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pico-8 cartridge // http://www.pico-8.com
version 8
__lua__
function identity(x)
return x
end
function sort(t,key)
if (key==nil) key=identity
msort(t,1,#t,key)
end
function msort(t,a,b,key)
if (a==b) return
local sp=flr((a+b)/2)
if b-a>=2 then
msort(t,a,sp,key)
msort(t,sp+1,b,key)
end
local ai,bi=a,sp+1
local ex={}
function exa()
add(ex,t[ai])
ai+=1
end
function exb()
add(ex,t[bi])
bi+=1
end
while ai<=sp and bi<=b do
if key(t[ai])>key(t[bi]) then
exb()
else
exa()
end
end
while ai<=sp do exa() end
while bi<=b do exb() end
ai=1
for i=a,b do
t[i]=ex[ai]
ai+=1
end
end
function pickpop(a)
-- remove a random item from
-- the array and return it
-- does not preserve order
-- o(1)
local i=flr(rnd(#a))+1
local ret=a[i]
a[i]=a[#a]
a[#a]=nil
return ret
end
function grid(w,h)
local wh=w*h
local g={w=w,h=h}
g.offs = function(x,y)
return x+y*w
end
g.xy = function(offs)
return offs%w,flr(offs/w)
end
g.dcdl = function(l)
-- decode link
return
l%w,
flr(l/w)%h,
flr(l/wh)
end
g.spll = function(l)
-- split link
x,y,ori = g.dcdl(l)
return x,y,x+1-ori,y+ori,ori
end
g.encl = function(
-- encode link
x,y,ori)
return ori*wh+y*w+x
end
g.alllinks = function()
t={}
for y=0,h-2 do
for x=0,w-1 do
add(t,g.encl(x,y,1))
end
end
for y=0,h-1 do
for x=0,w-2 do
add(t,g.encl(x,y,0))
end
end
return t
end
g.prl = function(l)
--print link
x,y,ori = g.dcdl(l)
print(x..","..y.."/"..ori)
end
return g
end
function maze(g)
local m={}
local cells={}
local colors={}
for i=0,g.w*g.h-1 do
cells[i]=0
end
m.g=g
m.haslink = function(l)
local x,y,ori=g.dcdl(l)
local v=cells[x+y*g.w]
return band(v,ori+1)!=0
end
m.has = function(x,y,ori)
if x<0 or x>=g.w then
return false
end
if y<0 or y>=g.h then
return false
end
return band(
cells[x+y*g.w],
ori+1) != 0
end
m.getcol = function(x,y)
return colors[x+y*g.w]
end
m.alllinks = function(state)
if (state==nil) state=true
local ret={}
for l in all(g.alllinks()) do
if m.haslink(l)==state then
add(ret,l)
end
end
return ret
end
m.kruskal = function()
local k={}
function super(i)
local s=k[i]
if (s==nil) then
k[i]=i
return i
end
if (s==i) return s
k[i]=super(s)
return k[i]
end
function superxy(x,y)
return g.xy(
super(g.offs(x,y)))
end
function kjoin(l)
local x1,y1,x2,y2,ori=
g.spll(l)
local a=g.offs(x1,y1)
local b=g.offs(x2,y2)
local aa=super(a)
local bb=super(b)
if (aa==bb) return
--merge discrete sets
k[max(aa,bb)]=min(aa,bb)
--form link
cells[a]=bor(cells[a],ori+1)
end
local links=g.alllinks()
while #links>0 do
kjoin(pickpop(links))
end
end
m.tighten=function(n)
local links=m.alllinks(false)
for i=1,n do
local l=pickpop(links)
local x,y,ori=g.dcdl(l)
local a=x+g.w*y
cells[a]=bor(cells[a],ori+1)
end
end
m.color=function(n)
local allcells={}
for i=0,g.w*g.h-1 do
allcells[i+1]=i
end
-- seeds
for i=0,n-1 do
while true do
local idx=flr(rnd(#cells))
if colors[idx]==nil then
colors[idx]=i
break
end
end
end
while #allcells>0 do
local c=pickpop(allcells)
if colors[c]==nil then
local ns={}
function nadd(nei,ori,lc)
if band(cells[lc],ori+1)!=0 then
add(ns,colors[nei])
end
end
local x,y=g.xy(c)
if (x>0) nadd(c-1,0,c-1)
if (y>0) nadd(c-g.w,1,c-g.w)
if (x<g.w-1) nadd(c+1,0,c)
if (y<g.h-1) nadd(c+g.w,1,c)
if #ns==0 then
add(allcells,c)
else
colors[c]=ns[flr(rnd(#ns))+1]
end
end
end
end
m.draw=function()
for i=0,g.w*g.h-1 do
local c=cells[i]
local x,y=g.xy(i)
x*=8 y*=8
rectfill(x+2,y+2,x+5,y+5,colors[i]%8+8)
rectfill(x+3,y+3,x+4,y+4,flr(colors[i]/8)+8)
if c%2!=0 then
rectfill(x+6,y+3,x+9,y+4,7)
end
if band(c,2)!=0 then
rectfill(x+3,y+6,x+4,y+9,7)
end
end
end
return m
end
worldseed=1234
function prng(n, ...)
srand(worldseed)
for s in all({...}) do
srand(rnd()+s)
end
return rnd(n)
end
function contains(arr, v)
for x in all(arr) do
if (x==v) return true
end
return false
end
function test_pickpop()
local xs={1,2,3}
local x=pickpop(xs)
assert(x==1 or x==2 or x==3)
assert(#xs==2)
assert(not contains(xs, x))
printh('test_pickpop ok')
end
function test_grid()
local x,y,ori
local g=grid(4,4)
assert(g.offs(0,0)==0)
assert(g.offs(1,0)==1)
assert(g.offs(3,0)==3)
assert(g.offs(1,1)==5)
assert(g.offs(2,3)==14)
assert(g.offs(3,3)==15)
x,y=g.xy(14)
assert(x==2 and y==3)
x,y=g.xy(3)
assert(x==3 and y==0)
local links=g.alllinks()
assert(#links==24)
assert(contains(links,g.encl(0,0,0)))
assert(contains(links,g.encl(2,0,0)))
assert(contains(links,g.encl(3,0,1)))
assert(contains(links,g.encl(0,3,0)))
printh('test_grid ok')
end
function test_maze()
-- It's pretty hard to test this
-- thoroughly. For now let's
-- settle for the maze having
-- the right number of links.
-- It should always be one less
-- than the number of cells.
local g=grid(4,4)
local m=maze(g)
m.kruskal()
local links=m.alllinks()
assert(#links==15)
links=m.alllinks(false)
assert(#links==9)
g=grid(16,16)
m=maze(g)
m.kruskal()
links=m.alllinks()
assert(#links==255)
links=m.alllinks(false)
assert(#links==225)
m.tighten(50)
links=m.alllinks()
assert(#links==305)
links=m.alllinks(false)
assert(#links==175)
m.color(64)
m.draw()
printh('test_maze ok')
end
function _init()
cls()
test_pickpop()
test_grid()
test_maze()
end
__gfx__
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__gff__
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__map__
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__music__
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