|  | 
| template<typename Point1 , typename Point2 > | 
| void | add_point (Point1 &p1, Point2 const &p2) | 
|  | Adds a point to another.  More... 
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|  | 
| template<typename Point > | 
| void | add_value (Point &p, typename detail::param< Point >::type value) | 
|  | Adds the same value to each coordinate of a point.  More... 
 | 
|  | 
| template<typename Geometry , typename RangeOrPoint > | 
| void | append (Geometry &geometry, RangeOrPoint const &range_or_point, int ring_index=-1, int multi_index=0) | 
|  | Appends one or more points to a linestring, ring, polygon, multi-geometry.  More... 
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|  | 
| template<typename Geometry > | 
| default_area_result< Geometry > ::type
 | area (Geometry const &geometry) | 
|  | Calculates the area of a geometry.  More... 
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|  | 
| template<typename Geometry , typename Strategy > | 
| Strategy::return_type | area (Geometry const &geometry, Strategy const &strategy) | 
|  | Calculates the area of a geometry using the specified strategy.  More... 
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|  | 
| template<typename Geometry , int Dimensions> | 
| void | assert_dimension () | 
|  | assert_dimension, enables compile-time checking if coordinate dimensions are as expected  More... 
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|  | 
| template<typename G1 , typename G2 > | 
| void | assert_dimension_equal () | 
|  | assert_dimension_equal, enables compile-time checking if coordinate dimensions of two geometries are equal  More... 
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|  | 
| template<typename Geometry , int Dimensions> | 
| void | assert_dimension_greater_equal () | 
|  | 
| template<typename Geometry , int Dimensions> | 
| void | assert_dimension_less_equal () | 
|  | assert_dimension, enables compile-time checking if coordinate dimensions are as expected  More... 
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|  | 
| template<typename Geometry1 , typename Geometry2 > | 
| void | assign (Geometry1 &geometry1, Geometry2 const &geometry2) | 
|  | Assigns one geometry to another geometry.  More... 
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|  | 
| template<typename Geometry > | 
| void | assign_inverse (Geometry &geometry) | 
|  | assign to a box inverse infinite  More... 
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|  | 
| template<typename Point1 , typename Point2 > | 
| void | assign_point (Point1 &p1, Point2 const &p2) | 
|  | Assign a point with another.  More... 
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|  | 
| template<typename Geometry , typename Range > | 
| void | assign_points (Geometry &geometry, Range const &range) | 
|  | Assign a range of points to a linestring, ring or polygon.  More... 
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|  | 
| template<typename Point > | 
| void | assign_value (Point &p, typename detail::param< Point >::type value) | 
|  | Assign each coordinate of a point the same value.  More... 
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|  | 
| template<typename Geometry , typename Type > | 
| void | assign_values (Geometry &geometry, Type const &c1, Type const &c2) | 
|  | Assign two coordinates to a geometry (usually a 2D point)  More... 
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|  | 
| template<typename Geometry , typename Type > | 
| void | assign_values (Geometry &geometry, Type const &c1, Type const &c2, Type const &c3) | 
|  | Assign three values to a geometry (usually a 3D point)  More... 
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|  | 
| template<typename Geometry , typename Type > | 
| void | assign_values (Geometry &geometry, Type const &c1, Type const &c2, Type const &c3, Type const &c4) | 
|  | Assign four values to a geometry (usually a box or segment)  More... 
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|  | 
| template<typename Geometry > | 
| void | assign_zero (Geometry &geometry) | 
|  | assign zero values to a box, point  More... 
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|  | 
| template<typename Input , typename Output , typename Distance > | 
| void | buffer (Input const &geometry_in, Output &geometry_out, Distance const &distance, Distance const &chord_length=-1) | 
|  | Calculates the buffer of a geometry.  More... 
