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< a href = "markowitz_8cc.html" > Go to the documentation of this file.< / a > < div class = "fragment" > < div class = "line" > < a name = "l00001" > < / a > < span class = "lineno" > 1< / span >   < span class = "comment" > // Copyright 2010-2021 Google LLC< / span > < / div >
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< div class = "line" > < a name = "l00002" > < / a > < span class = "lineno" > 2< / span >   < span class = "comment" > // Licensed under the Apache License, Version 2.0 (the " License" );< / span > < / div >
< div class = "line" > < a name = "l00003" > < / a > < span class = "lineno" > 3< / span >   < span class = "comment" > // you may not use this file except in compliance with the License.< / span > < / div >
< div class = "line" > < a name = "l00004" > < / a > < span class = "lineno" > 4< / span >   < span class = "comment" > // You may obtain a copy of the License at< / span > < / div >
< div class = "line" > < a name = "l00005" > < / a > < span class = "lineno" > 5< / span >   < span class = "comment" > //< / span > < / div >
< div class = "line" > < a name = "l00006" > < / a > < span class = "lineno" > 6< / span >   < span class = "comment" > // http://www.apache.org/licenses/LICENSE-2.0< / span > < / div >
< div class = "line" > < a name = "l00007" > < / a > < span class = "lineno" > 7< / span >   < span class = "comment" > //< / span > < / div >
< div class = "line" > < a name = "l00008" > < / a > < span class = "lineno" > 8< / span >   < span class = "comment" > // Unless required by applicable law or agreed to in writing, software< / span > < / div >
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< div class = "line" > < a name = "l00010" > < / a > < span class = "lineno" > 10< / span >   < span class = "comment" > // WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.< / span > < / div >
< div class = "line" > < a name = "l00011" > < / a > < span class = "lineno" > 11< / span >   < span class = "comment" > // See the License for the specific language governing permissions and< / span > < / div >
< div class = "line" > < a name = "l00012" > < / a > < span class = "lineno" > 12< / span >   < span class = "comment" > // limitations under the License.< / span > < / div >
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< div class = "line" > < a name = "l00014" > < / a > < span class = "lineno" > 14< / span >   < span class = "preprocessor" > #include " < a class = "code" href = "markowitz_8h.html" > ortools/glop/markowitz.h< / a > " < / span > < / div >
< div class = "line" > < a name = "l00015" > < / a > < span class = "lineno" > 15< / span >   < / div >
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< div class = "line" > < a name = "l00016" > < / a > < span class = "lineno" > 16< / span >   < span class = "preprocessor" > #include < cstdint> < / span > < / div >
< div class = "line" > < a name = "l00017" > < / a > < span class = "lineno" > 17< / span >   < span class = "preprocessor" > #include < limits> < / span > < / div >
< div class = "line" > < a name = "l00018" > < / a > < span class = "lineno" > 18< / span >   < / div >
< div class = "line" > < a name = "l00019" > < / a > < span class = "lineno" > 19< / span >   < span class = "preprocessor" > #include " absl/strings/str_format.h" < / span > < / div >
< div class = "line" > < a name = "l00020" > < / a > < span class = "lineno" > 20< / span >   < span class = "preprocessor" > #include " < a class = "code" href = "lp__types_8h.html" > ortools/lp_data/lp_types.h< / a > " < / span > < / div >
< div class = "line" > < a name = "l00021" > < / a > < span class = "lineno" > 21< / span >   < span class = "preprocessor" > #include " < a class = "code" href = "lp__data_2lp__utils_8h.html" > ortools/lp_data/lp_utils.h< / a > " < / span > < / div >
< div class = "line" > < a name = "l00022" > < / a > < span class = "lineno" > 22< / span >   < span class = "preprocessor" > #include " < a class = "code" href = "sparse_8h.html" > ortools/lp_data/sparse.h< / a > " < / span > < / div >
< div class = "line" > < a name = "l00023" > < / a > < span class = "lineno" > 23< / span >   < / div >
< div class = "line" > < a name = "l00024" > < / a > < span class = "lineno" > 24< / span >   < span class = "keyword" > namespace < / span > < a class = "code" href = "namespaceoperations__research.html" > operations_research< / a > {< / div >
< div class = "line" > < a name = "l00025" > < / a > < span class = "lineno" > 25< / span >   < span class = "keyword" > namespace < / span > glop {< / div >
< div class = "line" > < a name = "l00026" > < / a > < span class = "lineno" > 26< / span >   < / div >
< div class = "line" > < a name = "l00027" > < / a > < span class = "lineno" > < a class = "line" href = "classoperations__research_1_1glop_1_1_markowitz.html#afd3f022e573b8f4f0901624a813ade07" > 27< / a > < / span >   < a class = "code" href = "classoperations__research_1_1glop_1_1_status.html" > Status< / a > < a class = "code" href = "classoperations__research_1_1glop_1_1_markowitz.html#afd3f022e573b8f4f0901624a813ade07" > Markowitz::ComputeRowAndColumnPermutation< / a > (< / div >
< div class = "line" > < a name = "l00028" > < / a > < span class = "lineno" > 28< / span >   < span class = "keyword" > const< / span > < a class = "code" href = "classoperations__research_1_1glop_1_1_compact_sparse_matrix_view.html" > CompactSparseMatrixView< / a > & basis_matrix, < a class = "code" href = "classoperations__research_1_1glop_1_1_permutation.html" > RowPermutation< / a > * row_perm,< / div >
< div class = "line" > < a name = "l00029" > < / a > < span class = "lineno" > 29< / span >   < a class = "code" href = "classoperations__research_1_1glop_1_1_permutation.html" > ColumnPermutation< / a > * col_perm) {< / div >
< div class = "line" > < a name = "l00030" > < / a > < span class = "lineno" > 30< / span >   < a class = "code" href = "stats_8h.html#a9995704aaaf45fc21e08c847551a8d04" > SCOPED_TIME_STAT< / a > (& stats_);< / div >
< div class = "line" > < a name = "l00031" > < / a > < span class = "lineno" > 31< / span >   < a class = "code" href = "classoperations__research_1_1glop_1_1_markowitz.html#aa71d36872f416feaa853788a7a7a7ef8" > Clear< / a > ();< / div >
< div class = "line" > < a name = "l00032" > < / a > < span class = "lineno" > 32< / span >   < span class = "keyword" > const< / span > RowIndex num_rows = basis_matrix.< a class = "code" href = "classoperations__research_1_1glop_1_1_compact_sparse_matrix_view.html#a960110e64357a3e69162ebf1f71959dd" > num_rows< / a > ();< / div >
< div class = "line" > < a name = "l00033" > < / a > < span class = "lineno" > 33< / span >   < span class = "keyword" > const< / span > ColIndex num_cols = basis_matrix.< a class = "code" href = "classoperations__research_1_1glop_1_1_compact_sparse_matrix_view.html#a41741829541d089f1c4d34f190884813" > num_cols< / a > ();< / div >
< div class = "line" > < a name = "l00034" > < / a > < span class = "lineno" > 34< / span >   col_perm-> < a class = "code" href = "classoperations__research_1_1glop_1_1_permutation.html#acb8f594fc0399176a6201d6c66eb0419" > assign< / a > (num_cols, < a class = "code" href = "namespaceoperations__research_1_1glop.html#afb755b7934d8679476e2f05a89739bcd" > kInvalidCol< / a > );< / div >
< div class = "line" > < a name = "l00035" > < / a > < span class = "lineno" > 35< / span >   row_perm-> < a class = "code" href = "classoperations__research_1_1glop_1_1_permutation.html#acb8f594fc0399176a6201d6c66eb0419" > assign< / a > (num_rows, < a class = "code" href = "namespaceoperations__research_1_1glop.html#a31ee82f6ef05c3da492c0376f910d015" > kInvalidRow< / a > );< / div >
< div class = "line" > < a name = "l00036" > < / a > < span class = "lineno" > 36< / span >   < / div >
< div class = "line" > < a name = "l00037" > < / a > < span class = "lineno" > 37< / span >   < span class = "comment" > // Get the empty matrix corner case out of the way.< / span > < / div >
< div class = "line" > < a name = "l00038" > < / a > < span class = "lineno" > 38< / span >   < span class = "keywordflow" > if< / span > (basis_matrix.< a class = "code" href = "classoperations__research_1_1glop_1_1_compact_sparse_matrix_view.html#a8e12342fc420701fbffd97025421575a" > IsEmpty< / a > ()) < span class = "keywordflow" > return< / span > < a class = "code" href = "classoperations__research_1_1glop_1_1_status.html#a071b1d04197c0ac6e7a4d0ec0b91ff43" > Status::OK< / a > ();< / div >
< div class = "line" > < a name = "l00039" > < / a > < span class = "lineno" > 39< / span >   basis_matrix_ = & basis_matrix;< / div >
< div class = "line" > < a name = "l00040" > < / a > < span class = "lineno" > 40< / span >   < / div >
< div class = "line" > < a name = "l00041" > < / a > < span class = "lineno" > 41< / span >   < span class = "comment" > // Initialize all the matrices.< / span > < / div >
< div class = "line" > < a name = "l00042" > < / a > < span class = "lineno" > 42< / span >   lower_.< a class = "code" href = "classoperations__research_1_1glop_1_1_triangular_matrix.html#aeebcdc829c541f3ca21a15784f02fe9c" > Reset< / a > (num_rows, num_cols);< / div >
< div class = "line" > < a name = "l00043" > < / a > < span class = "lineno" > 43< / span >   upper_.< a class = "code" href = "classoperations__research_1_1glop_1_1_triangular_matrix.html#aeebcdc829c541f3ca21a15784f02fe9c" > Reset< / a > (num_rows, num_cols);< / div >
< div class = "line" > < a name = "l00044" > < / a > < span class = "lineno" > 44< / span >   permuted_lower_.< a class = "code" href = "classoperations__research_1_1glop_1_1_sparse_matrix_with_reusable_column_memory.html#a1eb060a55278923620fda32549d18ae7" > Reset< / a > (num_cols);< / div >
< div class = "line" > < a name = "l00045" > < / a > < span class = "lineno" > 45< / span >   permuted_upper_.< a class = "code" href = "classoperations__research_1_1glop_1_1_sparse_matrix_with_reusable_column_memory.html#a1eb060a55278923620fda32549d18ae7" > Reset< / a > (num_cols);< / div >
< div class = "line" > < a name = "l00046" > < / a > < span class = "lineno" > 46< / span >   permuted_lower_column_needs_solve_.< a class = "code" href = "classoperations__research_1_1glop_1_1_strict_i_t_i_vector.html#af8d7048738ceb4c753b040e6d29db79c" > assign< / a > (num_cols, < span class = "keyword" > false< / span > );< / div >
< div class = "line" > < a name = "l00047" > < / a > < span class = "lineno" > 47< / span >   contains_only_singleton_columns_ = < span class = "keyword" > true< / span > ;< / div >
< div class = "line" > < a name = "l00048" > < / a > < span class = "lineno" > 48< / span >   < / div >
< div class = "line" > < a name = "l00049" > < / a > < span class = "lineno" > 49< / span >   < span class = "comment" > // Start by moving the singleton columns to the front and by putting their< / span > < / div >
< div class = "line" > < a name = "l00050" > < / a > < span class = "lineno" > 50< / span >   < span class = "comment" > // non-zero coefficient on the diagonal. The general algorithm below would< / span > < / div >
< div class = "line" > < a name = "l00051" > < / a > < span class = "lineno" > 51< / span >   < span class = "comment" > // have the same effect, but this function is a lot faster.< / span > < / div >
< div class = "line" > < a name = "l00052" > < / a > < span class = "lineno" > 52< / span >   < span class = "keywordtype" > int< / span > < a class = "code" href = "pack_8cc.html#a750b5d744c39a06bfb13e6eb010e35d0" > index< / a > = 0;< / div >
< div class = "line" > < a name = "l00053" > < / a > < span class = "lineno" > 53< / span >   ExtractSingletonColumns(basis_matrix, row_perm, col_perm, & < a class = "code" href = "pack_8cc.html#a750b5d744c39a06bfb13e6eb010e35d0" > index< / a > );< / div >
< div class = "line" > < a name = "l00054" > < / a > < span class = "lineno" > 54< / span >   ExtractResidualSingletonColumns(basis_matrix, row_perm, col_perm, & < a class = "code" href = "pack_8cc.html#a750b5d744c39a06bfb13e6eb010e35d0" > index< / a > );< / div >
< div class = "line" > < a name = "l00055" > < / a > < span class = "lineno" > 55< / span >   < span class = "keywordtype" > int< / span > stats_num_pivots_without_fill_in = < a class = "code" href = "pack_8cc.html#a750b5d744c39a06bfb13e6eb010e35d0" > index< / a > ;< / div >
< div class = "line" > < a name = "l00056" > < / a > < span class = "lineno" > 56< / span >   < span class = "keywordtype" > int< / span > stats_degree_two_pivot_columns = 0;< / div >
< div class = "line" > < a name = "l00057" > < / a > < span class = "lineno" > 57< / span >   < / div >
< div class = "line" > < a name = "l00058" > < / a > < span class = "lineno" > 58< / span >   < span class = "comment" > // Initialize residual_matrix_non_zero_ with the submatrix left after we< / span > < / div >
< div class = "line" > < a name = "l00059" > < / a > < span class = "lineno" > 59< / span >   < span class = "comment" > // removed the singleton and residual singleton columns.< / span > < / div >
< div class = "line" > < a name = "l00060" > < / a > < span class = "lineno" > 60< / span >   residual_matrix_non_zero_.< a class = "code" href = "classoperations__research_1_1glop_1_1_matrix_non_zero_pattern.html#af6141c80a5d2f56d86f149c822065cc5" > InitializeFromMatrixSubset< / a > (< / div >
< div class = "line" > < a name = "l00061" > < / a > < span class = "lineno" > 61< / span >   basis_matrix, *row_perm, *col_perm, & singleton_column_, & singleton_row_);< / div >
< div class = "line" > < a name = "l00062" > < / a > < span class = "lineno" > 62< / span >   < / div >
< div class = "line" > < a name = "l00063" > < / a > < span class = "lineno" > 63< / span >   < span class = "comment" > // Perform Gaussian elimination.< / span > < / div >
< div class = "line" > < a name = "l00064" > < / a > < span class = "lineno" > 64< / span >   < span class = "keyword" > const< / span > < span class = "keywordtype" > int< / span > end_index = < a class = "code" href = "alldiff__cst_8cc.html#ad10edae0a852d72fb76afb1c77735045" > std::min< / a > (num_rows.value(), num_cols.value());< / div >
< div class = "line" > < a name = "l00065" > < / a > < span class = "lineno" > 65< / span >   < span class = "keyword" > const< / span > < a class = "code" href = "namespaceoperations__research_1_1glop.html#a733947145e3e1631165b618b05c9ccb7" > Fractional< / a > singularity_threshold =< / div >
< div class = "line" > < a name = "l00066" > < / a > < span class = "lineno" > 66< / span >   parameters_.markowitz_singularity_threshold();< / div >
< div class = "line" > < a name = "l00067" > < / a > < span class = "lineno" > 67< / span >   < span class = "keywordflow" > while< / span > (< a class = "code" href = "pack_8cc.html#a750b5d744c39a06bfb13e6eb010e35d0" > index< / a > < end_index) {< / div >
< div class = "line" > < a name = "l00068" > < / a > < span class = "lineno" > 68< / span >   < a class = "code" href = "namespaceoperations__research_1_1glop.html#a733947145e3e1631165b618b05c9ccb7" > Fractional< / a > pivot_coefficient = 0.0;< / div >
< div class = "line" > < a name = "l00069" > < / a > < span class = "lineno" > 69< / span >   RowIndex pivot_row = < a class = "code" href = "namespaceoperations__research_1_1glop.html#a31ee82f6ef05c3da492c0376f910d015" > kInvalidRow< / a > ;< / div >
< div class = "line" > < a name = "l00070" > < / a > < span class = "lineno" > 70< / span >   ColIndex pivot_col = < a class = "code" href = "namespaceoperations__research_1_1glop.html#afb755b7934d8679476e2f05a89739bcd" > kInvalidCol< / a > ;< / div >
< div class = "line" > < a name = "l00071" > < / a > < span class = "lineno" > 71< / span >   < / div >
< div class = "line" > < a name = "l00072" > < / a > < span class = "lineno" > 72< / span >   < span class = "comment" > // TODO(user): If we don' t need L and U, we can abort when the residual< / span > < / div >
< div class = "line" > < a name = "l00073" > < / a > < span class = "lineno" > 73< / span >   < span class = "comment" > // matrix becomes dense (i.e. when its density factor is above a certain< / span > < / div >
< div class = "line" > < a name = "l00074" > < / a > < span class = "lineno" > 74< / span >   < span class = "comment" > // threshold). The residual size is ' end_index - index' and the< / span > < / div >
< div class = "line" > < a name = "l00075" > < / a > < span class = "lineno" > 75< / span >   < span class = "comment" > // density can either be computed exactly or estimated from min_markowitz.< / span > < / div >
< div class = "line" > < a name = "l00076" > < / a > < span class = "lineno" > 76< / span >   < span class = "keyword" > const< / span > int64_t min_markowitz = FindPivot(*row_perm, *col_perm, & pivot_row,< / div >
< div class = "line" > < a name = "l00077" > < / a > < span class = "lineno" > 77< / span >   & pivot_col, & pivot_coefficient);< / div >
< div class = "line" > < a name = "l00078" > < / a > < span class = "lineno" > 78< / span >   < / div >
< div class = "line" > < a name = "l00079" > < / a > < span class = "lineno" > 79< / span >   < span class = "comment" > // Singular matrix? No pivot will be selected if a column has no entries. If< / span > < / div >
< div class = "line" > < a name = "l00080" > < / a > < span class = "lineno" > 80< / span >   < span class = "comment" > // a column has some entries, then we are sure that a pivot will be selected< / span > < / div >
< div class = "line" > < a name = "l00081" > < / a > < span class = "lineno" > 81< / span >   < span class = "comment" > // but its magnitude can be really close to zero. In both cases, we< / span > < / div >
< div class = "line" > < a name = "l00082" > < / a > < span class = "lineno" > 82< / span >   < span class = "comment" > // report the singularity of the matrix.< / span > < / div >
< div class = "line" > < a name = "l00083" > < / a > < span class = "lineno" > 83< / span >   < span class = "keywordflow" > if< / span > (pivot_row == < a class = "code" href = "namespaceoperations__research_1_1glop.html#a31ee82f6ef05c3da492c0376f910d015" > kInvalidRow< / a > || pivot_col == < a class = "code" href = "namespaceoperations__research_1_1glop.html#afb755b7934d8679476e2f05a89739bcd" > kInvalidCol< / a > ||< / div >
< div class = "line" > < a name = "l00084" > < / a > < span class = "lineno" > 84< / span >   std::abs(pivot_coefficient) < = singularity_threshold) {< / div >
< div class = "line" > < a name = "l00085" > < / a > < span class = "lineno" > 85< / span >   < span class = "keyword" > const< / span > std::string error_message = absl::StrFormat(< / div >
< div class = "line" > < a name = "l00086" > < / a > < span class = "lineno" > 86< / span >   < span class = "stringliteral" > " The matrix is singular! pivot = %E" < / span > , pivot_coefficient);< / div >
< div class = "line" > < a name = "l00087" > < / a > < span class = "lineno" > 87< / span >   < a class = "code" href = "base_2logging_8h.html#afcaa7cadd41741bb855c2ada1d2ef927" > VLOG< / a > (1) < < < span class = "stringliteral" > " ERROR_LU: " < / span > < < error_message;< / div >
< div class = "line" > < a name = "l00088" > < / a > < span class = "lineno" > 88< / span >   < span class = "keywordflow" > return< / span > < a class = "code" href = "classoperations__research_1_1glop_1_1_status.html" > Status< / a > (< a class = "code" href = "classoperations__research_1_1glop_1_1_status.html#a59e56af19e754a6aa26a612ebf91d05fafa2ff9c081445bfbfbda10bc41b76a87" > Status::ERROR_LU< / a > , error_message);< / div >
< div class = "line" > < a name = "l00089" > < / a > < span class = "lineno" > 89< / span >   }< / div >
< div class = "line" > < a name = "l00090" > < / a > < span class = "lineno" > 90< / span >   < a class = "code" href = "base_2logging_8h.html#ae89df3243bbb8341130c7b3f44145ea0" > DCHECK_EQ< / a > ((*row_perm)[pivot_row], < a class = "code" href = "namespaceoperations__research_1_1glop.html#a31ee82f6ef05c3da492c0376f910d015" > kInvalidRow< / a > );< / div >
< div class = "line" > < a name = "l00091" > < / a > < span class = "lineno" > 91< / span >   < a class = "code" href = "base_2logging_8h.html#ae89df3243bbb8341130c7b3f44145ea0" > DCHECK_EQ< / a > ((*col_perm)[pivot_col], < a class = "code" href = "namespaceoperations__research_1_1glop.html#afb755b7934d8679476e2f05a89739bcd" > kInvalidCol< / a > );< / div >
< div class = "line" > < a name = "l00092" > < / a > < span class = "lineno" > 92< / span >   < / div >
< div class = "line" > < a name = "l00093" > < / a > < span class = "lineno" > 93< / span >   < span class = "comment" > // Update residual_matrix_non_zero_.< / span > < / div >
< div class = "line" > < a name = "l00094" > < / a > < span class = "lineno" > 94< / span >   < span class = "comment" > // TODO(user): This step can be skipped, once a fully dense matrix is< / span > < / div >
< div class = "line" > < a name = "l00095" > < / a > < span class = "lineno" > 95< / span >   < span class = "comment" > // obtained. But note that permuted_lower_column_needs_solve_ needs to be< / span > < / div >
< div class = "line" > < a name = "l00096" > < / a > < span class = "lineno" > 96< / span >   < span class = "comment" > // updated.< / span > < / div >
< div class = "line" > < a name = "l00097" > < / a > < span class = "lineno" > 97< / span >   < span class = "keyword" > const< / span > < span class = "keywordtype" > int< / span > pivot_col_degree = residual_matrix_non_zero_.< a class = "code" href = "classoperations__research_1_1glop_1_1_matrix_non_zero_pattern.html#ac6fdf4b27f37d788a51ff50a47d0a3df" > ColDegree< / a > (pivot_col);< / div >
< div class = "line" > < a name = "l00098" > < / a > < span class = "lineno" > 98< / span >   < span class = "keyword" > const< / span > < span class = "keywordtype" > int< / span > pivot_row_degree = residual_matrix_non_zero_.< a class = "code" href = "classoperations__research_1_1glop_1_1_matrix_non_zero_pattern.html#a44badccd63c183b774ba7bfb005aac9f" > RowDegree< / a > (pivot_row);< / div >
< div class = "line" > < a name = "l00099" > < / a > < span class = "lineno" > 99< / span >   residual_matrix_non_zero_.< a class = "code" href = "classoperations__research_1_1glop_1_1_matrix_non_zero_pattern.html#a437a888007d0475cfaf07ac70538c458" > DeleteRowAndColumn< / a > (pivot_row, pivot_col);< / div >
< div class = "line" > < a name = "l00100" > < / a > < span class = "lineno" > 100< / span >   < span class = "keywordflow" > if< / span > (min_markowitz == 0) {< / div >
< div class = "line" > < a name = "l00101" > < / a > < span class = "lineno" > 101< / span >   ++stats_num_pivots_without_fill_in;< / div >
< div class = "line" > < a name = "l00102" > < / a > < span class = "lineno" > 102< / span >   < span class = "keywordflow" > if< / span > (pivot_col_degree == 1) {< / div >
< div class = "line" > < a name = "l00103" > < / a > < span class = "lineno" > 103< / span >   RemoveRowFromResidualMatrix(pivot_row, pivot_col);< / div >
< div class = "line" > < a name = "l00104" > < / a > < span class = "lineno" > 104< / span >   } < span class = "keywordflow" > else< / span > {< / div >
< div class = "line" > < a name = "l00105" > < / a > < span class = "lineno" > 105< / span >   < a class = "code" href = "base_2logging_8h.html#ae89df3243bbb8341130c7b3f44145ea0" > DCHECK_EQ< / a > (pivot_row_degree, 1);< / div >
< div class = "line" > < a name = "l00106" > < / a > < span class = "lineno" > 106< / span >   RemoveColumnFromResidualMatrix(pivot_row, pivot_col);< / div >
< div class = "line" > < a name = "l00107" > < / a > < span class = "lineno" > 107< / span >   }< / div >
< div class = "line" > < a name = "l00108" > < / a > < span class = "lineno" > 108< / span >   } < span class = "keywordflow" > else< / span > {< / div >
< div class = "line" > < a name = "l00109" > < / a > < span class = "lineno" > 109< / span >   < span class = "comment" > // TODO(user): Note that in some rare cases, because of numerical< / span > < / div >
< div class = "line" > < a name = "l00110" > < / a > < span class = "lineno" > 110< / span >   < span class = "comment" > // cancellation, the column degree may actually be smaller than< / span > < / div >
< div class = "line" > < a name = "l00111" > < / a > < span class = "lineno" > 111< / span >   < span class = "comment" > // pivot_col_degree. Exploit that better?< / span > < / div >
< div class = "line" > < a name = "l00112" > < / a > < span class = "lineno" > 112< / span >   < a class = "code" href = "stats_8h.html#a3c3e6b102f0d91c523099325c98e1887" > IF_STATS_ENABLED< / a > (< / div >
< div class = "line" > < a name = "l00113" > < / a > < span class = "lineno" > 113< / span >   < span class = "keywordflow" > if< / span > (pivot_col_degree == 2) { ++stats_degree_two_pivot_columns; });< / div >
< div class = "line" > < a name = "l00114" > < / a > < span class = "lineno" > 114< / span >   UpdateResidualMatrix(pivot_row, pivot_col);< / div >
< div class = "line" > < a name = "l00115" > < / a > < span class = "lineno" > 115< / span >   }< / div >
< div class = "line" > < a name = "l00116" > < / a > < span class = "lineno" > 116< / span >   < / div >
< div class = "line" > < a name = "l00117" > < / a > < span class = "lineno" > 117< / span >   < span class = "keywordflow" > if< / span > (contains_only_singleton_columns_) {< / div >
< div class = "line" > < a name = "l00118" > < / a > < span class = "lineno" > 118< / span >   < a class = "code" href = "base_2logging_8h.html#ae17f8119c108cf3070bad3449c7e0006" > DCHECK< / a > (permuted_upper_.< a class = "code" href = "classoperations__research_1_1glop_1_1_sparse_matrix_with_reusable_column_memory.html#a7273cc492a51a1c5d45c620b32fce502" > column< / a > (pivot_col).< a class = "code" href = "classoperations__research_1_1glop_1_1_sparse_vector.html#a8e12342fc420701fbffd97025421575a" > IsEmpty< / a > ());< / div >
< div class = "line" > < a name = "l00119" > < / a > < span class = "lineno" > 119< / span >   lower_.< a class = "code" href = "classoperations__research_1_1glop_1_1_triangular_matrix.html#ae95eb4b81113f212b6aae874a15808df" > AddDiagonalOnlyColumn< / a > (1.0);< / div >
< div class = "line" > < a name = "l00120" > < / a > < span class = "lineno" > 120< / span >   upper_.< a class = "code" href = "classoperations__research_1_1glop_1_1_triangular_matrix.html#ab5a8a005f27ece21134c277a33057c70" > AddTriangularColumn< / a > (basis_matrix.< a class = "code" href = "classoperations__research_1_1glop_1_1_compact_sparse_matrix_view.html#a6c2cb025b83ee5d5365eb0b419a0298c" > column< / a > (pivot_col), pivot_row);< / div >
< div class = "line" > < a name = "l00121" > < / a > < span class = "lineno" > 121< / span >   } < span class = "keywordflow" > else< / span > {< / div >
< div class = "line" > < a name = "l00122" > < / a > < span class = "lineno" > 122< / span >   lower_.< a class = "code" href = "classoperations__research_1_1glop_1_1_triangular_matrix.html#a8d3594198944bf0a6ac2669581085683" > AddAndNormalizeTriangularColumn< / a > (permuted_lower_.< a class = "code" href = "classoperations__research_1_1glop_1_1_sparse_matrix_with_reusable_column_memory.html#a7273cc492a51a1c5d45c620b32fce502" > column< / a > (pivot_col),< / div >
< div class = "line" > < a name = "l00123" > < / a > < span class = "lineno" > 123< / span >   pivot_row, pivot_coefficient);< / div >
< div class = "line" > < a name = "l00124" > < / a > < span class = "lineno" > 124< / span >   permuted_lower_.< a class = "code" href = "classoperations__research_1_1glop_1_1_sparse_matrix_with_reusable_column_memory.html#a4d3e4198a395b77980b341d40ddb8b3c" > ClearAndReleaseColumn< / a > (pivot_col);< / div >
< div class = "line" > < a name = "l00125" > < / a > < span class = "lineno" > 125< / span >   < / div >
< div class = "line" > < a name = "l00126" > < / a > < span class = "lineno" > 126< / span >   upper_.< a class = "code" href = "classoperations__research_1_1glop_1_1_triangular_matrix.html#a2ffa6dbb95dfb7e397bf69fd1ddd188e" > AddTriangularColumnWithGivenDiagonalEntry< / a > (< / div >
< div class = "line" > < a name = "l00127" > < / a > < span class = "lineno" > 127< / span >   permuted_upper_.< a class = "code" href = "classoperations__research_1_1glop_1_1_sparse_matrix_with_reusable_column_memory.html#a7273cc492a51a1c5d45c620b32fce502" > column< / a > (pivot_col), pivot_row, pivot_coefficient);< / div >
< div class = "line" > < a name = "l00128" > < / a > < span class = "lineno" > 128< / span >   permuted_upper_.< a class = "code" href = "classoperations__research_1_1glop_1_1_sparse_matrix_with_reusable_column_memory.html#a4d3e4198a395b77980b341d40ddb8b3c" > ClearAndReleaseColumn< / a > (pivot_col);< / div >
< div class = "line" > < a name = "l00129" > < / a > < span class = "lineno" > 129< / span >   }< / div >
< div class = "line" > < a name = "l00130" > < / a > < span class = "lineno" > 130< / span >   < / div >
< div class = "line" > < a name = "l00131" > < / a > < span class = "lineno" > 131< / span >   < span class = "comment" > // Update the permutations.< / span > < / div >
< div class = "line" > < a name = "l00132" > < / a > < span class = "lineno" > 132< / span >   (*col_perm)[pivot_col] = ColIndex(< a class = "code" href = "pack_8cc.html#a750b5d744c39a06bfb13e6eb010e35d0" > index< / a > );< / div >
< div class = "line" > < a name = "l00133" > < / a > < span class = "lineno" > 133< / span >   (*row_perm)[pivot_row] = RowIndex(< a class = "code" href = "pack_8cc.html#a750b5d744c39a06bfb13e6eb010e35d0" > index< / a > );< / div >
< div class = "line" > < a name = "l00134" > < / a > < span class = "lineno" > 134< / span >   ++< a class = "code" href = "pack_8cc.html#a750b5d744c39a06bfb13e6eb010e35d0" > index< / a > ;< / div >
< div class = "line" > < a name = "l00135" > < / a > < span class = "lineno" > 135< / span >   }< / div >
< div class = "line" > < a name = "l00136" > < / a > < span class = "lineno" > 136< / span >   < / div >
< div class = "line" > < a name = "l00137" > < / a > < span class = "lineno" > 137< / span >   < span class = "comment" > // To get a better deterministic time, we add a factor that depend on the< / span > < / div >
< div class = "line" > < a name = "l00138" > < / a > < span class = "lineno" > 138< / span >   < span class = "comment" > // final number of entries in the result.< / span > < / div >
< div class = "line" > < a name = "l00139" > < / a > < span class = "lineno" > 139< / span >   num_fp_operations_ += 10 * lower_.< a class = "code" href = "classoperations__research_1_1glop_1_1_triangular_matrix.html#af69d9b7065a8f31604a8134be4307749" > num_entries< / a > ().value();< / div >
< div class = "line" > < a name = "l00140" > < / a > < span class = "lineno" > 140< / span >   num_fp_operations_ += 10 * upper_.< a class = "code" href = "classoperations__research_1_1glop_1_1_triangular_matrix.html#af69d9b7065a8f31604a8134be4307749" > num_entries< / a > ().value();< / div >
