hoopl-3.10.0.2: A library to support dataflow analysis and optimization

Safe Haskell | Safe
Language | Haskell2010

Compiler.Hoopl.Internals

Contents

- Shapes
- Blocks
  - Predicates on Blocks
  - Constructing blocks
  - Deconstructing blocks
  - Modifying blocks
  - Converting to and from lists
  - Maps and folds
  - Biasing
- Body
- Graph
  - Constructing graphs
  - Splicing graphs
  - Maps
  - Folds
  - Extracting Labels
  - Depth-first traversals
- Respecting Fuel

Synopsis

- data O
- data C
- data MaybeO ex t where
  - JustO :: t -> MaybeO O t
  - NothingO :: MaybeO C t
- data MaybeC ex t where
  - JustC :: t -> MaybeC C t
  - NothingC :: MaybeC O t
- type family IndexedCO ex a b :: *
- data Shape ex where
  - Closed :: Shape C
  - Open :: Shape O
- data Block n e x where
  - BlockCO :: n C O -> Block n O O -> Block n C O
  - BlockCC :: n C O -> Block n O O -> n O C -> Block n C C
  - BlockOC :: Block n O O -> n O C -> Block n O C
  - BNil :: Block n O O
  - BMiddle :: n O O -> Block n O O
  - BCat :: Block n O O -> Block n O O -> Block n O O
  - BSnoc :: Block n O O -> n O O -> Block n O O
  - BCons :: n O O -> Block n O O -> Block n O O
- isEmptyBlock :: Block n e x -> Bool
- emptyBlock :: Block n O O
- blockCons :: n O O -> Block n O x -> Block n O x
- blockSnoc :: Block n e O -> n O O -> Block n e O
- blockJoinHead :: n C O -> Block n O x -> Block n C x
- blockJoinTail :: Block n e O -> n O C -> Block n e C
- blockJoin :: n C O -> Block n O O -> n O C -> Block n C C
- blockJoinAny :: (MaybeC e (n C O), Block n O O, MaybeC x (n O C)) -> Block n e x
- blockAppend :: Block n e O -> Block n O x -> Block n e x
- firstNode :: Block n C x -> n C O
- lastNode :: Block n x C -> n O C
- endNodes :: Block n C C -> (n C O, n O C)
- blockSplitHead :: Block n C x -> (n C O, Block n O x)
- blockSplitTail :: Block n e C -> (Block n e O, n O C)
- blockSplit :: Block n C C -> (n C O, Block n O O, n O C)
- blockSplitAny :: Block n e x -> (MaybeC e (n C O), Block n O O, MaybeC x (n O C))
- replaceFirstNode :: Block n C x -> n C O -> Block n C x
- replaceLastNode :: Block n x C -> n O C -> Block n x C
- blockToList :: Block n O O -> [n O O]
- blockFromList :: [n O O] -> Block n O O
- mapBlock :: (forall e x. n e x -> n' e x) -> Block n e x -> Block n' e x
- mapBlock' :: (forall e x. n e x -> n' e x) -> Block n e x -> Block n' e x
- mapBlock3' :: forall n n' e x. (n C O -> n' C O, n O O -> n' O O, n O C -> n' O C) -> Block n e x -> Block n' e x
- foldBlockNodesF :: forall n a. (forall e x. n e x -> a -> a) -> forall e x. Block n e x -> IndexedCO e a a -> IndexedCO x a a
- foldBlockNodesF3 :: forall n a b c. (n C O -> a -> b, n O O -> b -> b, n O C -> b -> c) -> forall e x. Block n e x -> IndexedCO e a b -> IndexedCO x c b
- foldBlockNodesB :: forall n a. (forall e x. n e x -> a -> a) -> forall e x. Block n e x -> IndexedCO x a a -> IndexedCO e a a
- foldBlockNodesB3 :: forall n a b c. (n C O -> b -> c, n O O -> b -> b, n O C -> a -> b) -> forall e x. Block n e x -> IndexedCO x a b -> IndexedCO e c b
- frontBiasBlock :: Block n e x -> Block n e x
- backBiasBlock :: Block n e x -> Block n e x
- type Body n = LabelMap (Block n C C)
- type Body' block n = LabelMap (block n C C)
- emptyBody :: Body' block n
- bodyList :: NonLocal (block n) => Body' block n -> [(Label, block n C C)]