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|  | 
| template<typename GeometryIn , typename MultiPolygon , typename DistanceStrategy , typename SideStrategy , typename JoinStrategy , typename EndStrategy , typename PointStrategy > | 
| void | buffer (GeometryIn const &geometry_in, MultiPolygon &geometry_out, DistanceStrategy const &distance_strategy, SideStrategy const &side_strategy, JoinStrategy const &join_strategy, EndStrategy const &end_strategy, PointStrategy const &point_strategy) | 
|  | Calculates the buffer of a geometry.  More... 
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|  | 
| template<typename Geometry , typename Point , typename Strategy > | 
| void | centroid (Geometry const &geometry, Point &c, Strategy const &strategy) | 
|  | Calculates the centroid of a geometry using the specified strategy.  More... 
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|  | 
| template<typename Geometry , typename Point > | 
| void | centroid (Geometry const &geometry, Point &c) | 
|  | Calculates the centroid of a geometry.  More... 
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|  | 
| template<typename Geometry > | 
| void | clear (Geometry &geometry) | 
|  | Clears a linestring, ring or polygon (exterior+interiors) or multi*.  More... 
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|  | 
| template<typename Collection , typename Geometry > | 
| void | collect_vectors (Collection &collection, Geometry const &geometry) | 
|  | 
| template<typename Geometry1 , typename Geometry2 , typename Strategy > | 
| comparable_distance_result < Geometry1, Geometry2,
 Strategy >::type
 | comparable_distance (Geometry1 const &geometry1, Geometry2 const &geometry2, Strategy const &strategy) | 
|  | Calculate the comparable distance measurement of two geometries using the specified strategy.  More... 
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|  | 
| template<typename Geometry1 , typename Geometry2 > | 
| default_comparable_distance_result < Geometry1, Geometry2 >::type
 | comparable_distance (Geometry1 const &geometry1, Geometry2 const &geometry2) | 
|  | Calculate the comparable distance measurement of two geometries.  More... 
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|  | 
| template<typename Geometry1 , typename Geometry2 > | 
| void | convert (Geometry1 const &geometry1, Geometry2 &geometry2) | 
|  | Converts one geometry to another geometry.  More... 
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|  | 
| template<typename Geometry , typename OutputGeometry , typename Strategy > | 
| void | convex_hull (Geometry const &geometry, OutputGeometry &out, Strategy const &strategy) | 
|  | 
| template<typename Geometry , typename OutputGeometry > | 
| void | convex_hull (Geometry const &geometry, OutputGeometry &hull) | 
|  | Calculates the convex hull of a geometry.  More... 
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|  | 
| template<bool Reverse, typename Geometry , typename SegmentIdentifier , typename PointOut > | 
| bool | copy_segment_point (Geometry const &geometry, SegmentIdentifier const &seg_id, int offset, PointOut &point_out) | 
|  | Helper function, copies a point from a segment.  More... 
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|  | 
| template<bool Reverse1, bool Reverse2, typename Geometry1 , typename Geometry2 , typename SegmentIdentifier , typename PointOut > | 
| bool | copy_segment_point (Geometry1 const &geometry1, Geometry2 const &geometry2, SegmentIdentifier const &seg_id, int offset, PointOut &point_out) | 
|  | Helper function, to avoid the same construct several times, copies a point, based on a source-index and two geometries.  More... 
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|  | 
| template<bool Reverse1, bool Reverse2, typename Geometry1 , typename Geometry2 , typename SegmentIdentifier , typename PointOut > | 
| bool | copy_segment_points (Geometry1 const &geometry1, Geometry2 const &geometry2, SegmentIdentifier const &seg_id, PointOut &point1, PointOut &point2) | 
|  | Helper function, to avoid the same construct several times, copies a point, based on a source-index and two geometries.  More... 
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|  | 
| template<bool Reverse1, bool Reverse2, typename Geometry1 , typename Geometry2 , typename SegmentIdentifier , typename PointOut > | 
| bool | copy_segment_points (Geometry1 const &geometry1, Geometry2 const &geometry2, SegmentIdentifier const &seg_id, PointOut &point1, PointOut &point2, PointOut &point3) | 
|  | Helper function, copies three points: two from the specified segment (from, to) and the next one.  More... 
