// 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 ir // 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 closure function (fn.IsClosure()) 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([]*Func, bool) visitgen uint32 nodeID map[*Func]uint32 stack []*Func } // VisitFuncsBottomUp 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 VisitFuncsBottomUp(list []*Func, analyze func(list []*Func, recursive bool)) { var v bottomUpVisitor v.analyze = analyze v.nodeID = make(map[*Func]uint32) for _, n := range list { if !n.IsClosure() { v.visit(n) } } } func (v *bottomUpVisitor) visit(n *Func) 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) do := func(defn Node) { if defn != nil { if m := v.visit(defn.(*Func)); m < min { min = m } } } Visit(n, func(n Node) { switch n.Op() { case ONAME: if n := n.(*Name); n.Class == PFUNC { do(n.Defn) } case ODOTMETH, OMETHVALUE, OMETHEXPR: if fn := MethodExprName(n); fn != nil { do(fn.Defn) } case OCLOSURE: n := n.(*ClosureExpr) do(n.Func) } }) if (min == id || min == id+1) && !n.IsClosure() { // This node is the root of a strongly connected component. // The original min was id+1. If the bottomUpVisitor found its way // back to id, 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 and mark v.nodeID so that future // visits return a large number, which will not affect the caller's min. var i int for i = len(v.stack) - 1; i >= 0; i-- { x := v.stack[i] v.nodeID[x] = ^uint32(0) if x == n { break } } block := v.stack[i:] // Call analyze on this set of functions. v.stack = v.stack[:i] v.analyze(block, recursive) } return min }