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< a href = "basis__representation_8h.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 2010-2018 Google LLC< / span > < / div >
< 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 >
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< 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 >
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< div class = "line" > < a name = "l00007" > < / a > < span class = "lineno" > 7< / span >   < span class = "comment" > //< / span > < / div >
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< div class = "line" > < a name = "l00014" > < / a > < span class = "lineno" > 14< / span >   < span class = "preprocessor" > #ifndef OR_TOOLS_GLOP_BASIS_REPRESENTATION_H_< / span > < / div >
< div class = "line" > < a name = "l00015" > < / a > < span class = "lineno" > 15< / span >   < span class = "preprocessor" > #define OR_TOOLS_GLOP_BASIS_REPRESENTATION_H_< / span > < / div >
< div class = "line" > < a name = "l00016" > < / a > < span class = "lineno" > 16< / span >   < / div >
< div class = "line" > < a name = "l00017" > < / a > < span class = "lineno" > 17< / span >   < span class = "preprocessor" > #include " < a class = "code" href = "base_2logging_8h.html" > ortools/base/logging.h< / a > " < / span > < / div >
< div class = "line" > < a name = "l00018" > < / a > < span class = "lineno" > 18< / span >   < span class = "preprocessor" > #include " < a class = "code" href = "lu__factorization_8h.html" > ortools/glop/lu_factorization.h< / a > " < / span > < / div >
< div class = "line" > < a name = "l00019" > < / a > < span class = "lineno" > 19< / span >   < span class = "preprocessor" > #include " < a class = "code" href = "parameters_8pb_8h.html" > ortools/glop/parameters.pb.h< / a > " < / span > < / div >
< div class = "line" > < a name = "l00020" > < / a > < span class = "lineno" > 20< / span >   < span class = "preprocessor" > #include " < a class = "code" href = "rank__one__update_8h.html" > ortools/glop/rank_one_update.h< / a > " < / span > < / div >
< div class = "line" > < a name = "l00021" > < / a > < span class = "lineno" > 21< / span >   < span class = "preprocessor" > #include " < a class = "code" href = "status_8h.html" > ortools/glop/status.h< / a > " < / span > < / div >
< div class = "line" > < a name = "l00022" > < / a > < span class = "lineno" > 22< / 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 = "l00023" > < / a > < span class = "lineno" > 23< / span >   < span class = "preprocessor" > #include " < a class = "code" href = "lp__data_2permutation_8h.html" > ortools/lp_data/permutation.h< / a > " < / span > < / div >
< div class = "line" > < a name = "l00024" > < / a > < span class = "lineno" > 24< / span >   < span class = "preprocessor" > #include " < a class = "code" href = "scattered__vector_8h.html" > ortools/lp_data/scattered_vector.h< / a > " < / span > < / div >
< div class = "line" > < a name = "l00025" > < / a > < span class = "lineno" > 25< / 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 = "l00026" > < / a > < span class = "lineno" > 26< / span >   < span class = "preprocessor" > #include " < a class = "code" href = "stats_8h.html" > ortools/util/stats.h< / a > " < / span > < / div >
< div class = "line" > < a name = "l00027" > < / a > < span class = "lineno" > 27< / span >   < / div >
< div class = "line" > < a name = "l00028" > < / a > < span class = "lineno" > 28< / span >   < span class = "keyword" > namespace < / span > < a class = "code" href = "namespaceoperations__research.html" > operations_research< / a > {< / div >
< div class = "line" > < a name = "l00029" > < / a > < span class = "lineno" > 29< / span >   < span class = "keyword" > namespace < / span > glop {< / div >
< div class = "line" > < a name = "l00030" > < / a > < span class = "lineno" > 30< / span >   < / div >
< div class = "line" > < a name = "l00031" > < / a > < span class = "lineno" > 31< / span >   < span class = "comment" > // An eta matrix E corresponds to the identity matrix except for one column e of< / span > < / div >
< div class = "line" > < a name = "l00032" > < / a > < span class = "lineno" > 32< / span >   < span class = "comment" > // index j. In particular, B.E is the matrix of the new basis obtained from B by< / span > < / div >
< div class = "line" > < a name = "l00033" > < / a > < span class = "lineno" > 33< / span >   < span class = "comment" > // replacing the j-th vector of B by B.e, note that this is exactly what happens< / span > < / div >
< div class = "line" > < a name = "l00034" > < / a > < span class = "lineno" > 34< / span >   < span class = "comment" > // during a " pivot" of the current basis in the simplex algorithm.< / span > < / div >
< div class = "line" > < a name = "l00035" > < / a > < span class = "lineno" > 35< / span >   < span class = "comment" > //< / span > < / div >
< div class = "line" > < a name = "l00036" > < / a > < span class = "lineno" > 36< / span >   < span class = "comment" > // E = [ 1 ... 0 e_0 0 ... 0< / span > < / div >
< div class = "line" > < a name = "l00037" > < / a > < span class = "lineno" > 37< / span >   < span class = "comment" > // ... ... ... ... ... ... ...< / span > < / div >
< div class = "line" > < a name = "l00038" > < / a > < span class = "lineno" > 38< / span >   < span class = "comment" > // 0 ... 1 e_{j-1} 0 ... 0< / span > < / div >
< div class = "line" > < a name = "l00039" > < / a > < span class = "lineno" > 39< / span >   < span class = "comment" > // 0 ... 0 e_j 0 ... 0< / span > < / div >
< div class = "line" > < a name = "l00040" > < / a > < span class = "lineno" > 40< / span >   < span class = "comment" > // 0 ... 0 e_{j+1} 1 ... 0< / span > < / div >
< div class = "line" > < a name = "l00041" > < / a > < span class = "lineno" > 41< / span >   < span class = "comment" > // ... ... ... ... ... ... ...< / span > < / div >
< div class = "line" > < a name = "l00042" > < / a > < span class = "lineno" > 42< / span >   < span class = "comment" > // 0 ... 0 e_{n-1} 0 ... 1 ]< / span > < / div >
< div class = "line" > < a name = "l00043" > < / a > < span class = "lineno" > 43< / span >   < span class = "comment" > //< / span > < / div >
< div class = "line" > < a name = "l00044" > < / a > < span class = "lineno" > 44< / span >   < span class = "comment" > // The inverse of the eta matrix is:< / span > < / div >
< div class = "line" > < a name = "l00045" > < / a > < span class = "lineno" > 45< / span >   < span class = "comment" > // E^{-1} = [ 1 ... 0 -e_0/e_j 0 ... 0< / span > < / div >
< div class = "line" > < a name = "l00046" > < / a > < span class = "lineno" > 46< / span >   < span class = "comment" > // ... ... ... ... ... ... ...< / span > < / div >
< div class = "line" > < a name = "l00047" > < / a > < span class = "lineno" > 47< / span >   < span class = "comment" > // 0 ... 1 -e_{j-1}/e_j 0 ... 0< / span > < / div >
< div class = "line" > < a name = "l00048" > < / a > < span class = "lineno" > 48< / span >   < span class = "comment" > // 0 ... 0 1/e_j 0 ... 0< / span > < / div >
< div class = "line" > < a name = "l00049" > < / a > < span class = "lineno" > 49< / span >   < span class = "comment" > // 0 ... 0 -e_{j+1}/e_j 1 ... 0< / span > < / div >
< div class = "line" > < a name = "l00050" > < / a > < span class = "lineno" > 50< / span >   < span class = "comment" > // ... ... ... ... ... ... ...< / span > < / div >
< div class = "line" > < a name = "l00051" > < / a > < span class = "lineno" > 51< / span >   < span class = "comment" > // 0 ... 0 -e_{n-1}/e_j 0 ... 1 ]< / span > < / div >
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< div class = "line" > < a name = "l00052" > < / a > < span class = "lineno" > < a class = "line" href = "classoperations__research_1_1glop_1_1_eta_matrix.html" > 52< / a > < / span >   < span class = "keyword" > class < / span > < a class = "code" href = "classoperations__research_1_1glop_1_1_eta_matrix.html" > EtaMatrix< / a > {< / div >
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< div class = "line" > < a name = "l00053" > < / a > < span class = "lineno" > 53< / span >   < span class = "keyword" > public< / span > :< / div >
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< div class = "line" > < a name = "l00054" > < / a > < span class = "lineno" > 54< / span >   < a class = "code" href = "classoperations__research_1_1glop_1_1_eta_matrix.html#a7b76b8753b814ba45ef9be10454230d9" > EtaMatrix< / a > (ColIndex eta_col, < span class = "keyword" > const< / span > < a class = "code" href = "structoperations__research_1_1glop_1_1_scattered_column.html" > ScatteredColumn< / a > & direction);< / div >
< div class = "line" > < a name = "l00055" > < / a > < span class = "lineno" > 55< / span >   < span class = "keyword" > virtual< / span > < a class = "code" href = "classoperations__research_1_1glop_1_1_eta_matrix.html#a4975f6e9d308a97737d76519e0b773d5" > ~EtaMatrix< / a > ();< / div >
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< div class = "line" > < a name = "l00056" > < / a > < span class = "lineno" > 56< / span >   < / div >
< div class = "line" > < a name = "l00057" > < / a > < span class = "lineno" > 57< / span >   < span class = "comment" > // Solves the system y.E = c, ' c' beeing the initial value of ' y' .< / span > < / div >
< div class = "line" > < a name = "l00058" > < / a > < span class = "lineno" > 58< / span >   < span class = "comment" > // Then y = c.E^{-1}, so y is equal to c except for< / span > < / div >
< div class = "line" > < a name = "l00059" > < / a > < span class = "lineno" > 59< / span >   < span class = "comment" > // y_j = (c_j - \sum_{i != j}{c_i * e_i}) / e_j.< / span > < / div >
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< div class = "line" > < a name = "l00060" > < / a > < span class = "lineno" > 60< / span >   < span class = "keywordtype" > void< / span > < a class = "code" href = "classoperations__research_1_1glop_1_1_eta_matrix.html#a6b5f31c4068711b8e6823f4888f410ce" > LeftSolve< / a > (< a class = "code" href = "classoperations__research_1_1glop_1_1_strict_i_t_i_vector.html" > DenseRow< / a > * y) < span class = "keyword" > const< / span > ;< / div >
