Sync files

This commit is contained in:
Tom Hvitved
2022-08-12 11:12:02 +02:00
parent 611a6807bc
commit 7395587244
6 changed files with 1002 additions and 186 deletions

View File

@@ -39,7 +39,7 @@ private module Liveness {
/**
* Holds if the `i`th node of basic block `bb` is a reference to `v` of kind `k`.
*/
private predicate ref(BasicBlock bb, int i, SourceVariable v, RefKind k) {
predicate ref(BasicBlock bb, int i, SourceVariable v, RefKind k) {
exists(boolean certain | variableRead(bb, i, v, certain) | k = Read(certain))
or
exists(boolean certain | variableWrite(bb, i, v, certain) | k = Write(certain))
@@ -76,6 +76,10 @@ private module Liveness {
not result + 1 = refRank(bb, _, v, _)
}
predicate lastRefIsRead(BasicBlock bb, SourceVariable v) {
maxRefRank(bb, v) = refRank(bb, _, v, Read(_))
}
/**
* Gets the (1-based) rank of the first reference to `v` inside basic block `bb`
* that is either a read or a certain write.
@@ -185,23 +189,29 @@ newtype TDefinition =
private module SsaDefReaches {
newtype TSsaRefKind =
SsaRead() or
SsaActualRead() or
SsaPhiRead() or
SsaDef()
class SsaRead = SsaActualRead or SsaPhiRead;
/**
* A classification of SSA variable references into reads and definitions.
*/
class SsaRefKind extends TSsaRefKind {
string toString() {
this = SsaRead() and
result = "SsaRead"
this = SsaActualRead() and
result = "SsaActualRead"
or
this = SsaPhiRead() and
result = "SsaPhiRead"
or
this = SsaDef() and
result = "SsaDef"
}
int getOrder() {
this = SsaRead() and
this instanceof SsaRead and
result = 0
or
this = SsaDef() and
@@ -209,6 +219,80 @@ private module SsaDefReaches {
}
}
/**
* Holds if `bb` is in the dominance frontier of a block containing a
* read of `v`.
*/
pragma[nomagic]
private predicate inReadDominanceFrontier(BasicBlock bb, SourceVariable v) {
exists(BasicBlock readbb | inDominanceFrontier(readbb, bb) |
lastRefIsRead(readbb, v)
or
phiRead(readbb, v)
)
}
/**
* Holds if a phi-read node should be inserted for variable `v` at the beginning
* of basic block `bb`.
*
* Phi-read nodes are like normal phi nodes, but they are inserted based on reads
* instead of writes, and only if the dominance-frontier block does not already
* contain a reference (read or write) to `v`. Unlike normal phi nodes, this is
* an internal implementation detail that is not exposed.
*
* The motivation for adding phi-reads is to improve performance of the use-use
* calculation in cases where there is a large number of reads that can reach the
* same join-point, and from there reach a large number of basic blocks. Example:
*
* ```cs
* if (a)
* use(x);
* else if (b)
* use(x);
* else if (c)
* use(x);
* else if (d)
* use(x);
* // many more ifs ...
*
* // phi-read for `x` inserted here
*
* // program not mentioning `x`, with large basic block graph
*
* use(x);
* ```
*
* Without phi-reads, the analysis has to replicate reachability for each of
* the guarded uses of `x`. However, with phi-reads, the analysis will limit
* each conditional use of `x` to reach the basic block containing the phi-read
* node for `x`, and only that basic block will have to compute reachability
* through the remainder of the large program.
*
* Like normal reads, each phi-read node `phi-read` can be reached from exactly
* one SSA definition (without passing through another definition): Assume, for
* the sake of contradiction, that there are two reaching definitions `def1` and
* `def2`. Now, if both `def1` and `def2` dominate `phi-read`, then the nearest
* dominating definition will prevent the other from reaching `phi-read`. So, at
* least one of `def1` and `def2` cannot dominate `phi-read`; assume it is `def1`.
* Then `def1` must go through one of its dominance-frontier blocks in order to
* reach `phi-read`. However, such a block will always start with a (normal) phi
* node, which contradicts reachability.
*
* Also, like normal reads, the unique SSA definition `def` that reaches `phi-read`,
* will dominate `phi-read`. Assuming it doesn't means that the path from `def`
* to `phi-read` goes through a dominance-frontier block, and hence a phi node,
* which contradicts reachability.
