aern2-real 0.2.7.0 → 0.2.8.0
raw patch · 4 files changed
+211/−176 lines, 4 filesPVP: major bump suggested
API removals or changes: PVP suggests a major version bump
API changes (from Hackage documentation)
- AERN2.Real.Field: instance (Numeric.MixedTypes.Div.CanDiv AERN2.MP.Dyadic.Dyadic a, Numeric.MixedTypes.Eq.CanTestZero a) => Numeric.MixedTypes.Div.CanDiv (Numeric.CollectErrors.Type.CN AERN2.MP.Dyadic.Dyadic) (AERN2.Real.Type.CSequence a)
- AERN2.Real.Field: instance (Numeric.MixedTypes.Div.CanDiv AERN2.MP.Dyadic.Dyadic a, Numeric.MixedTypes.Eq.CanTestZero a) => Numeric.MixedTypes.Div.CanDiv AERN2.MP.Dyadic.Dyadic (AERN2.Real.Type.CSequence a)
- AERN2.Real.Field: instance (Numeric.MixedTypes.Div.CanDiv GHC.Integer.Type.Integer a, Numeric.MixedTypes.Eq.CanTestZero a) => Numeric.MixedTypes.Div.CanDiv (Numeric.CollectErrors.Type.CN GHC.Integer.Type.Integer) (AERN2.Real.Type.CSequence a)
- AERN2.Real.Field: instance (Numeric.MixedTypes.Div.CanDiv GHC.Integer.Type.Integer a, Numeric.MixedTypes.Eq.CanTestZero a) => Numeric.MixedTypes.Div.CanDiv GHC.Integer.Type.Integer (AERN2.Real.Type.CSequence a)
- AERN2.Real.Field: instance (Numeric.MixedTypes.Div.CanDiv GHC.Real.Rational a, Numeric.MixedTypes.Eq.CanTestZero a) => Numeric.MixedTypes.Div.CanDiv (Numeric.CollectErrors.Type.CN GHC.Real.Rational) (AERN2.Real.Type.CSequence a)
- AERN2.Real.Field: instance (Numeric.MixedTypes.Div.CanDiv GHC.Real.Rational a, Numeric.MixedTypes.Eq.CanTestZero a) => Numeric.MixedTypes.Div.CanDiv GHC.Real.Rational (AERN2.Real.Type.CSequence a)
- AERN2.Real.Field: instance (Numeric.MixedTypes.Div.CanDiv GHC.Types.Int a, Numeric.MixedTypes.Eq.CanTestZero a) => Numeric.MixedTypes.Div.CanDiv (Numeric.CollectErrors.Type.CN GHC.Types.Int) (AERN2.Real.Type.CSequence a)
- AERN2.Real.Field: instance (Numeric.MixedTypes.Div.CanDiv GHC.Types.Int a, Numeric.MixedTypes.Eq.CanTestZero a) => Numeric.MixedTypes.Div.CanDiv GHC.Types.Int (AERN2.Real.Type.CSequence a)
- AERN2.Real.Field: instance (Numeric.MixedTypes.Power.CanPow GHC.Integer.Type.Integer e, Numeric.MixedTypes.Ord.HasOrderCertainly e GHC.Integer.Type.Integer, Numeric.MixedTypes.Power.CanTestIsIntegerType e, Numeric.MixedTypes.Eq.CanTestInteger e) => Numeric.MixedTypes.Power.CanPow GHC.Integer.Type.Integer (AERN2.Real.Type.CSequence e)
- AERN2.Real.Field: instance (Numeric.MixedTypes.Power.CanPow GHC.Real.Rational e, Numeric.MixedTypes.Ord.HasOrderCertainly e GHC.Integer.Type.Integer, Numeric.MixedTypes.Power.CanTestIsIntegerType e, Numeric.MixedTypes.Eq.CanTestInteger e) => Numeric.MixedTypes.Power.CanPow GHC.Real.Rational (AERN2.Real.Type.CSequence e)
- AERN2.Real.Field: instance (Numeric.MixedTypes.Power.CanPow GHC.Types.Int e, Numeric.MixedTypes.Ord.HasOrderCertainly e GHC.Integer.Type.Integer, Numeric.MixedTypes.Power.CanTestIsIntegerType e, Numeric.MixedTypes.Eq.CanTestInteger e) => Numeric.MixedTypes.Power.CanPow GHC.Types.Int (AERN2.Real.Type.CSequence e)
- AERN2.Real.Field: instance (Numeric.MixedTypes.Power.CanPow b GHC.Integer.Type.Integer, Numeric.MixedTypes.Ord.HasOrderCertainly b GHC.Integer.Type.Integer, Numeric.MixedTypes.Eq.HasEqCertainly b GHC.Integer.Type.Integer, Numeric.MixedTypes.Power.CanTestIsIntegerType b) => Numeric.MixedTypes.Power.CanPow (AERN2.Real.Type.CSequence b) GHC.Integer.Type.Integer
- AERN2.Real.Field: instance (Numeric.MixedTypes.Power.CanPow b GHC.Real.Rational, Numeric.MixedTypes.Ord.HasOrderCertainly b GHC.Integer.Type.Integer, Numeric.MixedTypes.Eq.HasEqCertainly b GHC.Integer.Type.Integer, Numeric.MixedTypes.Power.CanTestIsIntegerType b) => Numeric.MixedTypes.Power.CanPow (AERN2.Real.Type.CSequence b) GHC.Real.Rational
- AERN2.Real.Field: instance (Numeric.MixedTypes.Power.CanPow b GHC.Types.Int, Numeric.MixedTypes.Ord.HasOrderCertainly b GHC.Integer.Type.Integer, Numeric.MixedTypes.Eq.HasEqCertainly b GHC.Integer.Type.Integer, Numeric.MixedTypes.Power.CanTestIsIntegerType b) => Numeric.MixedTypes.Power.CanPow (AERN2.Real.Type.CSequence b) GHC.Types.Int
- AERN2.Real.Field: instance (Numeric.MixedTypes.Ring.CanMulAsymmetric AERN2.MP.Ball.Type.MPBall b, Numeric.MixedTypes.Reduce.CanGiveUpIfVeryInaccurate (Numeric.MixedTypes.Ring.MulType AERN2.MP.Ball.Type.MPBall b)) => Numeric.MixedTypes.Ring.CanMulAsymmetric (Numeric.CollectErrors.Type.CN AERN2.MP.Ball.Type.MPBall) (AERN2.Real.Type.CSequence b)
- AERN2.Real.Field: instance (Numeric.MixedTypes.Ring.CanMulAsymmetric AERN2.MP.Dyadic.Dyadic a, Numeric.MixedTypes.Reduce.CanGiveUpIfVeryInaccurate (Numeric.MixedTypes.Ring.MulType AERN2.MP.Dyadic.Dyadic a)) => Numeric.MixedTypes.Ring.CanMulAsymmetric (Numeric.CollectErrors.Type.CN AERN2.MP.Dyadic.Dyadic) (AERN2.Real.Type.CSequence a)
- AERN2.Real.Field: instance (Numeric.MixedTypes.Ring.CanMulAsymmetric AERN2.MP.Dyadic.Dyadic a, Numeric.MixedTypes.Reduce.CanGiveUpIfVeryInaccurate (Numeric.MixedTypes.Ring.MulType AERN2.MP.Dyadic.Dyadic a)) => Numeric.MixedTypes.Ring.CanMulAsymmetric AERN2.MP.Dyadic.Dyadic (AERN2.Real.Type.CSequence a)
- AERN2.Real.Field: instance (Numeric.MixedTypes.Ring.CanMulAsymmetric GHC.Integer.Type.Integer a, Numeric.MixedTypes.Reduce.CanGiveUpIfVeryInaccurate (Numeric.MixedTypes.Ring.MulType GHC.Integer.Type.Integer a)) => Numeric.MixedTypes.Ring.CanMulAsymmetric (Numeric.CollectErrors.Type.CN GHC.Integer.Type.Integer) (AERN2.Real.Type.CSequence a)
- AERN2.Real.Field: instance (Numeric.MixedTypes.Ring.CanMulAsymmetric GHC.Integer.Type.Integer a, Numeric.MixedTypes.Reduce.CanGiveUpIfVeryInaccurate (Numeric.MixedTypes.Ring.MulType GHC.Integer.Type.Integer a)) => Numeric.MixedTypes.Ring.CanMulAsymmetric GHC.Integer.Type.Integer (AERN2.Real.Type.CSequence a)
