package topo import ( "fmt" "strings" "github.com/Jguer/yay/v11/pkg/text" ) type ( NodeSet[T comparable] map[T]bool DepMap[T comparable] map[T]NodeSet[T] ) type NodeInfo[V any] struct { Color string Background string Value V } type CheckFn[T comparable, V any] func(T, V) error type Graph[T comparable, V any] struct { nodes NodeSet[T] // node info map nodeInfo map[T]*NodeInfo[V] // `dependencies` tracks child -> parents. dependencies DepMap[T] // `dependents` tracks parent -> children. dependents DepMap[T] } func New[T comparable, V any]() *Graph[T, V] { return &Graph[T, V]{ nodes: make(NodeSet[T]), dependencies: make(DepMap[T]), dependents: make(DepMap[T]), nodeInfo: make(map[T]*NodeInfo[V]), } } func (g *Graph[T, V]) Len() int { return len(g.nodes) } func (g *Graph[T, V]) Exists(node T) bool { _, ok := g.nodes[node] return ok } func (g *Graph[T, V]) AddNode(node T) { g.nodes[node] = true } func (g *Graph[T, V]) ForEach(f CheckFn[T, V]) error { for node := range g.nodes { if err := f(node, g.nodeInfo[node].Value); err != nil { return err } } return nil } func (g *Graph[T, V]) SetNodeInfo(node T, nodeInfo *NodeInfo[V]) { g.nodeInfo[node] = nodeInfo } func (g *Graph[T, V]) GetNodeInfo(node T) *NodeInfo[V] { return g.nodeInfo[node] } func (g *Graph[T, V]) DependOn(child, parent T) error { if child == parent { return ErrSelfReferential } if g.DependsOn(parent, child) { return ErrCircular } g.AddNode(parent) g.AddNode(child) // Add nodes. g.nodes[parent] = true g.nodes[child] = true // Add edges. g.dependents.addNodeToNodeset(parent, child) g.dependencies.addNodeToNodeset(child, parent) return nil } func (g *Graph[T, V]) String() string { var sb strings.Builder sb.WriteString("digraph {\n") sb.WriteString("compound=true;\n") sb.WriteString("concentrate=true;\n") sb.WriteString("node [shape = record, ordering=out];\n") for node := range g.nodes { extra := "" if info, ok := g.nodeInfo[node]; ok { if info.Background != "" || info.Color != "" { extra = fmt.Sprintf("[color = %s, style = filled, fillcolor = %s]", info.Color, info.Background) } } sb.WriteString(fmt.Sprintf("\t\"%v\"%s;\n", node, extra)) } for parent, children := range g.dependencies { for child := range children { sb.WriteString(fmt.Sprintf("\t\"%v\" -> \"%v\";\n", parent, child)) } } sb.WriteString("}") return sb.String() } func (g *Graph[T, V]) DependsOn(child, parent T) bool { deps := g.Dependencies(child) _, ok := deps[parent] return ok } func (g *Graph[T, V]) HasDependent(parent, child T) bool { deps := g.Dependents(parent) _, ok := deps[child] return ok } // leavesMap returns a map of leaves with the node as key and the node info value as value. func (g *Graph[T, V]) leavesMap() map[T]V { leaves := make(map[T]V, 0) for node := range g.nodes { if _, ok := g.dependencies[node]; !ok { nodeInfo := g.GetNodeInfo(node) if nodeInfo == nil { nodeInfo = &NodeInfo[V]{} } leaves[node] = nodeInfo.Value } } return leaves } // TopoSortedLayerMap returns a slice of all of the graph nodes in topological sort order with their node info. func (g *Graph[T, V]) TopoSortedLayerMap(checkFn CheckFn[T, V]) []map[T]V { layers := []map[T]V{} // Copy the graph shrinkingGraph := g.clone() for { leaves := shrinkingGraph.leavesMap() if len(leaves) == 0 { break } layers = append(layers, leaves) for leafNode := range leaves { if checkFn != nil { if err := checkFn(leafNode, leaves[leafNode]); err != nil { return nil } } shrinkingGraph.remove(leafNode) } } return layers } // returns if it was the last func (dm DepMap[T]) removeFromDepmap(key, node