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|  | 
| template<bool Reverse, typename Geometry , typename SegmentIdentifier , typename RobustPolicy , typename RangeOut > | 
| void | copy_segments (Geometry const &geometry, SegmentIdentifier const &seg_id, signed_size_type to_index, RobustPolicy const &robust_policy, RangeOut &range_out) | 
|  | Copy segments from a geometry, starting with the specified segment (seg_id) until the specified index (to_index)  More... 
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|  | 
| template<typename Geometry > | 
| void | correct (Geometry &geometry) | 
|  | Corrects a geometry.  More... 
 | 
|  | 
| template<typename Geometry1 , typename Geometry2 > | 
| bool | covered_by (Geometry1 const &geometry1, Geometry2 const &geometry2) | 
|  | Checks if the first geometry is inside or on border the second geometry.  More... 
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|  | 
| template<typename Geometry1 , typename Geometry2 , typename Strategy > | 
| bool | covered_by (Geometry1 const &geometry1, Geometry2 const &geometry2, Strategy const &strategy) | 
|  | Checks if the first geometry is inside or on border the second geometry using the specified strategy.  More... 
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|  | 
| template<typename ResultP , typename P1 , typename P2 > | 
| ResultP | cross_product (P1 const &p1, P2 const &p2) | 
|  | Computes the cross product of two vectors.  More... 
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|  | 
| template<typename P > | 
| P | cross_product (P const &p1, P const &p2) | 
|  | Computes the cross product of two vectors.  More... 
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|  | 
| template<typename Geometry1 , typename Geometry2 > | 
| bool | crosses (Geometry1 const &geometry1, Geometry2 const &geometry2) | 
|  | Checks if two geometries crosses.  More... 
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|  | 
| template<typename Geometry1 , typename Geometry2 , typename Collection > | 
| void | difference (Geometry1 const &geometry1, Geometry2 const &geometry2, Collection &output_collection) | 
|  | 
| template<typename Geometry1 , typename Geometry2 > | 
| bool | disjoint (Geometry1 const &geometry1, Geometry2 const &geometry2) | 
|  | Checks if two geometries are disjoint.  More... 
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|  | 
| template<typename Geometry1 , typename Geometry2 , typename Strategy > | 
| distance_result< Geometry1, Geometry2, Strategy >::type
 | distance (Geometry1 const &geometry1, Geometry2 const &geometry2, Strategy const &strategy) | 
|  | Calculate the distance of two geometries using the specified strategy.  More... 
 | 
|  | 
| template<typename Geometry1 , typename Geometry2 > | 
| default_distance_result < Geometry1, Geometry2 >::type
 | distance (Geometry1 const &geometry1, Geometry2 const &geometry2) | 
|  | Calculate the distance of two geometries.  More... 
 | 
|  | 
| template<typename Point1 , typename Point2 > | 
| void | divide_point (Point1 &p1, Point2 const &p2) | 
|  | Divides a point by another.  More... 
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|  | 
| template<typename Point > | 
| void | divide_value (Point &p, typename detail::param< Point >::type value) | 
|  | Divides each coordinate of the same point by a value.  More... 
 | 
|  | 
| template<typename Point1 , typename Point2 > | 
| select_coordinate_type< Point1, Point2 >::type
 | dot_product (Point1 const &p1, Point2 const &p2) | 
|  | Computes the dot product (or scalar product) of 2 vectors (points).  More... 
 | 
|  | 
| template<bool Reverse1, bool Reverse2, overlay_type OverlayType, typename Turns , typename Clusters , typename Geometry1 , typename Geometry2 , typename RobustPolicy , typename Strategy > | 
| void | enrich_intersection_points (Turns &turns, Clusters &clusters, Geometry1 const &geometry1, Geometry2 const &geometry2, RobustPolicy const &robust_policy, Strategy const &strategy) | 
|  | All intersection points are enriched with successor information.  More... 