- AERN2.Real.Field: instance (Numeric.MixedTypes.Ring.CanMulAsymmetric GHC.Real.Rational a, Numeric.MixedTypes.Reduce.CanGiveUpIfVeryInaccurate (Numeric.MixedTypes.Ring.MulType GHC.Real.Rational a)) => Numeric.MixedTypes.Ring.CanMulAsymmetric (Numeric.CollectErrors.Type.CN GHC.Real.Rational) (AERN2.Real.Type.CSequence a)
- AERN2.Real.Field: instance (Numeric.MixedTypes.Ring.CanMulAsymmetric GHC.Real.Rational a, Numeric.MixedTypes.Reduce.CanGiveUpIfVeryInaccurate (Numeric.MixedTypes.Ring.MulType GHC.Real.Rational a)) => Numeric.MixedTypes.Ring.CanMulAsymmetric GHC.Real.Rational (AERN2.Real.Type.CSequence a)
- AERN2.Real.Field: instance (Numeric.MixedTypes.Ring.CanMulAsymmetric GHC.Types.Int a, Numeric.MixedTypes.Reduce.CanGiveUpIfVeryInaccurate (Numeric.MixedTypes.Ring.MulType GHC.Types.Int a)) => Numeric.MixedTypes.Ring.CanMulAsymmetric (Numeric.CollectErrors.Type.CN GHC.Types.Int) (AERN2.Real.Type.CSequence a)
- AERN2.Real.Field: instance (Numeric.MixedTypes.Ring.CanMulAsymmetric GHC.Types.Int a, Numeric.MixedTypes.Reduce.CanGiveUpIfVeryInaccurate (Numeric.MixedTypes.Ring.MulType GHC.Types.Int a)) => Numeric.MixedTypes.Ring.CanMulAsymmetric GHC.Types.Int (AERN2.Real.Type.CSequence a)
- AERN2.Real.Field: instance (Numeric.MixedTypes.Ring.CanMulAsymmetric a AERN2.MP.Dyadic.Dyadic, Numeric.MixedTypes.Reduce.CanGiveUpIfVeryInaccurate (Numeric.MixedTypes.Ring.MulType a AERN2.MP.Dyadic.Dyadic)) => Numeric.MixedTypes.Ring.CanMulAsymmetric (AERN2.Real.Type.CSequence a) (Numeric.CollectErrors.Type.CN AERN2.MP.Dyadic.Dyadic)
- AERN2.Real.Field: instance (Numeric.MixedTypes.Ring.CanMulAsymmetric a AERN2.MP.Dyadic.Dyadic, Numeric.MixedTypes.Reduce.CanGiveUpIfVeryInaccurate (Numeric.MixedTypes.Ring.MulType a AERN2.MP.Dyadic.Dyadic)) => Numeric.MixedTypes.Ring.CanMulAsymmetric (AERN2.Real.Type.CSequence a) AERN2.MP.Dyadic.Dyadic
- AERN2.Real.Field: instance (Numeric.MixedTypes.Ring.CanMulAsymmetric a GHC.Integer.Type.Integer, Numeric.MixedTypes.Reduce.CanGiveUpIfVeryInaccurate (Numeric.MixedTypes.Ring.MulType a GHC.Integer.Type.Integer)) => Numeric.MixedTypes.Ring.CanMulAsymmetric (AERN2.Real.Type.CSequence a) (Numeric.CollectErrors.Type.CN GHC.Integer.Type.Integer)
- AERN2.Real.Field: instance (Numeric.MixedTypes.Ring.CanMulAsymmetric a GHC.Integer.Type.Integer, Numeric.MixedTypes.Reduce.CanGiveUpIfVeryInaccurate (Numeric.MixedTypes.Ring.MulType a GHC.Integer.Type.Integer)) => Numeric.MixedTypes.Ring.CanMulAsymmetric (AERN2.Real.Type.CSequence a) GHC.Integer.Type.Integer
- AERN2.Real.Field: instance (Numeric.MixedTypes.Ring.CanMulAsymmetric a GHC.Real.Rational, Numeric.MixedTypes.Reduce.CanGiveUpIfVeryInaccurate (Numeric.MixedTypes.Ring.MulType a GHC.Real.Rational)) => Numeric.MixedTypes.Ring.CanMulAsymmetric (AERN2.Real.Type.CSequence a) (Numeric.CollectErrors.Type.CN GHC.Real.Rational)
- AERN2.Real.Field: instance (Numeric.MixedTypes.Ring.CanMulAsymmetric a GHC.Real.Rational, Numeric.MixedTypes.Reduce.CanGiveUpIfVeryInaccurate (Numeric.MixedTypes.Ring.MulType a GHC.Real.Rational)) => Numeric.MixedTypes.Ring.CanMulAsymmetric (AERN2.Real.Type.CSequence a) GHC.Real.Rational
- AERN2.Real.Field: instance (Numeric.MixedTypes.Ring.CanMulAsymmetric a GHC.Types.Int, Numeric.MixedTypes.Reduce.CanGiveUpIfVeryInaccurate (Numeric.MixedTypes.Ring.MulType a GHC.Types.Int)) => Numeric.MixedTypes.Ring.CanMulAsymmetric (AERN2.Real.Type.CSequence a) (Numeric.CollectErrors.Type.CN GHC.Types.Int)
- AERN2.Real.Field: instance (Numeric.MixedTypes.Ring.CanMulAsymmetric a GHC.Types.Int, Numeric.MixedTypes.Reduce.CanGiveUpIfVeryInaccurate (Numeric.MixedTypes.Ring.MulType a GHC.Types.Int)) => Numeric.MixedTypes.Ring.CanMulAsymmetric (AERN2.Real.Type.CSequence a) GHC.Types.Int
- AERN2.Real.Field: instance (Numeric.MixedTypes.Ring.CanMulAsymmetric b AERN2.MP.Ball.Type.MPBall, Numeric.MixedTypes.Reduce.CanGiveUpIfVeryInaccurate (Numeric.MixedTypes.Ring.MulType b AERN2.MP.Ball.Type.MPBall)) => Numeric.MixedTypes.Ring.CanMulAsymmetric (AERN2.Real.Type.CSequence b) (Numeric.CollectErrors.Type.CN AERN2.MP.Ball.Type.MPBall)
- AERN2.Real.Field: instance (Numeric.MixedTypes.Ring.CanMulAsymmetric t1 t2, Numeric.MixedTypes.Reduce.CanGiveUpIfVeryInaccurate (Numeric.MixedTypes.Ring.MulType t1 t2)) => Numeric.MixedTypes.Ring.CanMulAsymmetric (AERN2.Real.Type.CSequence t1) (AERN2.Real.Type.CSequence t2)
- AERN2.Real.Field: instance Numeric.MixedTypes.AddSub.CanAddAsymmetric AERN2.MP.Dyadic.Dyadic a => Numeric.MixedTypes.AddSub.CanAddAsymmetric (Numeric.CollectErrors.Type.CN AERN2.MP.Dyadic.Dyadic) (AERN2.Real.Type.CSequence a)
- AERN2.Real.Field: instance Numeric.MixedTypes.AddSub.CanAddAsymmetric AERN2.MP.Dyadic.Dyadic a => Numeric.MixedTypes.AddSub.CanAddAsymmetric AERN2.MP.Dyadic.Dyadic (AERN2.Real.Type.CSequence a)
- AERN2.Real.Field: instance Numeric.MixedTypes.AddSub.CanAddAsymmetric GHC.Integer.Type.Integer a => Numeric.MixedTypes.AddSub.CanAddAsymmetric (Numeric.CollectErrors.Type.CN GHC.Integer.Type.Integer) (AERN2.Real.Type.CSequence a)
- AERN2.Real.Field: instance Numeric.MixedTypes.AddSub.CanAddAsymmetric GHC.Integer.Type.Integer a => Numeric.MixedTypes.AddSub.CanAddAsymmetric GHC.Integer.Type.Integer (AERN2.Real.Type.CSequence a)
- AERN2.Real.Field: instance Numeric.MixedTypes.AddSub.CanAddAsymmetric GHC.Real.Rational a => Numeric.MixedTypes.AddSub.CanAddAsymmetric (Numeric.CollectErrors.Type.CN GHC.Real.Rational) (AERN2.Real.Type.CSequence a)
- AERN2.Real.Field: instance Numeric.MixedTypes.AddSub.CanAddAsymmetric GHC.Real.Rational a => Numeric.MixedTypes.AddSub.CanAddAsymmetric GHC.Real.Rational (AERN2.Real.Type.CSequence a)
- AERN2.Real.Field: instance Numeric.MixedTypes.AddSub.CanAddAsymmetric GHC.Types.Int a => Numeric.MixedTypes.AddSub.CanAddAsymmetric (Numeric.CollectErrors.Type.CN GHC.Types.Int) (AERN2.Real.Type.CSequence a)
