{-# language FlexibleContexts #-}
{-# language TypeFamilies #-}
{-# options_ghc -fno-warn-redundant-constraints #-}
module Rel8.Expr.Num
( fromIntegral
, realToFrac
, div, mod, divMod
, quot, rem, quotRem
, ceiling, floor, round, truncate
)
where
import Prelude ( (+), (-), fst, negate, signum, snd )
import Rel8.Expr ( Expr( Expr ) )
import Rel8.Expr.Eq ( (==.) )
import Rel8.Expr.Function ( function )
import Rel8.Expr.Opaleye ( castExpr )
import Rel8.Schema.Null ( Homonullable, Sql )
import Rel8.Table.Bool ( bool )
import Rel8.Type.Num ( DBFractional, DBIntegral, DBNum )
fromIntegral :: (Sql DBIntegral a, Sql DBNum b, Homonullable a b)
=> Expr a -> Expr b
fromIntegral :: forall a b.
(Sql DBIntegral a, Sql DBNum b, Homonullable a b) =>
Expr a -> Expr b
fromIntegral (Expr PrimExpr
a) = forall a. Sql DBType a => Expr a -> Expr a
castExpr (forall a. PrimExpr -> Expr a
Expr PrimExpr
a)
realToFrac :: (Sql DBNum a, Sql DBFractional b, Homonullable a b)
=> Expr a -> Expr b
realToFrac :: forall a b.
(Sql DBNum a, Sql DBFractional b, Homonullable a b) =>
Expr a -> Expr b
realToFrac (Expr PrimExpr
a) = forall a. Sql DBType a => Expr a -> Expr a
castExpr (forall a. PrimExpr -> Expr a
Expr PrimExpr
a)
ceiling :: (Sql DBFractional a, Sql DBIntegral b, Homonullable a b)
=> Expr a -> Expr b
ceiling :: forall a b.
(Sql DBFractional a, Sql DBIntegral b, Homonullable a b) =>
Expr a -> Expr b
ceiling = forall args result.
Function args result =>
String -> args -> result
function String
"ceiling"
div :: Sql DBIntegral a => Expr a -> Expr a -> Expr a
div :: forall a. Sql DBIntegral a => Expr a -> Expr a -> Expr a
div Expr a
n Expr a
d = forall a b. (a, b) -> a
fst (forall a. Sql DBIntegral a => Expr a -> Expr a -> (Expr a, Expr a)
divMod Expr a
n Expr a
d)
mod :: Sql DBIntegral a => Expr a -> Expr a -> Expr a
mod :: forall a. Sql DBIntegral a => Expr a -> Expr a -> Expr a
mod Expr a
n Expr a
d = forall a b. (a, b) -> b
snd (forall a. Sql DBIntegral a => Expr a -> Expr a -> (Expr a, Expr a)
divMod Expr a
n Expr a
d)
divMod :: Sql DBIntegral a => Expr a -> Expr a -> (Expr a, Expr a)
divMod :: forall a. Sql DBIntegral a => Expr a -> Expr a -> (Expr a, Expr a)
divMod Expr a
n Expr a
d = forall a. Table Expr a => a -> a -> Expr Bool -> a
bool (Expr a, Expr a)
qr (Expr a
q forall a. Num a => a -> a -> a
- Expr a
1, Expr a
r forall a. Num a => a -> a -> a
+ Expr a
d) (forall a. Num a => a -> a
signum Expr a
r forall a. Sql DBEq a => Expr a -> Expr a -> Expr Bool
==. forall a. Num a => a -> a
negate (forall a. Num a => a -> a
signum Expr a
d))
where
qr :: (Expr a, Expr a)
qr@(Expr a
q, Expr a
r) = forall a. Sql DBIntegral a => Expr a -> Expr a -> (Expr a, Expr a)
quotRem Expr a
n Expr a
d
quot :: Sql DBIntegral a => Expr a -> Expr a -> Expr a
quot :: forall a. Sql DBIntegral a => Expr a -> Expr a -> Expr a
quot = forall args result.
Function args result =>
String -> args -> result
function String
"div"
rem :: Sql DBIntegral a => Expr a -> Expr a -> Expr a
rem :: forall a. Sql DBIntegral a => Expr a -> Expr a -> Expr a
rem = forall args result.
Function args result =>
String -> args -> result
function String
"mod"
quotRem :: Sql DBIntegral a => Expr a -> Expr a -> (Expr a, Expr a)
quotRem :: forall a. Sql DBIntegral a => Expr a -> Expr a -> (Expr a, Expr a)
quotRem Expr a
n Expr a
d = (forall a. Sql DBIntegral a => Expr a -> Expr a -> Expr a
quot Expr a
n Expr a
d, forall a. Sql DBIntegral a => Expr a -> Expr a -> Expr a
rem Expr a
n Expr a
d)
floor :: (Sql DBFractional a, Sql DBIntegral b, Homonullable a b)
=> Expr a -> Expr b
floor :: forall a b.
(Sql DBFractional a, Sql DBIntegral b, Homonullable a b) =>
Expr a -> Expr b
floor = forall args result.
Function args result =>
String -> args -> result
function String
"floor"
round :: (Sql DBFractional a, Sql DBIntegral b, Homonullable a b)
=> Expr a -> Expr b
round :: forall a b.
(Sql DBFractional a, Sql DBIntegral b, Homonullable a b) =>
Expr a -> Expr b
round = forall args result.
Function args result =>
String -> args -> result
function String
"round"
truncate :: (Sql DBFractional a, Sql DBIntegral b, Homonullable a b)
=> Expr a -> Expr b
truncate :: forall a b.
(Sql DBFractional a, Sql DBIntegral b, Homonullable a b) =>
Expr a -> Expr b
truncate = forall args result.
Function args result =>
String -> args -> result
function String
"trunc"