T) bool { if nodes := dm[key]; len(nodes) == 1 { // The only element in the nodeset must be `node`, so we // can delete the entry entirely. delete(dm, key) return true } else { // Otherwise, remove the single node from the nodeset. delete(nodes, node) return false } } // Prune removes the node, // its dependencies if there are no other dependents // and its dependents func (g *Graph[T, V]) Prune(node T) []T { pruned := []T{node} // Remove edges from things that depend on `node`. for dependent := range g.dependents[node] { last := g.dependencies.removeFromDepmap(dependent, node) text.Debugln("pruning dependent", dependent, last) if last { pruned = append(pruned, g.Prune(dependent)...) } } delete(g.dependents, node) // Remove all edges from node to the things it depends on. for dependency := range g.dependencies[node] { last := g.dependents.removeFromDepmap(dependency, node) text.Debugln("pruning dependency", dependency, last) if last { pruned = append(pruned, g.Prune(dependency)...) } } delete(g.dependencies, node) // Finally, remove the node itself. delete(g.nodes, node) return pruned } func (g *Graph[T, V]) remove(node T) { // Remove edges from things that depend on `node`. for dependent := range g.dependents[node] { g.dependencies.removeFromDepmap(dependent, node) } delete(g.dependents, node) // Remove all edges from node to the things it depends on. for dependency := range g.dependencies[node] { g.dependents.removeFromDepmap(dependency, node) } delete(g.dependencies, node) // Finally, remove the node itself. delete(g.nodes, node) } func (g *Graph[T, V]) Dependencies(child T) NodeSet[T] { return g.buildTransitive(child, g.immediateDependencies) } func (g *Graph[T, V]) immediateDependencies(node T) NodeSet[T] { return g.dependencies[node] } func (g *Graph[T, V]) Dependents(parent T) NodeSet[T] { return g.buildTransitive(parent, g.immediateDependents) } func (g *Graph[T, V]) immediateDependents(node T) NodeSet[T] { return g.dependents[node] } func (g *Graph[T, V]) clone() *Graph[T, V] { return &Graph[T, V]{ dependencies: g.dependencies.copy(), dependents: g.dependents.copy(), nodes: g.nodes.copy(), nodeInfo: g.nodeInfo, // not copied, as it is not modified } } // buildTransitive starts at `root` and continues calling `nextFn` to keep discovering more nodes until // the graph cannot produce any more. It returns the set of all discovered nodes. func (g *Graph[T, V]) buildTransitive(root T, nextFn func(T) NodeSet[T]) NodeSet[T] { if _, ok := g.nodes[root]; !ok { return nil } out := make(NodeSet[T]) searchNext := []T{root} for len(searchNext) > 0 { // List of new nodes from this layer of the dependency graph. This is // assigned to `searchNext` at the end of the outer "discovery" loop. discovered := []T{} for _, node := range searchNext { // For each node to discover, find the next nodes. for nextNode := range nextFn(node) { // If we have not seen the node before, add it to the output as well // as the list of nodes to traverse in the next iteration. if _, ok := out[nextNode]; !ok { out[nextNode] = true discovered = append(discovered, nextNode) } } } searchNext = discovered } return out } func (s NodeSet[T]) copy() NodeSet[T] { out := make(NodeSet[T], len(s)) for k, v := range s { out[k] = v } return out } func (dm DepMap[T]) copy() DepMap[T] { out := make(DepMap[T], len(dm)) for k := range dm { out[k] = dm[k].copy() } return out } func (dm DepMap[T]) addNodeToNodeset(key, node T) { nodes, ok := dm[key] if !ok { nodes = make(NodeSet[T]) dm[key] = nodes } nodes[node] = true }