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3d_rgb_perlin_sphere_v.3.1.lua
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-- 3d perlin sphere v.3.1
-- produces grayscale or rgb noise mapped to a 3d sphere
-- adds internal rgb distortion with grayscale control
function prepare()
-- constants
ROUGHNESS_THRESHOLD = 0.00000001
REMAINDER_THRESHOLD = 0.00000001
details = get_intslider_input(DETAILS)
NOISE_SIZE = get_slider_input(SCALE)
frame = OUTPUT_HEIGHT / OUTPUT_WIDTH * 2
-- input values
OCTAVES_COUNT = math.floor(details)
remainder = details - OCTAVES_COUNT
if (remainder > REMAINDER_THRESHOLD) then
OCTAVES_COUNT = OCTAVES_COUNT + 1
end
-- tilt & rotation precalc
radius = get_slider_input(RADIUS)
angle = get_angle_input(ROTATION)
angle_r = math.rad(angle)
angle_g = math.rad(angle + 240)
angle_b = math.rad(angle + 120)
cosa_r = math.cos(angle_r)
sina_r = math.sin(angle_r)
cosa_g = math.cos(angle_g)
sina_g = math.sin(angle_g)
cosa_b = math.cos(angle_b)
sina_b = math.sin(angle_b)
tilt = math.rad(get_angle_input(TILT))
cosa_t = math.cos(tilt)
sina_t = math.sin(tilt)
p = {}
math.randomseed(get_intslider_input(SEED))
for i=0,255 do
p[i] = math.random(255)
p[256+i] = p[i]
end
if (get_checkbox_input(HDR)) then
hdr = true
else
hdr = false
end
if (get_checkbox_input(RGBA_NOISE)) then
rgban = true
else
rgban = false
end
if ( get_checkbox_input(MAP)) then
map = true
else
map = false
end
end;
function get_sample(x, y)
local contrast = (get_sample_grayscale(x, y, CONTRAST) * 2) - 1
local factor = (259 * (contrast + 1)) / (1 * (259 - contrast))
-- noise generation
local roughness = (ROUGHNESS_THRESHOLD +
(get_sample_grayscale(x, y, ROUGHNESS) * 0.5 + 0.5) *
(1.0 - ROUGHNESS_THRESHOLD)) -- * 1.875
OCTAVES = {}
local cell_size = (math.log(NOISE_SIZE + 0.0001) * 0.99)
local scale = roughness
local octave_index
for octave_index = 1, OCTAVES_COUNT do
if (scale < ROUGHNESS_THRESHOLD) then
OCTAVES_COUNT = octave_index - 1
break
end
OCTAVES[octave_index] = {cell_size, scale}
cell_size = cell_size * 2.0
scale = scale * roughness
end
if (remainder >= 0.00000001) then
OCTAVES[OCTAVES_COUNT][2] = OCTAVES[OCTAVES_COUNT][2] * remainder
end
NORM_FACTOR = 0
for octave_index = 1, OCTAVES_COUNT do
NORM_FACTOR = NORM_FACTOR + OCTAVES[octave_index][2]-- ^ 2
end
-- map generation
local dispx = x * frame * math.pi
local dispy = y * math.pi
mx = math.cos(dispx) * math.sin(dispy)
my = math.sin(dispx) * math.sin(dispy)
mz = math.cos(dispy)
-- distortion by neighboring channel noise, modified by color input (power)
local dx, dy, dz, da = get_sample_map(x, y, DISTORTION) -- * 2
-- noise or gradient calculations can be assigned to variables here
local mr, mg, mb, ma = 0, 0, 0, 0
local dr, dg, db, da = 0, 0, 0, 0
local octave_index
for octave_index = 1, (OCTAVES_COUNT/10) do
local size = OCTAVES[octave_index][1]