*/
pragma[nomagic]
predicate phiRead(BasicBlock bb, SourceVariable v) {
inReadDominanceFrontier(bb, v) and
liveAtEntry(bb, v) and
// only if there are no other references to `v` inside `bb`
not ref(bb, _, v, _) and
not exists(Definition def | def.definesAt(v, bb, _))
}
/**
* Holds if the `i`th node of basic block `bb` is a reference to `v`,
* either a read (when `k` is `SsaRead()`) or an SSA definition (when `k`
@@ -216,11 +300,16 @@ private module SsaDefReaches {
*
* Unlike `Liveness::ref`, this includes `phi` nodes.
*/
pragma[nomagic]
predicate ssaRef(BasicBlock bb, int i, SourceVariable v, SsaRefKind k) {
variableRead(bb, i, v, _) and
k = SsaRead()
k = SsaActualRead()
or
exists(Definition def | def.definesAt(v, bb, i)) and
phiRead(bb, v) and
i = -1 and
k = SsaPhiRead()
or
any(Definition def).definesAt(v, bb, i) and
k = SsaDef()
}
@@ -273,7 +362,7 @@ private module SsaDefReaches {
)
or
ssaDefReachesRank(bb, def, rnk - 1, v) and
rnk = ssaRefRank(bb, _, v, SsaRead())
rnk = ssaRefRank(bb, _, v, any(SsaRead k))
}
/**
@@ -283,7 +372,7 @@ private module SsaDefReaches {
predicate ssaDefReachesReadWithinBlock(SourceVariable v, Definition def, BasicBlock bb, int i) {
exists(int rnk |
ssaDefReachesRank(bb, def, rnk, v) and
rnk = ssaRefRank(bb, i, v, SsaRead())
rnk = ssaRefRank(bb, i, v, any(SsaRead k))
)
}
@@ -309,45 +398,94 @@ private module SsaDefReaches {
ssaDefRank(def, v, bb, i, _) = maxSsaRefRank(bb, v)
}
predicate defOccursInBlock(Definition def, BasicBlock bb, SourceVariable v) {
exists(ssaDefRank(def, v, bb, _, _))
predicate defOccursInBlock(Definition def, BasicBlock bb, SourceVariable v, SsaRefKind k) {
exists(ssaDefRank(def, v, bb, _, k))
}
pragma[noinline]
private predicate ssaDefReachesThroughBlock(Definition def, BasicBlock bb) {
ssaDefReachesEndOfBlock(bb, def, _) and
not defOccursInBlock(_, bb, def.getSourceVariable())
not defOccursInBlock(_, bb, def.getSourceVariable(), _)
}
/**
* Holds if `def` is accessed in basic block `bb1` (either a read or a write),
* `bb2` is a transitive successor of `bb1`, `def` is live at the end of `bb1`,
* and the underlying variable for `def` is neither read nor written in any block
* on the path between `bb1` and `bb2`.
* `bb2` is a transitive successor of `bb1`, `def` is live at the end of _some_
* predecessor of `bb2`, and the underlying variable for `def` is neither read
* nor written in any block on the path between `bb1` and `bb2`.
*
* Phi reads are considered as normal reads for this predicate.
*/
predicate varBlockReaches(Definition def, BasicBlock bb1, BasicBlock bb2) {
defOccursInBlock(def, bb1, _) and
pragma[nomagic]
private predicate varBlockReachesInclPhiRead(Definition def, BasicBlock bb1, BasicBlock bb2) {
defOccursInBlock(def, bb1, _, _) and
bb2 = getABasicBlockSuccessor(bb1)
or
exists(BasicBlock mid |
varBlockReaches(def, bb1, mid) and
varBlockReachesInclPhiRead(def, bb1, mid) and
ssaDefReachesThroughBlock(def, mid) and
bb2 = getABasicBlockSuccessor(mid)
)
}
pragma[nomagic]
private predicate phiReadStep(Definition def, SourceVariable v, BasicBlock bb1, BasicBlock bb2) {
varBlockReachesInclPhiRead(def, bb1, bb2) and
defOccursInBlock(def, bb2, v, SsaPhiRead())
}
pragma[nomagic]
private predicate varBlockReachesExclPhiRead(Definition def, BasicBlock bb1, BasicBlock bb2) {
varBlockReachesInclPhiRead(pragma[only_bind_into](def), bb1, pragma[only_bind_into](bb2)) and
ssaRef(bb2, _, def.getSourceVariable(), [SsaActualRead().(TSsaRefKind), SsaDef()])
or
exists(BasicBlock mid |
varBlockReachesExclPhiRead(def, mid, bb2) and
phiReadStep(def, _, bb1, mid)
)
}
/**
* Holds if `def` is accessed in basic block `bb1` (either a read or a write),
* `def` is read at index `i2` in basic block `bb2`, `bb2` is in a transitive
* successor block of `bb1`, and `def` is neither read nor written in any block
* on a path between `bb1` and `bb2`.
