1 {-# GHC_PRAGMA INTERFACE VERSION 5 #-}
2 interface PreludeComplex where
3 import PreludeBuiltin(Double(..), Tuple2)
4 import PreludeCore(Eq(..), Floating(..), Fractional(..), Num(..), RealFloat(..), Text(..))
5 cis :: RealFloat a => a -> Complex a
6 {-# GHC_PRAGMA _A_ 2 _U_ 12 _N_ _N_ _N_ _SPECIALISE_ [ Double ] 1 { _A_ 1 _U_ 2 _N_ _N_ _N_ _N_ } #-}
7 conjugate :: RealFloat a => Complex a -> Complex a
8 {-# GHC_PRAGMA _A_ 2 _U_ 11 _N_ _S_ "LU(LL)" {_A_ 3 _U_ 122 _N_ _N_ _N_ _N_} _N_ _SPECIALISE_ [ Double ] 1 { _A_ 1 _U_ 1 _N_ _S_ "U(LL)" {_A_ 2 _U_ 21 _N_ _N_ _N_ _N_} _N_ _N_ } #-}
9 imagPart :: Complex a -> a
10 {-# GHC_PRAGMA _A_ 1 _U_ 1 _N_ _S_ "U(AS)" {_A_ 1 _U_ 1 _N_ _N_ _F_ _IF_ARGS_ 1 1 X 1 _/\_ u0 -> \ (u1 :: u0) -> u1 _N_} _F_ _IF_ARGS_ 1 1 C 2 _/\_ u0 -> \ (u1 :: Complex u0) -> case u1 of { _ALG_ (:+) (u2 :: u0) (u3 :: u0) -> u3; _NO_DEFLT_ } _N_ #-}
11 magnitude :: RealFloat a => Complex a -> a
12 {-# GHC_PRAGMA _A_ 1 _U_ 12 _N_ _S_ "U(ALAAAAALAS)" {_A_ 3 _U_ 2221 _N_ _N_ _N_ _N_} _N_ _SPECIALISE_ [ Double ] 1 { _A_ 1 _U_ 1 _N_ _S_ "U(LL)" {_A_ 2 _U_ 22 _N_ _N_ _N_ _N_} _N_ _N_ } #-}
13 mkPolar :: RealFloat a => a -> a -> Complex a
14 {-# GHC_PRAGMA _A_ 3 _U_ 122 _N_ _N_ _N_ _SPECIALISE_ [ Double ] 1 { _A_ 2 _U_ 22 _N_ _N_ _N_ _N_ } #-}
15 phase :: RealFloat a => Complex a -> a
16 {-# GHC_PRAGMA _A_ 1 _U_ 12 _N_ _S_ "U(U(U(AU(U(ALAASAAA)AAAA)A)AAAAAA)U(U(SLAA)LAAAAAAAAAALAAAAAA)AAAAAAAA)" {_A_ 5 _U_ 222221 _N_ _N_ _N_ _N_} _N_ _SPECIALISE_ [ Double ] 1 { _A_ 1 _U_ 1 _N_ _S_ "U(U(P)U(P))" {_A_ 2 _U_ 22 _N_ _N_ _N_ _N_} _N_ _N_ } #-}
17 polar :: RealFloat a => Complex a -> (a, a)
18 {-# GHC_PRAGMA _A_ 1 _U_ 22 _N_ _N_ _N_ _SPECIALISE_ [ Double ] 1 { _A_ 1 _U_ 2 _N_ _N_ _N_ _N_ } #-}
19 realPart :: Complex a -> a
20 {-# GHC_PRAGMA _A_ 1 _U_ 1 _N_ _S_ "U(SA)" {_A_ 1 _U_ 1 _N_ _N_ _F_ _IF_ARGS_ 1 1 X 1 _/\_ u0 -> \ (u1 :: u0) -> u1 _N_} _F_ _IF_ARGS_ 1 1 C 2 _/\_ u0 -> \ (u1 :: Complex u0) -> case u1 of { _ALG_ (:+) (u2 :: u0) (u3 :: u0) -> u2; _NO_DEFLT_ } _N_ #-}
21 instance Eq a => Eq (Complex a)
22 {-# GHC_PRAGMA _M_ PreludeComplex {-dfun-} _A_ 1 _U_ 2 _N_ _N_ _N_ _N_ #-}
23 instance Eq (Complex Double)
