449 lines
18 KiB
C++
449 lines
18 KiB
C++
/*
|
|
Copyright 2008 Intel Corporation
|
|
|
|
Use, modification and distribution are subject to the Boost Software License,
|
|
Version 1.0. (See accompanying file LICENSE_1_0.txt or copy at
|
|
http://www.boost.org/LICENSE_1_0.txt).
|
|
*/
|
|
#ifndef BOOST_POLYGON_BOOLEAN_OP_HPP
|
|
#define BOOST_POLYGON_BOOLEAN_OP_HPP
|
|
namespace boost { namespace polygon{
|
|
namespace boolean_op {
|
|
|
|
//BooleanOp is the generic boolean operation scanline algorithm that provides
|
|
//all the simple boolean set operations on manhattan data. By templatizing
|
|
//the intersection count of the input and algorithm internals it is extensible
|
|
//to multi-layer scans, properties and other advanced scanline operations above
|
|
//and beyond simple booleans.
|
|
//T must cast to int
|
|
template <class T, typename Unit>
|
|
class BooleanOp {
|
|
public:
|
|
typedef std::map<Unit, T> ScanData;
|
|
typedef std::pair<Unit, T> ElementType;
|
|
protected:
|
|
ScanData scanData_;
|
|
typename ScanData::iterator nextItr_;
|
|
T nullT_;
|
|
public:
|
|
inline BooleanOp () : scanData_(), nextItr_(), nullT_() { nextItr_ = scanData_.end(); nullT_ = 0; }
|
|
inline BooleanOp (T nullT) : scanData_(), nextItr_(), nullT_(nullT) { nextItr_ = scanData_.end(); }
|
|
inline BooleanOp (const BooleanOp& that) : scanData_(that.scanData_), nextItr_(),
|
|
nullT_(that.nullT_) { nextItr_ = scanData_.begin(); }
|
|
inline BooleanOp& operator=(const BooleanOp& that);
|
|
|
|
//moves scanline forward
|
|
inline void advanceScan() { nextItr_ = scanData_.begin(); }
|
|
|
|
//proceses the given interval and T data
|
|
//appends output edges to cT
|
|
template <class cT>
|
|
inline void processInterval(cT& outputContainer, interval_data<Unit> ivl, T deltaCount);
|
|
|
|
private:
|
|
inline typename ScanData::iterator lookup_(Unit pos){
|
|
if(nextItr_ != scanData_.end() && nextItr_->first >= pos) {
|
|
return nextItr_;
|
|
}
|
|
return nextItr_ = scanData_.lower_bound(pos);
|
|
}
|
|
inline typename ScanData::iterator insert_(Unit pos, T count){
|
|
return nextItr_ = scanData_.insert(nextItr_, ElementType(pos, count));
|
|
}
|
|
template <class cT>
|
|
inline void evaluateInterval_(cT& outputContainer, interval_data<Unit> ivl, T beforeCount, T afterCount);
|
|
};
|
|
|
|
class BinaryAnd {
|
|
public:
|
|
inline BinaryAnd() {}
|
|
inline bool operator()(int a, int b) { return (a > 0) & (b > 0); }
|
|
};
|
|
class BinaryOr {
|
|
public:
|
|
inline BinaryOr() {}
|
|
inline bool operator()(int a, int b) { return (a > 0) | (b > 0); }
|
|
};
|
|
class BinaryNot {
|
|
public:
|
|
inline BinaryNot() {}
|
|
inline bool operator()(int a, int b) { return (a > 0) & !(b > 0); }
|
|
};
|
|
class BinaryXor {
|
|
public:
|
|
inline BinaryXor() {}
|
|
inline bool operator()(int a, int b) { return (a > 0) ^ (b > 0); }
|
|
};
|
|
|
|
//BinaryCount is an array of two deltaCounts coming from two different layers
|
|
//of scan event data. It is the merged count of the two suitable for consumption
|
|
//as the template argument of the BooleanOp algorithm because BinaryCount casts to int.
|
|
//T is a binary functor object that evaluates the array of counts and returns a logical
|
|
//result of some operation on those values.
|
|
//BinaryCount supports many of the operators that work with int, particularly the
|
|
//binary operators, but cannot support less than or increment.
