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< a href = "sparse__submatrix_8h.html" > Go to the documentation of this file.< / a > < div class = "fragment" > < div class = "line" > < a id = "l00001" name = "l00001" > < / a > < span class = "lineno" > 1< / span > < span class = "comment" > // Copyright 2010-2021 Google LLC< / span > < / div >
< div class = "line" > < a id = "l00002" 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 id = "l00003" 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 id = "l00004" 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 id = "l00005" name = "l00005" > < / a > < span class = "lineno" > 5< / span > < span class = "comment" > //< / span > < / div >
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< div class = "line" > < a id = "l00007" name = "l00007" > < / a > < span class = "lineno" > 7< / span > < span class = "comment" > //< / span > < / div >
< div class = "line" > < a id = "l00008" name = "l00008" > < / a > < span class = "lineno" > 8< / span > < span class = "comment" > // Unless required by applicable law or agreed to in writing, software< / span > < / div >
< div class = "line" > < a id = "l00009" name = "l00009" > < / a > < span class = "lineno" > 9< / span > < span class = "comment" > // distributed under the License is distributed on an " AS IS" BASIS,< / span > < / div >
< div class = "line" > < a id = "l00010" 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 id = "l00011" 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 id = "l00012" name = "l00012" > < / a > < span class = "lineno" > 12< / span > < span class = "comment" > // limitations under the License.< / span > < / div >
< div class = "line" > < a id = "l00013" name = "l00013" > < / a > < span class = "lineno" > 13< / span > < / div >
< div class = "line" > < a id = "l00014" name = "l00014" > < / a > < span class = "lineno" > 14< / span > < span class = "comment" > // Tools to extract some sub-components of sparse matrices.< / span > < / div >
< div class = "line" > < a id = "l00015" name = "l00015" > < / a > < span class = "lineno" > 15< / span > < span class = "preprocessor" > #ifndef OR_TOOLS_MATH_OPT_CORE_SPARSE_SUBMATRIX_H_< / span > < / div >
< div class = "line" > < a id = "l00016" name = "l00016" > < / a > < span class = "lineno" > 16< / span > < span class = "preprocessor" > #define OR_TOOLS_MATH_OPT_CORE_SPARSE_SUBMATRIX_H_< / span > < / div >
< div class = "line" > < a id = "l00017" name = "l00017" > < / a > < span class = "lineno" > 17< / span > < / div >
< div class = "line" > < a id = "l00018" name = "l00018" > < / a > < span class = "lineno" > 18< / span > < span class = "preprocessor" > #include < cstdint> < / span > < / div >
< div class = "line" > < a id = "l00019" name = "l00019" > < / a > < span class = "lineno" > 19< / span > < span class = "preprocessor" > #include < optional> < / span > < / div >
< div class = "line" > < a id = "l00020" name = "l00020" > < / a > < span class = "lineno" > 20< / span > < span class = "preprocessor" > #include < utility> < / span > < / div >
< div class = "line" > < a id = "l00021" name = "l00021" > < / a > < span class = "lineno" > 21< / span > < span class = "preprocessor" > #include < vector> < / span > < / div >
< div class = "line" > < a id = "l00022" name = "l00022" > < / a > < span class = "lineno" > 22< / span > < / div >
< div class = "line" > < a id = "l00023" name = "l00023" > < / a > < span class = "lineno" > 23< / span > < span class = "preprocessor" > #include " < a class = "code" href = "math__opt_2core_2sparse__vector_8h.html" > ortools/math_opt/core/sparse_vector.h< / a > " < / span > < / div >
< div class = "line" > < a id = "l00024" name = "l00024" > < / a > < span class = "lineno" > 24< / span > < span class = "preprocessor" > #include " < a class = "code" href = "sparse__vector__view_8h.html" > ortools/math_opt/core/sparse_vector_view.h< / a > " < / span > < / div >
