Improved tests of Fuzzy sphere and iso box

This commit is contained in:
Mael Rouxel-Labbé 2018-03-23 17:07:54 +01:00
parent 65be29442b
commit eb32927352
2 changed files with 216 additions and 122 deletions

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@ -1,95 +1,123 @@
// file : test/Spatial_searching/Circular_query.C
// test whether circular queries are computed correctly for random data
//
// 1) generate list of query points using report_all
// 2) remove and check reported points from these list
// 3) check if no remaining points should have been reported
#include "Point_with_info.h"
#include <CGAL/Cartesian.h>
#include <cassert>
#include <CGAL/Kd_tree.h>
#include <CGAL/Search_traits_2.h>
#include <CGAL/Search_traits_adapter.h>
#include <CGAL/point_generators_2.h>
#include <CGAL/algorithm.h>
#include <CGAL/Fuzzy_sphere.h>
#include <CGAL/algorithm.h>
#include <CGAL/iterator.h>
#include "Point_with_info.h"
#include <CGAL/point_generators_2.h>
#include <CGAL/boost/iterator/transform_iterator.hpp>
#include <cassert>
#include <iostream>
#include <list>
#include <vector>
typedef CGAL::Cartesian<double> K;
typedef K::FT FT;
typedef K::Point_2 Point;
typedef CGAL::Random_points_in_square_2<Point> Random_points_iterator;
typedef CGAL::Counting_iterator<Random_points_iterator> N_Random_points_iterator;
typedef CGAL::Search_traits_2<K> Traits;
typedef CGAL::Cartesian<double> K;
typedef K::Point_2 Point;
typedef CGAL::Random_points_in_square_2<Point> Random_points_iterator;
typedef CGAL::Counting_iterator<Random_points_iterator> N_Random_points_iterator;
typedef CGAL::Search_traits_2<K> Traits;
//for Point_with_info
typedef Point_with_info_helper<Point>::type Point_with_info;
typedef Point_property_map<Point> Ppmap;
typedef CGAL::Search_traits_adapter<Point_with_info,Ppmap,Traits> Traits_with_info;
typedef Point_with_info_helper<Point>::type Point_with_info;
typedef Point_property_map<Point> Ppmap;
typedef CGAL::Search_traits_adapter<Point_with_info,Ppmap,Traits> Traits_with_info;
template <class Traits>
void run(std::list<Point> all_points){
typedef CGAL::Fuzzy_sphere<Traits> Fuzzy_circle;
typedef CGAL::Kd_tree<Traits> Tree;
template <class SearchTraits, class Tree>
void run_with_fuzziness(std::list<Point> all_points, // intentional copy
const Tree& tree,
const Point& center,
const FT radius,
const FT fuzziness)
{
typedef CGAL::Fuzzy_sphere<SearchTraits> Fuzzy_circle;
// Insert also the N points in the tree
Tree tree(
boost::make_transform_iterator(all_points.begin(),Create_point_with_info<typename Traits::Point_d>()),
boost::make_transform_iterator(all_points.end(),Create_point_with_info<typename Traits::Point_d>())
);
Fuzzy_circle default_range(typename SearchTraits::Point_d(center), radius);
std::list<typename SearchTraits::Point_d> result;
tree.search(std::back_inserter(result), default_range);
// define exact circular range query (fuzziness=0)
Point center(0.25, 0.25);
Fuzzy_circle exact_range(typename Traits::Point_d(center), 0.25);
std::list<typename Traits::Point_d> result;
tree.search(std::back_inserter( result ), exact_range);
typedef std::vector<typename Traits::Point_d> V;
typedef std::vector<typename SearchTraits::Point_d> V;
V vec;
vec.resize(result.size());
typename V::iterator it = tree.search(vec.begin(), exact_range);
typename V::iterator it = tree.search(vec.begin(), default_range);
assert(it == vec.end());