- AERN2.Real.Field: instance Numeric.MixedTypes.AddSub.CanAddAsymmetric GHC.Types.Int a => Numeric.MixedTypes.AddSub.CanAddAsymmetric GHC.Types.Int (AERN2.Real.Type.CSequence a)
- AERN2.Real.Field: instance Numeric.MixedTypes.AddSub.CanAddAsymmetric a AERN2.MP.Dyadic.Dyadic => Numeric.MixedTypes.AddSub.CanAddAsymmetric (AERN2.Real.Type.CSequence a) (Numeric.CollectErrors.Type.CN AERN2.MP.Dyadic.Dyadic)
- AERN2.Real.Field: instance Numeric.MixedTypes.AddSub.CanAddAsymmetric a AERN2.MP.Dyadic.Dyadic => Numeric.MixedTypes.AddSub.CanAddAsymmetric (AERN2.Real.Type.CSequence a) AERN2.MP.Dyadic.Dyadic
- AERN2.Real.Field: instance Numeric.MixedTypes.AddSub.CanAddAsymmetric a GHC.Integer.Type.Integer => Numeric.MixedTypes.AddSub.CanAddAsymmetric (AERN2.Real.Type.CSequence a) (Numeric.CollectErrors.Type.CN GHC.Integer.Type.Integer)
- AERN2.Real.Field: instance Numeric.MixedTypes.AddSub.CanAddAsymmetric a GHC.Integer.Type.Integer => Numeric.MixedTypes.AddSub.CanAddAsymmetric (AERN2.Real.Type.CSequence a) GHC.Integer.Type.Integer
- AERN2.Real.Field: instance Numeric.MixedTypes.AddSub.CanAddAsymmetric a GHC.Real.Rational => Numeric.MixedTypes.AddSub.CanAddAsymmetric (AERN2.Real.Type.CSequence a) (Numeric.CollectErrors.Type.CN GHC.Real.Rational)
- AERN2.Real.Field: instance Numeric.MixedTypes.AddSub.CanAddAsymmetric a GHC.Real.Rational => Numeric.MixedTypes.AddSub.CanAddAsymmetric (AERN2.Real.Type.CSequence a) GHC.Real.Rational
- AERN2.Real.Field: instance Numeric.MixedTypes.AddSub.CanAddAsymmetric a GHC.Types.Int => Numeric.MixedTypes.AddSub.CanAddAsymmetric (AERN2.Real.Type.CSequence a) (Numeric.CollectErrors.Type.CN GHC.Types.Int)
- AERN2.Real.Field: instance Numeric.MixedTypes.AddSub.CanAddAsymmetric a GHC.Types.Int => Numeric.MixedTypes.AddSub.CanAddAsymmetric (AERN2.Real.Type.CSequence a) GHC.Types.Int
- AERN2.Real.Field: instance Numeric.MixedTypes.AddSub.CanSub AERN2.MP.Dyadic.Dyadic a => Numeric.MixedTypes.AddSub.CanSub (Numeric.CollectErrors.Type.CN AERN2.MP.Dyadic.Dyadic) (AERN2.Real.Type.CSequence a)
- AERN2.Real.Field: instance Numeric.MixedTypes.AddSub.CanSub AERN2.MP.Dyadic.Dyadic a => Numeric.MixedTypes.AddSub.CanSub AERN2.MP.Dyadic.Dyadic (AERN2.Real.Type.CSequence a)
- AERN2.Real.Field: instance Numeric.MixedTypes.AddSub.CanSub GHC.Integer.Type.Integer a => Numeric.MixedTypes.AddSub.CanSub (Numeric.CollectErrors.Type.CN GHC.Integer.Type.Integer) (AERN2.Real.Type.CSequence a)
- AERN2.Real.Field: instance Numeric.MixedTypes.AddSub.CanSub GHC.Integer.Type.Integer a => Numeric.MixedTypes.AddSub.CanSub GHC.Integer.Type.Integer (AERN2.Real.Type.CSequence a)
- AERN2.Real.Field: instance Numeric.MixedTypes.AddSub.CanSub GHC.Real.Rational a => Numeric.MixedTypes.AddSub.CanSub (Numeric.CollectErrors.Type.CN GHC.Real.Rational) (AERN2.Real.Type.CSequence a)
- AERN2.Real.Field: instance Numeric.MixedTypes.AddSub.CanSub GHC.Real.Rational a => Numeric.MixedTypes.AddSub.CanSub GHC.Real.Rational (AERN2.Real.Type.CSequence a)
- AERN2.Real.Field: instance Numeric.MixedTypes.AddSub.CanSub GHC.Types.Int a => Numeric.MixedTypes.AddSub.CanSub (Numeric.CollectErrors.Type.CN GHC.Types.Int) (AERN2.Real.Type.CSequence a)
- AERN2.Real.Field: instance Numeric.MixedTypes.AddSub.CanSub GHC.Types.Int a => Numeric.MixedTypes.AddSub.CanSub GHC.Types.Int (AERN2.Real.Type.CSequence a)
- AERN2.Real.Field: instance Numeric.MixedTypes.AddSub.CanSub a AERN2.MP.Dyadic.Dyadic => Numeric.MixedTypes.AddSub.CanSub (AERN2.Real.Type.CSequence a) (Numeric.CollectErrors.Type.CN AERN2.MP.Dyadic.Dyadic)
- AERN2.Real.Field: instance Numeric.MixedTypes.AddSub.CanSub a AERN2.MP.Dyadic.Dyadic => Numeric.MixedTypes.AddSub.CanSub (AERN2.Real.Type.CSequence a) AERN2.MP.Dyadic.Dyadic
- AERN2.Real.Field: instance Numeric.MixedTypes.AddSub.CanSub a GHC.Integer.Type.Integer => Numeric.MixedTypes.AddSub.CanSub (AERN2.Real.Type.CSequence a) (Numeric.CollectErrors.Type.CN GHC.Integer.Type.Integer)
- AERN2.Real.Field: instance Numeric.MixedTypes.AddSub.CanSub a GHC.Integer.Type.Integer => Numeric.MixedTypes.AddSub.CanSub (AERN2.Real.Type.CSequence a) GHC.Integer.Type.Integer
- AERN2.Real.Field: instance Numeric.MixedTypes.AddSub.CanSub a GHC.Real.Rational => Numeric.MixedTypes.AddSub.CanSub (AERN2.Real.Type.CSequence a) (Numeric.CollectErrors.Type.CN GHC.Real.Rational)
- AERN2.Real.Field: instance Numeric.MixedTypes.AddSub.CanSub a GHC.Real.Rational => Numeric.MixedTypes.AddSub.CanSub (AERN2.Real.Type.CSequence a) GHC.Real.Rational
- AERN2.Real.Field: instance Numeric.MixedTypes.AddSub.CanSub a GHC.Types.Int => Numeric.MixedTypes.AddSub.CanSub (AERN2.Real.Type.CSequence a) (Numeric.CollectErrors.Type.CN GHC.Types.Int)
- AERN2.Real.Field: instance Numeric.MixedTypes.AddSub.CanSub a GHC.Types.Int => Numeric.MixedTypes.AddSub.CanSub (AERN2.Real.Type.CSequence a) GHC.Types.Int
- AERN2.Real.Field: instance Numeric.MixedTypes.Div.CanDiv a AERN2.MP.Dyadic.Dyadic => Numeric.MixedTypes.Div.CanDiv (AERN2.Real.Type.CSequence a) (Numeric.CollectErrors.Type.CN AERN2.MP.Dyadic.Dyadic)
- AERN2.Real.Field: instance Numeric.MixedTypes.Div.CanDiv a AERN2.MP.Dyadic.Dyadic => Numeric.MixedTypes.Div.CanDiv (AERN2.Real.Type.CSequence a) AERN2.MP.Dyadic.Dyadic
- AERN2.Real.Field: instance Numeric.MixedTypes.Div.CanDiv a GHC.Integer.Type.Integer => Numeric.MixedTypes.Div.CanDiv (AERN2.Real.Type.CSequence a) (Numeric.CollectErrors.Type.CN GHC.Integer.Type.Integer)
- AERN2.Real.Field: instance Numeric.MixedTypes.Div.CanDiv a GHC.Integer.Type.Integer => Numeric.MixedTypes.Div.CanDiv (AERN2.Real.Type.CSequence a) GHC.Integer.Type.Integer
- AERN2.Real.Field: instance Numeric.MixedTypes.Div.CanDiv a GHC.Real.Rational => Numeric.MixedTypes.Div.CanDiv (AERN2.Real.Type.CSequence a) (Numeric.CollectErrors.Type.CN GHC.Real.Rational)
- AERN2.Real.Field: instance Numeric.MixedTypes.Div.CanDiv a GHC.Real.Rational => Numeric.MixedTypes.Div.CanDiv (AERN2.Real.Type.CSequence a) GHC.Real.Rational