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|  | 
| template<typename Geometry , typename Box > | 
| void | envelope (Geometry const &geometry, Box &mbr) | 
|  | Calculates the envelope of a geometry.  More... 
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|  | 
| template<typename Geometry1 , typename Geometry2 > | 
| bool | equals (Geometry1 const &geometry1, Geometry2 const &geometry2) | 
|  | Checks if a geometry are spatially equal.  More... 
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|  | 
| template<typename Box , typename Geometry > | 
| void | expand (Box &box, Geometry const &geometry) | 
|  | Expands a box using the bounding box (envelope) of another geometry (box, point)  More... 
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|  | 
| template<typename Polygon > | 
| ring_return_type< Polygon >::type | exterior_ring (Polygon &polygon) | 
|  | Function to get the exterior_ring ring of a polygon.  More... 
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|  | 
| template<typename Polygon > | 
| ring_return_type< Polygon const  >::type
 | exterior_ring (Polygon const &polygon) | 
|  | Function to get the exterior ring of a polygon (const version)  More... 
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|  | 
| template<std::size_t Edge, typename Geometry , typename Extremes , typename Intruders > | 
| bool | extreme_points (Geometry const &geometry, Extremes &extremes, Intruders &intruders) | 
|  | Returns extreme points (for Edge=1 in dimension 1, so the top, for Edge=0 in dimension 0, the right side)  More... 
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|  | 
| template<typename Point , typename Op > | 
| void | for_each_coordinate (Point &point, Op operation) | 
|  | 
| template<typename Point , typename Op > | 
| Op | for_each_coordinate (Point const &point, Op operation) | 
|  | 
| template<typename Geometry , typename Functor > | 
| Functor | for_each_point (Geometry &geometry, Functor f) | 
|  | Applies function [*f] to each point.  More... 
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|  | 
| template<typename Geometry , typename Functor > | 
| Functor | for_each_segment (Geometry &geometry, Functor f) | 
|  | Applies function [*f] to each segment.  More... 
 | 
|  | 
| template<std::size_t Dimension, typename Geometry > | 
| coordinate_type< Geometry >::type | get (Geometry const &geometry) | 
|  | Get coordinate value of a geometry (usually a point)  More... 
 | 
|  | 
| template<std::size_t Index, std::size_t Dimension, typename Geometry > | 
| coordinate_type< Geometry >::type | get (Geometry const &geometry) | 
|  | get coordinate value of a Box or Segment  More... 
 | 
|  | 
| template<std::size_t Dimension, typename Geometry > | 
| fp_coordinate_type< Geometry > ::type
 | get_as_radian (Geometry const &geometry) | 
|  | get coordinate value of a point, result is in Radian  More... 
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|  | 
| template<typename Geometry1 , typename Geometry2 , typename RobustPolicy , typename Turns > | 
| void | get_intersection_points (Geometry1 const &geometry1, Geometry2 const &geometry2, RobustPolicy const &robust_policy, Turns &turns) | 
|  | 
| template<std::size_t I, typename Geometry > | 
| radius_type< Geometry >::type | get_radius (Geometry const &geometry) | 
|  | Function to get radius of a circle / sphere / ellipse / etc.  More... 
 | 
|  | 
| template<bool Reverse1, bool Reverse2, typename AssignPolicy , typename Geometry1 , typename Geometry2 , typename RobustPolicy , typename Turns , typename InterruptPolicy > | 
| void | get_turns (Geometry1 const &geometry1, Geometry2 const &geometry2, RobustPolicy const &robust_policy, Turns &turns, InterruptPolicy &interrupt_policy) | 
|  | Calculate the turn points of two geometries.  More... 