tree.search(CGAL::Emptyset_iterator(), Fuzzy_circle(center, 0.25) ); //test compilation when Point != Traits::Point_d
// test the results of the exact query
std::list<Point> copy_all_points(all_points);
for (typename std::list<typename Traits::Point_d>::iterator pt=result.begin(); (pt != result.end()); ++pt) {
// a point with distance d to the center may be reported if d <= r
assert(CGAL::squared_distance(center, get_point(*pt)) <= 0.0625);
copy_all_points.remove(get_point(*pt));
}
for (std::list<Point>::iterator pt=copy_all_points.begin(); (pt != copy_all_points.end()); ++pt) {
if(CGAL::squared_distance(center, *pt) < 0.0625){
// all points with a distance d < r must be reported
std::cout << "we missed " << *pt << " with distance = " << CGAL::squared_distance(center,*pt) << std::endl;
}
assert(CGAL::squared_distance(center, *pt) >= 0.0625);
}
result.clear();
// approximate range searching using value 0.125 for fuzziness parameter
Fuzzy_circle approximate_range(typename Traits::Point_d(center), 0.25, 0.125);
tree.search(std::back_inserter( result ), approximate_range);
// test the results of the approximate query
for (typename std::list<typename Traits::Point_d>::iterator pt=result.begin(); (pt != result.end()); ++pt) {
// a point with distance d to the center may be reported if d <= r + eps
assert(CGAL::squared_distance(center,get_point(*pt))<=0.140625); // (0.25 + 0.125)²
std::cout << "test with center: " << center << " radius: " << radius << " eps: " << fuzziness << "... ";
tree.search(CGAL::Emptyset_iterator(), Fuzzy_circle(center, radius) ); //test compilation when Point != Traits::Point_d
// range searching
Fuzzy_circle approximate_range(typename SearchTraits::Point_d(center), radius, fuzziness);
tree.search(std::back_inserter(result), approximate_range);
std::cout << result.size() << " hits... Verifying correctness...";
// test the results
const FT sq_inner_radius = (fuzziness > radius) ? 0 : (radius - fuzziness) * (radius - fuzziness);
const FT sq_outer_radius = (radius + fuzziness) * (radius + fuzziness);
for(typename std::list<typename SearchTraits::Point_d>::iterator pt=result.begin(); (pt != result.end()); ++pt)
{
// a point with distance d to the center can only be reported if d <= r + eps
bool is_correct = (CGAL::squared_distance(center, get_point(*pt)) <= sq_outer_radius);
if(!is_correct)
std::cout << get_point(*pt) << " at distance = " << CGAL::squared_distance(center, get_point(*pt))
<< " should not have been reported (max is: " << sq_outer_radius << ")" << std::endl;
assert(is_correct);
all_points.remove(get_point(*pt));
}
for (std::list<Point>::iterator pt=all_points.begin(); (pt != all_points.end()); ++pt) {
// all points with a distance d < r - eps must be reported
if(CGAL::squared_distance(center, *pt) < 0.015625){ // (0.25 - 0.125)²
std::cout << "we missed " << *pt << " with distance = " << CGAL::squared_distance(center,*pt) << std::endl;
}
assert(CGAL::squared_distance(center,*pt) >= 0.015625);
for(std::list<Point>::const_iterator pt=all_points.begin(); (pt != all_points.end()); ++pt)
{
// all points with a distance d <= r - eps must have been reported
bool is_correct = (CGAL::squared_distance(center,*pt) > sq_inner_radius);
if(!is_correct)
std::cout << "missed " << *pt << " with distance = " << CGAL::squared_distance(center,*pt) << std::endl;
assert(is_correct);
}
std::cout << "done" << std::endl;
}
