klayout/src/db/unit_tests/dbQuadTreeTests.cc

596 lines
18 KiB
C++

/*
KLayout Layout Viewer
Copyright (C) 2006-2025 Matthias Koefferlein
This program is free software; you can redistribute it and/or modify
it under the terms of the GNU General Public License as published by
the Free Software Foundation; either version 2 of the License, or
(at your option) any later version.
This program is distributed in the hope that it will be useful,
but WITHOUT ANY WARRANTY; without even the implied warranty of
MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
GNU General Public License for more details.
You should have received a copy of the GNU General Public License
along with this program; if not, write to the Free Software
Foundation, Inc., 51 Franklin St, Fifth Floor, Boston, MA 02110-1301 USA
*/
#include "dbQuadTree.h"
#include "dbBoxConvert.h"
#include "tlUnitTest.h"
#include "tlString.h"
#include "tlTimer.h"
#include <stdlib.h>
struct MyQuadTreeCMP
{
bool operator() (const db::DBox &a, const db::DBox &b) const
{
return a.equal (b);
}
};
typedef db::quad_tree<db::DBox, db::box_convert<db::DBox>, size_t (1), MyQuadTreeCMP> MyQuadTree;
std::string find_all (const MyQuadTree &qt)
{
std::vector<std::string> v;
auto i = qt.begin ();
while (! i.at_end ()) {
v.push_back (i->to_string ());
++i;
}
std::sort (v.begin (), v.end ());
return tl::join (v, "/");
}
std::string find_touching (const MyQuadTree &qt, const db::DBox &box, bool report = false)
{
std::vector<std::string> v;
auto i = qt.begin_touching (box);
while (! i.at_end ()) {
v.push_back (i->to_string ());
++i;
}
if (report) {
tl::info << v.size () << " items found.";
}
std::sort (v.begin (), v.end ());
return tl::join (v, "/");
}
std::string find_touching_from_all (const MyQuadTree &qt, const db::DBox &box)
{
std::vector<std::string> v;
auto i = qt.begin ();
while (! i.at_end ()) {
if (i->touches (box)) {
v.push_back (i->to_string ());
}
++i;
}
std::sort (v.begin (), v.end ());
return tl::join (v, "/");
}
std::string find_overlapping (const MyQuadTree &qt, const db::DBox &box, bool report = false)
{
std::vector<std::string> v;
auto i = qt.begin_overlapping (box);
while (! i.at_end ()) {
v.push_back (i->to_string ());
++i;
}
if (report) {
tl::info << v.size () << " items found.";
}
std::sort (v.begin (), v.end ());
return tl::join (v, "/");
}
std::string find_overlapping_from_all (const MyQuadTree &qt, const db::DBox &box)
{
std::vector<std::string> v;
auto i = qt.begin ();
while (! i.at_end ()) {
if (i->overlaps (box)) {
v.push_back (i->to_string ());
}
++i;
}
std::sort (v.begin (), v.end ());
return tl::join (v, "/");
}
TEST(basic)
{
MyQuadTree tree;
EXPECT_EQ (tree.empty (), true);
EXPECT_EQ (tree.size (), size_t (0));
EXPECT_EQ (tree.check (), true);
EXPECT_EQ (tree.levels (), size_t (1));
tree.insert (db::DBox ());
EXPECT_EQ (tree.empty (), true);
EXPECT_EQ (tree.size (), size_t (0));
EXPECT_EQ (tree.check (), true);
EXPECT_EQ (tree.levels (), size_t (1));
tree.insert (db::DBox (-1, -2, 3, 4));