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< div class = "line" > < a name = "l00061" > < / a > < span class = "lineno" > 61< / span >   < / div >
< div class = "line" > < a name = "l00062" > < / a > < span class = "lineno" > 62< / span >   < span class = "comment" > // Same as LeftSolve(), but ' pos' contains the non-zero positions of c. The< / span > < / div >
< div class = "line" > < a name = "l00063" > < / a > < span class = "lineno" > 63< / span >   < span class = "comment" > // order of the positions is not important, but there must be no duplicates.< / span > < / div >
< div class = "line" > < a name = "l00064" > < / a > < span class = "lineno" > 64< / span >   < span class = "comment" > // The values not in ' pos' are not used. If eta_col_ was not already in ' pos' ,< / span > < / div >
< div class = "line" > < a name = "l00065" > < / a > < span class = "lineno" > 65< / span >   < span class = "comment" > // it is added.< / span > < / div >
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< div class = "line" > < a name = "l00066" > < / a > < span class = "lineno" > 66< / span >   < span class = "keywordtype" > void< / span > < a class = "code" href = "classoperations__research_1_1glop_1_1_eta_matrix.html#ad1e32061321d5cc422c6f18a8ed6d33d" > SparseLeftSolve< / a > (< a class = "code" href = "classoperations__research_1_1glop_1_1_strict_i_t_i_vector.html" > DenseRow< / a > * y, < a class = "code" href = "namespaceoperations__research_1_1glop.html#a2b83a25cb4fd203c57a7155699fab246" > ColIndexVector< / a > * pos) < span class = "keyword" > const< / span > ;< / div >
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< div class = "line" > < a name = "l00067" > < / a > < span class = "lineno" > 67< / span >   < / div >
< div class = "line" > < a name = "l00068" > < / a > < span class = "lineno" > 68< / span >   < span class = "comment" > // Solves the system E.d = a, ' a' beeing the initial value of ' d' .< / span > < / div >
< div class = "line" > < a name = "l00069" > < / a > < span class = "lineno" > 69< / span >   < span class = "comment" > // Then d = E^{-1}.a = [ a_0 - e_0 * a_j / e_j< / span > < / div >
< div class = "line" > < a name = "l00070" > < / a > < span class = "lineno" > 70< / span >   < span class = "comment" > // ...< / span > < / div >
< div class = "line" > < a name = "l00071" > < / a > < span class = "lineno" > 71< / span >   < span class = "comment" > // a_{j-1} - e_{j-1} * a_j / e_j< / span > < / div >
< div class = "line" > < a name = "l00072" > < / a > < span class = "lineno" > 72< / span >   < span class = "comment" > // a_j / e_j< / span > < / div >
< div class = "line" > < a name = "l00073" > < / a > < span class = "lineno" > 73< / span >   < span class = "comment" > // a_{j+1} - e_{j+1} * a_j / e_j< / span > < / div >
< div class = "line" > < a name = "l00074" > < / a > < span class = "lineno" > 74< / span >   < span class = "comment" > // ...< / span > < / div >
< div class = "line" > < a name = "l00075" > < / a > < span class = "lineno" > 75< / span >   < span class = "comment" > // a_{n-1} - e_{n-1} * a_j / e_j ]< / span > < / div >
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< div class = "line" > < a name = "l00076" > < / a > < span class = "lineno" > 76< / span >   < span class = "keywordtype" > void< / span > < a class = "code" href = "classoperations__research_1_1glop_1_1_eta_matrix.html#a3cb026dc900190c13b208d24134755ed" > RightSolve< / a > (< a class = "code" href = "classoperations__research_1_1glop_1_1_strict_i_t_i_vector.html" > DenseColumn< / a > * d) < span class = "keyword" > const< / span > ;< / div >
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< div class = "line" > < a name = "l00077" > < / a > < span class = "lineno" > 77< / span >   < / div >
< div class = "line" > < a name = "l00078" > < / a > < span class = "lineno" > 78< / span >   < span class = "keyword" > private< / span > :< / div >
< div class = "line" > < a name = "l00079" > < / a > < span class = "lineno" > 79< / span >   < span class = "comment" > // Internal RightSolve() and LeftSolve() implementations using either the< / span > < / div >
< div class = "line" > < a name = "l00080" > < / a > < span class = "lineno" > 80< / span >   < span class = "comment" > // dense or the sparse representation of the eta vector.< / span > < / div >
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< div class = "line" > < a name = "l00081" > < / a > < span class = "lineno" > 81< / span >   < span class = "keywordtype" > void< / span > LeftSolveWithDenseEta(< a class = "code" href = "classoperations__research_1_1glop_1_1_strict_i_t_i_vector.html" > DenseRow< / a > * y) < span class = "keyword" > const< / span > ;< / div >
< div class = "line" > < a name = "l00082" > < / a > < span class = "lineno" > 82< / span >   < span class = "keywordtype" > void< / span > LeftSolveWithSparseEta(< a class = "code" href = "classoperations__research_1_1glop_1_1_strict_i_t_i_vector.html" > DenseRow< / a > * y) < span class = "keyword" > const< / span > ;< / div >
< div class = "line" > < a name = "l00083" > < / a > < span class = "lineno" > 83< / span >   < span class = "keywordtype" > void< / span > RightSolveWithDenseEta(< a class = "code" href = "classoperations__research_1_1glop_1_1_strict_i_t_i_vector.html" > DenseColumn< / a > * d) < span class = "keyword" > const< / span > ;< / div >
< div class = "line" > < a name = "l00084" > < / a > < span class = "lineno" > 84< / span >   < span class = "keywordtype" > void< / span > RightSolveWithSparseEta(< a class = "code" href = "classoperations__research_1_1glop_1_1_strict_i_t_i_vector.html" > DenseColumn< / a > * d) < span class = "keyword" > const< / span > ;< / div >
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< div class = "line" > < a name = "l00085" > < / a > < span class = "lineno" > 85< / span >   < / div >
< div class = "line" > < a name = "l00086" > < / a > < span class = "lineno" > 86< / span >   < span class = "comment" > // If an eta vector density is smaller than this threshold, we use the< / span > < / div >
< div class = "line" > < a name = "l00087" > < / a > < span class = "lineno" > 87< / span >   < span class = "comment" > // sparse version of the Solve() functions rather than the dense version.< / span > < / div >
< div class = "line" > < a name = "l00088" > < / a > < span class = "lineno" > 88< / span >   < span class = "comment" > // TODO(user): Detect automatically a good parameter? 0.5 is a good value on< / span > < / div >
< div class = "line" > < a name = "l00089" > < / a > < span class = "lineno" > 89< / span >   < span class = "comment" > // the Netlib (I only did a few experiments though). Note that in the future< / span > < / div >
< div class = "line" > < a name = "l00090" > < / a > < span class = "lineno" > 90< / span >   < span class = "comment" > // we may not even keep the dense representation at all.< / span > < / div >
< div class = "line" > < a name = "l00091" > < / a > < span class = "lineno" > 91< / span >   < span class = "keyword" > static< / span > < span class = "keyword" > const< / span > < a class = "code" href = "namespaceoperations__research_1_1glop.html#a733947145e3e1631165b618b05c9ccb7" > Fractional< / a > kSparseThreshold;< / 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 = "keyword" > const< / span > ColIndex eta_col_;< / div >
< div class = "line" > < a name = "l00094" > < / a > < span class = "lineno" > 94< / span >   < span class = "keyword" > const< / span > < a class = "code" href = "namespaceoperations__research_1_1glop.html#a733947145e3e1631165b618b05c9ccb7" > Fractional< / a > eta_col_coefficient_;< / div >
< div class = "line" > < a name = "l00095" > < / a > < span class = "lineno" > 95< / span >   < / div >
< div class = "line" > < a name = "l00096" > < / a > < span class = "lineno" > 96< / span >   < span class = "comment" > // Note that to optimize solves, the position eta_col_ is set to 0.0 and< / span > < / div >
< div class = "line" > < a name = "l00097" > < / a > < span class = "lineno" > 97< / span >   < span class = "comment" > // stored in eta_col_coefficient_ instead.< / span > < / div >
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< div class = "line" > < a name = "l00098" > < / a > < span class = "lineno" > 98< / span >   < a class = "code" href = "classoperations__research_1_1glop_1_1_strict_i_t_i_vector.html" > DenseColumn< / a > eta_coeff_;< / div >
< div class = "line" > < a name = "l00099" > < / a > < span class = "lineno" > 99< / span >   < a class = "code" href = "classoperations__research_1_1glop_1_1_sparse_column.html" > SparseColumn< / a > sparse_eta_coeff_;< / div >
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< div class = "line" > < a name = "l00100" > < / a > < span class = "lineno" > 100< / span >   < / div >
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< div class = "line" > < a name = "l00101" > < / a > < span class = "lineno" > 101< / span >   DISALLOW_COPY_AND_ASSIGN(< a class = "code" href = "classoperations__research_1_1glop_1_1_eta_matrix.html" > EtaMatrix< / a > );< / div >
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< div class = "line" > < a name = "l00102" > < / a > < span class = "lineno" > 102< / span >   };< / div >
< div class = "line" > < a name = "l00103" > < / a > < span class = "lineno" > 103< / span >   < / div >
< div class = "line" > < a name = "l00104" > < / a > < span class = "lineno" > 104< / span >   < span class = "comment" > // An eta factorization corresponds to the product of k eta matrices,< / span > < / div >
< div class = "line" > < a name = "l00105" > < / a > < span class = "lineno" > 105< / span >   < span class = "comment" > // i.e. E = E_0.E_1. ... .E_{k-1}< / span > < / div >
