From 1c1c0d2abfdf4e311c959a02e57e258257da8ca5 Mon Sep 17 00:00:00 2001 From: Alberto Ruiz Date: Fri, 5 Jun 2015 16:45:51 +0200 Subject: move io --- packages/base/src/Internal/IO.hs | 163 +++++++++++++++++++++++++++++++++++++++ 1 file changed, 163 insertions(+) create mode 100644 packages/base/src/Internal/IO.hs (limited to 'packages/base/src/Internal/IO.hs') diff --git a/packages/base/src/Internal/IO.hs b/packages/base/src/Internal/IO.hs new file mode 100644 index 0000000..e594a1c --- /dev/null +++ b/packages/base/src/Internal/IO.hs @@ -0,0 +1,163 @@ +----------------------------------------------------------------------------- +-- | +-- Module : Internal.IO +-- Copyright : (c) Alberto Ruiz 2010 +-- License : BSD3 +-- +-- Maintainer : Alberto Ruiz +-- Stability : provisional +-- +-- Display, formatting and IO functions for numeric 'Vector' and 'Matrix' +-- +----------------------------------------------------------------------------- + +module Internal.IO ( + dispf, disps, dispcf, vecdisp, latexFormat, format, + loadMatrix, loadMatrix', saveMatrix +) where + +import Internal.Tools +import Internal.Devel +import Internal.Vector +import Internal.Matrix +import Internal.Vectorized +import Text.Printf(printf) +import Data.List(intersperse) +import Data.Complex + + + +{- | Creates a string from a matrix given a separator and a function to show each entry. Using +this function the user can easily define any desired display function: + +@import Text.Printf(printf)@ + +@disp = putStr . format \" \" (printf \"%.2f\")@ + +-} +format :: (Element t) => String -> (t -> String) -> Matrix t -> String +format sep f m = table sep . map (map f) . toLists $ m + +{- | Show a matrix with \"autoscaling\" and a given number of decimal places. + +>>> putStr . disps 2 $ 120 * (3><4) [1..] +3x4 E3 + 0.12 0.24 0.36 0.48 + 0.60 0.72 0.84 0.96 + 1.08 1.20 1.32 1.44 + +-} +disps :: Int -> Matrix Double -> String +disps d x = sdims x ++ " " ++ formatScaled d x + +{- | Show a matrix with a given number of decimal places. + +>>> dispf 2 (1/3 + ident 3) +"3x3\n1.33 0.33 0.33\n0.33 1.33 0.33\n0.33 0.33 1.33\n" + +>>> putStr . dispf 2 $ (3><4)[1,1.5..] +3x4 +1.00 1.50 2.00 2.50 +3.00 3.50 4.00 4.50 +5.00 5.50 6.00 6.50 + +>>> putStr . unlines . tail . lines . dispf 2 . asRow $ linspace 10 (0,1) +0.00 0.11 0.22 0.33 0.44 0.56 0.67 0.78 0.89 1.00 + +-} +dispf :: Int -> Matrix Double -> String +dispf d x = sdims x ++ "\n" ++ formatFixed (if isInt x then 0 else d) x + +sdims x = show (rows x) ++ "x" ++ show (cols x) + +formatFixed d x = format " " (printf ("%."++show d++"f")) $ x + +isInt = all lookslikeInt . toList . flatten + +formatScaled dec t = "E"++show o++"\n" ++ ss + where ss = format " " (printf fmt. g) t + g x | o >= 0 = x/10^(o::Int) + | otherwise = x*10^(-o) + o | rows t == 0 || cols t == 0 = 0 + | otherwise = floor $ maximum $ map (logBase 10 . abs) $ toList $ flatten t + fmt = '%':show (dec+3) ++ '.':show dec ++"f" + +{- | Show a vector using a function for showing matrices. + +>>> putStr . vecdisp (dispf 2) $ linspace 10 (0,1) +10 |> 0.00 0.11 0.22 0.33 0.44 0.56 0.67 0.78 0.89 1.00 + +-} +vecdisp :: (Element t) => (Matrix t -> String) -> Vector t -> String +vecdisp f v + = ((show (dim v) ++ " |> ") ++) . (++"\n") + . unwords . lines . tail . dropWhile (not . (`elem` " \n")) + . f . trans . reshape 1 + $ v + +{- | Tool to display matrices with latex syntax. + +>>> latexFormat "bmatrix" (dispf 2 $ ident 2) +"\\begin{bmatrix}\n1 & 0\n\\\\\n0 & 1\n\\end{bmatrix}" + +-} +latexFormat :: String -- ^ type of braces: \"matrix\", \"bmatrix\", \"pmatrix\", etc. + -> String -- ^ Formatted matrix, with elements separated by spaces and newlines + -> String +latexFormat del tab = "\\begin{"++del++"}\n" ++ f tab ++ "\\end{"++del++"}" + where f = unlines . intersperse "\\\\" . map unwords . map (intersperse " & " . words) . tail . lines + +-- | Pretty print a complex number with at most n decimal digits. +showComplex :: Int -> Complex Double -> String +showComplex d (a:+b) + | isZero a && isZero b = "0" + | isZero b = sa + | isZero a && isOne b = s2++"i" + | isZero a = sb++"i" + | isOne b = sa++s3++"i" + | otherwise = sa++s1++sb++"i" + where + sa = shcr d a + sb = shcr d b + s1 = if b<0 then "" else "+" + s2 = if b<0 then "-" else "" + s3 = if b<0 then "-" else "+" + +shcr d a | lookslikeInt a = printf "%.0f" a + | otherwise = printf ("%."++show d++"f") a + + +lookslikeInt x = show (round x :: Int) ++".0" == shx || "-0.0" == shx + where shx = show x + +isZero x = show x `elem` ["0.0","-0.0"] +isOne x = show x `elem` ["1.0","-1.0"] + +-- | Pretty print a complex matrix with at most n decimal digits. +dispcf :: Int -> Matrix (Complex Double) -> String +dispcf d m = sdims m ++ "\n" ++ format " " (showComplex d) m + +-------------------------------------------------------------------- + +apparentCols :: FilePath -> IO Int +apparentCols s = f . dropWhile null . map words . lines <$> readFile s + where + f [] = 0 + f (x:_) = length x + + +-- | load a matrix from an ASCII file formatted as a 2D table. +loadMatrix :: FilePath -> IO (Matrix Double) +loadMatrix f = do + v <- vectorScan f + c <- apparentCols f + if (dim v `mod` c /= 0) + then + error $ printf "loadMatrix: %d elements and %d columns in file %s" + (dim v) c f + else + return (reshape c v) + + +loadMatrix' name = mbCatch (loadMatrix name) + -- cgit v1.2.3