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+/* $Id: CoinSearchTree.hpp 1824 2015-04-04 16:27:28Z tkr $ */
+// Copyright (C) 2006, International Business Machines
+// Corporation and others. All Rights Reserved.
+// This code is licensed under the terms of the Eclipse Public License (EPL).
+
+#ifndef CoinSearchTree_H
+#define CoinSearchTree_H
+
+#include <vector>
+#include <algorithm>
+#include <cmath>
+#include <string>
+
+#include "CoinFinite.hpp"
+#include "CoinHelperFunctions.hpp"
+
+// #define DEBUG_PRINT
+
+//#############################################################################
+
+class BitVector128 {
+ friend bool operator<(const BitVector128& b0, const BitVector128& b1);
+private:
+ unsigned int bits_[4];
+public:
+ BitVector128();
+ BitVector128(unsigned int bits[4]);
+ ~BitVector128() {}
+ void set(unsigned int bits[4]);
+ void setBit(int i);
+ void clearBit(int i);
+ std::string str() const;
+};
+
+bool operator<(const BitVector128& b0, const BitVector128& b1);
+
+//#############################################################################
+
+/** A class from which the real tree nodes should be derived from. Some of the
+ data that undoubtedly exist in the real tree node is replicated here for
+ fast access. This class is used in the various comparison functions. */
+class CoinTreeNode {
+protected:
+ CoinTreeNode() :
+ depth_(-1),
+ fractionality_(-1),
+ quality_(-COIN_DBL_MAX),
+ true_lower_bound_(-COIN_DBL_MAX),
+ preferred_() {}
+ CoinTreeNode(int d,
+ int f = -1,
+ double q = -COIN_DBL_MAX,
+ double tlb = -COIN_DBL_MAX,
+ BitVector128 p = BitVector128()) :
+ depth_(d),
+ fractionality_(f),
+ quality_(q),
+ true_lower_bound_(tlb),
+ preferred_(p) {}
+ CoinTreeNode(const CoinTreeNode& x) :
+ depth_(x.depth_),
+ fractionality_(x.fractionality_),
+ quality_(x.quality_),
+ true_lower_bound_(x.true_lower_bound_),
+ preferred_(x.preferred_) {}
+ CoinTreeNode& operator=(const CoinTreeNode& x) {
+ if (this != &x) {
+ depth_ = x.depth_;
+ fractionality_ = x.fractionality_;
+ quality_ = x.quality_;
+ true_lower_bound_ = x.true_lower_bound_;
+ preferred_ = x.preferred_;
+ }
+ return *this;
+ }
+private:
+ /// The depth of the node in the tree
+ int depth_;
+ /** A measure of fractionality, e.g., the number of unsatisfied
+ integrality requirements */
+ int fractionality_;
+ /** Some quality for the node. For normal branch-and-cut problems the LP
+ relaxation value will do just fine. It is probably an OK approximation
+ even if column generation is done. */
+ double quality_;
+ /** A true lower bound on the node. May be -infinity. For normal
+ branch-and-cut problems the LP relaxation value is OK. It is different
+ when column generation is done. */
+ double true_lower_bound_;
+ /** */
+ BitVector128 preferred_;
+public:
+ virtual ~CoinTreeNode() {}
+
+ inline int getDepth() const { return depth_; }
+ inline int getFractionality() const { return fractionality_; }
+ inline double getQuality() const { return quality_; }
+ inline double getTrueLB() const { return true_lower_bound_; }
+ inline BitVector128 getPreferred() const { return preferred_; }
+
+ inline void setDepth(int d) { depth_ = d; }
+ inline void setFractionality(int f) { fractionality_ = f; }
+ inline void setQuality(double q) { quality_ = q; }
+ inline void setTrueLB(double tlb) { true_lower_bound_ = tlb; }
+ inline void setPreferred(BitVector128 p) { preferred_ = p; }
+};
+
+//==============================================================================