< div class = "line" > < a name = "l00106" > < / a > < span class = "lineno" > 106< / span >   < span class = "comment" > // It is used to solve two systems:< / span > < / div >
< div class = "line" > < a name = "l00107" > < / a > < span class = "lineno" > 107< / span >   < span class = "comment" > // - E.d = a (where a is usually the entering column).< / span > < / div >
< div class = "line" > < a name = "l00108" > < / a > < span class = "lineno" > 108< / span >   < span class = "comment" > // - y.E = c (where c is usually the objective row).< / span > < / div >
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< div class = "line" > < a name = "l00109" > < / a > < span class = "lineno" > < a class = "line" href = "classoperations__research_1_1glop_1_1_eta_factorization.html" > 109< / a > < / span >   < span class = "keyword" > class < / span > < a class = "code" href = "classoperations__research_1_1glop_1_1_eta_factorization.html" > EtaFactorization< / a > {< / div >
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< div class = "line" > < a name = "l00110" > < / a > < span class = "lineno" > 110< / span >   < span class = "keyword" > public< / span > :< / div >
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< div class = "line" > < a name = "l00111" > < / a > < span class = "lineno" > 111< / span >   < a class = "code" href = "classoperations__research_1_1glop_1_1_eta_factorization.html#acddc81707ff8e60f4ab42b3c21939be6" > EtaFactorization< / a > ();< / div >
< div class = "line" > < a name = "l00112" > < / a > < span class = "lineno" > 112< / span >   < span class = "keyword" > virtual< / span > < a class = "code" href = "classoperations__research_1_1glop_1_1_eta_factorization.html#aa4714584196a160a394ec3345b30ec03" > ~EtaFactorization< / a > ();< / div >
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< div class = "line" > < a name = "l00113" > < / a > < span class = "lineno" > 113< / span >   < / div >
< div class = "line" > < a name = "l00114" > < / a > < span class = "lineno" > 114< / span >   < span class = "comment" > // Deletes all eta matrices.< / span > < / div >
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< div class = "line" > < a name = "l00115" > < / a > < span class = "lineno" > 115< / span >   < span class = "keywordtype" > void< / span > < a class = "code" href = "classoperations__research_1_1glop_1_1_eta_factorization.html#aa71d36872f416feaa853788a7a7a7ef8" > Clear< / a > ();< / div >
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< 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 = "comment" > // Updates the eta factorization, i.e. adds the new eta matrix defined by< / span > < / div >
< div class = "line" > < a name = "l00118" > < / a > < span class = "lineno" > 118< / span >   < span class = "comment" > // the leaving variable and the corresponding eta column.< / span > < / div >
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< div class = "line" > < a name = "l00119" > < / a > < span class = "lineno" > 119< / span >   < span class = "keywordtype" > void< / span > < a class = "code" href = "classoperations__research_1_1glop_1_1_eta_factorization.html#ae3aaa0f52a29f8a7b3f4550f97ca915d" > Update< / a > (ColIndex entering_col, RowIndex leaving_variable_row,< / div >
< div class = "line" > < a name = "l00120" > < / a > < span class = "lineno" > 120< / span >   < span class = "keyword" > const< / span > < a class = "code" href = "structoperations__research_1_1glop_1_1_scattered_column.html" > ScatteredColumn< / a > & direction);< / div >
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< div class = "line" > < a name = "l00121" > < / a > < span class = "lineno" > 121< / span >   < / div >
< div class = "line" > < a name = "l00122" > < / a > < span class = "lineno" > 122< / span >   < span class = "comment" > // Left solves all systems from right to left, i.e. y_i = y_{i+1}.(E_i)^{-1}< / span > < / div >
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< div class = "line" > < a name = "l00123" > < / a > < span class = "lineno" > 123< / span >   < span class = "keywordtype" > void< / span > < a class = "code" href = "classoperations__research_1_1glop_1_1_eta_factorization.html#a6b5f31c4068711b8e6823f4888f410ce" > LeftSolve< / a > (< a class = "code" href = "classoperations__research_1_1glop_1_1_strict_i_t_i_vector.html" > DenseRow< / a > * y) < span class = "keyword" > const< / span > ;< / div >
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< div class = "line" > < a name = "l00124" > < / a > < span class = "lineno" > 124< / span >   < / div >
< div class = "line" > < a name = "l00125" > < / a > < span class = "lineno" > 125< / span >   < span class = "comment" > // Same as LeftSolve(), but ' pos' contains the non-zero positions of c. The< / span > < / div >
< div class = "line" > < a name = "l00126" > < / a > < span class = "lineno" > 126< / span >   < span class = "comment" > // order of the positions is not important, but there must be no duplicates.< / span > < / div >
< div class = "line" > < a name = "l00127" > < / a > < span class = "lineno" > 127< / span >   < span class = "comment" > // The values not in ' pos' are not used. If eta_col_ was not already in ' pos' ,< / span > < / div >
< div class = "line" > < a name = "l00128" > < / a > < span class = "lineno" > 128< / span >   < span class = "comment" > // it is added.< / span > < / div >
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< div class = "line" > < a name = "l00129" > < / a > < span class = "lineno" > 129< / span >   < span class = "keywordtype" > void< / span > < a class = "code" href = "classoperations__research_1_1glop_1_1_eta_factorization.html#ad1e32061321d5cc422c6f18a8ed6d33d" > SparseLeftSolve< / a > (< a class = "code" href = "classoperations__research_1_1glop_1_1_strict_i_t_i_vector.html" > DenseRow< / a > * y, < a class = "code" href = "namespaceoperations__research_1_1glop.html#a2b83a25cb4fd203c57a7155699fab246" > ColIndexVector< / a > * pos) < span class = "keyword" > const< / span > ;< / div >
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< 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" > // Right solves all systems from left to right, i.e. E_i.d_{i+1} = d_i< / span > < / div >
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< div class = "line" > < a name = "l00132" > < / a > < span class = "lineno" > 132< / span >   < span class = "keywordtype" > void< / span > < a class = "code" href = "classoperations__research_1_1glop_1_1_eta_factorization.html#a3cb026dc900190c13b208d24134755ed" > RightSolve< / a > (< a class = "code" href = "classoperations__research_1_1glop_1_1_strict_i_t_i_vector.html" > DenseColumn< / a > * d) < span class = "keyword" > const< / span > ;< / div >
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< div class = "line" > < a name = "l00133" > < / a > < span class = "lineno" > 133< / span >   < / div >
< div class = "line" > < a name = "l00134" > < / a > < span class = "lineno" > 134< / span >   < span class = "keyword" > private< / span > :< / div >
< div class = "line" > < a name = "l00135" > < / a > < span class = "lineno" > 135< / span >   std::vector< EtaMatrix*> eta_matrix_;< / div >
< div class = "line" > < a name = "l00136" > < / a > < span class = "lineno" > 136< / span >   < / div >
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< div class = "line" > < a name = "l00137" > < / a > < span class = "lineno" > 137< / span >   DISALLOW_COPY_AND_ASSIGN(< a class = "code" href = "classoperations__research_1_1glop_1_1_eta_factorization.html" > EtaFactorization< / a > );< / div >
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< div class = "line" > < a name = "l00138" > < / a > < span class = "lineno" > 138< / span >   };< / div >
< div class = "line" > < a name = "l00139" > < / a > < span class = "lineno" > 139< / span >   < / div >
< div class = "line" > < a name = "l00140" > < / a > < span class = "lineno" > 140< / span >   < span class = "comment" > // A basis factorization is the product of an eta factorization and< / span > < / div >
< div class = "line" > < a name = "l00141" > < / a > < span class = "lineno" > 141< / span >   < span class = "comment" > // a L.U decomposition, i.e. B = L.U.E_0.E_1. ... .E_{k-1}< / span > < / div >
< div class = "line" > < a name = "l00142" > < / a > < span class = "lineno" > 142< / span >   < span class = "comment" > // It is used to solve two systems:< / span > < / div >
< div class = "line" > < a name = "l00143" > < / a > < span class = "lineno" > 143< / span >   < span class = "comment" > // - B.d = a where a is the entering column.< / span > < / div >
< div class = "line" > < a name = "l00144" > < / a > < span class = "lineno" > 144< / span >   < span class = "comment" > // - y.B = c where c is the objective row.< / span > < / div >
< div class = "line" > < a name = "l00145" > < / a > < span class = "lineno" > 145< / span >   < span class = "comment" > //< / span > < / div >
< div class = "line" > < a name = "l00146" > < / a > < span class = "lineno" > 146< / span >   < span class = "comment" > // To speed-up and improve stability the factorization is refactorized at least< / span > < / div >
< div class = "line" > < a name = "l00147" > < / a > < span class = "lineno" > 147< / span >   < span class = "comment" > // every ' refactorization_period' updates.< / span > < / div >
< div class = "line" > < a name = "l00148" > < / a > < span class = "lineno" > 148< / span >   < span class = "comment" > //< / span > < / div >
< div class = "line" > < a name = "l00149" > < / a > < span class = "lineno" > 149< / span >   < span class = "comment" > // This class does not take ownership of the underlying matrix and basis, and< / span > < / div >
< div class = "line" > < a name = "l00150" > < / a > < span class = "lineno" > 150< / span >   < span class = "comment" > // thus they must outlive this class (and keep the same address in memory).< / span > < / div >
