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|
--
--------------------------------------------------------------------------------
-- FILE: automata-life.lua
-- DESCRIPTION: Conway's Game of Life?
-- REQUIREMENTS: ConTeXt MkIV / Simple Slides module
-- BUGS: almost infinite but not quite
-- AUTHOR: Philipp Gesang (Phg), <megas.kapaneus@gmail.com>
-- VERSION: 1.0
-- CREATED: 05/08/10 12:03:11 CEST
--------------------------------------------------------------------------------
--
gol = {}
gol.helpers = {}
local C, Cs, Ct, P, R, S, match = lpeg.C, lpeg.Cs, lpeg.Ct, lpeg.P, lpeg.R, lpeg.S, lpeg.match
-- http://lua-users.org/lists/lua-l/2009-06/msg00343.html
gol.helpers.utfchar = R("\000\127") +
R("\194\223") * R("\128\191") +
R("\224\240") * R("\128\191") * R("\128\191") +
R("\241\244") * R("\128\191") * R("\128\191") * R("\128\191")
-- by Roberto, captures everything in a table
-- http://www.inf.puc-rio.br/~roberto/lpeg/lpeg.html
function gol.helpers.split (s, sep)
sep = P(sep)
local elem = C((1 - sep)^0)
local p = Ct(elem * (sep * elem)^0) -- make a table capture
return match(p, s)
end
-- Modified to match left and right of one separator only.
function gol.helpers.split_once (s, sep)
local utfchar = gol.helpers.utfchar
sep = S(sep)
local left = C((1 - sep)^0)
local right = C((utfchar)^0)
local p = Ct(left * sep * right)
return p:match(s)
end
-- Modified stripper from Roberto to support trimming other chars than whitespace
function gol.helpers.strip(str, chars)
local chars = chars or " \t\v\n"
chars = S(chars)
local nochars = 1 - chars
local stripper = chars^0 * C((chars^0 * nochars^1)^0)
return match(stripper,str) or ""
end
function gol.helpers.dead_row(len)
local row = ""
local dead = "0"
for i=1, len, 1 do
row = row .. dead
end
return row
end
-- Read rules of type "B3[/.-]S23"
-- => “birth” of a new cell if exactly 3 adjacent cells are “alive”
-- => “staying alive” of cells with two or three adjacent “live” cells
function gol.parse_rule (raw_rule)
local help = gol.helpers
local b_s = help.split_once (raw_rule, "/.-")
local tmp_b = help.strip(b_s[1], "B")
local tmp_s = help.strip(b_s[2], "S")
local b, s = {}, {}
-- single digits express birth/stay conditions
local n = 1
repeat
table.insert( b, tonumber(tmp_b:sub(n,n)) )
n = n + 1
until n > string.len(tmp_b)
n = 1
repeat
table.insert( s, tonumber(tmp_s:sub(n,n)) )
n = n + 1
until n > string.len(tmp_s)
return { birth = b, stay = s }
end
function gol.apply_rule (cell, cnt, rule, fade, keep)
--local live, dead = "1", "0"
--local new = dead
local new = 0
local live = "1"
local stay = rule.stay
local birth = rule.birth
-- checking if cnt matches the numbers from the conditions list
if cell == live then
for _, cond in ipairs(stay) do
if cnt == cond then
new = "1"
break
end
end
else -- ==dead
for _, cond in ipairs(birth) do
if cnt == cond then
new = "1"
break
end
end
end
if fade then
if not (live == new) then
local add = tonumber (cell)
if not add then -- == "D"
add = "D"
else
if add and add < 9 and add ~= 0 then
add = add + 1
elseif keep and add and add == 9 then -- marking dead cells once alive
add = "D"
else
add = 0
end
end
new = tostring(add)
end
end
return new
end
gol.formats = {}
gol.formats[".gol"] = function (fname)
local tmp = {} -- return an array
local len -- check for equal line length
if fname:sub(-4,-1) ~= ".gol" then
fname = fname .. ".gol"
end
local file = assert(io.open(fname, "r"), "Not a file: " .. fname)
local data = file:read("*all")
file:close()
local cell = R"09" + P"D"
local nl = Cs(P"\n") / ""
local line = Cs(cell^1) / function (l)
if not len then len = string.len(l) end
if len ~= string.len(l) then
-- inconsistent horizontal sizes; kill off program
return nil
else
table.insert(tmp,l)
end
end
local gol_parser = Cs(line * (nl + line)^0)
if gol_parser:match(data) then
if context then
context.writestatus("simpleslides", "Sucessfully loaded frame from "..fname..".")
end
return tmp
else
return false
end
end
gol.formats[".cell"] = function (fname)
return false -- stub
end
gol.formats[".rle"] = function (fname)
environment.loadluafile( "parser-rle" )
return gol.rleparser(fname)
end
function gol.extend_area(rows)
local tmp = {}
local c = mplife.setup.current
context.writestatus("simpleslides","Extending area horizontally by "..c.extendx.."cells.")