- AERN2.Real.Field: instance Numeric.MixedTypes.Div.CanDiv a GHC.Types.Int => Numeric.MixedTypes.Div.CanDiv (AERN2.Real.Type.CSequence a) (Numeric.CollectErrors.Type.CN GHC.Types.Int)
- AERN2.Real.Field: instance Numeric.MixedTypes.Div.CanDiv a GHC.Types.Int => Numeric.MixedTypes.Div.CanDiv (AERN2.Real.Type.CSequence a) GHC.Types.Int
- AERN2.Real.Field: instance Numeric.MixedTypes.Ring.CanMulAsymmetric AERN2.MP.Ball.Type.MPBall b => Numeric.MixedTypes.Ring.CanMulAsymmetric AERN2.MP.Ball.Type.MPBall (AERN2.Real.Type.CSequence b)
- AERN2.Real.Field: instance Numeric.MixedTypes.Ring.CanMulAsymmetric b AERN2.MP.Ball.Type.MPBall => Numeric.MixedTypes.Ring.CanMulAsymmetric (AERN2.Real.Type.CSequence b) AERN2.MP.Ball.Type.MPBall
+ AERN2.Real.Field: instance (Numeric.MixedTypes.Mul.CanMulAsymmetric AERN2.MP.Ball.Type.MPBall b, Numeric.MixedTypes.Reduce.CanGiveUpIfVeryInaccurate (Numeric.MixedTypes.Mul.MulType AERN2.MP.Ball.Type.MPBall b)) => Numeric.MixedTypes.Mul.CanMulAsymmetric (Numeric.CollectErrors.Type.CN AERN2.MP.Ball.Type.MPBall) (AERN2.Real.Type.CSequence b)
+ AERN2.Real.Field: instance (Numeric.MixedTypes.Mul.CanMulAsymmetric b AERN2.MP.Ball.Type.MPBall, Numeric.MixedTypes.Reduce.CanGiveUpIfVeryInaccurate (Numeric.MixedTypes.Mul.MulType b AERN2.MP.Ball.Type.MPBall)) => Numeric.MixedTypes.Mul.CanMulAsymmetric (AERN2.Real.Type.CSequence b) (Numeric.CollectErrors.Type.CN AERN2.MP.Ball.Type.MPBall)
+ AERN2.Real.Field: instance (Numeric.MixedTypes.Mul.CanMulAsymmetric t1 t2, Numeric.MixedTypes.Reduce.CanGiveUpIfVeryInaccurate (Numeric.MixedTypes.Mul.MulType t1 t2)) => Numeric.MixedTypes.Mul.CanMulAsymmetric (AERN2.Real.Type.CSequence t1) (AERN2.Real.Type.CSequence t2)
+ AERN2.Real.Field: instance Numeric.MixedTypes.Mul.CanMulAsymmetric AERN2.MP.Ball.Type.MPBall b => Numeric.MixedTypes.Mul.CanMulAsymmetric AERN2.MP.Ball.Type.MPBall (AERN2.Real.Type.CSequence b)
+ AERN2.Real.Field: instance Numeric.MixedTypes.Mul.CanMulAsymmetric b AERN2.MP.Ball.Type.MPBall => Numeric.MixedTypes.Mul.CanMulAsymmetric (AERN2.Real.Type.CSequence b) AERN2.MP.Ball.Type.MPBall
+ AERN2.Real.FieldTH: instance (Numeric.MixedTypes.Div.CanDiv AERN2.MP.Dyadic.Dyadic a, Numeric.MixedTypes.Eq.CanTestZero a) => Numeric.MixedTypes.Div.CanDiv (Numeric.CollectErrors.Type.CN AERN2.MP.Dyadic.Dyadic) (AERN2.Real.Type.CSequence a)
+ AERN2.Real.FieldTH: instance (Numeric.MixedTypes.Div.CanDiv AERN2.MP.Dyadic.Dyadic a, Numeric.MixedTypes.Eq.CanTestZero a) => Numeric.MixedTypes.Div.CanDiv AERN2.MP.Dyadic.Dyadic (AERN2.Real.Type.CSequence a)
+ AERN2.Real.FieldTH: instance (Numeric.MixedTypes.Div.CanDiv GHC.Integer.Type.Integer a, Numeric.MixedTypes.Eq.CanTestZero a) => Numeric.MixedTypes.Div.CanDiv (Numeric.CollectErrors.Type.CN GHC.Integer.Type.Integer) (AERN2.Real.Type.CSequence a)
+ AERN2.Real.FieldTH: instance (Numeric.MixedTypes.Div.CanDiv GHC.Integer.Type.Integer a, Numeric.MixedTypes.Eq.CanTestZero a) => Numeric.MixedTypes.Div.CanDiv GHC.Integer.Type.Integer (AERN2.Real.Type.CSequence a)
+ AERN2.Real.FieldTH: instance (Numeric.MixedTypes.Div.CanDiv GHC.Real.Rational a, Numeric.MixedTypes.Eq.CanTestZero a) => Numeric.MixedTypes.Div.CanDiv (Numeric.CollectErrors.Type.CN GHC.Real.Rational) (AERN2.Real.Type.CSequence a)
+ AERN2.Real.FieldTH: instance (Numeric.MixedTypes.Div.CanDiv GHC.Real.Rational a, Numeric.MixedTypes.Eq.CanTestZero a) => Numeric.MixedTypes.Div.CanDiv GHC.Real.Rational (AERN2.Real.Type.CSequence a)
+ AERN2.Real.FieldTH: instance (Numeric.MixedTypes.Div.CanDiv GHC.Types.Int a, Numeric.MixedTypes.Eq.CanTestZero a) => Numeric.MixedTypes.Div.CanDiv (Numeric.CollectErrors.Type.CN GHC.Types.Int) (AERN2.Real.Type.CSequence a)
+ AERN2.Real.FieldTH: instance (Numeric.MixedTypes.Div.CanDiv GHC.Types.Int a, Numeric.MixedTypes.Eq.CanTestZero a) => Numeric.MixedTypes.Div.CanDiv GHC.Types.Int (AERN2.Real.Type.CSequence a)
+ AERN2.Real.FieldTH: instance (Numeric.MixedTypes.Mul.CanMulAsymmetric AERN2.MP.Dyadic.Dyadic a, Numeric.MixedTypes.Reduce.CanGiveUpIfVeryInaccurate (Numeric.MixedTypes.Mul.MulType AERN2.MP.Dyadic.Dyadic a)) => Numeric.MixedTypes.Mul.CanMulAsymmetric (Numeric.CollectErrors.Type.CN AERN2.MP.Dyadic.Dyadic) (AERN2.Real.Type.CSequence a)
+ AERN2.Real.FieldTH: instance (Numeric.MixedTypes.Mul.CanMulAsymmetric AERN2.MP.Dyadic.Dyadic a, Numeric.MixedTypes.Reduce.CanGiveUpIfVeryInaccurate (Numeric.MixedTypes.Mul.MulType AERN2.MP.Dyadic.Dyadic a)) => Numeric.MixedTypes.Mul.CanMulAsymmetric AERN2.MP.Dyadic.Dyadic (AERN2.Real.Type.CSequence a)
+ AERN2.Real.FieldTH: instance (Numeric.MixedTypes.Mul.CanMulAsymmetric GHC.Integer.Type.Integer a, Numeric.MixedTypes.Reduce.CanGiveUpIfVeryInaccurate (Numeric.MixedTypes.Mul.MulType GHC.Integer.Type.Integer a)) => Numeric.MixedTypes.Mul.CanMulAsymmetric (Numeric.CollectErrors.Type.CN GHC.Integer.Type.Integer) (AERN2.Real.Type.CSequence a)
+ AERN2.Real.FieldTH: instance (Numeric.MixedTypes.Mul.CanMulAsymmetric GHC.Integer.Type.Integer a, Numeric.MixedTypes.Reduce.CanGiveUpIfVeryInaccurate (Numeric.MixedTypes.Mul.MulType GHC.Integer.Type.Integer a)) => Numeric.MixedTypes.Mul.CanMulAsymmetric GHC.Integer.Type.Integer (AERN2.Real.Type.CSequence a)
+ AERN2.Real.FieldTH: instance (Numeric.MixedTypes.Mul.CanMulAsymmetric GHC.Real.Rational a, Numeric.MixedTypes.Reduce.CanGiveUpIfVeryInaccurate (Numeric.MixedTypes.Mul.MulType GHC.Real.Rational a)) => Numeric.MixedTypes.Mul.CanMulAsymmetric (Numeric.CollectErrors.Type.CN GHC.Real.Rational) (AERN2.Real.Type.CSequence a)
+ AERN2.Real.FieldTH: instance (Numeric.MixedTypes.Mul.CanMulAsymmetric GHC.Real.Rational a, Numeric.MixedTypes.Reduce.CanGiveUpIfVeryInaccurate (Numeric.MixedTypes.Mul.MulType GHC.Real.Rational a)) => Numeric.MixedTypes.Mul.CanMulAsymmetric GHC.Real.Rational (AERN2.Real.Type.CSequence a)
