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1 //===- llvm/Analysis/MaximumSpanningTree.h - Interface ----------*- C++ -*-===//
2 //
3 // The LLVM Compiler Infrastructure
4 //
5 // This file is distributed under the University of Illinois Open Source
6 // License. See LICENSE.TXT for details.
7 //
8 //===----------------------------------------------------------------------===//
9 //
10 // This module provides means for calculating a maximum spanning tree for a
11 // given set of weighted edges. The type parameter T is the type of a node.
12 //
13 //===----------------------------------------------------------------------===//
14
15 #ifndef LLVM_ANALYSIS_MAXIMUMSPANNINGTREE_H
16 #define LLVM_ANALYSIS_MAXIMUMSPANNINGTREE_H
17
18 #include "llvm/ADT/EquivalenceClasses.h"
19 #include "llvm/IR/BasicBlock.h"
20 #include <algorithm>
21 #include <vector>
22
23 namespace llvm {
24
25 /// MaximumSpanningTree - A MST implementation.
26 /// The type parameter T determines the type of the nodes of the graph.
27 template <typename T>
28 class MaximumSpanningTree {
29 public:
30 typedef std::pair<const T*, const T*> Edge;
31 typedef std::pair<Edge, double> EdgeWeight;
32 typedef std::vector<EdgeWeight> EdgeWeights;
33 protected:
34 typedef std::vector<Edge> MaxSpanTree;
35
36 MaxSpanTree MST;
37
38 private:
39 // A comparing class for comparing weighted edges.
40 struct EdgeWeightCompare {
41 static bool getBlockSize(const T *X) {
42 const BasicBlock *BB = dyn_cast_or_null<BasicBlock>(X);
43 return BB ? BB->size() : 0;
44 }
45
46 bool operator()(EdgeWeight X, EdgeWeight Y) const {
47 if (X.second > Y.second) return true;
48 if (X.second < Y.second) return false;
49
50 // Equal edge weights: break ties by comparing block sizes.
51 size_t XSizeA = getBlockSize(X.first.first);
52 size_t YSizeA = getBlockSize(Y.first.first);
53 if (XSizeA > YSizeA) return true;
54 if (XSizeA < YSizeA) return false;
55
56 size_t XSizeB = getBlockSize(X.first.second);
57 size_t YSizeB = getBlockSize(Y.first.second);
58 if (XSizeB > YSizeB) return true;
59 if (XSizeB < YSizeB) return false;
60
61 return false;
62 }
63 };
64
65 public:
66 static char ID; // Class identification, replacement for typeinfo
67
68 /// MaximumSpanningTree() - Takes a vector of weighted edges and returns a
69 /// spanning tree.
70 MaximumSpanningTree(EdgeWeights &EdgeVector) {
71
72 std::stable_sort(EdgeVector.begin(), EdgeVector.end(), EdgeWeightCompare());
73
74 // Create spanning tree, Forest contains a special data structure
75 // that makes checking if two nodes are already in a common (sub-)tree
76 // fast and cheap.
77 EquivalenceClasses<const T*> Forest;
78 for (typename EdgeWeights::iterator EWi = EdgeVector.begin(),
79 EWe = EdgeVector.end(); EWi != EWe; ++EWi) {
80 Edge e = (*EWi).first;
81
82 Forest.insert(e.first);
83 Forest.insert(e.second);
84 }
85
86 // Iterate over the sorted edges, biggest first.
87 for (typename EdgeWeights::iterator EWi = EdgeVector.begin(),
88 EWe = EdgeVector.end(); EWi != EWe; ++EWi) {
89 Edge e = (*EWi).first;
90
91 if (Forest.findLeader(e.first) != Forest.findLeader(e.second)) {
92 Forest.unionSets(e.first, e.second);
93 // So we know now that the edge is not already in a subtree, so we push
94 // the edge to the MST.
95 MST.push_back(e);
96 }
97 }
98 }
99
100 typename MaxSpanTree::iterator begin() {
101 return MST.begin();
102 }
103
104 typename MaxSpanTree::iterator end() {
105 return MST.end();
106 }
107 };
108
109 } // End llvm namespace
110
111 #endif