< div class = "line" > < a name = "l00141" > < / a > < span class = "lineno" > 141< / span >   < / div >
< div class = "line" > < a name = "l00142" > < / a > < span class = "lineno" > 142< / span >   stats_.pivots_without_fill_in_ratio.Add(< / div >
< div class = "line" > < a name = "l00143" > < / a > < span class = "lineno" > 143< / span >   1.0 * stats_num_pivots_without_fill_in / end_index);< / div >
< div class = "line" > < a name = "l00144" > < / a > < span class = "lineno" > 144< / span >   stats_.degree_two_pivot_columns.Add(1.0 * stats_degree_two_pivot_columns /< / div >
< div class = "line" > < a name = "l00145" > < / a > < span class = "lineno" > 145< / span >   end_index);< / div >
< div class = "line" > < a name = "l00146" > < / a > < span class = "lineno" > 146< / span >   < span class = "keywordflow" > return< / span > < a class = "code" href = "classoperations__research_1_1glop_1_1_status.html#a071b1d04197c0ac6e7a4d0ec0b91ff43" > Status::OK< / a > ();< / div >
< div class = "line" > < a name = "l00147" > < / a > < span class = "lineno" > 147< / span >   }< / div >
< div class = "line" > < a name = "l00148" > < / a > < span class = "lineno" > 148< / span >   < / div >
< div class = "line" > < a name = "l00149" > < / a > < span class = "lineno" > < a class = "line" href = "classoperations__research_1_1glop_1_1_markowitz.html#a7ac2557be8cf0394f9953fbdac2f18f4" > 149< / a > < / span >   < a class = "code" href = "classoperations__research_1_1glop_1_1_status.html" > Status< / a > < a class = "code" href = "classoperations__research_1_1glop_1_1_markowitz.html#a7ac2557be8cf0394f9953fbdac2f18f4" > Markowitz::ComputeLU< / a > (< span class = "keyword" > const< / span > < a class = "code" href = "classoperations__research_1_1glop_1_1_compact_sparse_matrix_view.html" > CompactSparseMatrixView< / a > & basis_matrix,< / div >
< div class = "line" > < a name = "l00150" > < / a > < span class = "lineno" > 150< / span >   < a class = "code" href = "classoperations__research_1_1glop_1_1_permutation.html" > RowPermutation< / a > * row_perm,< / div >
< div class = "line" > < a name = "l00151" > < / a > < span class = "lineno" > 151< / span >   < a class = "code" href = "classoperations__research_1_1glop_1_1_permutation.html" > ColumnPermutation< / a > * col_perm,< / div >
< div class = "line" > < a name = "l00152" > < / a > < span class = "lineno" > 152< / span >   < a class = "code" href = "classoperations__research_1_1glop_1_1_triangular_matrix.html" > TriangularMatrix< / a > * lower, < a class = "code" href = "classoperations__research_1_1glop_1_1_triangular_matrix.html" > TriangularMatrix< / a > * upper) {< / div >
< div class = "line" > < a name = "l00153" > < / a > < span class = "lineno" > 153< / span >   < span class = "comment" > // The two first swaps allow to use less memory since this way upper_< / span > < / div >
< div class = "line" > < a name = "l00154" > < / a > < span class = "lineno" > 154< / span >   < span class = "comment" > // and lower_ will always stay empty at the end of this function.< / span > < / div >
< div class = "line" > < a name = "l00155" > < / a > < span class = "lineno" > 155< / span >   lower_.< a class = "code" href = "classoperations__research_1_1glop_1_1_triangular_matrix.html#a3e1b01501c922d36c55fb59cfc18e630" > Swap< / a > (lower);< / div >
< div class = "line" > < a name = "l00156" > < / a > < span class = "lineno" > 156< / span >   upper_.< a class = "code" href = "classoperations__research_1_1glop_1_1_triangular_matrix.html#a3e1b01501c922d36c55fb59cfc18e630" > Swap< / a > (upper);< / div >
< div class = "line" > < a name = "l00157" > < / a > < span class = "lineno" > 157< / span >   < a class = "code" href = "status_8h.html#a3efb1c6250c02a5b881f8b82f75f9822" > GLOP_RETURN_IF_ERROR< / a > (< / div >
< div class = "line" > < a name = "l00158" > < / a > < span class = "lineno" > 158< / span >   < a class = "code" href = "classoperations__research_1_1glop_1_1_markowitz.html#afd3f022e573b8f4f0901624a813ade07" > ComputeRowAndColumnPermutation< / a > (basis_matrix, row_perm, col_perm));< / div >
< div class = "line" > < a name = "l00159" > < / a > < span class = "lineno" > 159< / span >   < a class = "code" href = "stats_8h.html#a9995704aaaf45fc21e08c847551a8d04" > SCOPED_TIME_STAT< / a > (& stats_);< / div >
< div class = "line" > < a name = "l00160" > < / a > < span class = "lineno" > 160< / span >   lower_.< a class = "code" href = "classoperations__research_1_1glop_1_1_triangular_matrix.html#ad001a49701677a22b4efd9186b97ae05" > ApplyRowPermutationToNonDiagonalEntries< / a > (*row_perm);< / div >
< div class = "line" > < a name = "l00161" > < / a > < span class = "lineno" > 161< / span >   upper_.< a class = "code" href = "classoperations__research_1_1glop_1_1_triangular_matrix.html#ad001a49701677a22b4efd9186b97ae05" > ApplyRowPermutationToNonDiagonalEntries< / a > (*row_perm);< / div >
< div class = "line" > < a name = "l00162" > < / a > < span class = "lineno" > 162< / span >   lower_.< a class = "code" href = "classoperations__research_1_1glop_1_1_triangular_matrix.html#a3e1b01501c922d36c55fb59cfc18e630" > Swap< / a > (lower);< / div >
< div class = "line" > < a name = "l00163" > < / a > < span class = "lineno" > 163< / span >   upper_.< a class = "code" href = "classoperations__research_1_1glop_1_1_triangular_matrix.html#a3e1b01501c922d36c55fb59cfc18e630" > Swap< / a > (upper);< / div >
< div class = "line" > < a name = "l00164" > < / a > < span class = "lineno" > 164< / span >   < a class = "code" href = "base_2logging_8h.html#ae17f8119c108cf3070bad3449c7e0006" > DCHECK< / a > (lower-> < a class = "code" href = "classoperations__research_1_1glop_1_1_triangular_matrix.html#a478299b61f785b5406d276ebe402aa64" > IsLowerTriangular< / a > ());< / div >
< div class = "line" > < a name = "l00165" > < / a > < span class = "lineno" > 165< / span >   < a class = "code" href = "base_2logging_8h.html#ae17f8119c108cf3070bad3449c7e0006" > DCHECK< / a > (upper-> < a class = "code" href = "classoperations__research_1_1glop_1_1_triangular_matrix.html#a930392173df6dce15fc905d089bd19aa" > IsUpperTriangular< / a > ());< / div >
< div class = "line" > < a name = "l00166" > < / a > < span class = "lineno" > 166< / span >   < span class = "keywordflow" > return< / span > < a class = "code" href = "classoperations__research_1_1glop_1_1_status.html#a071b1d04197c0ac6e7a4d0ec0b91ff43" > Status::OK< / a > ();< / div >
< div class = "line" > < a name = "l00167" > < / a > < span class = "lineno" > 167< / span >   }< / div >
< div class = "line" > < a name = "l00168" > < / a > < span class = "lineno" > 168< / span >   < / div >
< div class = "line" > < a name = "l00169" > < / a > < span class = "lineno" > < a class = "line" href = "classoperations__research_1_1glop_1_1_markowitz.html#aa71d36872f416feaa853788a7a7a7ef8" > 169< / a > < / span >   < span class = "keywordtype" > void< / span > < a class = "code" href = "classoperations__research_1_1glop_1_1_markowitz.html#aa71d36872f416feaa853788a7a7a7ef8" > Markowitz::Clear< / a > () {< / div >
< div class = "line" > < a name = "l00170" > < / a > < span class = "lineno" > 170< / span >   < a class = "code" href = "stats_8h.html#a9995704aaaf45fc21e08c847551a8d04" > SCOPED_TIME_STAT< / a > (& stats_);< / div >
< div class = "line" > < a name = "l00171" > < / a > < span class = "lineno" > 171< / span >   permuted_lower_.< a class = "code" href = "classoperations__research_1_1glop_1_1_sparse_matrix_with_reusable_column_memory.html#aa71d36872f416feaa853788a7a7a7ef8" > Clear< / a > ();< / div >
< div class = "line" > < a name = "l00172" > < / a > < span class = "lineno" > 172< / span >   permuted_upper_.< a class = "code" href = "classoperations__research_1_1glop_1_1_sparse_matrix_with_reusable_column_memory.html#aa71d36872f416feaa853788a7a7a7ef8" > Clear< / a > ();< / div >
< div class = "line" > < a name = "l00173" > < / a > < span class = "lineno" > 173< / span >   residual_matrix_non_zero_.< a class = "code" href = "classoperations__research_1_1glop_1_1_matrix_non_zero_pattern.html#aa71d36872f416feaa853788a7a7a7ef8" > Clear< / a > ();< / div >
< div class = "line" > < a name = "l00174" > < / a > < span class = "lineno" > 174< / span >   col_by_degree_.< a class = "code" href = "classoperations__research_1_1glop_1_1_column_priority_queue.html#aa71d36872f416feaa853788a7a7a7ef8" > Clear< / a > ();< / div >
< div class = "line" > < a name = "l00175" > < / a > < span class = "lineno" > 175< / span >   examined_col_.clear();< / div >
< div class = "line" > < a name = "l00176" > < / a > < span class = "lineno" > 176< / span >   num_fp_operations_ = 0;< / div >
< div class = "line" > < a name = "l00177" > < / a > < span class = "lineno" > 177< / span >   is_col_by_degree_initialized_ = < span class = "keyword" > false< / span > ;< / div >
< div class = "line" > < a name = "l00178" > < / a > < span class = "lineno" > 178< / span >   }< / div >
< div class = "line" > < a name = "l00179" > < / a > < span class = "lineno" > 179< / span >   < / div >
< div class = "line" > < a name = "l00180" > < / a > < span class = "lineno" > 180< / span >   < span class = "keyword" > namespace < / span > {< / div >
< div class = "line" > < a name = "l00181" > < / a > < span class = "lineno" > 181< / span >   < span class = "keyword" > struct < / span > MatrixEntry {< / div >
< div class = "line" > < a name = "l00182" > < / a > < span class = "lineno" > < a class = "line" href = "markowitz_8cc.html#aea35f36ba98d5bbd8d033382f50c9e52" > 182< / a > < / span >   RowIndex < a class = "code" href = "markowitz_8cc.html#aea35f36ba98d5bbd8d033382f50c9e52" > row< / a > ;< / div >
< div class = "line" > < a name = "l00183" > < / a > < span class = "lineno" > < a class = "line" href = "markowitz_8cc.html#aa9d6c98fdf8d89b0e2321fda02adc82c" > 183< / a > < / span >   ColIndex < a class = "code" href = "markowitz_8cc.html#aa9d6c98fdf8d89b0e2321fda02adc82c" > col< / a > ;< / div >
< div class = "line" > < a name = "l00184" > < / a > < span class = "lineno" > < a class = "line" href = "markowitz_8cc.html#a722e11301e7de93191aa47dbd3ecb4d8" > 184< / a > < / span >   < a class = "code" href = "namespaceoperations__research_1_1glop.html#a733947145e3e1631165b618b05c9ccb7" > Fractional< / a > < a class = "code" href = "markowitz_8cc.html#a722e11301e7de93191aa47dbd3ecb4d8" > coefficient< / a > ;< / div >
< div class = "line" > < a name = "l00185" > < / a > < span class = "lineno" > 185< / span >   MatrixEntry(RowIndex r, ColIndex c, < a class = "code" href = "namespaceoperations__research_1_1glop.html#a733947145e3e1631165b618b05c9ccb7" > Fractional< / a > coeff)< / div >
< div class = "line" > < a name = "l00186" > < / a > < span class = "lineno" > 186< / span >   : < a class = "code" href = "markowitz_8cc.html#aea35f36ba98d5bbd8d033382f50c9e52" > row< / a > (r), < a class = "code" href = "markowitz_8cc.html#aa9d6c98fdf8d89b0e2321fda02adc82c" > col< / a > (c), < a class = "code" href = "markowitz_8cc.html#a722e11301e7de93191aa47dbd3ecb4d8" > coefficient< / a > (coeff) {}< / div >
< div class = "line" > < a name = "l00187" > < / a > < span class = "lineno" > 187< / span >   < span class = "keywordtype" > bool< / span > operator< (< span class = "keyword" > const< / span > MatrixEntry& o)< span class = "keyword" > const < / span > {< / div >
< div class = "line" > < a name = "l00188" > < / a > < span class = "lineno" > 188< / span >   < span class = "keywordflow" > return< / span > (< a class = "code" href = "markowitz_8cc.html#aea35f36ba98d5bbd8d033382f50c9e52" > row< / a > == o.row) ? < a class = "code" href = "markowitz_8cc.html#aa9d6c98fdf8d89b0e2321fda02adc82c" > col< / a > < o.col : < a class = "code" href = "markowitz_8cc.html#aea35f36ba98d5bbd8d033382f50c9e52" > row< / a > < o.row;< / div >
< div class = "line" > < a name = "l00189" > < / a > < span class = "lineno" > 189< / span >   }< / div >
< div class = "line" > < a name = "l00190" > < / a > < span class = "lineno" > 190< / span >   };< / div >
< div class = "line" > < a name = "l00191" > < / a > < span class = "lineno" > 191< / span >   < / div >
< div class = "line" > < a name = "l00192" > < / a > < span class = "lineno" > 192< / span >   } < span class = "comment" > // namespace< / span > < / div >
< div class = "line" > < a name = "l00193" > < / a > < span class = "lineno" > 193< / span >   < / div >
< div class = "line" > < a name = "l00194" > < / a > < span class = "lineno" > 194< / span >   < span class = "keywordtype" > void< / span > Markowitz::ExtractSingletonColumns(< / div >
< div class = "line" > < a name = "l00195" > < / a > < span class = "lineno" > 195< / span >   < span class = "keyword" > const< / span > CompactSparseMatrixView& basis_matrix, < a class = "code" href = "namespaceoperations__research_1_1glop.html#ae69267cf0653a77925ee13121b9857ec" > RowPermutation< / a > * row_perm,< / div >
< div class = "line" > < a name = "l00196" > < / a > < span class = "lineno" > 196< / span >   < a class = "code" href = "namespaceoperations__research_1_1glop.html#a6b1b56ad0cb77edbd314f2bec33b467a" > ColumnPermutation< / a > * col_perm, < span class = "keywordtype" > int< / span > * < a class = "code" href = "pack_8cc.html#a750b5d744c39a06bfb13e6eb010e35d0" > index< / a > ) {< / div >
< div class = "line" > < a name = "l00197" > < / a > < span class = "lineno" > 197< / span >   < a class = "code" href = "stats_8h.html#a9995704aaaf45fc21e08c847551a8d04" > SCOPED_TIME_STAT< / a > (& stats_);< / div >
< div class = "line" > < a name = "l00198" > < / a > < span class = "lineno" > 198< / span >   std::vector< MatrixEntry> singleton_entries;< / div >
< div class = "line" > < a name = "l00199" > < / a > < span class = "lineno" > 199< / span >   < span class = "keyword" > const< / span > ColIndex num_cols = basis_matrix.num_cols();< / div >
< div class = "line" > < a name = "l00200" > < / a > < span class = "lineno" > 200< / span >   < span class = "keywordflow" > for< / span > (ColIndex < a class = "code" href = "markowitz_8cc.html#aa9d6c98fdf8d89b0e2321fda02adc82c" > col< / a > (0); < a class = "code" href = "markowitz_8cc.html#aa9d6c98fdf8d89b0e2321fda02adc82c" > col< / a > < num_cols; ++< a class = "code" href = "markowitz_8cc.html#aa9d6c98fdf8d89b0e2321fda02adc82c" > col< / a > ) {< / div >
< div class = "line" > < a name = "l00201" > < / a > < span class = "lineno" > 201< / span >   < span class = "keyword" > const< / span > ColumnView& column = basis_matrix.column(< a class = "code" href = "markowitz_8cc.html#aa9d6c98fdf8d89b0e2321fda02adc82c" > col< / a > );< / div >
< div class = "line" > < a name = "l00202" > < / a > < span class = "lineno" > 202< / span >   < span class = "keywordflow" > if< / span > (column.num_entries().value() == 1) {< / div >
< div class = "line" > < a name = "l00203" > < / a > < span class = "lineno" > 203< / span >   singleton_entries.push_back(< / div >
< div class = "line" > < a name = "l00204" > < / a > < span class = "lineno" > 204< / span >   MatrixEntry(column.GetFirstRow(), < a class = "code" href = "markowitz_8cc.html#aa9d6c98fdf8d89b0e2321fda02adc82c" > col< / a > , column.GetFirstCoefficient()));< / div >
< div class = "line" > < a name = "l00205" > < / a > < span class = "lineno" > 205< / span >   }< / div >
< div class = "line" > < a name = "l00206" > < / a > < span class = "lineno" > 206< / span >   }< / div >
< div class = "line" > < a name = "l00207" > < / a > < span class = "lineno" > 207< / span >   < / div >
< div class = "line" > < a name = "l00208" > < / a > < span class = "lineno" > 208< / span >   < span class = "comment" > // Sorting the entries by row indices allows the row_permutation to be closer< / span > < / div >
< div class = "line" > < a name = "l00209" > < / a > < span class = "lineno" > 209< / span >   < span class = "comment" > // to identity which seems like a good idea.< / span > < / div >
< div class = "line" > < a name = "l00210" > < / a > < span class = "lineno" > 210< / span >   std::sort(singleton_entries.begin(), singleton_entries.end());< / div >
< div class = "line" > < a name = "l00211" > < / a > < span class = "lineno" > 211< / span >   < span class = "keywordflow" > for< / span > (< span class = "keyword" > const< / span > MatrixEntry e : singleton_entries) {< / div >
< div class = "line" > < a name = "l00212" > < / a > < span class = "lineno" > 212< / span >   < span class = "keywordflow" > if< / span > ((*row_perm)[e.row] == < a class = "code" href = "namespaceoperations__research_1_1glop.html#a31ee82f6ef05c3da492c0376f910d015" > kInvalidRow< / a > ) {< / div >
< div class = "line" > < a name = "l00213" > < / a > < span class = "lineno" > 213< / span >   (*col_perm)[e.col] = ColIndex(*< a class = "code" href = "pack_8cc.html#a750b5d744c39a06bfb13e6eb010e35d0" > index< / a > );< / div >
< div class = "line" > < a name = "l00214" > < / a > < span class = "lineno" > 214< / span >   (*row_perm)[e.row] = RowIndex(*< a class = "code" href = "pack_8cc.html#a750b5d744c39a06bfb13e6eb010e35d0" > index< / a > );< / div >
< div class = "line" > < a name = "l00215" > < / a > < span class = "lineno" > 215< / span >   lower_.< a class = "code" href = "classoperations__research_1_1glop_1_1_triangular_matrix.html#ae95eb4b81113f212b6aae874a15808df" > AddDiagonalOnlyColumn< / a > (1.0);< / div >
< div class = "line" > < a name = "l00216" > < / a > < span class = "lineno" > 216< / span >   upper_.< a class = "code" href = "classoperations__research_1_1glop_1_1_triangular_matrix.html#ae95eb4b81113f212b6aae874a15808df" > AddDiagonalOnlyColumn< / a > (e.coefficient);< / div >
< div class = "line" > < a name = "l00217" > < / a > < span class = "lineno" > 217< / span >   ++(*index);< / div >
< div class = "line" > < a name = "l00218" > < / a > < span class = "lineno" > 218< / span >   }< / div >
< div class = "line" > < a name = "l00219" > < / a > < span class = "lineno" > 219< / span >   }< / div >
< div class = "line" > < a name = "l00220" > < / a > < span class = "lineno" > 220< / span >   stats_.basis_singleton_column_ratio.Add(< span class = "keyword" > static_cast< < / span > < span class = "keywordtype" > double< / span > < span class = "keyword" > > < / span > (*< a class = "code" href = "pack_8cc.html#a750b5d744c39a06bfb13e6eb010e35d0" > index< / a > ) /< / div >
< div class = "line" > < a name = "l00221" > < / a > < span class = "lineno" > 221< / span >   num_cols.value());< / div >
< div class = "line" > < a name = "l00222" > < / a > < span class = "lineno" > 222< / span >   }< / div >
< div class = "line" > < a name = "l00223" > < / a > < span class = "lineno" > 223< / span >   < / div >
< div class = "line" > < a name = "l00224" > < / a > < span class = "lineno" > 224< / span >   < span class = "keywordtype" > bool< / span > Markowitz::IsResidualSingletonColumn(< span class = "keyword" > const< / span > ColumnView& column,< / div >
< div class = "line" > < a name = "l00225" > < / a > < span class = "lineno" > 225< / span >   < span class = "keyword" > const< / span > < a class = "code" href = "namespaceoperations__research_1_1glop.html#ae69267cf0653a77925ee13121b9857ec" > RowPermutation< / a > & row_perm,< / div >
< div class = "line" > < a name = "l00226" > < / a > < span class = "lineno" > 226< / span >   RowIndex* < a class = "code" href = "markowitz_8cc.html#aea35f36ba98d5bbd8d033382f50c9e52" > row< / a > ) {< / div >
< div class = "line" > < a name = "l00227" > < / a > < span class = "lineno" > 227< / span >   < span class = "keywordtype" > int< / span > residual_degree = 0;< / div >
< div class = "line" > < a name = "l00228" > < / a > < span class = "lineno" > 228< / span >   < span class = "keywordflow" > for< / span > (< span class = "keyword" > const< / span > < span class = "keyword" > auto< / span > e : column) {< / div >
< div class = "line" > < a name = "l00229" > < / a > < span class = "lineno" > 229< / span >   < span class = "keywordflow" > if< / span > (row_perm[e.row()] != < a class = "code" href = "namespaceoperations__research_1_1glop.html#a31ee82f6ef05c3da492c0376f910d015" > kInvalidRow< / a > ) < span class = "keywordflow" > continue< / span > ;< / div >
< div class = "line" > < a name = "l00230" > < / a > < span class = "lineno" > 230< / span >   ++residual_degree;< / div >
< div class = "line" > < a name = "l00231" > < / a > < span class = "lineno" > 231< / span >   < span class = "keywordflow" > if< / span > (residual_degree > 1) < span class = "keywordflow" > return< / span > < span class = "keyword" > false< / span > ;< / div >
< div class = "line" > < a name = "l00232" > < / a > < span class = "lineno" > 232< / span >   *< a class = "code" href = "markowitz_8cc.html#aea35f36ba98d5bbd8d033382f50c9e52" > row< / a > = e.row();< / div >
< div class = "line" > < a name = "l00233" > < / a > < span class = "lineno" > 233< / span >   }< / div >
< div class = "line" > < a name = "l00234" > < / a > < span class = "lineno" > 234< / span >   < span class = "keywordflow" > return< / span > residual_degree == 1;< / div >
< div class = "line" > < a name = "l00235" > < / a > < span class = "lineno" > 235< / span >   }< / div >
< div class = "line" > < a name = "l00236" > < / a > < span class = "lineno" > 236< / span >   < / div >
< div class = "line" > < a name = "l00237" > < / a > < span class = "lineno" > 237< / span >   < span class = "keywordtype" > void< / span > Markowitz::ExtractResidualSingletonColumns(< / div >
< div class = "line" > < a name = "l00238" > < / a > < span class = "lineno" > 238< / span >   < span class = "keyword" > const< / span > CompactSparseMatrixView& basis_matrix, < a class = "code" href = "namespaceoperations__research_1_1glop.html#ae69267cf0653a77925ee13121b9857ec" > RowPermutation< / a > * row_perm,< / div >
< div class = "line" > < a name = "l00239" > < / a > < span class = "lineno" > 239< / span >   < a class = "code" href = "namespaceoperations__research_1_1glop.html#a6b1b56ad0cb77edbd314f2bec33b467a" > ColumnPermutation< / a > * col_perm, < span class = "keywordtype" > int< / span > * < a class = "code" href = "pack_8cc.html#a750b5d744c39a06bfb13e6eb010e35d0" > index< / a > ) {< / div >
< div class = "line" > < a name = "l00240" > < / a > < span class = "lineno" > 240< / span >   < a class = "code" href = "stats_8h.html#a9995704aaaf45fc21e08c847551a8d04" > SCOPED_TIME_STAT< / a > (& stats_);< / div >
< div class = "line" > < a name = "l00241" > < / a > < span class = "lineno" > 241< / span >   < span class = "keyword" > const< / span > ColIndex num_cols = basis_matrix.num_cols();< / div >
< div class = "line" > < a name = "l00242" > < / a > < span class = "lineno" > 242< / span >   RowIndex < a class = "code" href = "markowitz_8cc.html#aea35f36ba98d5bbd8d033382f50c9e52" > row< / a > = < a class = "code" href = "namespaceoperations__research_1_1glop.html#a31ee82f6ef05c3da492c0376f910d015" > kInvalidRow< / a > ;< / div >
< div class = "line" > < a name = "l00243" > < / a > < span class = "lineno" > 243< / span >   < span class = "keywordflow" > for< / span > (ColIndex < a class = "code" href = "markowitz_8cc.html#aa9d6c98fdf8d89b0e2321fda02adc82c" > col< / a > (0); < a class = "code" href = "markowitz_8cc.html#aa9d6c98fdf8d89b0e2321fda02adc82c" > col< / a > < num_cols; ++< a class = "code" href = "markowitz_8cc.html#aa9d6c98fdf8d89b0e2321fda02adc82c" > col< / a > ) {< / div >
< div class = "line" > < a name = "l00244" > < / a > < span class = "lineno" > 244< / span >   < span class = "keywordflow" > if< / span > ((*col_perm)[< a class = "code" href = "markowitz_8cc.html#aa9d6c98fdf8d89b0e2321fda02adc82c" > col< / a > ] != < a class = "code" href = "namespaceoperations__research_1_1glop.html#afb755b7934d8679476e2f05a89739bcd" > kInvalidCol< / a > ) < span class = "keywordflow" > continue< / span > ;< / div >
< div class = "line" > < a name = "l00245" > < / a > < span class = "lineno" > 245< / span >   < span class = "keyword" > const< / span > ColumnView& column = basis_matrix.column(< a class = "code" href = "markowitz_8cc.html#aa9d6c98fdf8d89b0e2321fda02adc82c" > col< / a > );< / div >
< div class = "line" > < a name = "l00246" > < / a > < span class = "lineno" > 246< / span >   < span class = "keywordflow" > if< / span > (!IsResidualSingletonColumn(column, *row_perm, & < a class = "code" href = "markowitz_8cc.html#aea35f36ba98d5bbd8d033382f50c9e52" > row< / a > )) < span class = "keywordflow" > continue< / span > ;< / div >
< div class = "line" > < a name = "l00247" > < / a > < span class = "lineno" > 247< / span >   (*col_perm)[< a class = "code" href = "markowitz_8cc.html#aa9d6c98fdf8d89b0e2321fda02adc82c" > col< / a > ] = ColIndex(*< a class = "code" href = "pack_8cc.html#a750b5d744c39a06bfb13e6eb010e35d0" > index< / a > );< / div >
< div class = "line" > < a name = "l00248" > < / a > < span class = "lineno" > 248< / span >   (*row_perm)[< a class = "code" href = "markowitz_8cc.html#aea35f36ba98d5bbd8d033382f50c9e52" > row< / a > ] = RowIndex(*< a class = "code" href = "pack_8cc.html#a750b5d744c39a06bfb13e6eb010e35d0" > index< / a > );< / div >
< div class = "line" > < a name = "l00249" > < / a > < span class = "lineno" > 249< / span >   lower_.< a class = "code" href = "classoperations__research_1_1glop_1_1_triangular_matrix.html#ae95eb4b81113f212b6aae874a15808df" > AddDiagonalOnlyColumn< / a > (1.0);< / div >
< div class = "line" > < a name = "l00250" > < / a > < span class = "lineno" > 250< / span >   upper_.< a class = "code" href = "classoperations__research_1_1glop_1_1_triangular_matrix.html#ab5a8a005f27ece21134c277a33057c70" > AddTriangularColumn< / a > (column, < a class = "code" href = "markowitz_8cc.html#aea35f36ba98d5bbd8d033382f50c9e52" > row< / a > );< / div >
< div class = "line" > < a name = "l00251" > < / a > < span class = "lineno" > 251< / span >   ++(*index);< / div >
< div class = "line" > < a name = "l00252" > < / a > < span class = "lineno" > 252< / span >   }< / div >
< div class = "line" > < a name = "l00253" > < / a > < span class = "lineno" > 253< / span >   stats_.basis_residual_singleton_column_ratio.Add(< span class = "keyword" > static_cast< < / span > < span class = "keywordtype" > double< / span > < span class = "keyword" > > < / span > (*< a class = "code" href = "pack_8cc.html#a750b5d744c39a06bfb13e6eb010e35d0" > index< / a > ) /< / div >
< div class = "line" > < a name = "l00254" > < / a > < span class = "lineno" > 254< / span >   num_cols.value());< / div >
< div class = "line" > < a name = "l00255" > < / a > < span class = "lineno" > 255< / span >   }< / div >
< div class = "line" > < a name = "l00256" > < / a > < span class = "lineno" > 256< / span >   < / div >
< div class = "line" > < a name = "l00257" > < / a > < span class = "lineno" > 257< / span >   < span class = "keyword" > const< / span > SparseColumn& Markowitz::ComputeColumn(< span class = "keyword" > const< / span > < a class = "code" href = "namespaceoperations__research_1_1glop.html#ae69267cf0653a77925ee13121b9857ec" > RowPermutation< / a > & row_perm,< / div >
< div class = "line" > < a name = "l00258" > < / a > < span class = "lineno" > 258< / span >   ColIndex < a class = "code" href = "markowitz_8cc.html#aa9d6c98fdf8d89b0e2321fda02adc82c" > col< / a > ) {< / div >
< div class = "line" > < a name = "l00259" > < / a > < span class = "lineno" > 259< / span >   < a class = "code" href = "stats_8h.html#a9995704aaaf45fc21e08c847551a8d04" > SCOPED_TIME_STAT< / a > (& stats_);< / div >
< div class = "line" > < a name = "l00260" > < / a > < span class = "lineno" > 260< / span >   < span class = "comment" > // Is this the first time ComputeColumn() sees this column? This is a bit< / span > < / div >
< div class = "line" > < a name = "l00261" > < / a > < span class = "lineno" > 261< / span >   < span class = "comment" > // tricky because just one of the tests is not sufficient in case the matrix< / span > < / div >
< div class = "line" > < a name = "l00262" > < / a > < span class = "lineno" > 262< / span >   < span class = "comment" > // is degenerate.< / span > < / div >
< div class = "line" > < a name = "l00263" > < / a > < span class = "lineno" > 263< / span >   < span class = "keyword" > const< / span > < span class = "keywordtype" > bool< / span > first_time = permuted_lower_.< a class = "code" href = "classoperations__research_1_1glop_1_1_sparse_matrix_with_reusable_column_memory.html#a7273cc492a51a1c5d45c620b32fce502" > column< / a > (< a class = "code" href = "markowitz_8cc.html#aa9d6c98fdf8d89b0e2321fda02adc82c" > col< / a > ).< a class = "code" href = "classoperations__research_1_1glop_1_1_sparse_vector.html#a8e12342fc420701fbffd97025421575a" > IsEmpty< / a > () & & < / div >
< div class = "line" > < a name = "l00264" > < / a > < span class = "lineno" > 264< / span >   permuted_upper_.< a class = "code" href = "classoperations__research_1_1glop_1_1_sparse_matrix_with_reusable_column_memory.html#a7273cc492a51a1c5d45c620b32fce502" > column< / a > (< a class = "code" href = "markowitz_8cc.html#aa9d6c98fdf8d89b0e2321fda02adc82c" > col< / a > ).< a class = "code" href = "classoperations__research_1_1glop_1_1_sparse_vector.html#a8e12342fc420701fbffd97025421575a" > IsEmpty< / a > ();< / div >
< div class = "line" > < a name = "l00265" > < / a > < span class = "lineno" > 265< / span >   < / div >
< div class = "line" > < a name = "l00266" > < / a > < span class = "lineno" > 266< / span >   < span class = "comment" > // If !permuted_lower_column_needs_solve_[col] then the result of the< / span > < / div >
< div class = "line" > < a name = "l00267" > < / a > < span class = "lineno" > 267< / span >   < span class = "comment" > // PermutedLowerSparseSolve() below is already stored in< / span > < / div >
< div class = "line" > < a name = "l00268" > < / a > < span class = "lineno" > 268< / span >   < span class = "comment" > // permuted_lower_.column(col) and we just need to split this column. Note< / span > < / div >
< div class = "line" > < a name = "l00269" > < / a > < span class = "lineno" > 269< / span >   < span class = "comment" > // that this is just an optimization and the code would work if we just< / span > < / div >
< div class = "line" > < a name = "l00270" > < / a > < span class = "lineno" > 270< / span >   < span class = "comment" > // assumed permuted_lower_column_needs_solve_[col] to be always true.< / span > < / div >
< div class = "line" > < a name = "l00271" > < / a > < span class = "lineno" > 271< / span >   SparseColumn* lower_column = permuted_lower_.< a class = "code" href = "classoperations__research_1_1glop_1_1_sparse_matrix_with_reusable_column_memory.html#a564caf35589006190ef4985fbda74faa" > mutable_column< / a > (< a class = "code" href = "markowitz_8cc.html#aa9d6c98fdf8d89b0e2321fda02adc82c" > col< / a > );< / div >
