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aka_bbox.hh
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/**
* Copyright (©) 2018-2023 EPFL (Ecole Polytechnique Fédérale de Lausanne)
* Laboratory (LSMS - Laboratoire de Simulation en Mécanique des Solides)
*
* This file is part of Akantu
*
* Akantu is free software: you can redistribute it and/or modify it under the
* terms of the GNU Lesser General Public License as published by the Free
* Software Foundation, either version 3 of the License, or (at your option) any
* later version.
*
* Akantu 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 Lesser General Public License for more
* details.
*
* You should have received a copy of the GNU Lesser General Public License
* along with Akantu. If not, see <http://www.gnu.org/licenses/>.
*/
/* -------------------------------------------------------------------------- */
#include "aka_iterators.hh"
#include "aka_math.hh"
#include "aka_types.hh"
#include "communicator.hh"
/* -------------------------------------------------------------------------- */
#include <map>
#include <vector>
/* -------------------------------------------------------------------------- */
#ifndef AKANTU_AKA_BBOX_HH_
#define AKANTU_AKA_BBOX_HH_
namespace akantu {
class BBox {
public:
BBox() = default;
BBox(Int spatial_dimension)
: dim(spatial_dimension), lower_bounds(spatial_dimension),
upper_bounds(spatial_dimension) {
lower_bounds.fill(std::numeric_limits<Real>::max());
upper_bounds.fill(-std::numeric_limits<Real>::max());
}
BBox(const BBox & other)
: dim(other.dim), empty{false}, lower_bounds(other.lower_bounds),
upper_bounds(other.upper_bounds) {}
BBox & operator=(const BBox & other) {
if (this != &other) {
this->dim = other.dim;
this->lower_bounds = other.lower_bounds;
this->upper_bounds = other.upper_bounds;
this->empty = other.empty;
}
return *this;
}
inline BBox & operator+=(const Vector<Real> & position) {
AKANTU_DEBUG_ASSERT(
this->dim == position.size(),
"You are adding a point of a wrong dimension to the bounding box");
this->empty = false;
for (auto s : arange(dim)) {
lower_bounds(s) = std::min(lower_bounds(s), position(s));
upper_bounds(s) = std::max(upper_bounds(s), position(s));
}
return *this;
}
/* ------------------------------------------------------------------------ */
inline bool intersects(const BBox & other,
const SpatialDirection & direction) const {
AKANTU_DEBUG_ASSERT(
this->dim == other.dim,
"You are intersecting bounding boxes of different dimensions");
return Math::intersects(lower_bounds(direction), upper_bounds(direction),
other.lower_bounds(direction),
other.upper_bounds(direction));
}
inline bool intersects(const BBox & other) const {
if (this->empty or other.empty) {
return false;
}
bool intersects_ = true;
for (auto s : arange(this->dim)) {
intersects_ &= this->intersects(other, SpatialDirection(s));
}
return intersects_;
}
/* ------------------------------------------------------------------------ */
inline BBox intersection(const BBox & other) const {
AKANTU_DEBUG_ASSERT(
this->dim == other.dim,
"You are intersecting bounding boxes of different dimensions");
BBox intersection_(this->dim);
intersection_.empty = not this->intersects(other);
if (intersection_.empty) {
return intersection_;
}
for (auto s : arange(this->dim)) {
// is lower point in range ?
bool point1 = Math::is_in_range(other.lower_bounds(s), lower_bounds(s),
upper_bounds(s));
// is upper point in range ?
