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+// Copyright 2011 The Go Authors. All rights reserved.
+// Use of this source code is governed by a BSD-style
+// license that can be found in the LICENSE file.
+
+package gc
+
+// Strongly connected components.
+//
+// Run analysis on minimal sets of mutually recursive functions
+// or single non-recursive functions, bottom up.
+//
+// Finding these sets is finding strongly connected components
+// by reverse topological order in the static call graph.
+// The algorithm (known as Tarjan's algorithm) for doing that is taken from
+// Sedgewick, Algorithms, Second Edition, p. 482, with two adaptations.
+//
+// First, a hidden closure function (n.Func.IsHiddenClosure()) cannot be the
+// root of a connected component. Refusing to use it as a root
+// forces it into the component of the function in which it appears.
+// This is more convenient for escape analysis.
+//
+// Second, each function becomes two virtual nodes in the graph,
+// with numbers n and n+1. We record the function's node number as n
+// but search from node n+1. If the search tells us that the component
+// number (min) is n+1, we know that this is a trivial component: one function
+// plus its closures. If the search tells us that the component number is
+// n, then there was a path from node n+1 back to node n, meaning that
+// the function set is mutually recursive. The escape analysis can be
+// more precise when analyzing a single non-recursive function than
+// when analyzing a set of mutually recursive functions.
+
+type bottomUpVisitor struct {
+ analyze func([]*Node, bool)
+ visitgen uint32
+ nodeID map[*Node]uint32
+ stack []*Node
+}
+
+// visitBottomUp invokes analyze on the ODCLFUNC nodes listed in list.
+// It calls analyze with successive groups of functions, working from
+// the bottom of the call graph upward. Each time analyze is called with
+// a list of functions, every function on that list only calls other functions
+// on the list or functions that have been passed in previous invocations of
+// analyze. Closures appear in the same list as their outer functions.
+// The lists are as short as possible while preserving those requirements.
+// (In a typical program, many invocations of analyze will be passed just
+// a single function.) The boolean argument 'recursive' passed to analyze
+// specifies whether the functions on the list are mutually recursive.
+// If recursive is false, the list consists of only a single function and its closures.
+// If recursive is true, the list may still contain only a single function,
+// if that function is itself recursive.
+func visitBottomUp(list []*Node, analyze func(list []*Node, recursive bool)) {
+ var v bottomUpVisitor
+ v.analyze = analyze
+ v.nodeID = make(map[*Node]uint32)
+ for _, n := range list {
+ if n.Op == ODCLFUNC && !n.Func.IsHiddenClosure() {
+ v.visit(n)
+ }
+ }
+}
+
+func (v *bottomUpVisitor) visit(n *Node) uint32 {
+ if id := v.nodeID[n]; id > 0 {
+ // already visited
+ return id
+ }
+
+ v.visitgen++
+ id := v.visitgen
+ v.nodeID[n] = id
+ v.visitgen++
+ min := v.visitgen
+ v.stack = append(v.stack, n)
+
+ inspectList(n.Nbody, func(n *Node) bool {
+ switch n.Op {
+ case ONAME:
+ if n.Class() == PFUNC {
+ if n.isMethodExpression() {
+ n = asNode(n.Type.Nname())
+ }
+ if n != nil && n.Name.Defn != nil {
+ if m := v.visit(n.Name.Defn); m < min {
+ min = m
+ }
+ }
+ }
+ case ODOTMETH:
+ fn := asNode(n.Type.Nname())
+ if fn != nil && fn.Op == ONAME && fn.Class() == PFUNC && fn.Name.Defn != nil {
+ if m := v.visit(fn.Name.Defn); m < min {
+ min = m
+ }
+ }
+ case OCALLPART:
+ fn := asNode(callpartMethod(n).Type.Nname())
+ if fn != nil && fn.Op == ONAME && fn.Class() == PFUNC && fn.Name.Defn != nil {
+ if m := v.visit(fn.Name.Defn); m < min {
+ min = m
+ }
+ }
+ case OCLOSURE:
+ if m := v.visit(n.Func.Closure); m < min {
+ min = m
+ }
+ }
+ return true
+ })
+
+ if (min == id || min == id+1) && !n.Func.IsHiddenClosure() {
+ // This node is the root of a strongly connected component.
+
+ // The original min passed to visitcodelist was v.nodeID[n]+1.
+ // If visitcodelist found its way back to v.nodeID[n], then this
+ // block is a set of mutually recursive functions.
+ // Otherwise it's just a lone function that does not recurse.
+ recursive := min == id
+
+ // Remove connected component from stack.
+ // Mark walkgen so that future visits return a large number
+ // so as not to affect the caller's min.
+
+ var i int
+ for i = len(v.stack) - 1; i >= 0; i-- {
+ x := v.stack[i]
+ if x == n {
+ break
+ }
+ v.nodeID[x] = ^uint32(0)
+ }
+ v.nodeID[n] = ^uint32(0)
+ block := v.stack[i:]
+ // Run escape analysis on this set of functions.
+ v.stack = v.stack[:i]
+ v.analyze(block, recursive)
+ }
+
+ return min
+}