local opacity = OCTAVES[octave_index][2]
local noise_z = octave_index
dr = dr + (opacity * noise(mx*size,my*size,((mz*size)+noise_z)+OUTPUT_WIDTH * -1)) * dx
dg = dg + (opacity * noise(mx*size,my*size,((mz*size)+noise_z)+OUTPUT_WIDTH * -2)) * dy
db = db + (opacity * noise(mx*size,my*size,((mz*size)+noise_z)+OUTPUT_WIDTH * -3)) * dz
mr = mr + (opacity * noise(mx*size+dr,my*size+dg,((mz*size)+noise_z+db)+OUTPUT_WIDTH))
mg = mg + (opacity * noise(mx*size+dg,my*size+db,((mz*size)+noise_z+dr)+OUTPUT_WIDTH * 2))
mb = mb + (opacity * noise(mx*size+db,my*size+dr,((mz*size)+noise_z+dg)+OUTPUT_WIDTH *3))
end
mr = (mr+1.0)/2.0
mg = (mg+1.0)/2.0
mb = (mb+1.0)/2.0
ma = ((mr+mg+mb)/2)^2
-- sphere generation and manipulation
-- origin to center
local px = (x*2.0) - 1.0
local py = (y*2.0) - 1.0
local px_0 = px
local py_0 = py
-- set sphere radius (max == screen height)
-- displaces but only in circumference;
-- rotation and tilt have to be applied, must also apply x,y,z influence on shape
px = px/radius -- ((radius+mr)/2)
py = py/radius -- ((radius+mg)/2)
-- px = px/((radius+mr)/2)
-- py = py/((radius+mg)/2)
local len = math.sqrt((px*px)+(py*py))
-- check radius and clip
if len > 1.0 then return 0,0,0,0 end
local z = -math.sqrt(1.0 - ((px*px)+(py*py)))
-- local z = ((radius+mb)/2) -- -math.sqrt(1.0 - ((px*px)+(py*py)))
px_0 = px_0/((radius+mr)/2)
py_0 = py_0/((radius+mg)/2)
z_0 = ((radius+mb)/2) -- -math.sqrt(1.0 - ((px*px)+(py*py)))
-- mapping for rotation and tilt
local tz_0 = (cosa_t * z) - (sina_t * py)
local ty_0 = (sina_t * z) + (cosa_t * py)
z_0 = tz_0
py_0 = ty_0
local tx_0 = (cosa_r * px) - (sina_r * z)
local tz_r0= (sina_r * px) + (cosa_r * z)
px_0 = tx_0
z_0= tz_0
-- displaces but only in circumference;
-- rotation and tilt have to be applied, must also apply x,y,z influence on shape
-- px = px/radius -- ((radius+mr)/2)
-- py = py/radius -- ((radius+mg)/2)
-- mapping for rotation and tilt
local tz = (cosa_t * z) - (sina_t * py)
local ty = (sina_t * z) + (cosa_t * py)
z = tz
py = ty
local tx_r = (cosa_r * px) - (sina_r * z)
local tz_r = (sina_r * px) + (cosa_r * z)
px_r = tx_r
z_r = tz_r
local tx_g = (cosa_g * px) - (sina_g * z)
local tz_g = (sina_g * px) + (cosa_g * z)
px_g = tx_g
z_g = tz_g
local tx_b = (cosa_b * px) - (sina_b * z)
local tz_b = (sina_b * px) + (cosa_b * z)
px_b = tx_b
z_b = tz_b
h,s,l = fromrgb(px_r,px_g,px_b)
if aspect then h = h * 2 - 1 end
-- distortion by neighboring channel noise, modified by grayscale input (power)
local dx, dy, dz, da = get_sample_map(x, y, DISTORTION) -- * 2
-- noise or gradient calculations can be assigned to variables here
local nr, ng, nb, na = 0, 0, 0, 0
local octave_index
for octave_index = 1, OCTAVES_COUNT do
local size = OCTAVES[octave_index][1]
local opacity = OCTAVES[octave_index][2]
local noise_z = octave_index
dr = dr + (opacity * noise(px_r*size,py*size,((z_r*size)+noise_z)+OUTPUT_WIDTH * -1)) * dx
