81 lines
2.3 KiB
Swift
81 lines
2.3 KiB
Swift
//
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// Math.swift
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// Metaballs
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//
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// Created by Eryn Wells on 9/22/18.
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// Copyright © 2018 Eryn Wells. All rights reserved.
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//
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import Cocoa
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import Foundation
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import simd
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public typealias Float2 = packed_float2
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public typealias Float3 = float3
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public typealias Float4 = float4
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public typealias Matrix2x2 = float2x2
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public typealias Matrix3x3 = float3x3
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public typealias Matrix4x4 = float4x4
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extension Float2 {
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var CGPoint: CGPoint {
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return CoreGraphics.CGPoint(x: CGFloat(x), y: CGFloat(y))
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}
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}
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extension Float2: CustomStringConvertible {
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public var description: String {
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return "(\(x), \(y))"
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}
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}
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extension Float4 {
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public init(r: Float, g: Float, b: Float, a: Float) {
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self.init(r, g, b, a)
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}
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public init(color: NSColor) {
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if let convertedColor = color.usingColorSpace(NSColorSpace.deviceRGB) {
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self.init(Float(convertedColor.redComponent), Float(convertedColor.greenComponent), Float(convertedColor.blueComponent), Float(convertedColor.alphaComponent))
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} else {
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self.init()
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}
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}
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}
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extension Matrix3x3 {
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static func rotation(angle theta: Float) -> Matrix3x3 {
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return self.init(rows: [
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Float3(cos(theta), -sin(theta), 0.0),
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Float3(sin(theta), cos(theta), 0.0),
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Float3(0, 0, 1),
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])
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}
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static func translation(dx: Float, dy: Float) -> Matrix3x3 {
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var mat = self.init(1.0)
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mat.columns.2.x = dx
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mat.columns.2.y = dy
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return mat
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}
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}
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extension Matrix4x4 {
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/// Create a 4x4 orthographic projection matrix with the provided 6-tuple.
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/// @see https://en.wikipedia.org/wiki/Orthographic_projection
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static func orthographicProjection(top: Float32, left: Float32, bottom: Float32, right: Float32, near: Float32, far: Float32) -> Matrix4x4 {
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let rows = [
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Float4(2.0 / (right - left), 0.0, 0.0, -(right + left) / (right - left)),
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Float4(0.0, 2.0 / (top - bottom), 0.0, -(top + bottom) / (top - bottom)),
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Float4(0.0, 0.0, -2.0 / (far - near), -(far + near) / (far - near)),
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Float4(0.0, 0.0, 0.0, 1.0)
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]
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return Matrix4x4(rows)
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}
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}
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extension CGSize {
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init(size: Size) {
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self.init(width: CGFloat(size.x), height: CGFloat(size.y))
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}
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}
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