EXPECT_EQ (tree.empty (), false);
EXPECT_EQ (tree.size (), size_t (1));
EXPECT_EQ (tree.check (), true);
EXPECT_EQ (tree.levels (), size_t (1));
EXPECT_EQ (find_all (tree), "(-1,-2;3,4)");
db::DBox bx;
bx = db::DBox (-2, 0, -1, 0);
EXPECT_EQ (find_touching (tree, bx), find_touching_from_all (tree, bx));
EXPECT_EQ (find_overlapping (tree, bx), find_overlapping_from_all (tree, bx));
bx = db::DBox (-2, -3, -1, -2);
EXPECT_EQ (find_touching (tree, bx), find_touching_from_all (tree, bx));
EXPECT_EQ (find_overlapping (tree, bx), find_overlapping_from_all (tree, bx));
bx = db::DBox (-2, -3, -1, -2.5);
EXPECT_EQ (find_touching (tree, bx), find_touching_from_all (tree, bx));
EXPECT_EQ (find_overlapping (tree, bx), find_overlapping_from_all (tree, bx));
bx = db::DBox (-2, 4, -1, 5);
EXPECT_EQ (find_touching (tree, bx), find_touching_from_all (tree, bx));
EXPECT_EQ (find_overlapping (tree, bx), find_overlapping_from_all (tree, bx));
bx = db::DBox (-2, 4.5, -1, 5);
EXPECT_EQ (find_touching (tree, bx), find_touching_from_all (tree, bx));
EXPECT_EQ (find_overlapping (tree, bx), find_overlapping_from_all (tree, bx));
bx = db::DBox (-2, 3, -1, 5);
EXPECT_EQ (find_touching (tree, bx), find_touching_from_all (tree, bx));
EXPECT_EQ (find_overlapping (tree, bx), find_overlapping_from_all (tree, bx));
bx = db::DBox (-2, 3, -1.5, 5);
EXPECT_EQ (find_touching (tree, bx), find_touching_from_all (tree, bx));
EXPECT_EQ (find_overlapping (tree, bx), find_overlapping_from_all (tree, bx));
tree.insert (db::DBox (-1, -3, 3, 0));
EXPECT_EQ (tree.empty (), false);
EXPECT_EQ (tree.size (), size_t (2));
EXPECT_EQ (tree.check (), true);
EXPECT_EQ (tree.levels (), size_t (1));
EXPECT_EQ (find_all (tree), "(-1,-2;3,4)/(-1,-3;3,0)");
bx = db::DBox (-2, 0, -1, 0);
EXPECT_EQ (find_touching (tree, bx), find_touching_from_all (tree, bx));
EXPECT_EQ (find_overlapping (tree, bx), find_overlapping_from_all (tree, bx));
bx = db::DBox (-2, -3, -1, -2);
EXPECT_EQ (find_touching (tree, bx), find_touching_from_all (tree, bx));
EXPECT_EQ (find_overlapping (tree, bx), find_overlapping_from_all (tree, bx));
bx = db::DBox (-2, -3, -1, -2.5);
EXPECT_EQ (find_touching (tree, bx), find_touching_from_all (tree, bx));
EXPECT_EQ (find_overlapping (tree, bx), find_overlapping_from_all (tree, bx));
bx = db::DBox (-2, 4, -1, 5);
EXPECT_EQ (find_touching (tree, bx), find_touching_from_all (tree, bx));
EXPECT_EQ (find_overlapping (tree, bx), find_overlapping_from_all (tree, bx));
bx = db::DBox (-2, 4.5, -1, 5);
EXPECT_EQ (find_touching (tree, bx), find_touching_from_all (tree, bx));
EXPECT_EQ (find_overlapping (tree, bx), find_overlapping_from_all (tree, bx));
bx = db::DBox (-2, 3, -1, 5);
EXPECT_EQ (find_touching (tree, bx), find_touching_from_all (tree, bx));
EXPECT_EQ (find_overlapping (tree, bx), find_overlapping_from_all (tree, bx));
bx = db::DBox (-2, 3, -1.5, 5);
EXPECT_EQ (find_touching (tree, bx), find_touching_from_all (tree, bx));