dg = dg + (opacity * noise(px_g*size,py*size,((z_g*size)+noise_z)+OUTPUT_WIDTH * -2)) * dy
db = db + (opacity * noise(px_b*size,py*size,((z_b*size)+noise_z)+OUTPUT_WIDTH * -3)) * dz
nr = nr + (opacity * noise(px_r*size+dr,py*size+dg,((z_r*size)+noise_z+db)+OUTPUT_WIDTH))
ng = ng + (opacity * noise(px_g*size+dg,py*size+db,((z_g*size)+noise_z+dr)+OUTPUT_WIDTH * 2))
nb = nb + (opacity * noise(px_b*size+db,py*size+dr,((z_b*size)+noise_z+dg)+OUTPUT_WIDTH * 3))
end
nr = (nr+1.0)/2.0
ng = (ng+1.0)/2.0
nb = (nb+1.0)/2.0
na = ((nr+ng+nb)/2)^2
nr = truncate(factor * (nr - 0.5) + 0.5)
ng = truncate(factor * (ng - 0.5) + 0.5)
nb = truncate(factor * (nb - 0.5) + 0.5)
na = truncate(factor * (na - 0.5) + 0.5)
nr = get_sample_curve(x,y,nr,PROFILE)
ng = get_sample_curve(x,y,ng,PROFILE)
nb = get_sample_curve(x,y,nb,PROFILE)
na = get_sample_curve(x,y,na,PROFILE)
-- map inputs to sphere
local r1, g1, b1, a1 = get_sample_map(h, py/2+0.5, BACKGROUND)
local r2, g2, b2, a2 = get_sample_map(h, py/2+0.5, FOREGROUND)
r, g, b, a = blend_normal(r1, g1, b1, a1, r2, g2, b2, a2, na, hdr)
-- return nr,nr,nr,1
-- return ng,ng,ng,1
-- return nb,nb,nb,1
-- return px/2+.5,0,0,1
if rgban then
return nr,ng,nb,na
elseif map then
return mr,mg,mb,1
else
return r, g, b, a
end
end;
function noise(x, y, z)
local X = math.floor(x) % 256
local Y = math.floor(y) % 256
local Z = math.floor(z) % 256
x = x - math.floor(x)
y = y - math.floor(y)
z = z - math.floor(z)
local u = fade(x)
local v = fade(y)
local w = fade(z)
A = p[X ]+Y
AA = p[A]+Z
AB = p[A+1]+Z
B = p[X+1]+Y
BA = p[B]+Z
BB = p[B+1]+Z
return lerp(w, lerp(v, lerp(u, grad(p[AA ], x , y , z ),
grad(p[BA ], x-1, y , z )),
lerp(u, grad(p[AB ], x , y-1, z ),
grad(p[BB ], x-1, y-1, z ))),
lerp(v, lerp(u, grad(p[AA+1], x , y , z-1 ),
grad(p[BA+1], x-1, y , z-1 )),
lerp(u, grad(p[AB+1], x , y-1, z-1 ),
grad(p[BB+1], x-1, y-1, z-1 )))
)
end;
function fade(t)
return t * t * t * (t * (t * 6 - 15) + 10)
end;
function lerp(t,a,b)
return a + t * (b - a)
end;
function grad(hash,x,y,z)
local h = hash % 16
local u
local v
if (h<8) then u = x else u = y end
if (h<4) then v = y elseif (h==12 or h==14) then v=x else v=z end
local r
if ((h%2) == 0) then r=u else r=-u end
if ((h%4) == 0) then r=r+v else r=r-v end
return r
end;
function truncate(value)
if value <= 0 then value = 0 end
if value >= 1 then value = 1 end
return value
end;
function fromrgb(r, g, b)
local max, min = math.max(r, g, b), math.min(r, g, b)
local h, s, l
l = (max + min) / 2
if max == min then
h, s = 0, 0 -- achromatic
else
local d = max - min
local s
if l > 0.5 then s = d / (2 - max - min) else s = d / (max + min) end
if max == r then
h = (g - b) / d
if g < b then h = h + 6 end
elseif max == g then h = (b - r) / d + 2
elseif max == b then h = (r - g) / d + 4
end
h = h / 6
end
return h, s, l or 1
end