< div class = "line" > < a name = "l00272" > < / a > < span class = "lineno" > 272< / span >   < span class = "keywordflow" > if< / span > (permuted_lower_column_needs_solve_[< a class = "code" href = "markowitz_8cc.html#aa9d6c98fdf8d89b0e2321fda02adc82c" > col< / a > ]) {< / div >
< div class = "line" > < a name = "l00273" > < / a > < span class = "lineno" > 273< / span >   < span class = "comment" > // Solve a sparse triangular system. If the column ' col' of permuted_lower_< / span > < / div >
< div class = "line" > < a name = "l00274" > < / a > < span class = "lineno" > 274< / span >   < span class = "comment" > // was never computed before by ComputeColumn(), we use the column ' col' of< / span > < / div >
< div class = "line" > < a name = "l00275" > < / a > < span class = "lineno" > 275< / span >   < span class = "comment" > // the matrix to factorize.< / span > < / div >
< div class = "line" > < a name = "l00276" > < / a > < span class = "lineno" > 276< / span >   < span class = "keyword" > const< / span > ColumnView& < a class = "code" href = "parser_8yy_8cc.html#a5a634cf4429798b1c921a81de8250051" > input< / a > =< / div >
< div class = "line" > < a name = "l00277" > < / a > < span class = "lineno" > 277< / span >   first_time ? basis_matrix_-> < a class = "code" href = "classoperations__research_1_1glop_1_1_compact_sparse_matrix_view.html#a6c2cb025b83ee5d5365eb0b419a0298c" > column< / a > (< a class = "code" href = "markowitz_8cc.html#aa9d6c98fdf8d89b0e2321fda02adc82c" > col< / a > ) : ColumnView(*lower_column);< / div >
< div class = "line" > < a name = "l00278" > < / a > < span class = "lineno" > 278< / span >   lower_.< a class = "code" href = "classoperations__research_1_1glop_1_1_triangular_matrix.html#abedd52dbc024598bf0189235764f734a" > PermutedLowerSparseSolve< / a > (< a class = "code" href = "parser_8yy_8cc.html#a5a634cf4429798b1c921a81de8250051" > input< / a > , row_perm, lower_column,< / div >
< div class = "line" > < a name = "l00279" > < / a > < span class = "lineno" > 279< / span >   permuted_upper_.< a class = "code" href = "classoperations__research_1_1glop_1_1_sparse_matrix_with_reusable_column_memory.html#a564caf35589006190ef4985fbda74faa" > mutable_column< / a > (< a class = "code" href = "markowitz_8cc.html#aa9d6c98fdf8d89b0e2321fda02adc82c" > col< / a > ));< / div >
< div class = "line" > < a name = "l00280" > < / a > < span class = "lineno" > 280< / span >   permuted_lower_column_needs_solve_[< a class = "code" href = "markowitz_8cc.html#aa9d6c98fdf8d89b0e2321fda02adc82c" > col< / a > ] = < span class = "keyword" > false< / span > ;< / div >
< div class = "line" > < a name = "l00281" > < / a > < span class = "lineno" > 281< / span >   num_fp_operations_ +=< / div >
< div class = "line" > < a name = "l00282" > < / a > < span class = "lineno" > 282< / span >   lower_.< a class = "code" href = "classoperations__research_1_1glop_1_1_triangular_matrix.html#aec8942e8b01f9aed2abc24de9acfb6ab" > NumFpOperationsInLastPermutedLowerSparseSolve< / a > ();< / div >
< div class = "line" > < a name = "l00283" > < / a > < span class = "lineno" > 283< / span >   < span class = "keywordflow" > return< / span > *lower_column;< / div >
< div class = "line" > < a name = "l00284" > < / a > < span class = "lineno" > 284< / span >   }< / div >
< div class = "line" > < a name = "l00285" > < / a > < span class = "lineno" > 285< / span >   < / div >
< div class = "line" > < a name = "l00286" > < / a > < span class = "lineno" > 286< / span >   < span class = "comment" > // All the symbolic non-zeros are always present in lower. So if this test is< / span > < / div >
< div class = "line" > < a name = "l00287" > < / a > < span class = "lineno" > 287< / span >   < span class = "comment" > // true, we can conclude that there is no entries from upper that need to be< / span > < / div >
< div class = "line" > < a name = "l00288" > < / a > < span class = "lineno" > 288< / span >   < span class = "comment" > // moved by a cardinality argument.< / span > < / div >
< div class = "line" > < a name = "l00289" > < / a > < span class = "lineno" > 289< / span >   < span class = "keywordflow" > if< / span > (lower_column-> num_entries() == residual_matrix_non_zero_.< a class = "code" href = "classoperations__research_1_1glop_1_1_matrix_non_zero_pattern.html#ac6fdf4b27f37d788a51ff50a47d0a3df" > ColDegree< / a > (< a class = "code" href = "markowitz_8cc.html#aa9d6c98fdf8d89b0e2321fda02adc82c" > col< / a > )) {< / div >
< div class = "line" > < a name = "l00290" > < / a > < span class = "lineno" > 290< / span >   < span class = "keywordflow" > return< / span > *lower_column;< / div >
< div class = "line" > < a name = "l00291" > < / a > < span class = "lineno" > 291< / span >   }< / div >
< div class = "line" > < a name = "l00292" > < / a > < span class = "lineno" > 292< / span >   < / div >
< div class = "line" > < a name = "l00293" > < / a > < span class = "lineno" > 293< / span >   < span class = "comment" > // In this case, we just need to " split" the lower column. We copy from the< / span > < / div >
< div class = "line" > < a name = "l00294" > < / a > < span class = "lineno" > 294< / span >   < span class = "comment" > // appropriate ColumnView in basis_matrix_.< / span > < / div >
< div class = "line" > < a name = "l00295" > < / a > < span class = "lineno" > 295< / span >   < span class = "comment" > // TODO(user): add PopulateFromColumnView if it is useful elsewhere.< / span > < / div >
< div class = "line" > < a name = "l00296" > < / a > < span class = "lineno" > 296< / span >   < span class = "keywordflow" > if< / span > (first_time) {< / div >
< div class = "line" > < a name = "l00297" > < / a > < span class = "lineno" > 297< / span >   < span class = "keyword" > const< / span > EntryIndex < a class = "code" href = "preprocessor_8cc.html#a2babe18010525bbf13c2fa5a959971e4" > num_entries< / a > = basis_matrix_-> < a class = "code" href = "classoperations__research_1_1glop_1_1_compact_sparse_matrix_view.html#a6c2cb025b83ee5d5365eb0b419a0298c" > column< / a > (< a class = "code" href = "markowitz_8cc.html#aa9d6c98fdf8d89b0e2321fda02adc82c" > col< / a > ).< a class = "code" href = "classoperations__research_1_1glop_1_1_column_view.html#af69d9b7065a8f31604a8134be4307749" > num_entries< / a > ();< / div >
< div class = "line" > < a name = "l00298" > < / a > < span class = "lineno" > 298< / span >   num_fp_operations_ += < a class = "code" href = "preprocessor_8cc.html#a2babe18010525bbf13c2fa5a959971e4" > num_entries< / a > .value();< / div >
< div class = "line" > < a name = "l00299" > < / a > < span class = "lineno" > 299< / span >   lower_column-> Reserve(< a class = "code" href = "preprocessor_8cc.html#a2babe18010525bbf13c2fa5a959971e4" > num_entries< / a > );< / div >
< div class = "line" > < a name = "l00300" > < / a > < span class = "lineno" > 300< / span >   < span class = "keywordflow" > for< / span > (< span class = "keyword" > const< / span > < span class = "keyword" > auto< / span > e : basis_matrix_-> < a class = "code" href = "classoperations__research_1_1glop_1_1_compact_sparse_matrix_view.html#a6c2cb025b83ee5d5365eb0b419a0298c" > column< / a > (< a class = "code" href = "markowitz_8cc.html#aa9d6c98fdf8d89b0e2321fda02adc82c" > col< / a > )) {< / div >
< div class = "line" > < a name = "l00301" > < / a > < span class = "lineno" > 301< / span >   lower_column-> SetCoefficient(e.row(), e.coefficient());< / div >
< div class = "line" > < a name = "l00302" > < / a > < span class = "lineno" > 302< / span >   }< / div >
< div class = "line" > < a name = "l00303" > < / a > < span class = "lineno" > 303< / span >   }< / div >
< div class = "line" > < a name = "l00304" > < / a > < span class = "lineno" > 304< / span >   num_fp_operations_ += lower_column-> num_entries().value();< / div >
< div class = "line" > < a name = "l00305" > < / a > < span class = "lineno" > 305< / span >   lower_column-> MoveTaggedEntriesTo(row_perm,< / div >
< div class = "line" > < a name = "l00306" > < / a > < span class = "lineno" > 306< / span >   permuted_upper_.< a class = "code" href = "classoperations__research_1_1glop_1_1_sparse_matrix_with_reusable_column_memory.html#a564caf35589006190ef4985fbda74faa" > mutable_column< / a > (< a class = "code" href = "markowitz_8cc.html#aa9d6c98fdf8d89b0e2321fda02adc82c" > col< / a > ));< / div >
< div class = "line" > < a name = "l00307" > < / a > < span class = "lineno" > 307< / span >   < span class = "keywordflow" > return< / span > *lower_column;< / div >
< div class = "line" > < a name = "l00308" > < / a > < span class = "lineno" > 308< / span >   }< / div >
2020-09-02 09:42:51 +02:00
< div class = "line" > < a name = "l00309" > < / a > < span class = "lineno" > 309< / span >   < / div >
2021-04-27 23:00:03 +02:00
< div class = "line" > < a name = "l00310" > < / a > < span class = "lineno" > 310< / span >   int64_t Markowitz::FindPivot(< span class = "keyword" > const< / span > < a class = "code" href = "namespaceoperations__research_1_1glop.html#ae69267cf0653a77925ee13121b9857ec" > RowPermutation< / a > & row_perm,< / div >
< div class = "line" > < a name = "l00311" > < / a > < span class = "lineno" > 311< / span >   < span class = "keyword" > const< / span > < a class = "code" href = "namespaceoperations__research_1_1glop.html#a6b1b56ad0cb77edbd314f2bec33b467a" > ColumnPermutation< / a > & col_perm,< / div >
< div class = "line" > < a name = "l00312" > < / a > < span class = "lineno" > 312< / span >   RowIndex* pivot_row, ColIndex* pivot_col,< / div >
< div class = "line" > < a name = "l00313" > < / a > < span class = "lineno" > 313< / span >   < a class = "code" href = "namespaceoperations__research_1_1glop.html#a733947145e3e1631165b618b05c9ccb7" > Fractional< / a > * pivot_coefficient) {< / div >
< div class = "line" > < a name = "l00314" > < / a > < span class = "lineno" > 314< / span >   < a class = "code" href = "stats_8h.html#a9995704aaaf45fc21e08c847551a8d04" > SCOPED_TIME_STAT< / a > (& stats_);< / div >
< div class = "line" > < a name = "l00315" > < / a > < span class = "lineno" > 315< / span >   < / div >
< div class = "line" > < a name = "l00316" > < / a > < span class = "lineno" > 316< / span >   < span class = "comment" > // Fast track for singleton columns.< / span > < / div >
< div class = "line" > < a name = "l00317" > < / a > < span class = "lineno" > 317< / span >   < span class = "keywordflow" > while< / span > (!singleton_column_.empty()) {< / div >
< div class = "line" > < a name = "l00318" > < / a > < span class = "lineno" > 318< / span >   < span class = "keyword" > const< / span > ColIndex < a class = "code" href = "markowitz_8cc.html#aa9d6c98fdf8d89b0e2321fda02adc82c" > col< / a > = singleton_column_.back();< / div >
< div class = "line" > < a name = "l00319" > < / a > < span class = "lineno" > 319< / span >   singleton_column_.pop_back();< / div >
< div class = "line" > < a name = "l00320" > < / a > < span class = "lineno" > 320< / span >   < a class = "code" href = "base_2logging_8h.html#ae89df3243bbb8341130c7b3f44145ea0" > DCHECK_EQ< / a > (< a class = "code" href = "namespaceoperations__research_1_1glop.html#afb755b7934d8679476e2f05a89739bcd" > kInvalidCol< / a > , col_perm[< a class = "code" href = "markowitz_8cc.html#aa9d6c98fdf8d89b0e2321fda02adc82c" > col< / a > ]);< / div >
< div class = "line" > < a name = "l00321" > < / a > < span class = "lineno" > 321< / span >   < / div >
< div class = "line" > < a name = "l00322" > < / a > < span class = "lineno" > 322< / span >   < span class = "comment" > // This can only happen if the matrix is singular. Continuing will cause< / span > < / div >
< div class = "line" > < a name = "l00323" > < / a > < span class = "lineno" > 323< / span >   < span class = "comment" > // the algorithm to detect the singularity at the end when we stop before< / span > < / div >
< div class = "line" > < a name = "l00324" > < / a > < span class = "lineno" > 324< / span >   < span class = "comment" > // the end.< / span > < / div >
< div class = "line" > < a name = "l00325" > < / a > < span class = "lineno" > 325< / span >   < span class = "comment" > //< / span > < / div >
< div class = "line" > < a name = "l00326" > < / a > < span class = "lineno" > 326< / span >   < span class = "comment" > // TODO(user): We could detect the singularity at this point, but that< / span > < / div >
< div class = "line" > < a name = "l00327" > < / a > < span class = "lineno" > 327< / span >   < span class = "comment" > // may make the code more complex.< / span > < / div >
< div class = "line" > < a name = "l00328" > < / a > < span class = "lineno" > 328< / span >   < span class = "keywordflow" > if< / span > (residual_matrix_non_zero_.< a class = "code" href = "classoperations__research_1_1glop_1_1_matrix_non_zero_pattern.html#ac6fdf4b27f37d788a51ff50a47d0a3df" > ColDegree< / a > (< a class = "code" href = "markowitz_8cc.html#aa9d6c98fdf8d89b0e2321fda02adc82c" > col< / a > ) != 1) < span class = "keywordflow" > continue< / span > ;< / div >
< div class = "line" > < a name = "l00329" > < / a > < span class = "lineno" > 329< / span >   < / div >
< div class = "line" > < a name = "l00330" > < / a > < span class = "lineno" > 330< / span >   < span class = "comment" > // ComputeColumn() is not used as long as only singleton columns of the< / span > < / div >
< div class = "line" > < a name = "l00331" > < / a > < span class = "lineno" > 331< / span >   < span class = "comment" > // residual matrix are used. See the other condition in< / span > < / div >
< div class = "line" > < a name = "l00332" > < / a > < span class = "lineno" > 332< / span >   < span class = "comment" > // ComputeRowAndColumnPermutation().< / span > < / div >
< div class = "line" > < a name = "l00333" > < / a > < span class = "lineno" > 333< / span >   < span class = "keywordflow" > if< / span > (contains_only_singleton_columns_) {< / div >
< div class = "line" > < a name = "l00334" > < / a > < span class = "lineno" > 334< / span >   *pivot_col = < a class = "code" href = "markowitz_8cc.html#aa9d6c98fdf8d89b0e2321fda02adc82c" > col< / a > ;< / div >
< div class = "line" > < a name = "l00335" > < / a > < span class = "lineno" > 335< / span >   < span class = "keywordflow" > for< / span > (< span class = "keyword" > const< / span > < a class = "code" href = "classoperations__research_1_1glop_1_1_sparse_vector.html#ab38326ea6cb6187267665dd8b2748f3d" > SparseColumn::Entry< / a > e : basis_matrix_-> < a class = "code" href = "classoperations__research_1_1glop_1_1_compact_sparse_matrix_view.html#a6c2cb025b83ee5d5365eb0b419a0298c" > column< / a > (< a class = "code" href = "markowitz_8cc.html#aa9d6c98fdf8d89b0e2321fda02adc82c" > col< / a > )) {< / div >
< div class = "line" > < a name = "l00336" > < / a > < span class = "lineno" > 336< / span >   < span class = "keywordflow" > if< / span > (row_perm[e.row()] == < a class = "code" href = "namespaceoperations__research_1_1glop.html#a31ee82f6ef05c3da492c0376f910d015" > kInvalidRow< / a > ) {< / div >
< div class = "line" > < a name = "l00337" > < / a > < span class = "lineno" > 337< / span >   *pivot_row = e.row();< / div >
< div class = "line" > < a name = "l00338" > < / a > < span class = "lineno" > 338< / span >   *pivot_coefficient = e.coefficient();< / div >
< div class = "line" > < a name = "l00339" > < / a > < span class = "lineno" > 339< / span >   < span class = "keywordflow" > break< / span > ;< / div >
< div class = "line" > < a name = "l00340" > < / a > < span class = "lineno" > 340< / span >   }< / div >
< div class = "line" > < a name = "l00341" > < / a > < span class = "lineno" > 341< / span >   }< / div >
< div class = "line" > < a name = "l00342" > < / a > < span class = "lineno" > 342< / span >   < span class = "keywordflow" > return< / span > 0;< / div >
< div class = "line" > < a name = "l00343" > < / a > < span class = "lineno" > 343< / span >   }< / div >
< div class = "line" > < a name = "l00344" > < / a > < span class = "lineno" > 344< / span >   < span class = "keyword" > const< / span > SparseColumn& column = ComputeColumn(row_perm, < a class = "code" href = "markowitz_8cc.html#aa9d6c98fdf8d89b0e2321fda02adc82c" > col< / a > );< / div >
< div class = "line" > < a name = "l00345" > < / a > < span class = "lineno" > 345< / span >   < span class = "keywordflow" > if< / span > (column.IsEmpty()) < span class = "keywordflow" > continue< / span > ;< / div >
< div class = "line" > < a name = "l00346" > < / a > < span class = "lineno" > 346< / span >   *pivot_col = < a class = "code" href = "markowitz_8cc.html#aa9d6c98fdf8d89b0e2321fda02adc82c" > col< / a > ;< / div >
< div class = "line" > < a name = "l00347" > < / a > < span class = "lineno" > 347< / span >   *pivot_row = column.GetFirstRow();< / div >
< div class = "line" > < a name = "l00348" > < / a > < span class = "lineno" > 348< / span >   *pivot_coefficient = column.GetFirstCoefficient();< / div >
< div class = "line" > < a name = "l00349" > < / a > < span class = "lineno" > 349< / span >   < span class = "keywordflow" > return< / span > 0;< / div >
< div class = "line" > < a name = "l00350" > < / a > < span class = "lineno" > 350< / span >   }< / div >
< div class = "line" > < a name = "l00351" > < / a > < span class = "lineno" > 351< / span >   contains_only_singleton_columns_ = < span class = "keyword" > false< / span > ;< / div >
< div class = "line" > < a name = "l00352" > < / a > < span class = "lineno" > 352< / span >   < / div >
< div class = "line" > < a name = "l00353" > < / a > < span class = "lineno" > 353< / span >   < span class = "comment" > // Fast track for singleton rows. Note that this is actually more than a fast< / span > < / div >
< div class = "line" > < a name = "l00354" > < / a > < span class = "lineno" > 354< / span >   < span class = "comment" > // track because of the Zlatev heuristic. Such rows may not be processed as< / span > < / div >
< div class = "line" > < a name = "l00355" > < / a > < span class = "lineno" > 355< / span >   < span class = "comment" > // soon as possible otherwise, resulting in more fill-in.< / span > < / div >
< div class = "line" > < a name = "l00356" > < / a > < span class = "lineno" > 356< / span >   < span class = "keywordflow" > while< / span > (!singleton_row_.empty()) {< / div >
< div class = "line" > < a name = "l00357" > < / a > < span class = "lineno" > 357< / span >   < span class = "keyword" > const< / span > RowIndex < a class = "code" href = "markowitz_8cc.html#aea35f36ba98d5bbd8d033382f50c9e52" > row< / a > = singleton_row_.back();< / div >
< div class = "line" > < a name = "l00358" > < / a > < span class = "lineno" > 358< / span >   singleton_row_.pop_back();< / div >
< div class = "line" > < a name = "l00359" > < / a > < span class = "lineno" > 359< / span >   < / div >
< div class = "line" > < a name = "l00360" > < / a > < span class = "lineno" > 360< / span >   < span class = "comment" > // A singleton row could have been processed when processing a singleton< / span > < / div >
< div class = "line" > < a name = "l00361" > < / a > < span class = "lineno" > 361< / span >   < span class = "comment" > // column. Skip if this is the case.< / span > < / div >
< div class = "line" > < a name = "l00362" > < / a > < span class = "lineno" > 362< / span >   < span class = "keywordflow" > if< / span > (row_perm[< a class = "code" href = "markowitz_8cc.html#aea35f36ba98d5bbd8d033382f50c9e52" > row< / a > ] != < a class = "code" href = "namespaceoperations__research_1_1glop.html#a31ee82f6ef05c3da492c0376f910d015" > kInvalidRow< / a > ) < span class = "keywordflow" > continue< / span > ;< / div >
< div class = "line" > < a name = "l00363" > < / a > < span class = "lineno" > 363< / span >   < / div >
< div class = "line" > < a name = "l00364" > < / a > < span class = "lineno" > 364< / span >   < span class = "comment" > // This shows that the matrix is singular, see comment above for the same< / span > < / div >
< div class = "line" > < a name = "l00365" > < / a > < span class = "lineno" > 365< / span >   < span class = "comment" > // case when processing singleton columns.< / span > < / div >
< div class = "line" > < a name = "l00366" > < / a > < span class = "lineno" > 366< / span >   < span class = "keywordflow" > if< / span > (residual_matrix_non_zero_.< a class = "code" href = "classoperations__research_1_1glop_1_1_matrix_non_zero_pattern.html#a44badccd63c183b774ba7bfb005aac9f" > RowDegree< / a > (< a class = "code" href = "markowitz_8cc.html#aea35f36ba98d5bbd8d033382f50c9e52" > row< / a > ) != 1) < span class = "keywordflow" > continue< / span > ;< / div >
< div class = "line" > < a name = "l00367" > < / a > < span class = "lineno" > 367< / span >   < span class = "keyword" > const< / span > ColIndex < a class = "code" href = "markowitz_8cc.html#aa9d6c98fdf8d89b0e2321fda02adc82c" > col< / a > =< / div >
< div class = "line" > < a name = "l00368" > < / a > < span class = "lineno" > 368< / span >   residual_matrix_non_zero_.< a class = "code" href = "classoperations__research_1_1glop_1_1_matrix_non_zero_pattern.html#af14468b811c1218ef477ccbd170e6f8d" > GetFirstNonDeletedColumnFromRow< / a > (< a class = "code" href = "markowitz_8cc.html#aea35f36ba98d5bbd8d033382f50c9e52" > row< / a > );< / div >
< div class = "line" > < a name = "l00369" > < / a > < span class = "lineno" > 369< / span >   < span class = "keywordflow" > if< / span > (< a class = "code" href = "markowitz_8cc.html#aa9d6c98fdf8d89b0e2321fda02adc82c" > col< / a > == < a class = "code" href = "namespaceoperations__research_1_1glop.html#afb755b7934d8679476e2f05a89739bcd" > kInvalidCol< / a > ) < span class = "keywordflow" > continue< / span > ;< / div >
< div class = "line" > < a name = "l00370" > < / a > < span class = "lineno" > 370< / span >   < span class = "keyword" > const< / span > SparseColumn& column = ComputeColumn(row_perm, < a class = "code" href = "markowitz_8cc.html#aa9d6c98fdf8d89b0e2321fda02adc82c" > col< / a > );< / div >
< div class = "line" > < a name = "l00371" > < / a > < span class = "lineno" > 371< / span >   < span class = "keywordflow" > if< / span > (column.IsEmpty()) < span class = "keywordflow" > continue< / span > ;< / div >
< div class = "line" > < a name = "l00372" > < / a > < span class = "lineno" > 372< / span >   < / div >
< div class = "line" > < a name = "l00373" > < / a > < span class = "lineno" > 373< / span >   *pivot_col = < a class = "code" href = "markowitz_8cc.html#aa9d6c98fdf8d89b0e2321fda02adc82c" > col< / a > ;< / div >
< div class = "line" > < a name = "l00374" > < / a > < span class = "lineno" > 374< / span >   *pivot_row = < a class = "code" href = "markowitz_8cc.html#aea35f36ba98d5bbd8d033382f50c9e52" > row< / a > ;< / div >
< div class = "line" > < a name = "l00375" > < / a > < span class = "lineno" > 375< / span >   *pivot_coefficient = column.LookUpCoefficient(< a class = "code" href = "markowitz_8cc.html#aea35f36ba98d5bbd8d033382f50c9e52" > row< / a > );< / div >
< div class = "line" > < a name = "l00376" > < / a > < span class = "lineno" > 376< / span >   < span class = "keywordflow" > return< / span > 0;< / div >
< div class = "line" > < a name = "l00377" > < / a > < span class = "lineno" > 377< / span >   }< / div >
< div class = "line" > < a name = "l00378" > < / a > < span class = "lineno" > 378< / span >   < / div >
< div class = "line" > < a name = "l00379" > < / a > < span class = "lineno" > 379< / span >   < span class = "comment" > // col_by_degree_ is not needed before we reach this point. Exploit this with< / span > < / div >
< div class = "line" > < a name = "l00380" > < / a > < span class = "lineno" > 380< / span >   < span class = "comment" > // a lazy initialization.< / span > < / div >
< div class = "line" > < a name = "l00381" > < / a > < span class = "lineno" > 381< / span >   < span class = "keywordflow" > if< / span > (!is_col_by_degree_initialized_) {< / div >
< div class = "line" > < a name = "l00382" > < / a > < span class = "lineno" > 382< / span >   is_col_by_degree_initialized_ = < span class = "keyword" > true< / span > ;< / div >
< div class = "line" > < a name = "l00383" > < / a > < span class = "lineno" > 383< / span >   < span class = "keyword" > const< / span > ColIndex num_cols = col_perm.size();< / div >
< div class = "line" > < a name = "l00384" > < / a > < span class = "lineno" > 384< / span >   col_by_degree_.< a class = "code" href = "classoperations__research_1_1glop_1_1_column_priority_queue.html#a026a7cba6cd132662dae0468f395d3cf" > Reset< / a > (row_perm.size().value(), num_cols);< / div >
< div class = "line" > < a name = "l00385" > < / a > < span class = "lineno" > 385< / span >   < span class = "keywordflow" > for< / span > (ColIndex < a class = "code" href = "markowitz_8cc.html#aa9d6c98fdf8d89b0e2321fda02adc82c" > col< / a > (0); < a class = "code" href = "markowitz_8cc.html#aa9d6c98fdf8d89b0e2321fda02adc82c" > col< / a > < num_cols; ++< a class = "code" href = "markowitz_8cc.html#aa9d6c98fdf8d89b0e2321fda02adc82c" > col< / a > ) {< / div >
< div class = "line" > < a name = "l00386" > < / a > < span class = "lineno" > 386< / span >   < span class = "keywordflow" > if< / span > (col_perm[< a class = "code" href = "markowitz_8cc.html#aa9d6c98fdf8d89b0e2321fda02adc82c" > col< / a > ] != < a class = "code" href = "namespaceoperations__research_1_1glop.html#afb755b7934d8679476e2f05a89739bcd" > kInvalidCol< / a > ) < span class = "keywordflow" > continue< / span > ;< / div >
< div class = "line" > < a name = "l00387" > < / a > < span class = "lineno" > 387< / span >   < span class = "keyword" > const< / span > < span class = "keywordtype" > int< / span > degree = residual_matrix_non_zero_.< a class = "code" href = "classoperations__research_1_1glop_1_1_matrix_non_zero_pattern.html#ac6fdf4b27f37d788a51ff50a47d0a3df" > ColDegree< / a > (< a class = "code" href = "markowitz_8cc.html#aa9d6c98fdf8d89b0e2321fda02adc82c" > col< / a > );< / div >
< div class = "line" > < a name = "l00388" > < / a > < span class = "lineno" > 388< / span >   < a class = "code" href = "base_2logging_8h.html#a46e69120fbd3b36e6960e096d23b66f0" > DCHECK_NE< / a > (degree, 1);< / div >
< div class = "line" > < a name = "l00389" > < / a > < span class = "lineno" > 389< / span >   UpdateDegree(< a class = "code" href = "markowitz_8cc.html#aa9d6c98fdf8d89b0e2321fda02adc82c" > col< / a > , degree);< / div >
< div class = "line" > < a name = "l00390" > < / a > < span class = "lineno" > 390< / span >   }< / div >
< div class = "line" > < a name = "l00391" > < / a > < span class = "lineno" > 391< / span >   }< / div >
< div class = "line" > < a name = "l00392" > < / a > < span class = "lineno" > 392< / span >   < / div >
< div class = "line" > < a name = "l00393" > < / a > < span class = "lineno" > 393< / span >   < span class = "comment" > // Note(user): we use int64_t since this is a product of two ints, moreover< / span > < / div >
< div class = "line" > < a name = "l00394" > < / a > < span class = "lineno" > 394< / span >   < span class = "comment" > // the ints should be relatively small, so that should be fine for a while.< / span > < / div >
< div class = "line" > < a name = "l00395" > < / a > < span class = "lineno" > 395< / span >   int64_t min_markowitz_number = < a class = "code" href = "alldiff__cst_8cc.html#a26e6db9bcc64b584051ecc28171ed11f" > std::numeric_limits< int64_t> ::max< / a > ();< / div >
< div class = "line" > < a name = "l00396" > < / a > < span class = "lineno" > 396< / span >   examined_col_.clear();< / div >
< div class = "line" > < a name = "l00397" > < / a > < span class = "lineno" > 397< / span >   < span class = "keyword" > const< / span > < span class = "keywordtype" > int< / span > num_columns_to_examine = parameters_.markowitz_zlatev_parameter();< / div >
< div class = "line" > < a name = "l00398" > < / a > < span class = "lineno" > 398< / span >   < span class = "keyword" > const< / span > < a class = "code" href = "namespaceoperations__research_1_1glop.html#a733947145e3e1631165b618b05c9ccb7" > Fractional< / a > threshold = parameters_.lu_factorization_pivot_threshold();< / div >
< div class = "line" > < a name = "l00399" > < / a > < span class = "lineno" > 399< / span >   < span class = "keywordflow" > while< / span > (examined_col_.size() < num_columns_to_examine) {< / div >
< div class = "line" > < a name = "l00400" > < / a > < span class = "lineno" > 400< / span >   < span class = "keyword" > const< / span > ColIndex < a class = "code" href = "markowitz_8cc.html#aa9d6c98fdf8d89b0e2321fda02adc82c" > col< / a > = col_by_degree_.< a class = "code" href = "classoperations__research_1_1glop_1_1_column_priority_queue.html#a49e7d07685ccac64b842fa1b1cc9a3cc" > Pop< / a > ();< / div >
< div class = "line" > < a name = "l00401" > < / a > < span class = "lineno" > 401< / span >   < span class = "keywordflow" > if< / span > (< a class = "code" href = "markowitz_8cc.html#aa9d6c98fdf8d89b0e2321fda02adc82c" > col< / a > == < a class = "code" href = "namespaceoperations__research_1_1glop.html#afb755b7934d8679476e2f05a89739bcd" > kInvalidCol< / a > ) < span class = "keywordflow" > break< / span > ;< / div >
< div class = "line" > < a name = "l00402" > < / a > < span class = "lineno" > 402< / span >   < span class = "keywordflow" > if< / span > (col_perm[< a class = "code" href = "markowitz_8cc.html#aa9d6c98fdf8d89b0e2321fda02adc82c" > col< / a > ] != < a class = "code" href = "namespaceoperations__research_1_1glop.html#afb755b7934d8679476e2f05a89739bcd" > kInvalidCol< / a > ) < span class = "keywordflow" > continue< / span > ;< / div >
< div class = "line" > < a name = "l00403" > < / a > < span class = "lineno" > 403< / span >   < span class = "keyword" > const< / span > < span class = "keywordtype" > int< / span > col_degree = residual_matrix_non_zero_.< a class = "code" href = "classoperations__research_1_1glop_1_1_matrix_non_zero_pattern.html#ac6fdf4b27f37d788a51ff50a47d0a3df" > ColDegree< / a > (< a class = "code" href = "markowitz_8cc.html#aa9d6c98fdf8d89b0e2321fda02adc82c" > col< / a > );< / div >
< div class = "line" > < a name = "l00404" > < / a > < span class = "lineno" > 404< / span >   examined_col_.push_back(< a class = "code" href = "markowitz_8cc.html#aa9d6c98fdf8d89b0e2321fda02adc82c" > col< / a > );< / div >
2020-09-02 09:42:51 +02:00
< div class = "line" > < a name = "l00405" > < / a > < span class = "lineno" > 405< / span >   < / div >
2021-04-27 23:00:03 +02:00
< div class = "line" > < a name = "l00406" > < / a > < span class = "lineno" > 406< / span >   < span class = "comment" > // Because of the two singleton special cases at the beginning of this< / span > < / div >
