FIR DFA: merge non-conflicting aliases from union flows
E.g. after `f({ x = a }, { x })`, if `f` calls both lambdas in-place,
`x` should be aliased to `a` even though only one path does that.
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+56
-32
@@ -27,12 +27,23 @@ abstract class PersistentLogicSystem(context: ConeInferenceContext) : LogicSyste
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a.lowestCommonAncestor(b) ?: error("no common ancestor in $a, $b")
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}
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val result = commonFlow.fork()
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result.mergeAssignments(flows)
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if (union) {
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result.copyNonConflictingAliases(flows, commonFlow)
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} else {
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result.copyCommonAliases(flows)
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}
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result.copyStatements(flows, commonFlow, union)
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// TODO: compute common implications?
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return result
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}
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private fun MutableFlow.mergeAssignments(flows: Collection<PersistentFlow>) {
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// If a variable was reassigned in one branch, it was reassigned at the join point.
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val reassignedVariables = mutableMapOf<RealVariable, Int>()
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for (flow in flows) {
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for ((variable, index) in flow.assignmentIndex) {
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if (result.assignmentIndex[variable] != index) {
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if (assignmentIndex[variable] != index) {
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// Ideally we should generate an entirely new index here, but it doesn't really
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// matter; the important part is that it's different from `commonFlow.previousFlow`.
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reassignedVariables[variable] = max(index, reassignedVariables[variable] ?: 0)
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@@ -40,27 +51,49 @@ abstract class PersistentLogicSystem(context: ConeInferenceContext) : LogicSyste
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}
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}
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for ((variable, index) in reassignedVariables) {
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recordNewAssignment(result, variable, index)
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recordNewAssignment(this, variable, index)
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}
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}
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// TODO: if `union`, then all aliases from all flows are valid so long as other flows don't have a contradicting one
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private fun MutableFlow.copyCommonAliases(flows: Collection<PersistentFlow>) {
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for ((from, to) in flows.first().directAliasMap) {
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// If `from -> to` is still in `result` (was not removed by the above code), then it is also in all `flows`,
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// If `from -> to` is still in `this` (was not removed by the above code), then it is also in all `flows`,
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// as the only way to break aliasing is by reassignment.
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if (result.directAliasMap[from] != to && flows.all { it.unwrapVariable(from) == to }) {
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if (directAliasMap[from] != to && flows.all { it.unwrapVariable(from) == to }) {
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// if (p) { y = x } else { y = x } <-- after `if`, `y -> x` is in all `flows`, but not in `result`
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// (which was forked from the flow before the `if`)
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addLocalVariableAlias(result, from, to)
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addLocalVariableAlias(this, from, to)
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}
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}
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}
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private fun MutableFlow.copyNonConflictingAliases(flows: Collection<PersistentFlow>, commonFlow: PersistentFlow) {
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val candidates = mutableMapOf<RealVariable, RealVariable?>()
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for (flow in flows) {
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for ((from, to) in flow.directAliasMap) {
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candidates[from] = when {
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// f({ a = b }, { notReassigning() }) -> a = b
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commonFlow.assignmentIndex[from] == flow.assignmentIndex[from] -> continue
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// f({ a = b }, { a = c }) -> a = b or c; can't express that, so just don't
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from in candidates && candidates[from] != to -> null
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// f({ a = b }, { a = b }) -> a = b
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else -> to
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}
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}
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}
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for ((from, to) in candidates) {
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addLocalVariableAlias(this, from, to ?: continue)
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}
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}
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private fun MutableFlow.copyStatements(flows: Collection<PersistentFlow>, commonFlow: PersistentFlow, union: Boolean) {
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flows.flatMapTo(mutableSetOf()) { it.knownVariables }.forEach computeStatement@{ variable ->
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val statement = if (variable in result.directAliasMap) {
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val statement = if (variable in directAliasMap) {
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return@computeStatement // statements about alias == statements about aliased variable
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} else if (!union) {
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// if (condition) { /* x: S1 */ } else { /* x: S2 */ } // -> x: S1 | S2
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or(flows.mapTo(mutableSetOf()) { it.getTypeStatement(variable) ?: return@computeStatement })
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} else if (variable !in reassignedVariables) {
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} else if (assignmentIndex[variable] == commonFlow.assignmentIndex[variable]) {
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// callAllInSomeOrder({ /* x: S1 */ }, { /* x: S2 */ }) // -> x: S1 & S2
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and(flows.mapNotNullTo(mutableSetOf()) { it.getTypeStatement(variable) })
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} else {
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@@ -78,19 +111,19 @@ abstract class PersistentLogicSystem(context: ConeInferenceContext) : LogicSyste
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or(byAssignment.values.mapTo(mutableSetOf()) { and(it.filterNotNull()) ?: return@computeStatement })
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}
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if (statement?.isNotEmpty == true) {
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result.approvedTypeStatements[variable] = statement.toPersistent()
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approvedTypeStatements[variable] = statement.toPersistent()
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}
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}
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// TODO: compute common implications?