< div class = "line" > < a id = "l00025" name = "l00025" > < / a > < span class = "lineno" > 25< / span > < span class = "preprocessor" > #include " ortools/math_opt/sparse_containers.pb.h" < / span > < / div >
< div class = "line" > < a id = "l00026" name = "l00026" > < / a > < span class = "lineno" > 26< / span > < / div >
< div class = "line" > < a id = "l00027" name = "l00027" > < / a > < span class = "lineno" > 27< / span > < span class = "keyword" > namespace < / span > < a class = "code hl_namespace" href = "namespaceoperations__research_1_1math__opt.html" > operations_research::math_opt< / a > {< / div >
< div class = "line" > < a id = "l00028" name = "l00028" > < / a > < span class = "lineno" > 28< / span > < / div >
< div class = "line" > < a id = "l00029" name = "l00029" > < / a > < span class = "lineno" > 29< / span > < span class = "comment" > // A vector that contains one pair (row_id, columns_coefficients) per row,< / span > < / div >
< div class = "line" > < a id = "l00030" name = "l00030" > < / a > < span class = "lineno" > 30< / span > < span class = "comment" > // sorted by row_id. The columns_coefficients are views.< / span > < / div >
< div class = "line" > < a id = "l00031" name = "l00031" > < / a > < span class = "lineno" > < a class = "line" href = "namespaceoperations__research_1_1math__opt.html#a592c92a8c6da987d69b7d77512b2d414" > 31< / a > < / span > < span class = "keyword" > using< / span > < a class = "code hl_typedef" href = "namespaceoperations__research_1_1math__opt.html#a592c92a8c6da987d69b7d77512b2d414" > SparseSubmatrixRowsView< / a > =< / div >
< div class = "line" > < a id = "l00032" name = "l00032" > < / a > < span class = "lineno" > 32< / span > std::vector< std::pair< int64_t, SparseVectorView< double> > > ;< / div >
< div class = "line" > < a id = "l00033" name = "l00033" > < / a > < span class = "lineno" > 33< / span > < / div >
< div class = "line" > < a id = "l00034" name = "l00034" > < / a > < span class = "lineno" > 34< / span > < span class = "comment" > // Returns the coefficients of columns in the range [start_col_id, end_col_id)< / span > < / div >
< div class = "line" > < a id = "l00035" name = "l00035" > < / a > < span class = "lineno" > 35< / span > < span class = "comment" > // for each row in the range [start_row_id, end_row_id).< / span > < / div >
< div class = "line" > < a id = "l00036" name = "l00036" > < / a > < span class = "lineno" > 36< / span > < span class = "comment" > //< / span > < / div >
< div class = "line" > < a id = "l00037" name = "l00037" > < / a > < span class = "lineno" > 37< / span > < span class = "comment" > // Returns a vector that contains one pair (row_id, columns_coefficients) per< / span > < / div >
< div class = "line" > < a id = "l00038" name = "l00038" > < / a > < span class = "lineno" > 38< / span > < span class = "comment" > // row. It CHECKs that the input matrix is valid. The coefficients are returned< / span > < / div >
< div class = "line" > < a id = "l00039" name = "l00039" > < / a > < span class = "lineno" > 39< / span > < span class = "comment" > // in a views that points to the input matrix' s data. Therefore they should not< / span > < / div >
< div class = "line" > < a id = "l00040" name = "l00040" > < / a > < span class = "lineno" > 40< / span > < span class = "comment" > // be used after the proto is modified/deleted.< / span > < / div >
< div class = "line" > < a id = "l00041" name = "l00041" > < / a > < span class = "lineno" > 41< / span > < span class = "comment" > //< / span > < / div >
< div class = "line" > < a id = "l00042" name = "l00042" > < / a > < span class = "lineno" > 42< / span > < span class = "comment" > // When end_(col|row)_id is nullopt, includes all indices greater or equal to< / span > < / div >
