1198090Srdivacky//===- llvm/Analysis/MaximumSpanningTree.h - Interface ----------*- C++ -*-===//
2198090Srdivacky//
3353358Sdim// Part of the LLVM Project, under the Apache License v2.0 with LLVM Exceptions.
4353358Sdim// See https://llvm.org/LICENSE.txt for license information.
5353358Sdim// SPDX-License-Identifier: Apache-2.0 WITH LLVM-exception
6198090Srdivacky//
7198090Srdivacky//===----------------------------------------------------------------------===//
8198090Srdivacky//
9221345Sdim// This module provides means for calculating a maximum spanning tree for a
10198090Srdivacky// given set of weighted edges. The type parameter T is the type of a node.
11198090Srdivacky//
12198090Srdivacky//===----------------------------------------------------------------------===//
13198090Srdivacky
14321369Sdim#ifndef LLVM_LIB_TRANSFORMS_INSTRUMENTATION_MAXIMUMSPANNINGTREE_H
15321369Sdim#define LLVM_LIB_TRANSFORMS_INSTRUMENTATION_MAXIMUMSPANNINGTREE_H
16198090Srdivacky
17198090Srdivacky#include "llvm/ADT/EquivalenceClasses.h"
18249423Sdim#include "llvm/IR/BasicBlock.h"
19249423Sdim#include <algorithm>
20198090Srdivacky#include <vector>
21198090Srdivacky
22198090Srdivackynamespace llvm {
23198090Srdivacky
24198090Srdivacky  /// MaximumSpanningTree - A MST implementation.
25198090Srdivacky  /// The type parameter T determines the type of the nodes of the graph.
26198090Srdivacky  template <typename T>
27198090Srdivacky  class MaximumSpanningTree {
28243830Sdim  public:
29243830Sdim    typedef std::pair<const T*, const T*> Edge;
30243830Sdim    typedef std::pair<Edge, double> EdgeWeight;
31243830Sdim    typedef std::vector<EdgeWeight> EdgeWeights;
32243830Sdim  protected:
33243830Sdim    typedef std::vector<Edge> MaxSpanTree;
34198090Srdivacky
35243830Sdim    MaxSpanTree MST;
36243830Sdim
37243830Sdim  private:
38198090Srdivacky    // A comparing class for comparing weighted edges.
39198090Srdivacky    struct EdgeWeightCompare {
40243830Sdim      static bool getBlockSize(const T *X) {
41243830Sdim        const BasicBlock *BB = dyn_cast_or_null<BasicBlock>(X);
42243830Sdim        return BB ? BB->size() : 0;
43243830Sdim      }
44243830Sdim
45243830Sdim      bool operator()(EdgeWeight X, EdgeWeight Y) const {
46198090Srdivacky        if (X.second > Y.second) return true;
47198090Srdivacky        if (X.second < Y.second) return false;
48243830Sdim
49243830Sdim        // Equal edge weights: break ties by comparing block sizes.
50243830Sdim        size_t XSizeA = getBlockSize(X.first.first);
51243830Sdim        size_t YSizeA = getBlockSize(Y.first.first);
52243830Sdim        if (XSizeA > YSizeA) return true;
53243830Sdim        if (XSizeA < YSizeA) return false;
54243830Sdim
55243830Sdim        size_t XSizeB = getBlockSize(X.first.second);
56243830Sdim        size_t YSizeB = getBlockSize(Y.first.second);
57243830Sdim        if (XSizeB > YSizeB) return true;
58243830Sdim        if (XSizeB < YSizeB) return false;
59243830Sdim
60198090Srdivacky        return false;
61198090Srdivacky      }
62198090Srdivacky    };
63198090Srdivacky
64198090Srdivacky  public:
65198090Srdivacky    static char ID; // Class identification, replacement for typeinfo
66198090Srdivacky
67198090Srdivacky    /// MaximumSpanningTree() - Takes a vector of weighted edges and returns a
68198090Srdivacky    /// spanning tree.
69198090Srdivacky    MaximumSpanningTree(EdgeWeights &EdgeVector) {
70353358Sdim      llvm::stable_sort(EdgeVector, EdgeWeightCompare());
71198090Srdivacky
72198090Srdivacky      // Create spanning tree, Forest contains a special data structure
73198090Srdivacky      // that makes checking if two nodes are already in a common (sub-)tree
74198090Srdivacky      // fast and cheap.
75198090Srdivacky      EquivalenceClasses<const T*> Forest;
76198090Srdivacky      for (typename EdgeWeights::iterator EWi = EdgeVector.begin(),
77198090Srdivacky           EWe = EdgeVector.end(); EWi != EWe; ++EWi) {
78198090Srdivacky        Edge e = (*EWi).first;
79198090Srdivacky
80198090Srdivacky        Forest.insert(e.first);
81198090Srdivacky        Forest.insert(e.second);
82198090Srdivacky      }
83198090Srdivacky
84198090Srdivacky      // Iterate over the sorted edges, biggest first.
85198090Srdivacky      for (typename EdgeWeights::iterator EWi = EdgeVector.begin(),
86198090Srdivacky           EWe = EdgeVector.end(); EWi != EWe; ++EWi) {
87198090Srdivacky        Edge e = (*EWi).first;
88198090Srdivacky
89198090Srdivacky        if (Forest.findLeader(e.first) != Forest.findLeader(e.second)) {
90198090Srdivacky          Forest.unionSets(e.first, e.second);
91198090Srdivacky          // So we know now that the edge is not already in a subtree, so we push
92198090Srdivacky          // the edge to the MST.
93198090Srdivacky          MST.push_back(e);
94198090Srdivacky        }
95198090Srdivacky      }
96198090Srdivacky    }
97198090Srdivacky
98198090Srdivacky    typename MaxSpanTree::iterator begin() {
99198090Srdivacky      return MST.begin();
100198090Srdivacky    }
101198090Srdivacky
102198090Srdivacky    typename MaxSpanTree::iterator end() {
103198090Srdivacky      return MST.end();
104198090Srdivacky    }
105198090Srdivacky  };
106198090Srdivacky
107198090Srdivacky} // End llvm namespace
108198090Srdivacky
109321369Sdim#endif // LLVM_LIB_TRANSFORMS_INSTRUMENTATION_MAXIMUMSPANNINGTREE_H
110