/* | |
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_ISOTROPY_HPP | |
#define BOOST_POLYGON_ISOTROPY_HPP | |
//external | |
#include <cmath> | |
#include <cstddef> | |
#include <cstdlib> | |
#include <vector> | |
#include <deque> | |
#include <map> | |
#include <set> | |
#include <list> | |
//#include <iostream> | |
#include <algorithm> | |
#include <limits> | |
#include <iterator> | |
#include <string> | |
#ifndef BOOST_POLYGON_NO_DEPS | |
#include <boost/config.hpp> | |
#ifdef BOOST_MSVC | |
#define BOOST_POLYGON_MSVC | |
#endif | |
#ifdef BOOST_INTEL | |
#define BOOST_POLYGON_ICC | |
#endif | |
#ifdef BOOST_HAS_LONG_LONG | |
#define BOOST_POLYGON_USE_LONG_LONG | |
typedef boost::long_long_type polygon_long_long_type; | |
typedef boost::ulong_long_type polygon_ulong_long_type; | |
//typedef long long polygon_long_long_type; | |
//typedef unsigned long long polygon_ulong_long_type; | |
#endif | |
#include <boost/mpl/size_t.hpp> | |
#include <boost/mpl/protect.hpp> | |
#include <boost/utility/enable_if.hpp> | |
#include <boost/mpl/bool.hpp> | |
#include <boost/mpl/and.hpp> | |
#include <boost/mpl/or.hpp> | |
#else | |
#ifdef _WIN32 | |
#define BOOST_POLYGON_MSVC | |
#endif | |
#ifdef __ICC | |
#define BOOST_POLYGON_ICC | |
#endif | |
#define BOOST_POLYGON_USE_LONG_LONG | |
typedef long long polygon_long_long_type; | |
typedef unsigned long long polygon_ulong_long_type; | |
namespace boost { | |
template <bool B, class T = void> | |
struct enable_if_c { | |
typedef T type; | |
}; | |
template <class T> | |
struct enable_if_c<false, T> {}; | |
template <class Cond, class T = void> | |
struct enable_if : public enable_if_c<Cond::value, T> {}; | |
template <bool B, class T> | |
struct lazy_enable_if_c { | |
typedef typename T::type type; | |
}; | |
template <class T> | |
struct lazy_enable_if_c<false, T> {}; | |
template <class Cond, class T> | |
struct lazy_enable_if : public lazy_enable_if_c<Cond::value, T> {}; | |
template <bool B, class T = void> | |
struct disable_if_c { | |
typedef T type; | |
}; | |
template <class T> | |
struct disable_if_c<true, T> {}; | |
template <class Cond, class T = void> | |
struct disable_if : public disable_if_c<Cond::value, T> {}; | |
template <bool B, class T> | |
struct lazy_disable_if_c { | |
typedef typename T::type type; | |
}; | |
template <class T> | |
struct lazy_disable_if_c<true, T> {}; | |
template <class Cond, class T> | |
struct lazy_disable_if : public lazy_disable_if_c<Cond::value, T> {}; | |
} | |
#endif | |
namespace boost { namespace polygon{ | |
enum GEOMETRY_CONCEPT_ID { | |
COORDINATE_CONCEPT, | |
INTERVAL_CONCEPT, | |
POINT_CONCEPT, | |
POINT_3D_CONCEPT, | |
RECTANGLE_CONCEPT, | |
POLYGON_90_CONCEPT, | |
POLYGON_90_WITH_HOLES_CONCEPT, | |
POLYGON_45_CONCEPT, | |
POLYGON_45_WITH_HOLES_CONCEPT, | |
POLYGON_CONCEPT, | |
POLYGON_WITH_HOLES_CONCEPT, | |
POLYGON_90_SET_CONCEPT, | |
POLYGON_45_SET_CONCEPT, | |
POLYGON_SET_CONCEPT | |
}; | |
struct undefined_concept {}; | |
template <typename T> | |
struct geometry_concept { typedef undefined_concept type; }; | |
template <typename GCT, typename T> | |
struct view_of {}; | |
template <typename T1, typename T2> | |
view_of<T1, T2> view_as(const T2& obj) { return view_of<T1, T2>(obj); } | |
template <typename T> | |
struct coordinate_traits {}; | |
template <typename T> | |
struct high_precision_type { | |
typedef long double type; | |
}; | |
template <typename T> | |
T convert_high_precision_type(const typename high_precision_type<T>::type& v) { | |
return T(v); | |
} | |
template <> | |
struct coordinate_traits<int> { | |
typedef int coordinate_type; | |
