| 1 | 1 |
/* -*- mode: C++; indent-tabs-mode: nil; -*- |
| 2 | 2 |
* |
| 3 | 3 |
* This file is a part of LEMON, a generic C++ optimization library. |
| 4 | 4 |
* |
| 5 | 5 |
* Copyright (C) 2003-2008 |
| 6 | 6 |
* Egervary Jeno Kombinatorikus Optimalizalasi Kutatocsoport |
| 7 | 7 |
* (Egervary Research Group on Combinatorial Optimization, EGRES). |
| 8 | 8 |
* |
| 9 | 9 |
* Permission to use, modify and distribute this software is granted |
| 10 | 10 |
* provided that this copyright notice appears in all copies. For |
| 11 | 11 |
* precise terms see the accompanying LICENSE file. |
| 12 | 12 |
* |
| 13 | 13 |
* This software is provided "AS IS" with no warranty of any kind, |
| 14 | 14 |
* express or implied, and with no claim as to its suitability for any |
| 15 | 15 |
* purpose. |
| 16 | 16 |
* |
| 17 | 17 |
*/ |
| 18 | 18 |
|
| 19 | 19 |
#ifndef LEMON_DIM2_H |
| 20 | 20 |
#define LEMON_DIM2_H |
| 21 | 21 |
|
| 22 | 22 |
#include <iostream> |
| 23 |
#include <lemon/core.h> |
|
| 24 | 23 |
|
| 25 | 24 |
///\ingroup misc |
| 26 | 25 |
///\file |
| 27 | 26 |
///\brief A simple two dimensional vector and a bounding box implementation |
| 28 | 27 |
/// |
| 29 | 28 |
/// The class \ref lemon::dim2::Point "dim2::Point" implements |
| 30 | 29 |
/// a two dimensional vector with the usual operations. |
| 31 | 30 |
/// |
| 32 | 31 |
/// The class \ref lemon::dim2::BoundingBox "dim2::BoundingBox" |
| 33 | 32 |
/// can be used to determine |
| 34 | 33 |
/// the rectangular bounding box of a set of |
| 35 | 34 |
/// \ref lemon::dim2::Point "dim2::Point"'s. |
| 36 | 35 |
|
| 37 | 36 |
namespace lemon {
|
| 38 | 37 |
|
| 39 | 38 |
///Tools for handling two dimensional coordinates |
| 40 | 39 |
|
| 41 | 40 |
///This namespace is a storage of several |
| 42 | 41 |
///tools for handling two dimensional coordinates |
| 43 | 42 |
namespace dim2 {
|
| 44 | 43 |
|
| 45 | 44 |
/// \addtogroup misc |
| 46 | 45 |
/// @{
|
| 47 | 46 |
|
| 48 |
/// A simple two dimensional vector ( |
|
| 47 |
/// A simple two dimensional vector (plain vector) implementation |
|
| 49 | 48 |
|
| 50 |
/// A simple two dimensional vector ( |
|
| 49 |
/// A simple two dimensional vector (plain vector) implementation |
|
| 51 | 50 |
/// with the usual vector operations. |
| 52 | 51 |
template<typename T> |
| 53 | 52 |
class Point {
|
| 54 | 53 |
|
| 55 | 54 |
public: |
| 56 | 55 |
|
| 57 | 56 |
typedef T Value; |
| 58 | 57 |
|
| 59 | 58 |
///First coordinate |
| 60 | 59 |
T x; |
| 61 | 60 |
///Second coordinate |
| 62 | 61 |
T y; |
| 63 | 62 |
|
| 64 | 63 |
///Default constructor |
| 65 | 64 |
Point() {}
|
| 66 | 65 |
|
| 67 | 66 |
///Construct an instance from coordinates |
| 68 | 67 |
Point(T a, T b) : x(a), y(b) { }
|
| 69 | 68 |
|
| 70 | 69 |
///Returns the dimension of the vector (i.e. returns 2). |
| 71 | 70 |
|
| 72 | 71 |
///The dimension of the vector. |
| 73 | 72 |
///This function always returns 2. |
| 74 | 73 |
int size() const { return 2; }
|
| 75 | 74 |
|
| 76 | 75 |
///Subscripting operator |
| 77 | 76 |
|
| 78 | 77 |
///\c p[0] is \c p.x and \c p[1] is \c p.y |
| 79 | 78 |
/// |
| 80 | 79 |
