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#ifndef Magnum_MeshTools_RemoveDuplicates_h
#define Magnum_MeshTools_RemoveDuplicates_h
/*
This file is part of Magnum.
Copyright © 2010, 2011, 2012, 2013, 2014, 2015, 2016, 2017, 2018, 2019
Vladimír Vondruš <mosra@centrum.cz>
Permission is hereby granted, free of charge, to any person obtaining a
copy of this software and associated documentation files (the "Software"),
to deal in the Software without restriction, including without limitation
the rights to use, copy, modify, merge, publish, distribute, sublicense,
and/or sell copies of the Software, and to permit persons to whom the
Software is furnished to do so, subject to the following conditions:
The above copyright notice and this permission notice shall be included
in all copies or substantial portions of the Software.
THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR
IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,
FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL
THE AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER
LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING
FROM, OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER
DEALINGS IN THE SOFTWARE.
*/
/** @file
* @brief Function @ref Magnum::MeshTools::removeDuplicatesInPlace(), @ref Magnum::MeshTools::removeDuplicatesIndexedInPlace(), @ref Magnum::MeshTools::removeDuplicates()
*/
#include <limits>
#include <numeric>
#include <unordered_map>
#include <vector>
#include <Corrade/Containers/Array.h>
#include <Corrade/Containers/ArrayViewStl.h>
#include <Corrade/Utility/MurmurHash2.h>
#include "Magnum/Magnum.h"
#include "Magnum/Math/FunctionsBatch.h"
namespace Magnum { namespace MeshTools {
namespace Implementation {
template<std::size_t size> class VectorHash {
public:
std::size_t operator()(const Math::Vector<size, std::size_t>& data) const {
return *reinterpret_cast<const std::size_t*>(Utility::MurmurHash2()(reinterpret_cast<const char*>(&data), sizeof(data)).byteArray());
}
};
}
/**
@brief Remove duplicate floating-point vector data from given array in-place
@param[in,out] data Data array, duplicate items will be cut away with order
preserved
@param[in] epsilon Epsilon value, vertices closer than this distance will be
melt together
@return Size of unique prefix in the cleaned up @p data array and the resulting
index array
@m_since_latest
Removes duplicate data from the array by collapsing them into buckets of size
@p epsilon. First vector in given bucket is used, other ones are thrown away,
no interpolation is done. Note that this function is meant to be used for
floating-point data (or generally with non-zero @p epsilon), for discrete data
the usual sorting method is much more efficient.
If you want to remove duplicate data from an already indexed array, use
@ref removeDuplicatesIndexedInPlace() instead. See also
@ref removeDuplicates(std::vector<Vector>&, typename Vector::Type) for a
variant operating on a STL vector.
*/
template<class Vector> std::pair<Containers::Array<UnsignedInt>, std::size_t> removeDuplicatesInPlace(const Containers::StridedArrayView1D<Vector>& data, typename Vector::Type epsilon = Math::TypeTraits<typename Vector::Type>::epsilon());
/**
@brief Remove duplicate floating-point vector data from a STL vector in-place
@param[in,out] data Data array, duplicate items will be cut away with order
preserved and the size shrunk to just the unique prefix
@param[in] epsilon Epsilon value, vertices closer than this distance will be
melt together
@return Resulting index array
Similar to the above, except that it's operating on a @ref std::vector, which
gets shrunk as a result (instead of the prefix size being returned). This
variant is useful together with @ref combineIndexedArrays() to remove
duplicates in multiple incidental arrays --- first remove duplicates in each
array separately and then combine the resulting index arrays to single index
array, and reorder the data accordingly:
@snippet MagnumMeshTools.cpp removeDuplicates-multiple
*/
template<class Vector> std::vector<UnsignedInt> removeDuplicates(std::vector<Vector>& data, typename Vector::Type epsilon = Math::TypeTraits<typename Vector::Type>::epsilon());
/**
@brief Remove duplicates from indexed floating-point vector data in-place
@param[in,out] indices Index array, which will get remapped to list just
unique vertices
@param[in,out] data Data array, duplicate items will be cut away with order
preserved
@param[in] epsilon Epsilon value, vertices closer than this distance will
be melt together
@return Size of unique prefix in the cleaned up @p data array
@m_since_latest
Compared to @ref removeDuplicatesInPlace() this variant is more suited for data
that is already indexed as it works on the existing index array instead of
allocating a new one.
