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torus2.p8
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torus2.p8
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pico-8 cartridge // http://www.pico-8.com
version 8
__lua__
-- torus
torus_rings = 12
torus_sides = 12
torus_camera = {0, 0, -2.5, 64}
torus_vertices = {}
torus_transformed_vertices = {}
function torus_init(rings, sides, outer_radius, inner_radius)
local rho = 0
local rho_incr = 1 / (rings * sides)
for u=0,rings-1 do
for v=0,sides-1 do
local theta = v / sides
local x = (outer_radius + inner_radius * cos(theta)) * cos(rho)
local y = (outer_radius + inner_radius * cos(theta)) * sin(rho)
local z = inner_radius * sin(theta)
add(torus_vertices, {x, y, z})
rho += rho_incr
end
end
end
function project(vertex, cam)
local mult = cam[4]
local d = (vertex[3]-cam[3])
local x = (vertex[1]-cam[1]) * mult / d + 64
local y = -(vertex[2]-cam[2]) * mult / d + 64
return x, y
end
function torus_update(frame)
local rx = frame * 0.001
local ry = frame * 0.01
local rz = 0 --frame * 0.0001
local s = 1 --+ 0.5 * sin(frame * 0.01)
torus_transformed_vertices = transform_vertices(torus_vertices, rx, ry, rz, s, s, s)
end
function transform_vertices(vertices, rx, ry, rz, sx, sy, sz)
transformed_vertices = {}
for v in all(vertices) do
nv = {}
nv[1] = v[1] * sx
nv[2] = v[2] * sy
nv[3] = v[3] * sz
nv = rotate_vertex(nv, 1, rx)
nv = rotate_vertex(nv, 2, ry)
nv = rotate_vertex(nv, 3, rz)
nv[3] -= 20 -- todo add translation param
add(transformed_vertices, nv)
end
return transformed_vertices
end
function rotate_vertex(v,a,r)
-- figure out which axis we're rotating on
if a==1 then
x,y,z = 3,2,1
elseif a==2 then
x,y,z = 1,3,2
elseif a==3 then
x,y,z = 1,2,3
end
_x = cos(r)*(v[x]) - sin(r) * (v[y]) -- calculate the new x location
_y = sin(r)*(v[x]) + cos(r) * (v[y]) -- calculate the new y location
nv = {}
nv[x] = _x
nv[y] = _y
nv[z] = v[z]
return nv
end
function torus_draw()
torus_draw_lines()
end
function torus_draw_dots()
for vertex in all(transformed_vertices) do
local x, y = project(vertex, torus_camera)
pset(x, y, 0)
end
end
function torus_draw_lines()
local palette = {7, 8}
local n = #transformed_vertices
if frame < n then
n = max(1, frame)
end
for i = 1,n do
local x1, y1 = project(transformed_vertices[i], torus_camera)
local i += 1
if i > #transformed_vertices then
i = 1
end
local x2, y2 = project(transformed_vertices[i], torus_camera)
line(x1, y1, x2, y2, palette[1+(i % #palette)])
end
end
-- bg
function bg_update(frame)
bg_angle = frame * 0.025
bg_ampl = 10 + 8 * sin(frame * 0.025)
bg_base = 30 + 16 * sin(frame * 0.01)
end
function bg_draw()
cls(0x0c)
col = 0xcd
for y=0,127 do
local w = bg_base + bg_ampl * sin(bg_angle + y / 128)
local offset = y * 64 + shr(64-w, 1)
memset(0X6000+offset, col, abs(w))
col = swap_nibbles(col)
end
end
function swap_nibbles(x)
local lo = shr(band(col, 0xf0), 4)
local hi = shl(band(col, 0x0f), 4)
return bor(hi, lo)
end
-- bubbles
function bubbles_init()
bubbles = {}
for i=1,7 do
local bubble = {
x=10+rnd(100),
y=128,
speed=rnd(3),
exc=rnd(3)
}
add(bubbles, bubble)
end
end
function bubbles_update(frame)
for bubble in all(bubbles) do
if bubble.y > -8 then
bubble.y -= bubble.speed
bubble.x += sin(frame*0.01*bubble.exc)
else
bubble.x = 10+rnd(100)
bubble.y = 128
bubble.speed=rnd(3)
bubble.exc=rnd(3)
end
end
end
function bubbles_draw()
for bubble in all(bubbles) do
spr(2, bubble.x, bubble.y)
end
end
-- frame
function frame_draw()
-- rounded corners
spr(1, 0, 0, 1, 1, false, false)
spr(1, 120, 0, 1, 1, true, false)
spr(1, 0, 120, 1, 1, false, true)
spr(1, 120, 120, 1, 1, true, true)
end
-- main
function _init()
frame = 0
torus_init(torus_rings, torus_sides, 10, 4)
bubbles_init()
end
function _update()
bg_update(frame)
torus_update(frame)
bubbles_update(frame)
frame += 1
end
function _draw()
palt(0, false)
palt(11, true)
bg_draw()
torus_draw()
spr(16,0,48,16,4)
bubbles_draw()
frame_draw()
end
__gfx__
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__music__
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