Euler

Euler uses custom operators in the "Math Symbols" character set to implement functions using traditional mathematical notation.

Please keep in mind that this is not intended or recommended for production. Custom operators of any breed are ripe for misuse and abuse, and should be used with as much care and caution as you would something like method swizzling or complex macros.

Euler is much better-suited to a Playground, where it could be used for teaching and learning logic and mathematics using a more vernacular notation.

Euler is named after Leonhard Euler, the Swiss mathematician credited for the popularization of modern mathematical notation such as the Greek letters Σ for summation & π for the ratio of a circle's circumference to its diameter, the letters e to denote the base of the natural logarithm & i to denote the imaginary unit, sin & cos for trigonometric functions, and f(x) to denote the function f with argument x.

Example Usage

import Foundation
import Euler
import PlaygroundSupport

𝑒 // 2.718281828459045

¬true // false

3 × 4 // 12

let prime = [2, 3, 5, 7, 11]
let fibonacci = [1, 1, 2, 3, 5, 8, 13]
prime ∩ fibonacci // {2, 3, 5}

∑[1, 2, 3, 4, 5] // 15

[1, 2] ⋅ [3, 4] // 11

7 ≠ 9 // true

var f: (Double) -> Double = sin
let g: (Double) -> Double = cos

for x in stride(from: 0, to: 4 * π, by: π / 8) {
    (f ∘ g)(x) // ∿∿∿
}

(f′)(π) // -1

Inventory

Mathematical Constants

π - Pi
𝝉 - Tau
𝑒 - e
ε - Machine Epsilon

Logic

Arithmetic

Sets

∈ - Set Membership
∉ - Set Non-Membership
∋ - Converse Set Membership
∌ - Converse Set Membership
∩ - Set Intersection
∪ - Set Union
⊆ - Subset
⊂ - Proper Subset
⊄ - Not A Subset Of
⊇ - Superset
⊃ - Proper Superset
⊅ - Not A Superset Of

Sequences

∑ - Summation
∏ - Cartesian Product

Vectors

⋅ - Dot Product
× - Cross Product
‖ - Vector Norm
⦡ - Angle Between Vectors

Comparison

Calculus

′ - Derivative
∫ - Integral

Functions

∘ - Composition

License

MIT

Contact

Mattt (@mattt)

License

mattt/Euler

ErrorLooks like something went wrong!

About

Topics

Resources

License

Uh oh!

Stars

Watchers

Forks

Releases

Packages 0

Uh oh!

Contributors 5

Languages

Error
Looks like something went wrong!

Packages