From 9e2f7fb0ca902665b430a96f77959522976a97f9 Mon Sep 17 00:00:00 2001 From: Alberto Ruiz Date: Fri, 14 Sep 2007 11:06:57 +0000 Subject: code refactoring --- lib/Graphics/Plot.hs | 169 +++++++++++++++++++++++++++++++++++++++++++++++++++ 1 file changed, 169 insertions(+) create mode 100644 lib/Graphics/Plot.hs (limited to 'lib/Graphics') diff --git a/lib/Graphics/Plot.hs b/lib/Graphics/Plot.hs new file mode 100644 index 0000000..9f719ab --- /dev/null +++ b/lib/Graphics/Plot.hs @@ -0,0 +1,169 @@ +----------------------------------------------------------------------------- +-- | +-- Module : Graphics.Plot +-- Copyright : (c) Alberto Ruiz 2005 +-- License : GPL-style +-- +-- Maintainer : Alberto Ruiz (aruiz at um dot es) +-- Stability : provisional +-- Portability : uses gnuplot and ImageMagick +-- +-- Very basic (and provisional) drawing tools. +-- +----------------------------------------------------------------------------- + +module Graphics.Plot( + + gnuplotX, mplot, + + plot, parametricPlot, + + splot, mesh, mesh', meshdom, + + matrixToPGM, imshow, + +) where + +import Data.Packed.Vector +import Data.Packed.Matrix +import LinearAlgebra.Linear(outer) +import GSL.Vector(FunCodeS(Max,Min),toScalarR) +import Data.List(intersperse) +import System +import Data.IORef +import System.Exit +import Foreign hiding (rotate) + + +size = dim + +-- | Loads a real matrix from a formatted ASCII text file +--fromFile :: FilePath -> IO Matrix +--fromFile filename = readFile filename >>= return . readMatrix read + +-- | Saves a real matrix to a formatted ascii text file +toFile :: FilePath -> Matrix Double -> IO () +toFile filename matrix = writeFile filename (unlines . map unwords. map (map show) . toLists $ matrix) + +------------------------------------------------------------------------ + + +-- | From vectors x and y, it generates a pair of matrices to be used as x and y arguments for matrix functions. +meshdom :: Vector Double -> Vector Double -> (Matrix Double , Matrix Double) +meshdom r1 r2 = (outer r1 (constant 1 (size r2)), outer (constant 1 (size r1)) r2) + +gnuplotX :: String -> IO () +gnuplotX command = do {system cmdstr; return()} where + cmdstr = "echo \""++command++"\" | gnuplot -persist" + +datafollows = "\\\"-\\\"" + +prep = (++"e\n\n") . unlines . map (unwords . (map show)) + + +{- | Draws a 3D surface representation of a real matrix. + +> > mesh (hilb 20) + +In certain versions you can interactively rotate the graphic using the mouse. + +-} +mesh :: Matrix Double -> IO () +mesh m = gnuplotX (command++dat) where + command = "splot "++datafollows++" matrix with lines\n" + dat = prep $ toLists $ m + +mesh' :: Matrix Double -> IO () +mesh' m = do + writeFile "splot-gnu-command" "splot \"splot-tmp.txt\" matrix with lines; pause -1"; + toFile "splot-tmp.txt" m + putStr "Press [Return] to close the graphic and continue... " + system "gnuplot -persist splot-gnu-command" + system "rm splot-tmp.txt splot-gnu-command" + return () + +{- | Draws the surface represented by the function f in the desired ranges and number of points, internally using 'mesh'. + +> > let f x y = cos (x + y) +> > splot f (0,pi) (0,2*pi) 50 + +-} +splot :: (Matrix Double->Matrix Double->Matrix Double) -> (Double,Double) -> (Double,Double) -> Int -> IO () +splot f rx ry n = mesh' z where + (x,y) = meshdom (linspace n rx) (linspace n ry) + z = f x y + +{- | plots several vectors against the first one -} +mplot :: [Vector Double] -> IO () +mplot m = gnuplotX (commands++dats) where + commands = if length m == 1 then command1 else commandmore + command1 = "plot "++datafollows++" with lines\n" ++ dat + commandmore = "plot " ++ plots ++ "\n" + plots = concat $ intersperse ", " (map cmd [2 .. length m]) + cmd k = datafollows++" using 1:"++show k++" with lines" + dat = prep $ toLists $ fromColumns m + dats = concat (replicate (length m-1) dat) + + + + + + +mplot' m = do + writeFile "plot-gnu-command" (commands++endcmd) + toFile "plot-tmp.txt" (fromColumns m) + putStr "Press [Return] to close the graphic and continue... " + system "gnuplot plot-gnu-command" + system "rm plot-tmp.txt plot-gnu-command" + return () + where + commands = if length m == 1 then command1 else commandmore + command1 = "plot \"plot-tmp.txt\" with lines\n" + commandmore = "plot " ++ plots ++ "\n" + plots = concat $ intersperse ", " (map cmd [2 .. length m]) + cmd k = "\"plot-tmp.txt\" using 1:"++show k++" with lines" + endcmd = "pause -1" + +-- apply several functions to one object +mapf fs x = map ($ x) fs + +{- | Draws a list of functions over a desired range and with a desired number of points + +> > plot [sin, cos, sin.(3*)] (0,2*pi) 1000 + +-} +plot :: [Vector Double->Vector Double] -> (Double,Double) -> Int -> IO () +plot fs rx n = mplot (x: mapf fs x) + where x = linspace n rx + +{- | Draws a parametric curve. For instance, to draw a spiral we can do something like: + +> > parametricPlot (\t->(t * sin t, t * cos t)) (0,10*pi) 1000 + +-} +parametricPlot :: (Vector Double->(Vector Double,Vector Double)) -> (Double, Double) -> Int -> IO () +parametricPlot f rt n = mplot [fx, fy] + where t = linspace n rt + (fx,fy) = f t + + +-- | writes a matrix to pgm image file +matrixToPGM :: Matrix Double -> String +matrixToPGM m = header ++ unlines (map unwords ll) where + c = cols m + r = rows m + header = "P2 "++show c++" "++show r++" "++show (round maxgray :: Int)++"\n" + maxgray = 255.0 + maxval = toScalarR Max $ flatten $ m + minval = toScalarR Min $ flatten $ m + scale = if (maxval == minval) + then 0.0 + else maxgray / (maxval - minval) + f x = show ( round ( scale *(x - minval) ) :: Int ) + ll = map (map f) (toLists m) + +-- | imshow shows a representation of a matrix as a gray level image using ImageMagick's display. +imshow :: Matrix Double -> IO () +imshow m = do + system $ "echo \""++ matrixToPGM m ++"\"| display -antialias -resize 300 - &" + return () -- cgit v1.2.3