< div class = "line" > < a name = "l00407" > < / a > < span class = "lineno" > 407< / span >   < span class = "comment" > // function and because we process columns by increasing degree, we can< / span > < / div >
< div class = "line" > < a name = "l00408" > < / a > < span class = "lineno" > 408< / span >   < span class = "comment" > // derive a lower bound on the best markowitz number we can get by exploring< / span > < / div >
< div class = "line" > < a name = "l00409" > < / a > < span class = "lineno" > 409< / span >   < span class = "comment" > // this column. If we cannot beat this number, we can stop here.< / span > < / div >
< div class = "line" > < a name = "l00410" > < / a > < span class = "lineno" > 410< / span >   < span class = "comment" > //< / span > < / div >
< div class = "line" > < a name = "l00411" > < / a > < span class = "lineno" > 411< / span >   < span class = "comment" > // Note(user): we still process extra column if we can meet the lower bound< / span > < / div >
< div class = "line" > < a name = "l00412" > < / a > < span class = "lineno" > 412< / span >   < span class = "comment" > // to eventually have a better pivot.< / span > < / div >
< div class = "line" > < a name = "l00413" > < / a > < span class = "lineno" > 413< / span >   < span class = "comment" > //< / span > < / div >
< div class = "line" > < a name = "l00414" > < / a > < span class = "lineno" > 414< / span >   < span class = "comment" > // Todo(user): keep the minimum row degree to have a better bound?< / span > < / div >
< div class = "line" > < a name = "l00415" > < / a > < span class = "lineno" > 415< / span >   < span class = "keyword" > const< / span > int64_t markowitz_lower_bound = col_degree - 1;< / div >
< div class = "line" > < a name = "l00416" > < / a > < span class = "lineno" > 416< / span >   < span class = "keywordflow" > if< / span > (min_markowitz_number < markowitz_lower_bound) < span class = "keywordflow" > break< / span > ;< / div >
< div class = "line" > < a name = "l00417" > < / a > < span class = "lineno" > 417< / span >   < / div >
< div class = "line" > < a name = "l00418" > < / a > < span class = "lineno" > 418< / span >   < span class = "comment" > // TODO(user): col_degree (which is the same as column.num_entries()) is< / span > < / div >
< div class = "line" > < a name = "l00419" > < / a > < span class = "lineno" > 419< / span >   < span class = "comment" > // actually an upper bound on the number of non-zeros since there may be< / span > < / div >
< div class = "line" > < a name = "l00420" > < / a > < span class = "lineno" > 420< / span >   < span class = "comment" > // numerical cancellations. Exploit this here? Note that it is already used< / span > < / div >
< div class = "line" > < a name = "l00421" > < / a > < span class = "lineno" > 421< / span >   < span class = "comment" > // when we update the non_zero pattern of the residual matrix.< / span > < / div >
< div class = "line" > < a name = "l00422" > < / a > < span class = "lineno" > 422< / span >   < span class = "keyword" > const< / span > SparseColumn& column = ComputeColumn(row_perm, < a class = "code" href = "markowitz_8cc.html#aa9d6c98fdf8d89b0e2321fda02adc82c" > col< / a > );< / div >
< div class = "line" > < a name = "l00423" > < / a > < span class = "lineno" > 423< / span >   < a class = "code" href = "base_2logging_8h.html#ae89df3243bbb8341130c7b3f44145ea0" > DCHECK_EQ< / a > (column.num_entries(), col_degree);< / div >
< div class = "line" > < a name = "l00424" > < / a > < span class = "lineno" > 424< / span >   < / div >
< div class = "line" > < a name = "l00425" > < / a > < span class = "lineno" > 425< / span >   < a class = "code" href = "namespaceoperations__research_1_1glop.html#a733947145e3e1631165b618b05c9ccb7" > Fractional< / a > max_magnitude = 0.0;< / div >
< div class = "line" > < a name = "l00426" > < / a > < span class = "lineno" > 426< / span >   < span class = "keywordflow" > for< / span > (< span class = "keyword" > const< / span > < a class = "code" href = "classoperations__research_1_1glop_1_1_sparse_vector.html#ab38326ea6cb6187267665dd8b2748f3d" > SparseColumn::Entry< / a > e : column) {< / div >
< div class = "line" > < a name = "l00427" > < / a > < span class = "lineno" > 427< / span >   max_magnitude = < a class = "code" href = "alldiff__cst_8cc.html#a26e6db9bcc64b584051ecc28171ed11f" > std::max< / a > (max_magnitude, std::abs(e.coefficient()));< / div >
< div class = "line" > < a name = "l00428" > < / a > < span class = "lineno" > 428< / span >   }< / div >
< div class = "line" > < a name = "l00429" > < / a > < span class = "lineno" > 429< / span >   < span class = "keywordflow" > if< / span > (max_magnitude == 0.0) {< / div >
< div class = "line" > < a name = "l00430" > < / a > < span class = "lineno" > 430< / span >   < span class = "comment" > // All symbolic non-zero entries have been cancelled!< / span > < / div >
< div class = "line" > < a name = "l00431" > < / a > < span class = "lineno" > 431< / span >   < span class = "comment" > // The matrix is singular, but we continue with the other columns.< / span > < / div >
< div class = "line" > < a name = "l00432" > < / a > < span class = "lineno" > 432< / span >   examined_col_.pop_back();< / div >
< div class = "line" > < a name = "l00433" > < / a > < span class = "lineno" > 433< / span >   < span class = "keywordflow" > continue< / span > ;< / div >
< div class = "line" > < a name = "l00434" > < / a > < span class = "lineno" > 434< / span >   }< / div >
< div class = "line" > < a name = "l00435" > < / a > < span class = "lineno" > 435< / span >   < / div >
< div class = "line" > < a name = "l00436" > < / a > < span class = "lineno" > 436< / span >   < span class = "keyword" > const< / span > < a class = "code" href = "namespaceoperations__research_1_1glop.html#a733947145e3e1631165b618b05c9ccb7" > Fractional< / a > skip_threshold = threshold * max_magnitude;< / div >
< div class = "line" > < a name = "l00437" > < / a > < span class = "lineno" > 437< / span >   < span class = "keywordflow" > for< / span > (< span class = "keyword" > const< / span > < a class = "code" href = "classoperations__research_1_1glop_1_1_sparse_vector.html#ab38326ea6cb6187267665dd8b2748f3d" > SparseColumn::Entry< / a > e : column) {< / div >
< div class = "line" > < a name = "l00438" > < / a > < span class = "lineno" > 438< / span >   < span class = "keyword" > const< / span > < a class = "code" href = "namespaceoperations__research_1_1glop.html#a733947145e3e1631165b618b05c9ccb7" > Fractional< / a > magnitude = std::abs(e.coefficient());< / div >
< div class = "line" > < a name = "l00439" > < / a > < span class = "lineno" > 439< / span >   < span class = "keywordflow" > if< / span > (magnitude < skip_threshold) < span class = "keywordflow" > continue< / span > ;< / div >
< div class = "line" > < a name = "l00440" > < / a > < span class = "lineno" > 440< / span >   < / div >
< div class = "line" > < a name = "l00441" > < / a > < span class = "lineno" > 441< / span >   < span class = "keyword" > const< / span > < span class = "keywordtype" > int< / span > row_degree = residual_matrix_non_zero_.< a class = "code" href = "classoperations__research_1_1glop_1_1_matrix_non_zero_pattern.html#a44badccd63c183b774ba7bfb005aac9f" > RowDegree< / a > (e.row());< / div >
< div class = "line" > < a name = "l00442" > < / a > < span class = "lineno" > 442< / span >   < span class = "keyword" > const< / span > int64_t markowitz_number = (col_degree - 1) * (row_degree - 1);< / div >
< div class = "line" > < a name = "l00443" > < / a > < span class = "lineno" > 443< / span >   < a class = "code" href = "base_2logging_8h.html#a46e69120fbd3b36e6960e096d23b66f0" > DCHECK_NE< / a > (markowitz_number, 0);< / div >
< div class = "line" > < a name = "l00444" > < / a > < span class = "lineno" > 444< / span >   < span class = "keywordflow" > if< / span > (markowitz_number < min_markowitz_number ||< / div >
< div class = "line" > < a name = "l00445" > < / a > < span class = "lineno" > 445< / span >   ((markowitz_number == min_markowitz_number) & & < / div >
< div class = "line" > < a name = "l00446" > < / a > < span class = "lineno" > 446< / span >   magnitude > std::abs(*pivot_coefficient))) {< / div >
< div class = "line" > < a name = "l00447" > < / a > < span class = "lineno" > 447< / span >   min_markowitz_number = markowitz_number;< / div >
< div class = "line" > < a name = "l00448" > < / a > < span class = "lineno" > 448< / span >   *pivot_col = < a class = "code" href = "markowitz_8cc.html#aa9d6c98fdf8d89b0e2321fda02adc82c" > col< / a > ;< / div >
< div class = "line" > < a name = "l00449" > < / a > < span class = "lineno" > 449< / span >   *pivot_row = e.row();< / div >
< div class = "line" > < a name = "l00450" > < / a > < span class = "lineno" > 450< / span >   *pivot_coefficient = e.coefficient();< / div >
< div class = "line" > < a name = "l00451" > < / a > < span class = "lineno" > 451< / span >   < / div >
< div class = "line" > < a name = "l00452" > < / a > < span class = "lineno" > 452< / span >   < span class = "comment" > // Note(user): We could abort early here if the markowitz_lower_bound is< / span > < / div >
< div class = "line" > < a name = "l00453" > < / a > < span class = "lineno" > 453< / span >   < span class = "comment" > // reached, but finishing to loop over this column is fast and may lead< / span > < / div >
< div class = "line" > < a name = "l00454" > < / a > < span class = "lineno" > 454< / span >   < span class = "comment" > // to a pivot with a greater magnitude (i.e. a more robust< / span > < / div >
< div class = "line" > < a name = "l00455" > < / a > < span class = "lineno" > 455< / span >   < span class = "comment" > // factorization).< / span > < / div >
< div class = "line" > < a name = "l00456" > < / a > < span class = "lineno" > 456< / span >   }< / div >
< div class = "line" > < a name = "l00457" > < / a > < span class = "lineno" > 457< / span >   }< / div >
< div class = "line" > < a name = "l00458" > < / a > < span class = "lineno" > 458< / span >   < a class = "code" href = "base_2logging_8h.html#a46e69120fbd3b36e6960e096d23b66f0" > DCHECK_NE< / a > (min_markowitz_number, 0);< / div >
< div class = "line" > < a name = "l00459" > < / a > < span class = "lineno" > 459< / span >   < a class = "code" href = "base_2logging_8h.html#aae2dc65d9ea248d54bf39daa986dd295" > DCHECK_GE< / a > (min_markowitz_number, markowitz_lower_bound);< / div >
< div class = "line" > < a name = "l00460" > < / a > < span class = "lineno" > 460< / span >   }< / div >
< div class = "line" > < a name = "l00461" > < / a > < span class = "lineno" > 461< / span >   < / div >
< div class = "line" > < a name = "l00462" > < / a > < span class = "lineno" > 462< / span >   < span class = "comment" > // Push back the columns that we just looked at in the queue since they< / span > < / div >
< div class = "line" > < a name = "l00463" > < / a > < span class = "lineno" > 463< / span >   < span class = "comment" > // are candidates for the next pivot.< / span > < / div >
< div class = "line" > < a name = "l00464" > < / a > < span class = "lineno" > 464< / span >   < span class = "comment" > //< / span > < / div >
< div class = "line" > < a name = "l00465" > < / a > < span class = "lineno" > 465< / span >   < span class = "comment" > // TODO(user): Do that after having updated the matrix? Rationale:< / span > < / div >
< div class = "line" > < a name = "l00466" > < / a > < span class = "lineno" > 466< / span >   < span class = "comment" > // - col_by_degree_ is LIFO, so that may save work in ComputeColumn() by< / span > < / div >
< div class = "line" > < a name = "l00467" > < / a > < span class = "lineno" > 467< / span >   < span class = "comment" > // calling it again on the same columns.< / span > < / div >
< div class = "line" > < a name = "l00468" > < / a > < span class = "lineno" > 468< / span >   < span class = "comment" > // - Maybe the earliest low-degree columns have a better precision? This< / span > < / div >
< div class = "line" > < a name = "l00469" > < / a > < span class = "lineno" > 469< / span >   < span class = "comment" > // actually depends on the number of operations so is not really true.< / span > < / div >
< div class = "line" > < a name = "l00470" > < / a > < span class = "lineno" > 470< / span >   < span class = "comment" > // - Maybe picking the column randomly from the ones with lowest degree would< / span > < / div >
< div class = "line" > < a name = "l00471" > < / a > < span class = "lineno" > 471< / span >   < span class = "comment" > // help having more diversity from one factorization to the next. This is< / span > < / div >
< div class = "line" > < a name = "l00472" > < / a > < span class = "lineno" > 472< / span >   < span class = "comment" > // for the case we do implement this TODO.< / span > < / div >
< div class = "line" > < a name = "l00473" > < / a > < span class = "lineno" > 473< / span >   < span class = "keywordflow" > for< / span > (< span class = "keyword" > const< / span > ColIndex < a class = "code" href = "markowitz_8cc.html#aa9d6c98fdf8d89b0e2321fda02adc82c" > col< / a > : examined_col_) {< / div >
< div class = "line" > < a name = "l00474" > < / a > < span class = "lineno" > 474< / span >   < span class = "keywordflow" > if< / span > (< a class = "code" href = "markowitz_8cc.html#aa9d6c98fdf8d89b0e2321fda02adc82c" > col< / a > != *pivot_col) {< / div >
< div class = "line" > < a name = "l00475" > < / a > < span class = "lineno" > 475< / span >   < span class = "keyword" > const< / span > < span class = "keywordtype" > int< / span > degree = residual_matrix_non_zero_.< a class = "code" href = "classoperations__research_1_1glop_1_1_matrix_non_zero_pattern.html#ac6fdf4b27f37d788a51ff50a47d0a3df" > ColDegree< / a > (< a class = "code" href = "markowitz_8cc.html#aa9d6c98fdf8d89b0e2321fda02adc82c" > col< / a > );< / div >
< div class = "line" > < a name = "l00476" > < / a > < span class = "lineno" > 476< / span >   col_by_degree_.< a class = "code" href = "classoperations__research_1_1glop_1_1_column_priority_queue.html#a0a601ea6856d6a6162a705fe6ab48cbc" > PushOrAdjust< / a > (< a class = "code" href = "markowitz_8cc.html#aa9d6c98fdf8d89b0e2321fda02adc82c" > col< / a > , degree);< / div >
< div class = "line" > < a name = "l00477" > < / a > < span class = "lineno" > 477< / span >   }< / div >
< div class = "line" > < a name = "l00478" > < / a > < span class = "lineno" > 478< / span >   }< / div >
< div class = "line" > < a name = "l00479" > < / a > < span class = "lineno" > 479< / span >   < span class = "keywordflow" > return< / span > min_markowitz_number;< / div >
< div class = "line" > < a name = "l00480" > < / a > < span class = "lineno" > 480< / span >   }< / div >
< div class = "line" > < a name = "l00481" > < / a > < span class = "lineno" > 481< / span >   < / div >
< div class = "line" > < a name = "l00482" > < / a > < span class = "lineno" > 482< / span >   < span class = "keywordtype" > void< / span > Markowitz::UpdateDegree(ColIndex < a class = "code" href = "markowitz_8cc.html#aa9d6c98fdf8d89b0e2321fda02adc82c" > col< / a > , < span class = "keywordtype" > int< / span > degree) {< / div >
< div class = "line" > < a name = "l00483" > < / a > < span class = "lineno" > 483< / span >   < a class = "code" href = "base_2logging_8h.html#ae17f8119c108cf3070bad3449c7e0006" > DCHECK< / a > (is_col_by_degree_initialized_);< / div >
< div class = "line" > < a name = "l00484" > < / a > < span class = "lineno" > 484< / span >   < / div >
< div class = "line" > < a name = "l00485" > < / a > < span class = "lineno" > 485< / span >   < span class = "comment" > // Separating the degree one columns work because we always select such< / span > < / div >
< div class = "line" > < a name = "l00486" > < / a > < span class = "lineno" > 486< / span >   < span class = "comment" > // a column first and pivoting by such columns does not affect the degree of< / span > < / div >
< div class = "line" > < a name = "l00487" > < / a > < span class = "lineno" > 487< / span >   < span class = "comment" > // any other singleton columns (except if the matrix is not inversible).< / span > < / div >
< div class = "line" > < a name = "l00488" > < / a > < span class = "lineno" > 488< / span >   < span class = "comment" > //< / span > < / div >
< div class = "line" > < a name = "l00489" > < / a > < span class = "lineno" > 489< / span >   < span class = "comment" > // Note that using this optimization does change the order in which the< / span > < / div >
< div class = "line" > < a name = "l00490" > < / a > < span class = "lineno" > 490< / span >   < span class = "comment" > // degree one columns are taken compared to pushing them in the queue.< / span > < / div >
< div class = "line" > < a name = "l00491" > < / a > < span class = "lineno" > 491< / span >   < span class = "keywordflow" > if< / span > (degree == 1) {< / div >
< div class = "line" > < a name = "l00492" > < / a > < span class = "lineno" > 492< / span >   < span class = "comment" > // Note that there is no need to remove this column from col_by_degree_< / span > < / div >
< div class = "line" > < a name = "l00493" > < / a > < span class = "lineno" > 493< / span >   < span class = "comment" > // because it will be processed before col_by_degree_.Pop() is called and< / span > < / div >
< div class = "line" > < a name = "l00494" > < / a > < span class = "lineno" > 494< / span >   < span class = "comment" > // then just be ignored.< / span > < / div >
< div class = "line" > < a name = "l00495" > < / a > < span class = "lineno" > 495< / span >   singleton_column_.push_back(< a class = "code" href = "markowitz_8cc.html#aa9d6c98fdf8d89b0e2321fda02adc82c" > col< / a > );< / div >
< div class = "line" > < a name = "l00496" > < / a > < span class = "lineno" > 496< / span >   } < span class = "keywordflow" > else< / span > {< / div >
< div class = "line" > < a name = "l00497" > < / a > < span class = "lineno" > 497< / span >   col_by_degree_.< a class = "code" href = "classoperations__research_1_1glop_1_1_column_priority_queue.html#a0a601ea6856d6a6162a705fe6ab48cbc" > PushOrAdjust< / a > (< a class = "code" href = "markowitz_8cc.html#aa9d6c98fdf8d89b0e2321fda02adc82c" > col< / a > , degree);< / div >
< div class = "line" > < a name = "l00498" > < / a > < span class = "lineno" > 498< / span >   }< / div >
< div class = "line" > < a name = "l00499" > < / a > < span class = "lineno" > 499< / span >   }< / div >
< div class = "line" > < a name = "l00500" > < / a > < span class = "lineno" > 500< / span >   < / div >
< div class = "line" > < a name = "l00501" > < / a > < span class = "lineno" > 501< / span >   < span class = "keywordtype" > void< / span > Markowitz::RemoveRowFromResidualMatrix(RowIndex pivot_row,< / div >
< div class = "line" > < a name = "l00502" > < / a > < span class = "lineno" > 502< / span >   ColIndex pivot_col) {< / div >
< div class = "line" > < a name = "l00503" > < / a > < span class = "lineno" > 503< / span >   < a class = "code" href = "stats_8h.html#a9995704aaaf45fc21e08c847551a8d04" > SCOPED_TIME_STAT< / a > (& stats_);< / div >
< div class = "line" > < a name = "l00504" > < / a > < span class = "lineno" > 504< / span >   < span class = "comment" > // Note that instead of calling:< / span > < / div >
< div class = "line" > < a name = "l00505" > < / a > < span class = "lineno" > 505< / span >   < span class = "comment" > // residual_matrix_non_zero_.RemoveDeletedColumnsFromRow(pivot_row);< / span > < / div >
< div class = "line" > < a name = "l00506" > < / a > < span class = "lineno" > 506< / span >   < span class = "comment" > // it is a bit faster to test each position with IsColumnDeleted() since we< / span > < / div >
< div class = "line" > < a name = "l00507" > < / a > < span class = "lineno" > 507< / span >   < span class = "comment" > // will not need the pivot row anymore.< / span > < / div >
< div class = "line" > < a name = "l00508" > < / a > < span class = "lineno" > 508< / span >   < span class = "keywordflow" > if< / span > (is_col_by_degree_initialized_) {< / div >
< div class = "line" > < a name = "l00509" > < / a > < span class = "lineno" > 509< / span >   < span class = "keywordflow" > for< / span > (< span class = "keyword" > const< / span > ColIndex < a class = "code" href = "markowitz_8cc.html#aa9d6c98fdf8d89b0e2321fda02adc82c" > col< / a > : residual_matrix_non_zero_.< a class = "code" href = "classoperations__research_1_1glop_1_1_matrix_non_zero_pattern.html#a1ef38cd7e00a3d31093afe05ef6e9b8a" > RowNonZero< / a > (pivot_row)) {< / div >
< div class = "line" > < a name = "l00510" > < / a > < span class = "lineno" > 510< / span >   < span class = "keywordflow" > if< / span > (residual_matrix_non_zero_.< a class = "code" href = "classoperations__research_1_1glop_1_1_matrix_non_zero_pattern.html#a1f59bbe4cda31ad0ee8a91c4bd57e945" > IsColumnDeleted< / a > (< a class = "code" href = "markowitz_8cc.html#aa9d6c98fdf8d89b0e2321fda02adc82c" > col< / a > )) < span class = "keywordflow" > continue< / span > ;< / div >
< div class = "line" > < a name = "l00511" > < / a > < span class = "lineno" > 511< / span >   UpdateDegree(< a class = "code" href = "markowitz_8cc.html#aa9d6c98fdf8d89b0e2321fda02adc82c" > col< / a > , residual_matrix_non_zero_.< a class = "code" href = "classoperations__research_1_1glop_1_1_matrix_non_zero_pattern.html#a25db8d6277cbd4811441929a1817dea0" > DecreaseColDegree< / a > (< a class = "code" href = "markowitz_8cc.html#aa9d6c98fdf8d89b0e2321fda02adc82c" > col< / a > ));< / div >
< div class = "line" > < a name = "l00512" > < / a > < span class = "lineno" > 512< / span >   }< / div >
< div class = "line" > < a name = "l00513" > < / a > < span class = "lineno" > 513< / span >   } < span class = "keywordflow" > else< / span > {< / div >
< div class = "line" > < a name = "l00514" > < / a > < span class = "lineno" > 514< / span >   < span class = "keywordflow" > for< / span > (< span class = "keyword" > const< / span > ColIndex < a class = "code" href = "markowitz_8cc.html#aa9d6c98fdf8d89b0e2321fda02adc82c" > col< / a > : residual_matrix_non_zero_.< a class = "code" href = "classoperations__research_1_1glop_1_1_matrix_non_zero_pattern.html#a1ef38cd7e00a3d31093afe05ef6e9b8a" > RowNonZero< / a > (pivot_row)) {< / div >
< div class = "line" > < a name = "l00515" > < / a > < span class = "lineno" > 515< / span >   < span class = "keywordflow" > if< / span > (residual_matrix_non_zero_.< a class = "code" href = "classoperations__research_1_1glop_1_1_matrix_non_zero_pattern.html#a1f59bbe4cda31ad0ee8a91c4bd57e945" > IsColumnDeleted< / a > (< a class = "code" href = "markowitz_8cc.html#aa9d6c98fdf8d89b0e2321fda02adc82c" > col< / a > )) < span class = "keywordflow" > continue< / span > ;< / div >
< div class = "line" > < a name = "l00516" > < / a > < span class = "lineno" > 516< / span >   < span class = "keywordflow" > if< / span > (residual_matrix_non_zero_.< a class = "code" href = "classoperations__research_1_1glop_1_1_matrix_non_zero_pattern.html#a25db8d6277cbd4811441929a1817dea0" > DecreaseColDegree< / a > (< a class = "code" href = "markowitz_8cc.html#aa9d6c98fdf8d89b0e2321fda02adc82c" > col< / a > ) == 1) {< / div >
< div class = "line" > < a name = "l00517" > < / a > < span class = "lineno" > 517< / span >   singleton_column_.push_back(< a class = "code" href = "markowitz_8cc.html#aa9d6c98fdf8d89b0e2321fda02adc82c" > col< / a > );< / div >
< div class = "line" > < a name = "l00518" > < / a > < span class = "lineno" > 518< / span >   }< / div >
< div class = "line" > < a name = "l00519" > < / a > < span class = "lineno" > 519< / span >   }< / div >
< div class = "line" > < a name = "l00520" > < / a > < span class = "lineno" > 520< / span >   }< / div >
< div class = "line" > < a name = "l00521" > < / a > < span class = "lineno" > 521< / span >   }< / div >
< div class = "line" > < a name = "l00522" > < / a > < span class = "lineno" > 522< / span >   < / div >
< div class = "line" > < a name = "l00523" > < / a > < span class = "lineno" > 523< / span >   < span class = "keywordtype" > void< / span > Markowitz::RemoveColumnFromResidualMatrix(RowIndex pivot_row,< / div >
< div class = "line" > < a name = "l00524" > < / a > < span class = "lineno" > 524< / span >   ColIndex pivot_col) {< / div >
< div class = "line" > < a name = "l00525" > < / a > < span class = "lineno" > 525< / span >   < a class = "code" href = "stats_8h.html#a9995704aaaf45fc21e08c847551a8d04" > SCOPED_TIME_STAT< / a > (& stats_);< / div >
< div class = "line" > < a name = "l00526" > < / a > < span class = "lineno" > 526< / span >   < span class = "comment" > // The entries of the pivot column are exactly the symbolic non-zeros of the< / span > < / div >
< div class = "line" > < a name = "l00527" > < / a > < span class = "lineno" > 527< / span >   < span class = "comment" > // residual matrix, since we didn' t remove the entries with a coefficient of< / span > < / div >
< div class = "line" > < a name = "l00528" > < / a > < span class = "lineno" > 528< / span >   < span class = "comment" > // zero during PermutedLowerSparseSolve().< / span > < / div >
< div class = "line" > < a name = "l00529" > < / a > < span class = "lineno" > 529< / span >   < span class = "comment" > //< / span > < / div >
< div class = "line" > < a name = "l00530" > < / a > < span class = "lineno" > 530< / span >   < span class = "comment" > // Note that it is okay to decrease the degree of a previous pivot row since< / span > < / div >
< div class = "line" > < a name = "l00531" > < / a > < span class = "lineno" > 531< / span >   < span class = "comment" > // it was set to 0 and will never trigger this test. Even if it triggers it,< / span > < / div >
< div class = "line" > < a name = "l00532" > < / a > < span class = "lineno" > 532< / span >   < span class = "comment" > // we just ignore such singleton rows in FindPivot().< / span > < / div >
< div class = "line" > < a name = "l00533" > < / a > < span class = "lineno" > 533< / span >   < span class = "keywordflow" > for< / span > (< span class = "keyword" > const< / span > < a class = "code" href = "classoperations__research_1_1glop_1_1_sparse_vector.html#ab38326ea6cb6187267665dd8b2748f3d" > SparseColumn::Entry< / a > e : permuted_lower_.< a class = "code" href = "classoperations__research_1_1glop_1_1_sparse_matrix_with_reusable_column_memory.html#a7273cc492a51a1c5d45c620b32fce502" > column< / a > (pivot_col)) {< / div >
< div class = "line" > < a name = "l00534" > < / a > < span class = "lineno" > 534< / span >   < span class = "keyword" > const< / span > RowIndex < a class = "code" href = "markowitz_8cc.html#aea35f36ba98d5bbd8d033382f50c9e52" > row< / a > = e.row();< / div >
< div class = "line" > < a name = "l00535" > < / a > < span class = "lineno" > 535< / span >   < span class = "keywordflow" > if< / span > (residual_matrix_non_zero_.< a class = "code" href = "classoperations__research_1_1glop_1_1_matrix_non_zero_pattern.html#aa844f860b76cad2a3682e7d9b927195c" > DecreaseRowDegree< / a > (< a class = "code" href = "markowitz_8cc.html#aea35f36ba98d5bbd8d033382f50c9e52" > row< / a > ) == 1) {< / div >
< div class = "line" > < a name = "l00536" > < / a > < span class = "lineno" > 536< / span >   singleton_row_.push_back(< a class = "code" href = "markowitz_8cc.html#aea35f36ba98d5bbd8d033382f50c9e52" > row< / a > );< / div >
< div class = "line" > < a name = "l00537" > < / a > < span class = "lineno" > 537< / span >   }< / div >
< div class = "line" > < a name = "l00538" > < / a > < span class = "lineno" > 538< / span >   }< / div >
2020-09-02 09:42:51 +02:00
< div class = "line" > < a name = "l00539" > < / a > < span class = "lineno" > 539< / span >   }< / div >
< div class = "line" > < a name = "l00540" > < / a > < span class = "lineno" > 540< / span >   < / div >
2021-04-27 23:00:03 +02:00
< div class = "line" > < a name = "l00541" > < / a > < span class = "lineno" > 541< / span >   < span class = "keywordtype" > void< / span > Markowitz::UpdateResidualMatrix(RowIndex pivot_row, ColIndex pivot_col) {< / div >
< div class = "line" > < a name = "l00542" > < / a > < span class = "lineno" > 542< / span >   < a class = "code" href = "stats_8h.html#a9995704aaaf45fc21e08c847551a8d04" > SCOPED_TIME_STAT< / a > (& stats_);< / div >
< div class = "line" > < a name = "l00543" > < / a > < span class = "lineno" > 543< / span >   < span class = "keyword" > const< / span > SparseColumn& pivot_column = permuted_lower_.< a class = "code" href = "classoperations__research_1_1glop_1_1_sparse_matrix_with_reusable_column_memory.html#a7273cc492a51a1c5d45c620b32fce502" > column< / a > (pivot_col);< / div >
< div class = "line" > < a name = "l00544" > < / a > < span class = "lineno" > 544< / span >   residual_matrix_non_zero_.< a class = "code" href = "classoperations__research_1_1glop_1_1_matrix_non_zero_pattern.html#a965275e22dbb55799f5b99cca98e0fbc" > Update< / a > (pivot_row, pivot_col, pivot_column);< / div >
< div class = "line" > < a name = "l00545" > < / a > < span class = "lineno" > 545< / span >   < span class = "keywordflow" > for< / span > (< span class = "keyword" > const< / span > ColIndex < a class = "code" href = "markowitz_8cc.html#aa9d6c98fdf8d89b0e2321fda02adc82c" > col< / a > : residual_matrix_non_zero_.< a class = "code" href = "classoperations__research_1_1glop_1_1_matrix_non_zero_pattern.html#a1ef38cd7e00a3d31093afe05ef6e9b8a" > RowNonZero< / a > (pivot_row)) {< / div >
< div class = "line" > < a name = "l00546" > < / a > < span class = "lineno" > 546< / span >   < a class = "code" href = "base_2logging_8h.html#a46e69120fbd3b36e6960e096d23b66f0" > DCHECK_NE< / a > (< a class = "code" href = "markowitz_8cc.html#aa9d6c98fdf8d89b0e2321fda02adc82c" > col< / a > , pivot_col);< / div >
< div class = "line" > < a name = "l00547" > < / a > < span class = "lineno" > 547< / span >   UpdateDegree(< a class = "code" href = "markowitz_8cc.html#aa9d6c98fdf8d89b0e2321fda02adc82c" > col< / a > , residual_matrix_non_zero_.< a class = "code" href = "classoperations__research_1_1glop_1_1_matrix_non_zero_pattern.html#ac6fdf4b27f37d788a51ff50a47d0a3df" > ColDegree< / a > (< a class = "code" href = "markowitz_8cc.html#aa9d6c98fdf8d89b0e2321fda02adc82c" > col< / a > ));< / div >
< div class = "line" > < a name = "l00548" > < / a > < span class = "lineno" > 548< / span >   permuted_lower_column_needs_solve_[< a class = "code" href = "markowitz_8cc.html#aa9d6c98fdf8d89b0e2321fda02adc82c" > col< / a > ] = < span class = "keyword" > true< / span > ;< / div >
< div class = "line" > < a name = "l00549" > < / a > < span class = "lineno" > 549< / span >   }< / div >
< div class = "line" > < a name = "l00550" > < / a > < span class = "lineno" > 550< / span >   RemoveColumnFromResidualMatrix(pivot_row, pivot_col);< / div >
< div class = "line" > < a name = "l00551" > < / a > < span class = "lineno" > 551< / span >   }< / div >
