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reflection.p8
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pico-8 cartridge // http://www.pico-8.com
version 5
__lua__
l = {}
l.x1=64
l.y1=64
l.x2=128
l.y2=128
l.friction = 0.9
gravity = 0.1
balls = {}
dx = 0
dy = 0
function distance(p0,p1)
local dx = p0.x - p1.x
local dy = p0.y - p1.y
return sqrt(dx*dx+dy*dy)
end
function point_circle_collide(p, circle, radius)
local d = distance(p, circle)
if(d < radius)then
return true
end
return false
end
function line_circle_collide(l, b, nearest)
local circle = {}
circle.x = b.x
circle.y = b.y
local radius = b.radius
local a = {}
local b = {}
a.x = l.x1
a.y = l.y1
b.x = l.x2
b.y = l.y2
if (point_circle_collide(a, circle, radius)) then
if (nearest) then
nearest.x = a.x
nearest.y = a.y
end
return true
end
if (point_circle_collide(b, circle, radius)) then
if (nearest) then
nearest.x = b.x
nearest.y = b.y
end
return true
end
local x1 = a.x
local x2 = b.x
local y1 = a.y
local y2 = b.y
local cx = circle.x
local cy = circle.y
-- vector d
local dx = x2 - x1
local dy = y2 - y1
--vector lc
local lcx = cx - x1
local lcy = cy - y1
local dLen2 = dx * dx + dy * dy
local px = dx
local py = dy
if(dLen2 > 0)then
local dp = (lcx * dx + lcy * dy) / dLen2
px *= dp
py *= dp
end
if(not nearest)then
nearest.x = 0
nearest.y = 0
end
nearest.x = x1 + px
nearest.y = y1 + py
-- len2 of p
local pLen2 = px * px + py * py
return point_circle_collide(nearest, circle, radius) and pLen2 <= dLen2 and (px * dx + py * dy) >= 0
end
-- v=(vx, vy) VECTOR OF INCIDENCE
-- n=(nx, ny) NORMAL VECTOR, normalized
-- r=(rx, ry) REFLECTED VECTOR
function get_reflected_vector(v, n)
local dot_product = v.x*n.x + v.y*n.y
tdp = dot_product*2
rx = tdp*n.x
ry = tdp*n.y
rx -= v.x
ry -= v.y
r = {}
r.x = rx
r.y = ry
return r
end
function draw_balls()
for ball in all(balls) do
--color(6)
--line(ball.x,ball.y,ball.x+ball.vx,ball.y)
--color(9)
--line(ball.x,ball.y,ball.x,ball.y+ball.vy)
color(10)
line(ball.x,ball.y,ball.x+ball.vx,ball.y+ball.vy)
v = {}
v.x = ball.vx
v.y = ball.vy
n = {}
n.x = dx
n.y = dy
print(n.x .. " - " .. n.y, 0, 100)
n = normalize(n)
print(n.x .. " - " .. n.y, 0, 115)
local r = get_reflected_vector(v,n)
ball.r = r
color(1)
line(ball.x,ball.y,ball.x+r.x,ball.y+r.y)
if(ball.just_hit)then
color(2)
else
color(10)
end
circ(ball.x, ball.y, ball.radius)
end
end
function normalize(n)
local norm = {}
local magnitude = sqrt(n.x*n.x + n.y*n.y)
norm.x = n.x/magnitude
norm.y = n.y/magnitude
return norm
end
function update_balls()
for ball in all(balls) do
ball.vy += gravity
ball.y += ball.vy
ball.x += ball.vx
if(ball.y > 128 + ball.radius) then
ball.x = rnd()*128
ball.vy = 0
ball.y = -ball.radius
end
if(ball.x > 128 + ball.radius) then ball.x = 1 -ball.radius end
if(ball.x <= 0 - ball.radius) then ball.x = 127 + ball.radius end
if(line_circle_collide(l,ball,{}))then
if(not ball.just_hit)then
ball.just_hit = true
hit(l, ball)
end
end
if(ball.just_hit)then
if(ball.hit_timer > 0)then
ball.hit_timer -= 1
else
ball.just_hit = false
ball.hit_timer = ball.max_hit_timer
end
end
end
end
function hit(l, ball)
ball.vx = ball.r.x * l.friction
ball.vy = ball.r.y * l.friction
end
function make_ball()
local b = {}
b.x = rnd()*128
b.y = 0
b.vx = rnd()*-5 + rnd()*5
b.vy = rnd()*-5 + rnd()*5
b.radius = 8
b.r = {}
b.r.x = 0
b.r.y = 0
b.max_hit_timer = 40
b.hit_timer = b.max_hit_timer
b.just_hit = false
return b
end
function _init()
add(balls, make_ball())
add(balls, make_ball())
add(balls, make_ball())
add(balls, make_ball())
add(balls, make_ball())
add(balls, make_ball())
add(balls, make_ball())
end
function _update()
if (btn(0)) then l.x2=l.x2-1 end
if (btn(1)) then l.x2=l.x2+1 end
if (btn(2)) then l.y2=l.y2-1 end
if (btn(3)) then l.y2=l.y2+1 end
if (btnp(4)) then hit() end
if(l.x2 > 127) then l.x2=127 end
if(l.y2 > 127) then l.y2=127 end
if(l.x2 <= 0 ) then l.x2=0 end
if(l.y2 <= 0 ) then l.y2=0 end
update_balls()
end
function _draw()
rectfill(0,0,127,127,5)
color(7)
line(l.x1,l.x1,l.x2,l.y2)
dx = l.x2-l.x1
dy = l.y2-l.y1
color(2)
line(-dy+64,dx+64,dy+64,-dx+64)
draw_balls()
end
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