< div class = "line" > < a id = "l00043" name = "l00043" > < / a > < span class = "lineno" > 43< / span > < span class = "comment" > // start_(col|row)_id.< / span > < / div >
< div class = "line" > < a id = "l00044" name = "l00044" > < / a > < span class = "lineno" > 44< / span > < span class = "comment" > //< / span > < / div >
< div class = "line" > < a id = "l00045" name = "l00045" > < / a > < span class = "lineno" > 45< / span > < span class = "comment" > // This functions runs in O(size of matrix).< / span > < / div >
< div class = "line" > < a id = "l00046" name = "l00046" > < / a > < span class = "lineno" > 46< / span > < span class = "comment" > //< / span > < / div >
< div class = "line" > < a id = "l00047" name = "l00047" > < / a > < span class = "lineno" > 47< / span > < span class = "comment" > // Use TransposeSparseSubmatrix() to transpose the submatrix and get the< / span > < / div >
< div class = "line" > < a id = "l00048" name = "l00048" > < / a > < span class = "lineno" > 48< / span > < span class = "comment" > // columns instead of the rows.< / span > < / div >
< div class = "line" > < a id = "l00049" name = "l00049" > < / a > < span class = "lineno" > 49< / span > < span class = "comment" > //< / span > < / div >
< div class = "line" > < a id = "l00050" name = "l00050" > < / a > < span class = "lineno" > 50< / span > < span class = "comment" > // Usage example:< / span > < / div >
< div class = "line" > < a id = "l00051" name = "l00051" > < / a > < span class = "lineno" > 51< / span > < span class = "comment" > //< / span > < / div >
< div class = "line" > < a id = "l00052" name = "l00052" > < / a > < span class = "lineno" > 52< / span > < span class = "comment" > // // With this input sparse matrix:< / span > < / div >
< div class = "line" > < a id = "l00053" name = "l00053" > < / a > < span class = "lineno" > 53< / span > < span class = "comment" > // // |0 1 2 3 4 5 6< / span > < / div >
< div class = "line" > < a id = "l00054" name = "l00054" > < / a > < span class = "lineno" > 54< / span > < span class = "comment" > // // -+-------------< / span > < / div >
< div class = "line" > < a id = "l00055" name = "l00055" > < / a > < span class = "lineno" > 55< / span > < span class = "comment" > // // 0|2 - - - 3 4 -< / span > < / div >
< div class = "line" > < a id = "l00056" name = "l00056" > < / a > < span class = "lineno" > 56< / span > < span class = "comment" > // // 1|- - - - - - -< / span > < / div >
< div class = "line" > < a id = "l00057" name = "l00057" > < / a > < span class = "lineno" > 57< / span > < span class = "comment" > // // 2|- 5 - 1 - - 3< / span > < / div >
< div class = "line" > < a id = "l00058" name = "l00058" > < / a > < span class = "lineno" > 58< / span > < span class = "comment" > // // 3|9 - - 8 - - 7< / span > < / div >
< div class = "line" > < a id = "l00059" name = "l00059" > < / a > < span class = "lineno" > 59< / span > < span class = "comment" > // const SparseDoubleMatrixProto matrix = ...;< / span > < / div >
< div class = "line" > < a id = "l00060" name = "l00060" > < / a > < span class = "lineno" > 60< / span > < span class = "comment" > //< / span > < / div >
< div class = "line" > < a id = "l00061" name = "l00061" > < / a > < span class = "lineno" > 61< / span > < span class = "comment" > // // Keeping coefficients of lines > = 1 and columns in [1, 6).< / span > < / div >
< div class = "line" > < a id = "l00062" name = "l00062" > < / a > < span class = "lineno" > 62< / span > < span class = "comment" > // const auto rows = SparseSubmatrixByRows(< / span > < / div >
< div class = "line" > < a id = "l00063" name = "l00063" > < / a > < span class = "lineno" > 63< / span > < span class = "comment" > // matrix,< / span > < / div >
