// Copyright 2013 The Go Authors. All rights reserved.
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// Use of this source code is governed by a BSD-style
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// license that can be found in the LICENSE file.
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package pointer
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// This file defines a naive Andersen-style solver for the inclusion
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// constraint system.
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import (
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"fmt"
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"go/types"
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)
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type solverState struct {
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complex []constraint // complex constraints attached to this node
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copyTo nodeset // simple copy constraint edges
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pts nodeset // points-to set of this node
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prevPTS nodeset // pts(n) in previous iteration (for difference propagation)
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}
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func (a *analysis) solve() {
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start("Solving")
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if a.log != nil {
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fmt.Fprintf(a.log, "\n\n==== Solving constraints\n\n")
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}
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// Solver main loop.
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var delta nodeset
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for {
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// Add new constraints to the graph:
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// static constraints from SSA on round 1,
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// dynamic constraints from reflection thereafter.
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a.processNewConstraints()
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var x int
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if !a.work.TakeMin(&x) {
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break // empty
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}
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id := nodeid(x)
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if a.log != nil {
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fmt.Fprintf(a.log, "\tnode n%d\n", id)
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}
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n := a.nodes[id]
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// Difference propagation.
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delta.Difference(&n.solve.pts.Sparse, &n.solve.prevPTS.Sparse)
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if delta.IsEmpty() {
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continue
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}
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if a.log != nil {
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fmt.Fprintf(a.log, "\t\tpts(n%d : %s) = %s + %s\n",
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id, n.typ, &delta, &n.solve.prevPTS)
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}
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n.solve.prevPTS.Copy(&n.solve.pts.Sparse)
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// Apply all resolution rules attached to n.
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a.solveConstraints(n, &delta)
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if a.log != nil {
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fmt.Fprintf(a.log, "\t\tpts(n%d) = %s\n", id, &n.solve.pts)
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}
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}
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if !a.nodes[0].solve.pts.IsEmpty() {
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panic(fmt.Sprintf("pts(0) is nonempty: %s", &a.nodes[0].solve.pts))
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}
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// Release working state (but keep final PTS).
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for _, n := range a.nodes {
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n.solve.complex = nil
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n.solve.copyTo.Clear()
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n.solve.prevPTS.Clear()
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}
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if a.log != nil {
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fmt.Fprintf(a.log, "Solver done\n")
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// Dump solution.
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for i, n := range a.nodes {
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if !n.solve.pts.IsEmpty() {
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fmt.Fprintf(a.log, "pts(n%d) = %s : %s\n", i, &n.solve.pts, n.typ)
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}
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}
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}
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stop("Solving")
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}
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// processNewConstraints takes the new constraints from a.constraints
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// and adds them to the graph, ensuring
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// that new constraints are applied to pre-existing labels and
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// that pre-existing constraints are applied to new labels.
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//
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func (a *analysis) processNewConstraints() {
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// Take the slice of new constraints.
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// (May grow during call to solveConstraints.)
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constraints := a.constraints
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a.constraints = nil
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// Initialize points-to sets from addr-of (base) constraints.
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for _, c := range constraints {
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if c, ok := c.(*addrConstraint); ok {
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dst := a.nodes[c.dst]
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dst.solve.pts.add(c.src)
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// Populate the worklist with nodes that point to
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// something initially (due to addrConstraints) and
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// have other constraints attached.
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// (A no-op in round 1.)
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if !dst.solve.copyTo.IsEmpty() || len(dst.solve.complex) > 0 {
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a.addWork(c.dst)
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}
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}
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}
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// Attach simple (copy) and complex constraints to nodes.
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var stale nodeset
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for _, c := range constraints {
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var id nodeid
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switch c := c.(type) {
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case *addrConstraint:
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// base constraints handled in previous loop
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continue
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case *copyConstraint:
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// simple (copy) constraint
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id = c.src
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a.nodes[id].solve.copyTo.add(c.dst)
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default:
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// complex constraint
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id = c.ptr()
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solve := a.nodes[id].solve
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solve.complex = append(solve.complex, c)
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}
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if n := a.nodes[id]; !n.solve.pts.IsEmpty() {
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if !n.solve.prevPTS.IsEmpty() {
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stale.add(id)
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}
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a.addWork(id)
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}
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}
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// Apply new constraints to pre-existing PTS labels.
