--- /dev/null
+module Database.RRDtool.Expression
+ ( MentionedVars(..)
+ , ApplyMentionedVarsOf(..)
+
+ , IsExpr
+ , IsCommonExpr
+ , IterativeExpr
+ , IsAggregativeExpr
+
+ , IsExprSet
+ , IsCommonExprSet
+
+ , Constant(..)
+ , IsVarName(..)
+ , Variable(..)
+ , IsVariableSet
+ , CommonUnaryOp(..)
+ , CommonBinaryOp(..)
+ , CommonTrinaryOp(..)
+ , CommonSetOp(..)
+ , TrendOp(..)
+ , VariableShiftPredictOp(..)
+ , FixedShiftPredictOp(..)
+ , CommonValue(..)
+ , IterativeValue(..)
+ , IterativeValueOf(..)
+ , AggregativeUnaryOp(..)
+ )
+ where
+
+import Data.HList
+
+
+-- MentionedVars
+class IsVariableSet (MentionedVarsOf a) => MentionedVars a where
+ type MentionedVarsOf a
+
+-- ApplyMentionedVarsOf
+data ApplyMentionedVarsOf = ApplyMentionedVarsOf
+
+instance Applyable ApplyMentionedVarsOf a where
+ type Apply ApplyMentionedVarsOf a = MentionedVarsOf a
+ apply = undefined
+
+-- IsExpr
+class (Show e, Eq e) => IsExpr e
+class IsExpr e => IsCommonExpr e
+class IsExpr e => IterativeExpr e
+class IsExpr e => IsAggregativeExpr e
+
+class (Show es, Eq es, HList es) => IsExprSet es
+instance IsExprSet HNil
+instance (IsExpr e, IsExprSet es) => IsExprSet (e :*: es)
+
+class (Show es, Eq es, HList es) => IsCommonExprSet es
+instance IsCommonExprSet HNil
+instance (IsCommonExpr e, IsCommonExprSet es) => IsCommonExprSet (e :*: es)
+
+
+-- Constants and variable names
+data Constant
+ = Const !Double
+ deriving (Show, Eq, Ord)
+instance IsExpr Constant
+instance IsCommonExpr Constant
+instance MentionedVars Constant where
+ type MentionedVarsOf Constant = HNil
+
+class (Show a, Eq a, Ord a) => IsVarName a where
+ varName :: a -> String
+
+data Variable vn
+ = Variable !vn
+ deriving (Show, Eq, Ord)
+
+instance IsVarName vn => IsExpr (Variable vn)
+instance IsVarName vn => IsCommonExpr (Variable vn)
+instance IsVarName vn => MentionedVars (Variable vn) where
+ type MentionedVarsOf (Variable vn) = vn :*: HNil
+
+class HList vs => IsVariableSet vs
+instance IsVariableSet HNil
+instance (IsVarName v, IsVariableSet vs) => IsVariableSet (v :*: vs)
+
+-- Common operators
+data CommonUnaryOp a
+ = IsUnknown !a
+ | IsInfinity !a
+ | Sin !a
+ | Cos !a
+ | Log !a
+ | Exp !a
+ | Sqrt !a
+ | Atan !a
+ | Floor !a
+ | Ceil !a
+ | Deg2Rad !a
+ | Rad2Deg !a
+ | Abs !a
+ deriving (Show, Eq, Ord)
+instance IsExpr a => IsExpr (CommonUnaryOp a)
+instance IsCommonExpr a => IsCommonExpr (CommonUnaryOp a)
+instance IsVariableSet (MentionedVarsOf a) => MentionedVars (CommonUnaryOp a) where
+ type MentionedVarsOf (CommonUnaryOp a) = MentionedVarsOf a
+
+data CommonBinaryOp a b
+ = !a :<: !b
+ | !a :<=: !b
+ | !a :>: !b
+ | !a :>=: !b
+ | !a :==: !b
+ | !a :/=: !b
+ | Min !a !b
+ | Max !a !b
+ | !a :+: !b
+ | !a :-: !b
+ | !a :*: !b
+ | !a :/: !b
+ | !a :%: !b
+ | AddNaN !a !b
+ | AtanXY !a !b
+ deriving (Show, Eq, Ord)
+
+instance (IsExpr a, IsExpr b) =>
+ IsExpr (CommonBinaryOp a b)
+
+instance (IsCommonExpr a, IsCommonExpr b) =>
+ IsCommonExpr (CommonBinaryOp a b)
+
+instance IsVariableSet (MentionedVarsOf a :++: MentionedVarsOf b) =>
+ MentionedVars (CommonBinaryOp a b) where
+ type MentionedVarsOf (CommonBinaryOp a b)
+ = MentionedVarsOf a :++: MentionedVarsOf b
+
+
+data CommonTrinaryOp a b c
+ = If !a !b !c
+ | Limit !a !b !c
+ deriving (Show, Eq, Ord)
+
+instance (IsExpr a, IsExpr b, IsExpr c)
+ => IsExpr (CommonTrinaryOp a b c)
+
+instance (IsCommonExpr a, IsCommonExpr b, IsCommonExpr c)
+ => IsCommonExpr (CommonTrinaryOp a b c)
+
+instance IsVariableSet (MentionedVarsOf a :++:
+ MentionedVarsOf b :++:
+ MentionedVarsOf c) =>
+ MentionedVars (CommonTrinaryOp a b c) where
+ type MentionedVarsOf (CommonTrinaryOp a b c)
+ = MentionedVarsOf a :++:
+ MentionedVarsOf b :++:
+ MentionedVarsOf c
+
+-- SORT and REV can't be expressed in this way as they pushes possibly
+-- multiple values onto the stack...