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return result
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}
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override fun addLocalVariableAlias(flow: MutableFlow, alias: RealVariable, underlyingVariable: RealVariable) {
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flow.addAliases(persistentSetOf(alias), flow.unwrapVariable(underlyingVariable))
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if (underlyingVariable == alias) return // x = x
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flow.directAliasMap[alias] = underlyingVariable
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flow.backwardsAliasMap[underlyingVariable] = flow.backwardsAliasMap[underlyingVariable]?.add(alias) ?: persistentSetOf(alias)
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}
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private fun MutableFlow.replaceVariable(variable: RealVariable, replacement: RealVariable?) {
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val original = directAliasMap[variable]
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val original = directAliasMap.remove(variable)
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if (original != null) {
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// All statements should've been made about whatever variable this is an alias to. There is nothing to replace.
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if (AbstractTypeChecker.RUN_SLOW_ASSERTIONS) {
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@@ -100,11 +133,9 @@ abstract class PersistentLogicSystem(context: ConeInferenceContext) : LogicSyste
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}
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// `variable.dependentVariables` is not separated by flow, so it may be non-empty if aliasing of this variable
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// was broken in another flow. However, in *this* flow dependent variables should have no information attached to them.
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val siblings = backwardsAliasMap.getValue(original).remove(variable)
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directAliasMap.remove(variable)
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if (siblings.isNotEmpty()) {
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backwardsAliasMap[original] = siblings
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val siblings = backwardsAliasMap.getValue(original)
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if (siblings.size > 1) {
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backwardsAliasMap[original] = siblings.remove(variable)
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} else {
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backwardsAliasMap.remove(original)
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}
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@@ -112,7 +143,7 @@ abstract class PersistentLogicSystem(context: ConeInferenceContext) : LogicSyste
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addLocalVariableAlias(this, replacement, original)
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}
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} else {
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val aliases = backwardsAliasMap[variable]
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val aliases = backwardsAliasMap.remove(variable)
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// If asked to remove the variable but there are aliases, replace with a new representative for the alias group instead.
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val replacementOrNext = replacement ?: aliases?.first()
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for (dependent in variable.dependentVariables) {
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@@ -122,24 +153,17 @@ abstract class PersistentLogicSystem(context: ConeInferenceContext) : LogicSyste
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}
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logicStatements.replaceVariable(variable, replacementOrNext)
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approvedTypeStatements.replaceVariable(variable, replacementOrNext)
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if (aliases != null) {
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backwardsAliasMap -= variable
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if (replacementOrNext != null) {
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directAliasMap -= replacementOrNext
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addAliases(aliases, replacementOrNext)
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if (aliases != null && replacementOrNext != null) {
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directAliasMap -= replacementOrNext
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val withoutSelf = aliases - replacementOrNext
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if (withoutSelf.isNotEmpty()) {
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withoutSelf.associateWithTo(directAliasMap) { replacementOrNext }
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backwardsAliasMap[replacementOrNext] = backwardsAliasMap[replacementOrNext]?.addAll(withoutSelf) ?: withoutSelf
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}
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}
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}
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}
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private fun MutableFlow.addAliases(aliases: PersistentSet<RealVariable>, target: RealVariable) {
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val withoutSelf = aliases - target
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if (withoutSelf.isNotEmpty()) {
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withoutSelf.associateWithTo(directAliasMap) { target }
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backwardsAliasMap[target] = backwardsAliasMap[target]?.addAll(withoutSelf) ?: withoutSelf
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}
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}
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override fun addTypeStatement(flow: MutableFlow, statement: TypeStatement): TypeStatement? {
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if (statement.exactType.isEmpty()) return null
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val variable = statement.variable
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