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var space [50]int
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for _, id := range stale.AppendTo(space[:0]) {
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n := a.nodes[nodeid(id)]
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a.solveConstraints(n, &n.solve.prevPTS)
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}
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}
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// solveConstraints applies each resolution rule attached to node n to
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// the set of labels delta. It may generate new constraints in
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// a.constraints.
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//
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func (a *analysis) solveConstraints(n *node, delta *nodeset) {
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if delta.IsEmpty() {
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return
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}
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// Process complex constraints dependent on n.
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for _, c := range n.solve.complex {
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if a.log != nil {
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fmt.Fprintf(a.log, "\t\tconstraint %s\n", c)
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}
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c.solve(a, delta)
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}
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// Process copy constraints.
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var copySeen nodeset
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for _, x := range n.solve.copyTo.AppendTo(a.deltaSpace) {
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mid := nodeid(x)
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if copySeen.add(mid) {
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if a.nodes[mid].solve.pts.addAll(delta) {
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a.addWork(mid)
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}
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}
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}
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}
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// addLabel adds label to the points-to set of ptr and reports whether the set grew.
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func (a *analysis) addLabel(ptr, label nodeid) bool {
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b := a.nodes[ptr].solve.pts.add(label)
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if b && a.log != nil {
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fmt.Fprintf(a.log, "\t\tpts(n%d) += n%d\n", ptr, label)
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}
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return b
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}
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func (a *analysis) addWork(id nodeid) {
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a.work.Insert(int(id))
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if a.log != nil {
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fmt.Fprintf(a.log, "\t\twork: n%d\n", id)
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}
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}
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// onlineCopy adds a copy edge. It is called online, i.e. during
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// solving, so it adds edges and pts members directly rather than by
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// instantiating a 'constraint'.
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//
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// The size of the copy is implicitly 1.
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// It returns true if pts(dst) changed.
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//
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func (a *analysis) onlineCopy(dst, src nodeid) bool {
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if dst != src {
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if nsrc := a.nodes[src]; nsrc.solve.copyTo.add(dst) {
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if a.log != nil {
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fmt.Fprintf(a.log, "\t\t\tdynamic copy n%d <- n%d\n", dst, src)
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}
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// TODO(adonovan): most calls to onlineCopy
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// are followed by addWork, possibly batched
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// via a 'changed' flag; see if there's a
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// noticeable penalty to calling addWork here.
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return a.nodes[dst].solve.pts.addAll(&nsrc.solve.pts)
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}
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}
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return false
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}
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// Returns sizeof.
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// Implicitly adds nodes to worklist.
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//
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// TODO(adonovan): now that we support a.copy() during solving, we
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// could eliminate onlineCopyN, but it's much slower. Investigate.
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//
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func (a *analysis) onlineCopyN(dst, src nodeid, sizeof uint32) uint32 {
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for i := uint32(0); i < sizeof; i++ {
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if a.onlineCopy(dst, src) {
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a.addWork(dst)
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}
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src++
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dst++
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}
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return sizeof
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}
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func (c *loadConstraint) solve(a *analysis, delta *nodeset) {
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var changed bool
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for _, x := range delta.AppendTo(a.deltaSpace) {
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k := nodeid(x)
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koff := k + nodeid(c.offset)
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if a.onlineCopy(c.dst, koff) {
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changed = true
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}
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}
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if changed {
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a.addWork(c.dst)
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}
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}
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func (c *storeConstraint) solve(a *analysis, delta *nodeset) {
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for _, x := range delta.AppendTo(a.deltaSpace) {
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k := nodeid(x)
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koff := k + nodeid(c.offset)
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if a.onlineCopy(koff, c.src) {
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a.addWork(koff)
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}
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}
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}
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func (c *offsetAddrConstraint) solve(a *analysis, delta *nodeset) {
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dst := a.nodes[c.dst]
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for _, x := range delta.AppendTo(a.deltaSpace) {
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k := nodeid(x)
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if dst.solve.pts.add(k + nodeid(c.offset)) {
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a.addWork(c.dst)
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}
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}
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}
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func (c *typeFilterConstraint) solve(a *analysis, delta *nodeset) {
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for _, x := range delta.AppendTo(a.deltaSpace) {
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ifaceObj := nodeid(x)
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tDyn, _, indirect := a.taggedValue(ifaceObj)
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if indirect {
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// TODO(adonovan): we'll need to implement this
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// when we start creating indirect tagged objects.