- addBlock :: NonLocal thing => thing C C -> LabelMap (thing C C) -> LabelMap (thing C C)
- bodyUnion :: forall a. LabelMap a -> LabelMap a -> LabelMap a
- type Graph = Graph' Block
- data Graph' block n e x where
  - GNil :: Graph' block n O O
  - GUnit :: block n O O -> Graph' block n O O
  - GMany :: MaybeO e (block n O C) -> Body' block n -> MaybeO x (block n C O) -> Graph' block n e x
- class NonLocal thing where
  - entryLabel :: thing C x -> Label
  - successors :: thing e C -> [Label]
- bodyGraph :: Body n -> Graph n C C
- blockGraph :: NonLocal n => Block n e x -> Graph n e x
- gUnitOO :: block n O O -> Graph' block n O O
- gUnitOC :: block n O C -> Graph' block n O C
- gUnitCO :: block n C O -> Graph' block n C O
- gUnitCC :: NonLocal (block n) => block n C C -> Graph' block n C C
- catGraphNodeOC :: NonLocal n => Graph n e O -> n O C -> Graph n e C
- catGraphNodeOO :: Graph n e O -> n O O -> Graph n e O
- catNodeCOGraph :: NonLocal n => n C O -> Graph n O x -> Graph n C x
- catNodeOOGraph :: n O O -> Graph n O x -> Graph n O x
- splice :: forall block n e a x. NonLocal (block n) => (forall e x. block n e O -> block n O x -> block n e x) -> Graph' block n e a -> Graph' block n a x -> Graph' block n e x
- gSplice :: NonLocal n => Graph n e a -> Graph n a x -> Graph n e x
- mapGraph :: (forall e x. n e x -> n' e x) -> Graph n e x -> Graph n' e x
- mapGraphBlocks :: forall block n block' n' e x. (forall e x. block n e x -> block' n' e x) -> Graph' block n e x -> Graph' block' n' e x
- foldGraphNodes :: forall n a. (forall e x. n e x -> a -> a) -> forall e x. Graph n e x -> a -> a
- labelsDefined :: forall block n e x. NonLocal (block n) => Graph' block n e x -> LabelSet
- labelsUsed :: forall block n e x. NonLocal (block n) => Graph' block n e x -> LabelSet
- externalEntryLabels :: forall n. NonLocal n => LabelMap (Block n C C) -> LabelSet
- postorder_dfs :: NonLocal (block n) => Graph' block n O x -> [block n C C]
- postorder_dfs_from :: (NonLocal block, LabelsPtr b) => LabelMap (block C C) -> b -> [block C C]
- postorder_dfs_from_except :: forall block e. (NonLocal block, LabelsPtr e) => LabelMap (block C C) -> e -> LabelSet -> [block C C]
- preorder_dfs :: NonLocal (block n) => Graph' block n O x -> [block n C C]
- preorder_dfs_from_except :: forall block e. (NonLocal block, LabelsPtr e) => LabelMap (block C C) -> e -> LabelSet -> [block C C]
- class LabelsPtr l where
  - targetLabels :: l -> [Label]
- data Label
- freshLabel :: UniqueMonad m => m Label
- data LabelSet
- data LabelMap v
- type FactBase f = LabelMap f
- noFacts :: FactBase f
- lookupFact :: Label -> FactBase f -> Maybe f
- uniqueToLbl :: Unique -> Label
- lblToUnique :: Label -> Unique
- data DataflowLattice a = DataflowLattice {
  - fact_name :: String
  - fact_bot :: a
  - fact_join :: JoinFun a
  }
- type JoinFun a = Label -> OldFact a -> NewFact a -> (ChangeFlag, a)
- newtype OldFact a = OldFact a
- newtype NewFact a = NewFact a
- type family Fact x f :: *
- mkFactBase :: forall f. DataflowLattice f -> [(Label, f)] -> FactBase f
- data ChangeFlag
  - = NoChange
  - | SomeChange
- changeIf :: Bool -> ChangeFlag
- data FwdPass m n f = FwdPass {
  - fp_lattice :: DataflowLattice f
  - fp_transfer :: FwdTransfer n f
  - fp_rewrite :: FwdRewrite m n f
  }
- newtype FwdTransfer n f = FwdTransfer3 {
