Waveforms
Waveform functions for Julia.
| Documentations | Build Status | Code Coverage |
|---|---|---|
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Waveform functions library. Following functions are supported:
- Square wave
- Sawtooth wave
- Triangle wave
Installation
(v1.3) pkg> add WaveformsUsage
See documentations for the detail.
| Waveform | 2π-periodic | 1-periodic |
|---|---|---|
| Square | squarewave |
squarewave1 |
| Sawtooth | sawtoothwave |
sawtoothwave1 |
| Triangle | trianglewave |
trianglewave1 |
julia> using Waveforms
julia> squarewave(0.4)
1.0
julia> sawtoothwave(0.4)
0.12732395447351627
julia> trianglewave(0.4)
0.2546479089470326
julia> using UnicodePlots
julia> lineplot([squarewave, sin], -π/2, 2π)
┌────────────────────────────────────────┐
1 │⠀⠀⠀⠀⠀⠀⠀⠀⢸⠉⠉⠉⠉⢉⠟⠉⠉⢫⠉⠉⠉⠉⢹⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀│ squarewave(x)
│⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀⠀⠀⢠⠊⠀⠀⠀⠀⠣⡀⠀⠀⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀│ sin(x)
│⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀⠀⢠⠇⠀⠀⠀⠀⠀⠀⢱⠀⠀⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀│
│⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀⠀⡜⠀⠀⠀⠀⠀⠀⠀⠀⢧⠀⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀│
│⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⡄⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀│
│⠀⠀⠀⠀⠀⠀⠀⠀⢸⢀⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢱⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀│
│⠀⠀⠀⠀⠀⠀⠀⠀⢸⡜⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣾⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀│
f(x) │⠤⠤⠤⠤⠤⠤⠤⠤⢼⠧⠤⠤⠤⠤⠤⠤⠤⠤⠤⠤⠤⠤⠼⡤⠤⠤⠤⠤⠤⠤⠤⠤⠤⠤⠤⠤⢤⠤⠤⠤│
│⠀⠀⠀⠀⠀⠀⠀⠀⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠇⠀⠀⠀│
│⠀⠀⠀⠀⠀⠀⠀⡸⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡏⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡸⠀⠀⠀⠀│
│⠀⠀⠀⠀⠀⠀⢀⠇⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⢱⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⠃⠀⠀⠀⠀│
│⠀⠀⠀⠀⠀⠀⡞⠀⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⢇⠀⠀⠀⠀⠀⠀⠀⠀⡎⠀⠀⠀⠀⠀│
│⠀⠀⠀⠀⠀⡸⠀⠀⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⠘⡆⠀⠀⠀⠀⠀⠀⡸⠀⠀⠀⠀⠀⠀│
│⠀⠀⠀⠀⡰⠁⠀⠀⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⠘⣄⠀⠀⠀⠀⡜⠁⠀⠀⠀⠀⠀⠀│
-1 │⠀⢀⣀⣜⣀⣀⣀⣀⣸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣇⣀⣀⣀⣈⣦⣀⣠⣜⣀⣀⣀⣀⣀⠀⠀⠀│
└────────────────────────────────────────┘
-2 7
x
julia> lineplot([sawtoothwave, sin], -π/2, 2π)
┌────────────────────────────────────────┐
1 │⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀⠀⠀⠀⢀⠞⠉⠉⢢⠀⠀⠀⡰⢺⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀│ sawtoothwave(x)
│⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀⠀⠀⢠⠊⠀⠀⠀⠀⠣⡠⠚⠀⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀│ sin(x)
│⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀⠀⢠⠇⠀⠀⠀⠀⣠⠎⢱⠀⠀⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀│
│⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀⠀⡜⠀⠀⠀⢀⠖⠁⠀⠀⢧⠀⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀│
│⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀⢸⠀⠀⢀⠜⠁⠀⠀⠀⠀⠘⡄⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀│
│⠀⠀⠀⠀⠀⠀⠀⠀⢸⢀⠇⢀⡔⠉⠀⠀⠀⠀⠀⠀⠀⢱⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀│
│⠀⠀⠀⠀⠀⠀⠀⠀⢸⡜⡴⠊⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣾⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀│
f(x) │⠤⠤⠤⠤⠤⠤⠤⠤⣼⠯⠤⠤⠤⠤⠤⠤⠤⠤⠤⠤⠤⠤⠼⡤⠤⠤⠤⠤⠤⠤⠤⠤⠤⠤⠤⢤⣤⠤⠤⠤│
│⠀⠀⠀⠀⠀⠀⣠⠊⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡠⢊⠇⠀⠀⠀│
│⠀⠀⠀⠀⢠⠎⠀⡸⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡏⡆⠀⠀⠀⠀⠀⠀⠀⡠⠎⠀⡸⠀⠀⠀⠀│
│⠀⠀⣀⠞⠁⠀⢀⠇⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⢱⠀⠀⠀⠀⠀⣠⠚⠁⠀⢠⠃⠀⠀⠀⠀│
│⠀⠐⠁⠀⠀⠀⡞⠀⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⢇⠀⠀⢠⠔⠁⠀⠀⠀⡎⠀⠀⠀⠀⠀│
│⠀⠀⠀⠀⠀⡸⠀⠀⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⠘⣆⠴⠁⠀⠀⠀⠀⡸⠀⠀⠀⠀⠀⠀│
│⠀⠀⠀⠀⡰⠁⠀⠀⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⢀⡔⠛⣄⠀⠀⠀⠀⡜⠁⠀⠀⠀⠀⠀⠀│
-1 │⠀⢀⣀⠜⠀⠀⠀⠀⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡧⠋⠀⠀⠈⢦⣀⣠⠜⠀⠀⠀⠀⠀⠀⠀⠀│
└────────────────────────────────────────┘
-2 7
x
julia> lineplot([trianglewave, sin], -π/2, 2π)
┌────────────────────────────────────────┐
1 │⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀⠀⠀⠀⢀⢞⠝⢏⢢⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀│ trianglewave(x)
│⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀⠀⠀⢠⠊⡜⠀⠈⢇⠣⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀│ sin(x)
│⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀⠀⢠⠇⡼⠀⠀⠀⠈⡆⢱⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀│
│⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀⠀⡜⡸⠀⠀⠀⠀⠀⠈⢆⢧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀│
│⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀⢸⡰⠁⠀⠀⠀⠀⠀⠀⠘⣜⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀│
│⠀⠀⠀⠀⠀⠀⠀⠀⢸⢀⡷⠁⠀⠀⠀⠀⠀⠀⠀⠀⠘⣵⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀│
│⠀⠀⠀⠀⠀⠀⠀⠀⢸⡼⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀│
f(x) │⠤⠤⠤⠤⠤⠤⠤⠤⢼⠧⠤⠤⠤⠤⠤⠤⠤⠤⠤⠤⠤⠤⠼⡤⠤⠤⠤⠤⠤⠤⠤⠤⠤⠤⠤⠤⣤⠤⠤⠤│
│⠀⠀⠀⠀⠀⠀⠀⢠⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢳⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⠇⠀⠀⠀│
│⠀⠀⠀⠀⠀⠀⢠⡻⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⡷⡀⠀⠀⠀⠀⠀⠀⠀⠀⢠⡻⠀⠀⠀⠀│
│⠀⠀⠀⠀⠀⢠⢊⠇⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢱⢣⡀⠀⠀⠀⠀⠀⠀⢠⢣⠃⠀⠀⠀⠀│
│⠀⠀⠀⠀⢀⠎⡞⠀⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢇⢣⠀⠀⠀⠀⠀⢠⠎⡎⠀⠀⠀⠀⠀│
│⠀⠀⠀⢀⠎⡸⠀⠀⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⡆⢣⠀⠀⠀⢀⠇⡸⠀⠀⠀⠀⠀⠀│
│⠀⠀⠀⡎⡰⠁⠀⠀⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣄⢣⠀⢀⠎⡜⠁⠀⠀⠀⠀⠀⠀│
-1 │⠀⢀⣎⠜⠀⠀⠀⠀⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢮⣦⣮⠜⠀⠀⠀⠀⠀⠀⠀⠀│
└────────────────────────────────────────┘
-2 7
x