< div class = "line" > < a name = "l00552" > < / a > < span class = "lineno" > 552< / span >   < / div >
< div class = "line" > < a name = "l00553" > < / a > < span class = "lineno" > < a class = "line" href = "classoperations__research_1_1glop_1_1_markowitz.html#a627511bf305a6af5d7e114817c1792c2" > 553< / a > < / span >   < span class = "keywordtype" > double< / span > < a class = "code" href = "classoperations__research_1_1glop_1_1_markowitz.html#a627511bf305a6af5d7e114817c1792c2" > Markowitz::DeterministicTimeOfLastFactorization< / a > ()< span class = "keyword" > const < / span > {< / div >
< div class = "line" > < a name = "l00554" > < / a > < span class = "lineno" > 554< / span >   < span class = "keywordflow" > return< / span > < a class = "code" href = "namespaceoperations__research_1_1glop.html#aedb714d776d86539dbb9f42ae5d7d923" > DeterministicTimeForFpOperations< / a > (num_fp_operations_);< / div >
< div class = "line" > < a name = "l00555" > < / a > < span class = "lineno" > 555< / span >   }< / div >
< div class = "line" > < a name = "l00556" > < / a > < span class = "lineno" > 556< / span >   < / div >
< div class = "line" > < a name = "l00557" > < / a > < span class = "lineno" > < a class = "line" href = "classoperations__research_1_1glop_1_1_matrix_non_zero_pattern.html#aa71d36872f416feaa853788a7a7a7ef8" > 557< / a > < / span >   < span class = "keywordtype" > void< / span > < a class = "code" href = "classoperations__research_1_1glop_1_1_matrix_non_zero_pattern.html#aa71d36872f416feaa853788a7a7a7ef8" > MatrixNonZeroPattern::Clear< / a > () {< / div >
< div class = "line" > < a name = "l00558" > < / a > < span class = "lineno" > 558< / span >   row_degree_.< a class = "code" href = "classabsl_1_1_strong_vector.html#ac8bb3912a3ce86b15842e79d0b421204" > clear< / a > ();< / div >
< div class = "line" > < a name = "l00559" > < / a > < span class = "lineno" > 559< / span >   col_degree_.< a class = "code" href = "classabsl_1_1_strong_vector.html#ac8bb3912a3ce86b15842e79d0b421204" > clear< / a > ();< / div >
< div class = "line" > < a name = "l00560" > < / a > < span class = "lineno" > 560< / span >   row_non_zero_.< a class = "code" href = "classabsl_1_1_strong_vector.html#ac8bb3912a3ce86b15842e79d0b421204" > clear< / a > ();< / div >
< div class = "line" > < a name = "l00561" > < / a > < span class = "lineno" > 561< / span >   deleted_columns_.< a class = "code" href = "classabsl_1_1_strong_vector.html#ac8bb3912a3ce86b15842e79d0b421204" > clear< / a > ();< / div >
< div class = "line" > < a name = "l00562" > < / a > < span class = "lineno" > 562< / span >   bool_scratchpad_.< a class = "code" href = "classabsl_1_1_strong_vector.html#ac8bb3912a3ce86b15842e79d0b421204" > clear< / a > ();< / div >
< div class = "line" > < a name = "l00563" > < / a > < span class = "lineno" > 563< / span >   num_non_deleted_columns_ = 0;< / div >
< div class = "line" > < a name = "l00564" > < / a > < span class = "lineno" > 564< / span >   }< / div >
< div class = "line" > < a name = "l00565" > < / a > < span class = "lineno" > 565< / span >   < / div >
< div class = "line" > < a name = "l00566" > < / a > < span class = "lineno" > < a class = "line" href = "classoperations__research_1_1glop_1_1_matrix_non_zero_pattern.html#a85e6c7ebc5ac22d117ff412e3658c72d" > 566< / a > < / span >   < span class = "keywordtype" > void< / span > < a class = "code" href = "classoperations__research_1_1glop_1_1_matrix_non_zero_pattern.html#a85e6c7ebc5ac22d117ff412e3658c72d" > MatrixNonZeroPattern::Reset< / a > (RowIndex num_rows, ColIndex num_cols) {< / div >
< div class = "line" > < a name = "l00567" > < / a > < span class = "lineno" > 567< / span >   row_degree_.< a class = "code" href = "classoperations__research_1_1glop_1_1_strict_i_t_i_vector.html#a3de922485ca2c30f3e07d959dd97cdd0" > AssignToZero< / a > (num_rows);< / div >
< div class = "line" > < a name = "l00568" > < / a > < span class = "lineno" > 568< / span >   col_degree_.< a class = "code" href = "classoperations__research_1_1glop_1_1_strict_i_t_i_vector.html#a3de922485ca2c30f3e07d959dd97cdd0" > AssignToZero< / a > (num_cols);< / div >
< div class = "line" > < a name = "l00569" > < / a > < span class = "lineno" > 569< / span >   row_non_zero_.< a class = "code" href = "classabsl_1_1_strong_vector.html#ac8bb3912a3ce86b15842e79d0b421204" > clear< / a > ();< / div >
< div class = "line" > < a name = "l00570" > < / a > < span class = "lineno" > 570< / span >   row_non_zero_.< a class = "code" href = "classabsl_1_1_strong_vector.html#a4e3670a285a3642eaa07f66766cffa72" > resize< / a > (num_rows.value());< / div >
< div class = "line" > < a name = "l00571" > < / a > < span class = "lineno" > 571< / span >   deleted_columns_.< a class = "code" href = "classoperations__research_1_1glop_1_1_strict_i_t_i_vector.html#af8d7048738ceb4c753b040e6d29db79c" > assign< / a > (num_cols, < span class = "keyword" > false< / span > );< / div >
< div class = "line" > < a name = "l00572" > < / a > < span class = "lineno" > 572< / span >   bool_scratchpad_.< a class = "code" href = "classoperations__research_1_1glop_1_1_strict_i_t_i_vector.html#af8d7048738ceb4c753b040e6d29db79c" > assign< / a > (num_cols, < span class = "keyword" > false< / span > );< / div >
< div class = "line" > < a name = "l00573" > < / a > < span class = "lineno" > 573< / span >   num_non_deleted_columns_ = num_cols;< / div >
< div class = "line" > < a name = "l00574" > < / a > < span class = "lineno" > 574< / span >   }< / div >
< div class = "line" > < a name = "l00575" > < / a > < span class = "lineno" > 575< / span >   < / div >
< div class = "line" > < a name = "l00576" > < / a > < span class = "lineno" > < a class = "line" href = "classoperations__research_1_1glop_1_1_matrix_non_zero_pattern.html#af6141c80a5d2f56d86f149c822065cc5" > 576< / a > < / span >   < span class = "keywordtype" > void< / span > < a class = "code" href = "classoperations__research_1_1glop_1_1_matrix_non_zero_pattern.html#af6141c80a5d2f56d86f149c822065cc5" > MatrixNonZeroPattern::InitializeFromMatrixSubset< / a > (< / div >
< div class = "line" > < a name = "l00577" > < / a > < span class = "lineno" > 577< / span >   < span class = "keyword" > const< / span > < a class = "code" href = "classoperations__research_1_1glop_1_1_compact_sparse_matrix_view.html" > CompactSparseMatrixView< / a > & basis_matrix, < span class = "keyword" > const< / span > < a class = "code" href = "classoperations__research_1_1glop_1_1_permutation.html" > RowPermutation< / a > & row_perm,< / div >
< div class = "line" > < a name = "l00578" > < / a > < span class = "lineno" > 578< / span >   < span class = "keyword" > const< / span > < a class = "code" href = "classoperations__research_1_1glop_1_1_permutation.html" > ColumnPermutation< / a > & col_perm, std::vector< ColIndex> * singleton_columns,< / div >
< div class = "line" > < a name = "l00579" > < / a > < span class = "lineno" > 579< / span >   std::vector< RowIndex> * singleton_rows) {< / div >
< div class = "line" > < a name = "l00580" > < / a > < span class = "lineno" > 580< / span >   < span class = "keyword" > const< / span > ColIndex num_cols = basis_matrix.< a class = "code" href = "classoperations__research_1_1glop_1_1_compact_sparse_matrix_view.html#a41741829541d089f1c4d34f190884813" > num_cols< / a > ();< / div >
< div class = "line" > < a name = "l00581" > < / a > < span class = "lineno" > 581< / span >   < span class = "keyword" > const< / span > RowIndex num_rows = basis_matrix.< a class = "code" href = "classoperations__research_1_1glop_1_1_compact_sparse_matrix_view.html#a960110e64357a3e69162ebf1f71959dd" > num_rows< / a > ();< / div >
< div class = "line" > < a name = "l00582" > < / a > < span class = "lineno" > 582< / span >   < / div >
< div class = "line" > < a name = "l00583" > < / a > < span class = "lineno" > 583< / span >   < span class = "comment" > // Reset the matrix and initialize the vectors to the correct sizes.< / span > < / div >
< div class = "line" > < a name = "l00584" > < / a > < span class = "lineno" > 584< / span >   < a class = "code" href = "classoperations__research_1_1glop_1_1_matrix_non_zero_pattern.html#a85e6c7ebc5ac22d117ff412e3658c72d" > Reset< / a > (num_rows, num_cols);< / div >
< div class = "line" > < a name = "l00585" > < / a > < span class = "lineno" > 585< / span >   singleton_columns-> clear();< / div >
< div class = "line" > < a name = "l00586" > < / a > < span class = "lineno" > 586< / span >   singleton_rows-> clear();< / div >
< div class = "line" > < a name = "l00587" > < / a > < span class = "lineno" > 587< / span >   < / div >
< div class = "line" > < a name = "l00588" > < / a > < span class = "lineno" > 588< / span >   < span class = "comment" > // Compute the number of entries in each row.< / span > < / div >
< div class = "line" > < a name = "l00589" > < / a > < span class = "lineno" > 589< / span >   < span class = "keywordflow" > for< / span > (ColIndex < a class = "code" href = "markowitz_8cc.html#aa9d6c98fdf8d89b0e2321fda02adc82c" > col< / a > (0); < a class = "code" href = "markowitz_8cc.html#aa9d6c98fdf8d89b0e2321fda02adc82c" > col< / a > < num_cols; ++< a class = "code" href = "markowitz_8cc.html#aa9d6c98fdf8d89b0e2321fda02adc82c" > col< / a > ) {< / div >
< div class = "line" > < a name = "l00590" > < / a > < span class = "lineno" > 590< / span >   < span class = "keywordflow" > if< / span > (col_perm[< a class = "code" href = "markowitz_8cc.html#aa9d6c98fdf8d89b0e2321fda02adc82c" > col< / a > ] != < a class = "code" href = "namespaceoperations__research_1_1glop.html#afb755b7934d8679476e2f05a89739bcd" > kInvalidCol< / a > ) {< / div >
< div class = "line" > < a name = "l00591" > < / a > < span class = "lineno" > 591< / span >   deleted_columns_[< a class = "code" href = "markowitz_8cc.html#aa9d6c98fdf8d89b0e2321fda02adc82c" > col< / a > ] = < span class = "keyword" > true< / span > ;< / div >
< div class = "line" > < a name = "l00592" > < / a > < span class = "lineno" > 592< / span >   --num_non_deleted_columns_;< / div >
< div class = "line" > < a name = "l00593" > < / a > < span class = "lineno" > 593< / span >   < span class = "keywordflow" > continue< / span > ;< / div >
< div class = "line" > < a name = "l00594" > < / a > < span class = "lineno" > 594< / span >   }< / div >
< div class = "line" > < a name = "l00595" > < / a > < span class = "lineno" > 595< / span >   < span class = "keywordflow" > for< / span > (< span class = "keyword" > const< / span > < a class = "code" href = "classoperations__research_1_1glop_1_1_sparse_vector.html#ab38326ea6cb6187267665dd8b2748f3d" > SparseColumn::Entry< / a > e : basis_matrix.< a class = "code" href = "classoperations__research_1_1glop_1_1_compact_sparse_matrix_view.html#a6c2cb025b83ee5d5365eb0b419a0298c" > column< / a > (< a class = "code" href = "markowitz_8cc.html#aa9d6c98fdf8d89b0e2321fda02adc82c" > col< / a > )) {< / div >
< div class = "line" > < a name = "l00596" > < / a > < span class = "lineno" > 596< / span >   ++row_degree_[e.row()];< / div >
< div class = "line" > < a name = "l00597" > < / a > < span class = "lineno" > 597< / span >   }< / div >
< div class = "line" > < a name = "l00598" > < / a > < span class = "lineno" > 598< / span >   }< / div >
< div class = "line" > < a name = "l00599" > < / a > < span class = "lineno" > 599< / span >   < / div >
< div class = "line" > < a name = "l00600" > < / a > < span class = "lineno" > 600< / span >   < span class = "comment" > // Reserve the row_non_zero_ vector sizes.< / span > < / div >
< div class = "line" > < a name = "l00601" > < / a > < span class = "lineno" > 601< / span >   < span class = "keywordflow" > for< / span > (RowIndex < a class = "code" href = "markowitz_8cc.html#aea35f36ba98d5bbd8d033382f50c9e52" > row< / a > (0); < a class = "code" href = "markowitz_8cc.html#aea35f36ba98d5bbd8d033382f50c9e52" > row< / a > < num_rows; ++< a class = "code" href = "markowitz_8cc.html#aea35f36ba98d5bbd8d033382f50c9e52" > row< / a > ) {< / div >
< div class = "line" > < a name = "l00602" > < / a > < span class = "lineno" > 602< / span >   < span class = "keywordflow" > if< / span > (row_perm[< a class = "code" href = "markowitz_8cc.html#aea35f36ba98d5bbd8d033382f50c9e52" > row< / a > ] == < a class = "code" href = "namespaceoperations__research_1_1glop.html#a31ee82f6ef05c3da492c0376f910d015" > kInvalidRow< / a > ) {< / div >
< div class = "line" > < a name = "l00603" > < / a > < span class = "lineno" > 603< / span >   row_non_zero_[< a class = "code" href = "markowitz_8cc.html#aea35f36ba98d5bbd8d033382f50c9e52" > row< / a > ].< a class = "code" href = "classabsl_1_1_strong_vector.html#a562f7b24b47d3e7632a9896935c14d8b" > reserve< / a > (row_degree_[< a class = "code" href = "markowitz_8cc.html#aea35f36ba98d5bbd8d033382f50c9e52" > row< / a > ]);< / div >
< div class = "line" > < a name = "l00604" > < / a > < span class = "lineno" > 604< / span >   < span class = "keywordflow" > if< / span > (row_degree_[< a class = "code" href = "markowitz_8cc.html#aea35f36ba98d5bbd8d033382f50c9e52" > row< / a > ] == 1) singleton_rows-> push_back(< a class = "code" href = "markowitz_8cc.html#aea35f36ba98d5bbd8d033382f50c9e52" > row< / a > );< / div >
< div class = "line" > < a name = "l00605" > < / a > < span class = "lineno" > 605< / span >   } < span class = "keywordflow" > else< / span > {< / div >
< div class = "line" > < a name = "l00606" > < / a > < span class = "lineno" > 606< / span >   < span class = "comment" > // This is needed because in the row degree computation above, we do not< / span > < / div >
< div class = "line" > < a name = "l00607" > < / a > < span class = "lineno" > 607< / span >   < span class = "comment" > // test for row_perm[row] == kInvalidRow because it is a bit faster.< / span > < / div >
< div class = "line" > < a name = "l00608" > < / a > < span class = "lineno" > 608< / span >   row_degree_[< a class = "code" href = "markowitz_8cc.html#aea35f36ba98d5bbd8d033382f50c9e52" > row< / a > ] = 0;< / div >
< div class = "line" > < a name = "l00609" > < / a > < span class = "lineno" > 609< / span >   }< / div >
< div class = "line" > < a name = "l00610" > < / a > < span class = "lineno" > 610< / span >   }< / div >
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< div class = "line" > < a name = "l00611" > < / a > < span class = "lineno" > 611< / span >   < / div >
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< div class = "line" > < a name = "l00612" > < / a > < span class = "lineno" > 612< / span >   < span class = "comment" > // Initialize row_non_zero_.< / span > < / div >
< div class = "line" > < a name = "l00613" > < / a > < span class = "lineno" > 613< / span >   < span class = "keywordflow" > for< / span > (ColIndex < a class = "code" href = "markowitz_8cc.html#aa9d6c98fdf8d89b0e2321fda02adc82c" > col< / a > (0); < a class = "code" href = "markowitz_8cc.html#aa9d6c98fdf8d89b0e2321fda02adc82c" > col< / a > < num_cols; ++< a class = "code" href = "markowitz_8cc.html#aa9d6c98fdf8d89b0e2321fda02adc82c" > col< / a > ) {< / div >
< div class = "line" > < a name = "l00614" > < / a > < span class = "lineno" > 614< / span >   < span class = "keywordflow" > if< / span > (col_perm[< a class = "code" href = "markowitz_8cc.html#aa9d6c98fdf8d89b0e2321fda02adc82c" > col< / a > ] != < a class = "code" href = "namespaceoperations__research_1_1glop.html#afb755b7934d8679476e2f05a89739bcd" > kInvalidCol< / a > ) < span class = "keywordflow" > continue< / span > ;< / div >
< div class = "line" > < a name = "l00615" > < / a > < span class = "lineno" > 615< / span >   int32_t col_degree = 0;< / div >
< div class = "line" > < a name = "l00616" > < / a > < span class = "lineno" > 616< / span >   < span class = "keywordflow" > for< / span > (< span class = "keyword" > const< / span > < a class = "code" href = "classoperations__research_1_1glop_1_1_sparse_vector.html#ab38326ea6cb6187267665dd8b2748f3d" > SparseColumn::Entry< / a > e : basis_matrix.< a class = "code" href = "classoperations__research_1_1glop_1_1_compact_sparse_matrix_view.html#a6c2cb025b83ee5d5365eb0b419a0298c" > column< / a > (< a class = "code" href = "markowitz_8cc.html#aa9d6c98fdf8d89b0e2321fda02adc82c" > col< / a > )) {< / div >
< div class = "line" > < a name = "l00617" > < / a > < span class = "lineno" > 617< / span >   < span class = "keyword" > const< / span > RowIndex < a class = "code" href = "markowitz_8cc.html#aea35f36ba98d5bbd8d033382f50c9e52" > row< / a > = e.row();< / div >
< div class = "line" > < a name = "l00618" > < / a > < span class = "lineno" > 618< / span >   < span class = "keywordflow" > if< / span > (row_perm[< a class = "code" href = "markowitz_8cc.html#aea35f36ba98d5bbd8d033382f50c9e52" > row< / a > ] == < a class = "code" href = "namespaceoperations__research_1_1glop.html#a31ee82f6ef05c3da492c0376f910d015" > kInvalidRow< / a > ) {< / div >
< div class = "line" > < a name = "l00619" > < / a > < span class = "lineno" > 619< / span >   ++col_degree;< / div >
< div class = "line" > < a name = "l00620" > < / a > < span class = "lineno" > 620< / span >   row_non_zero_[< a class = "code" href = "markowitz_8cc.html#aea35f36ba98d5bbd8d033382f50c9e52" > row< / a > ].< a class = "code" href = "classabsl_1_1_strong_vector.html#a9263000d449fdccb6cb70b303063e60b" > push_back< / a > (< a class = "code" href = "markowitz_8cc.html#aa9d6c98fdf8d89b0e2321fda02adc82c" > col< / a > );< / div >
< div class = "line" > < a name = "l00621" > < / a > < span class = "lineno" > 621< / span >   }< / div >
< div class = "line" > < a name = "l00622" > < / a > < span class = "lineno" > 622< / span >   }< / div >
< div class = "line" > < a name = "l00623" > < / a > < span class = "lineno" > 623< / span >   col_degree_[< a class = "code" href = "markowitz_8cc.html#aa9d6c98fdf8d89b0e2321fda02adc82c" > col< / a > ] = col_degree;< / div >
< div class = "line" > < a name = "l00624" > < / a > < span class = "lineno" > 624< / span >   < span class = "keywordflow" > if< / span > (col_degree == 1) singleton_columns-> < a class = "code" href = "classabsl_1_1_strong_vector.html#a9263000d449fdccb6cb70b303063e60b" > push_back< / a > (< a class = "code" href = "markowitz_8cc.html#aa9d6c98fdf8d89b0e2321fda02adc82c" > col< / a > );< / div >
< div class = "line" > < a name = "l00625" > < / a > < span class = "lineno" > 625< / span >   }< / div >
< div class = "line" > < a name = "l00626" > < / a > < span class = "lineno" > 626< / span >   }< / div >
< div class = "line" > < a name = "l00627" > < / a > < span class = "lineno" > 627< / span >   < / div >
< div class = "line" > < a name = "l00628" > < / a > < span class = "lineno" > < a class = "line" href = "classoperations__research_1_1glop_1_1_matrix_non_zero_pattern.html#a8036bd4d1fc8a69112a1f7ed5493a924" > 628< / a > < / span >   < span class = "keywordtype" > void< / span > < a class = "code" href = "classoperations__research_1_1glop_1_1_matrix_non_zero_pattern.html#a8036bd4d1fc8a69112a1f7ed5493a924" > MatrixNonZeroPattern::AddEntry< / a > (RowIndex < a class = "code" href = "markowitz_8cc.html#aea35f36ba98d5bbd8d033382f50c9e52" > row< / a > , ColIndex < a class = "code" href = "markowitz_8cc.html#aa9d6c98fdf8d89b0e2321fda02adc82c" > col< / a > ) {< / div >
< div class = "line" > < a name = "l00629" > < / a > < span class = "lineno" > 629< / span >   ++row_degree_[< a class = "code" href = "markowitz_8cc.html#aea35f36ba98d5bbd8d033382f50c9e52" > row< / a > ];< / div >
< div class = "line" > < a name = "l00630" > < / a > < span class = "lineno" > 630< / span >   ++col_degree_[< a class = "code" href = "markowitz_8cc.html#aa9d6c98fdf8d89b0e2321fda02adc82c" > col< / a > ];< / div >
< div class = "line" > < a name = "l00631" > < / a > < span class = "lineno" > 631< / span >   row_non_zero_[< a class = "code" href = "markowitz_8cc.html#aea35f36ba98d5bbd8d033382f50c9e52" > row< / a > ].< a class = "code" href = "classabsl_1_1_strong_vector.html#a9263000d449fdccb6cb70b303063e60b" > push_back< / a > (< a class = "code" href = "markowitz_8cc.html#aa9d6c98fdf8d89b0e2321fda02adc82c" > col< / a > );< / div >
< div class = "line" > < a name = "l00632" > < / a > < span class = "lineno" > 632< / span >   }< / div >
< div class = "line" > < a name = "l00633" > < / a > < span class = "lineno" > 633< / span >   < / div >
< div class = "line" > < a name = "l00634" > < / a > < span class = "lineno" > < a class = "line" href = "classoperations__research_1_1glop_1_1_matrix_non_zero_pattern.html#a25db8d6277cbd4811441929a1817dea0" > 634< / a > < / span >   int32_t < a class = "code" href = "classoperations__research_1_1glop_1_1_matrix_non_zero_pattern.html#a25db8d6277cbd4811441929a1817dea0" > MatrixNonZeroPattern::DecreaseColDegree< / a > (ColIndex < a class = "code" href = "markowitz_8cc.html#aa9d6c98fdf8d89b0e2321fda02adc82c" > col< / a > ) {< / div >
< div class = "line" > < a name = "l00635" > < / a > < span class = "lineno" > 635< / span >   < span class = "keywordflow" > return< / span > --col_degree_[< a class = "code" href = "markowitz_8cc.html#aa9d6c98fdf8d89b0e2321fda02adc82c" > col< / a > ];< / div >
< div class = "line" > < a name = "l00636" > < / a > < span class = "lineno" > 636< / span >   }< / div >
< div class = "line" > < a name = "l00637" > < / a > < span class = "lineno" > 637< / span >   < / div >
< div class = "line" > < a name = "l00638" > < / a > < span class = "lineno" > < a class = "line" href = "classoperations__research_1_1glop_1_1_matrix_non_zero_pattern.html#aa844f860b76cad2a3682e7d9b927195c" > 638< / a > < / span >   int32_t < a class = "code" href = "classoperations__research_1_1glop_1_1_matrix_non_zero_pattern.html#aa844f860b76cad2a3682e7d9b927195c" > MatrixNonZeroPattern::DecreaseRowDegree< / a > (RowIndex < a class = "code" href = "markowitz_8cc.html#aea35f36ba98d5bbd8d033382f50c9e52" > row< / a > ) {< / div >
< div class = "line" > < a name = "l00639" > < / a > < span class = "lineno" > 639< / span >   < span class = "keywordflow" > return< / span > --row_degree_[< a class = "code" href = "markowitz_8cc.html#aea35f36ba98d5bbd8d033382f50c9e52" > row< / a > ];< / div >
< div class = "line" > < a name = "l00640" > < / a > < span class = "lineno" > 640< / span >   }< / div >
< div class = "line" > < a name = "l00641" > < / a > < span class = "lineno" > 641< / span >   < / div >
< div class = "line" > < a name = "l00642" > < / a > < span class = "lineno" > < a class = "line" href = "classoperations__research_1_1glop_1_1_matrix_non_zero_pattern.html#a437a888007d0475cfaf07ac70538c458" > 642< / a > < / span >   < span class = "keywordtype" > void< / span > < a class = "code" href = "classoperations__research_1_1glop_1_1_matrix_non_zero_pattern.html#a437a888007d0475cfaf07ac70538c458" > MatrixNonZeroPattern::DeleteRowAndColumn< / a > (RowIndex pivot_row,< / div >
< div class = "line" > < a name = "l00643" > < / a > < span class = "lineno" > 643< / span >   ColIndex pivot_col) {< / div >
< div class = "line" > < a name = "l00644" > < / a > < span class = "lineno" > 644< / span >   < a class = "code" href = "base_2logging_8h.html#ae17f8119c108cf3070bad3449c7e0006" > DCHECK< / a > (!deleted_columns_[pivot_col]);< / div >
< div class = "line" > < a name = "l00645" > < / a > < span class = "lineno" > 645< / span >   deleted_columns_[pivot_col] = < span class = "keyword" > true< / span > ;< / div >
< div class = "line" > < a name = "l00646" > < / a > < span class = "lineno" > 646< / span >   --num_non_deleted_columns_;< / div >
< div class = "line" > < a name = "l00647" > < / a > < span class = "lineno" > 647< / span >   < / div >
< div class = "line" > < a name = "l00648" > < / a > < span class = "lineno" > 648< / span >   < span class = "comment" > // We do that to optimize RemoveColumnFromResidualMatrix().< / span > < / div >
< div class = "line" > < a name = "l00649" > < / a > < span class = "lineno" > 649< / span >   row_degree_[pivot_row] = 0;< / div >
< div class = "line" > < a name = "l00650" > < / a > < span class = "lineno" > 650< / span >   }< / div >
< div class = "line" > < a name = "l00651" > < / a > < span class = "lineno" > 651< / span >   < / div >
< div class = "line" > < a name = "l00652" > < / a > < span class = "lineno" > < a class = "line" href = "classoperations__research_1_1glop_1_1_matrix_non_zero_pattern.html#a1f59bbe4cda31ad0ee8a91c4bd57e945" > 652< / a > < / span >   < span class = "keywordtype" > bool< / span > < a class = "code" href = "classoperations__research_1_1glop_1_1_matrix_non_zero_pattern.html#a1f59bbe4cda31ad0ee8a91c4bd57e945" > MatrixNonZeroPattern::IsColumnDeleted< / a > (ColIndex < a class = "code" href = "markowitz_8cc.html#aa9d6c98fdf8d89b0e2321fda02adc82c" > col< / a > )< span class = "keyword" > const < / span > {< / div >
< div class = "line" > < a name = "l00653" > < / a > < span class = "lineno" > 653< / span >   < span class = "keywordflow" > return< / span > deleted_columns_[< a class = "code" href = "markowitz_8cc.html#aa9d6c98fdf8d89b0e2321fda02adc82c" > col< / a > ];< / div >
< div class = "line" > < a name = "l00654" > < / a > < span class = "lineno" > 654< / span >   }< / div >
< div class = "line" > < a name = "l00655" > < / a > < span class = "lineno" > 655< / span >   < / div >
< div class = "line" > < a name = "l00656" > < / a > < span class = "lineno" > < a class = "line" href = "classoperations__research_1_1glop_1_1_matrix_non_zero_pattern.html#a2527e336adfc8144ee253eed236fa699" > 656< / a > < / span >   < span class = "keywordtype" > void< / span > < a class = "code" href = "classoperations__research_1_1glop_1_1_matrix_non_zero_pattern.html#a2527e336adfc8144ee253eed236fa699" > MatrixNonZeroPattern::RemoveDeletedColumnsFromRow< / a > (RowIndex < a class = "code" href = "markowitz_8cc.html#aea35f36ba98d5bbd8d033382f50c9e52" > row< / a > ) {< / div >
< div class = "line" > < a name = "l00657" > < / a > < span class = "lineno" > 657< / span >   < span class = "keyword" > auto< / span > & ref = row_non_zero_[< a class = "code" href = "markowitz_8cc.html#aea35f36ba98d5bbd8d033382f50c9e52" > row< / a > ];< / div >
< div class = "line" > < a name = "l00658" > < / a > < span class = "lineno" > 658< / span >   < span class = "keywordtype" > int< / span > new_index = 0;< / div >
< div class = "line" > < a name = "l00659" > < / a > < span class = "lineno" > 659< / span >   < span class = "keyword" > const< / span > < span class = "keywordtype" > int< / span > end = ref.< a class = "code" href = "classabsl_1_1_strong_vector.html#a60304b65bf89363bcc3165d3cde67f86" > size< / a > ();< / div >
< div class = "line" > < a name = "l00660" > < / a > < span class = "lineno" > 660< / span >   < span class = "keywordflow" > for< / span > (< span class = "keywordtype" > int< / span > i = 0; i < end; ++i) {< / div >
< div class = "line" > < a name = "l00661" > < / a > < span class = "lineno" > 661< / span >   < span class = "keyword" > const< / span > ColIndex < a class = "code" href = "markowitz_8cc.html#aa9d6c98fdf8d89b0e2321fda02adc82c" > col< / a > = ref[i];< / div >
< div class = "line" > < a name = "l00662" > < / a > < span class = "lineno" > 662< / span >   < span class = "keywordflow" > if< / span > (!deleted_columns_[< a class = "code" href = "markowitz_8cc.html#aa9d6c98fdf8d89b0e2321fda02adc82c" > col< / a > ]) {< / div >
< div class = "line" > < a name = "l00663" > < / a > < span class = "lineno" > 663< / span >   ref[new_index] = < a class = "code" href = "markowitz_8cc.html#aa9d6c98fdf8d89b0e2321fda02adc82c" > col< / a > ;< / div >
< div class = "line" > < a name = "l00664" > < / a > < span class = "lineno" > 664< / span >   ++new_index;< / div >
< div class = "line" > < a name = "l00665" > < / a > < span class = "lineno" > 665< / span >   }< / div >
< div class = "line" > < a name = "l00666" > < / a > < span class = "lineno" > 666< / span >   }< / div >
< div class = "line" > < a name = "l00667" > < / a > < span class = "lineno" > 667< / span >   ref.resize(new_index);< / div >
< div class = "line" > < a name = "l00668" > < / a > < span class = "lineno" > 668< / span >   }< / div >
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< div class = "line" > < a name = "l00669" > < / a > < span class = "lineno" > 669< / span >   < / div >
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< div class = "line" > < a name = "l00670" > < / a > < span class = "lineno" > < a class = "line" href = "classoperations__research_1_1glop_1_1_matrix_non_zero_pattern.html#af14468b811c1218ef477ccbd170e6f8d" > 670< / a > < / span >   ColIndex < a class = "code" href = "classoperations__research_1_1glop_1_1_matrix_non_zero_pattern.html#af14468b811c1218ef477ccbd170e6f8d" > MatrixNonZeroPattern::GetFirstNonDeletedColumnFromRow< / a > (< / div >
< div class = "line" > < a name = "l00671" > < / a > < span class = "lineno" > 671< / span >   RowIndex < a class = "code" href = "markowitz_8cc.html#aea35f36ba98d5bbd8d033382f50c9e52" > row< / a > )< span class = "keyword" > const < / span > {< / div >
< div class = "line" > < a name = "l00672" > < / a > < span class = "lineno" > 672< / span >   < span class = "keywordflow" > for< / span > (< span class = "keyword" > const< / span > ColIndex < a class = "code" href = "markowitz_8cc.html#aa9d6c98fdf8d89b0e2321fda02adc82c" > col< / a > : < a class = "code" href = "classoperations__research_1_1glop_1_1_matrix_non_zero_pattern.html#a1ef38cd7e00a3d31093afe05ef6e9b8a" > RowNonZero< / a > (< a class = "code" href = "markowitz_8cc.html#aea35f36ba98d5bbd8d033382f50c9e52" > row< / a > )) {< / div >
< div class = "line" > < a name = "l00673" > < / a > < span class = "lineno" > 673< / span >   < span class = "keywordflow" > if< / span > (!< a class = "code" href = "classoperations__research_1_1glop_1_1_matrix_non_zero_pattern.html#a1f59bbe4cda31ad0ee8a91c4bd57e945" > IsColumnDeleted< / a > (< a class = "code" href = "markowitz_8cc.html#aa9d6c98fdf8d89b0e2321fda02adc82c" > col< / a > )) < span class = "keywordflow" > return< / span > < a class = "code" href = "markowitz_8cc.html#aa9d6c98fdf8d89b0e2321fda02adc82c" > col< / a > ;< / div >
2020-09-02 09:42:51 +02:00
< div class = "line" > < a name = "l00674" > < / a > < span class = "lineno" > 674< / span >   }< / div >
2021-04-27 23:00:03 +02:00
< div class = "line" > < a name = "l00675" > < / a > < span class = "lineno" > 675< / span >   < span class = "keywordflow" > return< / span > < a class = "code" href = "namespaceoperations__research_1_1glop.html#afb755b7934d8679476e2f05a89739bcd" > kInvalidCol< / a > ;< / div >
< div class = "line" > < a name = "l00676" > < / a > < span class = "lineno" > 676< / span >   }< / div >
< div class = "line" > < a name = "l00677" > < / a > < span class = "lineno" > 677< / span >   < / div >
