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130 lines
5.6 KiB
130 lines
5.6 KiB
// This file is part of Eigen, a lightweight C++ template library
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// for linear algebra.
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//
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// Copyright (C) 2012 Désiré Nuentsa-Wakam <desire.nuentsa_wakam@inria.fr>
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// Copyright (C) 2012 Gael Guennebaud <gael.guennebaud@inria.fr>
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//
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// This Source Code Form is subject to the terms of the Mozilla
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// Public License v. 2.0. If a copy of the MPL was not distributed
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// with this file, You can obtain one at http://mozilla.org/MPL/2.0/.
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#ifndef SPARSELU_KERNEL_BMOD_H
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#define SPARSELU_KERNEL_BMOD_H
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namespace Eigen {
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namespace internal {
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template <int SegSizeAtCompileTime> struct LU_kernel_bmod
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{
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/** \internal
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* \brief Performs numeric block updates from a given supernode to a single column
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*
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* \param segsize Size of the segment (and blocks ) to use for updates
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* \param[in,out] dense Packed values of the original matrix
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* \param tempv temporary vector to use for updates
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* \param lusup array containing the supernodes
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* \param lda Leading dimension in the supernode
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* \param nrow Number of rows in the rectangular part of the supernode
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* \param lsub compressed row subscripts of supernodes
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* \param lptr pointer to the first column of the current supernode in lsub
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* \param no_zeros Number of nonzeros elements before the diagonal part of the supernode
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*/
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template <typename BlockScalarVector, typename ScalarVector, typename IndexVector>
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static EIGEN_DONT_INLINE void run(const Index segsize, BlockScalarVector& dense, ScalarVector& tempv, ScalarVector& lusup, Index& luptr, const Index lda,
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const Index nrow, IndexVector& lsub, const Index lptr, const Index no_zeros);
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};
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template <int SegSizeAtCompileTime>
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template <typename BlockScalarVector, typename ScalarVector, typename IndexVector>
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EIGEN_DONT_INLINE void LU_kernel_bmod<SegSizeAtCompileTime>::run(const Index segsize, BlockScalarVector& dense, ScalarVector& tempv, ScalarVector& lusup, Index& luptr, const Index lda,
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const Index nrow, IndexVector& lsub, const Index lptr, const Index no_zeros)
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{
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typedef typename ScalarVector::Scalar Scalar;
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// First, copy U[*,j] segment from dense(*) to tempv(*)
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// The result of triangular solve is in tempv[*];
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// The result of matric-vector update is in dense[*]
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Index isub = lptr + no_zeros;
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Index i;
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Index irow;
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for (i = 0; i < ((SegSizeAtCompileTime==Dynamic)?segsize:SegSizeAtCompileTime); i++)
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{
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irow = lsub(isub);
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tempv(i) = dense(irow);
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++isub;
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}
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// Dense triangular solve -- start effective triangle
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luptr += lda * no_zeros + no_zeros;
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// Form Eigen matrix and vector
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Map<Matrix<Scalar,SegSizeAtCompileTime,SegSizeAtCompileTime, ColMajor>, 0, OuterStride<> > A( &(lusup.data()[luptr]), segsize, segsize, OuterStride<>(lda) );
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Map<Matrix<Scalar,SegSizeAtCompileTime,1> > u(tempv.data(), segsize);
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u = A.template triangularView<UnitLower>().solve(u);
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// Dense matrix-vector product y <-- B*x
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luptr += segsize;
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const Index PacketSize = internal::packet_traits<Scalar>::size;
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Index ldl = internal::first_multiple(nrow, PacketSize);
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Map<Matrix<Scalar,Dynamic,SegSizeAtCompileTime, ColMajor>, 0, OuterStride<> > B( &(lusup.data()[luptr]), nrow, segsize, OuterStride<>(lda) );
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Index aligned_offset = internal::first_default_aligned(tempv.data()+segsize, PacketSize);
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Index aligned_with_B_offset = (PacketSize-internal::first_default_aligned(B.data(), PacketSize))%PacketSize;
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Map<Matrix<Scalar,Dynamic,1>, 0, OuterStride<> > l(tempv.data()+segsize+aligned_offset+aligned_with_B_offset, nrow, OuterStride<>(ldl) );
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l.setZero();
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internal::sparselu_gemm<Scalar>(l.rows(), l.cols(), B.cols(), B.data(), B.outerStride(), u.data(), u.outerStride(), l.data(), l.outerStride());
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// Scatter tempv[] into SPA dense[] as a temporary storage
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isub = lptr + no_zeros;
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for (i = 0; i < ((SegSizeAtCompileTime==Dynamic)?segsize:SegSizeAtCompileTime); i++)
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{
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irow = lsub(isub++);
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dense(irow) = tempv(i);
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}
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// Scatter l into SPA dense[]
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for (i = 0; i < nrow; i++)
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{
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irow = lsub(isub++);
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dense(irow) -= l(i);
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}
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}
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template <> struct LU_kernel_bmod<1>
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{
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template <typename BlockScalarVector, typename ScalarVector, typename IndexVector>
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static EIGEN_DONT_INLINE void run(const Index /*segsize*/, BlockScalarVector& dense, ScalarVector& /*tempv*/, ScalarVector& lusup, Index& luptr,
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const Index lda, const Index nrow, IndexVector& lsub, const Index lptr, const Index no_zeros);
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};
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template <typename BlockScalarVector, typename ScalarVector, typename IndexVector>
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EIGEN_DONT_INLINE void LU_kernel_bmod<1>::run(const Index /*segsize*/, BlockScalarVector& dense, ScalarVector& /*tempv*/, ScalarVector& lusup, Index& luptr,
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const Index lda, const Index nrow, IndexVector& lsub, const Index lptr, const Index no_zeros)
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{
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typedef typename ScalarVector::Scalar Scalar;
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typedef typename IndexVector::Scalar StorageIndex;
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Scalar f = dense(lsub(lptr + no_zeros));
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luptr += lda * no_zeros + no_zeros + 1;
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const Scalar* a(lusup.data() + luptr);
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const StorageIndex* irow(lsub.data()+lptr + no_zeros + 1);
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Index i = 0;
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for (; i+1 < nrow; i+=2)
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{
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Index i0 = *(irow++);
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Index i1 = *(irow++);
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Scalar a0 = *(a++);
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Scalar a1 = *(a++);
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Scalar d0 = dense.coeff(i0);
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Scalar d1 = dense.coeff(i1);
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d0 -= f*a0;
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d1 -= f*a1;
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dense.coeffRef(i0) = d0;
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dense.coeffRef(i1) = d1;
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}
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if(i<nrow)
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dense.coeffRef(*(irow++)) -= f * *(a++);
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}
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} // end namespace internal
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} // end namespace Eigen
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#endif // SPARSELU_KERNEL_BMOD_H
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