static int Main(string[] args)
{
// input to vector...
var input = new System.IO.StreamReader("sin_data.txt");
int input_lenght = 0;
while (input.ReadLine() != null)
{
input_lenght++;
}
input.Close();
input = new System.IO.StreamReader("sin_data.txt");
vector x1 = new vector(input_lenght);
vector y1 = new vector(input_lenght);
string line;
for (int n = 0; n < input_lenght; n++)
{
line = input.ReadLine();
string[] words = line.Split(' ');
x1[n] = double.Parse(words[0]);
y1[n] = double.Parse(words[1]);
}
/// end input to vector
cspline a = new cspline(x1, y1);
for (double n = 0; n <= 10; n += 0.05)
{
WriteLine($"{n} {a.cintegral(n)}");
}
return(0);
}
static int Main()
{
//test of cubicspline using Sin(x)
int n = 11; //number of sample points
//generate sample points:
vector x = new vector(n);
vector y = new vector(n);
var points = new System.IO.StreamWriter("points.txt");
for (int i = 0; i < n; i++)
{
x[i] = 2 * i * (PI / (n - 1));
y[i] = Sin(x[i]);
points.WriteLine($"{x[i]} {y[i]}");
} //end for
points.Close();
//using qspline
cspline csin = new cspline(x, y);
//generating data to plot
var data = new System.IO.StreamWriter("data.txt");
int N = 100;
for (int i = 0; i < N; i++)
{
double xn = 2 * i * (PI / (N - 1));
data.WriteLine($"{xn} {Sin(xn)} {csin.c_spline(xn)} {Cos(xn)} {csin.cderivative(xn)} {1-Cos(xn)} {csin.cintegral(xn)}");
} //end for
data.Close();
//end of test using sine
WriteLine($"Part C:");
WriteLine($"Cubic spline of Sin(x) can be seen in cubic_splineC.svg.");
WriteLine($"The derivative of the aforementioned spline of can be seen in cubic_derivativeC.svg, and the integral in cubic_integralC.svg");
WriteLine($"In comparisonC.svg my the calculated cubic spline is compared with spline from plotutils");
return(0);
}