24 {-# GHC_PRAGMA _M_ PreludeComplex {-dfun-} _A_ 0 _N_ _N_ _N_ _F_ _IF_ARGS_ 0 0 X 3 _!_ _TUP_2 [(Complex Double -> Complex Double -> Bool), (Complex Double -> Complex Double -> Bool)] [_CONSTM_ Eq (==) (Complex Double), _CONSTM_ Eq (/=) (Complex Double)] _N_
25 (==) = _A_ 2 _U_ 11 _N_ _S_ "U(U(P)L)U(U(P)L)" {_A_ 4 _U_ 2121 _N_ _N_ _F_ _IF_ARGS_ 0 4 XCXC 7 \ (u0 :: Double#) (u1 :: Double) (u2 :: Double#) (u3 :: Double) -> case _#_ eqDouble# [] [u0, u2] of { _ALG_ True -> case u1 of { _ALG_ D# (u4 :: Double#) -> case u3 of { _ALG_ D# (u5 :: Double#) -> _#_ eqDouble# [] [u4, u5]; _NO_DEFLT_ }; _NO_DEFLT_ }; False -> _!_ False [] []; _NO_DEFLT_ } _N_} _F_ _ALWAYS_ \ (u0 :: Complex Double) (u1 :: Complex Double) -> case u0 of { _ALG_ (:+) (u2 :: Double) (u3 :: Double) -> case u2 of { _ALG_ D# (u4 :: Double#) -> case u1 of { _ALG_ (:+) (u5 :: Double) (u6 :: Double) -> case u5 of { _ALG_ D# (u7 :: Double#) -> case _#_ eqDouble# [] [u4, u7] of { _ALG_ True -> case u3 of { _ALG_ D# (u8 :: Double#) -> case u6 of { _ALG_ D# (u9 :: Double#) -> _#_ eqDouble# [] [u8, u9]; _NO_DEFLT_ }; _NO_DEFLT_ }; False -> _!_ False [] []; _NO_DEFLT_ }; _NO_DEFLT_ }; _NO_DEFLT_ }; _NO_DEFLT_ }; _NO_DEFLT_ } _N_,
26 (/=) = _A_ 2 _U_ 11 _N_ _S_ "U(U(P)L)U(U(P)L)" {_A_ 4 _U_ 2121 _N_ _N_ _F_ _IF_ARGS_ 0 4 XCXC 7 \ (u0 :: Double#) (u1 :: Double) (u2 :: Double#) (u3 :: Double) -> case _#_ neDouble# [] [u0, u2] of { _ALG_ True -> _!_ True [] []; False -> case u1 of { _ALG_ D# (u4 :: Double#) -> case u3 of { _ALG_ D# (u5 :: Double#) -> _#_ neDouble# [] [u4, u5]; _NO_DEFLT_ }; _NO_DEFLT_ }; _NO_DEFLT_ } _N_} _F_ _ALWAYS_ \ (u0 :: Complex Double) (u1 :: Complex Double) -> case u0 of { _ALG_ (:+) (u2 :: Double) (u3 :: Double) -> case u2 of { _ALG_ D# (u4 :: Double#) -> case u1 of { _ALG_ (:+) (u5 :: Double) (u6 :: Double) -> case u5 of { _ALG_ D# (u7 :: Double#) -> case _#_ neDouble# [] [u4, u7] of { _ALG_ True -> _!_ True [] []; False -> case u3 of { _ALG_ D# (u8 :: Double#) -> case u6 of { _ALG_ D# (u9 :: Double#) -> _#_ neDouble# [] [u8, u9]; _NO_DEFLT_ }; _NO_DEFLT_ }; _NO_DEFLT_ }; _NO_DEFLT_ }; _NO_DEFLT_ }; _NO_DEFLT_ }; _NO_DEFLT_ } _N_ #-}
27 instance RealFloat a => Floating (Complex a)
28 {-# GHC_PRAGMA _M_ PreludeComplex {-dfun-} _A_ 2 _U_ 22 _N_ _N_ _N_ _N_ #-}
29 instance Floating (Complex Double)