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panic("indirect tagged object")
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}
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if types.AssignableTo(tDyn, c.typ) {
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if a.addLabel(c.dst, ifaceObj) {
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a.addWork(c.dst)
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}
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}
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}
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}
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func (c *untagConstraint) solve(a *analysis, delta *nodeset) {
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predicate := types.AssignableTo
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if c.exact {
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predicate = types.Identical
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}
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for _, x := range delta.AppendTo(a.deltaSpace) {
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ifaceObj := nodeid(x)
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tDyn, v, indirect := a.taggedValue(ifaceObj)
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if indirect {
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// TODO(adonovan): we'll need to implement this
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// when we start creating indirect tagged objects.
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panic("indirect tagged object")
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}
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if predicate(tDyn, c.typ) {
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// Copy payload sans tag to dst.
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//
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// TODO(adonovan): opt: if tDyn is
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// nonpointerlike we can skip this entire
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// constraint, perhaps. We only care about
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// pointers among the fields.
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a.onlineCopyN(c.dst, v, a.sizeof(tDyn))
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}
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}
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}
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func (c *invokeConstraint) solve(a *analysis, delta *nodeset) {
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for _, x := range delta.AppendTo(a.deltaSpace) {
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ifaceObj := nodeid(x)
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tDyn, v, indirect := a.taggedValue(ifaceObj)
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if indirect {
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// TODO(adonovan): we may need to implement this if
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// we ever apply invokeConstraints to reflect.Value PTSs,
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// e.g. for (reflect.Value).Call.
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panic("indirect tagged object")
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}
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// Look up the concrete method.
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fn := a.prog.LookupMethod(tDyn, c.method.Pkg(), c.method.Name())
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if fn == nil {
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panic(fmt.Sprintf("n%d: no ssa.Function for %s", c.iface, c.method))
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}
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sig := fn.Signature
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fnObj := a.globalobj[fn] // dynamic calls use shared contour
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if fnObj == 0 {
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// a.objectNode(fn) was not called during gen phase.
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panic(fmt.Sprintf("a.globalobj[%s]==nil", fn))
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}
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// Make callsite's fn variable point to identity of
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// concrete method. (There's no need to add it to
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// worklist since it never has attached constraints.)
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a.addLabel(c.params, fnObj)
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// Extract value and connect to method's receiver.
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// Copy payload to method's receiver param (arg0).
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arg0 := a.funcParams(fnObj)
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recvSize := a.sizeof(sig.Recv().Type())
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a.onlineCopyN(arg0, v, recvSize)
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src := c.params + 1 // skip past identity
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dst := arg0 + nodeid(recvSize)
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// Copy caller's argument block to method formal parameters.
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paramsSize := a.sizeof(sig.Params())
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a.onlineCopyN(dst, src, paramsSize)
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src += nodeid(paramsSize)
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dst += nodeid(paramsSize)
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// Copy method results to caller's result block.
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resultsSize := a.sizeof(sig.Results())
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a.onlineCopyN(src, dst, resultsSize)
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}
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}
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func (c *addrConstraint) solve(a *analysis, delta *nodeset) {
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panic("addr is not a complex constraint")
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}
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func (c *copyConstraint) solve(a *analysis, delta *nodeset) {
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panic("copy is not a complex constraint")
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}
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