+
+class CoinTreeSiblings {
+private:
+ CoinTreeSiblings();
+ CoinTreeSiblings& operator=(const CoinTreeSiblings&);
+private:
+ int current_;
+ int numSiblings_;
+ CoinTreeNode** siblings_;
+public:
+ CoinTreeSiblings(const int n, CoinTreeNode** nodes) :
+ current_(0), numSiblings_(n), siblings_(new CoinTreeNode*[n])
+ {
+ CoinDisjointCopyN(nodes, n, siblings_);
+ }
+ CoinTreeSiblings(const CoinTreeSiblings& s) :
+ current_(s.current_),
+ numSiblings_(s.numSiblings_),
+ siblings_(new CoinTreeNode*[s.numSiblings_])
+ {
+ CoinDisjointCopyN(s.siblings_, s.numSiblings_, siblings_);
+ }
+ ~CoinTreeSiblings() { delete[] siblings_; }
+ inline CoinTreeNode* currentNode() const { return siblings_[current_]; }
+ /** returns false if cannot be advanced */
+ inline bool advanceNode() { return ++current_ != numSiblings_; }
+ inline int toProcess() const { return numSiblings_ - current_; }
+ inline int size() const { return numSiblings_; }
+ inline void printPref() const {
+ for (int i = 0; i < numSiblings_; ++i) {
+ std::string pref = siblings_[i]->getPreferred().str();
+ printf("prefs of sibligs: sibling[%i]: %s\n", i, pref.c_str());
+ }
+ }
+};
+
+//#############################################################################
+
+/** Function objects to compare search tree nodes. The comparison function
+ must return true if the first argument is "better" than the second one,
+ i.e., it should be processed first. */
+/*@{*/
+/** Depth First Search. */
+struct CoinSearchTreeComparePreferred {
+ static inline const char* name() { return "CoinSearchTreeComparePreferred"; }
+ inline bool operator()(const CoinTreeSiblings* x,
+ const CoinTreeSiblings* y) const {
+ register const CoinTreeNode* xNode = x->currentNode();
+ register const CoinTreeNode* yNode = y->currentNode();
+ const BitVector128 xPref = xNode->getPreferred();
+ const BitVector128 yPref = yNode->getPreferred();
+ bool retval = true;
+ if (xPref < yPref) {
+ retval = true;
+ } else if (yPref < xPref) {
+ retval = false;
+ } else {
+ retval = xNode->getQuality() < yNode->getQuality();
+ }
+#ifdef DEBUG_PRINT
+ printf("Comparing xpref (%s) and ypref (%s) : %s\n",
+ xpref.str().c_str(), ypref.str().c_str(), retval ? "T" : "F");
+#endif
+ return retval;
+ }
+};
+
+//-----------------------------------------------------------------------------
+/** Depth First Search. */
+struct CoinSearchTreeCompareDepth {
+ static inline const char* name() { return "CoinSearchTreeCompareDepth"; }
+ inline bool operator()(const CoinTreeSiblings* x,
+ const CoinTreeSiblings* y) const {
+#if 1
+ return x->currentNode()->getDepth() >= y->currentNode()->getDepth();
+#else
+ if(x->currentNode()->getDepth() > y->currentNode()->getDepth())
+ return 1;
+ if(x->currentNode()->getDepth() == y->currentNode()->getDepth() &&
+ x->currentNode()->getQuality() <= y->currentNode()->getQuality())
+ return 1;
+ return 0;
+#endif
+ }
+};
+
+//-----------------------------------------------------------------------------
+/* Breadth First Search */
+struct CoinSearchTreeCompareBreadth {
+ static inline const char* name() { return "CoinSearchTreeCompareBreadth"; }
+ inline bool operator()(const CoinTreeSiblings* x,
+ const CoinTreeSiblings* y) const {
+ return x->currentNode()->getDepth() < y->currentNode()->getDepth();
+ }
+};
+
+//-----------------------------------------------------------------------------
+/** Best first search */
+struct CoinSearchTreeCompareBest {