template <class SearchTraits>
void run(std::list<Point> all_points) // intentional copy
{
typedef CGAL::Kd_tree<SearchTraits> Tree;
// Insert also the N points in the tree
Tree tree(
boost::make_transform_iterator(all_points.begin(), Create_point_with_info<typename SearchTraits::Point_d>()),
boost::make_transform_iterator(all_points.end(), Create_point_with_info<typename SearchTraits::Point_d>())
);
Point center(0.25, 0.25);
run_with_fuzziness<SearchTraits>(all_points, tree, center, 0. /*radius*/, 0. /*fuzziness*/);
run_with_fuzziness<SearchTraits>(all_points, tree, center, 0.25 /*radius*/, 0. /*fuzziness*/);
run_with_fuzziness<SearchTraits>(all_points, tree, center, 0.25 /*radius*/, 0.125 /*fuzziness*/);
run_with_fuzziness<SearchTraits>(all_points, tree, center, 0.25 /*radius*/, 0.25 /*fuzziness*/);
run_with_fuzziness<SearchTraits>(all_points, tree, center, 0.25 /*radius*/, 1. /*fuzziness*/);
run_with_fuzziness<SearchTraits>(all_points, tree, center, 1. /*radius*/, 0. /*fuzziness*/);
run_with_fuzziness<SearchTraits>(all_points, tree, center, 1. /*radius*/, 0.25 /*fuzziness*/);
run_with_fuzziness<SearchTraits>(all_points, tree, center, 10. /*radius*/, 0. /*fuzziness*/);
run_with_fuzziness<SearchTraits>(all_points, tree, center, 10. /*radius*/, 10. /*fuzziness*/);
run_with_fuzziness<SearchTraits>(all_points, tree, center, 10. /*radius*/, 100. /*fuzziness*/);
}
int main() {
const int N=1000;
@ -101,6 +129,12 @@ int main() {
std::list<Point> all_points(N_Random_points_iterator(rpit,0),
N_Random_points_iterator(N));
// add some interesting points
all_points.push_back(Point(0.25, 0.25));
all_points.push_back(Point(0.375, 0.25));
all_points.push_back(Point(0.5, 0.25));
all_points.push_back(Point(1.25, 0.25));
run<Traits>(all_points);
run<Traits_with_info>(all_points);

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@ -1,98 +1,158 @@
// file: Iso_rectangle_2_query.C
// test whether box queries are computed correctly for random data
//
// 1) generate list of query points using report_all
// 2) remove and check reported points from these list
// 3) check if no remaining points should have been reported
#include <CGAL/Simple_cartesian.h>
#include <cassert>
#include "Point_with_info.h"
#include <CGAL/Kd_tree.h>
#include <CGAL/Search_traits_2.h>
#include <CGAL/Search_traits_adapter.h>
#include <CGAL/point_generators_2.h>
#include <CGAL/Fuzzy_iso_box.h>
#include <CGAL/iterator.h>
#include "Point_with_info.h"
#include <CGAL/iterator.h>
#include <CGAL/point_generators_2.h>
#include <cassert>
#include <vector>
#include <iostream>
typedef CGAL::Simple_cartesian<double> K;
typedef K::Point_2 Point;
typedef K::Vector_2 Vector;
typedef K::Iso_rectangle_2 Iso_rectangle;
typedef CGAL::Random_points_in_square_2<Point> Random_points_iterator;
typedef CGAL::Counting_iterator<Random_points_iterator> N_Random_points_iterator;
typedef CGAL::Search_traits_2<K> Traits;
typedef Point_with_info_helper<Point>::type Point_with_info;
typedef Point_property_map<Point> Ppmap;
typedef CGAL::Search_traits_adapter<Point_with_info,Ppmap,Traits> Traits_with_info;
typedef CGAL::Simple_cartesian<double> K;
typedef K::FT FT;
typedef K::Point_2 Point;
typedef K::Vector_2 Vector;
typedef K::Iso_rectangle_2 Iso_rectangle;
template <class SearchTraits>
void run(std::list<Point> all_points)
typedef CGAL::Random_points_in_square_2<Point> Random_points_iterator;
