1 | // This file is part of Eigen, a lightweight C++ template library
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2 | // for linear algebra.
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3 | //
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4 | // Copyright (C) 2012 Désiré Nuentsa-Wakam <desire.nuentsa_wakam@inria.fr>
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5 | // Copyright (C) 2012 Gael Guennebaud <gael.guennebaud@inria.fr>
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6 | //
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7 | // This Source Code Form is subject to the terms of the Mozilla
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8 | // Public License v. 2.0. If a copy of the MPL was not distributed
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9 | // with this file, You can obtain one at http://mozilla.org/MPL/2.0/.
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10 |
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11 | #ifndef SPARSELU_KERNEL_BMOD_H
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12 | #define SPARSELU_KERNEL_BMOD_H
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13 |
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14 | namespace Eigen {
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15 | namespace internal {
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16 |
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17 | /**
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18 | * \brief Performs numeric block updates from a given supernode to a single column
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19 | *
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20 | * \param segsize Size of the segment (and blocks ) to use for updates
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21 | * \param[in,out] dense Packed values of the original matrix
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22 | * \param tempv temporary vector to use for updates
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23 | * \param lusup array containing the supernodes
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24 | * \param lda Leading dimension in the supernode
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25 | * \param nrow Number of rows in the rectangular part of the supernode
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26 | * \param lsub compressed row subscripts of supernodes
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27 | * \param lptr pointer to the first column of the current supernode in lsub
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28 | * \param no_zeros Number of nonzeros elements before the diagonal part of the supernode
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29 | * \return 0 on success
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30 | */
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31 | template <int SegSizeAtCompileTime> struct LU_kernel_bmod
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32 | {
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33 | template <typename BlockScalarVector, typename ScalarVector, typename IndexVector, typename Index>
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34 | static EIGEN_DONT_INLINE void run(const int segsize, BlockScalarVector& dense, ScalarVector& tempv, ScalarVector& lusup, Index& luptr, const Index lda,
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35 | const Index nrow, IndexVector& lsub, const Index lptr, const Index no_zeros);
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36 | };
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37 |
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38 | template <int SegSizeAtCompileTime>
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39 | template <typename BlockScalarVector, typename ScalarVector, typename IndexVector, typename Index>
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40 | EIGEN_DONT_INLINE void LU_kernel_bmod<SegSizeAtCompileTime>::run(const int segsize, BlockScalarVector& dense, ScalarVector& tempv, ScalarVector& lusup, Index& luptr, const Index lda,
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41 | const Index nrow, IndexVector& lsub, const Index lptr, const Index no_zeros)
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42 | {
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43 | typedef typename ScalarVector::Scalar Scalar;
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44 | // First, copy U[*,j] segment from dense(*) to tempv(*)
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45 | // The result of triangular solve is in tempv[*];
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46 | // The result of matric-vector update is in dense[*]
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47 | Index isub = lptr + no_zeros;
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48 | int i;
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49 | Index irow;
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50 | for (i = 0; i < ((SegSizeAtCompileTime==Dynamic)?segsize:SegSizeAtCompileTime); i++)
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51 | {
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52 | irow = lsub(isub);
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53 | tempv(i) = dense(irow);
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54 | ++isub;
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55 | }
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56 | // Dense triangular solve -- start effective triangle
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57 | luptr += lda * no_zeros + no_zeros;
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58 | // Form Eigen matrix and vector
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59 | Map<Matrix<Scalar,SegSizeAtCompileTime,SegSizeAtCompileTime, ColMajor>, 0, OuterStride<> > A( &(lusup.data()[luptr]), segsize, segsize, OuterStride<>(lda) );
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60 | Map<Matrix<Scalar,SegSizeAtCompileTime,1> > u(tempv.data(), segsize);
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61 |
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62 | u = A.template triangularView<UnitLower>().solve(u);
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63 |
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64 | // Dense matrix-vector product y <-- B*x
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65 | luptr += segsize;
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66 | const Index PacketSize = internal::packet_traits<Scalar>::size;
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67 | Index ldl = internal::first_multiple(nrow, PacketSize);
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68 | Map<Matrix<Scalar,Dynamic,SegSizeAtCompileTime, ColMajor>, 0, OuterStride<> > B( &(lusup.data()[luptr]), nrow, segsize, OuterStride<>(lda) );
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69 | Index aligned_offset = internal::first_aligned(tempv.data()+segsize, PacketSize);
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70 | Index aligned_with_B_offset = (PacketSize-internal::first_aligned(B.data(), PacketSize))%PacketSize;
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71 | Map<Matrix<Scalar,Dynamic,1>, 0, OuterStride<> > l(tempv.data()+segsize+aligned_offset+aligned_with_B_offset, nrow, OuterStride<>(ldl) );
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72 |
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73 | l.setZero();
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74 | 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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75 |
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76 | // Scatter tempv[] into SPA dense[] as a temporary storage
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77 | isub = lptr + no_zeros;
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78 | for (i = 0; i < ((SegSizeAtCompileTime==Dynamic)?segsize:SegSizeAtCompileTime); i++)
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79 | {
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80 | irow = lsub(isub++);
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81 | dense(irow) = tempv(i);
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82 | }
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83 |
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84 | // Scatter l into SPA dense[]
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85 | for (i = 0; i < nrow; i++)
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86 | {
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87 | irow = lsub(isub++);
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88 | dense(irow) -= l(i);
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89 | }
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90 | }
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91 |
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92 | template <> struct LU_kernel_bmod<1>
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93 | {
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94 | template <typename BlockScalarVector, typename ScalarVector, typename IndexVector, typename Index>
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95 | static EIGEN_DONT_INLINE void run(const int /*segsize*/, BlockScalarVector& dense, ScalarVector& /*tempv*/, ScalarVector& lusup, Index& luptr,
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96 | const Index lda, const Index nrow, IndexVector& lsub, const Index lptr, const Index no_zeros);
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97 | };
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98 |
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99 |
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100 | template <typename BlockScalarVector, typename ScalarVector, typename IndexVector, typename Index>
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101 | EIGEN_DONT_INLINE void LU_kernel_bmod<1>::run(const int /*segsize*/, BlockScalarVector& dense, ScalarVector& /*tempv*/, ScalarVector& lusup, Index& luptr,
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102 | const Index lda, const Index nrow, IndexVector& lsub, const Index lptr, const Index no_zeros)
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103 | {
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104 | typedef typename ScalarVector::Scalar Scalar;
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105 | Scalar f = dense(lsub(lptr + no_zeros));
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106 | luptr += lda * no_zeros + no_zeros + 1;
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107 | const Scalar* a(lusup.data() + luptr);
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108 | const /*typename IndexVector::Scalar*/Index* irow(lsub.data()+lptr + no_zeros + 1);
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109 | Index i = 0;
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110 | for (; i+1 < nrow; i+=2)
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111 | {
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112 | Index i0 = *(irow++);
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113 | Index i1 = *(irow++);
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114 | Scalar a0 = *(a++);
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115 | Scalar a1 = *(a++);
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116 | Scalar d0 = dense.coeff(i0);
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117 | Scalar d1 = dense.coeff(i1);
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118 | d0 -= f*a0;
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119 | d1 -= f*a1;
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120 | dense.coeffRef(i0) = d0;
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121 | dense.coeffRef(i1) = d1;
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122 | }
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123 | if(i<nrow)
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124 | dense.coeffRef(*(irow++)) -= f * *(a++);
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125 | }
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126 |
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127 | } // end namespace internal
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128 |
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129 | } // end namespace Eigen
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130 | #endif // SPARSELU_KERNEL_BMOD_H
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