public void Visualize(IEnumerable <RateAtDate> data, int numPoints)
{
const string LinearFile = "Lin.csv";
const string CosineFile = "Cos.csv";
const string CubicFile = "Cub.csv";
DateTime start = data.First().Date;
LinearInterpolation lin = new LinearInterpolation(data);
CosineInterpolation cos = new CosineInterpolation(data);
CubicInterpolation cub = new CubicInterpolation(data);
using (StreamWriter linsw = new StreamWriter(fileRoot + LinearFile))
using (StreamWriter cossw = new StreamWriter(fileRoot + CosineFile))
using (StreamWriter cubsw = new StreamWriter(fileRoot + CubicFile))
{
double increment = ((double)(data.Last().Date - data.First().Date).TotalMilliseconds) / (double)numPoints;
for (int i = 0; i < numPoints; i++)
{
DateTime writeDate = start + TimeSpan.FromMilliseconds((i * increment));
linsw.WriteLine(lin.GetRate(writeDate));
cossw.WriteLine(cos.GetRate(writeDate));
cubsw.WriteLine(cub.GetRate(writeDate));
}
}
ShowData(fileRoot + LinearFile);
ShowData(fileRoot + CosineFile);
ShowData(fileRoot + CubicFile);
}
class main { static void Main()
{
// To test the cubic interpolation i will compare x and y values of the function sin(x) with the splined results (as shown in plot A)
//Generation of tabulated test values
int n = 100; // N data points (Arbitrary precision)
vector x = new vector((int)n); vector y = new vector((int)n);
using (StreamWriter outputFile = new StreamWriter("ManualValues.txt")){
for (int i = 0; i < n; i = i + 1)
{
x[i] = i * (2 * PI / n); y[i] = Sin(x[i]);
outputFile.WriteLine($"{x[i]} {y[i]} {1-Cos(x[i])} {Cos(x[i])}");
}
}
//Cubic interpolation
var CubicInterp = new CubicInterpolation(x, y); // Constructor call
using (StreamWriter CubicSplineOut = new StreamWriter("CubicSpline.txt")){
for (double z = 0; z < x[x.size - 1]; z = z + (x[x.size - 1]) / 120)
{
CubicSplineOut.WriteLine($"{z} {CubicInterp.CubicSpline(z)} {CubicInterp.CubicSplineIntegrate(z)} {CubicInterp.CubicSplineDerivative(z)}");
}
}
}
/// <summary>
/// Возвращает дважды-гладкую последовательность кривых проходящих через заданные точки представленных набором структур <see cref="Point3D"/>.
/// </summary>
/// <param name="points">Набор структур <see cref="Point3D"/>.</param>
/// <returns>Массив кривых.</returns>
public static BezierCurve[] FromPoints(IList <Point3D> points)
{
if (points.Count < 2)
{
throw new ArgumentException("Количество точек должно быть больше 1.", nameof(points));
}
var pointsX = new PointD[points.Count];
var pointsY = new PointD[points.Count];
var pointsZ = new PointD[points.Count];
for (var i = 0; i < points.Count; i++)
{
var point = points[i];
pointsX[i] = new PointD(i, point.X);
pointsY[i] = new PointD(i, point.Y);
pointsZ[i] = new PointD(i, point.Z);
}
//Строем кубические сплайны X(t), Y(t), Z(t)
var funcX = new CubicInterpolation(pointsX);
var funcY = new CubicInterpolation(pointsY);
var funcZ = new CubicInterpolation(pointsZ);
var result = new BezierCurve[points.Count - 1];
for (var i = 0; i < result.Length; i++)
{
var polynomX = funcX.GetPolynom(i);
var polynomY = funcY.GetPolynom(i);
var polynomZ = funcZ.GetPolynom(i);
//Замена переменной
var sub = new Polynomial(i, 1);
var resolveX = GetBezierPoints(polynomX.Substitution(sub));
var resolveY = GetBezierPoints(polynomY.Substitution(sub));
var resolveZ = GetBezierPoints(polynomZ.Substitution(sub));
result[i] = new BezierCurve(
new Point3D(resolveX[0], resolveY[0], resolveZ[0]),
new Point3D(resolveX[1], resolveY[1], resolveZ[1]),
