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- // This file is part of libigl, a simple c++ geometry processing library.
- //
- // Copyright (C) 2013 Alec Jacobson <alecjacobson@gmail.com>
- //
- // This Source Code Form is subject to the terms of the Mozilla Public License
- // v. 2.0. If a copy of the MPL was not distributed with this file, You can
- // obtain one at http://mozilla.org/MPL/2.0/.
- #include "cat.h"
- #include <cstdio>
- // Bug in unsupported/Eigen/SparseExtra needs iostream first
- #include <iostream>
- #include <unsupported/Eigen/SparseExtra>
- // Sparse matrices need to be handled carefully. Because C++ does not
- // Template:
- // Scalar sparse matrix scalar type, e.g. double
- template <typename Scalar>
- IGL_INLINE void igl::cat(
- const int dim,
- const Eigen::SparseMatrix<Scalar> & A,
- const Eigen::SparseMatrix<Scalar> & B,
- Eigen::SparseMatrix<Scalar> & C)
- {
- assert(dim == 1 || dim == 2);
- using namespace Eigen;
- // Special case if B or A is empty
- if(A.size() == 0)
- {
- C = B;
- return;
- }
- if(B.size() == 0)
- {
- C = A;
- return;
- }
- #if false
- // This **must** be DynamicSparseMatrix, otherwise this implementation is
- // insanely slow
- DynamicSparseMatrix<Scalar, RowMajor> dyn_C;
- if(dim == 1)
- {
- assert(A.cols() == B.cols());
- dyn_C.resize(A.rows()+B.rows(),A.cols());
- }else if(dim == 2)
- {
- assert(A.rows() == B.rows());
- dyn_C.resize(A.rows(),A.cols()+B.cols());
- }else
- {
- fprintf(stderr,"cat.h: Error: Unsupported dimension %d\n",dim);
- }
- dyn_C.reserve(A.nonZeros()+B.nonZeros());
- // Iterate over outside of A
- for(int k=0; k<A.outerSize(); ++k)
- {
- // Iterate over inside
- for(typename SparseMatrix<Scalar>::InnerIterator it (A,k); it; ++it)
- {
- dyn_C.coeffRef(it.row(),it.col()) += it.value();
- }
- }
- // Iterate over outside of B
- for(int k=0; k<B.outerSize(); ++k)
- {
- // Iterate over inside
- for(typename SparseMatrix<Scalar>::InnerIterator it (B,k); it; ++it)
- {
- int r = (dim == 1 ? A.rows()+it.row() : it.row());
- int c = (dim == 2 ? A.cols()+it.col() : it.col());
- dyn_C.coeffRef(r,c) += it.value();
- }
- }
- C = SparseMatrix<Scalar>(dyn_C);
- #elif false
- std::vector<Triplet<Scalar> > CIJV;
- CIJV.reserve(A.nonZeros() + B.nonZeros());
- {
- // Iterate over outside of A
- for(int k=0; k<A.outerSize(); ++k)
- {
- // Iterate over inside
- for(typename SparseMatrix<Scalar>::InnerIterator it (A,k); it; ++it)
- {
- CIJV.emplace_back(it.row(),it.col(),it.value());
- }
- }
- // Iterate over outside of B
- for(int k=0; k<B.outerSize(); ++k)
- {
- // Iterate over inside
- for(typename SparseMatrix<Scalar>::InnerIterator it (B,k); it; ++it)
- {
- int r = (dim == 1 ? A.rows()+it.row() : it.row());
- int c = (dim == 2 ? A.cols()+it.col() : it.col());
- CIJV.emplace_back(r,c,it.value());
- }
- }
- }
- C = SparseMatrix<Scalar>(
- dim == 1 ? A.rows()+B.rows() : A.rows(),
- dim == 1 ? A.cols() : A.cols()+B.cols());
- C.reserve(A.nonZeros() + B.nonZeros());
- C.setFromTriplets(CIJV.begin(),CIJV.end());
- #else
- C = SparseMatrix<Scalar>(
- dim == 1 ? A.rows()+B.rows() : A.rows(),
- dim == 1 ? A.cols() : A.cols()+B.cols());
- Eigen::VectorXi per_col = Eigen::VectorXi::Zero(C.cols());
- if(dim == 1)
- {
- assert(A.outerSize() == B.outerSize());
- for(int k = 0;k<A.outerSize();++k)
- {
- for(typename SparseMatrix<Scalar>::InnerIterator it (A,k); it; ++it)
- {
- per_col(k)++;
- }
- for(typename SparseMatrix<Scalar>::InnerIterator it (B,k); it; ++it)
- {
- per_col(k)++;
- }
- }
- }else
- {
- for(int k = 0;k<A.outerSize();++k)
- {
- for(typename SparseMatrix<Scalar>::InnerIterator it (A,k); it; ++it)
- {
- per_col(k)++;
- }
- }
- for(int k = 0;k<B.outerSize();++k)
- {
- for(typename SparseMatrix<Scalar>::InnerIterator it (B,k); it; ++it)
- {
- per_col(A.cols() + k)++;
- }
- }
- }
- C.reserve(per_col);
- if(dim == 1)
- {
- for(int k = 0;k<A.outerSize();++k)
- {
