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| <title>Boost Polygon Library: Rectangle Concept</title> |
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| <div style="padding: 5px;" align="center"> <img |
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| <h3 class="navbar">Contents</h3> |
| <ul> |
| <li><a href="index.htm">Boost.Polygon Main Page</a></li> |
| <li><a href="gtl_design_overview.htm">Design Overview</a></li> |
| <li><a href="gtl_isotropy.htm">Isotropy</a></li> |
| <li><a href="gtl_coordinate_concept.htm">Coordinate Concept</a></li> |
| <li><a href="gtl_interval_concept.htm">Interval Concept</a></li> |
| <li><a href="gtl_point_concept.htm">Point Concept</a></li> |
| <li><a href="gtl_segment_concept.htm">Segment Concept</a></li> |
| <li>Rectangle Concept</li> |
| <li><a href="gtl_polygon_90_concept.htm">Polygon 90 Concept</a></li> |
| <li><a href="gtl_polygon_90_with_holes_concept.htm">Polygon 90 |
| With Holes Concept</a></li> |
| <li><a href="gtl_polygon_45_concept.htm">Polygon 45 Concept</a></li> |
| <li><a href="gtl_polygon_45_with_holes_concept.htm">Polygon 45 |
| With Holes Concept</a></li> |
| <li><a href="gtl_polygon_concept.htm">Polygon Concept</a></li> |
| <li><a href="gtl_polygon_with_holes_concept.htm">Polygon With |
| Holes Concept</a></li> |
| <li><a href="gtl_polygon_90_set_concept.htm">Polygon 90 Set |
| Concept</a></li> |
| <li><a href="gtl_polygon_45_set_concept.htm">Polygon 45 Set |
| Concept</a></li> |
| <li><a href="gtl_polygon_set_concept.htm">Polygon Set Concept</a></li> |
| <li><a href="gtl_connectivity_extraction_90.htm">Connectivity |
| Extraction 90</a></li> |
| <li><a href="gtl_connectivity_extraction_45.htm">Connectivity |
| Extraction 45</a></li> |
| <li><a href="gtl_connectivity_extraction.htm">Connectivity |
| Extraction</a></li> |
| <li><a href="gtl_property_merge_90.htm">Property Merge 90</a></li> |
| <li><a href="gtl_property_merge_45.htm">Property Merge 45</a></li> |
| <li><a href="gtl_property_merge.htm">Property Merge</a></li> |
| <li><a href="voronoi_main.htm">Voronoi Main Page<br /> |
| </a></li> |
| <li><a href="voronoi_benchmark.htm">Voronoi Benchmark</a><br /> |
| </li> |
| <li><a href="voronoi_builder.htm">Voronoi Builder</a></li> |
| <li><a href="voronoi_diagram.htm">Voronoi Diagram</a></li> |
| </ul> |
| <h3 class="navbar">Other Resources</h3> |
| <ul> |
| <li><a href="GTL_boostcon2009.pdf">GTL Boostcon 2009 Paper</a></li> |
| <li><a href="GTL_boostcon_draft03.pdf">GTL Boostcon 2009 |
| Presentation</a></li> |
| <li><a href="analysis.htm">Performance Analysis</a></li> |
| <li><a href="gtl_tutorial.htm">Layout Versus Schematic Tutorial</a></li> |
| <li><a href="gtl_minkowski_tutorial.htm">Minkowski Sum Tutorial</a></li> |
| <li><a href="voronoi_basic_tutorial.htm">Voronoi Basic Tutorial</a></li> |
| <li><a href="voronoi_advanced_tutorial.htm">Voronoi Advanced |
| Tutorial</a></li> |
| </ul> |
| </div> |
| <h3 class="navbar">Polygon Sponsor</h3> |
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| <p> |
| </p> |
| <h1>Rectangle Concept</h1> |
| <p> </p> |
| <p>The rectangle concept tag is <font face="Courier New"> |
| rectangle_concept</font></p> |
| <p> To register a user defined type as a model of <font |
| face="Times New Roman">rectangle </font>concept, specialize the |
| geometry concept meta-function for that type. In the example |
| below CRectangle is registered as a model of rectangle concept.</p> |
| <p> <font face="Courier New">template <><br /> |
| struct geometry_concept<CRectangle> { typedef rectangle_concept |
| type; };</font></p> |
| <p> <font face="Times New Roman">The semantic of a rectangle is |
| that it has an x and a y interval and these intervals conform to the |
| semantic of an interval including its invariant. This invariant |
| on the intervals of a rectangle is enforced by the generic library |
| functions that operate on rectangles, and is not expected of the data |
| type itself or the concept mapping of that data type to the rectangle |
| concept through its traits. In this way a boost::tuple<int, |
| int, int, int> or boost::array<int, 4> could be made models of |
| rectangle by simply providing indirect access to their elements through |