typedef long double area_type; | |
#ifdef BOOST_POLYGON_USE_LONG_LONG | |
typedef polygon_long_long_type manhattan_area_type; | |
typedef polygon_ulong_long_type unsigned_area_type; | |
typedef polygon_long_long_type coordinate_difference; | |
#else | |
typedef long manhattan_area_type; | |
typedef unsigned long unsigned_area_type; | |
typedef long coordinate_difference; | |
#endif | |
typedef long double coordinate_distance; | |
}; | |
#ifdef BOOST_POLYGON_USE_LONG_LONG | |
template <> | |
struct coordinate_traits<polygon_long_long_type> { | |
typedef polygon_long_long_type coordinate_type; | |
typedef long double area_type; | |
typedef polygon_long_long_type manhattan_area_type; | |
typedef polygon_ulong_long_type unsigned_area_type; | |
typedef polygon_long_long_type coordinate_difference; | |
typedef long double coordinate_distance; | |
}; | |
#endif | |
template <> | |
struct coordinate_traits<float> { | |
typedef float coordinate_type; | |
typedef float area_type; | |
typedef float manhattan_area_type; | |
typedef float unsigned_area_type; | |
typedef float coordinate_difference; | |
typedef float coordinate_distance; | |
}; | |
template <> | |
struct coordinate_traits<double> { | |
typedef double coordinate_type; | |
typedef double area_type; | |
typedef double manhattan_area_type; | |
typedef double unsigned_area_type; | |
typedef double coordinate_difference; | |
typedef double coordinate_distance; | |
}; | |
template <> | |
struct coordinate_traits<long double> { | |
typedef long double coordinate_type; | |
typedef long double area_type; | |
typedef long double manhattan_area_type; | |
typedef long double unsigned_area_type; | |
typedef long double coordinate_difference; | |
typedef long double coordinate_distance; | |
}; | |
template <typename T> | |
struct scaling_policy { | |
template <typename T2> | |
static inline T round(T2 t2) { | |
return (T)std::floor(t2+0.5); | |
} | |
static inline T round(T t2) { | |
return t2; | |
} | |
}; | |
struct coordinate_concept {}; | |
template <> | |
struct geometry_concept<int> { typedef coordinate_concept type; }; | |
#ifdef BOOST_POLYGON_USE_LONG_LONG | |
template <> | |
struct geometry_concept<polygon_long_long_type> { typedef coordinate_concept type; }; | |
#endif | |
template <> | |
struct geometry_concept<float> { typedef coordinate_concept type; }; | |
template <> | |
struct geometry_concept<double> { typedef coordinate_concept type; }; | |
template <> | |
struct geometry_concept<long double> { typedef coordinate_concept type; }; | |
#ifndef BOOST_POLYGON_NO_DEPS | |
struct gtl_no : mpl::bool_<false> {}; | |
struct gtl_yes : mpl::bool_<true> {}; | |
template <typename T, typename T2> | |
struct gtl_and : mpl::and_<T, T2> {}; | |
template <typename T, typename T2, typename T3> | |
struct gtl_and_3 : mpl::and_<T, T2, T3> {}; | |
template <typename T, typename T2, typename T3, typename T4> | |
struct gtl_and_4 : mpl::and_<T, T2, T3, T4> {}; | |
// template <typename T, typename T2> | |
// struct gtl_or : mpl::or_<T, T2> {}; | |
// template <typename T, typename T2, typename T3> | |
// struct gtl_or_3 : mpl::or_<T, T2, T3> {}; | |
// template <typename T, typename T2, typename T3, typename T4> | |
// struct gtl_or_4 : mpl::or_<T, T2, T3, T4> {}; | |
#else | |
struct gtl_no { static const bool value = false; }; | |
struct gtl_yes { typedef gtl_yes type; | |
static const bool value = true; }; | |
template <bool T, bool T2> | |
struct gtl_and_c { typedef gtl_no type; }; | |
template <> | |
struct gtl_and_c<true, true> { typedef gtl_yes type; }; | |
template <typename T, typename T2> | |