T& operator[](int idx) { return idx == 0 ? x : y; }
|
| 81 | 80 |
|
| 82 | 81 |
///Const subscripting operator |
| 83 | 82 |
|
| 84 | 83 |
///\c p[0] is \c p.x and \c p[1] is \c p.y |
| 85 | 84 |
/// |
| 86 | 85 |
const T& operator[](int idx) const { return idx == 0 ? x : y; }
|
| 87 | 86 |
|
| 88 | 87 |
///Conversion constructor |
| 89 | 88 |
template<class TT> Point(const Point<TT> &p) : x(p.x), y(p.y) {}
|
| 90 | 89 |
|
| 91 | 90 |
///Give back the square of the norm of the vector |
| 92 | 91 |
T normSquare() const {
|
| 93 | 92 |
return x*x+y*y; |
| 94 | 93 |
} |
| 95 | 94 |
|
| 96 | 95 |
///Increment the left hand side by \c u |
| 97 | 96 |
Point<T>& operator +=(const Point<T>& u) {
|
| 98 | 97 |
x += u.x; |
| ... | ... |
@@ -141,434 +140,437 @@ |
| 141 | 140 |
|
| 142 | 141 |
///Return the difference of two vectors |
| 143 | 142 |
Point<T> operator-(const Point<T> &u) const {
|
| 144 | 143 |
Point<T> b=*this; |
| 145 | 144 |
return b-=u; |
| 146 | 145 |
} |
| 147 | 146 |
|
| 148 | 147 |
///Return a vector multiplied by a scalar |
| 149 | 148 |
Point<T> operator*(const T &u) const {
|
| 150 | 149 |
Point<T> b=*this; |
| 151 | 150 |
return b*=u; |
| 152 | 151 |
} |
| 153 | 152 |
|
| 154 | 153 |
///Return a vector divided by a scalar |
| 155 | 154 |
Point<T> operator/(const T &u) const {
|
| 156 | 155 |
Point<T> b=*this; |
| 157 | 156 |
return b/=u; |
| 158 | 157 |
} |
| 159 | 158 |
|
| 160 | 159 |
///Test equality |
| 161 | 160 |
bool operator==(const Point<T> &u) const {
|
| 162 | 161 |
return (x==u.x) && (y==u.y); |
| 163 | 162 |
} |
| 164 | 163 |
|
| 165 | 164 |
///Test inequality |
| 166 | 165 |
bool operator!=(Point u) const {
|
| 167 | 166 |
return (x!=u.x) || (y!=u.y); |
| 168 | 167 |
} |
| 169 | 168 |
|
| 170 | 169 |
}; |
| 171 | 170 |
|
| 172 | 171 |
///Return a Point |
| 173 | 172 |
|
| 174 | 173 |
///Return a Point. |
| 175 | 174 |
///\relates Point |
| 176 | 175 |
template <typename T> |
| 177 | 176 |
inline Point<T> makePoint(const T& x, const T& y) {
|
| 178 | 177 |
return Point<T>(x, y); |
| 179 | 178 |
} |
| 180 | 179 |
|
| 181 | 180 |
///Return a vector multiplied by a scalar |
| 182 | 181 |
|
| 183 | 182 |
///Return a vector multiplied by a scalar. |
| 184 | 183 |
///\relates Point |
| 185 | 184 |
template<typename T> Point<T> operator*(const T &u,const Point<T> &x) {
|
| 186 | 185 |
return x*u; |
| 187 | 186 |
} |
| 188 | 187 |
|
| 189 |
///Read a |
|
| 188 |
///Read a plain vector from a stream |
|
| 190 | 189 |
|
| 191 |
///Read a |
|
| 190 |
///Read a plain vector from a stream. |
|
| 192 | 191 |
///\relates Point |
| 193 | 192 |
/// |
| 194 | 193 |
template<typename T> |
| 195 | 194 |
inline std::istream& operator>>(std::istream &is, Point<T> &z) {
|
| 196 | 195 |
char c; |
| 197 | 196 |
if (is >> c) {
|
| 198 | 197 |
if (c != '(') is.putback(c);
|
| 199 | 198 |
} else {
|
| 200 | 199 |
is.clear(); |
| 201 | 200 |
} |
| 202 | 201 |
if (!(is >> z.x)) return is; |
| 203 | 202 |
if (is >> c) {
|
| 204 | 203 |
if (c != ',') is.putback(c); |
| 205 | 204 |
} else {
|
| 206 | 205 |
is.clear(); |
| 207 | 206 |
} |
| 208 | 207 |