| traits.</font></p> |
| <p> <font face="Times New Roman">Below is shown the default |
| rectangle traits. Specialization of these traits is required for |
| types that don't conform to the default behavior. The interested |
| reader will note SFINAE is used on the traits to allow only an object |
| that provides a member type definition of interval_type to work with |
| the default read only traits. This becomes necessary when |
| refinements of concepts are used and it is undesirable to attempt to |
| match default traits to non-rectangle types at compile time. |
| Specializing rectangle_traits can be done easily by simply providing |
| gtl_yes as the enable parameter.</font></p> |
| <p> <font face="Courier New">template <typename T, typename |
| enable = gtl_yes><br /> |
| struct rectangle_traits {};</font></p> |
| <p> <font face="Courier New">template <typename T><br /> |
| struct rectangle_traits<T, gtl_no> {};<br /> |
| <br /> |
| template <typename T><br /> |
| struct rectangle_traits<T, typename gtl_same_type<typename |
| T::interval_type, typename T::interval_type>::type> {<br /> |
| typedef typename T::coordinate_type |
| coordinate_type;<br /> |
| typedef typename T::interval_type |
| interval_type;<br /> |
| static inline interval_type get(const T& |
| rectangle, orientation_2d orient) {<br /> |
| return |
| rectangle.get(orient); }<br /> |
| };<br /> |
| <br /> |
| template <typename T><br /> |
| struct rectangle_mutable_traits {<br /> |
| template <typename T2><br /> |
| static inline void set(T& rectangle, |
| orientation_2d orient, const T2& interval) {<br /> |
| |
| rectangle.set(orient, interval); }<br /> |
| template <typename T2, typename T3><br /> |
| static inline T construct(const T2& |
| interval_horizontal, const T3& interval_vertical) {<br /> |
| return |
| T(interval_horizontal, interval_vertical); }<br /> |
| };</font></p> |
| <h2>Functions</h2> |
| <table id="table1" border="1" width="100%"> |
| <tbody> |
| <tr> |
| <td width="586"><font face="Courier New">template |
| <typename T><br /> |
| interval_type <b>get</b>(const T& rectangle, orientation_2d)</font></td> |
| <td><font face="Times New Roman">Expects a model of |
| rectangle. Returns the x interval or y interval of the rectangle, |
| depending on the orientation_2d value.</font><font face="Courier New"><br /> |
| </font></td> |
| </tr> |
| <tr> |
| <td width="586"><font face="Courier New">template |
| <typename T, typename coordinate_type><br /> |
| void <b>set</b>(T& rectangle, orientation_2d, coordinate_type)</font></td> |
| <td><font face="Times New Roman">Expects a model of |
| rectangle. Sets the x interval or y interval of the |
| rectangle to the coordinate, depending on the orientation_2d value.</font></td> |
| </tr> |
| <tr> |
| <td width="586"><font face="Courier New">template |
| <typename T><br /> |
| interval_type <b>get</b>(const T& rectangle, orientation_2d, <br /> |
| |
| direction_1d)</font></td> |
| <td><font face="Times New Roman">Expects |
| a model of rectangle. Returns the coordinate specificed by the |
| direction_1d value of the x interval or y interval of the rectangle, |
| depending on the orientation_2d value.</font><font face="Courier New"><br /> |
| </font></td> |
| </tr> |
| <tr> |
| <td width="586"><font face="Courier New">template |
| <typename T, typename coordinate_type><br /> |
| void <b>set</b>(T& rectangle, orientation_2d, direction_1d, <br /> |
| coordinate_type)</font></td> |
| <td><font face="Times New Roman">Expects a model of |
| rectangle. Sets the coordinate specified by the |
| direction_1d value of the x interval or y interval of the rectangle to |
| the coordinate, depending on the orientation_2d value.</font></td> |
| </tr> |
| <tr> |
| <td width="586"><font face="Courier New">template |
| <typename T, typename T2><br /> |
| T <b>construct</b>(const T2& h, const T2& v)</font></td> |
| <td>Construct an object that is a model of rectangle given |
| x interval and y intervals.</td> |
| </tr> |
| <tr> |
| <td width="586"><font face="Courier New">template |
| <typename T, typename T2><br /> |
| T <b>construct</b>(coordinate_type xl, coordinate_type yl, <br /> |
| |
| coordinate_type xh, coordinate_type yh)</font></td> |
