https://github.com/olekscode/function

Reification of a mathematical function as an object. Allows function arithmetics and function composition.
https://github.com/olekscode/function

function function-composition mathematics pharo

Last synced: 6 days ago
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Reification of a mathematical function as an object. Allows function arithmetics and function composition.

• Host: GitHub
• URL: https://github.com/olekscode/function
• Owner: olekscode
• License: mit
• Created: 2020-01-26T00:43:54.000Z (almost 5 years ago)
• Default Branch: master
• Last Pushed: 2020-01-26T01:16:13.000Z (almost 5 years ago)
• Last Synced: 2024-10-31T06:42:00.320Z (about 2 months ago)
• Topics: function, function-composition, mathematics, pharo
• Language: Smalltalk
• Size: 11.7 KB
• Stars: 3
• Watchers: 3
• Forks: 0
• Open Issues: 0
• Metadata Files:
  • Readme: README.md
  • License: LICENSE

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README

        
# Function

[![Build Status](https://travis-ci.org/olekscode/Function.svg?branch=master)](https://travis-ci.org/olekscode/Function)

[![Build status](https://ci.appveyor.com/api/projects/status/2fcibtphyy2tgk42?svg=true)](https://ci.appveyor.com/project/olekscode/function)

[![Coverage Status](https://coveralls.io/repos/github/olekscode/Function/badge.svg?branch=master)](https://coveralls.io/github/olekscode/Function?branch=master)

[![License](https://img.shields.io/badge/license-MIT-blue.svg)](https://raw.githubusercontent.com/olekscode/Function/master/LICENSE)

[![Pharo version](https://img.shields.io/badge/Pharo-7.0-%23aac9ff.svg)](https://pharo.org/download)

[![Pharo version](https://img.shields.io/badge/Pharo-8.0-%23aac9ff.svg)](https://pharo.org/download)

Reification of a mathematical function as an object. Allows  function arithmetics and function composition.

## Installation

To install Functon, go to the Playground (Ctrl+OW) in your Pharo image and execute the following Metacello script (select it and press Do-it button or Ctrl+D):

```Smalltalk

Metacello new

  baseline: 'Function';

  repository: 'github://olekscode/Function/src';

  load.

```

## How to use?

Functions can be defined using block closures:

```Smalltalk

f := [ :x | x sin ] asFunction.

g := [ :x | x cos ] asFunction.

h := [ :x | x + 1 ] asFunction.

alpha := Float pi / 2.

```

### Adding Two Functions

In the following example, `f + g` is a new function `(f+g)(x) = sin(x) + cos(x)`:

```Smalltalk

(f + g) value: alpha. "1.0"

```

### Composition of Functions

Composition of two functions `f(x)` and `h(x)` is a new function `(f@h)(x) = f(h(x))`. In our example, `(f@h)(x) = sin(x+1)` and `(h@f)(x) = sin(x) + 1`:

```Smalltalk

(f @ h) value: alpha. "0.54"

(h @ f) value: alpha. "2.0"

```