public void ExecuteRecipe(Plot plt)
{
double[] xPositions = DataGen.Range(0, 10);
double[] yPositions = DataGen.Range(0, 10);
Vector2[,] vectors = new Vector2[xPositions.Length, yPositions.Length];
for (int x = 0; x < xPositions.Length; x++)
{
for (int y = 0; y < yPositions.Length; y++)
{
vectors[x, y] = new Vector2(
x: Math.Sin(xPositions[x]),
y: Math.Sin(yPositions[y]));
}
}
plt.AddVectorField(vectors, xPositions, yPositions);
}
public void ExecuteRecipe(Plot plt)
{
// create an interesting plot
double[] xs = DataGen.Range(-5, 5, .5);
double[] ys = DataGen.Range(-5, 5, .5);
Vector2[,] vectors = new Vector2[xs.Length, ys.Length];
for (int i = 0; i < xs.Length; i++)
{
for (int j = 0; j < ys.Length; j++)
{
vectors[i, j] = new Vector2(ys[j], -15 * Math.Sin(xs[i]));
}
}
plt.AddVectorField(vectors, xs, ys, colormap: Drawing.Colormap.Turbo);
// use images as axis labels
plt.XAxis.ImageLabel(new Bitmap("Images/theta.png"));
plt.YAxis.ImageLabel(new Bitmap("Images/d_theta_dt.png"));
}
public void ExecuteRecipe(Plot plt)
{
double[] xs = DataGen.Range(-5, 6);
double[] ys = DataGen.Range(-5, 6);
Vector2[,] vectors = new Vector2[xs.Length, ys.Length];
for (int i = 0; i < xs.Length; i++)
{
for (int j = 0; j < ys.Length; j++)
{
double slope = -xs[i];
double magnitude = Math.Abs(xs[i]);
double angle = Math.Atan(slope);
vectors[i, j] = new Vector2(Math.Cos(angle) * magnitude, Math.Sin(angle) * magnitude);
}
}
plt.AddVectorField(vectors, xs, ys);
}
public void ExecuteRecipe(Plot plt)
{
double[] xPositions = DataGen.Range(0, 10);
double[] yPositions = DataGen.Range(0, 10);
Vector2[,] vectors = new Vector2[xPositions.Length, yPositions.Length];
for (int x = 0; x < xPositions.Length; x++)
{
for (int y = 0; y < yPositions.Length; y++)
{
vectors[x, y] = new Vector2(
x: Math.Sin(xPositions[x]),
y: Math.Sin(yPositions[y]));
}
}
var vf = plt.AddVectorField(vectors, xPositions, yPositions);
vf.ScaledArrowheads = true;
vf.Anchor = ArrowAnchor.Base;
vf.MarkerSize = 3;
}
public void ExecuteRecipe(Plot plt)
{
double[] xs = DataGen.Range(-1.5, 1.5, .25);
double[] ys = DataGen.Range(-1.5, 1.5, .25);
Vector2[,] vectors = new Vector2[xs.Length, ys.Length];
for (int i = 0; i < xs.Length; i++)
{
for (int j = 0; j < ys.Length; j++)
{
double x = xs[i];
double y = ys[j];
var e = Math.Exp(-x * x - y * y);
var dx = (1 - 2 * x * x) * e;
var dy = -2 * x * y * e;
vectors[i, j] = new Vector2(dx, dy);
}
}
plt.AddVectorField(vectors, xs, ys, scaleFactor: 0.3);
}
public void ExecuteRecipe(Plot plt)
{
double[] xs = DataGen.Range(-5, 5, .5);
double[] ys = DataGen.Range(-5, 5, .5);
Vector2[,] vectors = new Vector2[xs.Length, ys.Length];
double r = 0.5;
for (int i = 0; i < xs.Length; i++)
{
for (int j = 0; j < ys.Length; j++)
{
double x = ys[j];
double y = -9.81 / r * Math.Sin(xs[i]);
vectors[i, j] = new Vector2(x, y);
}
}
plt.AddVectorField(vectors, xs, ys, colormap: Drawing.Colormap.Turbo);
plt.XLabel("θ");
plt.YLabel("dθ/dt");
}