|
|
template <class T>
|
|
class BinaryCount {
|
|
public:
|
|
inline BinaryCount()
|
|
#ifndef BOOST_POLYGON_MSVC
|
|
: counts_()
|
|
#endif
|
|
{ counts_[0] = counts_[1] = 0; }
|
|
// constructs from two integers
|
|
inline BinaryCount(int countL, int countR)
|
|
#ifndef BOOST_POLYGON_MSVC
|
|
: counts_()
|
|
#endif
|
|
{ counts_[0] = countL, counts_[1] = countR; }
|
|
inline BinaryCount& operator=(int count) { counts_[0] = count, counts_[1] = count; return *this; }
|
|
inline BinaryCount& operator=(const BinaryCount& that);
|
|
inline BinaryCount(const BinaryCount& that)
|
|
#ifndef BOOST_POLYGON_MSVC
|
|
: counts_()
|
|
#endif
|
|
{ *this = that; }
|
|
inline bool operator==(const BinaryCount& that) const;
|
|
inline bool operator!=(const BinaryCount& that) const { return !((*this) == that);}
|
|
inline BinaryCount& operator+=(const BinaryCount& that);
|
|
inline BinaryCount& operator-=(const BinaryCount& that);
|
|
inline BinaryCount operator+(const BinaryCount& that) const;
|
|
inline BinaryCount operator-(const BinaryCount& that) const;
|
|
inline BinaryCount operator-() const;
|
|
inline int& operator[](bool index) { return counts_[index]; }
|
|
|
|
//cast to int operator evaluates data using T binary functor
|
|
inline operator int() const { return T()(counts_[0], counts_[1]); }
|
|
private:
|
|
int counts_[2];
|
|
};
|
|
|
|
class UnaryCount {
|
|
public:
|
|
inline UnaryCount() : count_(0) {}
|
|
// constructs from two integers
|
|
inline explicit UnaryCount(int count) : count_(count) {}
|
|
inline UnaryCount& operator=(int count) { count_ = count; return *this; }
|
|
inline UnaryCount& operator=(const UnaryCount& that) { count_ = that.count_; return *this; }
|
|
inline UnaryCount(const UnaryCount& that) : count_(that.count_) {}
|
|
inline bool operator==(const UnaryCount& that) const { return count_ == that.count_; }
|
|
inline bool operator!=(const UnaryCount& that) const { return !((*this) == that);}
|
|
inline UnaryCount& operator+=(const UnaryCount& that) { count_ += that.count_; return *this; }
|
|
inline UnaryCount& operator-=(const UnaryCount& that) { count_ -= that.count_; return *this; }
|
|
inline UnaryCount operator+(const UnaryCount& that) const { UnaryCount tmp(*this); tmp += that; return tmp; }
|
|
inline UnaryCount operator-(const UnaryCount& that) const { UnaryCount tmp(*this); tmp -= that; return tmp; }
|
|
inline UnaryCount operator-() const { UnaryCount tmp; return tmp - *this; }
|
|
|
|
//cast to int operator evaluates data using T binary functor
|
|
inline operator int() const { return count_ % 2; }
|
|
private:
|
|
int count_;
|
|
};
|
|
|
|
template <class T, typename Unit>
|
|
inline BooleanOp<T, Unit>& BooleanOp<T, Unit>::operator=(const BooleanOp& that) {
|
|
scanData_ = that.scanData_;
|
|
nextItr_ = scanData_.begin();
|
|
nullT_ = that.nullT_;
|
|
return *this;
|
|
}
|
|
|
|
//appends output edges to cT
|
|
template <class T, typename Unit>
|
|
template <class cT>
|
|
inline void BooleanOp<T, Unit>::processInterval(cT& outputContainer, interval_data<Unit> ivl, T deltaCount) {
|
|
typename ScanData::iterator lowItr = lookup_(ivl.low());
|
|
typename ScanData::iterator highItr = lookup_(ivl.high());
|
|
//add interval to scan data if it is past the end
|
|
if(lowItr == scanData_.end()) {
|
|
lowItr = insert_(ivl.low(), deltaCount);
|
|