  - getFTransfer3 :: (n C O -> f -> f, n O O -> f -> f, n O C -> f -> FactBase f)
  }
- mkFTransfer :: (forall e x. n e x -> f -> Fact x f) -> FwdTransfer n f
- mkFTransfer3 :: (n C O -> f -> f) -> (n O O -> f -> f) -> (n O C -> f -> FactBase f) -> FwdTransfer n f
- newtype FwdRewrite m n f = FwdRewrite3 {
  - getFRewrite3 :: (n C O -> f -> m (Maybe (Graph n C O, FwdRewrite m n f)), n O O -> f -> m (Maybe (Graph n O O, FwdRewrite m n f)), n O C -> f -> m (Maybe (Graph n O C, FwdRewrite m n f)))
  }
- mkFRewrite :: FuelMonad m => (forall e x. n e x -> f -> m (Maybe (Graph n e x))) -> FwdRewrite m n f
- mkFRewrite3 :: forall m n f. FuelMonad m => (n C O -> f -> m (Maybe (Graph n C O))) -> (n O O -> f -> m (Maybe (Graph n O O))) -> (n O C -> f -> m (Maybe (Graph n O C))) -> FwdRewrite m n f
- noFwdRewrite :: Monad m => FwdRewrite m n f
- wrapFR :: (forall e x. (n e x -> f -> m (Maybe (Graph n e x, FwdRewrite m n f))) -> n' e x -> f' -> m' (Maybe (Graph n' e x, FwdRewrite m' n' f'))) -> FwdRewrite m n f -> FwdRewrite m' n' f'
- wrapFR2 :: (forall e x. (n1 e x -> f1 -> m1 (Maybe (Graph n1 e x, FwdRewrite m1 n1 f1))) -> (n2 e x -> f2 -> m2 (Maybe (Graph n2 e x, FwdRewrite m2 n2 f2))) -> n3 e x -> f3 -> m3 (Maybe (Graph n3 e x, FwdRewrite m3 n3 f3))) -> FwdRewrite m1 n1 f1 -> FwdRewrite m2 n2 f2 -> FwdRewrite m3 n3 f3
- data BwdPass m n f = BwdPass {
  - bp_lattice :: DataflowLattice f
  - bp_transfer :: BwdTransfer n f
  - bp_rewrite :: BwdRewrite m n f
  }
- newtype BwdTransfer n f = BwdTransfer3 {
  - getBTransfer3 :: (n C O -> f -> f, n O O -> f -> f, n O C -> FactBase f -> f)
  }
- mkBTransfer :: (forall e x. n e x -> Fact x f -> f) -> BwdTransfer n f
- mkBTransfer3 :: (n C O -> f -> f) -> (n O O -> f -> f) -> (n O C -> FactBase f -> f) -> BwdTransfer n f
- wrapBR :: (forall e x. Shape x -> (n e x -> Fact x f -> m (Maybe (Graph n e x, BwdRewrite m n f))) -> n' e x -> Fact x f' -> m' (Maybe (Graph n' e x, BwdRewrite m' n' f'))) -> BwdRewrite m n f -> BwdRewrite m' n' f'
- wrapBR2 :: (forall e x. Shape x -> (n1 e x -> Fact x f1 -> m1 (Maybe (Graph n1 e x, BwdRewrite m1 n1 f1))) -> (n2 e x -> Fact x f2 -> m2 (Maybe (Graph n2 e x, BwdRewrite m2 n2 f2))) -> n3 e x -> Fact x f3 -> m3 (Maybe (Graph n3 e x, BwdRewrite m3 n3 f3))) -> BwdRewrite m1 n1 f1 -> BwdRewrite m2 n2 f2 -> BwdRewrite m3 n3 f3
- newtype BwdRewrite m n f = BwdRewrite3 {
  - getBRewrite3 :: (n C O -> f -> m (Maybe (Graph n C O, BwdRewrite m n f)), n O O -> f -> m (Maybe (Graph n O O, BwdRewrite m n f)), n O C -> FactBase f -> m (Maybe (Graph n O C, BwdRewrite m n f)))
  }
- mkBRewrite :: FuelMonad m => (forall e x. n e x -> Fact x f -> m (Maybe (Graph n e x))) -> BwdRewrite m n f
- mkBRewrite3 :: forall m n f. FuelMonad m => (n C O -> f -> m (Maybe (Graph n C O))) -> (n O O -> f -> m (Maybe (Graph n O O))) -> (n O C -> FactBase f -> m (Maybe (Graph n O C))) -> BwdRewrite m n f
- noBwdRewrite :: Monad m => BwdRewrite m n f
- analyzeAndRewriteFwd :: forall m n f e x entries. (CheckpointMonad m, NonLocal n, LabelsPtr entries) => FwdPass m n f -> MaybeC e entries -> Graph n e x -> Fact e f -> m (Graph n e x, FactBase f, MaybeO x f)
- analyzeAndRewriteBwd :: (CheckpointMonad m, NonLocal n, LabelsPtr entries) => BwdPass m n f -> MaybeC e entries -> Graph n e x -> Fact x f -> m (Graph n e x, FactBase f, MaybeO e f)