EXPECT_EQ (find_overlapping (tree, bx), find_overlapping_from_all (tree, bx));
tree.insert (db::DBox (-1, -3, -0.5, -2));
EXPECT_EQ (tree.empty (), false);
EXPECT_EQ (tree.size (), size_t (3));
EXPECT_EQ (tree.check (), true);
EXPECT_EQ (tree.levels (), size_t (3));
EXPECT_EQ (find_all (tree), "(-1,-2;3,4)/(-1,-3;-0.5,-2)/(-1,-3;3,0)");
bx = db::DBox (-2, 0, -1, 0);
EXPECT_EQ (find_touching (tree, bx), find_touching_from_all (tree, bx));
EXPECT_EQ (find_overlapping (tree, bx), find_overlapping_from_all (tree, bx));
bx = db::DBox (-2, -3, -1, -2);
EXPECT_EQ (find_touching (tree, bx), find_touching_from_all (tree, bx));
EXPECT_EQ (find_overlapping (tree, bx), find_overlapping_from_all (tree, bx));
bx = db::DBox (-2, -3, -1, -2.5);
EXPECT_EQ (find_touching (tree, bx), find_touching_from_all (tree, bx));
EXPECT_EQ (find_overlapping (tree, bx), find_overlapping_from_all (tree, bx));
bx = db::DBox (-2, 4, -1, 5);
EXPECT_EQ (find_touching (tree, bx), find_touching_from_all (tree, bx));
EXPECT_EQ (find_overlapping (tree, bx), find_overlapping_from_all (tree, bx));
bx = db::DBox (-2, 4.5, -1, 5);
EXPECT_EQ (find_touching (tree, bx), find_touching_from_all (tree, bx));
EXPECT_EQ (find_overlapping (tree, bx), find_overlapping_from_all (tree, bx));
bx = db::DBox (-2, 3, -1, 5);
EXPECT_EQ (find_touching (tree, bx), find_touching_from_all (tree, bx));
EXPECT_EQ (find_overlapping (tree, bx), find_overlapping_from_all (tree, bx));
bx = db::DBox (-2, 3, -1.5, 5);
EXPECT_EQ (find_touching (tree, bx), find_touching_from_all (tree, bx));
EXPECT_EQ (find_overlapping (tree, bx), find_overlapping_from_all (tree, bx));
tree.insert (db::DBox (-1, -3, -0.5, 2));
EXPECT_EQ (tree.empty (), false);
EXPECT_EQ (tree.size (), size_t (4));
EXPECT_EQ (tree.check (), true);
EXPECT_EQ (tree.levels (), size_t (3));
EXPECT_EQ (find_all (tree), "(-1,-2;3,4)/(-1,-3;-0.5,-2)/(-1,-3;-0.5,2)/(-1,-3;3,0)");
bx = db::DBox (-2, 0, -1, 0);
EXPECT_EQ (find_touching (tree, bx), find_touching_from_all (tree, bx));
EXPECT_EQ (find_overlapping (tree, bx), find_overlapping_from_all (tree, bx));
bx = db::DBox (-2, -3, -1, -2);
EXPECT_EQ (find_touching (tree, bx), find_touching_from_all (tree, bx));
EXPECT_EQ (find_overlapping (tree, bx), find_overlapping_from_all (tree, bx));
bx = db::DBox (-2, -3, -1, -2.5);
EXPECT_EQ (find_touching (tree, bx), find_touching_from_all (tree, bx));
EXPECT_EQ (find_overlapping (tree, bx), find_overlapping_from_all (tree, bx));
bx = db::DBox (-2, 4, -1, 5);
EXPECT_EQ (find_touching (tree, bx), find_touching_from_all (tree, bx));
EXPECT_EQ (find_overlapping (tree, bx), find_overlapping_from_all (tree, bx));
bx = db::DBox (-2, 4.5, -1, 5);
EXPECT_EQ (find_touching (tree, bx), find_touching_from_all (tree, bx));
EXPECT_EQ (find_overlapping (tree, bx), find_overlapping_from_all (tree, bx));
bx = db::DBox (-2, 3, -1, 5);
EXPECT_EQ (find_touching (tree, bx), find_touching_from_all (tree, bx));
EXPECT_EQ (find_overlapping (tree, bx), find_overlapping_from_all (tree, bx));
bx = db::DBox (-2, 3, -1.5, 5);