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< div class = "line" > < a name = "l00151" > < / a > < span class = "lineno" > < a class = "line" href = "classoperations__research_1_1glop_1_1_basis_factorization.html" > 151< / a > < / span >   < span class = "keyword" > class < / span > < a class = "code" href = "classoperations__research_1_1glop_1_1_basis_factorization.html" > BasisFactorization< / a > {< / div >
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< div class = "line" > < a name = "l00152" > < / a > < span class = "lineno" > 152< / span >   < span class = "keyword" > public< / span > :< / div >
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< div class = "line" > < a name = "l00153" > < / a > < span class = "lineno" > 153< / span >   < a class = "code" href = "classoperations__research_1_1glop_1_1_basis_factorization.html#a278dfa01552170d8e781c1b7e613479e" > BasisFactorization< / a > (< span class = "keyword" > const< / span > < a class = "code" href = "classoperations__research_1_1glop_1_1_compact_sparse_matrix.html" > CompactSparseMatrix< / a > * compact_matrix,< / div >
< div class = "line" > < a name = "l00154" > < / a > < span class = "lineno" > 154< / span >   < span class = "keyword" > const< / span > < a class = "code" href = "classoperations__research_1_1glop_1_1_strict_i_t_i_vector.html" > RowToColMapping< / a > * basis);< / div >
< div class = "line" > < a name = "l00155" > < / a > < span class = "lineno" > 155< / span >   < span class = "keyword" > virtual< / span > < a class = "code" href = "classoperations__research_1_1glop_1_1_basis_factorization.html#a90c2785b56a02a7d2e87b72cef43db9e" > ~BasisFactorization< / a > ();< / div >
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< div class = "line" > < a name = "l00156" > < / a > < span class = "lineno" > 156< / span >   < / div >
< div class = "line" > < a name = "l00157" > < / a > < span class = "lineno" > 157< / span >   < span class = "comment" > // Sets the parameters for this component.< / span > < / div >
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< div class = "line" > < a name = "l00158" > < / a > < span class = "lineno" > < a class = "line" href = "classoperations__research_1_1glop_1_1_basis_factorization.html#ae7202d055b6b172a8a1da4f5b136f9ea" > 158< / a > < / span >   < span class = "keywordtype" > void< / span > < a class = "code" href = "classoperations__research_1_1glop_1_1_basis_factorization.html#ae7202d055b6b172a8a1da4f5b136f9ea" > SetParameters< / a > (< span class = "keyword" > const< / span > GlopParameters& < a class = "code" href = "cp__model__fz__solver_8cc.html#a10a1eab179b472c030bdc2a2efef7219" > parameters< / a > ) {< / div >
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< div class = "line" > < a name = "l00159" > < / a > < span class = "lineno" > 159< / span >   max_num_updates_ = < a class = "code" href = "cp__model__fz__solver_8cc.html#a10a1eab179b472c030bdc2a2efef7219" > parameters< / a > .basis_refactorization_period();< / div >
< div class = "line" > < a name = "l00160" > < / a > < span class = "lineno" > 160< / span >   use_middle_product_form_update_ =< / div >
< div class = "line" > < a name = "l00161" > < / a > < span class = "lineno" > 161< / span >   < a class = "code" href = "cp__model__fz__solver_8cc.html#a10a1eab179b472c030bdc2a2efef7219" > parameters< / a > .use_middle_product_form_update();< / div >
< div class = "line" > < a name = "l00162" > < / a > < span class = "lineno" > 162< / span >   parameters_ = < a class = "code" href = "cp__model__fz__solver_8cc.html#a10a1eab179b472c030bdc2a2efef7219" > parameters< / a > ;< / div >
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< div class = "line" > < a name = "l00163" > < / a > < span class = "lineno" > 163< / span >   lu_factorization_.< a class = "code" href = "classoperations__research_1_1glop_1_1_lu_factorization.html#ae7202d055b6b172a8a1da4f5b136f9ea" > SetParameters< / a > (< a class = "code" href = "cp__model__fz__solver_8cc.html#a10a1eab179b472c030bdc2a2efef7219" > parameters< / a > );< / div >
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< div class = "line" > < a name = "l00164" > < / a > < span class = "lineno" > 164< / span >   }< / div >
< div class = "line" > < a name = "l00165" > < / a > < span class = "lineno" > 165< / span >   < / div >
< div class = "line" > < a name = "l00166" > < / a > < span class = "lineno" > 166< / span >   < span class = "comment" > // Returns the column permutation used by the LU factorization.< / span > < / div >
< div class = "line" > < a name = "l00167" > < / a > < span class = "lineno" > 167< / span >   < span class = "comment" > // This call only makes sense if the basis was just refactorized.< / span > < / div >
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< div class = "line" > < a name = "l00168" > < / a > < span class = "lineno" > < a class = "line" href = "classoperations__research_1_1glop_1_1_basis_factorization.html#a56d08f5289eea3f018dca5b93b6fca6b" > 168< / a > < / span >   < span class = "keyword" > const< / span > < a class = "code" href = "classoperations__research_1_1glop_1_1_permutation.html" > ColumnPermutation< / a > & < a class = "code" href = "classoperations__research_1_1glop_1_1_basis_factorization.html#a56d08f5289eea3f018dca5b93b6fca6b" > GetColumnPermutation< / a > ()< span class = "keyword" > const < / span > {< / div >
2020-11-18 14:53:30 +01:00
< div class = "line" > < a name = "l00169" > < / a > < span class = "lineno" > 169< / span >   < a class = "code" href = "base_2logging_8h.html#ae17f8119c108cf3070bad3449c7e0006" > DCHECK< / a > (< a class = "code" href = "classoperations__research_1_1glop_1_1_basis_factorization.html#a6e2a232672ee1580b9144f558662a77c" > IsRefactorized< / a > ());< / div >
2020-10-09 12:00:09 +02:00
< div class = "line" > < a name = "l00170" > < / a > < span class = "lineno" > 170< / span >   < span class = "keywordflow" > return< / span > lu_factorization_.< a class = "code" href = "classoperations__research_1_1glop_1_1_lu_factorization.html#a56d08f5289eea3f018dca5b93b6fca6b" > GetColumnPermutation< / a > ();< / div >
2020-09-01 16:00:33 +02:00
< div class = "line" > < a name = "l00171" > < / a > < span class = "lineno" > 171< / span >   }< / div >
< div class = "line" > < a name = "l00172" > < / a > < span class = "lineno" > 172< / span >   < / div >
< div class = "line" > < a name = "l00173" > < / a > < span class = "lineno" > 173< / span >   < span class = "comment" > // Sets the column permutation used by the LU factorization to the identity.< / span > < / div >
< div class = "line" > < a name = "l00174" > < / a > < span class = "lineno" > 174< / span >   < span class = "comment" > // Hense the Solve() results will be computed without this permutation.< / span > < / div >
< div class = "line" > < a name = "l00175" > < / a > < span class = "lineno" > 175< / span >   < span class = "comment" > // This call only makes sense if the basis was just refactorized.< / span > < / div >
2020-10-09 12:00:09 +02:00
< div class = "line" > < a name = "l00176" > < / a > < span class = "lineno" > < a class = "line" href = "classoperations__research_1_1glop_1_1_basis_factorization.html#ad91a397910de30b87b9fb45298fa5c58" > 176< / a > < / span >   < span class = "keywordtype" > void< / span > < a class = "code" href = "classoperations__research_1_1glop_1_1_basis_factorization.html#ad91a397910de30b87b9fb45298fa5c58" > SetColumnPermutationToIdentity< / a > () {< / div >
2020-11-18 14:53:30 +01:00
< div class = "line" > < a name = "l00177" > < / a > < span class = "lineno" > 177< / span >   < a class = "code" href = "base_2logging_8h.html#ae17f8119c108cf3070bad3449c7e0006" > DCHECK< / a > (< a class = "code" href = "classoperations__research_1_1glop_1_1_basis_factorization.html#a6e2a232672ee1580b9144f558662a77c" > IsRefactorized< / a > ());< / div >
2020-10-09 12:00:09 +02:00
< div class = "line" > < a name = "l00178" > < / a > < span class = "lineno" > 178< / span >   lu_factorization_.< a class = "code" href = "classoperations__research_1_1glop_1_1_lu_factorization.html#ad91a397910de30b87b9fb45298fa5c58" > SetColumnPermutationToIdentity< / a > ();< / div >
2020-09-01 16:00:33 +02:00
< 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 >   < / div >
< div class = "line" > < a name = "l00181" > < / a > < span class = "lineno" > 181< / span >   < span class = "comment" > // Clears the factorization and resets it to an identity matrix of size given< / span > < / div >
< div class = "line" > < a name = "l00182" > < / a > < span class = "lineno" > 182< / span >   < span class = "comment" > // by matrix_.num_rows().< / span > < / div >
2020-10-09 12:00:09 +02:00
< div class = "line" > < a name = "l00183" > < / a > < span class = "lineno" > 183< / span >   < span class = "keywordtype" > void< / span > < a class = "code" href = "classoperations__research_1_1glop_1_1_basis_factorization.html#aa71d36872f416feaa853788a7a7a7ef8" > Clear< / a > ();< / div >
2020-09-01 16:00:33 +02:00
< div class = "line" > < a name = "l00184" > < / a > < span class = "lineno" > 184< / span >   < / div >
< div class = "line" > < a name = "l00185" > < / a > < span class = "lineno" > 185< / span >   < span class = "comment" > // Clears the factorization and initializes the class using the current< / span > < / div >
< div class = "line" > < a name = "l00186" > < / a > < span class = "lineno" > 186< / span >   < span class = "comment" > // matrix_ and basis_. This is fast if IsIdentityBasis() is true, otherwise< / span > < / div >
< div class = "line" > < a name = "l00187" > < / a > < span class = "lineno" > 187< / span >   < span class = "comment" > // it will trigger a refactorization and will return an error if the matrix< / span > < / div >
< div class = "line" > < a name = "l00188" > < / a > < span class = "lineno" > 188< / span >   < span class = "comment" > // could not be factorized.< / span > < / div >
2020-10-09 12:00:09 +02:00