| <td>Construct an object that is a model of rectangle given |
| four coordinate values.</td> |
| </tr> |
| <tr> |
| <td width="586"><font face="Courier New">template |
| <typename T1, typename T2><br /> |
| T1& <b>assign</b>(T1& left, const T2& right)</font></td> |
| <td>Copies data from right object that models rectangle |
| into left object that models rectangle.</td> |
| </tr> |
| <tr> |
| <td width="586"><font face="Courier New">template |
| <typename T, typename T2><br /> |
| bool <b>equivalence</b>(const T& rectangle1, </font> <br /> |
| <font face="Courier New"> |
| const T2& rectangle2)</font></td> |
| <td>Given two objects that model rectangle, compares and |
| returns true if their x and y intervals are respectively equivalent.</td> |
| </tr> |
| <tr> |
| <td width="586"><font face="Courier New">template |
| <typename T, typename point_type><br /> |
| bool <b>contains</b>(const T&, const point_type& point, <br /> |
| |
| bool consider_touch=true)</font></td> |
| <td>Given an object that models rectangle and an object |
| that models point, returns true if the rectangle contains the |
| point. If the consider_touch flag is true will return true if the |
| point lies along the boundary of the rectangle.</td> |
| </tr> |
| <tr> |
| <td width="586"><font face="Courier New">template |
| <typename T1, typename T2><br /> |
| bool <b>contains</b>(const T1& a, const T2& b, <br /> |
| |
| bool consider_touch = true) </font></td> |
| <td>Returns true if model of rectangle a contains both |
| intervals of model of rectangle b. If the consider_touch flag is |
| true will consider rectangle b contained even if it touches the |
| boundary of a.</td> |
| </tr> |
| <tr> |
| <td width="586"><font face="Courier New">template |
| <typename T><br /> |
| interval_type <b>horizontal</b>(const T& rectangle)</font></td> |
| <td>Returns the x interval of an object that models |
| rectangle.</td> |
| </tr> |
| <tr> |
| <td width="586"><font face="Courier New">template |
| <typename T><br /> |
| interval_type <b>vertical</b>(const T& rectangle)</font></td> |
| <td>Returns the y interval of an object that models |
| rectangle.</td> |
| </tr> |
| <tr> |
| <td width="586"><font face="Courier New">template |
| <typename T><br /> |
| coordinate_type <b>xl</b>(const T& rectangle)</font></td> |
| <td>Returns the west coordinate of an object that models |
| rectangle.</td> |
| </tr> |
| <tr> |
| <td width="586"><font face="Courier New">template |
| <typename T><br /> |
| coordinate_type <b>xh</b>(const T& rectangle)</font></td> |
| <td>Returns the east coordinate of an object that models |
| rectangle.</td> |
| </tr> |
| <tr> |
| <td width="586"><font face="Courier New">template |
| <typename T><br /> |
| coordinate_type <b>yl</b>(const T& rectangle)</font></td> |
| <td>Returns the south coordinate of an object that models |
| rectangle.</td> |
| </tr> |
| <tr> |
| <td width="586"><font face="Courier New">template |
| <typename T><br /> |
| coordinate_type <b>yh</b>(const T& rectangle)</font></td> |
| <td>Returns the north coordinate of an object that models |
| rectangle.</td> |
| </tr> |
| <tr> |
| <td width="586"><font face="Courier New">template |
| <typename T><br /> |
| point_type <b>ll</b>(const T& rectangle)</font></td> |
| <td>Returns the lower left corner point of an object that |
| models rectangle.</td> |
| </tr> |
| <tr> |
| <td width="586"><font face="Courier New">template |
| <typename T><br /> |
| point_type <b>lr</b>(const T& rectangle)</font></td> |
| <td>Returns the lower right corner point of an object that |
| models rectangle.</td> |
| </tr> |
| <tr> |
| <td width="586"><font face="Courier New">template |
| <typename T><br /> |
| point_type <b>ul</b>(const T& rectangle)</font></td> |
| <td>Returns the upper left corner point of an object that |
| models rectangle.</td> |
| </tr> |
| <tr> |
| <td width="586"><font face="Courier New">template |
| <typename T><br /> |
| point_type <b>ur</b>(const T& rectangle)</font></td> |
| <td>Returns the upper right corner point of an object that |
| models rectangle.</td> |
| </tr> |
| <tr> |
| <td width="586"><font face="Courier New">// get the center |
| coordinate<br /> |