struct gtl_and : gtl_and_c<T::value, T2::value> {}; | |
template <typename T, typename T2, typename T3> | |
struct gtl_and_3 { typedef typename gtl_and< | |
T, typename gtl_and<T2, T3>::type>::type type; }; | |
template <typename T, typename T2, typename T3, typename T4> | |
struct gtl_and_4 { typedef typename gtl_and_3< | |
T, T2, typename gtl_and<T3, T4>::type>::type type; }; | |
#endif | |
template <typename T, typename T2> | |
struct gtl_or { typedef gtl_yes type; }; | |
template <typename T> | |
struct gtl_or<T, T> { typedef T type; }; | |
template <typename T, typename T2, typename T3> | |
struct gtl_or_3 { typedef typename gtl_or< | |
T, typename gtl_or<T2, T3>::type>::type type; }; | |
template <typename T, typename T2, typename T3, typename T4> | |
struct gtl_or_4 { typedef typename gtl_or< | |
T, typename gtl_or_3<T2, T3, T4>::type>::type type; }; | |
template <typename T> | |
struct gtl_not { typedef gtl_no type; }; | |
template <> | |
struct gtl_not<gtl_no> { typedef gtl_yes type; }; | |
template <typename T> | |
struct gtl_if { | |
#ifdef BOOST_POLYGON_MSVC | |
typedef gtl_no type; | |
#endif | |
}; | |
template <> | |
struct gtl_if<gtl_yes> { typedef gtl_yes type; }; | |
template <typename T, typename T2> | |
struct gtl_same_type { typedef gtl_no type; }; | |
template <typename T> | |
struct gtl_same_type<T, T> { typedef gtl_yes type; }; | |
template <typename T, typename T2> | |
struct gtl_different_type { typedef typename gtl_not<typename gtl_same_type<T, T2>::type>::type type; }; | |
struct manhattan_domain {}; | |
struct forty_five_domain {}; | |
struct general_domain {}; | |
template <typename T> | |
struct geometry_domain { typedef general_domain type; }; | |
template <typename domain_type, typename coordinate_type> | |
struct area_type_by_domain { typedef typename coordinate_traits<coordinate_type>::area_type type; }; | |
template <typename coordinate_type> | |
struct area_type_by_domain<manhattan_domain, coordinate_type> { | |
typedef typename coordinate_traits<coordinate_type>::manhattan_area_type type; }; | |
struct y_c_edist : gtl_yes {}; | |
template <typename coordinate_type_1, typename coordinate_type_2> | |
typename enable_if< | |
typename gtl_and_3<y_c_edist, typename gtl_same_type<typename geometry_concept<coordinate_type_1>::type, coordinate_concept>::type, | |
typename gtl_same_type<typename geometry_concept<coordinate_type_1>::type, coordinate_concept>::type>::type, | |
typename coordinate_traits<coordinate_type_1>::coordinate_difference>::type | |
euclidean_distance(const coordinate_type_1& lvalue, const coordinate_type_2& rvalue) { | |
typedef typename coordinate_traits<coordinate_type_1>::coordinate_difference Unit; | |
return (lvalue < rvalue) ? (Unit)rvalue - (Unit)lvalue : (Unit)lvalue - (Unit)rvalue; | |
} | |
// predicated_swap swaps a and b if pred is true | |
// predicated_swap is guarenteed to behave the same as | |
// if(pred){ | |
// T tmp = a; | |
// a = b; | |
// b = tmp; | |
// } | |
// but will not generate a branch instruction. | |
// predicated_swap always creates a temp copy of a, but does not | |
// create more than one temp copy of an input. | |
// predicated_swap can be used to optimize away branch instructions in C++ | |
template <class T> | |
inline bool predicated_swap(const bool& pred, | |
T& a, | |
T& b) { | |
const T tmp = a; | |
const T* input[2] = {&b, &tmp}; | |
a = *input[!pred]; | |
b = *input[pred]; | |
return pred; | |
} | |
enum direction_1d_enum { LOW = 0, HIGH = 1, | |
LEFT = 0, RIGHT = 1, | |
CLOCKWISE = 0, COUNTERCLOCKWISE = 1, | |
REVERSE = 0, FORWARD = 1, | |
