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torus.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)
for u=0,rings-1 do
local rho = u / rings
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})
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 = 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_rings(torus_rings, torus_sides)
end
function torus_draw_dots()
for vertex in all(transformed_vertices) do
local x, y = project(vertex, torus_camera)
if vertex[3] < 0 then
pset(x, y, 6)
else
pset(x, y, 7)
end
end
end
function torus_draw_rings(rings, sides)
palette = {8, 9, 10, 7, 10, 9, 8}
for ring=0,rings-1 do
local base = 1 + ring * sides
for s=0,sides-1 do
local x1, y1 = project(transformed_vertices[base+s], torus_camera)
local x2, y2 = project(transformed_vertices[base+(s+1)%sides], torus_camera)
line(x1, y1, x2, y2, palette[1+(ring+s) % #palette])
end
end
end
-- bg
function bg_update(frame)
bg_ang_X = frame * 0.0095
bg_amp_X = 8
bg_ang_y = frame * 0.0090
bg_amp_y = 8
end
function bg_draw()
cls(2)
for y=0,7 do
for x=0,7 do
local u = 8 + x*16 + bg_amp_X*sin(bg_ang_X+x/16)
local v = 8 + y*16 + bg_amp_y*sin(bg_ang_y+y/16)
--pset(u, v, 13)
spr(16+((v-u)/4)%5, u, v)
end
end
rect(1, 1, 126, 126, 5)
rect(3, 3, 124, 124, 0)
print("45!p!rn3 <<<<<<<<<<<<<<<<<<<<", 7, 6, 14)
print(">>>>>>>>>>>>>>>>>>>>>>>> 20!7", 7, 117, 14)
end
-- main
function _init()
frame = 0
torus_init(torus_rings, torus_sides, 10, 4)
end
function _update()
bg_update(frame)
torus_update(frame)
frame += 1
end
function _draw()
bg_draw()
torus_draw()
end
__gfx__
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__music__
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