Data and Math
vcontrol
Transfer functions for control systems, written as plain lists of coefficients.
Released v1.0.0 · 2026-09-28use "stdlib/control.ven"print transfer_function([1.0], [1.0, 1.0])Reference (11 functions)
API reference
transfer_function(numerator, denominator)
Builds a transfer function from numerator and denominator coefficient Lists.
transfer_function([1.0], [1.0, 1.0])evaluate_polynomial(coefficients, x)
Evaluates a polynomial with the given coefficients at x using Horner's method.
evaluate_polynomial([1.0, 2.0, 3.0], 2.0)polynomial_roots(coefficients, who)
Solves for the roots of a constant, linear, or quadratic polynomial.
polynomial_roots([1.0, 5.0, 6.0], "poles")poles(tf)
Gives back a transfer function's poles: the roots of its denominator.
poles(([1.0], [1.0, 3.0, 2.0]))zeros(tf)
Gives back a transfer function's zeros: the roots of its numerator.
zeros(([2.0, 4.0], [1.0, 1.0]))is_stable(tf)
Tests whether every pole of a transfer function has a strictly negative real part.
is_stable(([1.0], [1.0, 1.0]))simulate_response(tf, duration, steps, is_impulse)
Simulates a step or impulse response by Euler-discretizing the transfer function's ODE.
simulate_response(([1.0], [1.0, 1.0]), 2.0, 4, no)step_response(tf, duration, steps)
Simulates the unit step response of a transfer function by Euler integration.
step_response(([1.0], [1.0, 1.0]), 2.0, 4)impulse_response(tf, duration, steps)
Simulates the impulse response of a transfer function by Euler integration.
impulse_response(([1.0], [1.0, 1.0]), 2.0, 4)pid_controller(kp, ki, kd)
Builds a new PID controller with the given gains and zeroed running state.
pid_controller(1.0, 0.5, 0.1)pid_update(pid, error, dt)
Advances a PID controller by one time step, mutating and returning its output.
pid_update(pid_controller(1.0, 0.5, 0.1), 2.0, 0.1)