< div class = "line" > < a name = "l00189" > < / a > < span class = "lineno" > 189< / span >   ABSL_MUST_USE_RESULT < a class = "code" href = "classoperations__research_1_1glop_1_1_status.html" > Status< / a > < a class = "code" href = "classoperations__research_1_1glop_1_1_basis_factorization.html#a697f638cbd5a2dab2977b24e550bd7f9" > Initialize< / a > ();< / div >
2020-09-01 16:00:33 +02:00
< 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 >   < span class = "comment" > // Return the number of rows in the basis.< / span > < / div >
2020-10-09 12:00:09 +02:00
< div class = "line" > < a name = "l00192" > < / a > < span class = "lineno" > < a class = "line" href = "classoperations__research_1_1glop_1_1_basis_factorization.html#ae1d8c3228cb8e036c1d8ab67336a7d2f" > 192< / a > < / span >   RowIndex < a class = "code" href = "classoperations__research_1_1glop_1_1_basis_factorization.html#ae1d8c3228cb8e036c1d8ab67336a7d2f" > GetNumberOfRows< / a > ()< span class = "keyword" > const < / span > { < span class = "keywordflow" > return< / span > compact_matrix_.< a class = "code" href = "classoperations__research_1_1glop_1_1_compact_sparse_matrix.html#a960110e64357a3e69162ebf1f71959dd" > num_rows< / a > (); }< / div >
2020-09-01 16:00:33 +02:00
< 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 = "comment" > // Clears eta factorization and refactorizes LU.< / span > < / div >
< div class = "line" > < a name = "l00195" > < / a > < span class = "lineno" > 195< / span >   < span class = "comment" > // Nothing happens if this is called on an already refactorized basis.< / span > < / div >
< div class = "line" > < a name = "l00196" > < / a > < span class = "lineno" > 196< / span >   < span class = "comment" > // Returns an error if the matrix could not be factorized: i.e. not a basis.< / span > < / div >
2020-10-09 12:00:09 +02:00
< div class = "line" > < a name = "l00197" > < / a > < span class = "lineno" > 197< / span >   ABSL_MUST_USE_RESULT < a class = "code" href = "classoperations__research_1_1glop_1_1_status.html" > Status< / a > < a class = "code" href = "classoperations__research_1_1glop_1_1_basis_factorization.html#a39b7e347f32f4024a988cb93f5e81a2d" > Refactorize< / a > ();< / div >
2020-09-01 16:00:33 +02:00
< div class = "line" > < a name = "l00198" > < / a > < span class = "lineno" > 198< / span >   < / div >
< div class = "line" > < a name = "l00199" > < / a > < span class = "lineno" > 199< / span >   < span class = "comment" > // Like Refactorize(), but do it even if IsRefactorized() is true.< / span > < / div >
< div class = "line" > < a name = "l00200" > < / a > < span class = "lineno" > 200< / span >   < span class = "comment" > // Call this if the underlying basis_ changed and Update() wasn' t called.< / span > < / div >
2020-10-09 12:00:09 +02:00
< div class = "line" > < a name = "l00201" > < / a > < span class = "lineno" > 201< / span >   ABSL_MUST_USE_RESULT < a class = "code" href = "classoperations__research_1_1glop_1_1_status.html" > Status< / a > < a class = "code" href = "classoperations__research_1_1glop_1_1_basis_factorization.html#aedf255db8741ebb2011757ff37dfc02e" > ForceRefactorization< / a > ();< / div >
2020-09-01 16:00:33 +02:00
< div class = "line" > < a name = "l00202" > < / a > < span class = "lineno" > 202< / span >   < / div >
< div class = "line" > < a name = "l00203" > < / a > < span class = "lineno" > 203< / span >   < span class = "comment" > // Returns true if the factorization was just recomputed.< / span > < / div >
2020-10-09 12:00:09 +02:00
< div class = "line" > < a name = "l00204" > < / a > < span class = "lineno" > 204< / span >   < span class = "keywordtype" > bool< / span > < a class = "code" href = "classoperations__research_1_1glop_1_1_basis_factorization.html#a6e2a232672ee1580b9144f558662a77c" > IsRefactorized< / a > () < span class = "keyword" > const< / span > ;< / div >
2020-09-01 16:00:33 +02:00
< 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 >   < span class = "comment" > // Updates the factorization. The ' eta' column will be modified with a swap to< / span > < / div >
< div class = "line" > < a name = "l00207" > < / a > < span class = "lineno" > 207< / span >   < span class = "comment" > // avoid a copy (only if the standard eta update is used). Returns an error if< / span > < / div >
< div class = "line" > < a name = "l00208" > < / a > < span class = "lineno" > 208< / span >   < span class = "comment" > // the matrix could not be factorized: i.e. not a basis.< / span > < / div >
2020-10-09 12:00:09 +02:00
< div class = "line" > < a name = "l00209" > < / a > < span class = "lineno" > 209< / span >   ABSL_MUST_USE_RESULT < a class = "code" href = "classoperations__research_1_1glop_1_1_status.html" > Status< / a > < a class = "code" href = "classoperations__research_1_1glop_1_1_basis_factorization.html#a87e6110ce2612a27f85e9036afef1599" > Update< / a > (ColIndex entering_col,< / div >
2020-09-01 16:00:33 +02:00
< div class = "line" > < a name = "l00210" > < / a > < span class = "lineno" > 210< / span >   RowIndex leaving_variable_row,< / div >
2020-10-09 12:00:09 +02:00
< div class = "line" > < a name = "l00211" > < / a > < span class = "lineno" > 211< / span >   < span class = "keyword" > const< / span > < a class = "code" href = "structoperations__research_1_1glop_1_1_scattered_column.html" > ScatteredColumn< / a > & direction);< / div >
2020-09-01 16:00:33 +02:00
< div class = "line" > < a name = "l00212" > < / a > < span class = "lineno" > 212< / span >   < / div >
< div class = "line" > < a name = "l00213" > < / a > < span class = "lineno" > 213< / span >   < span class = "comment" > // Left solves the system y.B = rhs, where y initialy contains rhs.< / span > < / div >
2020-10-09 12:00:09 +02:00
< div class = "line" > < a name = "l00214" > < / a > < span class = "lineno" > 214< / span >   < span class = "keywordtype" > void< / span > < a class = "code" href = "classoperations__research_1_1glop_1_1_basis_factorization.html#aacdbeb58ac2d391f6586ad88db99ad61" > LeftSolve< / a > (< a class = "code" href = "structoperations__research_1_1glop_1_1_scattered_row.html" > ScatteredRow< / a > * y) < span class = "keyword" > const< / span > ;< / div >
2020-09-01 16:00:33 +02:00
< div class = "line" > < a name = "l00215" > < / a > < span class = "lineno" > 215< / span >   < / div >
< div class = "line" > < a name = "l00216" > < / a > < span class = "lineno" > 216< / span >   < span class = "comment" > // Left solves the system y.B = e_j, where e_j has only 1 non-zero< / span > < / div >
< div class = "line" > < a name = "l00217" > < / a > < span class = "lineno" > 217< / span >   < span class = "comment" > // coefficient of value 1.0 at position ' j' .< / span > < / div >
2020-10-09 12:00:09 +02:00
< div class = "line" > < a name = "l00218" > < / a > < span class = "lineno" > 218< / span >   < span class = "keywordtype" > void< / span > < a class = "code" href = "classoperations__research_1_1glop_1_1_basis_factorization.html#a41b0509864e6eb62f0415975a914ba4b" > LeftSolveForUnitRow< / a > (ColIndex j, < a class = "code" href = "structoperations__research_1_1glop_1_1_scattered_row.html" > ScatteredRow< / a > * y) < span class = "keyword" > const< / span > ;< / div >
2020-09-01 16:00:33 +02:00
< 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 >   < span class = "comment" > // Same as LeftSolveForUnitRow() but does not update any internal data.< / span > < / div >
2020-10-09 12:00:09 +02:00
< div class = "line" > < a name = "l00221" > < / a > < span class = "lineno" > 221< / span >   < span class = "keywordtype" > void< / span > < a class = "code" href = "classoperations__research_1_1glop_1_1_basis_factorization.html#a781d7728c278ae44bf265cf222479b98" > TemporaryLeftSolveForUnitRow< / a > (ColIndex j, < a class = "code" href = "structoperations__research_1_1glop_1_1_scattered_row.html" > ScatteredRow< / a > * y) < span class = "keyword" > const< / span > ;< / div >
2020-09-01 16:00:33 +02:00
< 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 >   < span class = "comment" > // Right solves the system B.d = a where the input is the initial value of d.< / span > < / div >
2020-10-09 12:00:09 +02:00
< div class = "line" > < a name = "l00224" > < / a > < span class = "lineno" > 224< / span >   < span class = "keywordtype" > void< / span > < a class = "code" href = "classoperations__research_1_1glop_1_1_basis_factorization.html#aeaeb43840844cc69a88dc924b282b4c7" > RightSolve< / a > (< a class = "code" href = "structoperations__research_1_1glop_1_1_scattered_column.html" > ScatteredColumn< / a > * d) < span class = "keyword" > const< / span > ;< / div >
2020-09-01 16:00:33 +02:00
< div class = "line" > < a name = "l00225" > < / a > < span class = "lineno" > 225< / span >   < / div >
< div class = "line" > < a name = "l00226" > < / a > < span class = "lineno" > 226< / span >   < span class = "comment" > // Same as RightSolve() for matrix.column(col). This also exploits its< / span > < / div >
< div class = "line" > < a name = "l00227" > < / a > < span class = "lineno" > 227< / span >   < span class = "comment" > // sparsity.< / span > < / div >
2020-10-09 12:00:09 +02:00
< div class = "line" > < a name = "l00228" > < / a > < span class = "lineno" > 228< / span >   < span class = "keywordtype" > void< / span > < a class = "code" href = "classoperations__research_1_1glop_1_1_basis_factorization.html#ab9de0c21968ffad6320a44a010e33e07" > RightSolveForProblemColumn< / a > (ColIndex < a class = "code" href = "markowitz_8cc.html#aa9d6c98fdf8d89b0e2321fda02adc82c" > col< / a > , < a class = "code" href = "structoperations__research_1_1glop_1_1_scattered_column.html" > ScatteredColumn< / a > * d) < span class = "keyword" > const< / span > ;< / div >
2020-09-01 16:00:33 +02:00
< div class = "line" > < a name = "l00229" > < / a > < span class = "lineno" > 229< / span >   < / div >
< div class = "line" > < a name = "l00230" > < / a > < span class = "lineno" > 230< / span >   < span class = "comment" > // Specialized version for ComputeTau() in DualEdgeNorms. This reuses an< / span > < / div >