NEGATIVE = 0, POSITIVE = 1 }; | |
enum orientation_2d_enum { HORIZONTAL = 0, VERTICAL = 1 }; | |
enum direction_2d_enum { WEST = 0, EAST = 1, SOUTH = 2, NORTH = 3 }; | |
enum orientation_3d_enum { PROXIMAL = 2 }; | |
enum direction_3d_enum { DOWN = 4, UP = 5 }; | |
enum winding_direction { | |
clockwise_winding = 0, | |
counterclockwise_winding = 1, | |
unknown_winding = 2 | |
}; | |
class direction_2d; | |
class direction_3d; | |
class orientation_2d; | |
class direction_1d { | |
private: | |
unsigned int val_; | |
explicit direction_1d(int d); | |
public: | |
inline direction_1d() : val_(LOW) {} | |
inline direction_1d(const direction_1d& that) : val_(that.val_) {} | |
inline direction_1d(const direction_1d_enum val) : val_(val) {} | |
explicit inline direction_1d(const direction_2d& that); | |
explicit inline direction_1d(const direction_3d& that); | |
inline direction_1d& operator = (const direction_1d& d) { | |
val_ = d.val_; return * this; } | |
inline bool operator==(direction_1d d) const { return (val_ == d.val_); } | |
inline bool operator!=(direction_1d d) const { return !((*this) == d); } | |
inline unsigned int to_int(void) const { return val_; } | |
inline direction_1d& backward() { val_ ^= 1; return *this; } | |
inline int get_sign() const { return val_ * 2 - 1; } | |
}; | |
class direction_2d; | |
class orientation_2d { | |
private: | |
unsigned int val_; | |
explicit inline orientation_2d(int o); | |
public: | |
inline orientation_2d() : val_(HORIZONTAL) {} | |
inline orientation_2d(const orientation_2d& ori) : val_(ori.val_) {} | |
inline orientation_2d(const orientation_2d_enum val) : val_(val) {} | |
explicit inline orientation_2d(const direction_2d& that); | |
inline orientation_2d& operator=(const orientation_2d& ori) { | |
val_ = ori.val_; return * this; } | |
inline bool operator==(orientation_2d that) const { return (val_ == that.val_); } | |
inline bool operator!=(orientation_2d that) const { return (val_ != that.val_); } | |
inline unsigned int to_int() const { return (val_); } | |
inline void turn_90() { val_ = val_^ 1; } | |
inline orientation_2d get_perpendicular() const { | |
orientation_2d retval = *this; | |
retval.turn_90(); | |
return retval; | |
} | |
inline direction_2d get_direction(direction_1d dir) const; | |
}; | |
class direction_2d { | |
private: | |
int val_; | |
public: | |
inline direction_2d() : val_(WEST) {} | |
inline direction_2d(const direction_2d& that) : val_(that.val_) {} | |
inline direction_2d(const direction_2d_enum val) : val_(val) {} | |
inline direction_2d& operator=(const direction_2d& d) { | |
val_ = d.val_; | |
return * this; | |
} | |
inline ~direction_2d() { } | |
inline bool operator==(direction_2d d) const { return (val_ == d.val_); } | |
inline bool operator!=(direction_2d d) const { return !((*this) == d); } | |
inline bool operator< (direction_2d d) const { return (val_ < d.val_); } | |
inline bool operator<=(direction_2d d) const { return (val_ <= d.val_); } | |
inline bool operator> (direction_2d d) const { return (val_ > d.val_); } | |
inline bool operator>=(direction_2d d) const { return (val_ >= d.val_); } | |
// Casting to int | |
inline unsigned int to_int(void) const { return val_; } | |
inline direction_2d backward() const { | |
// flip the LSB, toggles 0 - 1 and 2 - 3 | |
return direction_2d(direction_2d_enum(val_ ^ 1)); | |
} | |
// Returns a direction 90 degree left (LOW) or right(HIGH) to this one | |
inline direction_2d turn(direction_1d t) const { | |
return direction_2d(direction_2d_enum(val_ ^ 3 ^ (val_ >> 1) ^ t.to_int())); | |
} | |
// Returns a direction 90 degree left to this one | |
