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///////////////////////////////////////////////////////////////////////////// | ||
// Copyright (c) 2024, Precision Innovations Inc. | ||
// All rights reserved. | ||
// | ||
// BSD 3-Clause License | ||
// | ||
// Redistribution and use in source and binary forms, with or without | ||
// modification, are permitted provided that the following conditions are met: | ||
// | ||
// * Redistributions of source code must retain the above copyright notice, this | ||
// list of conditions and the following disclaimer. | ||
// | ||
// * Redistributions in binary form must reproduce the above copyright notice, | ||
// this list of conditions and the following disclaimer in the documentation | ||
// and/or other materials provided with the distribution. | ||
// | ||
// * Neither the name of the copyright holder nor the names of its | ||
// contributors may be used to endorse or promote products derived from | ||
// this software without specific prior written permission. | ||
// | ||
// THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS "AS IS" | ||
// AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE | ||
// IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE | ||
// ARE DISCLAIMED. IN NO EVENT SHALL THE COPYRIGHT HOLDER OR CONTRIBUTORS BE | ||
// LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR | ||
// CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF | ||
// SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS | ||
// INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN | ||
// CONTRACT, STRICT LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) | ||
// ARISING IN ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE | ||
// POSSIBILITY OF SUCH DAMAGE. | ||
/////////////////////////////////////////////////////////////////////////////// | ||
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#include "KDTree.hpp" | ||
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#include <algorithm> | ||
#include <cmath> | ||
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KDTree::KDTree(const std::vector<std::pair<int, int>>& points) | ||
using odb::horizontal; | ||
namespace drt { | ||
KDTree::KDTree(const std::vector<Point>& points) | ||
{ | ||
std::vector<std::pair<int, std::pair<int, int>>> points_with_ids; | ||
std::vector<std::pair<int, Point>> points_with_ids; | ||
points_with_ids.reserve(points.size()); | ||
for (int i = 0; i < points.size(); i++) { | ||
for (int i = 0; i < points.size(); ++i) { | ||
points_with_ids.emplace_back(i, points[i]); | ||
} | ||
root = buildTree(points_with_ids, 0); | ||
} | ||
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std::vector<int> KDTree::radiusSearch(const std::pair<int, int>& target, | ||
int radius) const | ||
{ | ||
std::vector<int> result; | ||
radiusSearchHelper(root, target, radius, 0, result); | ||
return result; | ||
root_ = buildTree(points_with_ids, horizontal); | ||
} | ||
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KDTreeNode* KDTree::buildTree( | ||
const std::vector<std::pair<int, std::pair<int, int>>>& points, | ||
int depth) | ||
std::unique_ptr<KDTreeNode> KDTree::buildTree( | ||
const std::vector<std::pair<int, Point>>& points, | ||
const Orientation2D& orient) | ||
{ | ||
if (points.empty()) { | ||
return nullptr; | ||
} | ||
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auto sorted_points = points; | ||
size_t axis = depth % 2; | ||
std::sort(sorted_points.begin(), | ||
sorted_points.end(), | ||
[axis](const std::pair<int, std::pair<int, int>>& a, | ||
const std::pair<int, std::pair<int, int>>& b) { | ||
return axis == 0 ? a.second.first < b.second.first | ||
: a.second.second < b.second.second; | ||
}); | ||
std::sort( | ||
sorted_points.begin(), | ||
sorted_points.end(), | ||
[orient](const std::pair<int, Point>& a, const std::pair<int, Point>& b) { | ||
return orient == horizontal ? a.second.x() < b.second.x() | ||
: a.second.y() < b.second.y(); | ||
}); | ||
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size_t median_index = sorted_points.size() / 2; | ||
KDTreeNode* node = new KDTreeNode(sorted_points[median_index].first, | ||
sorted_points[median_index].second); | ||
const size_t median_index = sorted_points.size() / 2; | ||
std::unique_ptr<KDTreeNode> node = std::make_unique<KDTreeNode>( | ||
sorted_points[median_index].first, sorted_points[median_index].second); | ||
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std::vector<std::pair<int, std::pair<int, int>>> left_points( | ||
std::vector<std::pair<int, Point>> left_points( | ||
sorted_points.begin(), sorted_points.begin() + median_index); | ||
std::vector<std::pair<int, std::pair<int, int>>> right_points( | ||
std::vector<std::pair<int, Point>> right_points( | ||
sorted_points.begin() + median_index + 1, sorted_points.end()); | ||
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node->left = buildTree(left_points, depth + 1); | ||
node->right = buildTree(right_points, depth + 1); | ||
const auto next_orient = orient.turn_90(); | ||
node->left = buildTree(left_points, next_orient); | ||
node->right = buildTree(right_points, next_orient); | ||
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return node; | ||
} | ||
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std::vector<int> KDTree::radiusSearch(const Point& target, int radius) const | ||
{ | ||
std::vector<int> result; | ||
const frSquaredDistance radius_square | ||
= radius * static_cast<frSquaredDistance>(radius); | ||
radiusSearchHelper(root_.get(), target, radius_square, horizontal, result); | ||
return result; | ||
} | ||
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void KDTree::radiusSearchHelper(KDTreeNode* node, | ||
const std::pair<int, int>& target, | ||
int radius, | ||
int depth, | ||
const Point& target, | ||
const frSquaredDistance radius_square, | ||
const Orientation2D& orient, | ||
std::vector<int>& result) const | ||
{ | ||
if (!node) { | ||
return; | ||
} | ||
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int distance = std::sqrt(std::pow(node->point.first - target.first, 2) | ||
+ std::pow(node->point.second - target.second, 2)); | ||
