packer/internal/dag/tarjan.go
Lucas Bajolet 673c13ebe7 internal: add dag package
The dag package is a port over from Terraform to Packer, changing what
little there was to fit our current dependency ecosystem.
Most of the changes are on the type of diagnostics returned, as
Terraform has its own type for them, while we rely on hcl's Diagnostics.

Other than that, the functionality is essentially equivalent, and the
code was barely touched.
2024-10-29 16:10:29 -04:00

103 lines
2.2 KiB
Go

// Copyright (c) HashiCorp, Inc.
// SPDX-License-Identifier: BUSL-1.1
package dag
// StronglyConnected returns the list of strongly connected components
// within the Graph g. This information is primarily used by this package
// for cycle detection, but strongly connected components have widespread
// use.
func StronglyConnected(g *Graph) [][]Vertex {
vs := g.Vertices()
acct := sccAcct{
NextIndex: 1,
VertexIndex: make(map[Vertex]int, len(vs)),
}
for _, v := range vs {
// Recurse on any non-visited nodes
if acct.VertexIndex[v] == 0 {
stronglyConnected(&acct, g, v)
}
}
return acct.SCC
}
func stronglyConnected(acct *sccAcct, g *Graph, v Vertex) int {
// Initial vertex visit
index := acct.visit(v)
minIdx := index
for _, raw := range g.downEdgesNoCopy(v) {
target := raw.(Vertex)
targetIdx := acct.VertexIndex[target]
// Recurse on successor if not yet visited
if targetIdx == 0 {
minIdx = min(minIdx, stronglyConnected(acct, g, target))
} else if acct.inStack(target) {
// Check if the vertex is in the stack
minIdx = min(minIdx, targetIdx)
}
}
// Pop the strongly connected components off the stack if
// this is a root vertex
if index == minIdx {
var scc []Vertex
for {
v2 := acct.pop()
scc = append(scc, v2)
if v2 == v {
break
}
}
acct.SCC = append(acct.SCC, scc)
}
return minIdx
}
// sccAcct is used ot pass around accounting information for
// the StronglyConnectedComponents algorithm
type sccAcct struct {
NextIndex int
VertexIndex map[Vertex]int
Stack []Vertex
SCC [][]Vertex
}
// visit assigns an index and pushes a vertex onto the stack
func (s *sccAcct) visit(v Vertex) int {
idx := s.NextIndex
s.VertexIndex[v] = idx
s.NextIndex++
s.push(v)
return idx
}
// push adds a vertex to the stack
func (s *sccAcct) push(n Vertex) {
s.Stack = append(s.Stack, n)
}
// pop removes a vertex from the stack
func (s *sccAcct) pop() Vertex {
n := len(s.Stack)
if n == 0 {
return nil
}
vertex := s.Stack[n-1]
s.Stack = s.Stack[:n-1]
return vertex
}
// inStack checks if a vertex is in the stack
func (s *sccAcct) inStack(needle Vertex) bool {
for _, n := range s.Stack {
if n == needle {
return true
}
}
return false
}