30 {-# GHC_PRAGMA _M_ PreludeComplex {-dfun-} _A_ 0 _N_ _N_ _N_ _F_ _IF_ARGS_ 0 0 X 20 _!_ _TUP_19 [{{Fractional (Complex Double)}}, (Complex Double), (Complex Double -> Complex Double), (Complex Double -> Complex Double), (Complex Double -> Complex Double), (Complex Double -> Complex Double -> Complex Double), (Complex Double -> Complex Double -> Complex Double), (Complex Double -> Complex Double), (Complex Double -> Complex Double), (Complex Double -> Complex Double), (Complex Double -> Complex Double), (Complex Double -> Complex Double), (Complex Double -> Complex Double), (Complex Double -> Complex Double), (Complex Double -> Complex Double), (Complex Double -> Complex Double), (Complex Double -> Complex Double), (Complex Double -> Complex Double), (Complex Double -> Complex Double)] [_DFUN_ Fractional (Complex Double), _CONSTM_ Floating pi (Complex Double), _CONSTM_ Floating exp (Complex Double), _CONSTM_ Floating log (Complex Double), _CONSTM_ Floating sqrt (Complex Double), _CONSTM_ Floating (**) (Complex Double), _CONSTM_ Floating logBase (Complex Double), _CONSTM_ Floating sin (Complex Double), _CONSTM_ Floating cos (Complex Double), _CONSTM_ Floating tan (Complex Double), _CONSTM_ Floating asin (Complex Double), _CONSTM_ Floating acos (Complex Double), _CONSTM_ Floating atan (Complex Double), _CONSTM_ Floating sinh (Complex Double), _CONSTM_ Floating cosh (Complex Double), _CONSTM_ Floating tanh (Complex Double), _CONSTM_ Floating asinh (Complex Double), _CONSTM_ Floating acosh (Complex Double), _CONSTM_ Floating atanh (Complex Double)] _N_
31 pi = _A_ 0 _N_ _N_ _N_ _N_ _N_,
32 exp = _A_ 1 _U_ 1 _N_ _S_ "U(LL)" {_A_ 2 _U_ 12 _N_ _N_ _N_ _N_} _N_ _N_,
33 log = _A_ 1 _U_ 2 _N_ _N_ _N_ _N_,
34 sqrt = _A_ 1 _U_ 1 _N_ _S_ "U(U(P)L)" {_A_ 2 _U_ 22 _N_ _N_ _N_ _N_} _N_ _N_,
35 (**) = _A_ 2 _U_ 21 _N_ _S_ "LU(LL)" {_A_ 3 _U_ 222 _N_ _N_ _N_ _N_} _N_ _N_,
36 logBase = _A_ 2 _U_ 22 _N_ _N_ _N_ _N_,
37 sin = _A_ 1 _U_ 1 _N_ _S_ "U(LL)" {_A_ 2 _U_ 22 _N_ _N_ _N_ _N_} _N_ _N_,
38 cos = _A_ 1 _U_ 1 _N_ _S_ "U(LL)" {_A_ 2 _U_ 22 _N_ _N_ _N_ _N_} _N_ _N_,
39 tan = _A_ 1 _U_ 1 _N_ _S_ "U(LL)" {_A_ 2 _U_ 22 _N_ _N_ _N_ _N_} _N_ _N_,
40 asin = _A_ 1 _U_ 1 _N_ _S_ "U(LL)" {_A_ 2 _U_ 22 _N_ _N_ _N_ _N_} _N_ _N_,
