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<link rel="alternate" lang="fr" xml:lang="fr" title="Mandelbrot avec haskell" type="text/html" hreflang="fr" href="/Scratch/fr/blog/Haskell-Mandelbrot/" />
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<link rel="alternate" lang="en" xml:lang="en" title="ASCII Haskell Mandelbrot" type="text/html" hreflang="en" href="/Scratch/en/blog/Haskell-Mandelbrot/" />
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<title>ASCII Haskell Mandelbrot</title>
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<h1>
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ASCII Haskell Mandelbrot
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<p>Here is the obfuscated code:</p>
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<div class="code"><div class="file"><a href="/Scratch/en/blog/Haskell-Mandelbrot/code/animandel.hs"> ➥ animandel.hs </a></div><div class="withfile">
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<pre class="twilight">
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a=27<span class="Keyword">;</span>b=79<span class="Keyword">;</span>c=C(-2.0,-1.0)<span class="Keyword">;</span>d=C(1.0,1.0)<span class="Keyword">;</span>e=C(-2.501,-1.003)
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newtype C = C (Double,Double) deriving (Show,Eq)
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instance Num C where C(x,y)*C(z,t)=C(z*x-y*t,y*z+x*t)<span class="Keyword">;</span>C(x,y)+C(z,t)=C(x+z,y+t)<span class="Keyword">;</span>abs(C(x,y))=C(sqrt(x*x+y*y),0.0)
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r(C(x,y))=x<span class="Keyword">;</span>i(C(x,y))=y
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f :: C -<span class="Keyword">></span> C -<span class="Keyword">></span> Int -<span class="Keyword">></span> Int
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f c z 0=0<span class="Keyword">;</span>f c z n=<span class="Keyword">if</span>(r(abs(z))<span class="Keyword">></span>2)<span class="Keyword">then</span> n <span class="Keyword">else</span> f c ((z*z)+c) (n-1)
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h j k = map (<span class="Constant">\z</span>-<span class="String"><span class="String">>(</span>f (C z<span class="String">)</span></span> (C(0,0)) 32,(fst z<span class="Keyword">></span>l - q/2))) [(x,y)<span class="Keyword">|</span>y<span class="Keyword"><</span>-[p,(p+((o-p)/a))..o],x<span class="Keyword"><</span>-[m,(m + q)..l]] where o=i k<span class="Keyword">;</span>p=i j<span class="Keyword">;</span>m=r j<span class="Keyword">;</span>l=r k<span class="Keyword">;</span>q=(l-m)/b
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u j k = concat $ map v $ h j k where v (i,p)=(<span class="String"><span class="String">"</span> .,<span class="String"><span class="String">`</span>'°\":;-+oO0123456789=!%*§&$@#"!!i):rst p;rst True="\n";rst False=""</span></span>
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<span class="String"><span class="String">main = putStrLn $ im 0 where cl n (C (x,y))=let cs=(1.1**n-1) in C ((x+cs*(r e))/cs+1,(y+cs*(i e))/cs+1);bl n=cl n c;tr n=cl n d;im n=u (bl n) (tr n)++"\x1b[H\x1b[25A"++im (n+1)</span></span>
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</pre>
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</div></div>
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<p>To launch it, you’ll need to have <a href="http://haskell.org">haskell</a> installed and to run:</p>
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<pre class="twilight">ghc --make animandel.hs <span class="Keyword">&&</span> animandel
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</pre>
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<p>Here is some image after 50 iterations:</p>
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<pre class="twilight">
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5555666666666666666666666666666655555555554O+++ :o022334444444444444444444444444
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5555556666666666666666666666665555555555543210O-+O112333344444444444444444444444
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55555555666666666666666666665555555555444333210o<span class="String"><span class="String">`</span>O012333333444444444444444444444</span>
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<span class="String">4555555555566666666666666555555555544444333331O+°°,'0233333334444444444444444433</span>
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<span class="String">44444445555555556666555555555444444444433333210o-:O01122333333334444444444443333</span>
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<span class="String">44444444444444445555444444444444444444333332211O+ -o1112222223333333344433333222</span>
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<span class="String">444444444444433331133334444444444444433332221110o"+O0111222222222222222222222222</span>
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<span class="String">34444444443333330OO03333334444444443332222221100O+-oO001122222222221110-O1111122</span>
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<span class="String">22333333333332210--01223333333333322222222211000o-°+o00000122222111110o°;o001111</span>
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<span class="String">11OO112222222111O;;O111222222211OO111122211000Oo-" :+ooOOOO.O0000000OOo'°oOO0000</span>
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<span class="String">0O;+O01122211000O--O00011221110O+;O00000OO +oooo-: :-+oo++";oOO0000Ooo+;;+oooO00</span>
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<span class="String">o+"+oO00OO OOOOoo::ooOOOO°OO00Oo+"+ooOooo+;°---",' ,,";--: ;-+oo+ +++;;°°;;-++:;</span>
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<span class="String">,° °':°: <span class="String">`</span></span> <span class="String"><span class="String">"</span><span class="String"><span class="String">`</span>".°° °° "°". :'", '°<span class="String">`</span></span>°<span class="String">"</span></span>:<span class="String"><span class="String">`</span>°<span class="String">`</span></span> ,,<span class="String"><span class="String">`</span><span class="String">`</span></span> . . .°°<span class="String"><span class="String">'</span>°° ` .. `<span class="String">'</span></span>°.