< div class = "line" > < a name = "l00231" > < / a > < span class = "lineno" > 231< / span >   < span class = "comment" > // intermediate result of the last LeftSolveForUnitRow() in order to save a< / span > < / div >
< div class = "line" > < a name = "l00232" > < / a > < span class = "lineno" > 232< / span >   < span class = "comment" > // permutation if it is available. Note that the input ' a' should always be< / span > < / div >
< div class = "line" > < a name = "l00233" > < / a > < span class = "lineno" > 233< / span >   < span class = "comment" > // equal to the last result of LeftSolveForUnitRow() and will be used for a< / span > < / div >
< div class = "line" > < a name = "l00234" > < / a > < span class = "lineno" > 234< / span >   < span class = "comment" > // DCHECK() or if the intermediate result wasn' t kept.< / span > < / div >
2020-10-09 12:00:09 +02:00
< div class = "line" > < a name = "l00235" > < / a > < span class = "lineno" > 235< / span >   < span class = "keyword" > const< / span > < a class = "code" href = "classoperations__research_1_1glop_1_1_strict_i_t_i_vector.html" > DenseColumn< / a > & < a class = "code" href = "classoperations__research_1_1glop_1_1_basis_factorization.html#a405547c96cca2eded0c29941a3ff7f22" > RightSolveForTau< / a > (< span class = "keyword" > const< / span > < a class = "code" href = "structoperations__research_1_1glop_1_1_scattered_column.html" > ScatteredColumn< / a > & < a class = "code" href = "constraint__solver_2table_8cc.html#af730895c6c6ef6e03caaf6251192dfd2" > a< / a > ) < span class = "keyword" > const< / span > ;< / div >
2020-09-01 16:00:33 +02:00
< 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 = "comment" > // Returns the norm of B^{-1}.a, this is a specific function because< / span > < / div >
< div class = "line" > < a name = "l00238" > < / a > < span class = "lineno" > 238< / span >   < span class = "comment" > // it is a bit faster and it avoids polluting the stats of RightSolve().< / span > < / div >
< div class = "line" > < a name = "l00239" > < / a > < span class = "lineno" > 239< / span >   < span class = "comment" > // It can be called only when IsRefactorized() is true.< / span > < / div >
2020-10-09 12:00:09 +02:00
< div class = "line" > < a name = "l00240" > < / a > < span class = "lineno" > 240< / span >   < a class = "code" href = "namespaceoperations__research_1_1glop.html#a733947145e3e1631165b618b05c9ccb7" > Fractional< / a > < a class = "code" href = "classoperations__research_1_1glop_1_1_basis_factorization.html#a4bf241af6b1844669171d6e170ef991d" > RightSolveSquaredNorm< / a > (< span class = "keyword" > const< / span > < a class = "code" href = "classoperations__research_1_1glop_1_1_column_view.html" > ColumnView< / a > & < a class = "code" href = "constraint__solver_2table_8cc.html#af730895c6c6ef6e03caaf6251192dfd2" > a< / a > ) < span class = "keyword" > const< / span > ;< / div >
2020-09-01 16:00:33 +02:00
< div class = "line" > < a name = "l00241" > < / a > < span class = "lineno" > 241< / span >   < / div >
< div class = "line" > < a name = "l00242" > < / a > < span class = "lineno" > 242< / span >   < span class = "comment" > // Returns the norm of (B^T)^{-1}.e_row where e is an unit vector.< / span > < / div >
< div class = "line" > < a name = "l00243" > < / a > < span class = "lineno" > 243< / span >   < span class = "comment" > // This is a bit faster and avoids polluting the stats of LeftSolve().< / span > < / div >
< div class = "line" > < a name = "l00244" > < / a > < span class = "lineno" > 244< / span >   < span class = "comment" > // It can be called only when IsRefactorized() is true.< / span > < / div >
2020-10-09 12:00:09 +02:00
< div class = "line" > < a name = "l00245" > < / a > < span class = "lineno" > 245< / span >   < a class = "code" href = "namespaceoperations__research_1_1glop.html#a733947145e3e1631165b618b05c9ccb7" > Fractional< / a > < a class = "code" href = "classoperations__research_1_1glop_1_1_basis_factorization.html#a9b738f6b485a4d4ef866b8d82ac07876" > DualEdgeSquaredNorm< / a > (RowIndex < a class = "code" href = "markowitz_8cc.html#aea35f36ba98d5bbd8d033382f50c9e52" > row< / a > ) < span class = "keyword" > const< / span > ;< / div >
2020-09-01 16:00:33 +02:00
< div class = "line" > < a name = "l00246" > < / a > < span class = "lineno" > 246< / span >   < / div >
< div class = "line" > < a name = "l00247" > < / a > < span class = "lineno" > 247< / span >   < span class = "comment" > // Computes the condition number of B.< / span > < / div >
< div class = "line" > < a name = "l00248" > < / a > < span class = "lineno" > 248< / span >   < span class = "comment" > // For a given norm, this is the matrix norm times the norm of its inverse.< / span > < / div >
< div class = "line" > < a name = "l00249" > < / a > < span class = "lineno" > 249< / span >   < span class = "comment" > // A condition number greater than 1E7 will lead to precision problems.< / span > < / div >
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< div class = "line" > < a name = "l00250" > < / a > < span class = "lineno" > 250< / span >   < a class = "code" href = "namespaceoperations__research_1_1glop.html#a733947145e3e1631165b618b05c9ccb7" > Fractional< / a > < a class = "code" href = "classoperations__research_1_1glop_1_1_basis_factorization.html#a6748ce52d80c6013d4edfc77d56b96f8" > ComputeOneNormConditionNumber< / a > () < span class = "keyword" > const< / span > ;< / div >
< div class = "line" > < a name = "l00251" > < / a > < span class = "lineno" > 251< / span >   < a class = "code" href = "namespaceoperations__research_1_1glop.html#a733947145e3e1631165b618b05c9ccb7" > Fractional< / a > < a class = "code" href = "classoperations__research_1_1glop_1_1_basis_factorization.html#abcfadeef96ab0ef83b82cf0046a45dd7" > ComputeInfinityNormConditionNumber< / a > () < span class = "keyword" > const< / span > ;< / div >
< div class = "line" > < a name = "l00252" > < / a > < span class = "lineno" > 252< / span >   < a class = "code" href = "namespaceoperations__research_1_1glop.html#a733947145e3e1631165b618b05c9ccb7" > Fractional< / a > < a class = "code" href = "classoperations__research_1_1glop_1_1_basis_factorization.html#a2ac7d8b80f20a8442138b0673aa0158c" > ComputeInfinityNormConditionNumberUpperBound< / a > () < span class = "keyword" > const< / span > ;< / div >
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< div class = "line" > < a name = "l00253" > < / a > < span class = "lineno" > 253< / span >   < / div >
< div class = "line" > < a name = "l00254" > < / a > < span class = "lineno" > 254< / span >   < span class = "comment" > // Computes the 1-norm of B.< / span > < / div >
< div class = "line" > < a name = "l00255" > < / a > < span class = "lineno" > 255< / span >   < span class = "comment" > // The 1-norm |A| is defined as max_j sum_i |a_ij|< / span > < / div >
< div class = "line" > < a name = "l00256" > < / a > < span class = "lineno" > 256< / span >   < span class = "comment" > // http://en.wikipedia.org/wiki/Matrix_norm< / span > < / div >
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< div class = "line" > < a name = "l00257" > < / a > < span class = "lineno" > 257< / span >   < a class = "code" href = "namespaceoperations__research_1_1glop.html#a733947145e3e1631165b618b05c9ccb7" > Fractional< / a > < a class = "code" href = "classoperations__research_1_1glop_1_1_basis_factorization.html#a64fea3282d498f3eb2d4af70692bb117" > ComputeOneNorm< / a > () < span class = "keyword" > const< / span > ;< / div >
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< div class = "line" > < a name = "l00258" > < / a > < span class = "lineno" > 258< / span >   < / div >
< div class = "line" > < a name = "l00259" > < / a > < span class = "lineno" > 259< / span >   < span class = "comment" > // Computes the infinity-norm of B.< / span > < / div >
< div class = "line" > < a name = "l00260" > < / a > < span class = "lineno" > 260< / span >   < span class = "comment" > // The infinity-norm |A| is defined as max_i sum_j |a_ij|< / span > < / div >
< div class = "line" > < a name = "l00261" > < / a > < span class = "lineno" > 261< / span >   < span class = "comment" > // http://en.wikipedia.org/wiki/Matrix_norm< / span > < / div >
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< div class = "line" > < a name = "l00262" > < / a > < span class = "lineno" > 262< / span >   < a class = "code" href = "namespaceoperations__research_1_1glop.html#a733947145e3e1631165b618b05c9ccb7" > Fractional< / a > < a class = "code" href = "classoperations__research_1_1glop_1_1_basis_factorization.html#a3f219a081f88c22ae282ada4f0bdddd3" > ComputeInfinityNorm< / a > () < span class = "keyword" > const< / span > ;< / div >
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< div class = "line" > < a name = "l00263" > < / a > < span class = "lineno" > 263< / span >   < / div >
< div class = "line" > < a name = "l00264" > < / a > < span class = "lineno" > 264< / span >   < span class = "comment" > // Computes the 1-norm of the inverse of B.< / span > < / div >
< div class = "line" > < a name = "l00265" > < / a > < span class = "lineno" > 265< / span >   < span class = "comment" > // For this we iteratively solve B.x = e_j, where e_j is the jth unit vector.< / span > < / div >
< div class = "line" > < a name = "l00266" > < / a > < span class = "lineno" > 266< / span >   < span class = "comment" > // The result of this computation is the jth column of B^-1.< / span > < / div >
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< div class = "line" > < a name = "l00267" > < / a > < span class = "lineno" > 267< / span >   < a class = "code" href = "namespaceoperations__research_1_1glop.html#a733947145e3e1631165b618b05c9ccb7" > Fractional< / a > < a class = "code" href = "classoperations__research_1_1glop_1_1_basis_factorization.html#a05d6979828b99ac719553f75335a1937" > ComputeInverseOneNorm< / a > () < span class = "keyword" > const< / span > ;< / div >