# Shapes

data O

Used at the type level to indicate an "open" structure with a unique, unnamed control-flow edge flowing in or out. Fallthrough and concatenation are permitted at an open point.

Instances

IfThenElseable O |
type Fact O f = f |
type IndexedCO O a b = b |

data C

Used at the type level to indicate a "closed" structure which supports control transfer only through the use of named labels---no "fallthrough" is permitted. The number of control-flow edges is unconstrained.

Instances

IfThenElseable C |
NonLocal n => LabelsPtr (n e C) |
type Fact C f = FactBase f |
type IndexedCO C a b = a |

data MaybeO ex t where

Maybe type indexed by open/closed

Constructors

JustO :: t -> MaybeO O t |
NothingO :: MaybeO C t |

Instances

Functor (MaybeO ex) |

data MaybeC ex t where

Maybe type indexed by closed/open

Constructors

JustC :: t -> MaybeC C t |
NothingC :: MaybeC O t |

Instances

Functor (MaybeC ex) |

type family IndexedCO ex a b :: *

Either type indexed by closed/open using type families

Instances

type IndexedCO C a b = a |
type IndexedCO O a b = b |

data Shape ex where

Dynamic shape value

Constructors

Closed :: Shape C |
Open :: Shape O |

# Blocks

data Block n e x where

A sequence of nodes. May be any of four shapes (OO, OC, CO, CC). Open at the entry means single entry, mutatis mutandis for exit. A closedclosed block is a basic/ block and can't be extended further. Clients should avoid manipulating blocks and should stick to either nodes or graphs.

Constructors

BlockCO :: n C O -> Block n O O -> Block n C O |
BlockCC :: n C O -> Block n O O -> n O C -> Block n C C |
BlockOC :: Block n O O -> n O C -> Block n O C |
BNil :: Block n O O |
BMiddle :: n O O -> Block n O O |
BCat :: Block n O O -> Block n O O -> Block n O O |
BSnoc :: Block n O O -> n O O -> Block n O O |
BCons :: n O O -> Block n O O -> Block n O O |

Instances

NonLocal n => NonLocal (Block n) |

## Predicates on Blocks

isEmptyBlock :: Block n e x -> Bool

## Constructing blocks

emptyBlock :: Block n O O

blockCons :: n O O -> Block n O x -> Block n O x

blockSnoc :: Block n e O -> n O O -> Block n e O

blockJoinHead :: n C O -> Block n O x -> Block n C x

blockJoinTail :: Block n e O -> n O C -> Block n e C

blockJoin :: n C O -> Block n O O -> n O C -> Block n C C

blockJoinAny :: (MaybeC e (n C O), Block n O O, MaybeC x (n O C)) -> Block n e x

Convert a list of nodes to a block. The entry and exit node must or must not be present depending on the shape of the block.

blockAppend :: Block n e O -> Block n O x -> Block n e x

## Deconstructing blocks

firstNode :: Block n C x -> n C O

lastNode :: Block n x C -> n O C

endNodes :: Block n C C -> (n C O, n O C)

blockSplitHead :: Block n C x -> (n C O, Block n O x)

blockSplitTail :: Block n e C -> (Block n e O, n O C)

blockSplit :: Block n C C -> (n C O, Block n O O, n O C)

