primitives: added all necessary primitives

README.md

@@ -11,11 +11,14 @@ The idea behind `bc` is to display partial results to the right of the
 cursor in yellow while we type. A little example can be found in the video
 above. Minor syntactic cleanups have been developed as well (e.g. no `local`
 keyword). We have infinite precision integers and 90 decimal mantissa precision
-floats.
+floats (similar to setting `scale` to 90).
+
+We support all builtin functions, but have no IO (no `print`).
 
 ## TODO
 
 - A good readline copy (haskeline is sadly out of the question for this project)
+  - Add keyboard shortcuts
 - Comment parsing
 - Closures that can modify the parent environment (but do away with the `local` keyword).
 - Better arbitrary precision floats

bc.cabal

@@ -14,6 +14,12 @@ cabal-version:       >=1.10
 executable bc
   main-is:             Main.hs
   hs-source-dirs:      src/
-  build-depends:       base >=4.9 && <4.10, directory, hashmap, numbers, parsec, strict, unix
+  build-depends:       base >=4.9 && <4.10,
+                       directory,
+                       hashmap,
+                       numbers,
+                       parsec,
+                       strict,
+                       unix
   hs-source-dirs:      src
   default-language:    Haskell2010

src/BC/C.hs

@@ -0,0 +1,11 @@
+{-# LANGUAGE ForeignFunctionInterface #-}
+module BC.C where
+
+import Foreign
+import Foreign.C.Types
+
+foreign import ccall unsafe "math.h jn"
+     c_jn :: CInt -> CDouble -> CDouble
+
+jn :: (Real a, Fractional a) => Integer -> a -> a
+jn x y = realToFrac $ c_jn (fromIntegral x) (realToFrac y)

src/BC/Primitives.hs

@@ -1,5 +1,6 @@
 module BC.Primitives where
 
+import BC.C
 import BC.Types
 
 primitives :: [(String, Value)]
@@ -8,19 +9,48 @@ primitives = map valuize primitivesList
 
 
 primitivesList :: [(String, [Value] -> Value)]
-primitivesList = [ ("cos", pcos)
+primitivesList = [ ("c", pcos)
+                 , ("s", psine)
+                 , ("a", parc)
+                 , ("l", plog)
+                 , ("e", ppow)
+                 , ("j", pbessel)
                  , ("sqrt", psqrt)
                  ]
 
 
+pmath :: (BF -> BF) -> [Value] -> Value
+pmath f [BNum (BInt x)] = BNum $ BFloat $ f $ fromIntegral x
+pmath f [BNum (BFloat x)] = BNum $ BFloat $ f x
+pmath f [x] = BErr $ "Expected argument to be a number, got " ++ show x
+pmath f x = BErr $ "Expected exactly one argument, got " ++ (show $ length x)
+
+
 psqrt :: [Value] -> Value
-psqrt [BNum (BInt x)] = BNum $ BFloat $ sqrt $ fromIntegral x
-psqrt [BNum (BFloat x)] = BNum $ BFloat $ sqrt x
-psqrt [x] = BErr $ "Expected argument to be a number, got " ++ show x
+psqrt = pmath sqrt
 
 
 pcos :: [Value] -> Value
-pcos [BNum (BInt x)] = BNum $ BFloat $ cos $ fromIntegral x
-pcos [BNum (BFloat x)] = BNum $ BFloat $ cos x
-pcos [x] = BErr $ "Expected argument to be a number, got " ++ show x
+pcos = pmath cos
 
+psine :: [Value] -> Value
+psine = pmath sin
+
+parc :: [Value] -> Value
+parc = pmath atan
+
+plog :: [Value] -> Value
+plog = pmath log
+
+e :: BF
+e = exp 1
+
+ppow :: [Value] -> Value
+ppow = pmath (e **)
+
+pbessel :: [Value] -> Value
+pbessel [BNum (BInt x), BNum (BInt y)] = BNum $ BFloat $ jn x $ fromIntegral y
+pbessel [BNum (BInt x), BNum (BFloat y)] = BNum $ BFloat $ jn x y
+pbessel [x, BNum _] = BErr $ "Expected argument to be an integer, got " ++ show x
+pbessel [_, x] = BErr $ "Expected argument to be a number, got " ++ show x
+pbessel x = BErr $ "Expected exactly two arguments, got " ++ (show $ length x)

src/BC/Types.hs

@@ -38,9 +38,12 @@ instance Show Value where
   show (BNative _) = "native"
 
 
+type BF = BigFloat (PrecPlus20 (PrecPlus20 Prec50))
+
+
 -- sorry, this is a little hacky
 data Number = BInt Integer
-            | BFloat (BigFloat (PrecPlus20 (PrecPlus20 Prec50)))
+            | BFloat BF
   deriving (Ord, Eq)
 instance Show Number where
   show (BInt i) = show i