if (distance <= radius) { | ||
const frCoord dx = target.x() - node->point.x(); | ||
const frCoord dy = target.y() - node->point.y(); | ||
const frSquaredDistance distance_square | ||
= dx * static_cast<frSquaredDistance>(dx) | ||
+ dy * static_cast<frSquaredDistance>(dy); | ||
if (distance_square <= radius_square) { | ||
result.push_back(node->id); | ||
} | ||
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size_t axis = depth % 2; | ||
int diff = (axis == 0 ? target.first - node->point.first | ||
: target.second - node->point.second); | ||
const frCoord diff = (orient == horizontal) ? dx : dy; | ||
const frSquaredDistance diff_square | ||
= diff * static_cast<frSquaredDistance>(diff); | ||
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const auto next_orient = orient.turn_90(); | ||
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if (diff < 0) { | ||
radiusSearchHelper(node->left, target, radius, depth + 1, result); | ||
if (std::abs(diff) <= radius) { | ||
radiusSearchHelper(node->right, target, radius, depth + 1, result); | ||
radiusSearchHelper( | ||
node->left.get(), target, radius_square, next_orient, result); | ||
if (diff_square <= radius_square) { | ||
radiusSearchHelper( | ||
node->right.get(), target, radius_square, next_orient, result); | ||
} | ||
} else { | ||
radiusSearchHelper(node->right, target, radius, depth + 1, result); | ||
if (std::abs(diff) <= radius) { | ||
radiusSearchHelper(node->left, target, radius, depth + 1, result); | ||
radiusSearchHelper( | ||
node->right.get(), target, radius_square, next_orient, result); | ||
if (diff_square <= radius_square) { | ||
radiusSearchHelper( | ||
node->left.get(), target, radius_square, next_orient, result); | ||
} | ||
} | ||
} | ||
} // namespace drt |
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///////////////////////////////////////////////////////////////////////////// | ||
// Copyright (c) 2024, Precision Innovations Inc. | ||
// All rights reserved. | ||
// | ||
// BSD 3-Clause License | ||
// | ||
// Redistribution and use in source and binary forms, with or without | ||
// modification, are permitted provided that the following conditions are met: | ||
// | ||
// * Redistributions of source code must retain the above copyright notice, this | ||
// list of conditions and the following disclaimer. | ||
// | ||
// * Redistributions in binary form must reproduce the above copyright notice, | ||
// this list of conditions and the following disclaimer in the documentation | ||
// and/or other materials provided with the distribution. | ||
// | ||
// * Neither the name of the copyright holder nor the names of its | ||
// contributors may be used to endorse or promote products derived from | ||
// this software without specific prior written permission. | ||
// | ||
// THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS "AS IS" | ||
// AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE | ||
// IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE | ||
// ARE DISCLAIMED. IN NO EVENT SHALL THE COPYRIGHT HOLDER OR CONTRIBUTORS BE | ||
// LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR | ||
// CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF | ||
// SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS | ||
// INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN | ||
// CONTRACT, STRICT LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) | ||
// ARISING IN ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE | ||
// POSSIBILITY OF SUCH DAMAGE. | ||
/////////////////////////////////////////////////////////////////////////////// | ||
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#pragma once | ||
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#include <memory> | ||
#include <vector> | ||
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#include "frBaseTypes.h" | ||
#include "odb/geom.h" | ||
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using odb::Orientation2D; | ||
using odb::Point; | ||
namespace drt { | ||
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struct KDTreeNode | ||
{ | ||
int id; | ||
std::pair<int, int> point; | ||
KDTreeNode* left{nullptr}; | ||
KDTreeNode* right{nullptr}; | ||
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KDTreeNode(const int& idIn, const std::pair<int, int>& pt) | ||
: id(idIn), point(pt) | ||
{ | ||
} | ||
Point point; | ||
std::unique_ptr<KDTreeNode> left; | ||
std::unique_ptr<KDTreeNode> right; | ||
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KDTreeNode(const int idIn, const Point& pt) : id(idIn), point(pt) {} | ||
}; | ||
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class KDTree | ||
{ | ||
public: | ||
KDTree(const std::vector<std::pair<int, int>>& points); | ||
KDTree(const std::vector<Point>& points); | ||
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~KDTree() { destroyTree(root); } | ||
~KDTree() = default; | ||
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std::vector<int> radiusSearch(const std::pair<int, int>& target, | ||
int radius) const; | ||
std::vector<int> radiusSearch(const Point& target, int radius) const; | ||
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private: | ||
KDTreeNode* root; | ||
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KDTreeNode* buildTree( | ||
const std::vector<std::pair<int, std::pair<int, int>>>& points, | ||
int depth); | ||
std::unique_ptr<KDTreeNode> buildTree( | ||
const std::vector<std::pair<int, Point>>& points, | ||
const Orientation2D& orient); | ||
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void radiusSearchHelper(KDTreeNode* node, | ||
const std::pair<int, int>& target, | ||
int radius, | ||
int depth, | ||
const Point& target, | ||
const frSquaredDistance radius_square, | ||
const Orientation2D& orient, | ||
std::vector<int>& result) const; | ||
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void destroyTree(KDTreeNode* node) | ||
{ | ||
if (!node) { | ||
return; | ||
} | ||
destroyTree(node->left); | ||
destroyTree(node->right); | ||
delete node; | ||
} | ||
std::unique_ptr<KDTreeNode> root_; | ||
}; | ||
} // namespace drt |
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