Waveforms.jl

Waveform functions for Julia.
Author Paalon
Popularity
3 Stars
Updated Last
2 Years Ago
Started In
May 2018

Waveforms

Waveform functions for Julia.

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Waveform functions library. Following functions are supported:

  • Square wave
  • Sawtooth wave
  • Triangle wave

Installation

(v1.3) pkg> add Waveforms

Usage

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