EXPECT_EQ (find_touching (tree, bx), find_touching_from_all (tree, bx));
EXPECT_EQ (find_overlapping (tree, bx), find_overlapping_from_all (tree, bx));
}
TEST(remove)
{
MyQuadTree tree;
tree.insert (db::DBox (-1, -2, 3, 4));
tree.insert (db::DBox (-1, -3, 3, 0));
tree.insert (db::DBox (-1, -3, -0.5, -2));
tree.insert (db::DBox (-1, -3, -0.5, 2));
EXPECT_EQ (tree.check (), true);
EXPECT_EQ (find_all (tree), "(-1,-2;3,4)/(-1,-3;-0.5,-2)/(-1,-3;-0.5,2)/(-1,-3;3,0)");
EXPECT_EQ (tree.erase (db::DBox (-1, -3, -0.5, -1)), false);
EXPECT_EQ (tree.erase (db::DBox (-1, -3, -0.5, -2)), true);
EXPECT_EQ (tree.check (), true);
EXPECT_EQ (find_all (tree), "(-1,-2;3,4)/(-1,-3;-0.5,2)/(-1,-3;3,0)");
while (! tree.empty ()) {
EXPECT_EQ (tree.erase (*tree.begin ()), true);
EXPECT_EQ (tree.check (), true);
}
EXPECT_EQ (tree.size (), size_t (0));
EXPECT_EQ (tree.levels (), size_t (1));
}
TEST(grow)
{
MyQuadTree tree;
tree.insert (db::DBox (-1, -2, 3, 4));
tree.insert (db::DBox (-1, -3, 3, 0));
tree.insert (db::DBox (-1, -3, -0.5, -2));
tree.insert (db::DBox (-1, -3, -0.5, 2));
EXPECT_EQ (tree.levels (), size_t (3));
tree.insert (db::DBox (-100, -3, -99, 2));
EXPECT_EQ (tree.levels (), size_t (8));
EXPECT_EQ (tree.check (), true);
EXPECT_EQ (find_all (tree), "(-1,-2;3,4)/(-1,-3;-0.5,-2)/(-1,-3;-0.5,2)/(-1,-3;3,0)/(-100,-3;-99,2)");
EXPECT_EQ (find_overlapping (tree, db::DBox (-100, -100, -90, 100)), "(-100,-3;-99,2)");
bool r = true;
while (r && ! tree.empty ()) {
r = tree.erase (*tree.begin ());
EXPECT_EQ (r, true);
EXPECT_EQ (tree.check (), true);
}
EXPECT_EQ (tree.size (), size_t (0));
EXPECT_EQ (tree.levels (), size_t (1));
}
TEST(grow2)
{
MyQuadTree tree;
tree.insert (db::DBox (-1, -2, 3, 4));
tree.insert (db::DBox (-1, -3, 3, 0));
tree.insert (db::DBox (-1, -3, -0.5, -2));
tree.insert (db::DBox (-1, -3, -0.5, 2));
EXPECT_EQ (tree.levels (), size_t (3));
tree.insert (db::DBox (-100, -3, -99, -1));
EXPECT_EQ (tree.levels (), size_t (8));
EXPECT_EQ (tree.check (), true);
EXPECT_EQ (find_all (tree), "(-1,-2;3,4)/(-1,-3;-0.5,-2)/(-1,-3;-0.5,2)/(-1,-3;3,0)/(-100,-3;-99,-1)");
EXPECT_EQ (find_overlapping (tree, db::DBox (-100, -100, -90, 100)), "(-100,-3;-99,-1)");
bool r = true;
while (r && ! tree.empty ()) {
r = tree.erase (*tree.begin ());
EXPECT_EQ (r, true);
EXPECT_EQ (tree.check (), true);
}
EXPECT_EQ (tree.size (), size_t (0));
EXPECT_EQ (tree.levels (), size_t (1));
}
TEST(clear)
{
MyQuadTree tree;
tree.insert (db::DBox (-1, -2, 3, 4));
tree.insert (db::DBox (-1, -3, 3, 0));
tree.insert (db::DBox (-1, -3, -0.5, -2));
tree.insert (db::DBox (-1, -3, -0.5, 2));
EXPECT_EQ (tree.check (), true);
EXPECT_EQ (find_all (tree), "(-1,-2;3,4)/(-1,-3;-0.5,-2)/(-1,-3;-0.5,2)/(-1,-3;3,0)");
tree.clear ();
EXPECT_EQ (tree.check (), true);
EXPECT_EQ (tree.empty (), true);
EXPECT_EQ (tree.size (), size_t (0));
EXPECT_EQ (tree.levels (), size_t (1));
EXPECT_EQ (find_all (tree), "");
}
TEST(copy)
{
MyQuadTree tree;
tree.insert (db::DBox (-1, -2, 3, 4));