if (!(is >> z.y)) return is; |
| 209 | 208 |
if (is >> c) {
|
| 210 | 209 |
if (c != ')') is.putback(c); |
| 211 | 210 |
} else {
|
| 212 | 211 |
is.clear(); |
| 213 | 212 |
} |
| 214 | 213 |
return is; |
| 215 | 214 |
} |
| 216 | 215 |
|
| 217 |
///Write a |
|
| 216 |
///Write a plain vector to a stream |
|
| 218 | 217 |
|
| 219 |
///Write a |
|
| 218 |
///Write a plain vector to a stream. |
|
| 220 | 219 |
///\relates Point |
| 221 | 220 |
/// |
| 222 | 221 |
template<typename T> |
| 223 | 222 |
inline std::ostream& operator<<(std::ostream &os, const Point<T>& z) |
| 224 | 223 |
{
|
| 225 | 224 |
os << "(" << z.x << ", " << z.y << ")";
|
| 226 | 225 |
return os; |
| 227 | 226 |
} |
| 228 | 227 |
|
| 229 | 228 |
///Rotate by 90 degrees |
| 230 | 229 |
|
| 231 | 230 |
///Returns the parameter rotated by 90 degrees in positive direction. |
| 232 | 231 |
///\relates Point |
| 233 | 232 |
/// |
| 234 | 233 |
template<typename T> |
| 235 | 234 |
inline Point<T> rot90(const Point<T> &z) |
| 236 | 235 |
{
|
| 237 | 236 |
return Point<T>(-z.y,z.x); |
| 238 | 237 |
} |
| 239 | 238 |
|
| 240 | 239 |
///Rotate by 180 degrees |
| 241 | 240 |
|
| 242 | 241 |
///Returns the parameter rotated by 180 degrees. |
| 243 | 242 |
///\relates Point |
| 244 | 243 |
/// |
| 245 | 244 |
template<typename T> |
| 246 | 245 |
inline Point<T> rot180(const Point<T> &z) |
| 247 | 246 |
{
|
| 248 | 247 |
return Point<T>(-z.x,-z.y); |
| 249 | 248 |
} |
| 250 | 249 |
|
| 251 | 250 |
///Rotate by 270 degrees |
| 252 | 251 |
|
| 253 | 252 |
///Returns the parameter rotated by 90 degrees in negative direction. |
| 254 | 253 |
///\relates Point |
| 255 | 254 |
/// |
| 256 | 255 |
template<typename T> |
| 257 | 256 |
inline Point<T> rot270(const Point<T> &z) |
| 258 | 257 |
{
|
| 259 | 258 |
return Point<T>(z.y,-z.x); |
| 260 | 259 |
} |
| 261 | 260 |
|
| 262 | 261 |
|
| 263 | 262 |
|
| 264 |
/// A class to calculate or store the bounding box of |
|
| 263 |
/// A class to calculate or store the bounding box of plain vectors. |
|
| 265 | 264 |
|
| 266 |
/// A class to calculate or store the bounding box of plainvectors. |
|
| 267 |
/// |
|
| 265 |
/// A class to calculate or store the bounding box of plain vectors. |
|
| 266 |
/// |
|
| 268 | 267 |
template<typename T> |
| 269 | 268 |
class BoundingBox {
|
| 270 |
Point<T> |
|
| 269 |
Point<T> _bottom_left, _top_right; |
|
| 271 | 270 |
bool _empty; |
| 272 | 271 |
public: |
| 273 | 272 |
|
| 274 | 273 |
///Default constructor: creates an empty bounding box |
| 275 | 274 |
BoundingBox() { _empty = true; }
|
| 276 | 275 |
|
| 277 | 276 |
///Construct an instance from one point |
| 278 |
BoundingBox(Point<T> a) {
|
|
| 277 |
BoundingBox(Point<T> a) {
|
|
| 278 |
_bottom_left = _top_right = a; |
|
| 279 |
_empty = false; |
|
| 280 |
} |
|
| 279 | 281 |
|
| 280 | 282 |
///Construct an instance from two points |
| 281 | 283 |
|
| 282 | 284 |
///Construct an instance from two points. |
| 283 | 285 |
///\param a The bottom left corner. |
| 284 | 286 |
///\param b The top right corner. |
| 285 | 287 |
///\warning The coordinates of the bottom left corner must be no more |