< div class = "line" > < a id = "l00064" name = "l00064" > < / a > < span class = "lineno" > 64< / span > < span class = "comment" > // /*start_row_id=*/1, /*end_row_id=*/std::nullopt,< / span > < / div >
< div class = "line" > < a id = "l00065" name = "l00065" > < / a > < span class = "lineno" > 65< / span > < span class = "comment" > // /*start_col_id=*/1, /*end_col_id=*/6);< / span > < / div >
< div class = "line" > < a id = "l00066" name = "l00066" > < / a > < span class = "lineno" > 66< / span > < span class = "comment" > //< / span > < / div >
< div class = "line" > < a id = "l00067" name = "l00067" > < / a > < span class = "lineno" > 67< / span > < span class = "comment" > // // The returned rows and coefficients will be:< / span > < / div >
< div class = "line" > < a id = "l00068" name = "l00068" > < / a > < span class = "lineno" > 68< / span > < span class = "comment" > // // {2, {{1, 5.0}, {3, 1.0}}}< / span > < / div >
< div class = "line" > < a id = "l00069" name = "l00069" > < / a > < span class = "lineno" > 69< / span > < span class = "comment" > // // {3, { {3, 8.0}}}< / span > < / div >
< div class = "line" > < a id = "l00070" name = "l00070" > < / a > < span class = "lineno" > 70< / span > < span class = "comment" > //< / span > < / div >
< div class = "line" > < a id = "l00071" name = "l00071" > < / a > < span class = "lineno" > 71< / span > < a class = "code hl_typedef" href = "namespaceoperations__research_1_1math__opt.html#a592c92a8c6da987d69b7d77512b2d414" > SparseSubmatrixRowsView< / a > < a class = "code hl_function" href = "namespaceoperations__research_1_1math__opt.html#a73f32c619b1fc9c62bcd6c6b9123bb61" > SparseSubmatrixByRows< / a > (< / div >
< div class = "line" > < a id = "l00072" name = "l00072" > < / a > < span class = "lineno" > 72< / span > < span class = "keyword" > const< / span > SparseDoubleMatrixProto& matrix, int64_t start_row_id,< / div >
< div class = "line" > < a id = "l00073" name = "l00073" > < / a > < span class = "lineno" > 73< / span > std::optional< int64_t> end_row_id, int64_t start_col_id,< / div >
< div class = "line" > < a id = "l00074" name = "l00074" > < / a > < span class = "lineno" > 74< / span > std::optional< int64_t> end_col_id);< / div >
< div class = "line" > < a id = "l00075" name = "l00075" > < / a > < span class = "lineno" > 75< / span > < / div >
< div class = "line" > < a id = "l00076" name = "l00076" > < / a > < span class = "lineno" > 76< / span > < span class = "comment" > // Returns a vector that contains one pair (row_id, rows_coefficients) per< / span > < / div >
< div class = "line" > < a id = "l00077" name = "l00077" > < / a > < span class = "lineno" > 77< / span > < span class = "comment" > // column.< / span > < / div >
< div class = "line" > < a id = "l00078" name = "l00078" > < / a > < span class = "lineno" > 78< / span > < span class = "comment" > //< / span > < / div >
< div class = "line" > < a id = "l00079" name = "l00079" > < / a > < span class = "lineno" > 79< / span > < span class = "comment" > // The coefficients are returned as copies of the input views.< / span > < / div >
< div class = "line" > < a id = "l00080" name = "l00080" > < / a > < span class = "lineno" > 80< / span > < span class = "comment" > //< / span > < / div >
< div class = "line" > < a id = "l00081" name = "l00081" > < / a > < span class = "lineno" > 81< / span > < span class = "comment" > // This functions runs in:< / span > < / div >
< div class = "line" > < a id = "l00082" name = "l00082" > < / a > < span class = "lineno" > 82< / span > < span class = "comment" > // O(num_non_zeros + num_non_empty_cols * lg(num_non_empty_cols)).< / span > < / div >
< div class = "line" > < a id = "l00083" name = "l00083" > < / a > < span class = "lineno" > 83< / span > std::vector< std::pair< int64_t, SparseVector< double> > > < a class = "code hl_function" href = "namespaceoperations__research_1_1math__opt.html#a132f7f9e7f159f70ae154dde62b54efb" > TransposeSparseSubmatrix< / a > (< / div >