+ AERN2.Real.FieldTH: instance (Numeric.MixedTypes.Mul.CanMulAsymmetric GHC.Types.Int a, Numeric.MixedTypes.Reduce.CanGiveUpIfVeryInaccurate (Numeric.MixedTypes.Mul.MulType GHC.Types.Int a)) => Numeric.MixedTypes.Mul.CanMulAsymmetric (Numeric.CollectErrors.Type.CN GHC.Types.Int) (AERN2.Real.Type.CSequence a)
+ AERN2.Real.FieldTH: instance (Numeric.MixedTypes.Mul.CanMulAsymmetric GHC.Types.Int a, Numeric.MixedTypes.Reduce.CanGiveUpIfVeryInaccurate (Numeric.MixedTypes.Mul.MulType GHC.Types.Int a)) => Numeric.MixedTypes.Mul.CanMulAsymmetric GHC.Types.Int (AERN2.Real.Type.CSequence a)
+ AERN2.Real.FieldTH: instance (Numeric.MixedTypes.Mul.CanMulAsymmetric a AERN2.MP.Dyadic.Dyadic, Numeric.MixedTypes.Reduce.CanGiveUpIfVeryInaccurate (Numeric.MixedTypes.Mul.MulType a AERN2.MP.Dyadic.Dyadic)) => Numeric.MixedTypes.Mul.CanMulAsymmetric (AERN2.Real.Type.CSequence a) (Numeric.CollectErrors.Type.CN AERN2.MP.Dyadic.Dyadic)
+ AERN2.Real.FieldTH: instance (Numeric.MixedTypes.Mul.CanMulAsymmetric a AERN2.MP.Dyadic.Dyadic, Numeric.MixedTypes.Reduce.CanGiveUpIfVeryInaccurate (Numeric.MixedTypes.Mul.MulType a AERN2.MP.Dyadic.Dyadic)) => Numeric.MixedTypes.Mul.CanMulAsymmetric (AERN2.Real.Type.CSequence a) AERN2.MP.Dyadic.Dyadic
+ AERN2.Real.FieldTH: instance (Numeric.MixedTypes.Mul.CanMulAsymmetric a GHC.Integer.Type.Integer, Numeric.MixedTypes.Reduce.CanGiveUpIfVeryInaccurate (Numeric.MixedTypes.Mul.MulType a GHC.Integer.Type.Integer)) => Numeric.MixedTypes.Mul.CanMulAsymmetric (AERN2.Real.Type.CSequence a) (Numeric.CollectErrors.Type.CN GHC.Integer.Type.Integer)
+ AERN2.Real.FieldTH: instance (Numeric.MixedTypes.Mul.CanMulAsymmetric a GHC.Integer.Type.Integer, Numeric.MixedTypes.Reduce.CanGiveUpIfVeryInaccurate (Numeric.MixedTypes.Mul.MulType a GHC.Integer.Type.Integer)) => Numeric.MixedTypes.Mul.CanMulAsymmetric (AERN2.Real.Type.CSequence a) GHC.Integer.Type.Integer
+ AERN2.Real.FieldTH: instance (Numeric.MixedTypes.Mul.CanMulAsymmetric a GHC.Real.Rational, Numeric.MixedTypes.Reduce.CanGiveUpIfVeryInaccurate (Numeric.MixedTypes.Mul.MulType a GHC.Real.Rational)) => Numeric.MixedTypes.Mul.CanMulAsymmetric (AERN2.Real.Type.CSequence a) (Numeric.CollectErrors.Type.CN GHC.Real.Rational)
+ AERN2.Real.FieldTH: instance (Numeric.MixedTypes.Mul.CanMulAsymmetric a GHC.Real.Rational, Numeric.MixedTypes.Reduce.CanGiveUpIfVeryInaccurate (Numeric.MixedTypes.Mul.MulType a GHC.Real.Rational)) => Numeric.MixedTypes.Mul.CanMulAsymmetric (AERN2.Real.Type.CSequence a) GHC.Real.Rational
+ AERN2.Real.FieldTH: instance (Numeric.MixedTypes.Mul.CanMulAsymmetric a GHC.Types.Int, Numeric.MixedTypes.Reduce.CanGiveUpIfVeryInaccurate (Numeric.MixedTypes.Mul.MulType a GHC.Types.Int)) => Numeric.MixedTypes.Mul.CanMulAsymmetric (AERN2.Real.Type.CSequence a) (Numeric.CollectErrors.Type.CN GHC.Types.Int)
+ AERN2.Real.FieldTH: instance (Numeric.MixedTypes.Mul.CanMulAsymmetric a GHC.Types.Int, Numeric.MixedTypes.Reduce.CanGiveUpIfVeryInaccurate (Numeric.MixedTypes.Mul.MulType a GHC.Types.Int)) => Numeric.MixedTypes.Mul.CanMulAsymmetric (AERN2.Real.Type.CSequence a) GHC.Types.Int
+ AERN2.Real.FieldTH: instance (Numeric.MixedTypes.Power.CanPow GHC.Integer.Type.Integer e, Numeric.MixedTypes.Ord.HasOrderCertainly e GHC.Integer.Type.Integer, Numeric.MixedTypes.Power.CanTestIsIntegerType e, Numeric.MixedTypes.Eq.CanTestInteger e) => Numeric.MixedTypes.Power.CanPow GHC.Integer.Type.Integer (AERN2.Real.Type.CSequence e)
+ AERN2.Real.FieldTH: instance (Numeric.MixedTypes.Power.CanPow GHC.Real.Rational e, Numeric.MixedTypes.Ord.HasOrderCertainly e GHC.Integer.Type.Integer, Numeric.MixedTypes.Power.CanTestIsIntegerType e, Numeric.MixedTypes.Eq.CanTestInteger e) => Numeric.MixedTypes.Power.CanPow GHC.Real.Rational (AERN2.Real.Type.CSequence e)
+ AERN2.Real.FieldTH: instance (Numeric.MixedTypes.Power.CanPow GHC.Types.Int e, Numeric.MixedTypes.Ord.HasOrderCertainly e GHC.Integer.Type.Integer, Numeric.MixedTypes.Power.CanTestIsIntegerType e, Numeric.MixedTypes.Eq.CanTestInteger e) => Numeric.MixedTypes.Power.CanPow GHC.Types.Int (AERN2.Real.Type.CSequence e)
+ AERN2.Real.FieldTH: instance (Numeric.MixedTypes.Power.CanPow b GHC.Integer.Type.Integer, Numeric.MixedTypes.Ord.HasOrderCertainly b GHC.Integer.Type.Integer, Numeric.MixedTypes.Eq.HasEqCertainly b GHC.Integer.Type.Integer, Numeric.MixedTypes.Power.CanTestIsIntegerType b) => Numeric.MixedTypes.Power.CanPow (AERN2.Real.Type.CSequence b) GHC.Integer.Type.Integer
+ AERN2.Real.FieldTH: instance (Numeric.MixedTypes.Power.CanPow b GHC.Real.Rational, Numeric.MixedTypes.Ord.HasOrderCertainly b GHC.Integer.Type.Integer, Numeric.MixedTypes.Eq.HasEqCertainly b GHC.Integer.Type.Integer, Numeric.MixedTypes.Power.CanTestIsIntegerType b) => Numeric.MixedTypes.Power.CanPow (AERN2.Real.Type.CSequence b) GHC.Real.Rational
+ AERN2.Real.FieldTH: instance (Numeric.MixedTypes.Power.CanPow b GHC.Types.Int, Numeric.MixedTypes.Ord.HasOrderCertainly b GHC.Integer.Type.Integer, Numeric.MixedTypes.Eq.HasEqCertainly b GHC.Integer.Type.Integer, Numeric.MixedTypes.Power.CanTestIsIntegerType b) => Numeric.MixedTypes.Power.CanPow (AERN2.Real.Type.CSequence b) GHC.Types.Int
+ AERN2.Real.FieldTH: instance Numeric.MixedTypes.AddSub.CanAddAsymmetric AERN2.MP.Dyadic.Dyadic a => Numeric.MixedTypes.AddSub.CanAddAsymmetric (Numeric.CollectErrors.Type.CN AERN2.MP.Dyadic.Dyadic) (AERN2.Real.Type.CSequence a)
+ AERN2.Real.FieldTH: instance Numeric.MixedTypes.AddSub.CanAddAsymmetric AERN2.MP.Dyadic.Dyadic a => Numeric.MixedTypes.AddSub.CanAddAsymmetric AERN2.MP.Dyadic.Dyadic (AERN2.Real.Type.CSequence a)
+ AERN2.Real.FieldTH: instance Numeric.MixedTypes.AddSub.CanAddAsymmetric GHC.Integer.Type.Integer a => Numeric.MixedTypes.AddSub.CanAddAsymmetric (Numeric.CollectErrors.Type.CN GHC.Integer.Type.Integer) (AERN2.Real.Type.CSequence a)