| 286 | 288 |
///than those of the top right one. |
| 287 | 289 |
BoundingBox(Point<T> a,Point<T> b) |
| 288 | 290 |
{
|
| 289 |
bottom_left=a; |
|
| 290 |
top_right=b; |
|
| 291 |
_bottom_left = a; |
|
| 292 |
_top_right = b; |
|
| 291 | 293 |
_empty = false; |
| 292 | 294 |
} |
| 293 | 295 |
|
| 294 | 296 |
///Construct an instance from four numbers |
| 295 | 297 |
|
| 296 | 298 |
///Construct an instance from four numbers. |
| 297 | 299 |
///\param l The left side of the box. |
| 298 | 300 |
///\param b The bottom of the box. |
| 299 | 301 |
///\param r The right side of the box. |
| 300 | 302 |
///\param t The top of the box. |
| 301 | 303 |
///\warning The left side must be no more than the right side and |
| 302 | 304 |
///bottom must be no more than the top. |
| 303 | 305 |
BoundingBox(T l,T b,T r,T t) |
| 304 | 306 |
{
|
| 305 |
bottom_left=Point<T>(l,b); |
|
| 306 |
top_right=Point<T>(r,t); |
|
| 307 |
_bottom_left=Point<T>(l,b); |
|
| 308 |
_top_right=Point<T>(r,t); |
|
| 307 | 309 |
_empty = false; |
| 308 | 310 |
} |
| 309 | 311 |
|
| 310 | 312 |
///Return \c true if the bounding box is empty. |
| 311 | 313 |
|
| 312 | 314 |
///Return \c true if the bounding box is empty (i.e. return \c false |
| 313 | 315 |
///if at least one point was added to the box or the coordinates of |
| 314 | 316 |
///the box were set). |
| 315 | 317 |
/// |
| 316 | 318 |
///The coordinates of an empty bounding box are not defined. |
| 317 | 319 |
bool empty() const {
|
| 318 | 320 |
return _empty; |
| 319 | 321 |
} |
| 320 | 322 |
|
| 321 | 323 |
///Make the BoundingBox empty |
| 322 | 324 |
void clear() {
|
| 323 |
_empty= |
|
| 325 |
_empty = true; |
|
| 324 | 326 |
} |
| 325 | 327 |
|
| 326 | 328 |
///Give back the bottom left corner of the box |
| 327 | 329 |
|
| 328 | 330 |
///Give back the bottom left corner of the box. |
| 329 | 331 |
///If the bounding box is empty, then the return value is not defined. |
| 330 | 332 |
Point<T> bottomLeft() const {
|
| 331 |
return |
|
| 333 |
return _bottom_left; |
|
| 332 | 334 |
} |
| 333 | 335 |
|
| 334 | 336 |
///Set the bottom left corner of the box |
| 335 | 337 |
|
| 336 | 338 |
///Set the bottom left corner of the box. |
| 337 |
/// |
|
| 339 |
///\pre The box must not be empty. |
|
| 338 | 340 |
void bottomLeft(Point<T> p) {
|
| 339 |
|
|
| 341 |
_bottom_left = p; |
|
| 340 | 342 |
} |
| 341 | 343 |
|
| 342 | 344 |
///Give back the top right corner of the box |
| 343 | 345 |
|
| 344 | 346 |
///Give back the top right corner of the box. |
| 345 | 347 |
///If the bounding box is empty, then the return value is not defined. |
| 346 | 348 |
Point<T> topRight() const {
|
| 347 |
return |
|
| 349 |
return _top_right; |
|
| 348 | 350 |
} |
| 349 | 351 |
|
| 350 | 352 |
///Set the top right corner of the box |
| 351 | 353 |
|
| 352 | 354 |
///Set the top right corner of the box. |
| 353 |
/// |
|
| 355 |
///\pre The box must not be empty. |
|
| 354 | 356 |
void topRight(Point<T> p) {
|
| 355 |
|
|
| 357 |
_top_right = p; |
|
| 356 | 358 |
} |
| 357 | 359 |
|
| 358 | 360 |
///Give back the bottom right corner of the box |