highItr = insert_(ivl.high(), nullT_);
|
|
evaluateInterval_(outputContainer, ivl, nullT_, deltaCount);
|
|
return;
|
|
}
|
|
//ensure that highItr points to the end of the ivl
|
|
if(highItr == scanData_.end() || (*highItr).first > ivl.high()) {
|
|
T value = nullT_;
|
|
if(highItr != scanData_.begin()) {
|
|
--highItr;
|
|
value = highItr->second;
|
|
}
|
|
nextItr_ = highItr;
|
|
highItr = insert_(ivl.high(), value);
|
|
}
|
|
//split the low interval if needed
|
|
if(lowItr->first > ivl.low()) {
|
|
if(lowItr != scanData_.begin()) {
|
|
--lowItr;
|
|
nextItr_ = lowItr;
|
|
lowItr = insert_(ivl.low(), lowItr->second);
|
|
} else {
|
|
nextItr_ = lowItr;
|
|
lowItr = insert_(ivl.low(), nullT_);
|
|
}
|
|
}
|
|
//process scan data intersecting interval
|
|
for(typename ScanData::iterator itr = lowItr; itr != highItr; ){
|
|
T beforeCount = itr->second;
|
|
T afterCount = itr->second += deltaCount;
|
|
Unit low = itr->first;
|
|
++itr;
|
|
Unit high = itr->first;
|
|
evaluateInterval_(outputContainer, interval_data<Unit>(low, high), beforeCount, afterCount);
|
|
}
|
|
//merge the bottom interval with the one below if they have the same count
|
|
if(lowItr != scanData_.begin()){
|
|
typename ScanData::iterator belowLowItr = lowItr;
|
|
--belowLowItr;
|
|
if(belowLowItr->second == lowItr->second) {
|
|
scanData_.erase(lowItr);
|
|
}
|
|
}
|
|
//merge the top interval with the one above if they have the same count
|
|
if(highItr != scanData_.begin()) {
|
|
typename ScanData::iterator beforeHighItr = highItr;
|
|
--beforeHighItr;
|
|
if(beforeHighItr->second == highItr->second) {
|
|
scanData_.erase(highItr);
|
|
highItr = beforeHighItr;
|
|
++highItr;
|
|
}
|
|
}
|
|
nextItr_ = highItr;
|
|
}
|
|
|
|
template <class T, typename Unit>
|
|
template <class cT>
|
|
inline void BooleanOp<T, Unit>::evaluateInterval_(cT& outputContainer, interval_data<Unit> ivl,
|
|
T beforeCount, T afterCount) {
|
|
bool before = (int)beforeCount > 0;
|
|
bool after = (int)afterCount > 0;
|
|
int value = (!before & after) - (before & !after);
|
|
if(value) {
|
|
outputContainer.insert(outputContainer.end(), std::pair<interval_data<Unit>, int>(ivl, value));
|
|
}
|
|
}
|
|
|
|
template <class T>
|
|
inline BinaryCount<T>& BinaryCount<T>::operator=(const BinaryCount<T>& that) {
|
|
counts_[0] = that.counts_[0];
|
|
counts_[1] = that.counts_[1];
|
|
return *this;
|
|
}
|
|
template <class T>
|
|
inline bool BinaryCount<T>::operator==(const BinaryCount<T>& that) const {
|
|
return counts_[0] == that.counts_[0] &&
|
|
counts_[1] == that.counts_[1];
|
|
}
|
|
template <class T>
|
|
inline BinaryCount<T>& BinaryCount<T>::operator+=(const BinaryCount<T>& that) {
|
|
counts_[0] += that.counts_[0];
|
|
counts_[1] += that.counts_[1];
|
|
return *this;
|
|
}
|
|
template <class T>
|
|
inline BinaryCount<T>& BinaryCount<T>::operator-=(const BinaryCount<T>& that) {
|
|
counts_[0] += that.counts_[0];
|
|
counts_[1] += that.counts_[1];
|
|
return *this;
|
|
}
|
|
template <class T>
|
|
inline BinaryCount<T> BinaryCount<T>::operator+(const BinaryCount<T>& that) const {
|
|
BinaryCount retVal(*this);
|
|
retVal += that;
|
|
return retVal;
|
|
}
|
|
template <class T>
|
|
inline BinaryCount<T> BinaryCount<T>::operator-(const BinaryCount<T>& that) const {
|
|
BinaryCount retVal(*this);
|
|
retVal -= that;
|
|
return retVal;
|
|
}
|
|
template <class T>
