added a very fast haskell version
This commit is contained in:
parent
b877f09d9e
commit
5f981083a9
1 changed files with 159 additions and 0 deletions
159
haskell/flame.hs
Normal file
159
haskell/flame.hs
Normal file
|
@ -0,0 +1,159 @@
|
||||||
|
module Main where
|
||||||
|
|
||||||
|
import Data.HashMap as Dict
|
||||||
|
import Data.Maybe as Maybe
|
||||||
|
|
||||||
|
import Control.Monad
|
||||||
|
import System.Environment (getArgs)
|
||||||
|
data Global = Global { imgWidth :: Int
|
||||||
|
, imgHeight :: Int
|
||||||
|
, nbPoints :: Int }
|
||||||
|
|
||||||
|
-- Basic functions
|
||||||
|
|
||||||
|
-- -- nth element of a list
|
||||||
|
-- l !! n = if n == 0 then head l else (tail l) !! (n-1)
|
||||||
|
-- negative of a number (I don't like writing 0-x).
|
||||||
|
neg x = 0-x
|
||||||
|
|
||||||
|
rgb :: Int -> Int -> Int -> (Int,Int,Int)
|
||||||
|
rgb = (,,)
|
||||||
|
rgba = (,,,)
|
||||||
|
-- Colors (theme is solarized)
|
||||||
|
base03 = rgb 0 43 54
|
||||||
|
base02 = rgb 7 54 66
|
||||||
|
base01 = rgb 88 110 117
|
||||||
|
base00 = rgb 101 123 131
|
||||||
|
base0 = rgb 131 148 150
|
||||||
|
base1 = rgb 147 161 161
|
||||||
|
base2 = rgb 238 232 213
|
||||||
|
base3 = rgb 253 246 227
|
||||||
|
yellow = rgb 181 137 0
|
||||||
|
orange = rgb 203 75 22
|
||||||
|
red = rgb 220 50 47
|
||||||
|
magenta = rgb 211 54 130
|
||||||
|
violet = rgb 108 113 196
|
||||||
|
blue = rgb 38 139 210
|
||||||
|
cyan = rgb 42 161 152
|
||||||
|
green = rgb 133 153 0
|
||||||
|
|
||||||
|
-- Default text color
|
||||||
|
mybase = rgba 108 113 196 (2/3)
|
||||||
|
|
||||||
|
-- RANDOM PART
|
||||||
|
nextint n =
|
||||||
|
let
|
||||||
|
a = 22695477
|
||||||
|
c = 1
|
||||||
|
m = 2^32
|
||||||
|
in
|
||||||
|
(a*n + c) `rem` m
|
||||||
|
|
||||||
|
-- generate a random sequence of length k starting with some seed
|
||||||
|
randlist seed k = if (k<0) then [] else (nextint seed):randlist (nextint seed) (k-1)
|
||||||
|
|
||||||
|
-- generate a random sequence of points of length k starting with some seed
|
||||||
|
randcouples seed k = if (k<0) then []
|
||||||
|
else
|
||||||
|
let ns = nextint seed
|
||||||
|
nns = nextint ns
|
||||||
|
in (ns,nns):randcouples nns (k-1)
|
||||||
|
-- END OF PSEUDO RANDOM NUMBER GENERATION
|
||||||
|
|
||||||
|
|
||||||
|
{-
|
||||||
|
- Flame Set
|
||||||
|
-
|
||||||
|
- S = U_{i} F_i(S)
|
||||||
|
-
|
||||||
|
- F_i being transformations
|
||||||
|
- General form:
|
||||||
|
- F = affine . linearcomp [variation] . affine
|
||||||
|
- affine is a linear function (x,y) -> (ax+by+c,dx+ey+f)
|
||||||
|
- variation is some kind of function with some contraction properties
|
||||||
|
ex: (x,y) -> (x,y), (sin x, sin y), etc...