| 359 | 361 |
|
| 360 | 362 |
///Give back the bottom right corner of the box. |
| 361 | 363 |
///If the bounding box is empty, then the return value is not defined. |
| 362 | 364 |
Point<T> bottomRight() const {
|
| 363 |
return Point<T>( |
|
| 365 |
return Point<T>(_top_right.x,_bottom_left.y); |
|
| 364 | 366 |
} |
| 365 | 367 |
|
| 366 | 368 |
///Set the bottom right corner of the box |
| 367 | 369 |
|
| 368 | 370 |
///Set the bottom right corner of the box. |
| 369 |
/// |
|
| 371 |
///\pre The box must not be empty. |
|
| 370 | 372 |
void bottomRight(Point<T> p) {
|
| 371 |
top_right.x = p.x; |
|
| 372 |
bottom_left.y = p.y; |
|
| 373 |
_top_right.x = p.x; |
|
| 374 |
_bottom_left.y = p.y; |
|
| 373 | 375 |
} |
| 374 | 376 |
|
| 375 | 377 |
///Give back the top left corner of the box |
| 376 | 378 |
|
| 377 | 379 |
///Give back the top left corner of the box. |
| 378 | 380 |
///If the bounding box is empty, then the return value is not defined. |
| 379 | 381 |
Point<T> topLeft() const {
|
| 380 |
return Point<T>( |
|
| 382 |
return Point<T>(_bottom_left.x,_top_right.y); |
|
| 381 | 383 |
} |
| 382 | 384 |
|
| 383 | 385 |
///Set the top left corner of the box |
| 384 | 386 |
|
| 385 | 387 |
///Set the top left corner of the box. |
| 386 |
/// |
|
| 388 |
///\pre The box must not be empty. |
|
| 387 | 389 |
void topLeft(Point<T> p) {
|
| 388 |
top_right.y = p.y; |
|
| 389 |
bottom_left.x = p.x; |
|
| 390 |
_top_right.y = p.y; |
|
| 391 |
_bottom_left.x = p.x; |
|
| 390 | 392 |
} |
| 391 | 393 |
|
| 392 | 394 |
///Give back the bottom of the box |
| 393 | 395 |
|
| 394 | 396 |
///Give back the bottom of the box. |
| 395 | 397 |
///If the bounding box is empty, then the return value is not defined. |
| 396 | 398 |
T bottom() const {
|
| 397 |
return |
|
| 399 |
return _bottom_left.y; |
|
| 398 | 400 |
} |
| 399 | 401 |
|
| 400 | 402 |
///Set the bottom of the box |
| 401 | 403 |
|
| 402 | 404 |
///Set the bottom of the box. |
| 403 |
/// |
|
| 405 |
///\pre The box must not be empty. |
|
| 404 | 406 |
void bottom(T t) {
|
| 405 |
|
|
| 407 |
_bottom_left.y = t; |
|
| 406 | 408 |
} |
| 407 | 409 |
|
| 408 | 410 |
///Give back the top of the box |
| 409 | 411 |
|
| 410 | 412 |
///Give back the top of the box. |
| 411 | 413 |
///If the bounding box is empty, then the return value is not defined. |
| 412 | 414 |
T top() const {
|
| 413 |
return |
|
| 415 |
return _top_right.y; |
|
| 414 | 416 |
} |
| 415 | 417 |
|
| 416 | 418 |
///Set the top of the box |
| 417 | 419 |
|
| 418 | 420 |
///Set the top of the box. |
| 419 |
/// |
|
| 421 |
///\pre The box must not be empty. |
|
| 420 | 422 |
void top(T t) {
|
| 421 |
|
|
| 423 |
_top_right.y = t; |
|
| 422 | 424 |
} |
| 423 | 425 |
|
| 424 | 426 |
///Give back the left side of the box |
| 425 | 427 |
|
| 426 | 428 |
///Give back the left side of the box. |
| 427 | 429 |
///If the bounding box is empty, then the return value is not defined. |
| 428 | 430 |
T left() const {
|
| 429 |
return |
|
| 431 |
return _bottom_left.x; |
|
| 430 | 432 |
} |
| 431 | 433 |
|
| 432 | 434 |
///Set the left side of the box |
