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aka_bounding_box.hh
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/**
* @file aka_bounding_box.hh
*
* @author Alejandro M. Aragón <alejandro.aragon@epfl.ch>
* @author David Simon Kammer <david.kammer@epfl.ch>
*
* @date creation: Fri Jan 04 2013
* @date last modification: Sun Oct 19 2014
*
* @brief class for a bounding box
*
* @section LICENSE
*
* Copyright (©) 2014, 2015 EPFL (Ecole Polytechnique Fédérale de Lausanne)
* Laboratory (LSMS - Laboratoire de Simulation en Mécanique des Solides)
*
* 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/>.
*
*/
/* -------------------------------------------------------------------------- */
#ifndef __AKANTU_AKA_BOUNDING_BOX_HH__
#define __AKANTU_AKA_BOUNDING_BOX_HH__
#include <iostream>
#include <iomanip>
#include "aka_common.hh"
#include "aka_point.hh"
__BEGIN_AKANTU__
using std::cout;
using std::endl;
template <int> class BoundingBox;
/// considers bounding box with respect to a list of points and adaptes it
template <int d, class point_container>
BoundingBox<d> computeBoundingBox(const point_container& points) {
typedef typename point_container::const_iterator point_iterator;
point_iterator it = points.begin();
assert(it != points.end());
BoundingBox<d> bbox(*it);
for (++it; it != points.end(); ++it)
bbox += *it;
return bbox;
}
template <int d, class nodes_container>
BoundingBox<d> createPointList(const nodes_container& nodes, const Array<Real>& coord);
template <int d>
class BoundingBox : public Bounding_volume<d> {
public:
typedef Bounding_volume<d> base_type;
typedef typename base_type::point_type point_type;
typedef typename point_type::value_type value_type;
static int dim()
{ return d; }
private:
/// minimum point
point_type min_;
/// maximum point
point_type max_;
public:
/// default constructor, creates an inconsistent bounding box
BoundingBox() : base_type(), min_(inf), max_(-inf) {}
/// point constructor, sets the bounding box to the point
BoundingBox(const point_type& p1) : base_type(), min_(p1), max_(p1) {}
/// two-point constructor, calculates minimum and maximum points
BoundingBox(const point_type& p1, const point_type& p2, bool compute = true)
: base_type(), min_(p1), max_(p2)
{
if (compute)
for (Int i=0; i<d; ++i) {
min_[i] = std::min(p1[i], p2[i]);
max_[i] = std::max(p1[i], p2[i]);
}
}
/// multiple-point constructor, creates a bounding box encompass multiple points
template <class iterator>
BoundingBox(iterator first, iterator last) : base_type(), min_(*first), max_(*first) {
++first;
for (; first != last; ++first)
this->operator+=(*first);
}
/// returns the measure of the bounding box: the measure is the volume of the box
value_type measure() const {
value_type v = 1;
for (int i=0; i<d; ++i)
v *= (max_[i] - min_[i]);
return v;
}
///
bool operator<(const BoundingBox& bbox) const {
return min_ < bbox.min_ || (!(bbox.min_ < min_) && max_ < bbox.max_);
}
/**
returns whether the two bounding boxes have min points with the same coordinates
and max points with the same coordinates
**/
bool operator==(const BoundingBox& bbox) const
{ return min_ == bbox.min_ && max_ == bbox.max_; }
/**
returns whether the two bounding boxes have min points with different coordinates
or max points with different coordinates
**/
bool operator!=(const BoundingBox& bbox) const
{ return !(*this == bbox); }
/// extend the bounding box, if necessary, in order to encompass this additional point
BoundingBox& operator+=(const point_type& point) {
for (Int i=0; i<d; ++i) {
min_[i] = std::min(min_[i], point[i]);
max_[i] = std::max(max_[i], point[i]);
}
return *this;
}
/// extend the bounding box, if necessary, in order to encompass the entire given boundary box
BoundingBox& operator+=(const BoundingBox& bbox) {
this->operator+=(bbox.min_);
this->operator+=(bbox.max_);
return *this;
}
/// is the point p geometrically inside of the bounding box?
bool operator&(const point_type& p) const {
Real e = 2*std::numeric_limits<Real>::epsilon();
for (Int i=0; i<d; ++i)
if (max_[i] < p[i] - e || p[i] < min_[i] - e)
return false;
return true;
}
/// is the bounding box bb geometrically entirely inside of the bounding box?
bool operator&(const BoundingBox& bb) const {
Real e = 2*std::numeric_limits<Real>::epsilon();
for (Int i=0; i<d; ++i) {
if (max_[i] < bb.min_[i] - e || bb.max_[i] < min_[i] - e)
return false;
}
return true;
}
/// create the intersection bounding box
BoundingBox operator&&(const BoundingBox& bb) const {
BoundingBox intersection;
for (Int i=0; i<d; ++i) {
intersection.min_[i] = std::max(min_[i], bb.min_[i]);
intersection.max_[i] = std::min(max_[i], bb.max_[i]);
}
return intersection;
}
/// get the point of the minimum corner
const point_type& min()
{ return min_; }
/// get the point of the maximum corner
const point_type& max()
{ return max_; }
/// get the point of the minimum corner
point_type min() const
{ return min_; }
/// get the point of the maximum corner
point_type max() const
{ return max_; }
/// get minimum coordinate of the bounding box in direction i
Real min(size_t i) const
{ return min_[i]; }
/// get maximum coordinate of the bounding box in direction i
Real max(size_t i) const
{ return max_[i]; }
virtual std::ostream& print(std::ostream& os) const {
os<<*this;
return os;
}
public:
/// directional increase of bounding box (if needed)
void expand(Real coord, UInt dir) {
AKANTU_DEBUG_ASSERT(dir < d, "");
}
};
/// cumulate two bounding boxes and create one encompassing both
template <int d>
BoundingBox<d> operator+(const BoundingBox<d>& b1, const BoundingBox<d>& b2) {
BoundingBox<d> r(b1);
return r += b2;
}
template <int d>
std::ostream& operator<<(std::ostream&, const BoundingBox<d>&);
__END_AKANTU__
#endif /* __AKANTU_AKA_BOUNDING_BOX_HH__ */
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