| template <typename T, typename point_type><br /> |
| void <b>center</b>(point_type& p, const T& rectangle)</font></td> |
| <td>Sets object that models point to the center point of an |
| object that models rectangle.</td> |
| </tr> |
| <tr> |
| <td width="586"><font face="Courier New">template |
| <typename T, typename interval_type><br /> |
| void <b>horizontal</b>(T& rectangle, const interval_type& i)</font></td> |
| <td>Sets the x interval of the object that models rectangle |
| to be equal to the value of an object that models interval.</td> |
| </tr> |
| <tr> |
| <td width="586"><font face="Courier New">template |
| <typename T, typename interval_type><br /> |
| void <b>vertical</b>(T& rectangle, const interval_type& i )</font></td> |
| <td>Sets the y interval of the object that models rectangle |
| to be equal to the value of an object that models interval.</td> |
| </tr> |
| <tr> |
| <td width="586"><font face="Courier New">template |
| <typename rectangle_type><br /> |
| void <b>xl</b>(rectangle_type& rectangle, coordinate_type )</font></td> |
| <td>Sets the west coordinate of the object that models |
| rectangle to be equal to the coordinate value.</td> |
| </tr> |
| <tr> |
| <td width="586"><font face="Courier New">template |
| <typename rectangle_type><br /> |
| void <b>xh</b>(rectangle_type& rectangle, coordinate_type )</font></td> |
| <td>Sets the east coordinate of the object that models |
| rectangle to be equal to the coordinate value.</td> |
| </tr> |
| <tr> |
| <td width="586"><font face="Courier New">template |
| <typename rectangle_type><br /> |
| void <b>yl</b>(rectangle_type& rectangle, coordinate_type )</font></td> |
| <td>Sets the south coordinate of the object that models |
| rectangle to be equal to the coordinate value.</td> |
| </tr> |
| <tr> |
| <td width="586"><font face="Courier New">template |
| <typename rectangle_type><br /> |
| void <b>yh</b>(rectangle_type& rectangle, coordinate_type )</font></td> |
| <td>Sets the north coordinate of the object that models |
| rectangle to be equal to the coordinate value.</td> |
| </tr> |
| <tr> |
| <td width="586"><font face="Courier New">template |
| <typename T, typename T1, typename T2><br /> |
| T& <b>set_points</b>(T& rectangle, const T1& p1, const |
| T2& p2)</font></td> |
| <td>Sets the rectangle to the rectangle fully described by |
| the points p1 and p2.</td> |
| </tr> |
| <tr> |
| <td width="586"><font face="Courier New">template |
| <typename T><br /> |
| coordinate_difference <b>delta</b>(const T& rectangle, <br /> |
| |
| orientation_2d)</font></td> |
| <td>Returns the delta of the interval specified by |
| orientation_2d of an object that models rectangle.</td> |
| </tr> |
| <tr> |
| <td width="586"><font face="Courier New">template |
| <typename T><br /> |
| manhattan_area_type <b>area</b>(const T& rectangle)</font></td> |
| <td>Returns the area of an object that models rectangle.</td> |
| </tr> |
| <tr> |
| <td width="586"><font face="Courier New">template |
| <typename T><br /> |
| coordinate_difference <b>half_perimeter</b>(const T& rectangle)</font></td> |
| <td>Returns the length plus width of an object that models |
| rectangle.</td> |
| </tr> |
| <tr> |
| <td width="586"><font face="Courier New">template |
| <typename T><br /> |
| coordinate_difference <b>perimeter</b>(const T& rectangle)</font></td> |
| <td>Returns the perimeter length of an object that models |
| rectangle.</td> |
| </tr> |
| <tr> |
| <td width="586"><font face="Courier New">template |
| <typename T><br /> |
| orientation_2d <b>quess_orientation</b>(const T& rectangle)</font></td> |
| <td>Returns the orientation in which the rectangle has a |
| longer delta. Returns HORIZONTAL if the rectangle is a square.</td> |
| </tr> |
| <tr> |
| <td width="586"><font face="Courier New">template |
| <typename rectangle_type><br /> |
| rectangle_type& <b>transform</b>(rectangle_type& rectangle,<br /> |
| |
| coordinate_type axis = 0)</font></td> |
| <td>Applies transform() on the two points that fully |
| describe the rectangle and sets the rectangle to that described by the |
| result of transforming those points.</td> |
| </tr> |
| <tr> |
| <td width="586"><font face="Courier New">template |