* the underlying variable `v` of `def` is accessed in basic block `bb2`
* (either a read or a write), `bb2` is a transitive successor of `bb1`, and
* `v` is neither read nor written in any block on the path between `bb1`
* and `bb2`.
*/
pragma[nomagic]
predicate varBlockReaches(Definition def, BasicBlock bb1, BasicBlock bb2) {
varBlockReachesExclPhiRead(def, bb1, bb2) and
not defOccursInBlock(def, bb1, _, SsaPhiRead())
}
pragma[nomagic]
predicate defAdjacentRead(Definition def, BasicBlock bb1, BasicBlock bb2, int i2) {
varBlockReaches(def, bb1, bb2) and
ssaRefRank(bb2, i2, def.getSourceVariable(), SsaRead()) = 1
ssaRefRank(bb2, i2, def.getSourceVariable(), SsaActualRead()) = 1
}
/**
* Holds if `def` is accessed in basic block `bb` (either a read or a write),
* `bb1` can reach a transitive successor `bb2` where `def` is no longer live,
* and `v` is neither read nor written in any block on the path between `bb`
* and `bb2`.
*/
pragma[nomagic]
predicate varBlockReachesExit(Definition def, BasicBlock bb) {
exists(BasicBlock bb2 | varBlockReachesInclPhiRead(def, bb, bb2) |
not defOccursInBlock(def, bb2, _, _) and
not ssaDefReachesEndOfBlock(bb2, def, _)
)
or
exists(BasicBlock mid |
varBlockReachesExit(def, mid) and
phiReadStep(def, _, bb, mid)
)
}
}
predicate phiReadExposedForTesting = phiRead/2;
private import SsaDefReaches
pragma[nomagic]
@@ -365,7 +503,8 @@ predicate liveThrough(BasicBlock bb, SourceVariable v) {
*/
pragma[nomagic]
predicate ssaDefReachesEndOfBlock(BasicBlock bb, Definition def, SourceVariable v) {
exists(int last | last = maxSsaRefRank(bb, v) |
exists(int last |
last = maxSsaRefRank(pragma[only_bind_into](bb), pragma[only_bind_into](v)) and
ssaDefReachesRank(bb, def, last, v) and
liveAtExit(bb, v)
)
@@ -405,7 +544,7 @@ pragma[nomagic]
predicate ssaDefReachesRead(SourceVariable v, Definition def, BasicBlock bb, int i) {
ssaDefReachesReadWithinBlock(v, def, bb, i)
or
variableRead(bb, i, v, _) and
ssaRef(bb, i, v, any(SsaRead k)) and
ssaDefReachesEndOfBlock(getABasicBlockPredecessor(bb), def, v) and
not ssaDefReachesReadWithinBlock(v, _, bb, i)
}
@@ -421,7 +560,7 @@ pragma[nomagic]
predicate adjacentDefRead(Definition def, BasicBlock bb1, int i1, BasicBlock bb2, int i2) {
exists(int rnk |
rnk = ssaDefRank(def, _, bb1, i1, _) and
rnk + 1 = ssaDefRank(def, _, bb1, i2, SsaRead()) and
rnk + 1 = ssaDefRank(def, _, bb1, i2, SsaActualRead()) and
variableRead(bb1, i2, _, _) and
bb2 = bb1
)
@@ -538,18 +677,15 @@ predicate lastRefRedefNoUncertainReads(Definition def, BasicBlock bb, int i, Def
*/
pragma[nomagic]
predicate lastRef(Definition def, BasicBlock bb, int i) {
// Can reach another definition
lastRefRedef(def, bb, i, _)
or
lastSsaRef(def, _, bb, i) and
(
exists(SourceVariable v | lastSsaRef(def, v, bb, i) |
// Can reach exit directly
bb instanceof ExitBasicBlock
or
// Can reach a block using one or more steps, where `def` is no longer live
exists(BasicBlock bb2 | varBlockReaches(def, bb, bb2) |
not defOccursInBlock(def, bb2, _) and
not ssaDefReachesEndOfBlock(bb2, def, _)
)
varBlockReachesExit(def, bb)
)
}