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< div class = "line" > < a name = "l00268" > < / a > < span class = "lineno" > 268< / span >   < / div >
< div class = "line" > < a name = "l00269" > < / a > < span class = "lineno" > 269< / span >   < span class = "comment" > // Computes the infinity-norm of the inverse of B.< / span > < / div >
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< div class = "line" > < a name = "l00270" > < / a > < span class = "lineno" > 270< / span >   < a class = "code" href = "namespaceoperations__research_1_1glop.html#a733947145e3e1631165b618b05c9ccb7" > Fractional< / a > < a class = "code" href = "classoperations__research_1_1glop_1_1_basis_factorization.html#a3a6bb95b9009b1c578a27e6139d52696" > ComputeInverseInfinityNorm< / a > () < span class = "keyword" > const< / span > ;< / div >
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< div class = "line" > < a name = "l00271" > < / a > < span class = "lineno" > 271< / span >   < / div >
< div class = "line" > < a name = "l00272" > < / a > < span class = "lineno" > 272< / span >   < span class = "comment" > // Stats related function.< / span > < / div >
< div class = "line" > < a name = "l00273" > < / a > < span class = "lineno" > 273< / span >   < span class = "comment" > // Note that ResetStats() could be const, but until needed it is not to< / span > < / div >
< div class = "line" > < a name = "l00274" > < / a > < span class = "lineno" > 274< / span >   < span class = "comment" > // prevent anyone holding a const BasisFactorization& to call it.< / span > < / div >
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< div class = "line" > < a name = "l00275" > < / a > < span class = "lineno" > < a class = "line" href = "classoperations__research_1_1glop_1_1_basis_factorization.html#af9bc435481ae9e6e60d66a65d5394a7f" > 275< / a > < / span >   std::string < a class = "code" href = "classoperations__research_1_1glop_1_1_basis_factorization.html#af9bc435481ae9e6e60d66a65d5394a7f" > StatString< / a > ()< span class = "keyword" > const < / span > {< / div >
< div class = "line" > < a name = "l00276" > < / a > < span class = "lineno" > 276< / span >   < span class = "keywordflow" > return< / span > stats_.StatString() + lu_factorization_.< a class = "code" href = "classoperations__research_1_1glop_1_1_lu_factorization.html#af9bc435481ae9e6e60d66a65d5394a7f" > StatString< / a > ();< / div >
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< div class = "line" > < a name = "l00277" > < / a > < span class = "lineno" > 277< / span >   }< / div >
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< div class = "line" > < a name = "l00278" > < / a > < span class = "lineno" > < a class = "line" href = "classoperations__research_1_1glop_1_1_basis_factorization.html#aecf3e3d1e43ed7f9b67b3a919d24f17f" > 278< / a > < / span >   < span class = "keywordtype" > void< / span > < a class = "code" href = "classoperations__research_1_1glop_1_1_basis_factorization.html#aecf3e3d1e43ed7f9b67b3a919d24f17f" > ResetStats< / a > () { stats_.Reset(); }< / div >
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< div class = "line" > < a name = "l00279" > < / a > < span class = "lineno" > 279< / span >   < / div >
< div class = "line" > < a name = "l00280" > < / a > < span class = "lineno" > 280< / span >   < span class = "comment" > // The deterministic time used by this class. It is incremented for each< / span > < / div >
< div class = "line" > < a name = "l00281" > < / a > < span class = "lineno" > 281< / span >   < span class = "comment" > // solve and each factorization.< / span > < / div >
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< div class = "line" > < a name = "l00282" > < / a > < span class = "lineno" > 282< / span >   < span class = "keywordtype" > double< / span > < a class = "code" href = "classoperations__research_1_1glop_1_1_basis_factorization.html#aeccc8138b268e621d96d105e0ddd474a" > DeterministicTime< / a > () < span class = "keyword" > const< / span > ;< / div >
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< div class = "line" > < a name = "l00283" > < / a > < span class = "lineno" > 283< / span >   < / div >
< div class = "line" > < a name = "l00284" > < / a > < span class = "lineno" > 284< / span >   < span class = "keyword" > private< / span > :< / div >
< div class = "line" > < a name = "l00285" > < / a > < span class = "lineno" > 285< / span >   < span class = "comment" > // Return true if the submatrix of matrix_ given by basis_ is exactly the< / span > < / div >
< div class = "line" > < a name = "l00286" > < / a > < span class = "lineno" > 286< / span >   < span class = "comment" > // identity (without permutation).< / span > < / div >
< div class = "line" > < a name = "l00287" > < / a > < span class = "lineno" > 287< / span >   < span class = "keywordtype" > bool< / span > IsIdentityBasis() < span class = "keyword" > const< / span > ;< / div >
< div class = "line" > < a name = "l00288" > < / a > < span class = "lineno" > 288< / span >   < / div >
< div class = "line" > < a name = "l00289" > < / a > < span class = "lineno" > 289< / span >   < span class = "comment" > // Updates the factorization using the middle product form update.< / span > < / div >
< div class = "line" > < a name = "l00290" > < / a > < span class = "lineno" > 290< / span >   < span class = "comment" > // Qi Huangfu, J. A. Julian Hall, " Novel update techniques for the revised< / span > < / div >
< div class = "line" > < a name = "l00291" > < / a > < span class = "lineno" > 291< / span >   < span class = "comment" > // simplex method" , 28 january 2013, Technical Report ERGO-13-0001< / span > < / div >
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< div class = "line" > < a name = "l00292" > < / a > < span class = "lineno" > 292< / span >   ABSL_MUST_USE_RESULT < a class = "code" href = "classoperations__research_1_1glop_1_1_status.html" > Status< / a > < / div >
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< div class = "line" > < a name = "l00293" > < / a > < span class = "lineno" > 293< / span >   MiddleProductFormUpdate(ColIndex entering_col, RowIndex leaving_variable_row);< / div >
< div class = "line" > < a name = "l00294" > < / a > < span class = "lineno" > 294< / span >   < / div >
< div class = "line" > < a name = "l00295" > < / a > < span class = "lineno" > 295< / span >   < span class = "comment" > // Increases the deterministic time for a solve operation with a vector having< / span > < / div >
< div class = "line" > < a name = "l00296" > < / a > < span class = "lineno" > 296< / span >   < span class = "comment" > // this number of non-zero entries (it can be an approximation).< / span > < / div >
< div class = "line" > < a name = "l00297" > < / a > < span class = "lineno" > 297< / span >   < span class = "keywordtype" > void< / span > BumpDeterministicTimeForSolve(< span class = "keywordtype" > int< / span > < a class = "code" href = "preprocessor_8cc.html#a2babe18010525bbf13c2fa5a959971e4" > num_entries< / a > ) < span class = "keyword" > const< / span > ;< / div >
< div class = "line" > < a name = "l00298" > < / a > < span class = "lineno" > 298< / span >   < / div >
< div class = "line" > < a name = "l00299" > < / a > < span class = "lineno" > 299< / span >   < span class = "comment" > // Stats about this class.< / span > < / div >
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< div class = "line" > < a name = "l00300" > < / a > < span class = "lineno" > 300< / span >   < span class = "keyword" > struct < / span > Stats : < span class = "keyword" > public< / span > < a class = "code" href = "classoperations__research_1_1_stats_group.html" > StatsGroup< / a > {< / div >
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< div class = "line" > < a name = "l00301" > < / a > < span class = "lineno" > 301< / span >   Stats()< / div >
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< div class = "line" > < a name = "l00302" > < / a > < span class = "lineno" > 302< / span >   : < a class = "code" href = "classoperations__research_1_1_stats_group.html" > StatsGroup< / a > (< span class = "stringliteral" > " BasisFactorization" < / span > ),< / div >
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< div class = "line" > < a name = "l00303" > < / a > < span class = "lineno" > 303< / span >   refactorization_interval(< span class = "stringliteral" > " refactorization_interval" < / span > , this) {}< / div >
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< div class = "line" > < a name = "l00304" > < / a > < span class = "lineno" > 304< / span >   < a class = "code" href = "classoperations__research_1_1_integer_distribution.html" > IntegerDistribution< / a > refactorization_interval;< / div >
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< div class = "line" > < a name = "l00305" > < / a > < span class = "lineno" > 305< / span >   };< / div >
< div class = "line" > < a name = "l00306" > < / a > < span class = "lineno" > 306< / span >   < / div >
< div class = "line" > < a name = "l00307" > < / a > < span class = "lineno" > 307< / span >   < span class = "comment" > // Mutable because we track the running time of const method like< / span > < / div >
< div class = "line" > < a name = "l00308" > < / a > < span class = "lineno" > 308< / span >   < span class = "comment" > // RightSolve() and LeftSolve().< / span > < / div >
< div class = "line" > < a name = "l00309" > < / a > < span class = "lineno" > 309< / span >   < span class = "keyword" > mutable< / span > Stats stats_;< / div >
< div class = "line" > < a name = "l00310" > < / a > < span class = "lineno" > 310< / span >   GlopParameters parameters_;< / div >
< div class = "line" > < a name = "l00311" > < / a > < span class = "lineno" > 311< / span >   < / div >