| <typename rectangle_type><br /> |
| rectangle_type& <b>scale_up</b>(rectangle_type& rectangle, <br /> |
| |
| unsigned_area_type factor)</font></td> |
| <td>Scales up x interval and y interval of an object |
| that models rectangle by unsigned factor.</td> |
| </tr> |
| <tr> |
| <td width="586"><font face="Courier New">template |
| <typename rectangle_type><br /> |
| rectangle_type& <b>scale_down</b>(rectangle_type& rectangle, <br /> |
| |
| unsigned_area_type factor)</font></td> |
| <td>Scales down x interval and y interval of an |
| object that models rectangle by unsigned factor.</td> |
| </tr> |
| <tr> |
| <td width="586"><font face="Courier New">template |
| <typename rectangle_type, scaling_type><br /> |
| rectangle_type& <b>scale</b>(rectangle_type& rectangle,<br /> |
| |
| const scaling_type& scaling) </font></td> |
| <td>Applies scale() on the two points that fully describe |
| the rectangle and sets the rectangle to that described by the result of |
| transforming those points.</td> |
| </tr> |
| <tr> |
| <td width="586"><font face="Courier New">template |
| <typename T><br /> |
| T& <b>move</b>(T& rectangle, orientation_2d,<br /> |
| coordinate_difference |
| displacement)</font></td> |
| <td>Adds displacement value to interval indicated by |
| orientation_2d of an object that models rectangle.</td> |
| </tr> |
| <tr> |
| <td width="586"><font face="Courier New">template |
| <typename rectangle_type, typename point_type><br /> |
| rectangle_type& <b>convolve</b>(rectangle_type& rectangle,<br /> |
| |
| const point_type& point)</font></td> |
| <td>Convolves coordinate values of point with x interval |
| and y interval of an object that models rectangle.</td> |
| </tr> |
| <tr> |
| <td width="586"><font face="Courier New">template |
| <typename rectangle_type, typename point_type><br /> |
| rectangle_type& <b>deconvolve</b>(rectangle_type& rectangle,<br /> |
| |
| const point_type& point)</font></td> |
| <td>Deconvolves coordinate values of point withx interval |
| and y interval of an object that models rectangle.</td> |
| </tr> |
| <tr> |
| <td width="586"><font face="Courier New">template |
| <typename T1, typename T2><br /> |
| T1& <b>convolve</b>(T1& a, const T2& b)</font></td> |
| <td>Convolves x interval of b with x interval |
| of a and convolves y interval of b with y interval of a.</td> |
| </tr> |
| <tr> |
| <td width="586"><font face="Courier New">template |
| <typename T1, typename T2><br /> |
| T1& <b>deconvolve</b>(T1& a, const T2& b)</font></td> |
| <td>Deconvolves x interval of b with x interval |
| of a and deconvolves y interval of b with y interval of a. </td> |
| </tr> |
| <tr> |
| <td width="586"><font face="Courier New">template |
| <typename T1, typename T2><br /> |
| T1& <b>reflected_convolve</b>(T1& a, const T2& b)</font></td> |
| <td>Reflected convolves y interval of b with x |
| interval of a and reflected convolves x interval of b with |
| y interval of a.</td> |
| </tr> |
| <tr> |
| <td width="586"><font face="Courier New">template |
| <typename T1, typename T2><br /> |
| T1& <b>reflected_deconvolve</b>(T1& a, const T2& b)</font></td> |
| <td>Reflected deconvolves y interval of b with x |
| interval of a and reflected deconvolves x interval of b |
| with y interval of a.</td> |
| </tr> |
| <tr> |
| <td width="586"><font face="Courier New">template |
| <typename T, typename point_type><br /> |
| coordinate_difference <b>euclidean_distance</b>(const T&,<br /> |
| const point_type& point, |
| orienation_2d)</font></td> |
| <td>Returns the distance from an object that models |
| rectangle to an object that models point along the given |
| orientation. Returns zero if the point is contained within the |
| rectangle along that orientation.</td> |
| </tr> |
| <tr> |
| <td width="586"><font face="Courier New">template |
| <typename T1, typename T2><br /> |
| coordinate_difference <b>euclidean_distance</b>(const T1& a,<br /> |
| const T2& b, orienation_2d)</font></td> |
| <td>Returns the distance from an object that models |
| rectangle to an object that models rectangle along the given |
| orientation. Returns zero if the intervals of the rectangles |
| overlap along that orientation.</td> |
| </tr> |
| <tr> |