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|  | 
| template<typename Point > | 
| bool | has_infinite_coordinate (Point const &point) | 
|  | 
| template<typename Point > | 
| bool | has_nan_coordinate (Point const &point) | 
|  | 
| template<typename Point > | 
| bool | has_non_finite_coordinate (Point const &point) | 
|  | 
| template<typename Iterator > | 
| bool | has_one_element (Iterator first, Iterator beyond) | 
|  | 
| template<typename Polygon > | 
| interior_return_type< Polygon > ::type
 | interior_rings (Polygon &polygon) | 
|  | Function to get the interior rings of a polygon (non const version)  More... 
 | 
|  | 
| template<typename Polygon > | 
| interior_return_type< Polygon const  >::type
 | interior_rings (Polygon const &polygon) | 
|  | Function to get the interior rings of a polygon (const version)  More... 
 | 
|  | 
| template<typename Geometry1 , typename Geometry2 , typename GeometryOut > | 
| bool | intersection (Geometry1 const &geometry1, Geometry2 const &geometry2, GeometryOut &geometry_out) | 
|  | Calculate the intersection of two geometries.  More... 
 | 
|  | 
| template<typename Geometry > | 
| bool | intersects (Geometry const &geometry) | 
|  | Checks if a geometry has at least one intersection (crossing or self-tangency)  More... 
 | 
|  | 
| template<typename Geometry1 , typename Geometry2 > | 
| bool | intersects (Geometry1 const &geometry1, Geometry2 const &geometry2) | 
|  | Checks if two geometries have at least one intersection.  More... 
 | 
|  | 
| template<typename Geometry > | 
| bool | is_convex (Geometry const &geometry) | 
|  | 
| template<typename Geometry > | 
| bool | is_empty (Geometry const &geometry) | 
|  | Checks if a geometry is the empty set.  More... 
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|  | 
| template<typename Geometry > | 
| bool | is_simple (Geometry const &geometry) | 
|  | Checks if a geometry is simple.  More... 
 | 
|  | 
| template<typename Geometry , typename VisitPolicy > | 
| bool | is_valid (Geometry const &geometry, VisitPolicy &visitor) | 
|  | 
| template<typename Geometry > | 
| bool | is_valid (Geometry const &geometry) | 
|  | Checks if a geometry is valid (in the OGC sense)  More... 
 | 
|  | 
| template<typename Geometry > | 
| bool | is_valid (Geometry const &geometry, validity_failure_type &failure) | 
|  | Checks if a geometry is valid (in the OGC sense)  More... 
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|  | 
| template<typename Geometry > | 
| bool | is_valid (Geometry const &geometry, std::string &message) | 
|  | Checks if a geometry is valid (in the OGC sense)  More... 
 | 
|  | 
| template<typename Geometry > | 
| default_length_result < Geometry >::type
 | length (Geometry const &geometry) | 
|  | Calculates the length of a geometry.  More... 
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|  | 
| template<typename Geometry , typename Strategy > | 
| default_length_result < Geometry >::type
 | length (Geometry const &geometry, Strategy const &strategy) | 
|  | Calculates the length of a geometry using the specified strategy.  More... 
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|  | 
| template<typename Geometry , typename Type > | 
| Geometry | make (Type const &c1, Type const &c2) | 
|  | Construct a geometry.  More... 
 | 
|  | 
| template<typename Geometry , typename Type > | 
| Geometry | make (Type const &c1, Type const &c2, Type const &c3) | 
|  | Construct a geometry.  More... 
 | 
|  | 
| template<typename Geometry , typename Type > | 
| Geometry | make (Type const &c1, Type const &c2, Type const &c3, Type const &c4) | 
|  | 
| template<typename Geometry > | 
| Geometry | make_inverse () | 
|  | Construct a box with inverse infinite coordinates.  More... 
 | 
|  | 
| template<typename Geometry > | 
| Geometry | make_zero () | 
|  | Construct a geometry with its coordinates initialized to zero.  More... 
 | 
|  | 
| template<typename RangeOfIntervals , typename T > | 
| boost::range_value < RangeOfIntervals >
 ::type::difference_type
 | maximum_gap (RangeOfIntervals const &range_of_intervals, T &max_gap_left, T &max_gap_right) | 
|  | 
| template<typename RangeOfIntervals > | 
| boost::range_value < RangeOfIntervals >
 ::type::difference_type
 | maximum_gap (RangeOfIntervals const &range_of_intervals) | 
|  | 
| char | method_char (detail::overlay::method_type const &method) | 
|  | 
| template<typename Point1 , typename Point2 > | 
| void | multiply_point (Point1 &p1, Point2 const &p2) | 
|  | Multiplies a point by another.  More... 
