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module Feldspar.Core.Frontend.Complex
where

import Data.Complex (Complex)

import Feldspar.Core.Types
import Feldspar.Core.Constructs
import Feldspar.Core.Constructs.Complex
import Feldspar.Core.Frontend.Num

import Language.Syntactic

complex :: (Numeric a, RealFloat a) => Data a -> Data a -> Data (Complex a)
complex = sugarSym MkComplex

realPart :: (Numeric a, RealFloat a) => Data (Complex a) -> Data a
realPart = sugarSym RealPart

imagPart :: (Numeric a, RealFloat a) => Data (Complex a) -> Data a
imagPart = sugarSym ImagPart

conjugate :: (Numeric a, RealFloat a) => Data (Complex a) -> Data (Complex a)
conjugate = sugarSym Conjugate

mkPolar :: (Numeric a, RealFloat a) => Data a -> Data a -> Data (Complex a)
mkPolar = sugarSym MkPolar

cis :: (Numeric a, RealFloat a) => Data a -> Data (Complex a)
cis = sugarSym Cis

magnitude :: (Numeric a, RealFloat a) => Data (Complex a) -> Data a
magnitude = sugarSym Magnitude

phase :: (Numeric a, RealFloat a) => Data (Complex a) -> Data a
phase = sugarSym Phase

polar :: (Numeric a, RealFloat a) => Data (Complex a) -> (Data a, Data a)
polar c = (magnitude c, phase c)

infixl 6 +.

(+.) :: (Numeric a, RealFloat a) => Data a -> Data a -> Data (Complex a)
(+.) = complex

iunit :: (Numeric a, RealFloat a) => Data (Complex a)
iunit = 0 +. 1