| <td width="586"><font face="Courier New">template |
| <typename T, typename point_type><br /> |
| coordinate_difference <b>square_euclidean_distance</b>(const T&,<br /> |
| const point_type& point)</font></td> |
| <td>Returns the square of the Euclidean distance between a |
| point and a rectangle. Returns zero if the point is contained |
| within the rectangle.</td> |
| </tr> |
| <tr> |
| <td width="586"><font face="Courier New">template |
| <typename T1, typename T2><br /> |
| coordinate_difference <b>square_euclidean_distance</b><br /> |
| (const T1& a, const T2& b)</font></td> |
| <td>Returns the square of the Euclidean distance between |
| rectangles a and b. Returns zero if the rectangles intersect.</td> |
| </tr> |
| <tr> |
| <td width="586"><font face="Courier New">template |
| <typename T, typename point_type><br /> |
| coordinate_difference <b>manhattan_distance</b>(const T&,<br /> |
| const point_type& point)</font></td> |
| <td>Returns the Manhattan distance between a point and a |
| rectangle. Returns zero if the point is contained within the |
| rectangle.</td> |
| </tr> |
| <tr> |
| <td width="586"><font face="Courier New">template |
| <typename T1, typename T2><br /> |
| coordinate_difference <b>manhattan_distance</b>(const T1& a, <br /> |
| |
| const T2& b)</font></td> |
| <td>Returns the Manhattan distance between rectangles a and |
| b. Returns zero if the rectangles intersect.</td> |
| </tr> |
| <tr> |
| <td width="586"><font face="Courier New">template |
| <typename T, typename point_type><br /> |
| coordinate_distance <b>euclidean_distance</b>(const T&,<br /> |
| const point_type& point)</font></td> |
| <td>Returns the Euclidean distance between a point and a |
| rectangle. Returns zero if the point is contained within the |
| rectangle.</td> |
| </tr> |
| <tr> |
| <td width="586"><font face="Courier New">template |
| <typename T1, typename T2><br /> |
| coordinate_distance <b>euclidean_distance</b>(const T1& a, <br /> |
| |
| const T2& b)</font></td> |
| <td>Returns the Euclidean distance between rectangles a and |
| b. Returns zero if the rectangles intersect.</td> |
| </tr> |
| <tr> |
| <td width="586"><font face="Courier New">template |
| <typename T1, typename T2><br /> |
| bool <b>intersects</b>(const T1& a, const T2& b, <br /> |
| |
| bool consider_touch = true)</font></td> |
| <td>Returns true if two objects that model rectangle |
| overlap. If the consider_touch flag is true touching at the sides |
| or corners is considered overlap.</td> |
| </tr> |
| <tr> |
| <td width="586"><font face="Courier New">template |
| <typename T1, typename T2><br /> |
| bool <b>boundaries_intersect</b>(const T1& a, const T2& b, <br /> |
| |
| bool consider_touch = true)</font></td> |
| <td>Returns true is two objects that model rectangle |
| partially overlap such that one there is an intersection between the |
| edges of the two rectangles If the consider_touch flag is true a |
| coordinate is considered contained even if the two rectangles touch |
| only along a side or corner.</td> |
| </tr> |
| <tr> |
| <td width="586"><font face="Courier New">template |
| <typename T1, typename T2><br /> |
| bool <b>abuts</b>(const T1& a, const T2& b,<br /> |
| |
| direction_2d dir) </font></td> |
| <td>Returns true if rectangle b abuts but down not overlap |
| rectangle a on the side of rectangle a specified by dir.</td> |
| </tr> |
| <tr> |
| <td width="586"><font face="Courier New">template |
| <typename T1, typename T2><br /> |
| bool <b>abuts</b>(const T1& a, const T2& b,<br /> |
| |
| orientation_2d) </font></td> |
| <td>Returns true if rectangle b abuts but down not overlap |
| rectangle a on either side of rectangle a specified by the |
| orientation_2d.</td> |
| </tr> |
| <tr> |
| <td width="586"><font face="Courier New">template |
| <typename T1, typename T2><br /> |
| bool <b>abuts</b>(const T1& a, const T2& b)</font></td> |
| <td>Returns true if rectangle b abuts but down not overlap |
| rectangle a on any side.</td> |
| </tr> |
| <tr> |
| <td width="586"><font face="Courier New">template |
| <typename T1, typename T2><br /> |
| bool <b>intersect</b>(T1& a, const T2& b, orientation_2d<br /> |
| |
| bool consider_touch = true) </font></td> |
