Description

A class representing complex numbers. Note that this is a simplified representation of a complex number, which does not implement the full mathematical notion of a complex number.

Class Methods

Complex.new(real, imag)

Inherited class methods

Instance Methods

math support

.real

.real = value

.imag

.imag = value

.conjugate

+(aNumber, adverb)

-(aNumber, adverb)

*(aNumber, adverb)

/(aNumber, adverb)

.exp

.squared

.cubed

.sqrt

**(that)

.pow(aNumber)

<(aNumber, adverb)

==(aNumber, adverb)

.neg

.reciprocal

.abs

.magnitude

.magnitudeApx

.rho

.angle

.phase

.theta

conversion

.asPoint

.asPolar

.asInteger

.asFloat

.asComplex

misc

.coerce(aNumber)

.hash

.printOn(stream)

.performBinaryOpOnSignal(aSelector, aSignal, adverb)

.performBinaryOpOnComplex(aSelector, aNumber, adverb)

.performBinaryOpOnSimpleNumber(aSelector, aNumber, adverb)

.performBinaryOpOnUGen(aSelector, aUGen, adverb)

Inherited instance methods

Undocumented instance methods

.round(aNumber: 1.0)

Examples

Basic example:a = Complex(0, 1); a * a; // returns Complex(-1, 0);

Julia set approximation:f = { |z| z * z + Complex(0.70176, 0.3842) }; ( var n = 80, xs = 400, ys = 400, dx = xs / n, dy = ys / n, zoom = 3, offset = -0.5; var field = { |x| { |y| Complex(x / n + offset * zoom, y / n + offset * zoom) } ! n } ! n; w = Window("Julia set", bounds:Rect(200, 200, xs, ys)).front; w.view.background_(Color.black); w.drawFunc = { n.do { |x| n.do { |y| var z = field[x][y]; z = f.(z); field[x][y] = z; Pen.color = Color.gray(z.rho.linlin(-100, 100, 1, 0)); Pen.addRect( Rect(x * dx, y * dy, dx, dy) ); Pen.fill } } }; fork({ 6.do { w.refresh; 2.wait } }, AppClock) )