< div class = "line" > < a id = "l00084" name = "l00084" > < / a > < span class = "lineno" > 84< / span > < span class = "keyword" > const< / span > < a class = "code hl_typedef" href = "namespaceoperations__research_1_1math__opt.html#a592c92a8c6da987d69b7d77512b2d414" > SparseSubmatrixRowsView< / a > & submatrix_by_rows);< / div >
< div class = "line" > < a id = "l00085" name = "l00085" > < / a > < span class = "lineno" > 85< / span > < / div >
< div class = "line" > < a id = "l00086" name = "l00086" > < / a > < span class = "lineno" > 86< / span > } < span class = "comment" > // namespace operations_research::math_opt< / span > < / div >
< div class = "line" > < a id = "l00087" name = "l00087" > < / a > < span class = "lineno" > 87< / span > < / div >
< div class = "line" > < a id = "l00088" name = "l00088" > < / a > < span class = "lineno" > 88< / span > < span class = "preprocessor" > #endif < / span > < span class = "comment" > // OR_TOOLS_MATH_OPT_CORE_SPARSE_SUBMATRIX_H_< / span > < / div >
< div class = "ttc" id = "amath__opt_2core_2sparse__vector_8h_html" > < div class = "ttname" > < a href = "math__opt_2core_2sparse__vector_8h.html" > sparse_vector.h< / a > < / div > < / div >
< div class = "ttc" id = "anamespaceoperations__research_1_1math__opt_html" > < div class = "ttname" > < a href = "namespaceoperations__research_1_1math__opt.html" > operations_research::math_opt< / a > < / div > < div class = "ttdef" > < b > Definition:< / b > < a href = "arrow__operator__proxy_8h_source.html#l00020" > arrow_operator_proxy.h:20< / a > < / div > < / div >
< div class = "ttc" id = "anamespaceoperations__research_1_1math__opt_html_a132f7f9e7f159f70ae154dde62b54efb" > < div class = "ttname" > < a href = "namespaceoperations__research_1_1math__opt.html#a132f7f9e7f159f70ae154dde62b54efb" > operations_research::math_opt::TransposeSparseSubmatrix< / a > < / div > < div class = "ttdeci" > std::vector< std::pair< int64_t, SparseVector< double > > > TransposeSparseSubmatrix(const SparseSubmatrixRowsView & submatrix_by_rows)< / div > < div class = "ttdef" > < b > Definition:< / b > < a href = "sparse__submatrix_8cc_source.html#l00107" > sparse_submatrix.cc:107< / a > < / div > < / div >
< div class = "ttc" id = "anamespaceoperations__research_1_1math__opt_html_a592c92a8c6da987d69b7d77512b2d414" > < div class = "ttname" > < a href = "namespaceoperations__research_1_1math__opt.html#a592c92a8c6da987d69b7d77512b2d414" > operations_research::math_opt::SparseSubmatrixRowsView< / a > < / div > < div class = "ttdeci" > std::vector< std::pair< int64_t, SparseVectorView< double > > > SparseSubmatrixRowsView< / div > < div class = "ttdef" > < b > Definition:< / b > < a href = "sparse__submatrix_8h_source.html#l00031" > sparse_submatrix.h:32< / a > < / div > < / div >
< div class = "ttc" id = "anamespaceoperations__research_1_1math__opt_html_a73f32c619b1fc9c62bcd6c6b9123bb61" > < div class = "ttname" > < a href = "namespaceoperations__research_1_1math__opt.html#a73f32c619b1fc9c62bcd6c6b9123bb61" > operations_research::math_opt::SparseSubmatrixByRows< / a > < / div > < div class = "ttdeci" > SparseSubmatrixRowsView SparseSubmatrixByRows(const SparseDoubleMatrixProto & matrix, const int64_t start_row_id, const std::optional< int64_t > end_row_id, const int64_t start_col_id, const std::optional< int64_t > end_col_id)< / div > < div class = "ttdef" > < b > Definition:< / b > < a href = "sparse__submatrix_8cc_source.html#l00046" > sparse_submatrix.cc:46< / a > < / div > < / div >
< div class = "ttc" id = "asparse__vector__view_8h_html" > < div class = "ttname" > < a href = "sparse__vector__view_8h.html" > sparse_vector_view.h< / a > < / div > < / div >
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