< div class = "line" > < a name = "l00678" > < / a > < span class = "lineno" > < a class = "line" href = "classoperations__research_1_1glop_1_1_matrix_non_zero_pattern.html#a965275e22dbb55799f5b99cca98e0fbc" > 678< / a > < / span >   < span class = "keywordtype" > void< / span > < a class = "code" href = "classoperations__research_1_1glop_1_1_matrix_non_zero_pattern.html#a965275e22dbb55799f5b99cca98e0fbc" > MatrixNonZeroPattern::Update< / a > (RowIndex pivot_row, ColIndex pivot_col,< / div >
< div class = "line" > < a name = "l00679" > < / a > < span class = "lineno" > 679< / span >   < span class = "keyword" > const< / span > < a class = "code" href = "classoperations__research_1_1glop_1_1_sparse_column.html" > SparseColumn< / a > & column) {< / div >
< div class = "line" > < a name = "l00680" > < / a > < span class = "lineno" > 680< / span >   < span class = "comment" > // Since DeleteRowAndColumn() must be called just before this function,< / span > < / div >
< div class = "line" > < a name = "l00681" > < / a > < span class = "lineno" > 681< / span >   < span class = "comment" > // the pivot column has been marked as deleted but degrees have not been< / span > < / div >
< div class = "line" > < a name = "l00682" > < / a > < span class = "lineno" > 682< / span >   < span class = "comment" > // updated yet. Hence the +1.< / span > < / div >
< div class = "line" > < a name = "l00683" > < / a > < span class = "lineno" > 683< / span >   < a class = "code" href = "base_2logging_8h.html#ae17f8119c108cf3070bad3449c7e0006" > DCHECK< / a > (deleted_columns_[pivot_col]);< / div >
< div class = "line" > < a name = "l00684" > < / a > < span class = "lineno" > 684< / span >   < span class = "keyword" > const< / span > < span class = "keywordtype" > int< / span > max_row_degree = num_non_deleted_columns_.value() + 1;< / div >
< div class = "line" > < a name = "l00685" > < / a > < span class = "lineno" > 685< / span >   < / div >
< div class = "line" > < a name = "l00686" > < / a > < span class = "lineno" > 686< / span >   < a class = "code" href = "classoperations__research_1_1glop_1_1_matrix_non_zero_pattern.html#a2527e336adfc8144ee253eed236fa699" > RemoveDeletedColumnsFromRow< / a > (pivot_row);< / div >
< div class = "line" > < a name = "l00687" > < / a > < span class = "lineno" > 687< / span >   < span class = "keywordflow" > for< / span > (< span class = "keyword" > const< / span > ColIndex < a class = "code" href = "markowitz_8cc.html#aa9d6c98fdf8d89b0e2321fda02adc82c" > col< / a > : row_non_zero_[pivot_row]) {< / div >
< div class = "line" > < a name = "l00688" > < / a > < span class = "lineno" > 688< / span >   < a class = "code" href = "classoperations__research_1_1glop_1_1_matrix_non_zero_pattern.html#a25db8d6277cbd4811441929a1817dea0" > DecreaseColDegree< / a > (< a class = "code" href = "markowitz_8cc.html#aa9d6c98fdf8d89b0e2321fda02adc82c" > col< / a > );< / div >
< div class = "line" > < a name = "l00689" > < / a > < span class = "lineno" > 689< / span >   bool_scratchpad_[< a class = "code" href = "markowitz_8cc.html#aa9d6c98fdf8d89b0e2321fda02adc82c" > col< / a > ] = < span class = "keyword" > false< / span > ;< / div >
< div class = "line" > < a name = "l00690" > < / a > < span class = "lineno" > 690< / span >   }< / div >
< div class = "line" > < a name = "l00691" > < / a > < span class = "lineno" > 691< / span >   < / div >
< div class = "line" > < a name = "l00692" > < / a > < span class = "lineno" > 692< / span >   < span class = "comment" > // We only need to merge the row for the position with a coefficient different< / span > < / div >
< div class = "line" > < a name = "l00693" > < / a > < span class = "lineno" > 693< / span >   < span class = "comment" > // from 0.0. Note that the column must contain all the symbolic non-zeros for< / span > < / div >
< div class = "line" > < a name = "l00694" > < / a > < span class = "lineno" > 694< / span >   < span class = "comment" > // the row degree to be updated correctly. Note also that decreasing the row< / span > < / div >
< div class = "line" > < a name = "l00695" > < / a > < span class = "lineno" > 695< / span >   < span class = "comment" > // degrees due to the deletion of pivot_col will happen outside this function.< / span > < / div >
< div class = "line" > < a name = "l00696" > < / a > < span class = "lineno" > 696< / span >   < span class = "keywordflow" > for< / span > (< span class = "keyword" > const< / span > < a class = "code" href = "classoperations__research_1_1glop_1_1_sparse_vector.html#ab38326ea6cb6187267665dd8b2748f3d" > SparseColumn::Entry< / a > e : column) {< / div >
< div class = "line" > < a name = "l00697" > < / a > < span class = "lineno" > 697< / span >   < span class = "keyword" > const< / span > RowIndex < a class = "code" href = "markowitz_8cc.html#aea35f36ba98d5bbd8d033382f50c9e52" > row< / a > = e.row();< / div >
< div class = "line" > < a name = "l00698" > < / a > < span class = "lineno" > 698< / span >   < span class = "keywordflow" > if< / span > (< a class = "code" href = "markowitz_8cc.html#aea35f36ba98d5bbd8d033382f50c9e52" > row< / a > == pivot_row) < span class = "keywordflow" > continue< / span > ;< / div >
< div class = "line" > < a name = "l00699" > < / a > < span class = "lineno" > 699< / span >   < / div >
< div class = "line" > < a name = "l00700" > < / a > < span class = "lineno" > 700< / span >   < span class = "comment" > // If the row is fully dense, there is nothing to do (the merge below will< / span > < / div >
< div class = "line" > < a name = "l00701" > < / a > < span class = "lineno" > 701< / span >   < span class = "comment" > // not change anything). This is a small price to pay for a huge gain when< / span > < / div >
< div class = "line" > < a name = "l00702" > < / a > < span class = "lineno" > 702< / span >   < span class = "comment" > // the matrix becomes dense.< / span > < / div >
< div class = "line" > < a name = "l00703" > < / a > < span class = "lineno" > 703< / span >   < span class = "keywordflow" > if< / span > (e.coefficient() == 0.0 || row_degree_[< a class = "code" href = "markowitz_8cc.html#aea35f36ba98d5bbd8d033382f50c9e52" > row< / a > ] == max_row_degree) < span class = "keywordflow" > continue< / span > ;< / div >
< div class = "line" > < a name = "l00704" > < / a > < span class = "lineno" > 704< / span >   < a class = "code" href = "base_2logging_8h.html#ab62f5ed8f2d48e29802be0cbbcd1359a" > DCHECK_LT< / a > (row_degree_[< a class = "code" href = "markowitz_8cc.html#aea35f36ba98d5bbd8d033382f50c9e52" > row< / a > ], max_row_degree);< / div >
< div class = "line" > < a name = "l00705" > < / a > < span class = "lineno" > 705< / span >   < / div >
< div class = "line" > < a name = "l00706" > < / a > < span class = "lineno" > 706< / span >   < span class = "comment" > // We only clean row_non_zero_[row] if there are more than 4 entries to< / span > < / div >
< div class = "line" > < a name = "l00707" > < / a > < span class = "lineno" > 707< / span >   < span class = "comment" > // delete. Note(user): the 4 is somewhat arbitrary, but gives good results< / span > < / div >
< div class = "line" > < a name = "l00708" > < / a > < span class = "lineno" > 708< / span >   < span class = "comment" > // on the Netlib (23/04/2013). Note that calling< / span > < / div >
< div class = "line" > < a name = "l00709" > < / a > < span class = "lineno" > 709< / span >   < span class = "comment" > // RemoveDeletedColumnsFromRow() is not mandatory and does not change the LU< / span > < / div >
< div class = "line" > < a name = "l00710" > < / a > < span class = "lineno" > 710< / span >   < span class = "comment" > // decomposition, so we could call it all the time or never and the< / span > < / div >
< div class = "line" > < a name = "l00711" > < / a > < span class = "lineno" > 711< / span >   < span class = "comment" > // algorithm would still work.< / span > < / div >
< div class = "line" > < a name = "l00712" > < / a > < span class = "lineno" > 712< / span >   < span class = "keyword" > const< / span > < span class = "keywordtype" > int< / span > kDeletionThreshold = 4;< / div >
< div class = "line" > < a name = "l00713" > < / a > < span class = "lineno" > 713< / span >   < span class = "keywordflow" > if< / span > (row_non_zero_[< a class = "code" href = "markowitz_8cc.html#aea35f36ba98d5bbd8d033382f50c9e52" > row< / a > ].size() > row_degree_[< a class = "code" href = "markowitz_8cc.html#aea35f36ba98d5bbd8d033382f50c9e52" > row< / a > ] + kDeletionThreshold) {< / div >
< div class = "line" > < a name = "l00714" > < / a > < span class = "lineno" > 714< / span >   < a class = "code" href = "classoperations__research_1_1glop_1_1_matrix_non_zero_pattern.html#a2527e336adfc8144ee253eed236fa699" > RemoveDeletedColumnsFromRow< / a > (< a class = "code" href = "markowitz_8cc.html#aea35f36ba98d5bbd8d033382f50c9e52" > row< / a > );< / div >
< div class = "line" > < a name = "l00715" > < / a > < span class = "lineno" > 715< / span >   }< / div >
< div class = "line" > < a name = "l00716" > < / a > < span class = "lineno" > 716< / span >   < span class = "comment" > // TODO(user): Special case if row_non_zero_[pivot_row].size() == 1?< / span > < / div >
< div class = "line" > < a name = "l00717" > < / a > < span class = "lineno" > 717< / span >   < span class = "keywordflow" > if< / span > (< span class = "comment" > /* DISABLES CODE */< / span > (< span class = "keyword" > true< / span > )) {< / div >
< div class = "line" > < a name = "l00718" > < / a > < span class = "lineno" > 718< / span >   MergeInto(pivot_row, < a class = "code" href = "markowitz_8cc.html#aea35f36ba98d5bbd8d033382f50c9e52" > row< / a > );< / div >
< div class = "line" > < a name = "l00719" > < / a > < span class = "lineno" > 719< / span >   } < span class = "keywordflow" > else< / span > {< / div >
< div class = "line" > < a name = "l00720" > < / a > < span class = "lineno" > 720< / span >   < span class = "comment" > // This is currently not used, but kept as an alternative algorithm to< / span > < / div >
< div class = "line" > < a name = "l00721" > < / a > < span class = "lineno" > 721< / span >   < span class = "comment" > // investigate. The performance is really similar, but the final L.U is< / span > < / div >
< div class = "line" > < a name = "l00722" > < / a > < span class = "lineno" > 722< / span >   < span class = "comment" > // different. Note that when this is used, there is no need to modify< / span > < / div >
< div class = "line" > < a name = "l00723" > < / a > < span class = "lineno" > 723< / span >   < span class = "comment" > // bool_scratchpad_ at the beginning of this function.< / span > < / div >
< div class = "line" > < a name = "l00724" > < / a > < span class = "lineno" > 724< / span >   < span class = "comment" > //< / span > < / div >
< div class = "line" > < a name = "l00725" > < / a > < span class = "lineno" > 725< / span >   < span class = "comment" > // TODO(user): Add unit tests before using this.< / span > < / div >
< div class = "line" > < a name = "l00726" > < / a > < span class = "lineno" > 726< / span >   MergeIntoSorted(pivot_row, < a class = "code" href = "markowitz_8cc.html#aea35f36ba98d5bbd8d033382f50c9e52" > row< / a > );< / div >
< div class = "line" > < a name = "l00727" > < / a > < span class = "lineno" > 727< / span >   }< / div >
< div class = "line" > < a name = "l00728" > < / a > < span class = "lineno" > 728< / span >   }< / div >
< div class = "line" > < a name = "l00729" > < / a > < span class = "lineno" > 729< / span >   }< / div >
< div class = "line" > < a name = "l00730" > < / a > < span class = "lineno" > 730< / span >   < / div >
< div class = "line" > < a name = "l00731" > < / a > < span class = "lineno" > 731< / span >   < span class = "keywordtype" > void< / span > MatrixNonZeroPattern::MergeInto(RowIndex pivot_row, RowIndex < a class = "code" href = "markowitz_8cc.html#aea35f36ba98d5bbd8d033382f50c9e52" > row< / a > ) {< / div >
< div class = "line" > < a name = "l00732" > < / a > < span class = "lineno" > 732< / span >   < span class = "comment" > // Note that bool_scratchpad_ must be already false on the positions in< / span > < / div >
< div class = "line" > < a name = "l00733" > < / a > < span class = "lineno" > 733< / span >   < span class = "comment" > // row_non_zero_[pivot_row].< / span > < / div >
< div class = "line" > < a name = "l00734" > < / a > < span class = "lineno" > 734< / span >   < span class = "keywordflow" > for< / span > (< span class = "keyword" > const< / span > ColIndex < a class = "code" href = "markowitz_8cc.html#aa9d6c98fdf8d89b0e2321fda02adc82c" > col< / a > : row_non_zero_[< a class = "code" href = "markowitz_8cc.html#aea35f36ba98d5bbd8d033382f50c9e52" > row< / a > ]) {< / div >
< div class = "line" > < a name = "l00735" > < / a > < span class = "lineno" > 735< / span >   bool_scratchpad_[< a class = "code" href = "markowitz_8cc.html#aa9d6c98fdf8d89b0e2321fda02adc82c" > col< / a > ] = < span class = "keyword" > true< / span > ;< / div >
< div class = "line" > < a name = "l00736" > < / a > < span class = "lineno" > 736< / span >   }< / div >
< div class = "line" > < a name = "l00737" > < / a > < span class = "lineno" > 737< / span >   < / div >
< div class = "line" > < a name = "l00738" > < / a > < span class = "lineno" > 738< / span >   < span class = "keyword" > auto< / span > & non_zero = row_non_zero_[< a class = "code" href = "markowitz_8cc.html#aea35f36ba98d5bbd8d033382f50c9e52" > row< / a > ];< / div >
< div class = "line" > < a name = "l00739" > < / a > < span class = "lineno" > 739< / span >   < span class = "keyword" > const< / span > < span class = "keywordtype" > int< / span > old_size = non_zero.< a class = "code" href = "classabsl_1_1_strong_vector.html#a60304b65bf89363bcc3165d3cde67f86" > size< / a > ();< / div >
< div class = "line" > < a name = "l00740" > < / a > < span class = "lineno" > 740< / span >   < span class = "keywordflow" > for< / span > (< span class = "keyword" > const< / span > ColIndex < a class = "code" href = "markowitz_8cc.html#aa9d6c98fdf8d89b0e2321fda02adc82c" > col< / a > : row_non_zero_[pivot_row]) {< / div >
< div class = "line" > < a name = "l00741" > < / a > < span class = "lineno" > 741< / span >   < span class = "keywordflow" > if< / span > (bool_scratchpad_[< a class = "code" href = "markowitz_8cc.html#aa9d6c98fdf8d89b0e2321fda02adc82c" > col< / a > ]) {< / div >
< div class = "line" > < a name = "l00742" > < / a > < span class = "lineno" > 742< / span >   bool_scratchpad_[< a class = "code" href = "markowitz_8cc.html#aa9d6c98fdf8d89b0e2321fda02adc82c" > col< / a > ] = < span class = "keyword" > false< / span > ;< / div >
< div class = "line" > < a name = "l00743" > < / a > < span class = "lineno" > 743< / span >   } < span class = "keywordflow" > else< / span > {< / div >
< div class = "line" > < a name = "l00744" > < / a > < span class = "lineno" > 744< / span >   non_zero.< a class = "code" href = "classabsl_1_1_strong_vector.html#a9263000d449fdccb6cb70b303063e60b" > push_back< / a > (< a class = "code" href = "markowitz_8cc.html#aa9d6c98fdf8d89b0e2321fda02adc82c" > col< / a > );< / div >
< div class = "line" > < a name = "l00745" > < / a > < span class = "lineno" > 745< / span >   ++col_degree_[< a class = "code" href = "markowitz_8cc.html#aa9d6c98fdf8d89b0e2321fda02adc82c" > col< / a > ];< / div >
< div class = "line" > < a name = "l00746" > < / a > < span class = "lineno" > 746< / span >   }< / div >
< div class = "line" > < a name = "l00747" > < / a > < span class = "lineno" > 747< / span >   }< / div >
< div class = "line" > < a name = "l00748" > < / a > < span class = "lineno" > 748< / span >   row_degree_[< a class = "code" href = "markowitz_8cc.html#aea35f36ba98d5bbd8d033382f50c9e52" > row< / a > ] += non_zero.< a class = "code" href = "classoperations__research_1_1glop_1_1_strict_i_t_i_vector.html#a967a5c081ad4195a30c78dc2c0bcabf5" > size< / a > () - old_size;< / div >
< div class = "line" > < a name = "l00749" > < / a > < span class = "lineno" > 749< / span >   }< / div >
< div class = "line" > < a name = "l00750" > < / a > < span class = "lineno" > 750< / span >   < / div >
< div class = "line" > < a name = "l00751" > < / a > < span class = "lineno" > 751< / span >   < span class = "keyword" > namespace < / span > {< / div >
< div class = "line" > < a name = "l00752" > < / a > < span class = "lineno" > 752< / span >   < / div >
< div class = "line" > < a name = "l00753" > < / a > < span class = "lineno" > 753< / span >   < span class = "comment" > // Given two sorted vectors (the second one is the initial value of out), merges< / span > < / div >
< div class = "line" > < a name = "l00754" > < / a > < span class = "lineno" > 754< / span >   < span class = "comment" > // them and outputs the sorted result in out. The merge is stable and an element< / span > < / div >
< div class = "line" > < a name = "l00755" > < / a > < span class = "lineno" > 755< / span >   < span class = "comment" > // of input_a will appear before the identical elements of the second input.< / span > < / div >
< div class = "line" > < a name = "l00756" > < / a > < span class = "lineno" > 756< / span >   < span class = "keyword" > template< / span > < < span class = "keyword" > typename< / span > V, < span class = "keyword" > typename< / span > W> < / div >
< div class = "line" > < a name = "l00757" > < / a > < span class = "lineno" > 757< / span >   < span class = "keywordtype" > void< / span > MergeSortedVectors(< span class = "keyword" > const< / span > V& input_a, W* out) {< / div >
< div class = "line" > < a name = "l00758" > < / a > < span class = "lineno" > 758< / span >   < span class = "keywordflow" > if< / span > (input_a.empty()) < span class = "keywordflow" > return< / span > ;< / div >
< div class = "line" > < a name = "l00759" > < / a > < span class = "lineno" > 759< / span >   < span class = "keyword" > const< / span > < span class = "keyword" > auto< / span > & input_b = *out;< / div >
< div class = "line" > < a name = "l00760" > < / a > < span class = "lineno" > 760< / span >   < span class = "keywordtype" > int< / span > index_a = input_a.size() - 1;< / div >
< div class = "line" > < a name = "l00761" > < / a > < span class = "lineno" > 761< / span >   < span class = "keywordtype" > int< / span > index_b = input_b.size() - 1;< / div >
< div class = "line" > < a name = "l00762" > < / a > < span class = "lineno" > 762< / span >   < span class = "keywordtype" > int< / span > index_out = input_a.size() + input_b.size();< / div >
< div class = "line" > < a name = "l00763" > < / a > < span class = "lineno" > 763< / span >   out-> resize(index_out);< / div >
< div class = "line" > < a name = "l00764" > < / a > < span class = "lineno" > 764< / span >   < span class = "keywordflow" > while< / span > (index_a > = 0) {< / div >
< div class = "line" > < a name = "l00765" > < / a > < span class = "lineno" > 765< / span >   < span class = "keywordflow" > if< / span > (index_b < 0) {< / div >
< div class = "line" > < a name = "l00766" > < / a > < span class = "lineno" > 766< / span >   < span class = "keywordflow" > while< / span > (index_a > = 0) {< / div >
< div class = "line" > < a name = "l00767" > < / a > < span class = "lineno" > 767< / span >   --index_out;< / div >
< div class = "line" > < a name = "l00768" > < / a > < span class = "lineno" > 768< / span >   (*out)[index_out] = input_a[index_a];< / div >
< div class = "line" > < a name = "l00769" > < / a > < span class = "lineno" > 769< / span >   --index_a;< / div >
< div class = "line" > < a name = "l00770" > < / a > < span class = "lineno" > 770< / span >   }< / div >
< div class = "line" > < a name = "l00771" > < / a > < span class = "lineno" > 771< / span >   < span class = "keywordflow" > return< / span > ;< / div >
< div class = "line" > < a name = "l00772" > < / a > < span class = "lineno" > 772< / span >   }< / div >
< div class = "line" > < a name = "l00773" > < / a > < span class = "lineno" > 773< / span >   --index_out;< / div >
< div class = "line" > < a name = "l00774" > < / a > < span class = "lineno" > 774< / span >   < span class = "keywordflow" > if< / span > (input_a[index_a] > input_b[index_b]) {< / div >
< div class = "line" > < a name = "l00775" > < / a > < span class = "lineno" > 775< / span >   (*out)[index_out] = input_a[index_a];< / div >
< div class = "line" > < a name = "l00776" > < / a > < span class = "lineno" > 776< / span >   --index_a;< / div >
< div class = "line" > < a name = "l00777" > < / a > < span class = "lineno" > 777< / span >   } < span class = "keywordflow" > else< / span > {< / div >
< div class = "line" > < a name = "l00778" > < / a > < span class = "lineno" > 778< / span >   (*out)[index_out] = input_b[index_b];< / div >
< div class = "line" > < a name = "l00779" > < / a > < span class = "lineno" > 779< / span >   --index_b;< / div >
< div class = "line" > < a name = "l00780" > < / a > < span class = "lineno" > 780< / span >   }< / div >
< div class = "line" > < a name = "l00781" > < / a > < span class = "lineno" > 781< / span >   }< / div >
< div class = "line" > < a name = "l00782" > < / a > < span class = "lineno" > 782< / span >   }< / div >
< div class = "line" > < a name = "l00783" > < / a > < span class = "lineno" > 783< / span >   < / div >
< div class = "line" > < a name = "l00784" > < / a > < span class = "lineno" > 784< / span >   } < span class = "comment" > // namespace< / span > < / div >
< div class = "line" > < a name = "l00785" > < / a > < span class = "lineno" > 785< / span >   < / div >
< div class = "line" > < a name = "l00786" > < / a > < span class = "lineno" > 786< / span >   < span class = "comment" > // The algorithm first computes into col_scratchpad_ the entries in pivot_row< / span > < / div >
< div class = "line" > < a name = "l00787" > < / a > < span class = "lineno" > 787< / span >   < span class = "comment" > // that are not in the row (i.e. the fill-in). It then updates the non-zero< / span > < / div >
< div class = "line" > < a name = "l00788" > < / a > < span class = "lineno" > 788< / span >   < span class = "comment" > // pattern using this temporary vector.< / span > < / div >
< div class = "line" > < a name = "l00789" > < / a > < span class = "lineno" > 789< / span >   < span class = "keywordtype" > void< / span > MatrixNonZeroPattern::MergeIntoSorted(RowIndex pivot_row, RowIndex < a class = "code" href = "markowitz_8cc.html#aea35f36ba98d5bbd8d033382f50c9e52" > row< / a > ) {< / div >
< div class = "line" > < a name = "l00790" > < / a > < span class = "lineno" > 790< / span >   < span class = "comment" > // We want to add the entries of the input not already in the output.< / span > < / div >
< div class = "line" > < a name = "l00791" > < / a > < span class = "lineno" > 791< / span >   < span class = "keyword" > const< / span > < span class = "keyword" > auto< / span > & < a class = "code" href = "parser_8yy_8cc.html#a5a634cf4429798b1c921a81de8250051" > input< / a > = row_non_zero_[pivot_row];< / div >
< div class = "line" > < a name = "l00792" > < / a > < span class = "lineno" > 792< / span >   < span class = "keyword" > const< / span > < span class = "keyword" > auto< / span > & output = row_non_zero_[< a class = "code" href = "markowitz_8cc.html#aea35f36ba98d5bbd8d033382f50c9e52" > row< / a > ];< / div >
< div class = "line" > < a name = "l00793" > < / a > < span class = "lineno" > 793< / span >   < / div >
< div class = "line" > < a name = "l00794" > < / a > < span class = "lineno" > 794< / span >   < span class = "comment" > // These two resizes are because of the set_difference() output iterator api.< / span > < / div >
< div class = "line" > < a name = "l00795" > < / a > < span class = "lineno" > 795< / span >   col_scratchpad_.resize(< a class = "code" href = "parser_8yy_8cc.html#a5a634cf4429798b1c921a81de8250051" > input< / a > .size());< / div >
< div class = "line" > < a name = "l00796" > < / a > < span class = "lineno" > 796< / span >   col_scratchpad_.resize(std::set_difference(< a class = "code" href = "parser_8yy_8cc.html#a5a634cf4429798b1c921a81de8250051" > input< / a > .begin(), < a class = "code" href = "parser_8yy_8cc.html#a5a634cf4429798b1c921a81de8250051" > input< / a > .end(),< / div >
< div class = "line" > < a name = "l00797" > < / a > < span class = "lineno" > 797< / span >   output.begin(), output.end(),< / div >
< div class = "line" > < a name = "l00798" > < / a > < span class = "lineno" > 798< / span >   col_scratchpad_.begin()) -< / div >
< div class = "line" > < a name = "l00799" > < / a > < span class = "lineno" > 799< / span >   col_scratchpad_.begin());< / div >
< div class = "line" > < a name = "l00800" > < / a > < span class = "lineno" > 800< / span >   < / div >
< div class = "line" > < a name = "l00801" > < / a > < span class = "lineno" > 801< / span >   < span class = "comment" > // Add the fill-in to the pattern.< / span > < / div >
< div class = "line" > < a name = "l00802" > < / a > < span class = "lineno" > 802< / span >   < span class = "keywordflow" > for< / span > (< span class = "keyword" > const< / span > ColIndex < a class = "code" href = "markowitz_8cc.html#aa9d6c98fdf8d89b0e2321fda02adc82c" > col< / a > : col_scratchpad_) {< / div >
< div class = "line" > < a name = "l00803" > < / a > < span class = "lineno" > 803< / span >   ++col_degree_[< a class = "code" href = "markowitz_8cc.html#aa9d6c98fdf8d89b0e2321fda02adc82c" > col< / a > ];< / div >
< div class = "line" > < a name = "l00804" > < / a > < span class = "lineno" > 804< / span >   }< / div >
< div class = "line" > < a name = "l00805" > < / a > < span class = "lineno" > 805< / span >   row_degree_[< a class = "code" href = "markowitz_8cc.html#aea35f36ba98d5bbd8d033382f50c9e52" > row< / a > ] += col_scratchpad_.< a class = "code" href = "classoperations__research_1_1glop_1_1_strict_i_t_i_vector.html#a967a5c081ad4195a30c78dc2c0bcabf5" > size< / a > ();< / div >
< div class = "line" > < a name = "l00806" > < / a > < span class = "lineno" > 806< / span >   MergeSortedVectors(col_scratchpad_, & row_non_zero_[< a class = "code" href = "markowitz_8cc.html#aea35f36ba98d5bbd8d033382f50c9e52" > row< / a > ]);< / div >
< div class = "line" > < a name = "l00807" > < / a > < span class = "lineno" > 807< / span >   }< / div >
< div class = "line" > < a name = "l00808" > < / a > < span class = "lineno" > 808< / span >   < / div >
< div class = "line" > < a name = "l00809" > < / a > < span class = "lineno" > < a class = "line" href = "classoperations__research_1_1glop_1_1_column_priority_queue.html#aa71d36872f416feaa853788a7a7a7ef8" > 809< / a > < / span >   < span class = "keywordtype" > void< / span > < a class = "code" href = "classoperations__research_1_1glop_1_1_column_priority_queue.html#aa71d36872f416feaa853788a7a7a7ef8" > ColumnPriorityQueue::Clear< / a > () {< / div >
< div class = "line" > < a name = "l00810" > < / a > < span class = "lineno" > 810< / span >   col_degree_.< a class = "code" href = "classabsl_1_1_strong_vector.html#ac8bb3912a3ce86b15842e79d0b421204" > clear< / a > ();< / div >
< div class = "line" > < a name = "l00811" > < / a > < span class = "lineno" > 811< / span >   col_index_.< a class = "code" href = "classabsl_1_1_strong_vector.html#ac8bb3912a3ce86b15842e79d0b421204" > clear< / a > ();< / div >
< div class = "line" > < a name = "l00812" > < / a > < span class = "lineno" > 812< / span >   col_by_degree_.clear();< / div >
< div class = "line" > < a name = "l00813" > < / a > < span class = "lineno" > 813< / span >   }< / div >
< div class = "line" > < a name = "l00814" > < / a > < span class = "lineno" > 814< / span >   < / div >
< div class = "line" > < a name = "l00815" > < / a > < span class = "lineno" > < a class = "line" href = "classoperations__research_1_1glop_1_1_column_priority_queue.html#a026a7cba6cd132662dae0468f395d3cf" > 815< / a > < / span >   < span class = "keywordtype" > void< / span > < a class = "code" href = "classoperations__research_1_1glop_1_1_column_priority_queue.html#a026a7cba6cd132662dae0468f395d3cf" > ColumnPriorityQueue::Reset< / a > (< span class = "keywordtype" > int< / span > max_degree, ColIndex num_cols) {< / div >
< div class = "line" > < a name = "l00816" > < / a > < span class = "lineno" > 816< / span >   < a class = "code" href = "classoperations__research_1_1glop_1_1_column_priority_queue.html#aa71d36872f416feaa853788a7a7a7ef8" > Clear< / a > ();< / div >
< div class = "line" > < a name = "l00817" > < / a > < span class = "lineno" > 817< / span >   col_degree_.< a class = "code" href = "classoperations__research_1_1glop_1_1_strict_i_t_i_vector.html#af8d7048738ceb4c753b040e6d29db79c" > assign< / a > (num_cols, 0);< / div >
< div class = "line" > < a name = "l00818" > < / a > < span class = "lineno" > 818< / span >   col_index_.< a class = "code" href = "classoperations__research_1_1glop_1_1_strict_i_t_i_vector.html#af8d7048738ceb4c753b040e6d29db79c" > assign< / a > (num_cols, -1);< / div >
< div class = "line" > < a name = "l00819" > < / a > < span class = "lineno" > 819< / span >   col_by_degree_.resize(max_degree + 1);< / div >
< div class = "line" > < a name = "l00820" > < / a > < span class = "lineno" > 820< / span >   min_degree_ = num_cols.value();< / div >
< div class = "line" > < a name = "l00821" > < / a > < span class = "lineno" > 821< / span >   }< / div >
< div class = "line" > < a name = "l00822" > < / a > < span class = "lineno" > 822< / span >   < / div >
< div class = "line" > < a name = "l00823" > < / a > < span class = "lineno" > < a class = "line" href = "classoperations__research_1_1glop_1_1_column_priority_queue.html#a0a601ea6856d6a6162a705fe6ab48cbc" > 823< / a > < / span >   < span class = "keywordtype" > void< / span > < a class = "code" href = "classoperations__research_1_1glop_1_1_column_priority_queue.html#a0a601ea6856d6a6162a705fe6ab48cbc" > ColumnPriorityQueue::PushOrAdjust< / a > (ColIndex < a class = "code" href = "markowitz_8cc.html#aa9d6c98fdf8d89b0e2321fda02adc82c" > col< / a > , int32_t degree) {< / div >
< div class = "line" > < a name = "l00824" > < / a > < span class = "lineno" > 824< / span >   < a class = "code" href = "base_2logging_8h.html#aae2dc65d9ea248d54bf39daa986dd295" > DCHECK_GE< / a > (degree, 0);< / div >
< div class = "line" > < a name = "l00825" > < / a > < span class = "lineno" > 825< / span >   < a class = "code" href = "base_2logging_8h.html#ab62f5ed8f2d48e29802be0cbbcd1359a" > DCHECK_LT< / a > (degree, col_by_degree_.size());< / div >
< div class = "line" > < a name = "l00826" > < / a > < span class = "lineno" > 826< / span >   < span class = "keyword" > const< / span > int32_t old_degree = col_degree_[< a class = "code" href = "markowitz_8cc.html#aa9d6c98fdf8d89b0e2321fda02adc82c" > col< / a > ];< / div >