*/
template<class IndexType, class Vector> std::size_t removeDuplicatesIndexedInPlace(const Containers::StridedArrayView1D<IndexType>& indices, const Containers::StridedArrayView1D<Vector>& data, typename Vector::Type epsilon = Math::TypeTraits<typename Vector::Type>::epsilon()) {
/* Somehow ~IndexType{} doesn't work for < 4byte types, as the result is
int(-1) instead of the type I want */
CORRADE_ASSERT(data.size() <= IndexType(-1), "MeshTools::removeDuplicatesIndexedInPlace(): a" << sizeof(IndexType) << Debug::nospace << "-byte index type is too small for" << data.size() << "vertices", {});
/* Get bounds. When NaNs appear, those will get collapsed together when
you're lucky, or cause the whole data to disappear when you're not -- it
needs a much more specialized handling to be robust. */
std::pair<Vector, Vector> minmax = Math::minmax(data);
/* Make epsilon so large that std::size_t can index all vectors inside the
bounds. */
epsilon = Math::max(epsilon, typename Vector::Type((minmax.second-minmax.first).max()/~std::size_t{}));
/* Table containing original vector index for each discretized vector.
Reserving more buckets than necessary (i.e. as if each vector was
unique). */
std::size_t dataSize = data.size();
std::unordered_map<Math::Vector<Vector::Size, std::size_t>, UnsignedInt, Implementation::VectorHash<Vector::Size>> table(dataSize);
/* Index array that'll be filled in each pass and then used for remapping
the `indices` */
Containers::Array<UnsignedInt> remapping{Containers::NoInit, dataSize};
/* First go with original coordinates, then move them by epsilon/2 in each
direction. */
Vector moved;
for(std::size_t moving = 0; moving <= Vector::Size; ++moving) {
/* Go through all vectors */
for(std::size_t i = 0; i != dataSize; ++i) {
/* Try to insert new vertex into the table */
const Math::Vector<Vector::Size, std::size_t> v{(data[i] + moved - minmax.first)/epsilon};
const auto result = table.emplace(v, table.size());
/* Add the (either new or already existing) index into the array */
remapping[i] = result.first->second;
/* If this is a new combination, copy the data to new (earlier)
position in the array. Data in [table.size()-1, i) are already
present in the [0, table.size()-1) range from previous
iterations so we aren't overwriting anything. */
if(result.second && i != table.size() - 1)
data[table.size() - 1] = data[i];
}
/* Remap the resulting index array */
for(auto& i: indices) i = remapping[i];
/* Finished */
if(moving == Vector::Size) continue;
/* Move vertex coordinates by epsilon/2 in the next direction */
moved = Vector();
moved[moving] = epsilon/2;
/* Next time go only through the unique prefix; clear the table for the
next pass */
dataSize = table.size();
table.clear();
}
CORRADE_INTERNAL_ASSERT(data.size() >= dataSize);
return dataSize;
}
template<class Vector> std::pair<Containers::Array<UnsignedInt>, std::size_t> removeDuplicatesInPlace(const Containers::StridedArrayView1D<Vector>& data, typename Vector::Type epsilon) {
/* A trivial index array that'll be remapped and returned after */
Containers::Array<UnsignedInt> indices{Containers::NoInit, data.size()};
std::iota(indices.begin(), indices.end(), 0);
const std::size_t size = removeDuplicatesIndexedInPlace(Containers::stridedArrayView(indices), data, epsilon);
return {std::move(indices), size};
}
template<class Vector> std::vector<UnsignedInt> removeDuplicates(std::vector<Vector>& data, typename Vector::Type epsilon) {
/* A trivial index array that'll be remapped and returned after */
std::vector<UnsignedInt> indices(data.size());
std::iota(indices.begin(), indices.end(), 0);
const std::size_t size = removeDuplicatesIndexedInPlace(Containers::stridedArrayView(indices), Containers::stridedArrayView(data), epsilon);
data.resize(size);
return indices;
}
}}
#endif