context.writestatus("simpleslides","Extending area vertically by "..c.extendy.."cells.")
if c.extendy > 0 then
local row = ""
for i=1, rows[1]:len(), 1 do -- buildling an empty row
row = row.."0"
end
for i=1, c.extendy, 1 do
table.insert(tmp, row)
end
for _, r in ipairs(rows) do
table.insert(tmp, r)
end
for i=1, c.extendy, 1 do
table.insert(tmp, row)
end
end
if c.extendx > 0 then
local add = ""
for i=1, c.extendx, 1 do -- building an empty pre- and suffix
add = add .. "0"
end
for n, r in ipairs(tmp) do
tmp[n] = add .. r .. add
end
end
return tmp
end
function gol.parse_file (fname)
local p_suf = P"." * (1-P".")^3 * -P(1)
local p_fn = (1-p_suf)^1 * C(p_suf)
local suffix = p_fn:match(fname) or ".gol" -- assume .gol format as default
local tmp = gol.formats[suffix] ( fname )
if mplife and mplife.setup.current and (
mplife.setup.current.extendx > 0 or
mplife.setup.current.extendy > 0) then
tmp = gol.extend_area(tmp)
end
return tmp
end
--- Computing single lines and whole frames and intervals thereof
function gol.next_line (rows, rule)
local live = "1"
local fade = false
if mplife then
fade = mplife.setup.current.fade
end
local n = 1
local max = string.len(rows[2])
local cell = R("09") + P("D")
local nocell = 1-cell
local ce = Cs(cell) / function (current)
local env = {}
local lpos, rpos -- positions left of / right of current
-- toroidal, flips over at borders
if n == 1 then
lpos = max
else
lpos = n - 1
end
if n == max then
rpos = 1
else
rpos = n + 1
end
-- +---+---+---+
-- |nw | n | ne|
-- +---+---+---+
-- |w | c | e| env[ironment] of current
-- +---+---+---+
-- |sw | s | se|
-- +---+---+---+
env.nw = string.sub( rows[1], lpos, lpos )
env.n = string.sub( rows[1], n , n )
env.ne = string.sub( rows[1], rpos, rpos )
env.w = string.sub( rows[2], rpos, rpos )
env.e = string.sub( rows[2], lpos, lpos )
env.sw = string.sub( rows[3], lpos, lpos )
env.s = string.sub( rows[3], n , n )
env.se = string.sub( rows[3], rpos, rpos )
-- counting live cells in the environment
local cnt = 0
for _, chr in pairs(env) do
if chr == live then
cnt = cnt + 1
end
end
n = n + 1
--
-- adding new cell according to ruleset
return gol.apply_rule(current, cnt, rule, fade, true)
end
local noce = Cs(nocell) / ""
local c = Cs(ce * (noce + ce)^0)
return c:match(rows[2])
end
function gol.next_frame (old, rule)
local new = {}
local n = 1
repeat
local rows = {}
rows[2] = old[n] -- current
-- toroidal
rows[1] = old[n-1] or old[#old] -- last
rows[3] = old[n+1] or old[1] -- next
new[n] = gol.next_line( rows, rule )
n = n + 1
until n > #old
return new
end
-- get the nth frame starting from init
function gol.frame (init, rule, n)
local frame = init
local gnext = gol.next_frame
for i=1, n, 1 do
frame = gnext( frame, rule )
end
return frame
end
-- get array of frames until nth [from offset]
function gol.frames (init, rule, n, offset)
local frames = {}
local last
local gnext = gol.next_frame
-- “fast forward”
if offset then
last = gol.frame( init, rule, offset )
else
last = init
end
for i=1, n, 1 do
frames[i] = last
last = gnext( last, rule )
end
return frames
end
--- pretty printing frames (ascii)
-- pp a heading: len should exceed length of mark + 4
function gol.pre_section (len, mark)
local mark = mark or "Frame"
local t = "-"
local s = t..t.." "..mark.." "
if s:len() < len then
for n=1, len - s:len(), 1 do
s = s..t
end
end
io.write ("\n\n"..s.."\n")
end
function gol.pre_frame (frame)
local repl = {
["0"] = "·",
["1"] = "O",
["2"] = "2",
["3"] = "3",
["4"] = "4",
["5"] = "5",
["6"] = "6",
["7"] = "7",
["8"] = "8",
["9"] = "9",
}
local cell = R"09" + P"D"
local nocell = 1-cell
local ce = Cs(cell) / repl
local noce = Cs(nocell) / ""
local c = Cs(ce * (noce + ce)^0)
for j, row in ipairs(frame) do
io.write("\n" .. c:match(row))
end
end
function gol.pre_movie (frames, section)
for i, frame in ipairs(frames) do
if section then
local l = string.len(frame[1])
gol.pre_section( l, "Nr. " .. tostring(i) )
end
gol.pre_frame( frame )
end
io.write("\n")
end
return gol
|