41 acos = _A_ 1 _U_ 1 _N_ _S_ "U(LL)" {_A_ 2 _U_ 22 _N_ _N_ _N_ _N_} _N_ _N_,
42 atan = _A_ 1 _U_ 1 _N_ _S_ "U(LL)" {_A_ 2 _U_ 22 _N_ _N_ _N_ _N_} _N_ _N_,
43 sinh = _A_ 1 _U_ 1 _N_ _S_ "U(LL)" {_A_ 2 _U_ 22 _N_ _N_ _N_ _N_} _N_ _N_,
44 cosh = _A_ 1 _U_ 1 _N_ _S_ "U(LL)" {_A_ 2 _U_ 22 _N_ _N_ _N_ _N_} _N_ _N_,
45 tanh = _A_ 1 _U_ 1 _N_ _S_ "U(LL)" {_A_ 2 _U_ 22 _N_ _N_ _N_ _N_} _N_ _N_,
46 asinh = _A_ 1 _U_ 1 _N_ _N_ _N_ _N_,
47 acosh = _A_ 1 _U_ 1 _N_ _N_ _N_ _N_,
48 atanh = _A_ 1 _U_ 1 _N_ _N_ _N_ _N_ #-}
49 instance RealFloat a => Fractional (Complex a)
50 {-# GHC_PRAGMA _M_ PreludeComplex {-dfun-} _A_ 2 _U_ 22 _N_ _N_ _N_ _N_ #-}
51 instance Fractional (Complex Double)
52 {-# GHC_PRAGMA _M_ PreludeComplex {-dfun-} _A_ 0 _N_ _N_ _N_ _F_ _IF_ARGS_ 0 0 X 5 _!_ _TUP_4 [{{Num (Complex Double)}}, (Complex Double -> Complex Double -> Complex Double), (Complex Double -> Complex Double), (Ratio Integer -> Complex Double)] [_DFUN_ Num (Complex Double), _CONSTM_ Fractional (/) (Complex Double), _CONSTM_ Fractional recip (Complex Double), _CONSTM_ Fractional fromRational (Complex Double)] _N_
53 (/) = _A_ 2 _U_ 11 _N_ _S_ "U(LL)U(LL)" {_A_ 4 _U_ 2222 _N_ _N_ _N_ _N_} _N_ _N_,
54 recip = _A_ 1 _U_ 1 _N_ _S_ "U(LL)" {_A_ 2 _U_ 22 _N_ _N_ _N_ _N_} _N_ _N_,
55 fromRational = _A_ 1 _U_ 2 _N_ _N_ _N_ _N_ #-}
56 instance RealFloat a => Num (Complex a)
57 {-# GHC_PRAGMA _M_ PreludeComplex {-dfun-} _A_ 3 _U_ 222 _N_ _N_ _N_ _N_ #-}
58 instance Num (Complex Double)
59 {-# GHC_PRAGMA _M_ PreludeComplex {-dfun-} _A_ 0 _N_ _N_ _N_ _N_ _N_
60 (+) = _A_ 2 _U_ 11 _N_ _S_ "U(LL)U(LL)" {_A_ 4 _U_ 1111 _N_ _N_ _N_ _N_} _N_ _N_,
61 (-) = _A_ 2 _U_ 11 _N_ _S_ "U(LL)U(LL)" {_A_ 4 _U_ 1111 _N_ _N_ _N_ _N_} _N_ _N_,
62 (*) = _A_ 2 _U_ 11 _N_ _S_ "U(LL)U(LL)" {_A_ 4 _U_ 2222 _N_ _N_ _N_ _N_} _N_ _N_,
63 negate = _A_ 1 _U_ 1 _N_ _S_ "U(LL)" {_A_ 2 _U_ 11 _N_ _N_ _N_ _N_} _N_ _N_,
64 abs = _A_ 1 _U_ 1 _N_ _N_ _N_ _N_,
65 signum = _A_ 1 _U_ 1 _N_ _S_ "U(U(P)L)" {_A_ 2 _U_ 22 _N_ _N_ _N_ _N_} _N_ _N_,
66 fromInteger = _A_ 1 _U_ 1 _N_ _N_ _N_ _N_,
67 fromInt = _A_ 1 _U_ 1 _N_ _N_ _N_ _N_ #-}
68 instance Text a => Text (Complex a)
69 {-# GHC_PRAGMA _M_ PreludeComplex {-dfun-} _A_ 1 _U_ 2 _N_ _N_ _N_ _N_ #-}