Split a closed block into its entry node, open middle block, and exit node.

blockSplitAny :: Block n e x -> (MaybeC e (n C O), Block n O O, MaybeC x (n O C))

## Modifying blocks

replaceFirstNode :: Block n C x -> n C O -> Block n C x

replaceLastNode :: Block n x C -> n O C -> Block n x C

## Converting to and from lists

blockToList :: Block n O O -> [n O O]

blockFromList :: [n O O] -> Block n O O

## Maps and folds

mapBlock :: (forall e x. n e x -> n' e x) -> Block n e x -> Block n' e x

map a function over the nodes of a `Block`

mapBlock' :: (forall e x. n e x -> n' e x) -> Block n e x -> Block n' e x

A strict `mapBlock`

mapBlock3' :: forall n n' e x. (n C O -> n' C O, n O O -> n' O O, n O C -> n' O C) -> Block n e x -> Block n' e x

map over a block, with different functions to apply to first nodes, middle nodes and last nodes respectively. The map is strict.

foldBlockNodesF :: forall n a. (forall e x. n e x -> a -> a) -> forall e x. Block n e x -> IndexedCO e a a -> IndexedCO x a a

foldBlockNodesF3 :: forall n a b c. (n C O -> a -> b, n O O -> b -> b, n O C -> b -> c) -> forall e x. Block n e x -> IndexedCO e a b -> IndexedCO x c b

Fold a function over every node in a block, forward or backward. The fold function must be polymorphic in the shape of the nodes.

foldBlockNodesB :: forall n a. (forall e x. n e x -> a -> a) -> forall e x. Block n e x -> IndexedCO x a a -> IndexedCO e a a

foldBlockNodesB3 :: forall n a b c. (n C O -> b -> c, n O O -> b -> b, n O C -> a -> b) -> forall e x. Block n e x -> IndexedCO x a b -> IndexedCO e c b

## Biasing

frontBiasBlock :: Block n e x -> Block n e x

A block is "front biased" if the left child of every concatenation operation is a node, not a general block; a front-biased block is analogous to an ordinary list. If a block is front-biased, then its nodes can be traversed from front to back without general recusion; tail recursion suffices. Not all shapes can be front-biased; a closed/open block is inherently back-biased.

backBiasBlock :: Block n e x -> Block n e x

A block is "back biased" if the right child of every concatenation operation is a node, not a general block; a back-biased block is analogous to a snoc-list. If a block is back-biased, then its nodes can be traversed from back to back without general recusion; tail recursion suffices. Not all shapes can be back-biased; an open/closed block is inherently front-biased.

# Body

type Body n = LabelMap (Block n C C)

A (possibly empty) collection of closed/closed blocks

type Body' block n = LabelMap (block n C C)

`Body` abstracted over `block`

emptyBody :: Body' block n

bodyList :: NonLocal (block n) => Body' block n -> [(Label, block n C C)]

addBlock :: NonLocal thing => thing C C -> LabelMap (thing C C) -> LabelMap (thing C C)

bodyUnion :: forall a. LabelMap a -> LabelMap a -> LabelMap a

# Graph

type Graph = Graph' Block

A control-flow graph, which may take any of four shapes (O/O, OC, CO, C/C). A graph open at the entry has a single, distinguished, anonymous entry point; if a graph is closed at the entry, its entry point(s) are supplied by a context.

data Graph' block n e x where

`Graph'` is abstracted over the block type, so that we can build graphs of annotated blocks for example (Compiler.Hoopl.Dataflow needs this).