+ AERN2.Real.FieldTH: instance Numeric.MixedTypes.AddSub.CanAddAsymmetric GHC.Integer.Type.Integer a => Numeric.MixedTypes.AddSub.CanAddAsymmetric GHC.Integer.Type.Integer (AERN2.Real.Type.CSequence a)
+ AERN2.Real.FieldTH: instance Numeric.MixedTypes.AddSub.CanAddAsymmetric GHC.Real.Rational a => Numeric.MixedTypes.AddSub.CanAddAsymmetric (Numeric.CollectErrors.Type.CN GHC.Real.Rational) (AERN2.Real.Type.CSequence a)
+ AERN2.Real.FieldTH: instance Numeric.MixedTypes.AddSub.CanAddAsymmetric GHC.Real.Rational a => Numeric.MixedTypes.AddSub.CanAddAsymmetric GHC.Real.Rational (AERN2.Real.Type.CSequence a)
+ AERN2.Real.FieldTH: instance Numeric.MixedTypes.AddSub.CanAddAsymmetric GHC.Types.Int a => Numeric.MixedTypes.AddSub.CanAddAsymmetric (Numeric.CollectErrors.Type.CN GHC.Types.Int) (AERN2.Real.Type.CSequence a)
+ AERN2.Real.FieldTH: instance Numeric.MixedTypes.AddSub.CanAddAsymmetric GHC.Types.Int a => Numeric.MixedTypes.AddSub.CanAddAsymmetric GHC.Types.Int (AERN2.Real.Type.CSequence a)
+ AERN2.Real.FieldTH: instance Numeric.MixedTypes.AddSub.CanAddAsymmetric a AERN2.MP.Dyadic.Dyadic => Numeric.MixedTypes.AddSub.CanAddAsymmetric (AERN2.Real.Type.CSequence a) (Numeric.CollectErrors.Type.CN AERN2.MP.Dyadic.Dyadic)
+ AERN2.Real.FieldTH: instance Numeric.MixedTypes.AddSub.CanAddAsymmetric a AERN2.MP.Dyadic.Dyadic => Numeric.MixedTypes.AddSub.CanAddAsymmetric (AERN2.Real.Type.CSequence a) AERN2.MP.Dyadic.Dyadic
+ AERN2.Real.FieldTH: instance Numeric.MixedTypes.AddSub.CanAddAsymmetric a GHC.Integer.Type.Integer => Numeric.MixedTypes.AddSub.CanAddAsymmetric (AERN2.Real.Type.CSequence a) (Numeric.CollectErrors.Type.CN GHC.Integer.Type.Integer)
+ AERN2.Real.FieldTH: instance Numeric.MixedTypes.AddSub.CanAddAsymmetric a GHC.Integer.Type.Integer => Numeric.MixedTypes.AddSub.CanAddAsymmetric (AERN2.Real.Type.CSequence a) GHC.Integer.Type.Integer
+ AERN2.Real.FieldTH: instance Numeric.MixedTypes.AddSub.CanAddAsymmetric a GHC.Real.Rational => Numeric.MixedTypes.AddSub.CanAddAsymmetric (AERN2.Real.Type.CSequence a) (Numeric.CollectErrors.Type.CN GHC.Real.Rational)
+ AERN2.Real.FieldTH: instance Numeric.MixedTypes.AddSub.CanAddAsymmetric a GHC.Real.Rational => Numeric.MixedTypes.AddSub.CanAddAsymmetric (AERN2.Real.Type.CSequence a) GHC.Real.Rational
+ AERN2.Real.FieldTH: instance Numeric.MixedTypes.AddSub.CanAddAsymmetric a GHC.Types.Int => Numeric.MixedTypes.AddSub.CanAddAsymmetric (AERN2.Real.Type.CSequence a) (Numeric.CollectErrors.Type.CN GHC.Types.Int)
+ AERN2.Real.FieldTH: instance Numeric.MixedTypes.AddSub.CanAddAsymmetric a GHC.Types.Int => Numeric.MixedTypes.AddSub.CanAddAsymmetric (AERN2.Real.Type.CSequence a) GHC.Types.Int
+ AERN2.Real.FieldTH: instance Numeric.MixedTypes.AddSub.CanSub AERN2.MP.Dyadic.Dyadic a => Numeric.MixedTypes.AddSub.CanSub (Numeric.CollectErrors.Type.CN AERN2.MP.Dyadic.Dyadic) (AERN2.Real.Type.CSequence a)
+ AERN2.Real.FieldTH: instance Numeric.MixedTypes.AddSub.CanSub AERN2.MP.Dyadic.Dyadic a => Numeric.MixedTypes.AddSub.CanSub AERN2.MP.Dyadic.Dyadic (AERN2.Real.Type.CSequence a)
+ AERN2.Real.FieldTH: instance Numeric.MixedTypes.AddSub.CanSub GHC.Integer.Type.Integer a => Numeric.MixedTypes.AddSub.CanSub (Numeric.CollectErrors.Type.CN GHC.Integer.Type.Integer) (AERN2.Real.Type.CSequence a)
+ AERN2.Real.FieldTH: instance Numeric.MixedTypes.AddSub.CanSub GHC.Integer.Type.Integer a => Numeric.MixedTypes.AddSub.CanSub GHC.Integer.Type.Integer (AERN2.Real.Type.CSequence a)
+ AERN2.Real.FieldTH: instance Numeric.MixedTypes.AddSub.CanSub GHC.Real.Rational a => Numeric.MixedTypes.AddSub.CanSub (Numeric.CollectErrors.Type.CN GHC.Real.Rational) (AERN2.Real.Type.CSequence a)
+ AERN2.Real.FieldTH: instance Numeric.MixedTypes.AddSub.CanSub GHC.Real.Rational a => Numeric.MixedTypes.AddSub.CanSub GHC.Real.Rational (AERN2.Real.Type.CSequence a)
+ AERN2.Real.FieldTH: instance Numeric.MixedTypes.AddSub.CanSub GHC.Types.Int a => Numeric.MixedTypes.AddSub.CanSub (Numeric.CollectErrors.Type.CN GHC.Types.Int) (AERN2.Real.Type.CSequence a)
+ AERN2.Real.FieldTH: instance Numeric.MixedTypes.AddSub.CanSub GHC.Types.Int a => Numeric.MixedTypes.AddSub.CanSub GHC.Types.Int (AERN2.Real.Type.CSequence a)
+ AERN2.Real.FieldTH: instance Numeric.MixedTypes.AddSub.CanSub a AERN2.MP.Dyadic.Dyadic => Numeric.MixedTypes.AddSub.CanSub (AERN2.Real.Type.CSequence a) (Numeric.CollectErrors.Type.CN AERN2.MP.Dyadic.Dyadic)
+ AERN2.Real.FieldTH: instance Numeric.MixedTypes.AddSub.CanSub a AERN2.MP.Dyadic.Dyadic => Numeric.MixedTypes.AddSub.CanSub (AERN2.Real.Type.CSequence a) AERN2.MP.Dyadic.Dyadic
+ AERN2.Real.FieldTH: instance Numeric.MixedTypes.AddSub.CanSub a GHC.Integer.Type.Integer => Numeric.MixedTypes.AddSub.CanSub (AERN2.Real.Type.CSequence a) (Numeric.CollectErrors.Type.CN GHC.Integer.Type.Integer)
+ AERN2.Real.FieldTH: instance Numeric.MixedTypes.AddSub.CanSub a GHC.Integer.Type.Integer => Numeric.MixedTypes.AddSub.CanSub (AERN2.Real.Type.CSequence a) GHC.Integer.Type.Integer
+ AERN2.Real.FieldTH: instance Numeric.MixedTypes.AddSub.CanSub a GHC.Real.Rational => Numeric.MixedTypes.AddSub.CanSub (AERN2.Real.Type.CSequence a) (Numeric.CollectErrors.Type.CN GHC.Real.Rational)
+ AERN2.Real.FieldTH: instance Numeric.MixedTypes.AddSub.CanSub a GHC.Real.Rational => Numeric.MixedTypes.AddSub.CanSub (AERN2.Real.Type.CSequence a) GHC.Real.Rational
+ AERN2.Real.FieldTH: instance Numeric.MixedTypes.AddSub.CanSub a GHC.Types.Int => Numeric.MixedTypes.AddSub.CanSub (AERN2.Real.Type.CSequence a) (Numeric.CollectErrors.Type.CN GHC.Types.Int)
+ AERN2.Real.FieldTH: instance Numeric.MixedTypes.AddSub.CanSub a GHC.Types.Int => Numeric.MixedTypes.AddSub.CanSub (AERN2.Real.Type.CSequence a) GHC.Types.Int