tree.insert (db::DBox (-1, -3, 3, 0));
tree.insert (db::DBox (-1, -3, -0.5, -2));
tree.insert (db::DBox (-1, -3, -0.5, 2));
EXPECT_EQ (tree.check (), true);
EXPECT_EQ (find_all (tree), "(-1,-2;3,4)/(-1,-3;-0.5,-2)/(-1,-3;-0.5,2)/(-1,-3;3,0)");
EXPECT_EQ (tree.levels (), size_t (3));
MyQuadTree tree2 (tree);
tree.clear ();
EXPECT_EQ (tree2.check (), true);
EXPECT_EQ (find_all (tree2), "(-1,-2;3,4)/(-1,-3;-0.5,-2)/(-1,-3;-0.5,2)/(-1,-3;3,0)");
EXPECT_EQ (tree2.levels (), size_t (3));
}
TEST(assign)
{
MyQuadTree tree;
tree.insert (db::DBox (-1, -2, 3, 4));
tree.insert (db::DBox (-1, -3, 3, 0));
tree.insert (db::DBox (-1, -3, -0.5, -2));
tree.insert (db::DBox (-1, -3, -0.5, 2));
EXPECT_EQ (tree.check (), true);
EXPECT_EQ (find_all (tree), "(-1,-2;3,4)/(-1,-3;-0.5,-2)/(-1,-3;-0.5,2)/(-1,-3;3,0)");
EXPECT_EQ (tree.levels (), size_t (3));
MyQuadTree tree2;
tree2 = tree;
tree.clear ();
EXPECT_EQ (tree2.check (), true);
EXPECT_EQ (find_all (tree2), "(-1,-2;3,4)/(-1,-3;-0.5,-2)/(-1,-3;-0.5,2)/(-1,-3;3,0)");
EXPECT_EQ (tree2.levels (), size_t (3));
}
TEST(swap)
{
MyQuadTree tree;
tree.insert (db::DBox (-1, -2, 3, 4));
tree.insert (db::DBox (-1, -3, 3, 0));
tree.insert (db::DBox (-1, -3, -0.5, -2));
tree.insert (db::DBox (-1, -3, -0.5, 2));
EXPECT_EQ (tree.check (), true);
EXPECT_EQ (find_all (tree), "(-1,-2;3,4)/(-1,-3;-0.5,-2)/(-1,-3;-0.5,2)/(-1,-3;3,0)");
EXPECT_EQ (tree.levels (), size_t (3));
MyQuadTree tree2;
tree2.swap (tree);
EXPECT_EQ (tree.check (), true);
EXPECT_EQ (tree.empty (), true);
EXPECT_EQ (find_all (tree), "");
EXPECT_EQ (tree.levels (), size_t (1));
EXPECT_EQ (tree2.check (), true);
EXPECT_EQ (find_all (tree2), "(-1,-2;3,4)/(-1,-3;-0.5,-2)/(-1,-3;-0.5,2)/(-1,-3;3,0)");
EXPECT_EQ (tree2.levels (), size_t (3));
}
TEST(move)
{
MyQuadTree tree;
tree.insert (db::DBox (-1, -2, 3, 4));
tree.insert (db::DBox (-1, -3, 3, 0));
tree.insert (db::DBox (-1, -3, -0.5, -2));
tree.insert (db::DBox (-1, -3, -0.5, 2));
EXPECT_EQ (tree.check (), true);
EXPECT_EQ (find_all (tree), "(-1,-2;3,4)/(-1,-3;-0.5,-2)/(-1,-3;-0.5,2)/(-1,-3;3,0)");
EXPECT_EQ (tree.levels (), size_t (3));
MyQuadTree tree2;
tree2 = std::move (tree);
EXPECT_EQ (tree.check (), true);
EXPECT_EQ (tree.empty (), true);
EXPECT_EQ (find_all (tree), "");
EXPECT_EQ (tree.levels (), size_t (1));
EXPECT_EQ (tree2.check (), true);
EXPECT_EQ (find_all (tree2), "(-1,-2;3,4)/(-1,-3;-0.5,-2)/(-1,-3;-0.5,2)/(-1,-3;3,0)");
EXPECT_EQ (tree2.levels (), size_t (3));
}
TEST(move_ctor)
{
MyQuadTree tree;
tree.insert (db::DBox (-1, -2, 3, 4));
tree.insert (db::DBox (-1, -3, 3, 0));
tree.insert (db::DBox (-1, -3, -0.5, -2));
tree.insert (db::DBox (-1, -3, -0.5, 2));
EXPECT_EQ (tree.check (), true);
EXPECT_EQ (find_all (tree), "(-1,-2;3,4)/(-1,-3;-0.5,-2)/(-1,-3;-0.5,2)/(-1,-3;3,0)");
EXPECT_EQ (tree.levels (), size_t (3));
MyQuadTree tree2 (std::move (tree));
EXPECT_EQ (tree.check (), true);
EXPECT_EQ (tree.empty (), true);
EXPECT_EQ (find_all (tree), "");
EXPECT_EQ (tree.levels (), size_t (1));