+ static inline const char* name() { return "CoinSearchTreeCompareBest"; }
+ inline bool operator()(const CoinTreeSiblings* x,
+ const CoinTreeSiblings* y) const {
+ return x->currentNode()->getQuality() < y->currentNode()->getQuality();
+ }
+};
+
+//#############################################################################
+
+class CoinSearchTreeBase
+{
+private:
+ CoinSearchTreeBase(const CoinSearchTreeBase&);
+ CoinSearchTreeBase& operator=(const CoinSearchTreeBase&);
+
+protected:
+ std::vector<CoinTreeSiblings*> candidateList_;
+ int numInserted_;
+ int size_;
+
+protected:
+ CoinSearchTreeBase() : candidateList_(), numInserted_(0), size_(0) {}
+
+ virtual void realpop() = 0;
+ virtual void realpush(CoinTreeSiblings* s) = 0;
+ virtual void fixTop() = 0;
+
+public:
+ virtual ~CoinSearchTreeBase() {}
+ virtual const char* compName() const = 0;
+
+ inline const std::vector<CoinTreeSiblings*>& getCandidates() const {
+ return candidateList_;
+ }
+ inline bool empty() const { return candidateList_.empty(); }
+ inline int size() const { return size_; }
+ inline int numInserted() const { return numInserted_; }
+ inline CoinTreeNode* top() const {
+ if (size_ == 0 || candidateList_.size() == 0)
+ return NULL;
+#ifdef DEBUG_PRINT
+ char output[44];
+ output[43] = 0;
+ candidateList_.front()->currentNode()->getPreferred().print(output);
+ printf("top's pref: %s\n", output);
+#endif
+ return candidateList_.front()->currentNode();
+ }
+ /** pop will advance the \c next pointer among the siblings on the top and
+ then moves the top to its correct position. #realpop is the method
+ that actually removes the element from the heap */
+ inline void pop() {
+ CoinTreeSiblings* s = candidateList_.front();
+ if (!s->advanceNode()) {
+ realpop();
+ delete s;
+ } else {
+ fixTop();
+ }
+ --size_;
+ }
+ inline void push(int numNodes, CoinTreeNode** nodes,
+ const bool incrInserted = true) {
+ CoinTreeSiblings* s = new CoinTreeSiblings(numNodes, nodes);
+ realpush(s);
+ if (incrInserted) {
+ numInserted_ += numNodes;
+ }
+ size_ += numNodes;
+ }
+ inline void push(const CoinTreeSiblings& sib,
+ const bool incrInserted = true) {
+ CoinTreeSiblings* s = new CoinTreeSiblings(sib);
+#ifdef DEBUG_PRINT
+ s->printPref();
+#endif
+ realpush(s);
+ if (incrInserted) {
+ numInserted_ += sib.toProcess();
+ }
+ size_ += sib.toProcess();
+ }
+};
+
+//#############################################################################
+
+// #define CAN_TRUST_STL_HEAP
+#ifdef CAN_TRUST_STL_HEAP
+
+template <class Comp>
+class CoinSearchTree : public CoinSearchTreeBase
+{
+private:
+ Comp comp_;
+protected:
+ virtual void realpop() {
+ candidateList_.pop_back();
+ }
+ virtual void fixTop() {
+ CoinTreeSiblings* s = top();
+ realpop();
+ push(s, false);
+ }
+ virtual void realpush(CoinTreeSiblings* s) {
+ nodes_.push_back(s);
+ std::push_heap(candidateList_.begin(), candidateList_.end(), comp_);
+ }
+public:
+ CoinSearchTree() : CoinSearchTreeBase(), comp_() {}
+ CoinSearchTree(const CoinSearchTreeBase& t) :
+ CoinSearchTreeBase(), comp_() {
+ candidateList_ = t.getCandidates();
+ std::make_heap(candidateList_.begin(), candidateList_.end(), comp_);
+ numInserted_ = t.numInserted_;
+ size_ = t.size_;
+ }
+ ~CoinSearchTree() {}
+ const char* compName() const { return Comp::name(); }
+};
+
+#else
+
+template <class Comp>
+class CoinSearchTree : public CoinSearchTreeBase
+{
+private:
+ Comp comp_;
+
+protected:
+ virtual void realpop() {
+ candidateList_[0] = candidateList_.back();