|
||||||
|
- linearcomp [f] is a linear composition of functions: (x,y) -> Sum vi*f(x,y)
|
||||||
|
-}
|
||||||
|
|
||||||
|
data Matrice = M Float Float Float Float Float Float
|
||||||
|
aff (M a b c d e f) (x,y) = (a*x + b*y + c, d*x + e*y +f)
|
||||||
|
|
||||||
|
-- Some affine functions to generate the sierpinsky set
|
||||||
|
-- Equivalent to
|
||||||
|
-- sierp = [ \(x,y)->(x/2,y/2)
|
||||||
|
-- , \(x,y)->((x+1)/2,y/2)
|
||||||
|
-- , \(x,y)->(x/2,(y+1)/2) ]
|
||||||
|
sierp = [ aff $ M
|
||||||
|
0.5 0.0 0.0
|
||||||
|
0.0 0.5 0.0
|
||||||
|
, aff $ M
|
||||||
|
0.5 0.0 0.5
|
||||||
|
0.0 0.5 0.0
|
||||||
|
, aff $ M
|
||||||
|
0.5 0.0 0.0
|
||||||
|
0.0 0.5 0.5
|
||||||
|
]
|
||||||
|
|
||||||
|
-- Some variations
|
||||||
|
vs = [ \(x,y) -> (x,y)
|
||||||
|
, \(x,y) -> (sin x, sin y)
|
||||||
|
, \(x,y) -> let r2 = x*x+y*y in (x/r2,y/r2)
|
||||||
|
, \(x,y) -> let r2 = x*x+y*y in (x*(sin r2) - y*(cos r2),x*(cos r2) + y * (sin r2))
|
||||||
|
, \(x,y) -> let r = sqrt (x^2+y^2) in ((x - y)*(x + y)/r,2*x*y/r)
|
||||||
|
]
|
||||||
|
|
||||||
|
-- Some final functions
|
||||||
|
fs = [ (vs !! 3) . (sierp !! 0)
|
||||||
|
, (vs !! 3) . (sierp !! 1)
|
||||||
|
, (vs !! 3) . (sierp !! 2)]
|
||||||
|
|
||||||
|
-- Transformation functions
|
||||||
|
-- translate
|
||||||
|
trans (tx,ty) = aff $ M 1 0 tx 0 1 ty
|
||||||
|
-- rotate
|
||||||
|
rot phi = aff $ M (cos phi) (sin phi) 0.0 (neg (sin phi)) (cos phi) 0.0
|
||||||
|
-- zoom
|
||||||
|
zoom z = aff $ M z 0 0 0 z 0
|
||||||
|
|
||||||
|
-- The final transformation to transform the final result (zoom,rotate,translate)
|
||||||
|
final = trans (280,200) . zoom 300 . rot (neg 0.747)
|
||||||
|
|
||||||
|
sierpset startpoint rands tmpres =
|
||||||
|
if rands == []
|
||||||
|
then tmpres
|
||||||
|
else
|
||||||
|
let
|
||||||
|
roundPoint (x,y) = (round x,round y)
|
||||||
|
randval=(head rands) `rem` (length fs)
|
||||||
|
newpoint = (fs !! randval) startpoint
|
||||||
|
savepoint = roundPoint ( final newpoint )
|
||||||
|
oldvalue = Dict.lookup savepoint tmpres
|
||||||
|
newvalue = 1 + (Maybe.fromMaybe 0 oldvalue)
|
||||||
|
newtmpres = Dict.insert savepoint newvalue tmpres
|
||||||
|
in
|
||||||
|
sierpset newpoint (tail rands) newtmpres
|
||||||
|
|
||||||
|
sierpinsky n = sierpset (0.0,0.0) (randlist 0 n) Dict.empty
|
||||||
|
|
||||||
|
scene env =
|
||||||
|
let
|
||||||
|
w = imgWidth env
|
||||||
|
h = imgHeight env
|
||||||
|
n = nbPoints env
|
||||||
|
inpoint ((x,y),_) = x>=0 && x<=w && y>=0 && y<=h
|
||||||
|
in (Prelude.filter inpoint) . Dict.toList $ (sierpinsky n)
|
||||||
|
|
||||||
|
|
||||||
|
initGlobalParams args =
|
||||||
|
Global { imgWidth = read (args !! 0)
|
||||||
|
, imgHeight = read (args !! 1)
|
||||||
|
, nbPoints = read (args !! 2) }
|
||||||
|
|
||||||
|
main :: IO ()
|
||||||
|
main = do
|
||||||
|
args <- getArgs
|
||||||
|
if (length args<3)
|
||||||
|
then print $ "Usage flame w h n"
|
||||||
|
else do
|
||||||
|
env <- return (initGlobalParams args)
|
||||||
|
mapM_ (print) (scene env)
|
Loading…
Reference in a new issue