| <td>Sets rectangle a to the intersection of rectangle a and |
| interval b along the orientation_2d and returns true. If the does |
| not intersect the interval, the rectangle is unchanged and the function |
| returns false. If the flag consider_touch is true intervals that |
| abut are considered to intersect.</td> |
| </tr> |
| <tr> |
| <td width="586"><font face="Courier New">template |
| <typename T1, typename T2><br /> |
| bool <b>intersect</b>(T1& a, const T2& b,<br /> |
| |
| bool consider_touch = true) </font></td> |
| <td>Sets rectangle a to the intersection of rectangle a and |
| rectangle b and return true. If the two rectangles do not |
| intersect rectangle a is unchanged and the function returns |
| false. If the flag consider_touch is true rectangles that abut |
| are considered to intersect.</td> |
| </tr> |
| <tr> |
| <td width="586"><font face="Courier New">template |
| <typename T1, typename T2><br /> |
| T& <b>generalized_intersect</b>(T1& a, const T2& b)</font></td> |
| <td>Same as intersect, but if they do not intersect set a |
| to the rectangle between a and b by applying generalized_intersect() on |
| the intervals of the rectangles.</td> |
| </tr> |
| <tr> |
| <td width="586"><font face="Courier New">template |
| <typename T><br /> |
| T& <b>bloat</b>(T& rectangle, coordinate_type)</font></td> |
| <td>Bloats x and y intervals of rectangle by coordinate |
| value.</td> |
| </tr> |
| <tr> |
| <td width="586"><font face="Courier New">template |
| <typename T><br /> |
| T& <b>bloat</b>(T& rectangle, direction_2d, coordinate_type)</font></td> |
| <td>Bloats side of rectangle specified by direction_2d by |
| coordinate value.</td> |
| </tr> |
| <tr> |
| <td width="586"><font face="Courier New">template |
| <typename T><br /> |
| T& <b>bloat</b>(T& rectangle, orientation_2d, coordinate_type)</font></td> |
| <td>Bloats interval of rectangle specified by |
| orientation_2d by coordinate value.</td> |
| </tr> |
| <tr> |
| <td width="586"><font face="Courier New">template |
| <typename T><br /> |
| T& <b>shrink</b>(T& rectangle, coordinate_type)</font></td> |
| <td>Shrinks x and y intervals of rectangle by coordinate |
| value.</td> |
| </tr> |
| <tr> |
| <td width="586"><font face="Courier New">template |
| <typename T><br /> |
| T& <b>shrink</b>(T& rectangle, direction_2d, coordinate_type)</font></td> |
| <td>Shrinks side of rectangle specified by direction_2d by |
| coordinate value.</td> |
| </tr> |
| <tr> |
| <td width="586"><font face="Courier New">template |
| <typename T><br /> |
| T& <b>shrink</b>(T& rectangle, orientation_2d, coordinate_type)</font></td> |
| <td>Shrinks interval of rectangle specified by |
| orientation_2d by coordinate value.</td> |
| </tr> |
| <tr> |
| <td width="586"><font face="Courier New">template |
| <typename T1, typename T2><br /> |
| bool <b>encompass</b>(T1& a, const T2& b)</font></td> |
| <td>The x and y intervals of a are set to encompass the x |
| and y intervals of b respectively.</td> |
| </tr> |
| <tr> |
| <td width="586"><font face="Courier New">template |
| <typename T, typename point_type><br /> |
| bool <b>encompass</b>(T& rectangle, const point_type& point)</font></td> |
| <td>The x and y intervals of rectangle are set to encompass |
| the x and y coordinates of point respectively.</td> |
| </tr> |
| <tr> |
| <td width="586"><font face="Courier New">template |
| <typename T, typename interval_type><br /> |
| bool <b>encompass</b>(T& rectangle, const interval_type& i, <br /> |
| |
| orientation_2d)</font></td> |
| <td>The interval of rectangle specified by orientation_2d |
| is set to encompass the interval i.</td> |
| </tr> |
| <tr> |
| <td width="586"><font face="Courier New">template |
| <typename T, typename point_type><br /> |
| bool <b>get_corner</b>(point_type& point, const T& |
| rectangle, <br /> |
| |
| direction_2d, direction_1d)</font></td> |
| <td>Sets point to the corner of the rectangle you reach if |
| you look at its side specified by direction_2d from within the |
| rectangle and turn in the direction_1d direction (low == left, high = |
| right). Always returns true.</td> |
| </tr> |
| </tbody> |
| </table> |
| <h1>Rectangle Data</h1> |
| <p> </p> |