|
|
inline BinaryCount<T> BinaryCount<T>::operator-() const {
|
|
return BinaryCount<T>() - *this;
|
|
}
|
|
|
|
|
|
template <class T, typename Unit, typename iterator_type_1, typename iterator_type_2>
|
|
inline void applyBooleanBinaryOp(std::vector<std::pair<Unit, std::pair<Unit, int> > >& output,
|
|
//const std::vector<std::pair<Unit, std::pair<Unit, int> > >& input1,
|
|
//const std::vector<std::pair<Unit, std::pair<Unit, int> > >& input2,
|
|
iterator_type_1 itr1, iterator_type_1 itr1_end,
|
|
iterator_type_2 itr2, iterator_type_2 itr2_end,
|
|
T defaultCount) {
|
|
BooleanOp<T, Unit> boolean(defaultCount);
|
|
//typename std::vector<std::pair<Unit, std::pair<Unit, int> > >::const_iterator itr1 = input1.begin();
|
|
//typename std::vector<std::pair<Unit, std::pair<Unit, int> > >::const_iterator itr2 = input2.begin();
|
|
std::vector<std::pair<interval_data<Unit>, int> > container;
|
|
//output.reserve((std::max)(input1.size(), input2.size()));
|
|
|
|
//consider eliminating dependecy on limits with bool flag for initial state
|
|
Unit UnitMax = (std::numeric_limits<Unit>::max)();
|
|
Unit prevCoord = UnitMax;
|
|
Unit prevPosition = UnitMax;
|
|
T count(defaultCount);
|
|
//define the starting point
|
|
if(itr1 != itr1_end) {
|
|
prevCoord = (*itr1).first;
|
|
prevPosition = (*itr1).second.first;
|
|
count[0] += (*itr1).second.second;
|
|
}
|
|
if(itr2 != itr2_end) {
|
|
if((*itr2).first < prevCoord ||
|
|
((*itr2).first == prevCoord && (*itr2).second.first < prevPosition)) {
|
|
prevCoord = (*itr2).first;
|
|
prevPosition = (*itr2).second.first;
|
|
count = defaultCount;
|
|
count[1] += (*itr2).second.second;
|
|
++itr2;
|
|
} else if((*itr2).first == prevCoord && (*itr2).second.first == prevPosition) {
|
|
count[1] += (*itr2).second.second;
|
|
++itr2;
|
|
if(itr1 != itr1_end) ++itr1;
|
|
} else {
|
|
if(itr1 != itr1_end) ++itr1;
|
|
}
|
|
} else {
|
|
if(itr1 != itr1_end) ++itr1;
|
|
}
|
|
|
|
while(itr1 != itr1_end || itr2 != itr2_end) {
|
|
Unit curCoord = UnitMax;
|
|
Unit curPosition = UnitMax;
|
|
T curCount(defaultCount);
|
|
if(itr1 != itr1_end) {
|
|
curCoord = (*itr1).first;
|
|
curPosition = (*itr1).second.first;
|
|
curCount[0] += (*itr1).second.second;
|
|
}
|
|
if(itr2 != itr2_end) {
|
|
if((*itr2).first < curCoord ||
|
|
((*itr2).first == curCoord && (*itr2).second.first < curPosition)) {
|
|
curCoord = (*itr2).first;
|
|
curPosition = (*itr2).second.first;
|
|
curCount = defaultCount;
|
|
curCount[1] += (*itr2).second.second;
|
|
++itr2;
|
|
} else if((*itr2).first == curCoord && (*itr2).second.first == curPosition) {
|
|
curCount[1] += (*itr2).second.second;
|
|
++itr2;
|
|
if(itr1 != itr1_end) ++itr1;
|
|
} else {
|
|
if(itr1 != itr1_end) ++itr1;
|
|
}
|
|
} else {
|
|
++itr1;
|
|
}
|
|
|
|
if(prevCoord != curCoord) {
|
|
boolean.advanceScan();
|
|
prevCoord = curCoord;
|
|
prevPosition = curPosition;
|
|
count = curCount;
|
|
continue;
|
|
}
|
|
if(curPosition != prevPosition && count != defaultCount) {
|
|
interval_data<Unit> ivl(prevPosition, curPosition);
|
|
container.clear();
|
|
boolean.processInterval(container, ivl, count);
|
|
for(std::size_t i = 0; i < container.size(); ++i) {
|
|
std::pair<interval_data<Unit>, int>& element = container[i];
|
|
if(!output.empty() && output.back().first == prevCoord &&
|
|
output.back().second.first == element.first.low() &&