typedef CGAL::Counting_iterator<Random_points_iterator> N_Random_points_iterator;
typedef CGAL::Search_traits_2<K> Traits;
typedef Point_with_info_helper<Point>::type Point_with_info;
typedef Point_property_map<Point> Ppmap;
typedef CGAL::Search_traits_adapter<Point_with_info,Ppmap,Traits> Traits_with_info;
template <class SearchTraits, class Tree>
void run_with_fuzziness(std::list<Point> all_points, const Tree& tree,
const Point& p, const Point& q, const FT fuzziness)
{
typedef CGAL::Fuzzy_iso_box<SearchTraits> Fuzzy_box;
// Insert also the N points in the tree
CGAL::Kd_tree<SearchTraits> tree(
boost::make_transform_iterator(all_points.begin(),Create_point_with_info<typename SearchTraits::Point_d>()),
boost::make_transform_iterator(all_points.end(),Create_point_with_info<typename SearchTraits::Point_d>())
);
tree.search(CGAL::Emptyset_iterator(), Fuzzy_box(p,q)); //test compilation when Point != Traits::Point_d
Point p(0.1, 0.2);
Point q(0.3, 0.5);
typename SearchTraits::Point_d pp(p);
typename SearchTraits::Point_d qq(q);
std::cout << "test with box: [" << p << " || " << q << "] and eps: " << fuzziness << "... ";
Iso_rectangle ic(p,q);
Fuzzy_box default_range(pp,qq);
// approximate range searching
std::list<typename SearchTraits::Point_d> result;
// Searching the box ic
tree.search( std::back_inserter( result ), default_range);
Fuzzy_box approximate_range(pp, qq, fuzziness);
tree.search(std::back_inserter(result), approximate_range);
std::cout << result.size() << " hits... Verifying correctness...";
tree.search(CGAL::Emptyset_iterator(), Fuzzy_box(p,q) ); //test compilation when Point != Traits::Point_d
// test the results of the default query
std::list<Point> copy_all_points(all_points);
for (typename std::list<typename SearchTraits::Point_d>::iterator pt=result.begin(); (pt != result.end()); ++pt) {
assert(! ic.has_on_unbounded_side(get_point(*pt)) || ic.has_on_boundary(get_point(*pt)));
copy_all_points.remove(get_point(*pt));
}
for (std::list<Point>::iterator pt=copy_all_points.begin(); (pt != copy_all_points.end()); ++pt) {
assert(ic.has_on_unbounded_side(*pt) || ic.has_on_boundary(*pt));
}
result.clear();
// approximate range searching using value 0.1 for fuzziness parameter
Fuzzy_box approximate_range(pp,qq,0.05);
Iso_rectangle inner_ic(p+ 0.05*Vector(1,1),q-0.05*Vector(1,1));
Iso_rectangle outer_ic(p- 0.05*Vector(1,1),q+0.05*Vector(1,1));
tree.search(std::back_inserter( result ), approximate_range);
// test the results of the approximate query
for (typename std::list<typename SearchTraits::Point_d>::iterator pt=result.begin(); (pt != result.end()); ++pt) {
// a point we found may be slighlty outside the isorectangle
assert(! outer_ic.has_on_unbounded_side(get_point(*pt)) || outer_ic.has_on_boundary(get_point(*pt)));
Iso_rectangle inner_ic(p + fuzziness*Vector(1,1), q - fuzziness*Vector(1,1));
Iso_rectangle outer_ic(p - fuzziness*Vector(1,1), q + fuzziness*Vector(1,1));
// If the fuziness is greater than half of the largest dimension of the box,
// then the inner box does not exist
const FT max_box_edge_length = (std::max)(q[1] - p[1], q[0] - p[0]);
const bool is_inner_c_empty = (fuzziness > 0.5 * max_box_edge_length);
if(is_inner_c_empty)
std::cout << " (empty inner box)... ";
for (typename std::list<typename SearchTraits::Point_d>::iterator pt=result.begin(); (pt != result.end()); ++pt)
{
// a point can only be reported if it is in the outer box