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|  | 
| template<typename Point > | 
| void | multiply_value (Point &p, typename detail::param< Point >::type value) | 
|  | Multiplies each coordinate of a point by the same value.  More... 
 | 
|  | 
| template<typename Geometry > | 
| std::size_t | num_geometries (Geometry const &geometry) | 
|  | Calculates the number of geometries of a geometry.  More... 
 | 
|  | 
| template<typename Geometry > | 
| std::size_t | num_interior_rings (Geometry const &geometry) | 
|  | Calculates the number of interior rings of a geometry.  More... 
 | 
|  | 
| template<typename Geometry > | 
| std::size_t | num_points (Geometry const &geometry, bool add_for_open=false) | 
|  | Calculates the number of points of a geometry.  More... 
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|  | 
| template<typename Geometry > | 
| std::size_t | num_segments (Geometry const &geometry) | 
|  | Calculates the number of segments of a geometry.  More... 
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|  | 
| char | operation_char (detail::overlay::operation_type const &operation) | 
|  | 
| template<typename Geometry1 , typename Geometry2 > | 
| bool | overlaps (Geometry1 const &geometry1, Geometry2 const &geometry2) | 
|  | Checks if two geometries overlap.  More... 
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|  | 
| template<typename Geometry > | 
| default_length_result < Geometry >::type
 | perimeter (Geometry const &geometry) | 
|  | Calculates the perimeter of a geometry.  More... 
 | 
|  | 
| template<typename Geometry , typename Strategy > | 
| default_length_result < Geometry >::type
 | perimeter (Geometry const &geometry, Strategy const &strategy) | 
|  | Calculates the perimeter of a geometry using the specified strategy.  More... 
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|  | 
| template<typename Point , typename Geometry > | 
| bool | point_on_border (Point &point, Geometry const &geometry, bool midpoint=false) | 
|  | Take point on a border.  More... 
 | 
|  | 
| template<typename Geometry , typename Point > | 
| void | point_on_surface (Geometry const &geometry, Point &point) | 
|  | Assigns a Point guaranteed to lie on the surface of the Geometry.  More... 
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|  | 
| template<typename Geometry > | 
| point_iterator< Geometry > | points_begin (Geometry &geometry) | 
|  | 
| template<typename Geometry > | 
| point_iterator< Geometry > | points_end (Geometry &geometry) | 
|  | 
| template<typename Geometry > | 
| point_reverse_iterator< Geometry > | points_rbegin (Geometry &geometry) | 
|  | 
| template<typename Geometry > | 
| point_reverse_iterator< Geometry > | points_rend (Geometry &geometry) | 
|  | 
| template<typename Geometry , typename Section > | 
| ring_return_type< Geometry const  >::type
 | range_by_section (Geometry const &geometry, Section const §ion) | 
|  | Get full ring (exterior, one of interiors, one from multi) indicated by the specified section.  More... 
 | 
|  | 
| template<typename Geometry > | 
| void | read_wkt (std::string const &wkt, Geometry &geometry) | 
|  | Parses OGC Well-Known Text (WKT (Well-Known Text)) into a geometry (any geometry)  More... 
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|  | 
| template<typename Geometry1 , typename Geometry2 , typename Strategy > | 
| void | recalculate (Geometry1 &geometry1, Geometry2 const &geometry2, Strategy const &strategy) | 
|  | 
| template<typename Geometry1 , typename Geometry2 , typename Mask > | 
| bool | relate (Geometry1 const &geometry1, Geometry2 const &geometry2, Mask const &mask) | 
|  | Checks relation between a pair of geometries defined by a mask.  More... 
