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bezier.p8
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pico-8 cartridge // http://www.pico-8.com
version 8
__lua__
-- bezier curves
-- by laurent victorino
-- first point
p1={}
p1.x=10
p1.y=117
-- first point control
c1={}
c1.x=100
c1.y=117
-- end point
p2={}
p2.x=117
p2.y=10
-- end point control
c2={}
c2.x=17
c2.y=10
-- used to define which control is selected
c2_selected = false
function _update()
-- choose selected control point
selection=c1
if c2_selected==true then selection=c2 end
-- arrows move control point
if btn(0) then selection.x-=1 end
if btn(1) then selection.x+=1 end
if btn(2) then selection.y-=1 end
if btn(3) then selection.y+=1 end
-- c key change the selected control
if btn(4) and btnp(4) == true then c2_selected=(c2_selected==false) end
end
function _draw()
-- clear the screen
rectfill(0,0,127,127,5)
-- define which color to use for selected/unselected controls
c1color=13
c2color=13
if c2_selected == true then c1color=1 else c2color=1 end
-- draw lines from point to controls
line(p1.x,p1.y,c1.x,c1.y,c1color)
line(p2.x,p2.y,c2.x,c2.y,c2color)
-- draw the curve using a set of lines (20)
pp=beziercurve(0)
segments=20
for i=1,segments-1 do
p=beziercurve(i/(segments-1))
line(pp.x,pp.y,p.x,p.y,8)
pp=p
end
-- draw start and end points
rectfill(p1.x-1,p1.y-1,p1.x+1,p1.y+1,8)
rectfill(p2.x-1,p2.y-1,p2.x+1,p2.y+1,8)
-- draw controls
rectfill(c1.x-1,c1.y-1,c1.x+1,c1.y+1,c1color)
rectfill(c2.x-1,c2.y-1,c2.x+1,c2.y+1,c2color)
-- helpers
print("arrows: move control",1,1,0)
print("c: switch control",1,7,0)
end
-- convert t (from 0 to 1) into {x,y} table
-- http://devmag.org.za/2011/04/05/bzier-curves-a-tutorial/
function beziercurve(t)
u=1-t
tt=t*t
uu=u*u
uuu=uu*u
ttt=tt*t
p={}
p.x=(uuu*p1.x)+(3*uu*t*c1.x)+(3*u*tt*c2.x)+ttt*p2.x
p.y=(uuu*p1.y)+(3*uu*t*c1.y)+(3*u*tt*c2.y)+ttt*p2.y
return p
end
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