- for(typename SparseMatrix<Scalar>::InnerIterator it (A,k); it; ++it)
- {
- C.insert(it.row(),k) = it.value();
- }
- for(typename SparseMatrix<Scalar>::InnerIterator it (B,k); it; ++it)
- {
- C.insert(A.rows()+it.row(),k) = it.value();
- }
- }
- }else
- {
- for(int k = 0;k<A.outerSize();++k)
- {
- for(typename SparseMatrix<Scalar>::InnerIterator it (A,k); it; ++it)
- {
- C.insert(it.row(),k) = it.value();
- }
- }
- for(int k = 0;k<B.outerSize();++k)
- {
- for(typename SparseMatrix<Scalar>::InnerIterator it (B,k); it; ++it)
- {
- C.insert(it.row(),A.cols()+k) = it.value();
- }
- }
- }
- C.makeCompressed();
- #endif
- }
- template <typename Derived, class MatC>
- IGL_INLINE void igl::cat(
- const int dim,
- const Eigen::MatrixBase<Derived> & A,
- const Eigen::MatrixBase<Derived> & B,
- MatC & C)
- {
- assert(dim == 1 || dim == 2);
- // Special case if B or A is empty
- if(A.size() == 0)
- {
- C = B;
- return;
- }
- if(B.size() == 0)
- {
- C = A;
- return;
- }
- if(dim == 1)
- {
- assert(A.cols() == B.cols());
- C.resize(A.rows()+B.rows(),A.cols());
- C << A,B;
- }else if(dim == 2)
- {
- assert(A.rows() == B.rows());
- C.resize(A.rows(),A.cols()+B.cols());
- C << A,B;
- }else
- {
- fprintf(stderr,"cat.h: Error: Unsupported dimension %d\n",dim);
- }
- }
- template <class Mat>
- IGL_INLINE Mat igl::cat(const int dim, const Mat & A, const Mat & B)
- {
- assert(dim == 1 || dim == 2);
- Mat C;
- igl::cat(dim,A,B,C);
- return C;
- }
- template <class Mat>
- IGL_INLINE void igl::cat(const std::vector<std::vector< Mat > > & A, Mat & C)
- {
- using namespace std;
- // Start with empty matrix
- C.resize(0,0);
- for(const auto & row_vec : A)
- {
- // Concatenate each row horizontally
- // Start with empty matrix
- Mat row(0,0);
- for(const auto & element : row_vec)
- {
- row = cat(2,row,element);
- }
- // Concatenate rows vertically
- C = cat(1,C,row);
- }
- }
- #ifdef IGL_STATIC_LIBRARY
- // Explicit template instantiation
- // generated by autoexplicit.sh
- template Eigen::Matrix<double, -1, -1, 0, -1, -1> igl::cat<Eigen::Matrix<double, -1, -1, 0, -1, -1> >(int, Eigen::Matrix<double, -1, -1, 0, -1, -1> const&, Eigen::Matrix<double, -1, -1, 0, -1, -1> const&);
- // generated by autoexplicit.sh
- template Eigen::SparseMatrix<double, 0, int> igl::cat<Eigen::SparseMatrix<double, 0, int> >(int, Eigen::SparseMatrix<double, 0, int> const&, Eigen::SparseMatrix<double, 0, int> const&);
- // generated by autoexplicit.sh
- template Eigen::Matrix<int, -1, -1, 0, -1, -1> igl::cat<Eigen::Matrix<int, -1, -1, 0, -1, -1> >(int, Eigen::Matrix<int, -1, -1, 0, -1, -1> const&, Eigen::Matrix<int, -1, -1, 0, -1, -1> const&);
- template void igl::cat<Eigen::Matrix<double, -1, 1, 0, -1, 1>, Eigen::Matrix<double, -1, 1, 0, -1, 1> >(int, Eigen::MatrixBase<Eigen::Matrix<double, -1, 1, 0, -1, 1> > const&, Eigen::MatrixBase<Eigen::Matrix<double, -1, 1, 0, -1, 1> > const&, Eigen::Matrix<double, -1, 1, 0, -1, 1>&);
- template Eigen::Matrix<int, -1, 1, 0, -1, 1> igl::cat<Eigen::Matrix<int, -1, 1, 0, -1, 1> >(int, Eigen::Matrix<int, -1, 1, 0, -1, 1> const&, Eigen::Matrix<int, -1, 1, 0, -1, 1> const&);
- template Eigen::Matrix<double, -1, 1, 0, -1, 1> igl::cat<Eigen::Matrix<double, -1, 1, 0, -1, 1> >(int, Eigen::Matrix<double, -1, 1, 0, -1, 1> const&, Eigen::Matrix<double, -1, 1, 0, -1, 1> const&);
- template void igl::cat<Eigen::Matrix<double, -1, -1, 0, -1, -1>, Eigen::Matrix<double, -1, -1, 0, -1, -1> >(int, Eigen::MatrixBase<Eigen::Matrix<double, -1, -1, 0, -1, -1> > const&, Eigen::MatrixBase<Eigen::Matrix<double, -1, -1, 0, -1, -1> > const&, Eigen::Matrix<double, -1, -1, 0, -1, -1>&);
- template void igl::cat<Eigen::Matrix<int, -1, -1, 0, -1, -1>, Eigen::Matrix<int, -1, -1, 0, -1, -1> >(int, Eigen::MatrixBase<Eigen::Matrix<int, -1, -1, 0, -1, -1> > const&, Eigen::MatrixBase<Eigen::Matrix<int, -1, -1, 0, -1, -1> > const&, Eigen::Matrix<int, -1, -1, 0, -1, -1>&);
- #endif
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