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|  | 
| template<typename Geometry1 , typename Geometry2 > | 
| de9im::matrix | relation (Geometry1 const &geometry1, Geometry2 const &geometry2) | 
|  | Calculates the relation between a pair of geometries as defined in DE-9IM.  More... 
 | 
|  | 
| template<typename Geometry > | 
| void | remove_spikes (Geometry &geometry) | 
|  | 
| template<typename Output , typename Input , typename Distance > | 
| Output | return_buffer (Input const &geometry, Distance const &distance, Distance const &chord_length=-1) | 
|  | Calculates the buffer of a geometry.  More... 
 | 
|  | 
| template<typename Point , typename Geometry > | 
| Point | return_centroid (Geometry const &geometry) | 
|  | Calculates the centroid of a geometry.  More... 
 | 
|  | 
| template<typename Point , typename Geometry , typename Strategy > | 
| Point | return_centroid (Geometry const &geometry, Strategy const &strategy) | 
|  | Calculates the centroid of a geometry using the specified strategy.  More... 
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|  | 
| template<typename Box , typename Geometry > | 
| Box | return_envelope (Geometry const &geometry) | 
|  | Calculates the envelope of a geometry.  More... 
 | 
|  | 
| template<typename Geometry > | 
| geometry::point_type< Geometry > ::type
 | return_point_on_surface (Geometry const &geometry) | 
|  | Returns point guaranteed to lie on the surface of the Geometry.  More... 
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|  | 
| template<typename Geometry > | 
| void | reverse (Geometry &geometry) | 
|  | Reverses the points within a geometry.  More... 
 | 
|  | 
| template<bool Reverse, typename DimensionVector , typename Geometry , typename Sections , typename RobustPolicy > | 
| void | sectionalize (Geometry const &geometry, RobustPolicy const &robust_policy, Sections §ions, int source_index=0, std::size_t max_count=10) | 
|  | Split a geometry into monotonic sections.  More... 
 | 
|  | 
| template<typename Geometry > | 
| segment_iterator< Geometry const  > | segments_begin (Geometry const &geometry) | 
|  | 
| template<typename Geometry > | 
| segment_iterator< Geometry const  > | segments_end (Geometry const &geometry) | 
|  | 
| template<typename AssignPolicy , typename Geometry , typename RobustPolicy , typename Turns , typename InterruptPolicy > | 
| void | self_turns (Geometry const &geometry, RobustPolicy const &robust_policy, Turns &turns, InterruptPolicy &interrupt_policy) | 
|  | Calculate self intersections of a geometry.  More... 
 | 
|  | 
| template<std::size_t Dimension, typename Geometry > | 
| void | set (Geometry &geometry, typename coordinate_type< Geometry >::type const &value) | 
|  | Set coordinate value of a geometry (usually a point)  More... 
 | 
|  | 
| template<std::size_t Index, std::size_t Dimension, typename Geometry > | 
| void | set (Geometry &geometry, typename coordinate_type< Geometry >::type const &value) | 
|  | set coordinate value of a Box / Segment  More... 
 | 
|  | 
| template<std::size_t Dimension, typename Geometry > | 
| void | set_from_radian (Geometry &geometry, typename fp_coordinate_type< Geometry >::type const &radians) | 
|  | set coordinate value (in radian) to a point  More... 
 | 
|  | 
| template<std::size_t I, typename Geometry > | 
| void | set_radius (Geometry &geometry, typename radius_type< Geometry >::type const &radius) | 
|  | Function to set the radius of a circle / sphere / ellipse / etc.  More... 
 | 
|  | 
| template<typename Geometry , typename Distance , typename Strategy > | 
| void | simplify (Geometry const &geometry, Geometry &out, Distance const &max_distance, Strategy const &strategy) | 
|  | Simplify a geometry using a specified strategy.  More... 