bool point2 = Math::is_in_range(other.upper_bounds(s), lower_bounds(s),
upper_bounds(s));
if (point1 and not point2) {
// |-----------| this (i)
// |-----------| other(i)
// 1 2
intersection_.lower_bounds(s) = other.lower_bounds(s);
intersection_.upper_bounds(s) = upper_bounds(s);
} else if (point1 && point2) {
// |-----------------| this (i)
// |-----------| other(i)
// 1 2
intersection_.lower_bounds(s) = other.lower_bounds(s);
intersection_.upper_bounds(s) = other.upper_bounds(s);
} else if (!point1 && point2) {
// |-----------| this (i)
// |-----------| other(i)
// 1 2
intersection_.lower_bounds(s) = this->lower_bounds(s);
intersection_.upper_bounds(s) = other.upper_bounds(s);
} else {
// |-----------| this (i)
// |-----------------| other(i)
// 1 2
intersection_.lower_bounds(s) = this->lower_bounds(s);
intersection_.upper_bounds(s) = this->upper_bounds(s);
}
}
return intersection_;
}
/* ------------------------------------------------------------------------ */
template <class Derived>
inline bool contains(const Eigen::MatrixBase<Derived> & point) const {
return (point.array() >= lower_bounds.array()).all() and
(point.array() <= upper_bounds.array()).all();
}
/* ------------------------------------------------------------------------ */
inline void reset() {
lower_bounds.set(std::numeric_limits<Real>::max());
upper_bounds.set(std::numeric_limits<Real>::lowest());
}
/* ------------------------------------------------------------------------ */
template <class Derived>
inline void getCenter(Eigen::MatrixBase<Derived> & center) {
center = (upper_bounds + lower_bounds) / 2.;
}
/* ------------------------------------------------------------------------ */
const Vector<Real> & getLowerBounds() const { return lower_bounds; }
const Vector<Real> & getUpperBounds() const { return upper_bounds; }
template <typename D>
void setLowerBounds(const Eigen::MatrixBase<D> & lower_bounds) {
this->lower_bounds = lower_bounds;
this->empty = false;
}
template <typename D>
void setUpperBounds(const Eigen::MatrixBase<D> & upper_bounds) {
this->upper_bounds = upper_bounds;
this->empty = false;
}
/* ------------------------------------------------------------------------ */
inline Real size(const SpatialDirection & direction) const {
return upper_bounds(direction) - lower_bounds(direction);
}
Vector<Real> size() const {
Vector<Real> size_(dim);
for (auto s : arange(this->dim)) {
size_(s) = this->size(SpatialDirection(s));
}
return size_;
}
inline operator bool() const { return not empty; }
/* ------------------------------------------------------------------------ */
BBox allSum(const Communicator & communicator) const {
Matrix<Real> reduce_bounds(dim, 2);
reduce_bounds(0) = lower_bounds;
reduce_bounds(1) = Real(-1.) * upper_bounds;
communicator.allReduce(reduce_bounds, SynchronizerOperation::_min);
BBox global(dim);
global.lower_bounds = reduce_bounds(0);
global.upper_bounds = Real(-1.) * reduce_bounds(1);
global.empty = false;
return global;
}
std::vector<BBox> allGather(const Communicator & communicator) const {
auto prank = communicator.whoAmI();
auto nb_proc = communicator.getNbProc();
Array<Real> bboxes_data(nb_proc, dim * 2 + 1);
auto * base = bboxes_data.data() + prank * (2 * dim + 1);
MatrixProxy<Real> bounds(base, dim, 2);
bounds(0) = lower_bounds;
bounds(1) = upper_bounds;
base[dim * 2] = empty ? 1. : 0.; // ugly trick
communicator.allGather(bboxes_data);
std::vector<BBox> bboxes;
bboxes.reserve(nb_proc);
for (auto p : arange(nb_proc)) {
bboxes.emplace_back(dim);
auto & bbox = bboxes.back();
auto * base = bboxes_data.data() + p * (2 * dim + 1);
MatrixProxy<Real> bounds(base, dim, 2);
bbox.lower_bounds = bounds(0);
bbox.upper_bounds = bounds(1);
bbox.empty = (base[dim * 2] == 1.);
}
return bboxes;
}
std::map<Int, BBox> intersection(const BBox & other,
const Communicator & communicator) const {
// todo: change for a custom reduction algorithm
auto other_bboxes = other.allGather(communicator);
std::map<Int, BBox> intersections;
for (const auto & bbox : enumerate(other_bboxes)) {
auto && tmp = this->intersection(std::get<1>(bbox));
if (tmp) {
intersections[std::get<0>(bbox)] = tmp;
}
}
return intersections;
}
void printself(std::ostream & stream) const {
stream << "BBox[";
if (not empty) {
stream << lower_bounds << " - " << upper_bounds;
}
stream << "]";
}
protected:
Int dim{0};
bool empty{true};
Vector<Real> lower_bounds;
Vector<Real> upper_bounds;
};
inline std::ostream & operator<<(std::ostream & stream, const BBox & bbox) {
bbox.printself(stream);
return stream;
}
} // namespace akantu
#endif /* AKANTU_AKA_BBOX_HH_ */

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