https://github.com/paalon/waveforms.jl

Waveform functions for Julia.
https://github.com/paalon/waveforms.jl

julia sawtooth-wave square-wave triangle-wave

Last synced: about 2 months ago
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Waveform functions for Julia.

• Host: GitHub
• URL: https://github.com/paalon/waveforms.jl
• Owner: Paalon
• License: mit
• Created: 2018-05-17T13:00:59.000Z (about 7 years ago)
• Default Branch: master
• Last Pushed: 2024-06-19T19:00:08.000Z (12 months ago)
• Last Synced: 2024-06-20T07:37:01.771Z (12 months ago)
• Topics: julia, sawtooth-wave, square-wave, triangle-wave
• Language: Julia
• Homepage: https://paalon.github.io/Waveforms.jl/
• Size: 276 KB
• Stars: 6
• Watchers: 2
• Forks: 2
• Open Issues: 1
• Metadata Files:
  • Readme: README.adoc
  • License: LICENSE

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README

        
# Waveforms

_Waveform functions for Julia._

[cols="^,^,^,^"]

|===

| Documentations | Build Status | Code Coverage | License

| https://paalon.github.io/Waveforms.jl/stable/[image:https://img.shields.io/badge/docs-stable-blue.svg[Docs stable]]

  https://paalon.github.io/Waveforms.jl/dev/[image:https://img.shields.io/badge/docs-dev-blue.svg[Docs dev]]

| https://github.com/Paalon/Waveforms.jl/actions/workflows/CI.yaml[image:https://github.com/Paalon/Waveforms.jl/actions/workflows/CI.yaml/badge.svg[CI]]

| https://coveralls.io/github/Paalon/Waveforms.jl?branch=master[image:https://coveralls.io/repos/Paalon/Waveforms.jl/badge.svg?branch=master&service=github[coverage]]

  https://codecov.io/gh/Paalon/Waveforms.jl[image:https://codecov.io/gh/Paalon/Waveforms.jl/branch/master/graph/badge.svg[codecov]]

| https://opensource.org/licenses/MIT[image:https://img.shields.io/badge/License-MIT-yellow.svg[License: MIT]]

|===

Waveform functions library. Following functions are supported:

* https://en.wikipedia.org/wiki/Square_wave[Square wave]

* https://en.wikipedia.org/wiki/Sawtooth_wave[Sawtooth wave]

* https://en.wikipedia.org/wiki/Triangle_wave[Triangle wave]

## Installation

[source, julia]

----

(@v1.9) pkg> add Waveforms

----

## Usage

See https://paalon.github.io/Waveforms.jl/stable/[documentations] for the detail.

|===

| Waveform | 2π-periodic | 1-periodic

| Square | https://paalon.github.io/Waveforms.jl/stable/#Waveforms.squarewave[`squarewave`] | https://paalon.github.io/Waveforms.jl/stable/#Waveforms.squarewave1[`squarewave1`]

| Sawthooth | https://paalon.github.io/Waveforms.jl/stable/#Waveforms.sawtoothwave[`sawtoothwave`] | https://paalon.github.io/Waveforms.jl/stable/#Waveforms.trianglewave1[`sawtoothwave1`]

| Triangle | https://paalon.github.io/Waveforms.jl/stable/#Waveforms.trianglewave[`trianglewave`] | https://paalon.github.io/Waveforms.jl/stable/#Waveforms.trianglewave1[`trianglewave1`]

|===

[source, julia]

----

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⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

----