Constructors

GNil :: Graph' block n O O |
GUnit :: block n O O -> Graph' block n O O |
GMany :: MaybeO e (block n O C) -> Body' block n -> MaybeO x (block n C O) -> Graph' block n e x |

class NonLocal thing where

Gives access to the anchor points for nonlocal edges as well as the edges themselves

Methods

entryLabel

Arguments

:: thing C x |
-> Label | The label of a first node or block

successors

Arguments

:: thing e C |
-> [Label] | Gives control-flow successors

Instances

NonLocal n => NonLocal (Block n) |

## Constructing graphs

bodyGraph :: Body n -> Graph n C C

blockGraph :: NonLocal n => Block n e x -> Graph n e x

gUnitOO :: block n O O -> Graph' block n O O

gUnitOC :: block n O C -> Graph' block n O C

gUnitCO :: block n C O -> Graph' block n C O

gUnitCC :: NonLocal (block n) => block n C C -> Graph' block n C C

catGraphNodeOC :: NonLocal n => Graph n e O -> n O C -> Graph n e C

catGraphNodeOO :: Graph n e O -> n O O -> Graph n e O

catNodeCOGraph :: NonLocal n => n C O -> Graph n O x -> Graph n C x

catNodeOOGraph :: n O O -> Graph n O x -> Graph n O x

## Splicing graphs

splice :: forall block n e a x. NonLocal (block n) => (forall e x. block n e O -> block n O x -> block n e x) -> Graph' block n e a -> Graph' block n a x -> Graph' block n e x

gSplice :: NonLocal n => Graph n e a -> Graph n a x -> Graph n e x

## Maps

mapGraph :: (forall e x. n e x -> n' e x) -> Graph n e x -> Graph n' e x

Maps over all nodes in a graph.

mapGraphBlocks :: forall block n block' n' e x. (forall e x. block n e x -> block' n' e x) -> Graph' block n e x -> Graph' block' n' e x

Function `mapGraphBlocks` enables a change of representation of blocks, nodes, or both. It lifts a polymorphic block transform into a polymorphic graph transform. When the block representation stabilizes, a similar function should be provided for blocks.

## Folds

foldGraphNodes :: forall n a. (forall e x. n e x -> a -> a) -> forall e x. Graph n e x -> a -> a

Fold a function over every node in a graph. The fold function must be polymorphic in the shape of the nodes.

## Extracting Labels

labelsDefined :: forall block n e x. NonLocal (block n) => Graph' block n e x -> LabelSet

labelsUsed :: forall block n e x. NonLocal (block n) => Graph' block n e x -> LabelSet

externalEntryLabels :: forall n. NonLocal n => LabelMap (Block n C C) -> LabelSet

## Depth-first traversals

postorder_dfs :: NonLocal (block n) => Graph' block n O x -> [block n C C]

Traversal: `postorder_dfs` returns a list of blocks reachable from the entry of enterable graph. The entry and exit are *not* included. The list has the following property:

Say a "back reference" exists if one of a block's control-flow successors precedes it in the output list

Then there are as few back references as possible

The output is suitable for use in a forward dataflow problem. For a backward problem, simply reverse the list. (`postorder_dfs` is sufficiently tricky to implement that one doesn't want to try and maintain both forward and backward versions.)

postorder_dfs_from :: (NonLocal block, LabelsPtr b) => LabelMap (block C C) -> b -> [block C C]

postorder_dfs_from_except :: forall block e. (NonLocal block, LabelsPtr e) => LabelMap (block C C) -> e -> LabelSet -> [block C C]

preorder_dfs :: NonLocal (block n) => Graph' block n O x -> [block n C C]

preorder_dfs_from_except :: forall block e. (NonLocal block, LabelsPtr e) => LabelMap (block C C) -> e -> LabelSet -> [block C C]

class LabelsPtr l where

Methods

targetLabels :: l -> [Label]

Instances

LabelsPtr LabelSet |
LabelsPtr Label |
LabelsPtr l => LabelsPtr [l] |
NonLocal n => LabelsPtr (n e C) |

data Label

Instances

Eq Label |
Ord Label |
Show Label |
LabelsPtr Label |

freshLabel :: UniqueMonad m => m Label

data LabelSet

Instances

Eq LabelSet |
Ord LabelSet |
Show LabelSet |
IsSet LabelSet |
LabelsPtr LabelSet |
type ElemOf LabelSet = Label |

data LabelMap v

Instances

IsMap LabelMap |
Eq v => Eq (LabelMap v) |
Ord v => Ord (LabelMap v) |
Show v => Show (LabelMap v) |
type KeyOf LabelMap = Label |

type FactBase f = LabelMap f

noFacts :: FactBase f

lookupFact :: Label -> FactBase f -> Maybe f

uniqueToLbl :: Unique -> Label

lblToUnique :: Label -> Unique

data DataflowLattice a

A transfer function might want to use the logging flag to control debugging, as in for example, it updates just one element in a big finite map. We don't want Hoopl to show the whole fact, and only the transfer function knows exactly what changed.