+
+data CommonSetOp es
+ = AverageOf !es
+ deriving (Show, Eq, Ord)
+
+instance IsExprSet es => IsExpr (CommonSetOp es)
+instance (IsExprSet es, IsCommonExprSet es) => IsCommonExpr (CommonSetOp es)
+instance IsVariableSet (HConcat (HMap ApplyMentionedVarsOf es)) =>
+ MentionedVars (CommonSetOp es) where
+ type MentionedVarsOf (CommonSetOp es)
+ = HConcat (HMap ApplyMentionedVarsOf es)
+
+data TrendOp vn a
+ = Trend !(Variable vn) !a
+ | TrendNan !(Variable vn) !a
+ deriving (Show, Eq, Ord)
+instance (IsVarName vn, IsExpr a) => IsExpr (TrendOp vn a)
+instance (IsVarName vn, IsCommonExpr a) => IsCommonExpr (TrendOp vn a)
+instance (IsVarName vn, MentionedVars a) => MentionedVars (TrendOp vn a) where
+ type MentionedVarsOf (TrendOp vn a) = vn :*: MentionedVarsOf a
+
+data VariableShiftPredictOp ss w vn
+ = VariableShiftPredictAverage !ss !w !(Variable vn)
+ | VariableShiftPredictSigma !ss !w !(Variable vn)
+ deriving (Show, Eq, Ord)
+instance (IsExprSet ss, IsExpr w, IsVarName vn)
+ => IsExpr (VariableShiftPredictOp ss w vn)
+instance (IsExprSet ss, IsCommonExprSet ss, IsCommonExpr w, IsVarName vn)
+ => IsCommonExpr (VariableShiftPredictOp ss w vn)
+instance ( IsVarName vn
+ , IsVariableSet (MentionedVarsOf ss :++: MentionedVarsOf w)
+ ) => MentionedVars (VariableShiftPredictOp ss w vn) where
+ type MentionedVarsOf (VariableShiftPredictOp ss w vn)
+ = vn :*: (MentionedVarsOf ss :++: MentionedVarsOf w)
+
+-- FixedShiftPredictOp
+data FixedShiftPredictOp sm w vn
+ = FixedShiftPredictAverage !sm !w !(Variable vn)
+ | FixedShiftPredictSigma !sm !w !(Variable vn)
+ deriving (Show, Eq, Ord)
+
+instance (IsExpr sm, IsExpr w, IsVarName vn)
+ => IsExpr (FixedShiftPredictOp sm w vn)
+
+instance (IsCommonExpr sm, IsCommonExpr w, IsVarName vn)
+ => IsCommonExpr (FixedShiftPredictOp sm w vn)
+
+instance ( IsVarName vn
+ , IsVariableSet (MentionedVarsOf sm :++: MentionedVarsOf w)
+ ) => MentionedVars (FixedShiftPredictOp sm w vn) where
+ type MentionedVarsOf (FixedShiftPredictOp sm w vn)
+ = vn :*: (MentionedVarsOf sm :++: MentionedVarsOf w)
+
+-- Common special values
+data CommonValue
+ = Unknown
+ | Infinity
+ | NegativeInfinity
+ | Now
+ deriving (Show, Eq, Ord)
+
+instance IsExpr CommonValue
+
+instance IsCommonExpr CommonValue
+
+instance MentionedVars CommonValue where
+ type MentionedVarsOf CommonValue = HNil
+
+-- Iterative special values
+data IterativeValue
+ = Previous
+ | Count
+ | TakenTime
+ | TakenLocalTime
+ deriving (Show, Eq, Ord)
+
+instance IsExpr IterativeValue
+
+instance IterativeExpr IterativeValue
+
+instance MentionedVars IterativeValue where
+ type MentionedVarsOf IterativeValue = HNil
+
+-- Iterative special values of something
+data IterativeValueOf vn
+ = PreviousOf !(Variable vn)
+ deriving (Show, Eq, Ord)
+
+instance IsVarName vn => IsExpr (IterativeValueOf vn)
+
+instance IsVarName vn => IterativeExpr (IterativeValueOf vn)
+
+instance IsVarName vn => MentionedVars (IterativeValueOf vn) where
+ type MentionedVarsOf (IterativeValueOf vn) = vn :*: HNil
+
+-- Aggregative operators (fairly restricted due to rrdtool's
+-- restriction)
+data AggregativeUnaryOp vn
+ = Maximum !(Variable vn)
+ | Minimum !(Variable vn)
+ | Average !(Variable vn)
+ | StandardDeviation !(Variable vn)
+ | First !(Variable vn)
+ | Last !(Variable vn)
+ | Total !(Variable vn)
+ | Percent !(Variable vn) !Constant
+ | PercentNan !(Variable vn) !Constant
+ | LSLSlope !(Variable vn)
+ | LSLInt !(Variable vn)
+ | LSLCorrel !(Variable vn)
+ deriving (Show, Eq, Ord)
+
+instance IsVarName vn => IsExpr (AggregativeUnaryOp vn)
+
+instance IsVarName vn => IsAggregativeExpr (AggregativeUnaryOp vn)
+
+instance IsVarName vn => MentionedVars (AggregativeUnaryOp vn) where
+ type MentionedVarsOf (AggregativeUnaryOp vn) = vn :*: HNil
projects / hs-rrdtool.git / blobdiff