|
|
output.back().second.second == element.second * -1) {
|
|
output.pop_back();
|
|
} else {
|
|
output.push_back(std::pair<Unit, std::pair<Unit, int> >(prevCoord, std::pair<Unit, int>(element.first.low(),
|
|
element.second)));
|
|
}
|
|
output.push_back(std::pair<Unit, std::pair<Unit, int> >(prevCoord, std::pair<Unit, int>(element.first.high(),
|
|
element.second * -1)));
|
|
}
|
|
}
|
|
prevPosition = curPosition;
|
|
count += curCount;
|
|
}
|
|
}
|
|
|
|
template <class T, typename Unit>
|
|
inline void applyBooleanBinaryOp(std::vector<std::pair<Unit, std::pair<Unit, int> > >& inputOutput,
|
|
const std::vector<std::pair<Unit, std::pair<Unit, int> > >& input2,
|
|
T defaultCount) {
|
|
std::vector<std::pair<Unit, std::pair<Unit, int> > > output;
|
|
applyBooleanBinaryOp(output, inputOutput, input2, defaultCount);
|
|
if(output.size() < inputOutput.size() / 2) {
|
|
inputOutput = std::vector<std::pair<Unit, std::pair<Unit, int> > >();
|
|
} else {
|
|
inputOutput.clear();
|
|
}
|
|
inputOutput.insert(inputOutput.end(), output.begin(), output.end());
|
|
}
|
|
|
|
template <typename Unit>
|
|
inline void applyUnaryXOr(std::vector<std::pair<Unit, std::pair<Unit, int> > >& input) {
|
|
BooleanOp<UnaryCount, Unit> booleanXOr;
|
|
|
|
}
|
|
|
|
template <typename count_type = int>
|
|
struct default_arg_workaround {
|
|
template <typename Unit>
|
|
static inline void applyBooleanOr(std::vector<std::pair<Unit, std::pair<Unit, int> > >& input) {
|
|
BooleanOp<count_type, Unit> booleanOr;
|
|
std::vector<std::pair<interval_data<Unit>, int> > container;
|
|
std::vector<std::pair<Unit, std::pair<Unit, int> > > output;
|
|
output.reserve(input.size());
|
|
//consider eliminating dependecy on limits with bool flag for initial state
|
|
Unit UnitMax = (std::numeric_limits<Unit>::max)();
|
|
Unit prevPos = UnitMax;
|
|
Unit prevY = UnitMax;
|
|
int count = 0;
|
|
for(typename std::vector<std::pair<Unit, std::pair<Unit, int> > >::iterator itr = input.begin();
|
|
itr != input.end(); ++itr) {
|
|
Unit pos = (*itr).first;
|
|
Unit y = (*itr).second.first;
|
|
if(pos != prevPos) {
|
|
booleanOr.advanceScan();
|
|
prevPos = pos;
|
|
prevY = y;
|
|
count = (*itr).second.second;
|
|
continue;
|
|
}
|
|
if(y != prevY && count != 0) {
|
|
interval_data<Unit> ivl(prevY, y);
|
|
container.clear();
|
|
booleanOr.processInterval(container, ivl, count_type(count));
|
|
for(std::size_t i = 0; i < container.size(); ++i) {
|
|
std::pair<interval_data<Unit>, int>& element = container[i];
|
|
if(!output.empty() && output.back().first == prevPos &&
|
|
output.back().second.first == element.first.low() &&
|
|
output.back().second.second == element.second * -1) {
|
|
output.pop_back();
|
|
} else {
|
|
output.push_back(std::pair<Unit, std::pair<Unit, int> >(prevPos, std::pair<Unit, int>(element.first.low(),
|
|
element.second)));
|
|
}
|
|
output.push_back(std::pair<Unit, std::pair<Unit, int> >(prevPos, std::pair<Unit, int>(element.first.high(),
|
|
element.second * -1)));
|
|
}
|
|
}
|
|
prevY = y;
|
|
count += (*itr).second.second;
|
|
}
|
|
if(output.size() < input.size() / 2) {
|
|
input = std::vector<std::pair<Unit, std::pair<Unit, int> > >();
|
|
} else {
|
|
input.clear();
|
|
}
|
|
input.insert(input.end(), output.begin(), output.end());
|
|
}
|
|
};
|
|
|
|
}
|
|
|
|
}
|
|
|
|
}
|
|
#endif
|