generate character variety image

This commit is contained in:
Florian Stecker 2021-10-02 12:09:44 -05:00
parent cd84e6c0c4
commit c2c3f24854
5 changed files with 9991 additions and 1 deletions

14
max_slope_picture/colors Normal file
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@ -0,0 +1,14 @@
#a6cee3
#1f78b4
#b2df8a
#33a02c
#fb9a99
#e31a1c
#fdbf6f
#ff7f00
#cab2d6
#6a3d9a
#ffff99
#b15928
#ffff00
#00ffff

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@ -0,0 +1,6 @@
#!/bin/bash
convert -size 100x99 canvas:black combined.png
for a in partition_*.pnm; do
composite -compose plus combined.png $a combined.png
done

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@ -0,0 +1,69 @@
import Text.Printf
import System.Environment
import System.Process
import Data.List
wordlist = ["abacabacbabcbacbcacbac", "abacbabcbacbac", "abacbabcbacbcacbac", "abacbacbacbacbacbacbac", "abacbacbacbacbac", "abacbacbac", "bacabacbabcbacbcacbcac", "bacabacbabcbacbcac", "baca", "bacbabcbacbcac", "bacbacbacbacbacbacbcac", "bacbacbacbacbcac", "bacbacbcac", "bacbac"]
colors = [(0.651,0.808,0.890), (0.122,0.471,0.706), (0.698,0.875,0.541), (0.200,0.627,0.173), (0.984,0.604,0.600), (0.890,0.102,0.110), (0.992,0.749,0.435), (1.000,0.498,0.000), (0.792,0.698,0.839), (0.416,0.239,0.604), (1.000,1.000,0.600), (0.694,0.349,0.157), (1.000,1.000,0.000), (0.000,1.000,1.000)]
main = sequence $ zipWith (generatePicture "result_20210419_221603.out") wordlist colors
generatePicture :: String -> String -> (Double,Double,Double) -> IO ()
generatePicture datafile word color = do
file1 <- readFile datafile
file2 <- readProcess "../special_element" [word] ""
let values1 = map (normalize.read.(!!4).words) (lines file1) :: [Double]
let values2 = map (normalize.read.(!!3).words) (lines file2) :: [Double]
let diff = zipWith (-) values1 values2
writeFile (printf "partition_%s.pnm" word) $ drawGrayscalePicture color diff
printf "Wrote partition_%s.pnm\n" word
-- kind of a failed experiment
-- supersample (width, height) to (factor*width - factor + 1, factor*height - factor + 1)
-- supersample :: Int -> Int -> Int -> [Double] -> [Double]
-- supersample width height factor orig = [pix x y | x <- [0..(width-1)*factor], y <- [0..(height-1)*factor]]
-- where
-- pix x y = xl*yl*a + xl*yr*b + xr*yl*c + xr*yr*d
-- where
-- x_ = x`div`factor
-- y_ = y`div`factor
-- xr = fromIntegral (x`mod`factor)/fromIntegral factor :: Double
-- xl = 1 - xr :: Double
-- yr = fromIntegral (y`mod`factor)/fromIntegral factor :: Double
-- yl = 1 - yr :: Double
-- aoffset = x_*height + y_
-- boffset = x_*height + y_+1
-- coffset = (x_+1)*height + y_
-- doffset = (x_+1)*height + y_+1
-- a = orig!!aoffset
-- b = if boffset < width*height then orig!!boffset else 0
-- c = if coffset < width*height then orig!!coffset else 0
-- d = if doffset < width*height then orig!!doffset else 0
-- xl*yl*a + xl*yr*b + xr*yl*c + xr*yr*d
drawGrayscalePicture :: (Double,Double,Double) -> [Double] -> String
drawGrayscalePicture (r,g,b) values = drawPicture 100 99 $ map color values
where
color x = (round (255*r*colorscale x), round (255*g*colorscale x), round (255*b*colorscale x))
drawPicture :: Int -> Int -> [(Int,Int,Int)] -> String
drawPicture w h values = printf "P3\n%d %d\n255\n%s" w h pixels
where
pixels = concat [printf "%d %d %d\n" r g b | (r,g,b) <- values] :: String
normalize x = if x < 1 then 1/x else x
readDataFile :: String -> IO [(String,Double)]
readDataFile filename = do
f <- readFile filename
return $ map process $ map words $ lines f
where
process (x:y:_:_:z:rest) = (x++" "++y,read z)
normalize x = if x < 1 then 1/x else x
colorscale :: Double -> Double
colorscale x = if cs x < 0 then 1 else if cs x > 1 then 0 else 1 - cs x
where
cs x = 1e5*x

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#include "coxeter.h"
#include "linalg.h"
#include "mat.h"
@ -261,7 +262,7 @@ int main(int argc, char *argv[])
y = -log(fabs(evs[2]));
// gmp_printf("%Qd %Qd %f %f %f\n", tr, trinv, x, y, y/x);
gmp_printf("%.5f %.5f %.5f %.5f\n", mpq_get_d(t), mpq_get_d(m), s, y/x);
gmp_printf("%.5f %.5f %.7f %.9f\n", mpq_get_d(t), mpq_get_d(m), s, y/x);
}
}