ScottPlot.NET
Vector fields use arrows to show direction and magnitude of data points in a 2D array and are ideal for visualizing data explained by differential equations.
• Generated by ScottPlot 4.1.52 on 7/9/2022

## Quickstart

A vector field can be useful to show data explained by differential equations

``````var plt = new ScottPlot.Plot(600, 400);

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.SaveFig("vectorField_quickstart.png");
``````

## Angle and Magnitude

This example demonstrates how to define vectors according to a given angle and magnitude.

``````var plt = new ScottPlot.Plot(600, 400);

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.SaveFig("vectorField_angleMag.png");
``````

## Custom Colormap

A colormap can be supplied to color arrows according to their magnitude

``````var plt = new ScottPlot.Plot(600, 400);

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.XLabel("θ");
plt.YLabel("dθ/dt");

plt.SaveFig("vectorField_colormap.png");
``````

## Custom Scale Factor

A custom scale factor can adjust the length of the arrows.

``````var plt = new ScottPlot.Plot(600, 400);

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.SaveFig("vectorField_scaleFactor.png");
``````

Use a slower drawing method that draws tips that are proportional to the length of the arrows.

``````var plt = new ScottPlot.Plot(600, 400);

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);