1-y_render.rb

# simulate template rendering
class Template < Struct.new(:name)
  def render
    puts "#{name}_begin"
    r = "#{name}_begin\n"
    r << yield if block_given?
    puts "#{name}_end\n"
    r << "#{name}_end\n"
  end
end

def Y f
  g = -> h, *x { f[h[h], *x] }.curry 2
  g[g]
end

YRender = Y -> f, n, layouts {
  if n == 0
    layouts[0].render
  else
    layouts[n].render { f.call n - 1, layouts }
  end
}

def render_all_y layouts
  YRender.call (layouts.size - 1), layouts
end

def render_all_inside_out layouts
  layouts.inject '' do |r, e|
    e.render { r }
  end
end

def render_all_outside_in layouts
  outside, *inside = layouts.reverse.map do |e|
    e.render { '<render:yield/>' }
  end
  inside.each do |r|
    outside.gsub! '<render:yield/>', r
  end
  outside
end

def render_all_in_order layouts
  top = layouts.pop
  if layouts.empty?
    top.render
  else
    top.render { render_all_in_order layouts }
  end
end

layouts = -> { %w'page layout2 layout1'.map{|name| Template.new name } }
puts "\n== Y =="
render_all_y layouts[]
puts "\n== inside -> outside =="
render_all_inside_out layouts[]
puts "\n== ouside -> inside =="
render_all_outside_in layouts[]
puts "\n== recursive in order =="
render_all_in_order layouts[]

2-conclusion.md

Render order of YRender is the same as output order, so it can be easily modified for stream rendering.