< div class = "line" > < a name = "l00827" > < / a > < span class = "lineno" > 827< / span >   < span class = "keywordflow" > if< / span > (degree != old_degree) {< / div >
< div class = "line" > < a name = "l00828" > < / a > < span class = "lineno" > 828< / span >   < span class = "keyword" > const< / span > int32_t old_index = col_index_[< a class = "code" href = "markowitz_8cc.html#aa9d6c98fdf8d89b0e2321fda02adc82c" > col< / a > ];< / div >
< div class = "line" > < a name = "l00829" > < / a > < span class = "lineno" > 829< / span >   < span class = "keywordflow" > if< / span > (old_index != -1) {< / div >
< div class = "line" > < a name = "l00830" > < / a > < span class = "lineno" > 830< / span >   col_by_degree_[old_degree][old_index] = col_by_degree_[old_degree].back();< / div >
< div class = "line" > < a name = "l00831" > < / a > < span class = "lineno" > 831< / span >   col_index_[col_by_degree_[old_degree].back()] = old_index;< / div >
< div class = "line" > < a name = "l00832" > < / a > < span class = "lineno" > 832< / span >   col_by_degree_[old_degree].< a class = "code" href = "classabsl_1_1_strong_vector.html#a058bda4957df6a97b1ea6c9fd783f672" > pop_back< / a > ();< / div >
< div class = "line" > < a name = "l00833" > < / a > < span class = "lineno" > 833< / span >   }< / div >
< div class = "line" > < a name = "l00834" > < / a > < span class = "lineno" > 834< / span >   < span class = "keywordflow" > if< / span > (degree > 0) {< / div >
< div class = "line" > < a name = "l00835" > < / a > < span class = "lineno" > 835< / span >   col_index_[< a class = "code" href = "markowitz_8cc.html#aa9d6c98fdf8d89b0e2321fda02adc82c" > col< / a > ] = col_by_degree_[degree].size();< / div >
< div class = "line" > < a name = "l00836" > < / a > < span class = "lineno" > 836< / span >   col_degree_[< a class = "code" href = "markowitz_8cc.html#aa9d6c98fdf8d89b0e2321fda02adc82c" > col< / a > ] = degree;< / div >
< div class = "line" > < a name = "l00837" > < / a > < span class = "lineno" > 837< / span >   col_by_degree_[degree].push_back(< a class = "code" href = "markowitz_8cc.html#aa9d6c98fdf8d89b0e2321fda02adc82c" > col< / a > );< / div >
< div class = "line" > < a name = "l00838" > < / a > < span class = "lineno" > 838< / span >   min_degree_ = < a class = "code" href = "alldiff__cst_8cc.html#ad10edae0a852d72fb76afb1c77735045" > std::min< / a > (min_degree_, degree);< / div >
< div class = "line" > < a name = "l00839" > < / a > < span class = "lineno" > 839< / span >   } < span class = "keywordflow" > else< / span > {< / div >
< div class = "line" > < a name = "l00840" > < / a > < span class = "lineno" > 840< / span >   col_index_[< a class = "code" href = "markowitz_8cc.html#aa9d6c98fdf8d89b0e2321fda02adc82c" > col< / a > ] = -1;< / div >
< div class = "line" > < a name = "l00841" > < / a > < span class = "lineno" > 841< / span >   col_degree_[< a class = "code" href = "markowitz_8cc.html#aa9d6c98fdf8d89b0e2321fda02adc82c" > col< / a > ] = 0;< / div >
< div class = "line" > < a name = "l00842" > < / a > < span class = "lineno" > 842< / span >   }< / div >
< div class = "line" > < a name = "l00843" > < / a > < span class = "lineno" > 843< / span >   }< / div >
< div class = "line" > < a name = "l00844" > < / a > < span class = "lineno" > 844< / span >   }< / div >
< div class = "line" > < a name = "l00845" > < / a > < span class = "lineno" > 845< / span >   < / div >
< div class = "line" > < a name = "l00846" > < / a > < span class = "lineno" > < a class = "line" href = "classoperations__research_1_1glop_1_1_column_priority_queue.html#a49e7d07685ccac64b842fa1b1cc9a3cc" > 846< / a > < / span >   ColIndex < a class = "code" href = "classoperations__research_1_1glop_1_1_column_priority_queue.html#a49e7d07685ccac64b842fa1b1cc9a3cc" > ColumnPriorityQueue::Pop< / a > () {< / div >
< div class = "line" > < a name = "l00847" > < / a > < span class = "lineno" > 847< / span >   < span class = "keywordflow" > while< / span > (col_by_degree_[min_degree_].empty()) {< / div >
< div class = "line" > < a name = "l00848" > < / a > < span class = "lineno" > 848< / span >   min_degree_++;< / div >
< div class = "line" > < a name = "l00849" > < / a > < span class = "lineno" > 849< / span >   < span class = "keywordflow" > if< / span > (min_degree_ == col_by_degree_.size()) < span class = "keywordflow" > return< / span > < a class = "code" href = "namespaceoperations__research_1_1glop.html#afb755b7934d8679476e2f05a89739bcd" > kInvalidCol< / a > ;< / div >
< div class = "line" > < a name = "l00850" > < / a > < span class = "lineno" > 850< / span >   }< / div >
< div class = "line" > < a name = "l00851" > < / a > < span class = "lineno" > 851< / span >   < span class = "keyword" > const< / span > ColIndex < a class = "code" href = "markowitz_8cc.html#aa9d6c98fdf8d89b0e2321fda02adc82c" > col< / a > = col_by_degree_[min_degree_].back();< / div >
< div class = "line" > < a name = "l00852" > < / a > < span class = "lineno" > 852< / span >   col_by_degree_[min_degree_].pop_back();< / div >
< div class = "line" > < a name = "l00853" > < / a > < span class = "lineno" > 853< / span >   col_index_[< a class = "code" href = "markowitz_8cc.html#aa9d6c98fdf8d89b0e2321fda02adc82c" > col< / a > ] = -1;< / div >
< div class = "line" > < a name = "l00854" > < / a > < span class = "lineno" > 854< / span >   col_degree_[< a class = "code" href = "markowitz_8cc.html#aa9d6c98fdf8d89b0e2321fda02adc82c" > col< / a > ] = 0;< / div >
< div class = "line" > < a name = "l00855" > < / a > < span class = "lineno" > 855< / span >   < span class = "keywordflow" > return< / span > < a class = "code" href = "markowitz_8cc.html#aa9d6c98fdf8d89b0e2321fda02adc82c" > col< / a > ;< / div >
< div class = "line" > < a name = "l00856" > < / a > < span class = "lineno" > 856< / span >   }< / div >
< div class = "line" > < a name = "l00857" > < / a > < span class = "lineno" > 857< / span >   < / div >
< div class = "line" > < a name = "l00858" > < / a > < span class = "lineno" > < a class = "line" href = "classoperations__research_1_1glop_1_1_sparse_matrix_with_reusable_column_memory.html#a1eb060a55278923620fda32549d18ae7" > 858< / a > < / span >   < span class = "keywordtype" > void< / span > < a class = "code" href = "classoperations__research_1_1glop_1_1_sparse_matrix_with_reusable_column_memory.html#a1eb060a55278923620fda32549d18ae7" > SparseMatrixWithReusableColumnMemory::Reset< / a > (ColIndex num_cols) {< / div >
< div class = "line" > < a name = "l00859" > < / a > < span class = "lineno" > 859< / span >   mapping_.< a class = "code" href = "classabsl_1_1_strong_vector.html#a184fe69018ae421dcf31c964bfe40576" > assign< / a > (num_cols.value(), -1);< / div >
< div class = "line" > < a name = "l00860" > < / a > < span class = "lineno" > 860< / span >   free_columns_.clear();< / div >
< div class = "line" > < a name = "l00861" > < / a > < span class = "lineno" > 861< / span >   columns_.clear();< / div >
< div class = "line" > < a name = "l00862" > < / a > < span class = "lineno" > 862< / span >   }< / div >
< div class = "line" > < a name = "l00863" > < / a > < span class = "lineno" > 863< / span >   < / div >
< div class = "line" > < a name = "l00864" > < / a > < span class = "lineno" > < a class = "line" href = "classoperations__research_1_1glop_1_1_sparse_matrix_with_reusable_column_memory.html#a7273cc492a51a1c5d45c620b32fce502" > 864< / a > < / span >   < span class = "keyword" > const< / span > < a class = "code" href = "classoperations__research_1_1glop_1_1_sparse_column.html" > SparseColumn< / a > & < a class = "code" href = "classoperations__research_1_1glop_1_1_sparse_matrix_with_reusable_column_memory.html#a7273cc492a51a1c5d45c620b32fce502" > SparseMatrixWithReusableColumnMemory::column< / a > (< / div >
< div class = "line" > < a name = "l00865" > < / a > < span class = "lineno" > 865< / span >   ColIndex < a class = "code" href = "markowitz_8cc.html#aa9d6c98fdf8d89b0e2321fda02adc82c" > col< / a > )< span class = "keyword" > const < / span > {< / div >
< div class = "line" > < a name = "l00866" > < / a > < span class = "lineno" > 866< / span >   < span class = "keywordflow" > if< / span > (mapping_[< a class = "code" href = "markowitz_8cc.html#aa9d6c98fdf8d89b0e2321fda02adc82c" > col< / a > ] == -1) < span class = "keywordflow" > return< / span > empty_column_;< / div >
< div class = "line" > < a name = "l00867" > < / a > < span class = "lineno" > 867< / span >   < span class = "keywordflow" > return< / span > columns_[mapping_[< a class = "code" href = "markowitz_8cc.html#aa9d6c98fdf8d89b0e2321fda02adc82c" > col< / a > ]];< / div >
< div class = "line" > < a name = "l00868" > < / a > < span class = "lineno" > 868< / span >   }< / div >
< div class = "line" > < a name = "l00869" > < / a > < span class = "lineno" > 869< / span >   < / div >
< div class = "line" > < a name = "l00870" > < / a > < span class = "lineno" > < a class = "line" href = "classoperations__research_1_1glop_1_1_sparse_matrix_with_reusable_column_memory.html#a564caf35589006190ef4985fbda74faa" > 870< / a > < / span >   < a class = "code" href = "classoperations__research_1_1glop_1_1_sparse_column.html" > SparseColumn< / a > * < a class = "code" href = "classoperations__research_1_1glop_1_1_sparse_matrix_with_reusable_column_memory.html#a564caf35589006190ef4985fbda74faa" > SparseMatrixWithReusableColumnMemory::mutable_column< / a > (< / div >
< div class = "line" > < a name = "l00871" > < / a > < span class = "lineno" > 871< / span >   ColIndex < a class = "code" href = "markowitz_8cc.html#aa9d6c98fdf8d89b0e2321fda02adc82c" > col< / a > ) {< / div >
< div class = "line" > < a name = "l00872" > < / a > < span class = "lineno" > 872< / span >   < span class = "keywordflow" > if< / span > (mapping_[< a class = "code" href = "markowitz_8cc.html#aa9d6c98fdf8d89b0e2321fda02adc82c" > col< / a > ] != -1) < span class = "keywordflow" > return< / span > & columns_[mapping_[< a class = "code" href = "markowitz_8cc.html#aa9d6c98fdf8d89b0e2321fda02adc82c" > col< / a > ]];< / div >
< div class = "line" > < a name = "l00873" > < / a > < span class = "lineno" > 873< / span >   < span class = "keywordtype" > int< / span > new_col_index;< / div >
< div class = "line" > < a name = "l00874" > < / a > < span class = "lineno" > 874< / span >   < span class = "keywordflow" > if< / span > (free_columns_.empty()) {< / div >
< div class = "line" > < a name = "l00875" > < / a > < span class = "lineno" > 875< / span >   new_col_index = columns_.size();< / div >
< div class = "line" > < a name = "l00876" > < / a > < span class = "lineno" > 876< / span >   columns_.push_back(< a class = "code" href = "classoperations__research_1_1glop_1_1_sparse_column.html" > SparseColumn< / a > ());< / div >
< div class = "line" > < a name = "l00877" > < / a > < span class = "lineno" > 877< / span >   } < span class = "keywordflow" > else< / span > {< / div >
< div class = "line" > < a name = "l00878" > < / a > < span class = "lineno" > 878< / span >   new_col_index = free_columns_.back();< / div >
< div class = "line" > < a name = "l00879" > < / a > < span class = "lineno" > 879< / span >   free_columns_.pop_back();< / div >
< div class = "line" > < a name = "l00880" > < / a > < span class = "lineno" > 880< / span >   }< / div >
< div class = "line" > < a name = "l00881" > < / a > < span class = "lineno" > 881< / span >   mapping_[< a class = "code" href = "markowitz_8cc.html#aa9d6c98fdf8d89b0e2321fda02adc82c" > col< / a > ] = new_col_index;< / div >
< div class = "line" > < a name = "l00882" > < / a > < span class = "lineno" > 882< / span >   < span class = "keywordflow" > return< / span > & columns_[new_col_index];< / div >
< div class = "line" > < a name = "l00883" > < / a > < span class = "lineno" > 883< / span >   }< / div >
< div class = "line" > < a name = "l00884" > < / a > < span class = "lineno" > 884< / span >   < / div >
< div class = "line" > < a name = "l00885" > < / a > < span class = "lineno" > < a class = "line" href = "classoperations__research_1_1glop_1_1_sparse_matrix_with_reusable_column_memory.html#a4d3e4198a395b77980b341d40ddb8b3c" > 885< / a > < / span >   < span class = "keywordtype" > void< / span > < a class = "code" href = "classoperations__research_1_1glop_1_1_sparse_matrix_with_reusable_column_memory.html#a4d3e4198a395b77980b341d40ddb8b3c" > SparseMatrixWithReusableColumnMemory::ClearAndReleaseColumn< / a > (ColIndex < a class = "code" href = "markowitz_8cc.html#aa9d6c98fdf8d89b0e2321fda02adc82c" > col< / a > ) {< / div >
< div class = "line" > < a name = "l00886" > < / a > < span class = "lineno" > 886< / span >   < a class = "code" href = "base_2logging_8h.html#a46e69120fbd3b36e6960e096d23b66f0" > DCHECK_NE< / a > (mapping_[< a class = "code" href = "markowitz_8cc.html#aa9d6c98fdf8d89b0e2321fda02adc82c" > col< / a > ], -1);< / div >
< div class = "line" > < a name = "l00887" > < / a > < span class = "lineno" > 887< / span >   free_columns_.push_back(mapping_[< a class = "code" href = "markowitz_8cc.html#aa9d6c98fdf8d89b0e2321fda02adc82c" > col< / a > ]);< / div >
< div class = "line" > < a name = "l00888" > < / a > < span class = "lineno" > 888< / span >   columns_[mapping_[< a class = "code" href = "markowitz_8cc.html#aa9d6c98fdf8d89b0e2321fda02adc82c" > col< / a > ]].Clear();< / div >
< div class = "line" > < a name = "l00889" > < / a > < span class = "lineno" > 889< / span >   mapping_[< a class = "code" href = "markowitz_8cc.html#aa9d6c98fdf8d89b0e2321fda02adc82c" > col< / a > ] = -1;< / div >
< div class = "line" > < a name = "l00890" > < / a > < span class = "lineno" > 890< / span >   }< / div >
< div class = "line" > < a name = "l00891" > < / a > < span class = "lineno" > 891< / span >   < / div >
< div class = "line" > < a name = "l00892" > < / a > < span class = "lineno" > < a class = "line" href = "classoperations__research_1_1glop_1_1_sparse_matrix_with_reusable_column_memory.html#aa71d36872f416feaa853788a7a7a7ef8" > 892< / a > < / span >   < span class = "keywordtype" > void< / span > < a class = "code" href = "classoperations__research_1_1glop_1_1_sparse_matrix_with_reusable_column_memory.html#aa71d36872f416feaa853788a7a7a7ef8" > SparseMatrixWithReusableColumnMemory::Clear< / a > () {< / div >
< div class = "line" > < a name = "l00893" > < / a > < span class = "lineno" > 893< / span >   mapping_.< a class = "code" href = "classabsl_1_1_strong_vector.html#ac8bb3912a3ce86b15842e79d0b421204" > clear< / a > ();< / div >
< div class = "line" > < a name = "l00894" > < / a > < span class = "lineno" > 894< / span >   free_columns_.clear();< / div >
< div class = "line" > < a name = "l00895" > < / a > < span class = "lineno" > 895< / span >   columns_.clear();< / div >
< div class = "line" > < a name = "l00896" > < / a > < span class = "lineno" > 896< / span >   }< / div >
< div class = "line" > < a name = "l00897" > < / a > < span class = "lineno" > 897< / span >   < / div >
< div class = "line" > < a name = "l00898" > < / a > < span class = "lineno" > 898< / span >   } < span class = "comment" > // namespace glop< / span > < / div >
< div class = "line" > < a name = "l00899" > < / a > < span class = "lineno" > 899< / span >   } < span class = "comment" > // namespace operations_research< / span > < / div >
< div class = "ttc" id = "aalldiff__cst_8cc_html_a26e6db9bcc64b584051ecc28171ed11f" > < div class = "ttname" > < a href = "alldiff__cst_8cc.html#a26e6db9bcc64b584051ecc28171ed11f" > max< / a > < / div > < div class = "ttdeci" > int64_t max< / div > < div class = "ttdef" > < b > Definition:< / b > < a href = "alldiff__cst_8cc_source.html#l00140" > alldiff_cst.cc:140< / a > < / div > < / div >
< div class = "ttc" id = "aalldiff__cst_8cc_html_ad10edae0a852d72fb76afb1c77735045" > < div class = "ttname" > < a href = "alldiff__cst_8cc.html#ad10edae0a852d72fb76afb1c77735045" > min< / a > < / div > < div class = "ttdeci" > int64_t min< / div > < div class = "ttdef" > < b > Definition:< / b > < a href = "alldiff__cst_8cc_source.html#l00139" > alldiff_cst.cc:139< / a > < / div > < / div >
< div class = "ttc" id = "abase_2logging_8h_html_a46e69120fbd3b36e6960e096d23b66f0" > < div class = "ttname" > < a href = "base_2logging_8h.html#a46e69120fbd3b36e6960e096d23b66f0" > DCHECK_NE< / a > < / div > < div class = "ttdeci" > #define DCHECK_NE(val1, val2)< / div > < div class = "ttdef" > < b > Definition:< / b > < a href = "base_2logging_8h_source.html#l00894" > base/logging.h:894< / a > < / div > < / div >
< div class = "ttc" id = "abase_2logging_8h_html_aae2dc65d9ea248d54bf39daa986dd295" > < div class = "ttname" > < a href = "base_2logging_8h.html#aae2dc65d9ea248d54bf39daa986dd295" > DCHECK_GE< / a > < / div > < div class = "ttdeci" > #define DCHECK_GE(val1, val2)< / div > < div class = "ttdef" > < b > Definition:< / b > < a href = "base_2logging_8h_source.html#l00897" > base/logging.h:897< / a > < / div > < / div >
< div class = "ttc" id = "abase_2logging_8h_html_ab62f5ed8f2d48e29802be0cbbcd1359a" > < div class = "ttname" > < a href = "base_2logging_8h.html#ab62f5ed8f2d48e29802be0cbbcd1359a" > DCHECK_LT< / a > < / div > < div class = "ttdeci" > #define DCHECK_LT(val1, val2)< / div > < div class = "ttdef" > < b > Definition:< / b > < a href = "base_2logging_8h_source.html#l00896" > base/logging.h:896< / a > < / div > < / div >
< div class = "ttc" id = "abase_2logging_8h_html_ae17f8119c108cf3070bad3449c7e0006" > < div class = "ttname" > < a href = "base_2logging_8h.html#ae17f8119c108cf3070bad3449c7e0006" > DCHECK< / a > < / div > < div class = "ttdeci" > #define DCHECK(condition)< / div > < div class = "ttdef" > < b > Definition:< / b > < a href = "base_2logging_8h_source.html#l00892" > base/logging.h:892< / a > < / div > < / div >
< div class = "ttc" id = "abase_2logging_8h_html_ae89df3243bbb8341130c7b3f44145ea0" > < div class = "ttname" > < a href = "base_2logging_8h.html#ae89df3243bbb8341130c7b3f44145ea0" > DCHECK_EQ< / a > < / div > < div class = "ttdeci" > #define DCHECK_EQ(val1, val2)< / div > < div class = "ttdef" > < b > Definition:< / b > < a href = "base_2logging_8h_source.html#l00893" > base/logging.h:893< / a > < / div > < / div >
< div class = "ttc" id = "abase_2logging_8h_html_afcaa7cadd41741bb855c2ada1d2ef927" > < div class = "ttname" > < a href = "base_2logging_8h.html#afcaa7cadd41741bb855c2ada1d2ef927" > VLOG< / a > < / div > < div class = "ttdeci" > #define VLOG(verboselevel)< / div > < div class = "ttdef" > < b > Definition:< / b > < a href = "base_2logging_8h_source.html#l00986" > base/logging.h:986< / a > < / div > < / div >
2021-01-26 11:28:50 +01:00
< div class = "ttc" id = "aclassabsl_1_1_strong_vector_html_a058bda4957df6a97b1ea6c9fd783f672" > < div class = "ttname" > < a href = "classabsl_1_1_strong_vector.html#a058bda4957df6a97b1ea6c9fd783f672" > absl::StrongVector::pop_back< / a > < / div > < div class = "ttdeci" > void pop_back()< / div > < div class = "ttdef" > < b > Definition:< / b > < a href = "strong__vector_8h_source.html#l00168" > strong_vector.h:168< / a > < / div > < / div >
< div class = "ttc" id = "aclassabsl_1_1_strong_vector_html_a184fe69018ae421dcf31c964bfe40576" > < div class = "ttname" > < a href = "classabsl_1_1_strong_vector.html#a184fe69018ae421dcf31c964bfe40576" > absl::StrongVector::assign< / a > < / div > < div class = "ttdeci" > void assign(size_type n, const value_type & val)< / div > < div class = "ttdef" > < b > Definition:< / b > < a href = "strong__vector_8h_source.html#l00131" > strong_vector.h:131< / a > < / div > < / div >
< div class = "ttc" id = "aclassabsl_1_1_strong_vector_html_a4e3670a285a3642eaa07f66766cffa72" > < div class = "ttname" > < a href = "classabsl_1_1_strong_vector.html#a4e3670a285a3642eaa07f66766cffa72" > absl::StrongVector::resize< / a > < / div > < div class = "ttdeci" > void resize(size_type new_size)< / div > < div class = "ttdef" > < b > Definition:< / b > < a href = "strong__vector_8h_source.html#l00150" > strong_vector.h:150< / a > < / div > < / div >
< div class = "ttc" id = "aclassabsl_1_1_strong_vector_html_a562f7b24b47d3e7632a9896935c14d8b" > < div class = "ttname" > < a href = "classabsl_1_1_strong_vector.html#a562f7b24b47d3e7632a9896935c14d8b" > absl::StrongVector::reserve< / a > < / div > < div class = "ttdeci" > void reserve(size_type n)< / div > < div class = "ttdef" > < b > Definition:< / b > < a href = "strong__vector_8h_source.html#l00157" > strong_vector.h:157< / a > < / div > < / div >
2020-12-07 17:47:46 +01:00
< div class = "ttc" id = "aclassabsl_1_1_strong_vector_html_a60304b65bf89363bcc3165d3cde67f86" > < div class = "ttname" > < a href = "classabsl_1_1_strong_vector.html#a60304b65bf89363bcc3165d3cde67f86" > absl::StrongVector::size< / a > < / div > < div class = "ttdeci" > size_type size() const< / div > < div class = "ttdef" > < b > Definition:< / b > < a href = "strong__vector_8h_source.html#l00147" > strong_vector.h:147< / a > < / div > < / div >
2021-01-26 11:28:50 +01:00
< div class = "ttc" id = "aclassabsl_1_1_strong_vector_html_a9263000d449fdccb6cb70b303063e60b" > < div class = "ttname" > < a href = "classabsl_1_1_strong_vector.html#a9263000d449fdccb6cb70b303063e60b" > absl::StrongVector::push_back< / a > < / div > < div class = "ttdeci" > void push_back(const value_type & x)< / div > < div class = "ttdef" > < b > Definition:< / b > < a href = "strong__vector_8h_source.html#l00158" > strong_vector.h:158< / a > < / div > < / div >
< div class = "ttc" id = "aclassabsl_1_1_strong_vector_html_ac8bb3912a3ce86b15842e79d0b421204" > < div class = "ttname" > < a href = "classabsl_1_1_strong_vector.html#ac8bb3912a3ce86b15842e79d0b421204" > absl::StrongVector::clear< / a > < / div > < div class = "ttdeci" > void clear()< / div > < div class = "ttdef" > < b > Definition:< / b > < a href = "strong__vector_8h_source.html#l00170" > strong_vector.h:170< / a > < / div > < / div >
2021-04-27 23:00:03 +02:00
< div class = "ttc" id = "aclassoperations__research_1_1glop_1_1_column_priority_queue_html_a026a7cba6cd132662dae0468f395d3cf" > < div class = "ttname" > < a href = "classoperations__research_1_1glop_1_1_column_priority_queue.html#a026a7cba6cd132662dae0468f395d3cf" > operations_research::glop::ColumnPriorityQueue::Reset< / a > < / div > < div class = "ttdeci" > void Reset(int32_t max_degree, ColIndex num_cols)< / div > < div class = "ttdef" > < b > Definition:< / b > < a href = "markowitz_8cc_source.html#l00815" > markowitz.cc:815< / a > < / div > < / div >
< div class = "ttc" id = "aclassoperations__research_1_1glop_1_1_column_priority_queue_html_a0a601ea6856d6a6162a705fe6ab48cbc" > < div class = "ttname" > < a href = "classoperations__research_1_1glop_1_1_column_priority_queue.html#a0a601ea6856d6a6162a705fe6ab48cbc" > operations_research::glop::ColumnPriorityQueue::PushOrAdjust< / a > < / div > < div class = "ttdeci" > void PushOrAdjust(ColIndex col, int32_t degree)< / div > < div class = "ttdef" > < b > Definition:< / b > < a href = "markowitz_8cc_source.html#l00823" > markowitz.cc:823< / a > < / div > < / div >
< div class = "ttc" id = "aclassoperations__research_1_1glop_1_1_column_priority_queue_html_a49e7d07685ccac64b842fa1b1cc9a3cc" > < div class = "ttname" > < a href = "classoperations__research_1_1glop_1_1_column_priority_queue.html#a49e7d07685ccac64b842fa1b1cc9a3cc" > operations_research::glop::ColumnPriorityQueue::Pop< / a > < / div > < div class = "ttdeci" > ColIndex Pop()< / div > < div class = "ttdef" > < b > Definition:< / b > < a href = "markowitz_8cc_source.html#l00846" > markowitz.cc:846< / a > < / div > < / div >
< div class = "ttc" id = "aclassoperations__research_1_1glop_1_1_column_priority_queue_html_aa71d36872f416feaa853788a7a7a7ef8" > < div class = "ttname" > < a href = "classoperations__research_1_1glop_1_1_column_priority_queue.html#aa71d36872f416feaa853788a7a7a7ef8" > operations_research::glop::ColumnPriorityQueue::Clear< / a > < / div > < div class = "ttdeci" > void Clear()< / div > < div class = "ttdef" > < b > Definition:< / b > < a href = "markowitz_8cc_source.html#l00809" > markowitz.cc:809< / a > < / div > < / div >
2021-01-26 11:28:50 +01:00
< div class = "ttc" id = "aclassoperations__research_1_1glop_1_1_column_view_html_af69d9b7065a8f31604a8134be4307749" > < div class = "ttname" > < a href = "classoperations__research_1_1glop_1_1_column_view.html#af69d9b7065a8f31604a8134be4307749" > operations_research::glop::ColumnView::num_entries< / a > < / div > < div class = "ttdeci" > EntryIndex num_entries() const< / div > < div class = "ttdef" > < b > Definition:< / b > < a href = "sparse__column_8h_source.html#l00082" > sparse_column.h:82< / a > < / div > < / div >
< div class = "ttc" id = "aclassoperations__research_1_1glop_1_1_compact_sparse_matrix_view_html" > < div class = "ttname" > < a href = "classoperations__research_1_1glop_1_1_compact_sparse_matrix_view.html" > operations_research::glop::CompactSparseMatrixView< / a > < / div > < div class = "ttdef" > < b > Definition:< / b > < a href = "sparse_8h_source.html#l00471" > sparse.h:471< / a > < / div > < / div >
< div class = "ttc" id = "aclassoperations__research_1_1glop_1_1_compact_sparse_matrix_view_html_a41741829541d089f1c4d34f190884813" > < div class = "ttname" > < a href = "classoperations__research_1_1glop_1_1_compact_sparse_matrix_view.html#a41741829541d089f1c4d34f190884813" > operations_research::glop::CompactSparseMatrixView::num_cols< / a > < / div > < div class = "ttdeci" > ColIndex num_cols() const< / div > < div class = "ttdef" > < b > Definition:< / b > < a href = "sparse_8h_source.html#l00480" > sparse.h:480< / a > < / div > < / div >
< div class = "ttc" id = "aclassoperations__research_1_1glop_1_1_compact_sparse_matrix_view_html_a6c2cb025b83ee5d5365eb0b419a0298c" > < div class = "ttname" > < a href = "classoperations__research_1_1glop_1_1_compact_sparse_matrix_view.html#a6c2cb025b83ee5d5365eb0b419a0298c" > operations_research::glop::CompactSparseMatrixView::column< / a > < / div > < div class = "ttdeci" > const ColumnView column(ColIndex col) const< / div > < div class = "ttdef" > < b > Definition:< / b > < a href = "sparse_8h_source.html#l00481" > sparse.h:481< / a > < / div > < / div >
< div class = "ttc" id = "aclassoperations__research_1_1glop_1_1_compact_sparse_matrix_view_html_a8e12342fc420701fbffd97025421575a" > < div class = "ttname" > < a href = "classoperations__research_1_1glop_1_1_compact_sparse_matrix_view.html#a8e12342fc420701fbffd97025421575a" > operations_research::glop::CompactSparseMatrixView::IsEmpty< / a > < / div > < div class = "ttdeci" > bool IsEmpty() const< / div > < div class = "ttdef" > < b > Definition:< / b > < a href = "sparse_8h_source.html#l00478" > sparse.h:478< / a > < / div > < / div >
2020-10-09 12:00:09 +02:00
< div class = "ttc" id = "aclassoperations__research_1_1glop_1_1_compact_sparse_matrix_view_html_a960110e64357a3e69162ebf1f71959dd" > < div class = "ttname" > < a href = "classoperations__research_1_1glop_1_1_compact_sparse_matrix_view.html#a960110e64357a3e69162ebf1f71959dd" > operations_research::glop::CompactSparseMatrixView::num_rows< / a > < / div > < div class = "ttdeci" > RowIndex num_rows() const< / div > < div class = "ttdef" > < b > Definition:< / b > < a href = "sparse_8h_source.html#l00479" > sparse.h:479< / a > < / div > < / div >
2021-04-27 23:00:03 +02:00
< div class = "ttc" id = "aclassoperations__research_1_1glop_1_1_markowitz_html_a627511bf305a6af5d7e114817c1792c2" > < div class = "ttname" > < a href = "classoperations__research_1_1glop_1_1_markowitz.html#a627511bf305a6af5d7e114817c1792c2" > operations_research::glop::Markowitz::DeterministicTimeOfLastFactorization< / a > < / div > < div class = "ttdeci" > double DeterministicTimeOfLastFactorization() const< / div > < div class = "ttdef" > < b > Definition:< / b > < a href = "markowitz_8cc_source.html#l00553" > markowitz.cc:553< / a > < / div > < / div >
< div class = "ttc" id = "aclassoperations__research_1_1glop_1_1_markowitz_html_a7ac2557be8cf0394f9953fbdac2f18f4" > < div class = "ttname" > < a href = "classoperations__research_1_1glop_1_1_markowitz.html#a7ac2557be8cf0394f9953fbdac2f18f4" > operations_research::glop::Markowitz::ComputeLU< / a > < / div > < div class = "ttdeci" > ABSL_MUST_USE_RESULT Status ComputeLU(const CompactSparseMatrixView & basis_matrix, RowPermutation *row_perm, ColumnPermutation *col_perm, TriangularMatrix *lower, TriangularMatrix *upper)< / div > < div class = "ttdef" > < b > Definition:< / b > < a href = "markowitz_8cc_source.html#l00149" > markowitz.cc:149< / a > < / div > < / div >
< div class = "ttc" id = "aclassoperations__research_1_1glop_1_1_markowitz_html_aa71d36872f416feaa853788a7a7a7ef8" > < div class = "ttname" > < a href = "classoperations__research_1_1glop_1_1_markowitz.html#aa71d36872f416feaa853788a7a7a7ef8" > operations_research::glop::Markowitz::Clear< / a > < / div > < div class = "ttdeci" > void Clear()< / div > < div class = "ttdef" > < b > Definition:< / b > < a href = "markowitz_8cc_source.html#l00169" > markowitz.cc:169< / a > < / div > < / div >
< div class = "ttc" id = "aclassoperations__research_1_1glop_1_1_markowitz_html_afd3f022e573b8f4f0901624a813ade07" > < div class = "ttname" > < a href = "classoperations__research_1_1glop_1_1_markowitz.html#afd3f022e573b8f4f0901624a813ade07" > operations_research::glop::Markowitz::ComputeRowAndColumnPermutation< / a > < / div > < div class = "ttdeci" > ABSL_MUST_USE_RESULT Status ComputeRowAndColumnPermutation(const CompactSparseMatrixView & basis_matrix, RowPermutation *row_perm, ColumnPermutation *col_perm)< / div > < div class = "ttdef" > < b > Definition:< / b > < a href = "markowitz_8cc_source.html#l00027" > markowitz.cc:27< / a > < / div > < / div >
< div class = "ttc" id = "aclassoperations__research_1_1glop_1_1_matrix_non_zero_pattern_html_a1ef38cd7e00a3d31093afe05ef6e9b8a" > < div class = "ttname" > < a href = "classoperations__research_1_1glop_1_1_matrix_non_zero_pattern.html#a1ef38cd7e00a3d31093afe05ef6e9b8a" > operations_research::glop::MatrixNonZeroPattern::RowNonZero< / a > < / div > < div class = "ttdeci" > const absl::InlinedVector< ColIndex, 6 > & RowNonZero(RowIndex row) const< / div > < div class = "ttdef" > < b > Definition:< / b > < a href = "markowitz_8h_source.html#l00168" > markowitz.h:168< / a > < / div > < / div >
< div class = "ttc" id = "aclassoperations__research_1_1glop_1_1_matrix_non_zero_pattern_html_a1f59bbe4cda31ad0ee8a91c4bd57e945" > < div class = "ttname" > < a href = "classoperations__research_1_1glop_1_1_matrix_non_zero_pattern.html#a1f59bbe4cda31ad0ee8a91c4bd57e945" > operations_research::glop::MatrixNonZeroPattern::IsColumnDeleted< / a > < / div > < div class = "ttdeci" > bool IsColumnDeleted(ColIndex col) const< / div > < div class = "ttdef" > < b > Definition:< / b > < a href = "markowitz_8cc_source.html#l00652" > markowitz.cc:652< / a > < / div > < / div >
