Math

First of all the math file lists some important constants:

• PI: π: The ratio of a circle's circumference to it's diameter. ≈ 3.14159
• GOLDEN_RATIO: Φ: The golden ratio. ≈ 1.618
• INVERSE_GOLDEN_RATIO: φ: The inverse golden ratio. ≈ 0.618
• E: e: Euler's number, base of the natural logarithm. ≈ 2.71828
• EULER_MASCHERONI: 𝛾: Euler-Mascheroni constant. ≈ 0.57721
• GELFOND: e^π: Gelfond's constant. Also (-1)^(-i), where i is the imaginary unit. ≈ 23.14
• GELFOND_SCHNEIDER: 2^√2: Gelfond-Schneider constant, also called Hilbert number. ≈ 2.665

The Math file defines general math protocols for the different numeric types.

Addable

func + (left: Self, right: Self) -> Self

Negatable

prefix func - (instance: Self) -> Self

Substractable

func - (left: Self, right: Self) -> Self

Multiplicable

func * (left: Self, right: Self) -> Self

Dividable

func / (left: Self, right: Self) -> Self

Modulable

func % (left: Self, right: Self) -> Self

Powerable

Math Eagle defines a power operator: **

typealias PowerType
func ** (left: Self, right: Double) -> PowerType
init(PowerType)

SetCompliant

var isNatural: Bool { get }
var isInteger: Bool { get }

BasicMathValue

This means it adopts the following protocols:

• Equatable
• Comparable
• Addable
• Substractable
• Multiplicable
• Dividable
• SetCompliant
• IntegerLiteralConvertible

FullMathValue

This means it adopts the following protocols:

• Equatable
• Comparable
• Addable
• Negatable
• Substractable
• Multiplicable
• Dividable
• Powerable
• SetCompliant
• IntegerLiteralConvertible