+ candidateList_.pop_back();
+ fixTop();
+ }
+ /** After changing data in the top node, fix the heap */
+ virtual void fixTop() {
+ const size_t size = candidateList_.size();
+ if (size > 1) {
+ CoinTreeSiblings** candidates = &candidateList_[0];
+ CoinTreeSiblings* s = candidates[0];
+ --candidates;
+ size_t pos = 1;
+ size_t ch;
+ for (ch = 2; ch < size; pos = ch, ch *= 2) {
+ if (comp_(candidates[ch+1], candidates[ch]))
+ ++ch;
+ if (comp_(s, candidates[ch]))
+ break;
+ candidates[pos] = candidates[ch];
+ }
+ if (ch == size) {
+ if (comp_(candidates[ch], s)) {
+ candidates[pos] = candidates[ch];
+ pos = ch;
+ }
+ }
+ candidates[pos] = s;
+ }
+ }
+ virtual void realpush(CoinTreeSiblings* s) {
+ candidateList_.push_back(s);
+ CoinTreeSiblings** candidates = &candidateList_[0];
+ --candidates;
+ size_t pos = candidateList_.size();
+ size_t ch;
+ for (ch = pos/2; ch != 0; pos = ch, ch /= 2) {
+ if (comp_(candidates[ch], s))
+ break;
+ candidates[pos] = candidates[ch];
+ }
+ candidates[pos] = s;
+ }
+
+public:
+ CoinSearchTree() : CoinSearchTreeBase(), comp_() {}
+ CoinSearchTree(const CoinSearchTreeBase& t) :
+ CoinSearchTreeBase(), comp_() {
+ candidateList_ = t.getCandidates();
+ std::sort(candidateList_.begin(), candidateList_.end(), comp_);
+ numInserted_ = t.numInserted();
+ size_ = t.size();
+ }
+ virtual ~CoinSearchTree() {}
+ const char* compName() const { return Comp::name(); }
+};
+
+#endif
+
+//#############################################################################
+
+enum CoinNodeAction {
+ CoinAddNodeToCandidates,
+ CoinTestNodeForDiving,
+ CoinDiveIntoNode
+};
+
+class CoinSearchTreeManager
+{
+private:
+ CoinSearchTreeManager(const CoinSearchTreeManager&);
+ CoinSearchTreeManager& operator=(const CoinSearchTreeManager&);
+private:
+ CoinSearchTreeBase* candidates_;
+ int numSolution;
+ /** Whether there is an upper bound or not. The upper bound may have come
+ as input, not necessarily from a solution */
+ bool hasUB_;
+
+ /** variable used to test whether we need to reevaluate search strategy */
+ bool recentlyReevaluatedSearchStrategy_;
+
+public:
+ CoinSearchTreeManager() :
+ candidates_(NULL),
+ numSolution(0),
+ recentlyReevaluatedSearchStrategy_(true)
+ {}
+ virtual ~CoinSearchTreeManager() {
+ delete candidates_;
+ }
+
+ inline void setTree(CoinSearchTreeBase* t) {
+ delete candidates_;
+ candidates_ = t;
+ }
+ inline CoinSearchTreeBase* getTree() const {
+ return candidates_;
+ }
+
+ inline bool empty() const { return candidates_->empty(); }
+ inline size_t size() const { return candidates_->size(); }
+ inline size_t numInserted() const { return candidates_->numInserted(); }
+ inline CoinTreeNode* top() const { return candidates_->top(); }
+ inline void pop() { candidates_->pop(); }
+ inline void push(CoinTreeNode* node, const bool incrInserted = true) {
+ candidates_->push(1, &node, incrInserted);
+ }
+ inline void push(const CoinTreeSiblings& s, const bool incrInserted=true) {
+ candidates_->push(s, incrInserted);
+ }
+ inline void push(const int n, CoinTreeNode** nodes,
+ const bool incrInserted = true) {
+ candidates_->push(n, nodes, incrInserted);
+ }
+
+ inline CoinTreeNode* bestQualityCandidate() const {
+ return candidates_->top();
+ }
+ inline double bestQuality() const {
+ return candidates_->top()->getQuality();
+ }
+ void newSolution(double solValue);
+ void reevaluateSearchStrategy();
+};
+
+//#############################################################################
+
+#endif