< div class = "ttc" id = "aclassoperations__research_1_1glop_1_1_matrix_non_zero_pattern_html_a2527e336adfc8144ee253eed236fa699" > < div class = "ttname" > < a href = "classoperations__research_1_1glop_1_1_matrix_non_zero_pattern.html#a2527e336adfc8144ee253eed236fa699" > operations_research::glop::MatrixNonZeroPattern::RemoveDeletedColumnsFromRow< / a > < / div > < div class = "ttdeci" > void RemoveDeletedColumnsFromRow(RowIndex row)< / div > < div class = "ttdef" > < b > Definition:< / b > < a href = "markowitz_8cc_source.html#l00656" > markowitz.cc:656< / a > < / div > < / div >
< div class = "ttc" id = "aclassoperations__research_1_1glop_1_1_matrix_non_zero_pattern_html_a25db8d6277cbd4811441929a1817dea0" > < div class = "ttname" > < a href = "classoperations__research_1_1glop_1_1_matrix_non_zero_pattern.html#a25db8d6277cbd4811441929a1817dea0" > operations_research::glop::MatrixNonZeroPattern::DecreaseColDegree< / a > < / div > < div class = "ttdeci" > int32_t DecreaseColDegree(ColIndex col)< / div > < div class = "ttdef" > < b > Definition:< / b > < a href = "markowitz_8cc_source.html#l00634" > markowitz.cc:634< / a > < / div > < / div >
< div class = "ttc" id = "aclassoperations__research_1_1glop_1_1_matrix_non_zero_pattern_html_a437a888007d0475cfaf07ac70538c458" > < div class = "ttname" > < a href = "classoperations__research_1_1glop_1_1_matrix_non_zero_pattern.html#a437a888007d0475cfaf07ac70538c458" > operations_research::glop::MatrixNonZeroPattern::DeleteRowAndColumn< / a > < / div > < div class = "ttdeci" > void DeleteRowAndColumn(RowIndex pivot_row, ColIndex pivot_col)< / div > < div class = "ttdef" > < b > Definition:< / b > < a href = "markowitz_8cc_source.html#l00642" > markowitz.cc:642< / a > < / div > < / div >
< div class = "ttc" id = "aclassoperations__research_1_1glop_1_1_matrix_non_zero_pattern_html_a44badccd63c183b774ba7bfb005aac9f" > < div class = "ttname" > < a href = "classoperations__research_1_1glop_1_1_matrix_non_zero_pattern.html#a44badccd63c183b774ba7bfb005aac9f" > operations_research::glop::MatrixNonZeroPattern::RowDegree< / a > < / div > < div class = "ttdeci" > int32_t RowDegree(RowIndex row) const< / div > < div class = "ttdef" > < b > Definition:< / b > < a href = "markowitz_8h_source.html#l00163" > markowitz.h:163< / a > < / div > < / div >
< div class = "ttc" id = "aclassoperations__research_1_1glop_1_1_matrix_non_zero_pattern_html_a8036bd4d1fc8a69112a1f7ed5493a924" > < div class = "ttname" > < a href = "classoperations__research_1_1glop_1_1_matrix_non_zero_pattern.html#a8036bd4d1fc8a69112a1f7ed5493a924" > operations_research::glop::MatrixNonZeroPattern::AddEntry< / a > < / div > < div class = "ttdeci" > void AddEntry(RowIndex row, ColIndex col)< / div > < div class = "ttdef" > < b > Definition:< / b > < a href = "markowitz_8cc_source.html#l00628" > markowitz.cc:628< / a > < / div > < / div >
< div class = "ttc" id = "aclassoperations__research_1_1glop_1_1_matrix_non_zero_pattern_html_a85e6c7ebc5ac22d117ff412e3658c72d" > < div class = "ttname" > < a href = "classoperations__research_1_1glop_1_1_matrix_non_zero_pattern.html#a85e6c7ebc5ac22d117ff412e3658c72d" > operations_research::glop::MatrixNonZeroPattern::Reset< / a > < / div > < div class = "ttdeci" > void Reset(RowIndex num_rows, ColIndex num_cols)< / div > < div class = "ttdef" > < b > Definition:< / b > < a href = "markowitz_8cc_source.html#l00566" > markowitz.cc:566< / a > < / div > < / div >
< div class = "ttc" id = "aclassoperations__research_1_1glop_1_1_matrix_non_zero_pattern_html_a965275e22dbb55799f5b99cca98e0fbc" > < div class = "ttname" > < a href = "classoperations__research_1_1glop_1_1_matrix_non_zero_pattern.html#a965275e22dbb55799f5b99cca98e0fbc" > operations_research::glop::MatrixNonZeroPattern::Update< / a > < / div > < div class = "ttdeci" > void Update(RowIndex pivot_row, ColIndex pivot_col, const SparseColumn & column)< / div > < div class = "ttdef" > < b > Definition:< / b > < a href = "markowitz_8cc_source.html#l00678" > markowitz.cc:678< / a > < / div > < / div >
< div class = "ttc" id = "aclassoperations__research_1_1glop_1_1_matrix_non_zero_pattern_html_aa71d36872f416feaa853788a7a7a7ef8" > < div class = "ttname" > < a href = "classoperations__research_1_1glop_1_1_matrix_non_zero_pattern.html#aa71d36872f416feaa853788a7a7a7ef8" > operations_research::glop::MatrixNonZeroPattern::Clear< / a > < / div > < div class = "ttdeci" > void Clear()< / div > < div class = "ttdef" > < b > Definition:< / b > < a href = "markowitz_8cc_source.html#l00557" > markowitz.cc:557< / a > < / div > < / div >
< div class = "ttc" id = "aclassoperations__research_1_1glop_1_1_matrix_non_zero_pattern_html_aa844f860b76cad2a3682e7d9b927195c" > < div class = "ttname" > < a href = "classoperations__research_1_1glop_1_1_matrix_non_zero_pattern.html#aa844f860b76cad2a3682e7d9b927195c" > operations_research::glop::MatrixNonZeroPattern::DecreaseRowDegree< / a > < / div > < div class = "ttdeci" > int32_t DecreaseRowDegree(RowIndex row)< / div > < div class = "ttdef" > < b > Definition:< / b > < a href = "markowitz_8cc_source.html#l00638" > markowitz.cc:638< / a > < / div > < / div >
< div class = "ttc" id = "aclassoperations__research_1_1glop_1_1_matrix_non_zero_pattern_html_ac6fdf4b27f37d788a51ff50a47d0a3df" > < div class = "ttname" > < a href = "classoperations__research_1_1glop_1_1_matrix_non_zero_pattern.html#ac6fdf4b27f37d788a51ff50a47d0a3df" > operations_research::glop::MatrixNonZeroPattern::ColDegree< / a > < / div > < div class = "ttdeci" > int32_t ColDegree(ColIndex col) const< / div > < div class = "ttdef" > < b > Definition:< / b > < a href = "markowitz_8h_source.html#l00156" > markowitz.h:156< / a > < / div > < / div >
< div class = "ttc" id = "aclassoperations__research_1_1glop_1_1_matrix_non_zero_pattern_html_af14468b811c1218ef477ccbd170e6f8d" > < div class = "ttname" > < a href = "classoperations__research_1_1glop_1_1_matrix_non_zero_pattern.html#af14468b811c1218ef477ccbd170e6f8d" > operations_research::glop::MatrixNonZeroPattern::GetFirstNonDeletedColumnFromRow< / a > < / div > < div class = "ttdeci" > ColIndex GetFirstNonDeletedColumnFromRow(RowIndex row) const< / div > < div class = "ttdef" > < b > Definition:< / b > < a href = "markowitz_8cc_source.html#l00670" > markowitz.cc:670< / a > < / div > < / div >
< div class = "ttc" id = "aclassoperations__research_1_1glop_1_1_matrix_non_zero_pattern_html_af6141c80a5d2f56d86f149c822065cc5" > < div class = "ttname" > < a href = "classoperations__research_1_1glop_1_1_matrix_non_zero_pattern.html#af6141c80a5d2f56d86f149c822065cc5" > operations_research::glop::MatrixNonZeroPattern::InitializeFromMatrixSubset< / a > < / div > < div class = "ttdeci" > void InitializeFromMatrixSubset(const CompactSparseMatrixView & basis_matrix, const RowPermutation & row_perm, const ColumnPermutation & col_perm, std::vector< ColIndex > *singleton_columns, std::vector< RowIndex > *singleton_rows)< / div > < div class = "ttdef" > < b > Definition:< / b > < a href = "markowitz_8cc_source.html#l00576" > markowitz.cc:576< / a > < / div > < / div >
2020-10-09 12:00:09 +02:00
< div class = "ttc" id = "aclassoperations__research_1_1glop_1_1_permutation_html" > < div class = "ttname" > < a href = "classoperations__research_1_1glop_1_1_permutation.html" > operations_research::glop::Permutation< RowIndex > < / a > < / div > < / div >
2021-01-26 11:28:50 +01:00
< div class = "ttc" id = "aclassoperations__research_1_1glop_1_1_permutation_html_acb8f594fc0399176a6201d6c66eb0419" > < div class = "ttname" > < a href = "classoperations__research_1_1glop_1_1_permutation.html#acb8f594fc0399176a6201d6c66eb0419" > operations_research::glop::Permutation::assign< / a > < / div > < div class = "ttdeci" > void assign(IndexType size, IndexType value)< / div > < div class = "ttdef" > < b > Definition:< / b > < a href = "lp__data_2permutation_8h_source.html#l00059" > lp_data/permutation.h:59< / a > < / div > < / div >
< div class = "ttc" id = "aclassoperations__research_1_1glop_1_1_sparse_column_html" > < div class = "ttname" > < a href = "classoperations__research_1_1glop_1_1_sparse_column.html" > operations_research::glop::SparseColumn< / a > < / div > < div class = "ttdef" > < b > Definition:< / b > < a href = "sparse__column_8h_source.html#l00044" > sparse_column.h:44< / a > < / div > < / div >
2021-04-27 23:00:03 +02:00
< div class = "ttc" id = "aclassoperations__research_1_1glop_1_1_sparse_matrix_with_reusable_column_memory_html_a1eb060a55278923620fda32549d18ae7" > < div class = "ttname" > < a href = "classoperations__research_1_1glop_1_1_sparse_matrix_with_reusable_column_memory.html#a1eb060a55278923620fda32549d18ae7" > operations_research::glop::SparseMatrixWithReusableColumnMemory::Reset< / a > < / div > < div class = "ttdeci" > void Reset(ColIndex num_cols)< / div > < div class = "ttdef" > < b > Definition:< / b > < a href = "markowitz_8cc_source.html#l00858" > markowitz.cc:858< / a > < / div > < / div >
< div class = "ttc" id = "aclassoperations__research_1_1glop_1_1_sparse_matrix_with_reusable_column_memory_html_a4d3e4198a395b77980b341d40ddb8b3c" > < div class = "ttname" > < a href = "classoperations__research_1_1glop_1_1_sparse_matrix_with_reusable_column_memory.html#a4d3e4198a395b77980b341d40ddb8b3c" > operations_research::glop::SparseMatrixWithReusableColumnMemory::ClearAndReleaseColumn< / a > < / div > < div class = "ttdeci" > void ClearAndReleaseColumn(ColIndex col)< / div > < div class = "ttdef" > < b > Definition:< / b > < a href = "markowitz_8cc_source.html#l00885" > markowitz.cc:885< / a > < / div > < / div >
< div class = "ttc" id = "aclassoperations__research_1_1glop_1_1_sparse_matrix_with_reusable_column_memory_html_a564caf35589006190ef4985fbda74faa" > < div class = "ttname" > < a href = "classoperations__research_1_1glop_1_1_sparse_matrix_with_reusable_column_memory.html#a564caf35589006190ef4985fbda74faa" > operations_research::glop::SparseMatrixWithReusableColumnMemory::mutable_column< / a > < / div > < div class = "ttdeci" > SparseColumn * mutable_column(ColIndex col)< / div > < div class = "ttdef" > < b > Definition:< / b > < a href = "markowitz_8cc_source.html#l00870" > markowitz.cc:870< / a > < / div > < / div >
< div class = "ttc" id = "aclassoperations__research_1_1glop_1_1_sparse_matrix_with_reusable_column_memory_html_a7273cc492a51a1c5d45c620b32fce502" > < div class = "ttname" > < a href = "classoperations__research_1_1glop_1_1_sparse_matrix_with_reusable_column_memory.html#a7273cc492a51a1c5d45c620b32fce502" > operations_research::glop::SparseMatrixWithReusableColumnMemory::column< / a > < / div > < div class = "ttdeci" > const SparseColumn & column(ColIndex col) const< / div > < div class = "ttdef" > < b > Definition:< / b > < a href = "markowitz_8cc_source.html#l00864" > markowitz.cc:864< / a > < / div > < / div >
< div class = "ttc" id = "aclassoperations__research_1_1glop_1_1_sparse_matrix_with_reusable_column_memory_html_aa71d36872f416feaa853788a7a7a7ef8" > < div class = "ttname" > < a href = "classoperations__research_1_1glop_1_1_sparse_matrix_with_reusable_column_memory.html#aa71d36872f416feaa853788a7a7a7ef8" > operations_research::glop::SparseMatrixWithReusableColumnMemory::Clear< / a > < / div > < div class = "ttdeci" > void Clear()< / div > < div class = "ttdef" > < b > Definition:< / b > < a href = "markowitz_8cc_source.html#l00892" > markowitz.cc:892< / a > < / div > < / div >
2020-10-09 12:00:09 +02:00
< div class = "ttc" id = "aclassoperations__research_1_1glop_1_1_sparse_vector_html_a8e12342fc420701fbffd97025421575a" > < div class = "ttname" > < a href = "classoperations__research_1_1glop_1_1_sparse_vector.html#a8e12342fc420701fbffd97025421575a" > operations_research::glop::SparseVector::IsEmpty< / a > < / div > < div class = "ttdeci" > bool IsEmpty() const< / div > < div class = "ttdef" > < b > Definition:< / b > < a href = "sparse__vector_8h_source.html#l00529" > sparse_vector.h:529< / a > < / div > < / div >
2021-01-26 11:28:50 +01:00
< div class = "ttc" id = "aclassoperations__research_1_1glop_1_1_sparse_vector_html_ab38326ea6cb6187267665dd8b2748f3d" > < div class = "ttname" > < a href = "classoperations__research_1_1glop_1_1_sparse_vector.html#ab38326ea6cb6187267665dd8b2748f3d" > operations_research::glop::SparseVector< RowIndex, SparseColumnIterator > ::Entry< / a > < / div > < div class = "ttdeci" > typename Iterator::Entry Entry< / div > < div class = "ttdef" > < b > Definition:< / b > < a href = "sparse__vector_8h_source.html#l00091" > sparse_vector.h:91< / a > < / div > < / div >
< div class = "ttc" id = "aclassoperations__research_1_1glop_1_1_status_html" > < div class = "ttname" > < a href = "classoperations__research_1_1glop_1_1_status.html" > operations_research::glop::Status< / a > < / div > < div class = "ttdef" > < b > Definition:< / b > < a href = "status_8h_source.html#l00024" > status.h:24< / a > < / div > < / div >
< div class = "ttc" id = "aclassoperations__research_1_1glop_1_1_status_html_a071b1d04197c0ac6e7a4d0ec0b91ff43" > < div class = "ttname" > < a href = "classoperations__research_1_1glop_1_1_status.html#a071b1d04197c0ac6e7a4d0ec0b91ff43" > operations_research::glop::Status::OK< / a > < / div > < div class = "ttdeci" > static const Status OK()< / div > < div class = "ttdef" > < b > Definition:< / b > < a href = "status_8h_source.html#l00054" > status.h:54< / a > < / div > < / div >
< div class = "ttc" id = "aclassoperations__research_1_1glop_1_1_status_html_a59e56af19e754a6aa26a612ebf91d05fafa2ff9c081445bfbfbda10bc41b76a87" > < div class = "ttname" > < a href = "classoperations__research_1_1glop_1_1_status.html#a59e56af19e754a6aa26a612ebf91d05fafa2ff9c081445bfbfbda10bc41b76a87" > operations_research::glop::Status::ERROR_LU< / a > < / div > < div class = "ttdeci" > @ ERROR_LU< / div > < div class = "ttdef" > < b > Definition:< / b > < a href = "status_8h_source.html#l00032" > status.h:32< / a > < / div > < / div >
2021-04-27 23:00:03 +02:00
< div class = "ttc" id = "aclassoperations__research_1_1glop_1_1_strict_i_t_i_vector_html_a3de922485ca2c30f3e07d959dd97cdd0" > < div class = "ttname" > < a href = "classoperations__research_1_1glop_1_1_strict_i_t_i_vector.html#a3de922485ca2c30f3e07d959dd97cdd0" > operations_research::glop::StrictITIVector::AssignToZero< / a > < / div > < div class = "ttdeci" > void AssignToZero(IntType size)< / div > < div class = "ttdef" > < b > Definition:< / b > < a href = "lp__types_8h_source.html#l00291" > lp_types.h:291< / a > < / div > < / div >
< div class = "ttc" id = "aclassoperations__research_1_1glop_1_1_strict_i_t_i_vector_html_a967a5c081ad4195a30c78dc2c0bcabf5" > < div class = "ttname" > < a href = "classoperations__research_1_1glop_1_1_strict_i_t_i_vector.html#a967a5c081ad4195a30c78dc2c0bcabf5" > operations_research::glop::StrictITIVector::size< / a > < / div > < div class = "ttdeci" > IntType size() const< / div > < div class = "ttdef" > < b > Definition:< / b > < a href = "lp__types_8h_source.html#l00277" > lp_types.h:277< / a > < / div > < / div >
< div class = "ttc" id = "aclassoperations__research_1_1glop_1_1_strict_i_t_i_vector_html_af8d7048738ceb4c753b040e6d29db79c" > < div class = "ttname" > < a href = "classoperations__research_1_1glop_1_1_strict_i_t_i_vector.html#af8d7048738ceb4c753b040e6d29db79c" > operations_research::glop::StrictITIVector::assign< / a > < / div > < div class = "ttdeci" > void assign(IntType size, const T & v)< / div > < div class = "ttdef" > < b > Definition:< / b > < a href = "lp__types_8h_source.html#l00275" > lp_types.h:275< / a > < / div > < / div >
2021-01-26 11:28:50 +01:00
< div class = "ttc" id = "aclassoperations__research_1_1glop_1_1_triangular_matrix_html" > < div class = "ttname" > < a href = "classoperations__research_1_1glop_1_1_triangular_matrix.html" > operations_research::glop::TriangularMatrix< / a > < / div > < div class = "ttdef" > < b > Definition:< / b > < a href = "sparse_8h_source.html#l00502" > sparse.h:502< / a > < / div > < / div >
< div class = "ttc" id = "aclassoperations__research_1_1glop_1_1_triangular_matrix_html_a2ffa6dbb95dfb7e397bf69fd1ddd188e" > < div class = "ttname" > < a href = "classoperations__research_1_1glop_1_1_triangular_matrix.html#a2ffa6dbb95dfb7e397bf69fd1ddd188e" > operations_research::glop::TriangularMatrix::AddTriangularColumnWithGivenDiagonalEntry< / a > < / div > < div class = "ttdeci" > void AddTriangularColumnWithGivenDiagonalEntry(const SparseColumn & column, RowIndex diagonal_row, Fractional diagonal_value)< / div > < div class = "ttdef" > < b > Definition:< / b > < a href = "sparse_8cc_source.html#l00672" > sparse.cc:672< / a > < / div > < / div >
< div class = "ttc" id = "aclassoperations__research_1_1glop_1_1_triangular_matrix_html_a3e1b01501c922d36c55fb59cfc18e630" > < div class = "ttname" > < a href = "classoperations__research_1_1glop_1_1_triangular_matrix.html#a3e1b01501c922d36c55fb59cfc18e630" > operations_research::glop::TriangularMatrix::Swap< / a > < / div > < div class = "ttdeci" > void Swap(TriangularMatrix *other)< / div > < div class = "ttdef" > < b > Definition:< / b > < a href = "sparse_8cc_source.html#l00593" > sparse.cc:593< / a > < / div > < / div >
< div class = "ttc" id = "aclassoperations__research_1_1glop_1_1_triangular_matrix_html_a478299b61f785b5406d276ebe402aa64" > < div class = "ttname" > < a href = "classoperations__research_1_1glop_1_1_triangular_matrix.html#a478299b61f785b5406d276ebe402aa64" > operations_research::glop::TriangularMatrix::IsLowerTriangular< / a > < / div > < div class = "ttdeci" > bool IsLowerTriangular() const< / div > < div class = "ttdef" > < b > Definition:< / b > < a href = "sparse_8cc_source.html#l00692" > sparse.cc:692< / a > < / div > < / div >
< div class = "ttc" id = "aclassoperations__research_1_1glop_1_1_triangular_matrix_html_a8d3594198944bf0a6ac2669581085683" > < div class = "ttname" > < a href = "classoperations__research_1_1glop_1_1_triangular_matrix.html#a8d3594198944bf0a6ac2669581085683" > operations_research::glop::TriangularMatrix::AddAndNormalizeTriangularColumn< / a > < / div > < div class = "ttdeci" > void AddAndNormalizeTriangularColumn(const SparseColumn & column, RowIndex diagonal_row, Fractional diagonal_coefficient)< / div > < div class = "ttdef" > < b > Definition:< / b > < a href = "sparse_8cc_source.html#l00655" > sparse.cc:655< / a > < / div > < / div >
< div class = "ttc" id = "aclassoperations__research_1_1glop_1_1_triangular_matrix_html_a930392173df6dce15fc905d089bd19aa" > < div class = "ttname" > < a href = "classoperations__research_1_1glop_1_1_triangular_matrix.html#a930392173df6dce15fc905d089bd19aa" > operations_research::glop::TriangularMatrix::IsUpperTriangular< / a > < / div > < div class = "ttdeci" > bool IsUpperTriangular() const< / div > < div class = "ttdef" > < b > Definition:< / b > < a href = "sparse_8cc_source.html#l00702" > sparse.cc:702< / a > < / div > < / div >
< div class = "ttc" id = "aclassoperations__research_1_1glop_1_1_triangular_matrix_html_ab5a8a005f27ece21134c277a33057c70" > < div class = "ttname" > < a href = "classoperations__research_1_1glop_1_1_triangular_matrix.html#ab5a8a005f27ece21134c277a33057c70" > operations_research::glop::TriangularMatrix::AddTriangularColumn< / a > < / div > < div class = "ttdeci" > void AddTriangularColumn(const ColumnView & column, RowIndex diagonal_row)< / div > < div class = "ttdef" > < b > Definition:< / b > < a href = "sparse_8cc_source.html#l00640" > sparse.cc:640< / a > < / div > < / div >
< div class = "ttc" id = "aclassoperations__research_1_1glop_1_1_triangular_matrix_html_abedd52dbc024598bf0189235764f734a" > < div class = "ttname" > < a href = "classoperations__research_1_1glop_1_1_triangular_matrix.html#abedd52dbc024598bf0189235764f734a" > operations_research::glop::TriangularMatrix::PermutedLowerSparseSolve< / a > < / div > < div class = "ttdeci" > void PermutedLowerSparseSolve(const ColumnView & rhs, const RowPermutation & row_perm, SparseColumn *lower, SparseColumn *upper)< / div > < div class = "ttdef" > < b > Definition:< / b > < a href = "sparse_8cc_source.html#l01038" > sparse.cc:1038< / a > < / div > < / div >
2020-10-09 12:00:09 +02:00
< div class = "ttc" id = "aclassoperations__research_1_1glop_1_1_triangular_matrix_html_ad001a49701677a22b4efd9186b97ae05" > < div class = "ttname" > < a href = "classoperations__research_1_1glop_1_1_triangular_matrix.html#ad001a49701677a22b4efd9186b97ae05" > operations_research::glop::TriangularMatrix::ApplyRowPermutationToNonDiagonalEntries< / a > < / div > < div class = "ttdeci" > void ApplyRowPermutationToNonDiagonalEntries(const RowPermutation & row_perm)< / div > < div class = "ttdef" > < b > Definition:< / b > < a href = "sparse_8cc_source.html#l00712" > sparse.cc:712< / a > < / div > < / div >
2021-01-26 11:28:50 +01:00
< div class = "ttc" id = "aclassoperations__research_1_1glop_1_1_triangular_matrix_html_ae95eb4b81113f212b6aae874a15808df" > < div class = "ttname" > < a href = "classoperations__research_1_1glop_1_1_triangular_matrix.html#ae95eb4b81113f212b6aae874a15808df" > operations_research::glop::TriangularMatrix::AddDiagonalOnlyColumn< / a > < / div > < div class = "ttdeci" > void AddDiagonalOnlyColumn(Fractional diagonal_value)< / div > < div class = "ttdef" > < b > Definition:< / b > < a href = "sparse_8cc_source.html#l00636" > sparse.cc:636< / a > < / div > < / div >
2021-04-27 23:00:03 +02:00
< div class = "ttc" id = "aclassoperations__research_1_1glop_1_1_triangular_matrix_html_aec8942e8b01f9aed2abc24de9acfb6ab" > < div class = "ttname" > < a href = "classoperations__research_1_1glop_1_1_triangular_matrix.html#aec8942e8b01f9aed2abc24de9acfb6ab" > operations_research::glop::TriangularMatrix::NumFpOperationsInLastPermutedLowerSparseSolve< / a > < / div > < div class = "ttdeci" > int64_t NumFpOperationsInLastPermutedLowerSparseSolve() const< / div > < div class = "ttdef" > < b > Definition:< / b > < a href = "sparse_8h_source.html#l00700" > sparse.h:700< / a > < / div > < / div >
2021-01-26 11:28:50 +01:00
< div class = "ttc" id = "aclassoperations__research_1_1glop_1_1_triangular_matrix_html_aeebcdc829c541f3ca21a15784f02fe9c" > < div class = "ttname" > < a href = "classoperations__research_1_1glop_1_1_triangular_matrix.html#aeebcdc829c541f3ca21a15784f02fe9c" > operations_research::glop::TriangularMatrix::Reset< / a > < / div > < div class = "ttdeci" > void Reset(RowIndex num_rows, ColIndex col_capacity)< / div > < div class = "ttdef" > < b > Definition:< / b > < a href = "sparse_8cc_source.html#l00524" > sparse.cc:524< / a > < / div > < / div >
2021-04-27 23:00:03 +02:00
< div class = "ttc" id = "aclassoperations__research_1_1glop_1_1_triangular_matrix_html_af69d9b7065a8f31604a8134be4307749" > < div class = "ttname" > < a href = "classoperations__research_1_1glop_1_1_triangular_matrix.html#af69d9b7065a8f31604a8134be4307749" > operations_research::glop::TriangularMatrix::num_entries< / a > < / div > < div class = "ttdeci" > EntryIndex num_entries() const< / div > < div class = "ttdef" > < b > Definition:< / b > < a href = "sparse_8h_source.html#l00514" > sparse.h:514< / a > < / div > < / div >
2021-01-26 11:28:50 +01:00
< div class = "ttc" id = "alp__data_2lp__utils_8h_html" > < div class = "ttname" > < a href = "lp__data_2lp__utils_8h.html" > lp_utils.h< / a > < / div > < / div >
2020-09-02 09:42:51 +02:00
< div class = "ttc" id = "alp__types_8h_html" > < div class = "ttname" > < a href = "lp__types_8h.html" > lp_types.h< / a > < / div > < / div >
2021-04-27 23:00:03 +02:00
< div class = "ttc" id = "amarkowitz_8cc_html_a722e11301e7de93191aa47dbd3ecb4d8" > < div class = "ttname" > < a href = "markowitz_8cc.html#a722e11301e7de93191aa47dbd3ecb4d8" > coefficient< / a > < / div > < div class = "ttdeci" > Fractional coefficient< / div > < div class = "ttdef" > < b > Definition:< / b > < a href = "markowitz_8cc_source.html#l00184" > markowitz.cc:184< / a > < / div > < / div >
< div class = "ttc" id = "amarkowitz_8cc_html_aa9d6c98fdf8d89b0e2321fda02adc82c" > < div class = "ttname" > < a href = "markowitz_8cc.html#aa9d6c98fdf8d89b0e2321fda02adc82c" > col< / a > < / div > < div class = "ttdeci" > ColIndex col< / div > < div class = "ttdef" > < b > Definition:< / b > < a href = "markowitz_8cc_source.html#l00183" > markowitz.cc:183< / a > < / div > < / div >
< div class = "ttc" id = "amarkowitz_8cc_html_aea35f36ba98d5bbd8d033382f50c9e52" > < div class = "ttname" > < a href = "markowitz_8cc.html#aea35f36ba98d5bbd8d033382f50c9e52" > row< / a > < / div > < div class = "ttdeci" > RowIndex row< / div > < div class = "ttdef" > < b > Definition:< / b > < a href = "markowitz_8cc_source.html#l00182" > markowitz.cc:182< / a > < / div > < / div >
2021-01-26 11:28:50 +01:00
< div class = "ttc" id = "amarkowitz_8h_html" > < div class = "ttname" > < a href = "markowitz_8h.html" > markowitz.h< / a > < / div > < / div >
< div class = "ttc" id = "anamespaceoperations__research_1_1glop_html_a31ee82f6ef05c3da492c0376f910d015" > < div class = "ttname" > < a href = "namespaceoperations__research_1_1glop.html#a31ee82f6ef05c3da492c0376f910d015" > operations_research::glop::kInvalidRow< / a > < / div > < div class = "ttdeci" > const RowIndex kInvalidRow(-1)< / div > < / div >
< div class = "ttc" id = "anamespaceoperations__research_1_1glop_html_a6b1b56ad0cb77edbd314f2bec33b467a" > < div class = "ttname" > < a href = "namespaceoperations__research_1_1glop.html#a6b1b56ad0cb77edbd314f2bec33b467a" > operations_research::glop::ColumnPermutation< / a > < / div > < div class = "ttdeci" > Permutation< ColIndex > ColumnPermutation< / div > < div class = "ttdef" > < b > Definition:< / b > < a href = "lp__data_2permutation_8h_source.html#l00095" > lp_data/permutation.h:95< / a > < / div > < / div >
2021-04-27 23:00:03 +02:00
< div class = "ttc" id = "anamespaceoperations__research_1_1glop_html_a733947145e3e1631165b618b05c9ccb7" > < div class = "ttname" > < a href = "namespaceoperations__research_1_1glop.html#a733947145e3e1631165b618b05c9ccb7" > operations_research::glop::Fractional< / a > < / div > < div class = "ttdeci" > double Fractional< / div > < div class = "ttdef" > < b > Definition:< / b > < a href = "lp__types_8h_source.html#l00078" > lp_types.h:78< / a > < / div > < / div >
2021-01-26 11:28:50 +01:00
< div class = "ttc" id = "anamespaceoperations__research_1_1glop_html_ae69267cf0653a77925ee13121b9857ec" > < div class = "ttname" > < a href = "namespaceoperations__research_1_1glop.html#ae69267cf0653a77925ee13121b9857ec" > operations_research::glop::RowPermutation< / a > < / div > < div class = "ttdeci" > Permutation< RowIndex > RowPermutation< / div > < div class = "ttdef" > < b > Definition:< / b > < a href = "lp__data_2permutation_8h_source.html#l00094" > lp_data/permutation.h:94< / a > < / div > < / div >
2021-04-27 23:00:03 +02:00
< div class = "ttc" id = "anamespaceoperations__research_1_1glop_html_aedb714d776d86539dbb9f42ae5d7d923" > < div class = "ttname" > < a href = "namespaceoperations__research_1_1glop.html#aedb714d776d86539dbb9f42ae5d7d923" > operations_research::glop::DeterministicTimeForFpOperations< / a > < / div > < div class = "ttdeci" > static double DeterministicTimeForFpOperations(int64_t n)< / div > < div class = "ttdef" > < b > Definition:< / b > < a href = "lp__types_8h_source.html#l00380" > lp_types.h:380< / a > < / div > < / div >
2021-01-26 11:28:50 +01:00
< div class = "ttc" id = "anamespaceoperations__research_1_1glop_html_afb755b7934d8679476e2f05a89739bcd" > < div class = "ttname" > < a href = "namespaceoperations__research_1_1glop.html#afb755b7934d8679476e2f05a89739bcd" > operations_research::glop::kInvalidCol< / a > < / div > < div class = "ttdeci" > const ColIndex kInvalidCol(-1)< / div > < / div >
2021-04-27 23:00:03 +02:00
< div class = "ttc" id = "anamespaceoperations__research_html" > < div class = "ttname" > < a href = "namespaceoperations__research.html" > operations_research< / a > < / div > < div class = "ttdoc" > Collection of objects used to extend the Constraint Solver library.< / div > < div class = "ttdef" > < b > Definition:< / b > < a href = "dense__doubly__linked__list_8h_source.html#l00021" > dense_doubly_linked_list.h:21< / a > < / div > < / div >
< div class = "ttc" id = "apack_8cc_html_a750b5d744c39a06bfb13e6eb010e35d0" > < div class = "ttname" > < a href = "pack_8cc.html#a750b5d744c39a06bfb13e6eb010e35d0" > index< / a > < / div > < div class = "ttdeci" > int index< / div > < div class = "ttdef" > < b > Definition:< / b > < a href = "pack_8cc_source.html#l00509" > pack.cc:509< / a > < / div > < / div >
2021-01-26 11:28:50 +01:00
< div class = "ttc" id = "aparser_8yy_8cc_html_a5a634cf4429798b1c921a81de8250051" > < div class = "ttname" > < a href = "parser_8yy_8cc.html#a5a634cf4429798b1c921a81de8250051" > input< / a > < / div > < div class = "ttdeci" > static int input(yyscan_t yyscanner)< / div > < / div >
2021-04-27 23:00:03 +02:00
< div class = "ttc" id = "apreprocessor_8cc_html_a2babe18010525bbf13c2fa5a959971e4" > < div class = "ttname" > < a href = "preprocessor_8cc.html#a2babe18010525bbf13c2fa5a959971e4" > num_entries< / a > < / div > < div class = "ttdeci" > EntryIndex num_entries< / div > < div class = "ttdef" > < b > Definition:< / b > < a href = "preprocessor_8cc_source.html#l01360" > preprocessor.cc:1360< / a > < / div > < / div >
2020-09-02 09:42:51 +02:00
< div class = "ttc" id = "asparse_8h_html" > < div class = "ttname" > < a href = "sparse_8h.html" > sparse.h< / a > < / div > < / div >
2021-04-27 23:00:03 +02:00
< div class = "ttc" id = "astats_8h_html_a3c3e6b102f0d91c523099325c98e1887" > < div class = "ttname" > < a href = "stats_8h.html#a3c3e6b102f0d91c523099325c98e1887" > IF_STATS_ENABLED< / a > < / div > < div class = "ttdeci" > #define IF_STATS_ENABLED(instructions)< / div > < div class = "ttdef" > < b > Definition:< / b > < a href = "stats_8h_source.html#l00437" > stats.h:437< / a > < / div > < / div >
< div class = "ttc" id = "astats_8h_html_a9995704aaaf45fc21e08c847551a8d04" > < div class = "ttname" > < a href = "stats_8h.html#a9995704aaaf45fc21e08c847551a8d04" > SCOPED_TIME_STAT< / a > < / div > < div class = "ttdeci" > #define SCOPED_TIME_STAT(stats)< / div > < div class = "ttdef" > < b > Definition:< / b > < a href = "stats_8h_source.html#l00438" > stats.h:438< / a > < / div > < / div >
2020-10-09 12:00:09 +02:00
< div class = "ttc" id = "astatus_8h_html_a3efb1c6250c02a5b881f8b82f75f9822" > < div class = "ttname" > < a href = "status_8h.html#a3efb1c6250c02a5b881f8b82f75f9822" > GLOP_RETURN_IF_ERROR< / a > < / div > < div class = "ttdeci" > #define GLOP_RETURN_IF_ERROR(function_call)< / div > < div class = "ttdef" > < b > Definition:< / b > < a href = "status_8h_source.html#l00070" > status.h:70< / a > < / div > < / div >
2021-01-26 11:28:50 +01:00
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2020-09-02 09:42:51 +02:00
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