bool is_correct = outer_ic.has_on_bounded_side(get_point(*pt)) || outer_ic.has_on_boundary(get_point(*pt));
if(!is_correct)
std::cout << get_point(*pt) << " should have not been reported" << std::endl;
assert(is_correct);
all_points.remove(get_point(*pt));
}
for (std::list<Point>::iterator pt=all_points.begin(); (pt != all_points.end()); ++pt) {
assert(inner_ic.has_on_unbounded_side(*pt) || inner_ic.has_on_boundary(*pt));
// nothing to test if the inner box is empty because everything is on the unbounded side
if(!is_inner_c_empty)
{
for (std::list<Point>::iterator pt=all_points.begin(); (pt != all_points.end()); ++pt)
{
// all points that have not been reported must be outside the inner box
bool is_correct = inner_ic.has_on_unbounded_side(*pt);
if(!is_correct)
std::cout << *pt << " should have been reported" << std::endl;
assert(is_correct);
}
}
std::cout << "done" << std::endl;
}
int main() {
template <class SearchTraits>
void run(std::list<Point> all_points) // intentional copy
{
// Insert also the N points in the tree
CGAL::Kd_tree<SearchTraits> tree(
boost::make_transform_iterator(all_points.begin(), Create_point_with_info<typename SearchTraits::Point_d>()),
boost::make_transform_iterator(all_points.end(), Create_point_with_info<typename SearchTraits::Point_d>())
);
// bigger box
Point p0(-10., -10.);
Point q0( 10., 10.);
// a subset
Point p1(-CGAL_PI/10., -CGAL_PI/10.);
Point q1( CGAL_PI/10., CGAL_PI/10.);
// another subset
Point p2(0.1, 0.2);
Point q2(0.3, 0.4);
// degenerate
Point p3(0., 0.);
Point q3(0., 0.);
run_with_fuzziness<SearchTraits>(all_points, tree, p0, q0, 0. /*fuzziness*/);
run_with_fuzziness<SearchTraits>(all_points, tree, p0, q0, 0.1 /*fuzziness*/);
run_with_fuzziness<SearchTraits>(all_points, tree, p0, q0, 1. /*fuzziness*/);
run_with_fuzziness<SearchTraits>(all_points, tree, p0, q0, 10. /*fuzziness*/);
run_with_fuzziness<SearchTraits>(all_points, tree, p1, q1, 0. /*fuzziness*/);
run_with_fuzziness<SearchTraits>(all_points, tree, p1, q1, 0.1 /*fuzziness*/);
run_with_fuzziness<SearchTraits>(all_points, tree, p1, q1, 1. /*fuzziness*/);
run_with_fuzziness<SearchTraits>(all_points, tree, p1, q1, 10. /*fuzziness*/);
run_with_fuzziness<SearchTraits>(all_points, tree, p2, q2, 0. /*fuzziness*/);
run_with_fuzziness<SearchTraits>(all_points, tree, p2, q2, 0.1 /*fuzziness*/);
run_with_fuzziness<SearchTraits>(all_points, tree, p2, q2, 0.4 /*fuzziness*/);
run_with_fuzziness<SearchTraits>(all_points, tree, p3, q3, 0. /*fuzziness*/);
run_with_fuzziness<SearchTraits>(all_points, tree, p3, q3, 0.33 /*fuzziness*/);
run_with_fuzziness<SearchTraits>(all_points, tree, p3, q3, 1. /*fuzziness*/);
}
int main()
{
const int N=10000;
// generator for random data points in the square ( (-1,-1), (1,1) )
Random_points_iterator rpit( 1.0);
Random_points_iterator rpit(1.0);
// construct list containing N random points
std::list<Point> all_points(N_Random_points_iterator(rpit,0),
N_Random_points_iterator(N));
N_Random_points_iterator(N));
// add some interesting points
all_points.push_back(Point(0., 0.));
all_points.push_back(Point(-CGAL_PI/10.+0.1, -CGAL_PI/10.+0.1));
all_points.push_back(Point(1., 1.));
all_points.push_back(Point(0., 1.));
all_points.push_back(Point(0.3, 0.4));
all_points.push_back(Point(0.2, 0.3));
all_points.push_back(Point(0., 0.1));
run<Traits>(all_points);
run<Traits_with_info>(all_points);