new Point3D(resolveX[2], resolveY[2], resolveZ[2]),
new Point3D(resolveX[3], resolveY[3], resolveZ[3]));
}
return(result);
}
/// <summary>
///
/// </summary>
/// <param name="x1">Interpolated Data OX (new abscissa)</param>
/// <param name="y1">Interpolated Data OY (new ordinate)</param>
static void ExampleWithoutArrays(out double[] x1, out double[] y1)
{
Console.WriteLine("Example Without Arrays : Start.\n");
x1 = null;
y1 = null;
int N = 40;
double Fs = 20.0;
double[] x = new double[N];
double[] y = new double[N];
for (int i = 0; i < N; i++)
{
x[i] = i / Fs;
y[i] = Math.Sin(2.0 * Math.PI * x[i]);
}
CubicInterpolation cubic = new CubicInterpolation();
cubic.CalcCoefficients(x, y);
x1 = new double[2 * N - 1];
y1 = new double[2 * N - 1];
for (int i = 0; i < 2 * N - 1; i++)
{
x1[i] = i / (2.0 * Fs);
y1[i] = cubic.Interpolate(x1[i]);
}
Console.WriteLine("WARNING!");
Console.WriteLine("\tYou will do this at your own risk.");
double newX = -2.0; /* Never do it */
double newY = cubic.Interpolate(newX); /* Never do it */
Console.WriteLine("\tNew (X < sourceX[0], Y) = ({0,3:F2} ; {1,3:F2})", newX, newY);
newX = 4 * N / Fs; /* Never do it */
newY = cubic.Interpolate(newX); /* Never do it */
Console.WriteLine("\tNew (X > sourceX[end], Y) = ({0,3:F2} ; {1,3:F2})", newX, newY);
Console.WriteLine("Example Without Arrays : Enjoy.\n");
}
public void Initialise(List <CamNode> points, int loops, CamTarget target)
{
if (points.Count == 1)
{
throw new CamStudioException("At least two points are required");
}
var iterations = loops == 0 ? 1 : loops == 1 ? 2 : 3;
SizeOfIteration = 1D / iterations;
var size = points.Count * iterations;
if (iterations > 1)
{
size++;
}
var xPoints = new double[size];
var yPoints = new double[size];
var zPoints = new double[size];
var yawPoints = new double[size];
var pitchPoints = new double[size];
var rollPoints = new double[size];
var fovPoints = new double[size];
var saturationPoints = new double[size];
var sepiaPoints = new double[size];
for (var j = 0; j < iterations; j++)
{
for (var i = 0; i < points.Count; i++)
{
xPoints[i + j * points.Count] = points[i].X;
yPoints[i + j * points.Count] = points[i].Y;
zPoints[i + j * points.Count] = points[i].Z;
yawPoints[i + j * points.Count] = points[i].Yaw;
pitchPoints[i + j * points.Count] = points[i].Pitch;
rollPoints[i + j * points.Count] = points[i].Roll;
fovPoints[i + j * points.Count] = points[i].FieldOfView;
saturationPoints[i + j * points.Count] = points[i].Saturation;
sepiaPoints[i + j * points.Count] = points[i].Sepia;
}
}
if (iterations > 1)
{
xPoints[points.Count * iterations] = points[0].X;
yPoints[points.Count * iterations] = points[0].Y;
zPoints[points.Count * iterations] = points[0].Z;
yawPoints[points.Count * iterations] = points[0].Yaw;
pitchPoints[points.Count * iterations] = points[0].Pitch;
rollPoints[points.Count * iterations] = points[0].Roll;
fovPoints[points.Count * iterations] = points[0].FieldOfView;
saturationPoints[points.Count * iterations] = points[0].Saturation;
sepiaPoints[points.Count * iterations] = points[0].Sepia;
}
_xSpline = new CubicInterpolation(xPoints);
_ySpline = new CubicInterpolation(yPoints);
_zSpline = new CubicInterpolation(zPoints);
_yawSpline = new CubicInterpolation(yawPoints);
_pitchSpline = new CubicInterpolation(pitchPoints);
_rollSpline = new CubicInterpolation(rollPoints);
_fovSpline = new CubicInterpolation(fovPoints);
_saturationSpline = new CubicInterpolation(saturationPoints);
_sepiaSpline = new CubicInterpolation(sepiaPoints);
}