| 433 | 435 |
|
| 434 | 436 |
///Set the left side of the box. |
| 435 |
/// |
|
| 437 |
///\pre The box must not be empty. |
|
| 436 | 438 |
void left(T t) {
|
| 437 |
|
|
| 439 |
_bottom_left.x = t; |
|
| 438 | 440 |
} |
| 439 | 441 |
|
| 440 | 442 |
/// Give back the right side of the box |
| 441 | 443 |
|
| 442 | 444 |
/// Give back the right side of the box. |
| 443 | 445 |
///If the bounding box is empty, then the return value is not defined. |
| 444 | 446 |
T right() const {
|
| 445 |
return |
|
| 447 |
return _top_right.x; |
|
| 446 | 448 |
} |
| 447 | 449 |
|
| 448 | 450 |
///Set the right side of the box |
| 449 | 451 |
|
| 450 | 452 |
///Set the right side of the box. |
| 451 |
/// |
|
| 453 |
///\pre The box must not be empty. |
|
| 452 | 454 |
void right(T t) {
|
| 453 |
|
|
| 455 |
_top_right.x = t; |
|
| 454 | 456 |
} |
| 455 | 457 |
|
| 456 | 458 |
///Give back the height of the box |
| 457 | 459 |
|
| 458 | 460 |
///Give back the height of the box. |
| 459 | 461 |
///If the bounding box is empty, then the return value is not defined. |
| 460 | 462 |
T height() const {
|
| 461 |
return |
|
| 463 |
return _top_right.y-_bottom_left.y; |
|
| 462 | 464 |
} |
| 463 | 465 |
|
| 464 | 466 |
///Give back the width of the box |
| 465 | 467 |
|
| 466 | 468 |
///Give back the width of the box. |
| 467 | 469 |
///If the bounding box is empty, then the return value is not defined. |
| 468 | 470 |
T width() const {
|
| 469 |
return |
|
| 471 |
return _top_right.x-_bottom_left.x; |
|
| 470 | 472 |
} |
| 471 | 473 |
|
| 472 | 474 |
///Checks whether a point is inside a bounding box |
| 473 | 475 |
bool inside(const Point<T>& u) const {
|
| 474 | 476 |
if (_empty) |
| 475 | 477 |
return false; |
| 476 |
else{
|
|
| 477 |
return ((u.x-bottom_left.x)*(top_right.x-u.x) >= 0 && |
|
| 478 |
|
|
| 478 |
else {
|
|
| 479 |
return ( (u.x-_bottom_left.x)*(_top_right.x-u.x) >= 0 && |
|
| 480 |
(u.y-_bottom_left.y)*(_top_right.y-u.y) >= 0 ); |
|
| 479 | 481 |
} |
| 480 | 482 |
} |
| 481 | 483 |
|
| 482 | 484 |
///Increments a bounding box with a point |
| 483 | 485 |
|
| 484 | 486 |
///Increments a bounding box with a point. |
| 485 | 487 |
/// |
| 486 | 488 |
BoundingBox& add(const Point<T>& u){
|
| 487 |
if (_empty){
|
|
| 488 |
bottom_left=top_right=u; |
|
| 489 |
if (_empty) {
|
|
| 490 |
_bottom_left = _top_right = u; |
|
| 489 | 491 |
_empty = false; |
| 490 | 492 |
} |
| 491 |
else{
|
|
| 492 |
if (bottom_left.x > u.x) bottom_left.x = u.x; |
|
| 493 |
if (bottom_left.y > u.y) bottom_left.y = u.y; |
|
| 494 |
if (top_right.x < u.x) top_right.x = u.x; |
|
| 495 |
|
|
| 493 |
else {
|
|
| 494 |
if (_bottom_left.x > u.x) _bottom_left.x = u.x; |
|
| 495 |
if (_bottom_left.y > u.y) _bottom_left.y = u.y; |
|
| 496 |
if (_top_right.x < u.x) _top_right.x = u.x; |
|
| 497 |
if (_top_right.y < u.y) _top_right.y = u.y; |
|
| 496 | 498 |
} |
| 497 | 499 |
return *this; |
| 498 | 500 |
} |
| 499 | 501 |
|
| 500 | 502 |
///Increments a bounding box to contain another bounding box |
| 501 | 503 |
|
| 502 | 504 |
///Increments a bounding box to contain another bounding box. |
