// 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 OCALLFUNC, OCALLMETH: fn := asNode(n.Left.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 }