Interactive Function Plotter

Enter Python expressions using t as the time variable. The numpy module is available via np so expressions like np.abs can be used. Built-in helpers include the constants pi and e, as well as the signals rect, tri, step, delta, sign, sin, cos, exp, exp_iwt, inv_t, si and additional functions (arcsin, arccos, arctan, sinh, cosh, tanh, gauss). Two expressions can be plotted simultaneously and separately adjusted with the sliders.

The sliders apply the transformation \(a \cdot f(\frac 1 w \cdot (t - s))\). The shift \(s\) applies a time-shift. The amplitude \(a\) scales the output signal while the width \(w\) scales the time axis to stretch or compress the function.

The rectangle and triangle functions are defined as: $$\mathrm{rect}(t) = \begin{cases} 1,& |t| < \frac 1 2 \\ 0,& \text{else} \end{cases}$$ $$\mathrm{tri}(t) = \begin{cases} 1 - |t|,& |t| < 1 \\ 0,& \text{else} \end{cases}$$