| 503 | 505 |
/// |
| 504 | 506 |
BoundingBox& add(const BoundingBox &u){
|
| 505 | 507 |
if ( !u.empty() ){
|
| 506 |
this->add(u.bottomLeft()); |
|
| 507 |
this->add(u.topRight()); |
|
| 508 |
add(u._bottom_left); |
|
| 509 |
add(u._top_right); |
|
| 508 | 510 |
} |
| 509 | 511 |
return *this; |
| 510 | 512 |
} |
| 511 | 513 |
|
| 512 | 514 |
///Intersection of two bounding boxes |
| 513 | 515 |
|
| 514 | 516 |
///Intersection of two bounding boxes. |
| 515 | 517 |
/// |
| 516 | 518 |
BoundingBox operator&(const BoundingBox& u) const {
|
| 517 | 519 |
BoundingBox b; |
| 518 |
if ( |
|
| 520 |
if (_empty || u._empty) {
|
|
| 519 | 521 |
b._empty = true; |
| 520 | 522 |
} else {
|
| 521 |
b.bottom_left.x = std::max(this->bottom_left.x,u.bottom_left.x); |
|
| 522 |
b.bottom_left.y = std::max(this->bottom_left.y,u.bottom_left.y); |
|
| 523 |
b.top_right.x = std::min(this->top_right.x,u.top_right.x); |
|
| 524 |
b.top_right.y = std::min(this->top_right.y,u.top_right.y); |
|
| 525 |
b._empty = b.bottom_left.x > b.top_right.x || |
|
| 526 |
b.bottom_left.y > b.top_right.y; |
|
| 523 |
b._bottom_left.x = std::max(_bottom_left.x, u._bottom_left.x); |
|
| 524 |
b._bottom_left.y = std::max(_bottom_left.y, u._bottom_left.y); |
|
| 525 |
b._top_right.x = std::min(_top_right.x, u._top_right.x); |
|
| 526 |
b._top_right.y = std::min(_top_right.y, u._top_right.y); |
|
| 527 |
b._empty = b._bottom_left.x > b._top_right.x || |
|
| 528 |
b._bottom_left.y > b._top_right.y; |
|
| 527 | 529 |
} |
| 528 | 530 |
return b; |
| 529 | 531 |
} |
| 530 | 532 |
|
| 531 | 533 |
};//class Boundingbox |
| 532 | 534 |
|
| 533 | 535 |
|
| 534 | 536 |
///Map of x-coordinates of a \ref Point "Point"-map |
| 535 | 537 |
|
| 536 | 538 |
///\ingroup maps |
| 537 | 539 |
///Map of x-coordinates of a \ref Point "Point"-map. |
| 538 | 540 |
/// |
| 539 | 541 |
template<class M> |
| 540 | 542 |
class XMap |
| 541 | 543 |
{
|
| 542 | 544 |
M& _map; |
| 543 | 545 |
public: |
| 544 | 546 |
|
| 545 | 547 |
typedef typename M::Value::Value Value; |
| 546 | 548 |
typedef typename M::Key Key; |
| 547 | 549 |
///\e |
| 548 | 550 |
XMap(M& map) : _map(map) {}
|
| 549 | 551 |
Value operator[](Key k) const {return _map[k].x;}
|
| 550 | 552 |
void set(Key k,Value v) {_map.set(k,typename M::Value(v,_map[k].y));}
|
| 551 | 553 |
}; |
| 552 | 554 |
|
| 553 | 555 |
///Returns an \ref XMap class |
| 554 | 556 |
|
| 555 | 557 |
///This function just returns an \ref XMap class. |
| 556 | 558 |
/// |
| 557 | 559 |
///\ingroup maps |
| 558 | 560 |
///\relates XMap |
| 559 | 561 |
template<class M> |
| 560 | 562 |
inline XMap<M> xMap(M &m) |
| 561 | 563 |
{
|
| 562 | 564 |
return XMap<M>(m); |
| 563 | 565 |
} |
| 564 | 566 |
|
| 565 | 567 |
template<class M> |
| 566 | 568 |
inline XMap<M> xMap(const M &m) |
| 567 | 569 |
{
|
| 568 | 570 |
return XMap<M>(m); |
| 569 | 571 |
} |
| 570 | 572 |
|
| 571 | 573 |
///Constant (read only) version of \ref XMap |
| 572 | 574 |
|
| 573 | 575 |
///\ingroup maps |
| 574 | 576 |
///Constant (read only) version of \ref XMap |
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