Constructors

DataflowLattice |

Fields

fact_name :: String
fact_bot :: a
fact_join :: JoinFun a

type JoinFun a = Label -> OldFact a -> NewFact a -> (ChangeFlag, a)

newtype OldFact a

Constructors

OldFact a |

newtype NewFact a

Constructors

NewFact a |

type family Fact x f :: *

Instances

type Fact C f = FactBase f |
type Fact O f = f |

mkFactBase :: forall f. DataflowLattice f -> [(Label, f)] -> FactBase f

`mkFactBase` creates a `FactBase` from a list of (`Label`, fact) pairs. If the same label appears more than once, the relevant facts are joined.

data ChangeFlag

Constructors

NoChange |
SomeChange |

Instances

Eq ChangeFlag |
Ord ChangeFlag |

changeIf :: Bool -> ChangeFlag

data FwdPass m n f

Constructors

FwdPass |

Fields

fp_lattice :: DataflowLattice f
fp_transfer :: FwdTransfer n f
fp_rewrite :: FwdRewrite m n f

newtype FwdTransfer n f

Constructors

FwdTransfer3 |

Fields

getFTransfer3 :: (n C O -> f -> f, n O O -> f -> f, n O C -> f -> FactBase f)

mkFTransfer :: (forall e x. n e x -> f -> Fact x f) -> FwdTransfer n f

mkFTransfer3 :: (n C O -> f -> f) -> (n O O -> f -> f) -> (n O C -> f -> FactBase f) -> FwdTransfer n f

newtype FwdRewrite m n f

Constructors

FwdRewrite3 |

Fields

getFRewrite3 :: (n C O -> f -> m (Maybe (Graph n C O, FwdRewrite m n f)), n O O -> f -> m (Maybe (Graph n O O, FwdRewrite m n f)), n O C -> f -> m (Maybe (Graph n O C, FwdRewrite m n f)))

mkFRewrite :: FuelMonad m => (forall e x. n e x -> f -> m (Maybe (Graph n e x))) -> FwdRewrite m n f

Functions passed to `mkFRewrite` should not be aware of the fuel supply. The result returned by `mkFRewrite` respects fuel.

mkFRewrite3 :: forall m n f. FuelMonad m => (n C O -> f -> m (Maybe (Graph n C O))) -> (n O O -> f -> m (Maybe (Graph n O O))) -> (n O C -> f -> m (Maybe (Graph n O C))) -> FwdRewrite m n f

Functions passed to `mkFRewrite3` should not be aware of the fuel supply. The result returned by `mkFRewrite3` respects fuel.

noFwdRewrite :: Monad m => FwdRewrite m n f

wrapFR

Arguments

:: (forall e x. (n e x -> f -> m (Maybe (Graph n e x, FwdRewrite m n f))) -> n' e x -> f' -> m' (Maybe (Graph n' e x, FwdRewrite m' n' f'))) | This argument may assume that any function passed to it respects fuel, and it must return a result that respects fuel.
-> FwdRewrite m n f |
-> FwdRewrite m' n' f' |

wrapFR2

Arguments

:: (forall e x. (n1 e x -> f1 -> m1 (Maybe (Graph n1 e x, FwdRewrite m1 n1 f1))) -> (n2 e x -> f2 -> m2 (Maybe (Graph n2 e x, FwdRewrite m2 n2 f2))) -> n3 e x -> f3 -> m3 (Maybe (Graph n3 e x, FwdRewrite m3 n3 f3))) | This argument may assume that any function passed to it respects fuel, and it must return a result that respects fuel.
-> FwdRewrite m1 n1 f1 |
-> FwdRewrite m2 n2 f2 |
-> FwdRewrite m3 n3 f3 |

data BwdPass m n f

Constructors

BwdPass |

Fields

bp_lattice :: DataflowLattice f
bp_transfer :: BwdTransfer n f
bp_rewrite :: BwdRewrite m n f

