main.typ

#set page(width: auto, height: auto, margin: 2cm)

#{
	let width = 10
	let height = 10
	let grid = ((false,) * width,) * height
	
	let render_box(color) = box(
		outset: -0.1cm,
		radius: 4pt,
		width: 1cm,
		height: 1cm,
		stroke: black,
		fill: if color { white } else { black }
	)

	let render(grid) = {
		stack(
			dir: ttb,
			..grid.map(row => stack(
				dir: ltr,
				..row.map(cell => render_box(cell))
			))
		)
	}
	
	let step(grid) = {
		let new_grid = ((false,) * width,) * height
		
		for r in range(height) {
			for c in range(width) {
				let live = 0
				
				for dr in (-1, 0, 1) {
					for dc in (-1, 0, 1) {
						if dr == 0 and dc == 0 { continue }

						if 0 <= r + dr and r + dr < height and 0 <= c + dc and c + dc < width {
							if grid.at(r + dr).at(c + dc) {
								live += 1
							}
						}
					}
				}
				
				if grid.at(r).at(c) {
					new_grid.at(r).at(c) = live == 2 or live == 3
				} else {
					new_grid.at(r).at(c) = live == 3
				}
			}
		}
		
		new_grid
	}
	
	for cell in (
		(1, 3),
		(2, 1),
		(2, 3),
		(3, 2),
		(3, 3),
	) {
		let r = cell.at(0)
		let c = cell.at(1)

		grid.at(r).at(c) = true
	}
	
	render(grid)

	for i in range(10) {
		pagebreak()
		// line(length: 1cm * width)

		grid = step(grid)
		render(grid)
	}
}