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SDGMathematics

⚠ This project is obsolete. It has been superseded by SDGCornerstone. ⚠

SDGMathematics extends support for mathematics.

מֹאזְנֵי מִרְמָה תּוֹעֲבַת יהוה וְאֶבֶן שְׁלֵמָה רְצוֹנוֹ׃
Deceptive scales are an abomination to the Lord; an accurate weight is his expectation.
                                                                                                    ―‎שלמה/Shlomo

Features

• Mathematical operations such as exponents, roots, logarithms, and trigonometry.
• Arbitrary‐precision number types: WholeNumber, Integer & RationalNumber.
• Customizable randomization of numbers and boolean values.
• A hierarchical protocol model for number types: WholeArithmetic, IntegralArithmetic, RationalArithmetic, RealArithmetic, etc.
• A Measurement protocol to simplify working with differing units.
• Automated reversal of complex functions via findLocalMinimum(near:within:inFunction), etc.

Importing

SDGMathematics is intended for use with the Swift Package Manager.

Simply add SDGMathematics as a dependency in Package.swift:

let package = Package(
    ...
    dependencies: [
        ...
        .Package(url: "https://github.com/SDGGiesbrecht/SDGMathematics", versions: "2.0.0" ..< "3.0.0"),
        ...
    ]
)

SDGMathematics can then be imported in source files:

import SDGMathematics

Example Usage

import SDGLogic
import SDGMathematics

func verifyPythagoreanTheorem() {
    let a = 3.0
    let b = 4.0
    let c = 5.0
    if √(a↑2 + b↑2) ≠ c {
        print("Pythagoras was wrong! (Or maybe I just need to research floating point numbers...)")
    }
}

func tryTrigonometry() {
    let θ = 90.0°
    let sine = sin(θ)
    print("The sine of \(θ.inRadians) radians is \(sine)")
}

func playWithDice() {

    func rollDie() -> Int {
        return Int(randomInRange: 1 ... 6)
    }

    if rollDie() == 1 ∧ rollDie() == 1 {
        print("Snake eyes!")
    } else {
        print("Not this time...")
    }
}

func analyzeParabola() {
    let parabola: (Int) -> Int = {
        (x: Int) -> Int in
        return 2 × x↑2   +   4 × x   −   1
    }
    let vertexX = findLocalMinimum(near: 0, inFunction: parabola)
    print("The vertex is at (\( vertexX ), \( parabola(vertexX) )).")
}

About

The SDGMathematics project is maintained by Jeremy David Giesbrecht.

If SDGMathematics saves you money, consider giving some of it as a donation.

If SDGMathematics saves you time, consider devoting some of it to contributing back to the project.

Ἄξιος γὰρ ὁ ἐργάτης τοῦ μισθοῦ αὐτοῦ ἐστι.
For the worker is worthy of his wages.
                                                                                                    ―‎ישוע/Yeshuʼa