inline direction_2d left() const {return turn(HIGH);} | |
// Returns a direction 90 degree right to this one | |
inline direction_2d right() const {return turn(LOW);} | |
// N, E are positive, S, W are negative | |
inline bool is_positive() const {return (val_ & 1);} | |
inline bool is_negative() const {return !is_positive();} | |
inline int get_sign() const {return ((is_positive()) << 1) -1;} | |
}; | |
direction_1d::direction_1d(const direction_2d& that) : val_(that.to_int() & 1) {} | |
orientation_2d::orientation_2d(const direction_2d& that) : val_(that.to_int() >> 1) {} | |
direction_2d orientation_2d::get_direction(direction_1d dir) const { | |
return direction_2d(direction_2d_enum((val_ << 1) + dir.to_int())); | |
} | |
class orientation_3d { | |
private: | |
unsigned int val_; | |
explicit inline orientation_3d(int o); | |
public: | |
inline orientation_3d() : val_((int)HORIZONTAL) {} | |
inline orientation_3d(const orientation_3d& ori) : val_(ori.val_) {} | |
inline orientation_3d(orientation_2d ori) : val_(ori.to_int()) {} | |
inline orientation_3d(const orientation_3d_enum val) : val_(val) {} | |
explicit inline orientation_3d(const direction_2d& that); | |
explicit inline orientation_3d(const direction_3d& that); | |
inline ~orientation_3d() { } | |
inline orientation_3d& operator=(const orientation_3d& ori) { | |
val_ = ori.val_; return * this; } | |
inline bool operator==(orientation_3d that) const { return (val_ == that.val_); } | |
inline bool operator!=(orientation_3d that) const { return (val_ != that.val_); } | |
inline unsigned int to_int() const { return (val_); } | |
inline direction_3d get_direction(direction_1d dir) const; | |
}; | |
class direction_3d { | |
private: | |
int val_; | |
public: | |
inline direction_3d() : val_(WEST) {} | |
inline direction_3d(direction_2d that) : val_(that.to_int()) {} | |
inline direction_3d(const direction_3d& that) : val_(that.val_) {} | |
inline direction_3d(const direction_2d_enum val) : val_(val) {} | |
inline direction_3d(const direction_3d_enum val) : val_(val) {} | |
inline direction_3d& operator=(direction_3d d) { | |
val_ = d.val_; | |
return * this; | |
} | |
inline ~direction_3d() { } | |
inline bool operator==(direction_3d d) const { return (val_ == d.val_); } | |
inline bool operator!=(direction_3d d) const { return !((*this) == d); } | |
inline bool operator< (direction_3d d) const { return (val_ < d.val_); } | |
inline bool operator<=(direction_3d d) const { return (val_ <= d.val_); } | |
inline bool operator> (direction_3d d) const { return (val_ > d.val_); } | |
inline bool operator>=(direction_3d d) const { return (val_ >= d.val_); } | |
// Casting to int | |
inline unsigned int to_int(void) const { return val_; } | |
inline direction_3d backward() const { | |
// flip the LSB, toggles 0 - 1 and 2 - 3 and 4 - 5 | |
return direction_2d(direction_2d_enum(val_ ^ 1)); | |
} | |
// N, E, U are positive, S, W, D are negative | |
inline bool is_positive() const {return (val_ & 1);} | |
inline bool is_negative() const {return !is_positive();} | |
inline int get_sign() const {return ((is_positive()) << 1) -1;} | |
}; | |
direction_1d::direction_1d(const direction_3d& that) : val_(that.to_int() & 1) {} | |
orientation_3d::orientation_3d(const direction_3d& that) : val_(that.to_int() >> 1) {} | |
orientation_3d::orientation_3d(const direction_2d& that) : val_(that.to_int() >> 1) {} | |
direction_3d orientation_3d::get_direction(direction_1d dir) const { | |
return direction_3d(direction_3d_enum((val_ << 1) + dir.to_int())); | |
} | |
} | |
} | |
#endif | |