1, h2;
int n, m;
try {
a = Convert.ToDouble(aTextBox.Text);
b = Convert.ToDouble(bTextBox.Text);
faultX = Convert.ToDouble(xTextBox.Text);
n = Convert.ToInt32(nTextBox.Text);
m = Convert.ToInt32(mTextBox.Text);
} catch {
errorLabel.Text = "Invalid data";
return;
}
h1 = (b - a) / n;
h2 = (b - a) / m;
double[] x = new double[n + 1];
double[] t = new double[m + 1];
double[] x_ch = new double[n + 1];
double[] y = new double[n + 1];
double[] accurate_y = new double[m + 1];
double[] y_ch = new double[n + 1];
for (int k = 0; k < n + 1; k++)
{
x[k] = a + k * h1;
y[k] = _function.F(x[k]);
}
for (int k = 0; k < m + 1; k++)
{
t[k] = a + k * h2;
accurate_y[k] = _function.F(t[k]);
}
for (int k = 0; k < n + 1; k++)
{
x_ch[k] = ((a + b) / 2) + ((b - a) / 2) * Math.Cos(((double)(2 * k + 1) / (double)(2 * (n + 1))) * Math.PI);
y_ch[k] = _function.F(x_ch[k]);
}
double[] p = new double[m + 1];
double[] p_ch = new double[m + 1];
for (int k = 0; k < m + 1; k++)
{
p[k] = _polynomialForm.CalcPolynomial(n + 1, x, y, t[k]);
}
for (int k = 0; k < m + 1; k++)
{
p_ch[k] = _polynomialForm.CalcPolynomial(n + 1, x_ch, y_ch, t[k]);
}
mainChart.Series.Clear();
DrawHelper.DrawGraph(mainChart, accurate_y, t, m, "accurate", Color.Green);
DrawHelper.DrawGraph(mainChart, p, t, m, "simple polynomial", Color.Blue);
DrawHelper.DrawGraph(mainChart, p_ch, t, m, "Chebyshev polynomial", Color.Pink);
double polynomialError = Math.Abs(_function.F(faultX) - _polynomialForm.CalcPolynomial(n, x, y, faultX));
funcErrorLabel.Text = String.Format("Error: \n{0:f13}", polynomialError);
}