+ AERN2.Real.FieldTH: instance Numeric.MixedTypes.Div.CanDiv a AERN2.MP.Dyadic.Dyadic => Numeric.MixedTypes.Div.CanDiv (AERN2.Real.Type.CSequence a) (Numeric.CollectErrors.Type.CN AERN2.MP.Dyadic.Dyadic)
+ AERN2.Real.FieldTH: instance Numeric.MixedTypes.Div.CanDiv a AERN2.MP.Dyadic.Dyadic => Numeric.MixedTypes.Div.CanDiv (AERN2.Real.Type.CSequence a) AERN2.MP.Dyadic.Dyadic
+ AERN2.Real.FieldTH: instance Numeric.MixedTypes.Div.CanDiv a GHC.Integer.Type.Integer => Numeric.MixedTypes.Div.CanDiv (AERN2.Real.Type.CSequence a) (Numeric.CollectErrors.Type.CN GHC.Integer.Type.Integer)
+ AERN2.Real.FieldTH: instance Numeric.MixedTypes.Div.CanDiv a GHC.Integer.Type.Integer => Numeric.MixedTypes.Div.CanDiv (AERN2.Real.Type.CSequence a) GHC.Integer.Type.Integer
+ AERN2.Real.FieldTH: instance Numeric.MixedTypes.Div.CanDiv a GHC.Real.Rational => Numeric.MixedTypes.Div.CanDiv (AERN2.Real.Type.CSequence a) (Numeric.CollectErrors.Type.CN GHC.Real.Rational)
+ AERN2.Real.FieldTH: instance Numeric.MixedTypes.Div.CanDiv a GHC.Real.Rational => Numeric.MixedTypes.Div.CanDiv (AERN2.Real.Type.CSequence a) GHC.Real.Rational
+ AERN2.Real.FieldTH: instance Numeric.MixedTypes.Div.CanDiv a GHC.Types.Int => Numeric.MixedTypes.Div.CanDiv (AERN2.Real.Type.CSequence a) (Numeric.CollectErrors.Type.CN GHC.Types.Int)
+ AERN2.Real.FieldTH: instance Numeric.MixedTypes.Div.CanDiv a GHC.Types.Int => Numeric.MixedTypes.Div.CanDiv (AERN2.Real.Type.CSequence a) GHC.Types.Int
Files
- aern2-real.cabal +2/−3
- changelog.md +2/−0
- src/AERN2/Real/Field.hs +2/−173
- src/AERN2/Real/FieldTH.hs +205/−0
aern2-real.cabal view
@@ -3,11 +3,9 @@ -- This file has been generated from package.yaml by hpack version 0.34.4. -- -- see: https://github.com/sol/hpack------ hash: 5876d1cb06216bd03fa7525216359040a103cbaa847257f879df367b53fb413c name: aern2-real-version: 0.2.7.0+version: 0.2.8.0 synopsis: Real numbers as sequences of MPBalls description: Please see the README on GitHub at <https://github.com/michalkonecny/aern2/#readme> category: Math@@ -35,6 +33,7 @@ AERN2.Real.Comparisons AERN2.Real.Elementary AERN2.Real.Field+ AERN2.Real.FieldTH AERN2.Real.Limit AERN2.Real.Tests AERN2.Real.Type
changelog.md view
@@ -1,5 +1,7 @@ # Change log for aern2-real +* v 0.2.8 2021-08-04+ * compatibility with ghc 9.0.1 * v 0.2.7 2021-06-02 * add RealNumber type class * v 0.2.6 2021-05-29
src/AERN2/Real/Field.hs view
@@ -24,10 +24,11 @@ import qualified Prelude as P import AERN2.MP.Ball-import AERN2.MP.Dyadic+-- import AERN2.MP.Dyadic import AERN2.Real.Type import AERN2.Real.Comparisons ()+import AERN2.Real.FieldTH () {- field operations -} @@ -79,37 +80,6 @@ type PPowType (CSequence b) (CSequence e) = CSequence (PPowType b e) ppow = lift2 ppow -$(declForTypes- [[t| Integer |], [t| Int |], [t| Rational |]]- (\ e -> [d|-- instance - (CanPow b $e, HasOrderCertainly b Integer, HasEqCertainly b Integer, CanTestIsIntegerType b)- =>- CanPow (CSequence b) $e - where- type PowType (CSequence b) $e = CSequence (PowType b $e)- pow = lift1T pow- type PPowType (CSequence b) $e = CSequence (PPowType b $e)- ppow = lift1T ppow-- |]))--$(declForTypes- [[t| Integer |], [t| Int |], [t| Rational |]]- (\ b -> [d|-- instance - (CanPow $b e, HasOrderCertainly e Integer, CanTestIsIntegerType e, CanTestInteger e)- =>- CanPow $b (CSequence e) - where- type PowType $b (CSequence e) = CSequence (PowType $b e)- pow = liftT1 pow- type PPowType $b (CSequence e) = CSequence (PPowType $b e)- ppow = liftT1 ppow- |]))- --------------------------------------------------- --------------------------------------------------- -- MPBall and CN MPBall mixed-type arithmetic@@ -243,147 +213,6 @@ where type DivType (CSequence b) (CN MPBall) = DivType (CN b) (CN MPBall) divide s b = divide (s ? (getPrecision b)) b------------------------------------------------------------------------------------------------------------ Integer, Rational etc. mixed-type arithmetic-----------------------------------------------------------------------------------------------------------$(declForTypes- [[t| Integer |], [t| Int |], [t| Rational |], [t| Dyadic |]]- (\ t -> [d|-- instance- (CanAddAsymmetric a $t)- => - CanAddAsymmetric (CSequence a) $t- where- type AddType (CSequence a) $t = CSequence (AddType a $t)- add = lift1T add-- instance- (CanAddAsymmetric a $t)- => - CanAddAsymmetric (CSequence a) (CN $t)- where- type AddType (CSequence a) (CN $t) = CSequence (AddType a $t)- add = lift1T add-- instance- (CanAddAsymmetric $t a)- => - CanAddAsymmetric $t (CSequence a)- where- type AddType $t (CSequence a) = CSequence (AddType $t a)- add = liftT1 add-- instance- (CanAddAsymmetric $t a)- => - CanAddAsymmetric (CN $t) (CSequence a)- where- type AddType (CN $t) (CSequence a) = CSequence (AddType $t a)- add = liftT1 add-- instance- (CanSub a $t)- => - CanSub (CSequence a) $t- where- type SubType (CSequence a) $t = CSequence (SubType a $t)- sub = lift1T sub-- instance- (CanSub a $t)- => - CanSub (CSequence a) (CN $t)- where- type SubType (CSequence a) (CN $t) = CSequence (SubType a $t)- sub = lift1T sub-- instance- (CanSub $t a)- => - CanSub $t (CSequence a)- where- type SubType $t (CSequence a) = CSequence (SubType $t a)- sub = liftT1 sub-- instance- (CanSub $t a)- => - CanSub (CN $t) (CSequence a)- where- type SubType (CN $t) (CSequence a) = CSequence (SubType $t a)- sub = liftT1 sub-- instance- (CanMulAsymmetric a $t, CanGiveUpIfVeryInaccurate (MulType a $t))- => - CanMulAsymmetric (CSequence a) $t- where- type MulType (CSequence a) $t = CSequence (MulType a $t)- mul = lift1T mul-- instance- (CanMulAsymmetric a $t, CanGiveUpIfVeryInaccurate (MulType a $t))- => - CanMulAsymmetric (CSequence a) (CN $t)- where- type MulType (CSequence a) (CN $t) = CSequence (MulType a $t)- mul = lift1T