Collection of periodic functions with period normalized to turns.
const fn = require('periodic-function/<fn>')
//π radians
let halfTurn = fn(.5)
//2π radians
let fullTurn = fn(1)The fn takes the amount of turn t as the first argument and optional parameters. The list of available functions:
| Signature | Waveform | Meaning |
|---|---|---|
sine(t, phase=0) |
 |
Math.sin normalized to 0..1 rather than radians 0..2π. To turn into cos, set phase=.25. |
triangle(t, ratio=0.5) |
 |
Triangular waveform with regulated ratio. To turn into sawtooth set ratio=0 or ratio=1. |
sawtooth(t, inverse=false) |
 |
Edge case of triangular waveform, whether descending or ascending. |
square(t, ratio=0.5) |
 |
Rectangular waveform with regulated ratio. To turn into pulse set ratio=0. |
pulse(t, tlr=0) |
 |
Delta-pulse, which is 1 at 0 and 0 anywhere else. Pass tlr as a precision tolerance, ie. 1e-5. |
fourier(t, real, imag?, normalize=false) |
 |
Fourier Series coefficients, ie. harmonics. 0 harmonic is static level, 1st is base frequency, 2nd is double base frequency, 3rd is triple etc. Set normalize=true to bring max harmonic to 1. |
clausen(t, limit=10) |
 |
Clausen function. Pass limit to indicate number of iterations, precision/performance tradeoff. |
step(t, samples) |
 |
Step function, picks closest sample value out of a set. |
interpolate(t, samples) |
 |
Interpolates between closest values in a sample set. |
noise(t) |
 |
Repeated sample of noise. |
If you feel like it is not complete list of you know example of a good periodic function, suitable for dsp, welcome to contribute.
© 2017 Dima Yv. MIT License