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2 changes: 2 additions & 0 deletions .gitignore
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*.dot
*.il
*.txt
*.o
*.so
examplesold/
src/test/scala/dump/
src/test/analysis/dump/
146 changes: 146 additions & 0 deletions docs/il-cfg.md
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CFG Iterator Implementation
===========================

This file explains the in-place CFG representation on top of the IL.

Motivations
-----------

We want a unified IL and CFG representation to avoid the problem of keeping two datastructures in sync,
and to essentially avoid the problem of defining the correspondence between the static analysis state domain, and
the IL in order to apply a transformation to the IL using the CFG results.

It also reduces the number of places refactors need to be applied, and reduces memory overhead for static analyses
(hopefully).


Interpreting the CFG from the IL
--------------------------------

The IL has two structural interpretations:

1. Its syntax tree; expressions have sub expressions and so on.
- This can be traversed using Visitors
- It can also be traversed down by accessing class fields, and upward using the Parent trait
- The traversal order is defined by the order of terms in the language with a depth-first traversal of sub-terms.
2. Its control flow graph; this is part of the language's semantics, and is inferred from the Jump and Call statements.
- This is traversed using the control flow iterator, or by constructing the separate Tip-style CFG and traversing that.
From here on we describe the 'control-flow iterator'.
- The traversal order is defined by the `Dependency` structure and `Worklist` solvers and the predecessor/successor
relation between pairs of nodes

We need to derive the predecessor/successor relation on CFG nodes IL .

1. CFG positions are defined as
- The entry to a procedure
- The single return point from a procedure
- The block and jump statement that return from the procedure
- The beginning of a block within a procedure
- A statement command within a block
- A jump or call command within a block

For example we define the language as statements for horn clauses. (`A :- B` means B produces A, with `,` indicating
conjunction and `;` indicating disjunction)

First we have basic blocks belonging to a procedure.

Procedure(id)
Block(id, procedure)
EntryBlock(block_id, procedure)
ReturnBlock(block_id, procedure)
Block(id, procedure) :- EntryBlock(id, procedure); ReturnBlock(id, procedure)

A list of sequential statements belonging to a block

Statement(id, block, index)

A list of jumps (either Calls or GoTos) belonging to a block, which occur after the statements. GoTos form the
intra-procedural edges, and Calls form the inter-procedural edges.

GoTo(id, block, destinationBlock) // multiple destinations
Call(id, block, destinationProcedure, returnBlock), count {Call(id, block, _, _)} == 1
Jump(id, block) :- GoTo(id, block, _) ; Call(id, block, _, _)

Statements and Jumps are both considered commands. All IL terms, commands, blocks, and procedures, have a unique
identifier. All of the above are considered IL terms.

Command(id) :- Statement(id, _, _) ; Jump(id, _)
ILTerm(id) :- Procedure(id); Block(id, _); Command(id)

The predecessor/successor relates ILTerms to ILTerms, and is simply defined in terms of the nodes

pred(i, j) :- succ(j, i)

succ(block, statement) :- Statement(statement, block, 0)
succ(statement1, statement2) :- Statement(statement1, block, i), Statement(statement2, block, i + 1)
succ(statement, goto) :- Statement(block, _last), Jump(block, goto), _last = max i forall Statement(block, i)

succ(goto, targetBlock) :- GoTo(goto, _, _, targetBlock)

succ(call, return_block) :- Call(call, block, dest_procedure, return_block)

For an inter-procedural CFG we also have:

succ(call, return_block) :- ReturnBlock(return_block, call), Procedure(call)
succ(call, targetProcedure) :- Call(call, _, _, targetProcedure)

An inter-procedural solver is expected to keep track of call sites which return statements jump back to.

So a sequential application of `succ` might look like

ProcedureA -> {Block0} -> {Statement1} -> {Statement2} -> {Jump0, Jump1} -> {Block1} | {Block2} -> ...

Implementation
--------------

We want it to be possible to define `succ(term, _)` and `pred(term, _)` for any given term in the IL in `O(1)`.
Successors are easily derived but predecessors are not stored with their successors. Furthermore `ProcedureExit`,
and `CallReturn` are not inherently present in the IL.

In code we have a set of Calls, and Gotos present in the IL: these define the edges from themselves to their target.

Then all vertices in the CFG---that is all Commands, Blocks, and Procedures in the IL---store a list of references to
their set of incoming and outgoing edges. In a sense the 'id's in the formulation above become the JVM object IDs.

For Blocks and Procedures this means a `Set` of call statements. For Commands this means they are
stored in their block in an intrusive linked list.

Specifically this means we store

Command:
- reference to parent block
- procedure to find the next or previous statement in the block
- IntrusiveListElement trait inserts a next() and previous() method forming the linked list

Block
- reference to parent procedure
- list of incoming GoTos
- list of Jumps including
- Outgoing Calls
- Outgoing GoTos
Procedure
- list of incoming Calls
- subroutine to compute the set of all outgoing calls in all contained blocks

This means the IL contains:
- Forward graph edges in the forms of calls and gotos
- Forward syntax tree edges in the form of classes containing their children as fields
- Backwards graph edges in the form of lists of incoming jumps and calls
- Procedure has list of incoming calls
- Block has list of incoming gotos
- Backwards syntax tree edges in the form of a parent field
- Implementation of the `HasParent` trait.

To maintain the backwards edges it is necessary to make the actual data structures private, and only allow
modification through interfaces which maintain the graph/tree.

Jumps:
- Must implement an interface to allow adding or removing edge references (references to themself) to and from their
target

Blocks and Procedures:
- Implement an interface for adding and removing edge references

Furthermore;
- Reparenting Blocks and Commands in the IL must preserve the parent field, this is not really implemented yet
28 changes: 28 additions & 0 deletions examples/memcpy-variants/Makefile
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.PHONY=all
.PHONY=result
.PHONY=resultiter

all: resultiter result

result: example.bpl extraspec.bpl iterator-spec.bpl
boogie example.bpl extraspec.bpl /mv example.model /smoke /proverLog result.log | tee result

resultiter: example.bpl extraspec.bpl iterator-spec.bpl
boogie iterator-spec.bpl extraspec.bpl /mv example.model /smoke /vcsSplitOnEveryAssert /proverLog iterator.log | tee resultiter

a.out: example.c
aarch64-linux-gnu-gcc example.c -fno-builtin-memcpy

example.adt: a.out
bap-aslp a.out -d adt:example.adt
bap-aslp a.out -d > example.bil
readelf -s -r -W a.out > example.relf

example.bpl: example.adt example.spec
java -jar ../../target/scala-3.3.1/wptool-boogie-assembly-0.0.1.jar --adt example.adt --relf example.relf -o example.bpl --spec example.spec --boogie-use-lambda-stores --dump-il example.il


iterator-spec.bpl: example.adt memcpyspec-iterindex.spec
java -jar ../../target/scala-3.3.1/wptool-boogie-assembly-0.0.1.jar --adt example.adt --relf example.relf -o iterator-spec.bpl --spec memcpyspec-iterindex.spec --boogie-use-lambda-stores

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