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+-<span class="String"><span class="String">`</span>-oo+oo+'+o+<span class="String">`</span></span>--°°<span class="Keyword">;</span>-<span class="String"><span class="String">`</span>+o+"+oo+oo-'-++;+++-:,:::"<span class="String">`</span></span> °::°° :-<span class="Keyword">;</span><span class="Keyword">;</span>--,<span class="Keyword">;</span>-<span class="Keyword">;</span> <span class="String"><span class="String">"</span> <span class="String">"</span></span> <span class="Keyword">;</span>-<span class="Keyword">;</span><span class="String"><span class="String">"</span>:</span>
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<span class="String">OO<span class="String">"</span></span>-O0000000000Oo--oO0000000000O-:oO0000Oo::+++<span class="Keyword">;</span><span class="Keyword">;</span>: <span class="String"><span class="String">"</span>:<span class="String">"</span></span>-++-<span class="String"><span class="String">'</span>;+oooOOoooo-::-oooo++</span>
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<span class="String">10;-111222222110O--O011222222111- 01111110oOOOoo-: :-ooooo`:OO000000OO+;;+OOO000</span>
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<span class="String">22122222222222110++0112222222222111222222221000O+:,;.O000001111111100Oo:-OO00000</span>
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<span class="String">3344444433333332-,°-2333333344444433322222221100o-;oO00011222222221111O<span class="String">'</span></span>+0111111
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444444444444333320023333444444444444433322221110O.:O0011222222222222211-01112222
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44444444444444443333444444444444444444333332211O. -o1112222222223333333333322222
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44444444445555555555555555444444444444433333210O-<span class="String"><span class="String">"</span>oO1122223333333444444444433333</span>
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<span class="String">444555555555666666666666555555555444444433333' '<span class="String"><span class="String">`</span>:+O0233333333444444444444444433</span></span>
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</pre>
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<p>Here is the more readable version. I believe with this far more readable version, no more explanation is needed.</p>
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<pre class="twilight">
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-- Screen size
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nbvert = 27
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nbhor = 79
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init_bottom_left = C (-2.0,-1.0)
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init_top_right = C (1.0,1.0)
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interrest = C (-2.5,-1.0)
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newtype Complex = C (Float,Float) deriving (Show,Eq)
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instance Num Complex where
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fromInteger n = C (fromIntegral n,0.0)
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C (x,y) * C (z,t) = C (z*x - y*t, y*z + x*t)
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C (x,y) + C (z,t) = C (x+z, y+t)
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abs (C (x,y)) = C (sqrt (x*x + y*y),0.0)
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signum (C (x,y)) = C (signum x , 0.0)
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real :: Complex -<span class="Keyword">></span> Float
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real (C (x,y)) = x
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im :: Complex -<span class="Keyword">></span> Float
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im (C (x,y)) = y
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f :: Complex -<span class="Keyword">></span> Complex -<span class="Keyword">></span> Int -<span class="Keyword">></span> Complex
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f c z 0 = z
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f c z n = f c ((z*z)+c) (n-1)
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cabs :: Complex -<span class="Keyword">></span> Float
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cabs = real.abs
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tst :: Complex -<span class="Keyword">></span> Bool
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tst c = (cabs (f c (C(0.0,0.0)) 32)) <span class="Keyword"><</span> 2
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bmandel bottomleft topright = map (<span class="Constant">\z</span> -<span class="Keyword">></span> (tst (C z), (fst z <span class="Keyword">></span> right - hstep/2 ))) [(x,y) <span class="Keyword">|</span> y <span class="Keyword"><</span>- [bottom,(bottom + vstep)..top], x<span class="Keyword"><</span>-[left,(left + hstep)..right]]
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where
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top = im topright
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bottom = im bottomleft
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left = real bottomleft
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right = real topright
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vstep=(top-bottom)/nbvert
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hstep=(right-left)/nbhor
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mandel :: Complex -<span class="Keyword">></span> Complex -<span class="Keyword">></span> String
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mandel bottomleft topright = concat $ map treat $ bmandel bottomleft topright
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where
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treat (True,jump) = <span class="String"><span class="String">"</span> <span class="String">"</span></span> ++ rst jump
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treat (False,jump) = <span class="String"><span class="String">"</span>@<span class="String">"</span></span> ++ rst jump
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rst True = <span class="String"><span class="String">"</span>\n<span class="String">"</span></span>
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rst False = <span class="String"><span class="String">"</span><span class="String">"</span></span>
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main = <span class="Keyword">do</span>
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x <span class="Keyword"><</span>- getContents
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putStrLn $ infinitemandel 0
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where
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closer n (C (x,y)) =
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let cst = (1.1**n - 1) <span class="Keyword">in</span>
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C ( (x + cst*(real interrest))/cst+1,
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(y + cst*(im interrest))/cst+1 )
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bottomleftn n = closer n init_bottom_left
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toprightn n = closer n init_top_right
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infinitemandel n = mandel (bottomleftn n) (toprightn n) ++ <span class="String"><span class="String">"</span>\x1b[H\x1b[25A<span class="String">"</span></span> ++ infinitemandel (n+1)
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<div id="lastmod">
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Created: 07/10/2011
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Modified: 07/10/2011
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Entirely done with
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