Online tool written in Svelte and Javascript for visualization of complex functions (defined from ℂ to ℂ) through their streamplot: ƒ(x) dictates the instant velocity of the particle whose position is x (with x ∈ ℂ).

The tool, published here, allows a great deal of customisation:

• A function can be chosen amost many;
• Three complex numbers (z₁ z₂ z₃) appearing in some function definition, can be inserted by the user;
• Others real number r and integer number k can be inserted too, and they will affect some functions behaviours;
• Small dt applied to ƒ(x) to obtain instant velocity;
• Particle life;
• Number and magnifying factor of colors;
• The viewbox can be panned to move across the Guassian plane;
• Alt + scroll zooms in and out of the viewbox;

• Manual input of visible range of x- and y-axis;
• Axis ratio lock;
• More functions;
• Maybe input and parsing of user-defined functions;