X-Git-Url: http://git.megacz.com/?a=blobdiff_plain;f=Numeric.hs;fp=Numeric.hs;h=89ac0ca9c96a90f7bf778e124b66e692fc22def8;hb=3868c8ecba9479ffb24063cb3972cea960a7d1e4;hp=d14c591731929c466ae1f26472c2a6ae3b61502d;hpb=e339d27dc714a2ddd5043ead2a359b4f6d45e9a7;p=ghc-base.git diff --git a/Numeric.hs b/Numeric.hs index d14c591..89ac0ca 100644 --- a/Numeric.hs +++ b/Numeric.hs @@ -10,24 +10,18 @@ -- Portability : portable -- -- Odds and ends, mostly functions for reading and showing --- RealFloat-like kind of values. +-- 'RealFloat'-like kind of values. -- ----------------------------------------------------------------------------- module Numeric ( - fromRat, -- :: (RealFloat a) => Rational -> a - showSigned, -- :: (Real a) => (a -> ShowS) -> Int -> a -> ShowS - readSigned, -- :: (Real a) => ReadS a -> ReadS a + -- * Showing - readInt, -- :: (Integral a) => a -> (Char -> Bool) - -- -> (Char -> Int) -> ReadS a - readDec, -- :: (Integral a) => ReadS a - readOct, -- :: (Integral a) => ReadS a - readHex, -- :: (Integral a) => ReadS a + showSigned, -- :: (Real a) => (a -> ShowS) -> Int -> a -> ShowS - showInt, -- :: Integral a => a -> ShowS showIntAtBase, -- :: Integral a => a -> (a -> Char) -> a -> ShowS + showInt, -- :: Integral a => a -> ShowS showHex, -- :: Integral a => a -> ShowS showOct, -- :: Integral a => a -> ShowS @@ -35,11 +29,31 @@ module Numeric ( showFFloat, -- :: (RealFloat a) => Maybe Int -> a -> ShowS showGFloat, -- :: (RealFloat a) => Maybe Int -> a -> ShowS showFloat, -- :: (RealFloat a) => a -> ShowS + + floatToDigits, -- :: (RealFloat a) => Integer -> a -> ([Int], Int) + + -- * Reading + + -- | /NB:/ 'readInt' is the \'dual\' of 'showIntAtBase', + -- and 'readDec' is the \`dual\' of 'showInt'. + -- The inconsistent naming is a historical accident. + + readSigned, -- :: (Real a) => ReadS a -> ReadS a + + readInt, -- :: (Integral a) => a -> (Char -> Bool) + -- -> (Char -> Int) -> ReadS a + readDec, -- :: (Integral a) => ReadS a + readOct, -- :: (Integral a) => ReadS a + readHex, -- :: (Integral a) => ReadS a + readFloat, -- :: (RealFloat a) => ReadS a - floatToDigits, -- :: (RealFloat a) => Integer -> a -> ([Int], Int) lexDigits, -- :: ReadS String + -- * Miscellaneous + + fromRat, -- :: (RealFloat a) => Rational -> a + ) where #ifdef __GLASGOW_HASKELL__ @@ -65,14 +79,29 @@ import Hugs.Numeric -- ----------------------------------------------------------------------------- -- Reading -readInt :: Num a => a -> (Char -> Bool) -> (Char -> Int) -> ReadS a +-- | Reads an /unsigned/ 'Integral' value in an arbitrary base. +readInt :: Num a + => a -- ^ the base + -> (Char -> Bool) -- ^ a predicate distinguishing valid digits in this base + -> (Char -> Int) -- ^ a function converting a valid digit character to an 'Int' + -> ReadS a readInt base isDigit valDigit = readP_to_S (L.readIntP base isDigit valDigit) -readOct, readDec, readHex :: Num a => ReadS a +-- | Read an unsigned number in octal notation. +readOct :: Num a => ReadS a readOct = readP_to_S L.readOctP + +-- | Read an unsigned number in decimal notation. +readDec :: Num a => ReadS a readDec = readP_to_S L.readDecP + +-- | Read an unsigned number in hexadecimal notation. +-- Both upper or lower case letters are allowed. +readHex :: Num a => ReadS a readHex = readP_to_S L.readHexP +-- | Reads an /unsigned/ 'RealFrac' value, +-- expressed in decimal scientific notation. readFloat :: RealFrac a => ReadS a readFloat = readP_to_S readFloatP @@ -87,6 +116,8 @@ readFloatP = -- It's turgid to have readSigned work using list comprehensions, -- but it's specified as a ReadS to ReadS transformer -- With a bit of luck no one will use it. + +-- | Reads a /signed/ 'Real' value, given a reader for an unsigned value. readSigned :: (Real a) => ReadS a -> ReadS a readSigned readPos = readParen False read' where read' r = read'' r ++ @@ -102,6 +133,7 @@ readSigned readPos = readParen False read' -- ----------------------------------------------------------------------------- -- Showing +-- | Show /non-negative/ 'Integral' numbers in base 10. showInt :: Integral a => a -> ShowS showInt n cs | n < 0 = error "Numeric.showInt: can't show negative numbers" @@ -129,8 +161,29 @@ showInt n cs Maybe Int -> Float -> ShowS, Maybe Int -> Double -> ShowS #-} +-- | Show a signed 'RealFloat' value +-- using scientific (exponential) notation (e.g. @2.45e2@, @1.5e-3@). +-- +-- In the call @'showEFloat' digs val@, if @digs@ is 'Nothing', +-- the value is shown to full precision; if @digs@ is @'Just' d@, +-- then at most @d@ digits after the decimal point are shown. showEFloat :: (RealFloat a) => Maybe Int -> a -> ShowS + +-- | Show a signed 'RealFloat' value +-- using standard decimal notation (e.g. @245000@, @0.0015@). +-- +-- In the call @'showFFloat' digs val@, if @digs@ is 'Nothing', +-- the value is shown to full precision; if @digs@ is @'Just' d@, +-- then at most @d@ digits after the decimal point are shown. showFFloat :: (RealFloat a) => Maybe Int -> a -> ShowS + +-- | Show a signed 'RealFloat' value +-- using standard decimal notation for arguments whose absolute value lies +-- between @0.1@ and @9,999,999@, and scientific notation otherwise. +-- +-- In the call @'showGFloat' digs val@, if @digs@ is 'Nothing', +-- the value is shown to full precision; if @digs@ is @'Just' d@, +-- then at most @d@ digits after the decimal point are shown. showGFloat :: (RealFloat a) => Maybe Int -> a -> ShowS showEFloat d x = showString (formatRealFloat FFExponent d x) @@ -141,6 +194,8 @@ showGFloat d x = showString (formatRealFloat FFGeneric d x) -- --------------------------------------------------------------------------- -- Integer printing functions +-- | Shows a /non-negative/ 'Integral' number using the base specified by the +-- first argument, and the character representation specified by the second. showIntAtBase :: Integral a => a -> (Int -> Char) -> a -> ShowS showIntAtBase base toChr n r | base <= 1 = error ("Numeric.showIntAtBase: applied to unsupported base " ++ show base) @@ -155,6 +210,10 @@ showIntAtBase base toChr n r c = toChr (fromIntegral d) r' = c : r -showHex, showOct :: Integral a => a -> ShowS +-- | Show /non-negative/ 'Integral' numbers in base 16. +showHex :: Integral a => a -> ShowS showHex = showIntAtBase 16 intToDigit + +-- | Show /non-negative/ 'Integral' numbers in base 8. +showOct :: Integral a => a -> ShowS showOct = showIntAtBase 8 intToDigit