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130 lines
4.0 KiB
130 lines
4.0 KiB
// This file is part of libigl, a simple c++ geometry processing library.
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//
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// Copyright (C) 2017 Daniele Panozzo <daniele.panozzo@gmail.com>
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//
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// This Source Code Form is subject to the terms of the Mozilla Public License
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// v. 2.0. If a copy of the MPL was not distributed with this file, You can
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// obtain one at http://mozilla.org/MPL/2.0/.
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#include "AtA_cached.h"
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#include <iostream>
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#include <vector>
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#include <utility>
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template <typename Scalar>
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IGL_INLINE void igl::AtA_cached_precompute(
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const Eigen::SparseMatrix<Scalar>& A,
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igl::AtA_cached_data& data,
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Eigen::SparseMatrix<Scalar>& AtA)
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{
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// 1 Compute At (this could be avoided, but performance-wise it will not make a difference)
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std::vector<std::vector<int> > Col_RowPtr;
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std::vector<std::vector<int> > Col_IndexPtr;
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Col_RowPtr.resize(A.cols());
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Col_IndexPtr.resize(A.cols());
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for (unsigned k=0; k<A.outerSize(); ++k)
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{
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unsigned outer_index = *(A.outerIndexPtr()+k);
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unsigned next_outer_index = (k+1 == A.outerSize()) ? A.nonZeros() : *(A.outerIndexPtr()+k+1);
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for (unsigned l=outer_index; l<next_outer_index; ++l)
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{
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int col = k;
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int row = *(A.innerIndexPtr()+l);
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int value_index = l;
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assert(col < A.cols());
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assert(col >= 0);
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assert(row < A.rows());
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assert(row >= 0);
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assert(value_index >= 0);
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assert(value_index < A.nonZeros());
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Col_RowPtr[col].push_back(row);
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Col_IndexPtr[col].push_back(value_index);
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}
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}
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Eigen::SparseMatrix<Scalar> At = A.transpose();
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At.makeCompressed();
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AtA = At * A;
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AtA.makeCompressed();
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assert(AtA.isCompressed());
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// If weights are not provided, use 1
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if (data.W.size() == 0)
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data.W = Eigen::VectorXd::Ones(A.rows());
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assert(data.W.size() == A.rows());
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data.I_outer.reserve(AtA.outerSize());
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data.I_row.reserve(2*AtA.nonZeros());
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data.I_col.reserve(2*AtA.nonZeros());
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data.I_w.reserve(2*AtA.nonZeros());
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// 2 Construct the rules
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for (unsigned k=0; k<AtA.outerSize(); ++k)
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{
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unsigned outer_index = *(AtA.outerIndexPtr()+k);
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unsigned next_outer_index = (k+1 == AtA.outerSize()) ? AtA.nonZeros() : *(AtA.outerIndexPtr()+k+1);
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for (unsigned l=outer_index; l<next_outer_index; ++l)
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{
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int col = k;
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int row = *(AtA.innerIndexPtr()+l);
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int value_index = l;
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assert(col < AtA.cols());
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assert(col >= 0);
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assert(row < AtA.rows());
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assert(row >= 0);
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assert(value_index >= 0);
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assert(value_index < AtA.nonZeros());
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data.I_outer.push_back(data.I_row.size());
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// Find correspondences
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unsigned i=0;
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unsigned j=0;
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while (i<Col_RowPtr[row].size() && j<Col_RowPtr[col].size())
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{
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if (Col_RowPtr[row][i] == Col_RowPtr[col][j])
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{
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data.I_row.push_back(Col_IndexPtr[row][i]);
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data.I_col.push_back(Col_IndexPtr[col][j]);
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data.I_w.push_back(Col_RowPtr[col][j]);
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++i;
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++j;
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} else
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if (Col_RowPtr[row][i] > Col_RowPtr[col][j])
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++j;
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else
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++i;
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}
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}
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}
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data.I_outer.push_back(data.I_row.size()); // makes it more efficient to iterate later on
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igl::AtA_cached(A,data,AtA);
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}
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template <typename Scalar>
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IGL_INLINE void igl::AtA_cached(
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const Eigen::SparseMatrix<Scalar>& A,
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const igl::AtA_cached_data& data,
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Eigen::SparseMatrix<Scalar>& AtA)
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{
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for (unsigned i=0; i<data.I_outer.size()-1; ++i)
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{
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*(AtA.valuePtr() + i) = 0;
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for (unsigned j=data.I_outer[i]; j<data.I_outer[i+1]; ++j)
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*(AtA.valuePtr() + i) += *(A.valuePtr() + data.I_row[j]) * data.W[data.I_w[j]] * *(A.valuePtr() + data.I_col[j]);
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}
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}
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#ifdef IGL_STATIC_LIBRARY
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template void igl::AtA_cached<double>(Eigen::SparseMatrix<double, 0, int> const&, igl::AtA_cached_data const&, Eigen::SparseMatrix<double, 0, int>&);
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template void igl::AtA_cached_precompute<double>(Eigen::SparseMatrix<double, 0, int> const&, igl::AtA_cached_data&, Eigen::SparseMatrix<double, 0, int>&);
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#endif
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