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treegen.p8
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pico-8 cartridge // http://www.pico-8.com
version 7
__lua__
-- tree generation
-- basic space colonization algorithm
-- by laurent victorino
tree={} --tree node list
influence={} --influence list
newnodedist=5 -- distance between tree nodes
influencedist=50 -- attraction max distance
influencekilldist=10 -- distance at which an influence node is killed
crownw=64 -- tree crown width
crownh=64 -- tree crown height
crownx=64 -- tree crown x center position
cronwy=64 -- tree crown y center position
generate=false -- has generation started?
function _init()
-- randomize properties
newnodedist=rnd(10)+2
influencedist=rnd(60)+20
influencekilldist=rnd(20)+8
crownx=64+rnd(40)*(rnd(1)-rnd(1))
crowny=64+rnd(40)*(rnd(1)-rnd(1))
crownw=rnd(60)+30
crownh=rnd(60)+20
--
generate = false
initialize_root()
initialize_crown()
end
-- initialize first tree node
function initialize_root()
tree={}
add(tree,newnode(rnd(10)+54,127,nil,7))
end
-- initialize crown size and influence
function initialize_crown()
influence={}
-- create an eliptic crown composed of 100->400 influence nodes
for i=0,rnd(100)+300 do
a = rnd(1)
x = crownx + rnd(crownw) * cos(a)
y = crowny + rnd(crownh) * sin(a)
-- add a new influence to the list
add(influence,newnode(x,y,nil,5))
end
end
function _update()
-- x button: generate a new set
if btn(4) and btnp(4) == true then
_init()
end
-- c button: start generation
if btn(5) and btnp(5) == true then
generate=true
end
-- generation loop
if #influence != 0 and generate==true then
-- reset all tree nodes influence
for c in all(tree) do c.resetinfluence(c) end
-- is there any remaining influence?
flag=false
-- for every influence node
-- check what node they it influenced
for i in all(influence) do
closest=nil
for t in all(tree) do
if distvector(i,t) < influencedist
and (closest==nil or abs(distvector(i,t)) < abs(distvector(i,closest))) then
flag=true
closest=t
end
end
if closest!=nil then
closest.addinfluence(closest,i)
end
end
-- if no influence remains stop the generation
if flag == false then
influence={}
generate=false
return
end
-- for every tree node
-- compute the influence vector
-- and add a new tree node to the list
for t in all(tree) do
if #t.influence != 0 then
medv={}
medv.x=0
medv.y=0
for i in all(t.influence) do
dist=distvector(i,t)
medv.x+=(i.x-t.x)/dist -- closest influence nodes are more powerful
medv.y+=(i.y-t.y)/dist
-- destroy influence if too close
if dist < influencekilldist then
del(influence,i)
end
end
-- compute the influence vector
medv.x /= #t.influence
medv.y /= #t.influence
-- normalize influence vector
newn=normalize(medv)
-- compute new node position
newn.x=t.x+newnodedist*newn.x
newn.y=t.y+newnodedist*newn.y
-- add new node to the list
add(tree,newnode(newn.x,newn.y,t))
end
end
end
end
function _draw()
cls()
-- draw tree lines
for t in all(tree) do
if t.parent != nil then
line(t.x,t.y,t.parent.x,t.parent.y,4)
end
end
-- draw influence
for i in all(influence) do
i.draw(i,8)
end
-- helpers
color(13)
print("c:new set\tx:generate")
print("nodes\t\t\t\t\tcount:"..#tree.."\tdist:"..flr(newnodedist))
print("influence\tcount:"..#influence.."\tdist:"..flr(influencedist))
if #influence==0 then
print("generation is over.",0,123)
end
end
-- generate a new node
-- params: xpos,ypos,parent node to be attached to
function newnode(x,y,parent)
n={}
n.x=x
n.y=y
-- set parent
n.parent=parent
-- list of influence node
n.influence={}
-- draw node as crosses
n.draw=function(node,col)
line(node.x,node.y-1,node.x,node.y+1,col)
line(node.x-1,node.y,node.x+1,node.y,col)
end
-- add an influence node to the list
n.addinfluence=function(node,influence)
add(node.influence,influence)
end
-- reset the influence list
n.resetinfluence=function(node)
node.influence={}
end
return n
end
-- return the distance between
-- two vectors
function distvector(v1,v2)
vx=v1.x-v2.x
vy=v1.y-v2.y
return sqrt(vx*vx+vy*vy)
end
-- return the magnitude of a vector
function magnitude(v)
return sqrt(v.x*v.x+v.y*v.y)
end
-- return a normalized vector
function normalize(v)
vp={}
vp.x=v.x/magnitude(v)
vp.y=v.y/magnitude(v)
return vp
end
__gfx__
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__music__
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