diff --git a/max_slope_picture/colors b/max_slope_picture/colors new file mode 100644 index 0000000..a1c61c6 --- /dev/null +++ b/max_slope_picture/colors @@ -0,0 +1,14 @@ +#a6cee3 +#1f78b4 +#b2df8a +#33a02c +#fb9a99 +#e31a1c +#fdbf6f +#ff7f00 +#cab2d6 +#6a3d9a +#ffff99 +#b15928 +#ffff00 +#00ffff diff --git a/max_slope_picture/combine_images b/max_slope_picture/combine_images new file mode 100755 index 0000000..6d33c5f --- /dev/null +++ b/max_slope_picture/combine_images @@ -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 diff --git a/max_slope_picture/generate.hs b/max_slope_picture/generate.hs new file mode 100644 index 0000000..ff4ac33 --- /dev/null +++ b/max_slope_picture/generate.hs @@ -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 diff --git 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0.8900000000 0.9900000000 1.9314177511 19.656 +90/100 99/100 0.9000000000 0.9900000000 1.9368040555 16.363 +91/100 99/100 0.9100000000 0.9900000000 1.9420724513 22.274 +92/100 99/100 0.9200000000 0.9900000000 1.9471945245 20.953 +93/100 99/100 0.9300000000 0.9900000000 1.9521311455 21.260 +94/100 99/100 0.9400000000 0.9900000000 1.9568277088 21.445 +95/100 99/100 0.9500000000 0.9900000000 1.9612074769 16.627 +96/100 99/100 0.9600000000 0.9900000000 1.9651632148 17.758 +97/100 99/100 0.9700000000 0.9900000000 1.9685494459 20.940 +98/100 99/100 0.9800000000 0.9900000000 1.9711828698 17.429 +99/100 99/100 0.9900000000 0.9900000000 1.9728656789 20.779 +100/100 99/100 1.0000000000 0.9900000000 1.9734435049 7.414 diff --git a/special_element.c b/special_element.c index f88a1a8..e4ed229 100644 --- a/special_element.c +++ b/special_element.c @@ -1,3 +1,4 @@ + #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); } }