| <p>The library provides a model of rectangle concept declared |
| <font face="Courier New">template<typename T> |
| rectangle_data </font>where T is the coordinate type.</p> |
| <p>This data type is used internally when a rectangle is needed |
| and is available to the library user who finds it convenient to use a |
| library rectangle data type instead of providing their own. The |
| data type is implemented to be convenient to use with the library |
| traits.</p> |
| <h2>Members</h2> |
| <table id="table2" border="1" width="100%"> |
| <tbody> |
| <tr> |
| <td width="586"><b><font face="Courier New">geometry_type</font></b></td> |
| <td><font face="Times New Roman">rectangle_concept</font></td> |
| </tr> |
| <tr> |
| <td width="586"><b><font face="Courier New">coordinate_type</font></b></td> |
| <td><font face="Times New Roman">T</font></td> |
| </tr> |
| <tr> |
| <td width="586"><font face="Courier New"><b>interval_type</b></font></td> |
| <td><font face="Times New Roman">interval_data<T></font></td> |
| </tr> |
| <tr> |
| <td width="586"><font face="Courier New"><b>rectangle_data</b>(T |
| xl, T yl, T xh, T yh)</font></td> |
| <td><font face="Times New Roman">Constructs a rectangle |
| with four coordinates.</font></td> |
| </tr> |
| <tr> |
| <td width="586"><font face="Courier New">template |
| <typename T1, typename T2><b><br /> |
| rectangle_data</b>(const T1& horizontal_interval,<br /> |
| |
| const T2& vertical_interval)</font></td> |
| <td><font face="Times New Roman">Constructs a rectangle |
| with two objects that model interval.</font></td> |
| </tr> |
| <tr> |
| <td width="586"><font face="Courier New"><b>rectangle_data</b>(const |
| rectangle_data& that)</font></td> |
| <td><font face="Times New Roman">Copy construct</font></td> |
| </tr> |
| <tr> |
| <td width="586"><font face="Courier New">rectangle_data& |
| <b>operator=</b>(const rectangle_data& that)</font></td> |
| <td>Assignment operator.</td> |
| </tr> |
| <tr> |
| <td width="586"><font face="Courier New">template |
| <typename T2><b> <br /> |
| </b>rectangle_data& <b> operator=</b>(const T2& |
| that) const</font></td> |
| <td>Assign from an object that is a model of rectangle.</td> |
| </tr> |
| <tr> |
| <td width="586"><font face="Courier New">template |
| <typename T2><b> <br /> |
| </b>bool<b> operator==</b>(const T2& that) const</font></td> |
| <td>Compare equality to an object that is a model of |
| rectangle.</td> |
| </tr> |
| <tr> |
| <td width="586"><font face="Courier New">template |
| <typename T2><b> <br /> |
| </b>bool<b> operator!=</b>(const T2& that) const</font></td> |
| <td>Compare inequality to an object that is a model of |
| rectangle.</td> |
| </tr> |
| <tr> |
| <td width="586"><font face="Courier New">interval_data<T> |
| <b>get</b>(orientation_2d orient) const</font></td> |
| <td>Get the interval in the given orientation.</td> |
| </tr> |
| <tr> |
| <td width="586"><font face="Courier New">template |
| <typename T2><br /> |
| void <b>set</b>(orientation_2d orient, const T2& value)</font></td> |
| <td>Sets the interval in the given orientation to the value |
| of an object that models interval.</td> |
| </tr> |
| </tbody> |
| </table> |
| </td> |
| </tr> |
| <tr> |
| <td style="background-color: rgb(238, 238, 238);" nowrap="1" |
| valign="top"> </td> |
| <td |
| style="padding-left: 10px; padding-right: 10px; padding-bottom: 10px;" |
| valign="top" width="100%"> |
| <table class="docinfo" id="table8" frame="void" rules="none"> |
| <colgroup> <col class="docinfo-name" /><col |
| class="docinfo-content" /> </colgroup> <tbody valign="top"> |
| <tr> |
| <th class="docinfo-name">Copyright:</th> |
| <td>Copyright © Intel Corporation 2008-2010.</td> |
| </tr> |
| <tr class="field"> |
| <th class="docinfo-name">License:</th> |
| <td class="field-body">Distributed under the Boost Software |
| License, Version 1.0. (See accompanying file <tt class="literal"> <span |
| class="pre">LICENSE_1_0.txt</span></tt> or copy at <a |
| class="reference" target="_top" |
| href="http://www.boost.org/LICENSE_1_0.txt"> |
| http://www.boost.org/LICENSE_1_0.txt</a>)</td> |
| </tr> |
| </tbody> |
| </table> |
| </td> |
| </tr> |
| </tbody> |
| </table> |
| </body> |
| </html> |