EXPECT_EQ (tree2.check (), true);
EXPECT_EQ (find_all (tree2), "(-1,-2;3,4)/(-1,-3;-0.5,-2)/(-1,-3;-0.5,2)/(-1,-3;3,0)");
EXPECT_EQ (tree2.levels (), size_t (3));
}
static double rvalue ()
{
return ((rand () % 1000000) - 5000) * 0.001;
}
static db::DBox rbox ()
{
db::DBox box;
while ((box = db::DBox (db::DPoint (rvalue (), rvalue ()), db::DPoint (rvalue (), rvalue ()))).empty ()) {
;
}
return box;
}
static db::DBox rbox (double dim)
{
db::DBox box;
db::DPoint c (rvalue (), rvalue ());
return box = db::DBox (c, c).enlarged (db::DVector (dim * 0.5, dim * 0.5));
}
TEST(many)
{
MyQuadTree tree;
unsigned int n = 1000;
unsigned int ntests = 100;
for (unsigned int i = 0; i < n; ++i) {
tree.insert (rbox ());
}
EXPECT_EQ (tree.check (), true);
EXPECT_EQ (tree.size (), size_t (n));
bool report = false;
for (unsigned int i = 0; i < ntests; ++i) {
if (report) {
tl::info << "Test iteration " << i << " ...";
}
auto bx = rbox ();
EXPECT_EQ (find_overlapping (tree, bx, report), find_overlapping_from_all (tree, bx));
EXPECT_EQ (find_touching (tree, bx, report), find_touching_from_all (tree, bx));
bx = db::DBox (bx.center (), bx.center ());
EXPECT_EQ (find_touching (tree, bx, report), find_touching_from_all (tree, bx));
}
bool r = true;
while (r && ! tree.empty ()) {
r = tree.erase (*tree.begin ());
EXPECT_EQ (r, true);
EXPECT_EQ (tree.check (), true);
}
EXPECT_EQ (tree.empty (), true);
EXPECT_EQ (tree.check (), true);
EXPECT_EQ (tree.levels (), size_t (1));
EXPECT_EQ (tree.size (), size_t (0));
}
TEST(timing_insert)
{
MyQuadTree tree;
{
unsigned int n = 1000000;
tl::SelfTimer timer (tl::sprintf ("%d inserts ..", int (n)));
for (unsigned int i = 0; i < n; ++i) {
tree.insert (rbox ());
}
tl::info << "Quad levels: " << tree.levels ();
}
tree.clear ();
{
unsigned int n = 2000000;
tl::SelfTimer timer (tl::sprintf ("%d inserts ..", int (n)));
for (unsigned int i = 0; i < n; ++i) {
tree.insert (rbox ());
}
tl::info << "Quad levels: " << tree.levels ();
}
}
TEST(timing_lookup)
{
test_is_long_runner ();
MyQuadTree tree;
unsigned int n = 1000000;
for (unsigned int i = 0; i < n; ++i) {
tree.insert (rbox (5.0));
}
unsigned int ntests = 1000;
std::vector<std::pair<db::DBox, std::pair<size_t, size_t> > > tests;
for (unsigned int i = 0; i < ntests; ++i) {
db::DBox bx = rbox (5.0);
tests.push_back (std::make_pair (bx, std::make_pair (size_t (0), size_t (0))));
}
{
tl::SelfTimer timer (tl::sprintf ("%d tests (lookup) ..", int (ntests)));
for (auto t = tests.begin (); t != tests.end (); ++t) {
size_t n = 0;
for (auto i = tree.begin_touching (t->first); ! i.at_end (); ++i) {
++n;
}
t->second.first = n;
}
}
{
tl::SelfTimer timer (tl::sprintf ("%d tests (brute force) ..", int (ntests)));
for (auto t = tests.begin (); t != tests.end (); ++t) {
size_t n = 0;
for (auto i = tree.begin (); ! i.at_end (); ++i) {
if (i->touches (t->first)) {
++n;
}
}
t->second.second = n;
}
}
for (auto t = tests.begin (); t != tests.end (); ++t) {
EXPECT_EQ (t->second.first, t->second.second);
}
}