mul-- instance- (CanMulAsymmetric $t a, CanGiveUpIfVeryInaccurate (MulType $t a))- => - CanMulAsymmetric $t (CSequence a)- where- type MulType $t (CSequence a) = CSequence (MulType $t a)- mul = liftT1 mul-- instance- (CanMulAsymmetric $t a, CanGiveUpIfVeryInaccurate (MulType $t a))- => - CanMulAsymmetric (CN $t) (CSequence a)- where- type MulType (CN $t) (CSequence a) = CSequence (MulType $t a)- mul = liftT1 mul-- instance- (CanDiv a $t)- => - CanDiv (CSequence a) $t- where- type DivType (CSequence a) $t = CSequence (DivType a $t)- divide = lift1T divide-- instance- (CanDiv a $t)- => - CanDiv (CSequence a) (CN $t)- where- type DivType (CSequence a) (CN $t) = CSequence (DivType a $t)- divide = lift1T divide-- instance- (CanDiv $t a, CanTestZero a)- => - CanDiv $t (CSequence a)- where- type DivType $t (CSequence a) = CSequence (DivType $t a)- divide = liftT1 divide-- instance- (CanDiv $t a, CanTestZero a)- => - CanDiv (CN $t) (CSequence a)- where- type DivType (CN $t) (CSequence a) = CSequence (DivType $t a)- divide = liftT1 divide-- |])) {- Prelude Num, Real, Fractional instance -}
+ src/AERN2/Real/FieldTH.hs view
@@ -0,0 +1,205 @@+{-# LANGUAGE TemplateHaskell #-}+{-# OPTIONS_GHC -Wno-orphans #-}+{-|+ Module : AERN2.Real.FieldTH+ Description : field operations on CReal+ Copyright : (c) Michal Konecny+ License : BSD3++ Maintainer : mikkonecny@gmail.com+ Stability : experimental+ Portability : portable++ Field operations on Cauchy Real numbers.+-}+module AERN2.Real.FieldTH+(+-- * field ops (`add`, `sub`, `mul`, `div`) for `CReal -> CReal -> CReal`+-- * field ops for `CReal -> t -> CReal` and `t -> CReal -> CReal` where `t` is `Int`, `Integer`, `Rational`, `Dyadic`+-- * field ops for `CReal -> MPBall -> MPBall` and `CReal -> CN MPBall -> CN MPBall`+)+where++import MixedTypesNumPrelude+-- import qualified Prelude as P++-- import AERN2.MP.Ball+import AERN2.MP.Dyadic++import AERN2.Real.Type+import AERN2.Real.Comparisons ()++{- field operations -}++$(declForTypes+ [[t| Integer |], [t| Int |], [t| Rational |]]+ (\ e -> [d|++ instance + (CanPow b $e, HasOrderCertainly b Integer, HasEqCertainly b Integer, CanTestIsIntegerType b)+ =>+ CanPow (CSequence b) $e + where+ type PowType (CSequence b) $e = CSequence (PowType b $e)+ pow = lift1T pow+ type PPowType (CSequence b) $e = CSequence (PPowType b $e)+ ppow = lift1T ppow++ |]))++$(declForTypes+ [[t| Integer |], [t| Int |], [t| Rational |]]+ (\ b -> [d|++ instance + (CanPow $b e, HasOrderCertainly e Integer, CanTestIsIntegerType e, CanTestInteger e)+ =>+ CanPow $b (CSequence e) + where+ type PowType $b (CSequence e) = CSequence (PowType $b e)+ pow = liftT1 pow+ type PPowType $b (CSequence e) = CSequence (PPowType $b e)+ ppow = liftT1 ppow+ |]))++---------------------------------------------------+---------------------------------------------------+-- Integer, Rational etc. mixed-type arithmetic+---------------------------------------------------+---------------------------------------------------+++$(declForTypes+ [[t| Integer |], [t| Int |], [t| Rational |], [t| Dyadic |]]+ (\ t -> [d|++ instance+ (CanAddAsymmetric a $t)+ => + CanAddAsymmetric (CSequence a) $t+ where+ type AddType (CSequence a) $t = CSequence (AddType a $t)+ add = lift1T add++ instance+ (CanAddAsymmetric a $t)+ => + CanAddAsymmetric (CSequence a) (CN $t)+ where+ type AddType (CSequence a) (CN $t) = CSequence (AddType a $t)+ add = lift1T add++ instance+ (CanAddAsymmetric $t a)+ => + CanAddAsymmetric $t (CSequence a)+ where+ type AddType $t (CSequence a) = CSequence (AddType $t a)+ add = liftT1 add++ instance+ (CanAddAsymmetric $t a)+ => + CanAddAsymmetric (CN $t) (CSequence a)+ where+ type AddType (CN $t) (CSequence a) = CSequence (AddType $t a)+ add = liftT1 add++ instance+ (CanSub a $t)+ => + CanSub (CSequence a) $t+ where+ type SubType (CSequence a) $t = CSequence (SubType a $t)+ sub = lift1T sub++ instance+ (CanSub a $t)+ => + CanSub (CSequence a) (CN $t)+ where+ type SubType (CSequence a) (CN $t) = CSequence (SubType a $t)+ sub = lift1T sub++ instance+ (CanSub $t a)+ => + CanSub $t (CSequence a)+ where+ type SubType $t (CSequence a) = CSequence (SubType $t a)+ sub = liftT1 sub++ instance+ (CanSub $t a)+ => + CanSub (CN $t) (CSequence a)+ where+ type SubType (CN $t) (CSequence a) = CSequence (SubType $t a)+ sub = liftT1 sub++ instance+ (CanMulAsymmetric a $t, CanGiveUpIfVeryInaccurate (MulType a $t))+ => + CanMulAsymmetric (CSequence a) $t+ where+ type MulType (CSequence a) $t = CSequence (MulType a $t)+ mul = lift1T mul++ instance+ (CanMulAsymmetric a $t, CanGiveUpIfVeryInaccurate (MulType a $t))+ => + CanMulAsymmetric (CSequence a) (CN $t)+ where+ type MulType (CSequence a) (CN $t) = CSequence (MulType a $t)+ mul = lift1T mul++ instance+ (CanMulAsymmetric $t a, CanGiveUpIfVeryInaccurate (MulType $t a))+ => + CanMulAsymmetric $t (CSequence a)+ where+ type MulType $t (CSequence a) = CSequence (MulType $t a)+ mul = liftT1 mul++ instance+ (CanMulAsymmetric $t a, CanGiveUpIfVeryInaccurate (MulType $t a))+ => + CanMulAsymmetric (CN $t) (CSequence a)+ where+ type MulType (CN $t) (CSequence a) = CSequence (MulType $t a)+ mul = liftT1 mul++ instance+ (CanDiv a $t)+ => + CanDiv (CSequence a) $t+ where+ type DivType (CSequence a) $t = CSequence (DivType a $t)+ divide = lift1T divide++ instance+ (CanDiv a $t)+ => + CanDiv (CSequence a) (CN $t)+ where+ type DivType (CSequence a) (CN $t) = CSequence (DivType a $t)+ divide = lift1T divide++ instance+ (CanDiv $t a, CanTestZero a)+ => + CanDiv $t (CSequence a)+ where+ type DivType $t (CSequence a) = CSequence (DivType $t a)+ divide = liftT1 divide++ instance+ (CanDiv $t a, CanTestZero a)+ => + CanDiv (CN $t) (CSequence a)+ where+ type DivType (CN $t) (CSequence a) = CSequence (DivType $t a)+ divide = liftT1 divide++ |]))+