 | 
|  | 
| template<typename Geometry , typename Distance > | 
| void | simplify (Geometry const &geometry, Geometry &out, Distance const &max_distance) | 
|  | Simplify a geometry.  More... 
 | 
|  | 
| template<typename Point1 , typename Point2 > | 
| void | subtract_point (Point1 &p1, Point2 const &p2) | 
|  | Subtracts a point to another.  More... 
 | 
|  | 
| template<typename Point > | 
| void | subtract_value (Point &p, typename detail::param< Point >::type value) | 
|  | Subtracts the same value to each coordinate of a point.  More... 
 | 
|  | 
| template<typename Geometry > | 
| svg_manipulator< Geometry > | svg (Geometry const &geometry, std::string const &style, double size=-1.0) | 
|  | Manipulator to stream geometries as SVG.  More... 
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| template<typename SvgPoint , typename Geometry , typename TransformStrategy > | 
| void | svg_map (std::ostream &stream, std::string const &style, double size, Geometry const &geometry, TransformStrategy const &strategy) | 
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| template<typename Range , typename PriorityQueue , typename InitializationVisitor , typename EventVisitor , typename InterruptPolicy > | 
| void | sweep (Range const &range, PriorityQueue &queue, InitializationVisitor &initialization_visitor, EventVisitor &event_visitor, InterruptPolicy const &interrupt_policy) | 
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| template<typename Range , typename PriorityQueue , typename InitializationVisitor , typename EventVisitor > | 
| void | sweep (Range const &range, PriorityQueue &queue, InitializationVisitor &initialization_visitor, EventVisitor &event_visitor) | 
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| template<typename Geometry1 , typename Geometry2 , typename Collection > | 
| void | sym_difference (Geometry1 const &geometry1, Geometry2 const &geometry2, Collection &output_collection) | 
|  | Calculate the symmetric difference of two geometries.  More... 
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| template<typename Geometry > | 
| bool | touches (Geometry const &geometry) | 
|  | Checks if a geometry has at least one touching point (self-tangency)  More... 
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| template<typename Geometry1 , typename Geometry2 > | 
| bool | touches (Geometry1 const &geometry1, Geometry2 const &geometry2) | 
|  | Checks if two geometries have at least one touching point (tangent - non overlapping)  More... 
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| template<typename Geometry1 , typename Geometry2 , typename Strategy > | 
| bool | transform (Geometry1 const &geometry1, Geometry2 &geometry2, Strategy const &strategy) | 
|  | Transforms from one geometry to another geometry using the specified strategy.  More... 
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| template<typename Geometry1 , typename Geometry2 > | 
| bool | transform (Geometry1 const &geometry1, Geometry2 &geometry2) | 
|  | Transforms from one geometry to another geometry using a strategy.  More... 
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| template<typename Geometry1 , typename Geometry2 , typename Collection > | 
| void | union_ (Geometry1 const &geometry1, Geometry2 const &geometry2, Collection &output_collection) | 
|  | Combines two geometries which each other.  More... 
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| template<typename Geometry > | 
| void | unique (Geometry &geometry) | 
|  | Calculates the minimal set of a geometry.  More... 
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| char | visited_char (detail::overlay::visit_info const &v) | 
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| template<typename Geometry1 , typename Geometry2 > | 
| bool | within (Geometry1 const &geometry1, Geometry2 const &geometry2) | 
|  | Checks if the first geometry is completely inside the second geometry.  More... 
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| template<typename Geometry1 , typename Geometry2 , typename Strategy > | 
| bool | within (Geometry1 const &geometry1, Geometry2 const &geometry2, Strategy const &strategy) | 
|  | Checks if the first geometry is completely inside the second geometry using the specified strategy.  More... 
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| template<typename Geometry > | 
| wkt_manipulator< Geometry > | wkt (Geometry const &geometry) | 
|  | Main WKT-streaming function.  More... 
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