newtype BwdTransfer n f

Constructors

BwdTransfer3 |

Fields

getBTransfer3 :: (n C O -> f -> f, n O O -> f -> f, n O C -> FactBase f -> f)

mkBTransfer :: (forall e x. n e x -> Fact x f -> f) -> BwdTransfer n f

mkBTransfer3 :: (n C O -> f -> f) -> (n O O -> f -> f) -> (n O C -> FactBase f -> f) -> BwdTransfer n f

wrapBR

Arguments

:: (forall e x. Shape x -> (n e x -> Fact x f -> m (Maybe (Graph n e x, BwdRewrite m n f))) -> n' e x -> Fact x f' -> m' (Maybe (Graph n' e x, BwdRewrite m' n' f'))) | This argument may assume that any function passed to it respects fuel, and it must return a result that respects fuel.
-> BwdRewrite m n f |
-> BwdRewrite m' n' f' |

wrapBR2

Arguments

:: (forall e x. Shape x -> (n1 e x -> Fact x f1 -> m1 (Maybe (Graph n1 e x, BwdRewrite m1 n1 f1))) -> (n2 e x -> Fact x f2 -> m2 (Maybe (Graph n2 e x, BwdRewrite m2 n2 f2))) -> n3 e x -> Fact x f3 -> m3 (Maybe (Graph n3 e x, BwdRewrite m3 n3 f3))) | This argument may assume that any function passed to it respects fuel, and it must return a result that respects fuel.
-> BwdRewrite m1 n1 f1 |
-> BwdRewrite m2 n2 f2 |
-> BwdRewrite m3 n3 f3 |

newtype BwdRewrite m n f

Constructors

BwdRewrite3 |

Fields

getBRewrite3 :: (n C O -> f -> m (Maybe (Graph n C O, BwdRewrite m n f)), n O O -> f -> m (Maybe (Graph n O O, BwdRewrite m n f)), n O C -> FactBase f -> m (Maybe (Graph n O C, BwdRewrite m n f)))

mkBRewrite :: FuelMonad m => (forall e x. n e x -> Fact x f -> m (Maybe (Graph n e x))) -> BwdRewrite m n f

Functions passed to `mkBRewrite` should not be aware of the fuel supply. The result returned by `mkBRewrite` respects fuel.

mkBRewrite3 :: forall m n f. FuelMonad m => (n C O -> f -> m (Maybe (Graph n C O))) -> (n O O -> f -> m (Maybe (Graph n O O))) -> (n O C -> FactBase f -> m (Maybe (Graph n O C))) -> BwdRewrite m n f

Functions passed to `mkBRewrite3` should not be aware of the fuel supply. The result returned by `mkBRewrite3` respects fuel.

noBwdRewrite :: Monad m => BwdRewrite m n f

analyzeAndRewriteFwd :: forall m n f e x entries. (CheckpointMonad m, NonLocal n, LabelsPtr entries) => FwdPass m n f -> MaybeC e entries -> Graph n e x -> Fact e f -> m (Graph n e x, FactBase f, MaybeO x f)

if the graph being analyzed is open at the entry, there must be no other entry point, or all goes horribly wrong...

analyzeAndRewriteBwd :: (CheckpointMonad m, NonLocal n, LabelsPtr entries) => BwdPass m n f -> MaybeC e entries -> Graph n e x -> Fact x f -> m (Graph n e x, FactBase f, MaybeO e f)

if the graph being analyzed is open at the exit, I don't quite understand the implications of possible other exits

# Respecting Fuel

A value of type `FwdRewrite` or `BwdRewrite` respects fuel if any function contained within the value satisfies the following properties:

- When fuel is exhausted, it always returns `Nothing`.
- When it returns `Just g rw`, it consumes exactly one unit of fuel, and new rewrite `rw` also respects fuel.

Provided that functions passed to `mkFRewrite`, `mkFRewrite3`, `mkBRewrite`, and `mkBRewrite3` are not aware of the fuel supply, the results respect fuel.

It is an unchecked run-time error for the argument passed to `wrapFR`, `wrapFR2`, `wrapBR`, or `warpBR2` to return a function that does not respect fuel.