< div class = "line" > < a name = "l00312" > < / a > < span class = "lineno" > 312< / span >   < span class = "comment" > // References to the basis subpart of the linear program matrix.< / span > < / div >
< div class = "line" > < a name = "l00313" > < / a > < span class = "lineno" > 313< / span >   < span class = "keyword" > const< / span > CompactSparseMatrix& compact_matrix_;< / div >
< div class = "line" > < a name = "l00314" > < / a > < span class = "lineno" > 314< / span >   < span class = "keyword" > const< / span > < a class = "code" href = "namespaceoperations__research_1_1glop.html#ad73165f71f932e8ccc240d4db5097803" > RowToColMapping< / a > & basis_;< / 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" > // Middle form product update factorization and scratchpad_ used to construct< / span > < / div >
< div class = "line" > < a name = "l00317" > < / a > < span class = "lineno" > 317< / span >   < span class = "comment" > // new rank one matrices.< / span > < / div >
< div class = "line" > < a name = "l00318" > < / a > < span class = "lineno" > 318< / span >   RankOneUpdateFactorization rank_one_factorization_;< / div >
< div class = "line" > < a name = "l00319" > < / a > < span class = "lineno" > 319< / span >   < span class = "keyword" > mutable< / span > < a class = "code" href = "namespaceoperations__research_1_1glop.html#ae5fa9e57c2d31b294195ed8a9e17bfac" > DenseColumn< / a > scratchpad_;< / div >
< div class = "line" > < a name = "l00320" > < / a > < span class = "lineno" > 320< / span >   < span class = "keyword" > mutable< / span > std::vector< RowIndex> scratchpad_non_zeros_;< / 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 is used by RightSolveForTau(). It holds an intermediate result from< / span > < / div >
< div class = "line" > < a name = "l00323" > < / a > < span class = "lineno" > 323< / span >   < span class = "comment" > // the last LeftSolveForUnitRow() and also the final result of< / span > < / div >
< div class = "line" > < a name = "l00324" > < / a > < span class = "lineno" > 324< / span >   < span class = "comment" > // RightSolveForTau().< / span > < / div >
< div class = "line" > < a name = "l00325" > < / a > < span class = "lineno" > 325< / span >   < span class = "keyword" > mutable< / span > ScatteredColumn tau_;< / div >
< div class = "line" > < a name = "l00326" > < / a > < span class = "lineno" > 326< / span >   < / div >
< div class = "line" > < a name = "l00327" > < / a > < span class = "lineno" > 327< / span >   < span class = "comment" > // Booleans controlling the interaction between LeftSolveForUnitRow() that may< / span > < / div >
< div class = "line" > < a name = "l00328" > < / a > < span class = "lineno" > 328< / span >   < span class = "comment" > // or may not keep its intermediate results for the optimized< / span > < / div >
< div class = "line" > < a name = "l00329" > < / a > < span class = "lineno" > 329< / span >   < span class = "comment" > // RightSolveForTau().< / span > < / div >
< div class = "line" > < a name = "l00330" > < / a > < span class = "lineno" > 330< / span >   < span class = "comment" > //< / span > < / div >
< div class = "line" > < a name = "l00331" > < / a > < span class = "lineno" > 331< / span >   < span class = "comment" > // tau_computation_can_be_optimized_ will be true iff LeftSolveForUnitRow()< / span > < / div >
< div class = "line" > < a name = "l00332" > < / a > < span class = "lineno" > 332< / span >   < span class = "comment" > // kept its intermediate result when it was called and the factorization< / span > < / div >
< div class = "line" > < a name = "l00333" > < / a > < span class = "lineno" > 333< / span >   < span class = "comment" > // didn' t change since then. If it is true, then RightSolveForTau() can use< / span > < / div >
< div class = "line" > < a name = "l00334" > < / a > < span class = "lineno" > 334< / span >   < span class = "comment" > // this result for a faster computation.< / span > < / div >
< div class = "line" > < a name = "l00335" > < / a > < span class = "lineno" > 335< / span >   < span class = "comment" > //< / span > < / div >
< div class = "line" > < a name = "l00336" > < / a > < span class = "lineno" > 336< / span >   < span class = "comment" > // tau_is_computed_ is used as an heuristic by LeftSolveForUnitRow() to decide< / span > < / div >
< div class = "line" > < a name = "l00337" > < / a > < span class = "lineno" > 337< / span >   < span class = "comment" > // if it is worth keeping its intermediate result (which is sligthly slower).< / span > < / div >
< div class = "line" > < a name = "l00338" > < / a > < span class = "lineno" > 338< / span >   < span class = "comment" > // It is simply set to true by RightSolveForTau() and to false by< / span > < / div >
< div class = "line" > < a name = "l00339" > < / a > < span class = "lineno" > 339< / span >   < span class = "comment" > // LeftSolveForUnitRow(), this way the optimization will automatically switch< / span > < / div >
< div class = "line" > < a name = "l00340" > < / a > < span class = "lineno" > 340< / span >   < span class = "comment" > // itself on when switching from the primal simplex (where RightSolveForTau()< / span > < / div >
< div class = "line" > < a name = "l00341" > < / a > < span class = "lineno" > 341< / span >   < span class = "comment" > // is never called) to the dual where it is called after each< / span > < / div >
< div class = "line" > < a name = "l00342" > < / a > < span class = "lineno" > 342< / span >   < span class = "comment" > // LeftSolveForUnitRow(), and back off again in the other direction.< / span > < / div >
< div class = "line" > < a name = "l00343" > < / a > < span class = "lineno" > 343< / span >   < span class = "keyword" > mutable< / span > < span class = "keywordtype" > bool< / span > tau_computation_can_be_optimized_;< / div >
< div class = "line" > < a name = "l00344" > < / a > < span class = "lineno" > 344< / span >   < span class = "keyword" > mutable< / span > < span class = "keywordtype" > bool< / span > tau_is_computed_;< / div >
< div class = "line" > < a name = "l00345" > < / a > < span class = "lineno" > 345< / span >   < / div >
< div class = "line" > < a name = "l00346" > < / a > < span class = "lineno" > 346< / span >   < span class = "comment" > // Data structure to store partial solve results for the middle form product< / span > < / div >
< div class = "line" > < a name = "l00347" > < / a > < span class = "lineno" > 347< / span >   < span class = "comment" > // update. See LeftSolveForUnitRow() and RightSolveForProblemColumn(). We use< / span > < / div >
< div class = "line" > < a name = "l00348" > < / a > < span class = "lineno" > 348< / span >   < span class = "comment" > // two CompactSparseMatrix to have a better cache behavior when solving with< / span > < / div >
< div class = "line" > < a name = "l00349" > < / a > < span class = "lineno" > 349< / span >   < span class = "comment" > // the rank_one_factorization_.< / span > < / div >
< div class = "line" > < a name = "l00350" > < / a > < span class = "lineno" > 350< / span >   < span class = "keyword" > mutable< / span > CompactSparseMatrix storage_;< / div >
< div class = "line" > < a name = "l00351" > < / a > < span class = "lineno" > 351< / span >   < span class = "keyword" > mutable< / span > CompactSparseMatrix right_storage_;< / div >
< div class = "line" > < a name = "l00352" > < / a > < span class = "lineno" > 352< / span >   < span class = "keyword" > mutable< / span > < a class = "code" href = "namespaceoperations__research_1_1glop.html#afa7534bb8eff64b643c6079dc82e5e3c" > ColMapping< / a > left_pool_mapping_;< / div >
< div class = "line" > < a name = "l00353" > < / a > < span class = "lineno" > 353< / span >   < span class = "keyword" > mutable< / span > < a class = "code" href = "namespaceoperations__research_1_1glop.html#afa7534bb8eff64b643c6079dc82e5e3c" > ColMapping< / a > right_pool_mapping_;< / div >
< div class = "line" > < a name = "l00354" > < / a > < span class = "lineno" > 354< / span >   < / div >
< div class = "line" > < a name = "l00355" > < / a > < span class = "lineno" > 355< / span >   < span class = "keywordtype" > bool< / span > use_middle_product_form_update_;< / div >
< div class = "line" > < a name = "l00356" > < / a > < span class = "lineno" > 356< / span >   < span class = "keywordtype" > int< / span > max_num_updates_;< / div >
< div class = "line" > < a name = "l00357" > < / a > < span class = "lineno" > 357< / span >   < span class = "keywordtype" > int< / span > num_updates_;< / div >
< div class = "line" > < a name = "l00358" > < / a > < span class = "lineno" > 358< / span >   EtaFactorization eta_factorization_;< / div >
< div class = "line" > < a name = "l00359" > < / a > < span class = "lineno" > 359< / span >   LuFactorization lu_factorization_;< / div >
< div class = "line" > < a name = "l00360" > < / a > < span class = "lineno" > 360< / span >   < / div >
< div class = "line" > < a name = "l00361" > < / a > < span class = "lineno" > 361< / span >   < span class = "comment" > // mutable because the Solve() functions are const but need to update this.< / span > < / div >
< div class = "line" > < a name = "l00362" > < / a > < span class = "lineno" > 362< / span >   < span class = "keyword" > mutable< / span > < span class = "keywordtype" > double< / span > deterministic_time_;< / div >
< div class = "line" > < a name = "l00363" > < / a > < span class = "lineno" > 363< / span >   < / div >
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< div class = "line" > < a name = "l00364" > < / a > < span class = "lineno" > 364< / span >   DISALLOW_COPY_AND_ASSIGN(< a class = "code" href = "classoperations__research_1_1glop_1_1_basis_factorization.html#a278dfa01552170d8e781c1b7e613479e" > BasisFactorization< / a > );< / div >
2020-09-01 16:00:33 +02:00
< div class = "line" > < a name = "l00365" > < / a > < span class = "lineno" > 365< / span >   };< / div >
< div class = "line" > < a name = "l00366" > < / a > < span class = "lineno" > 366< / span >   < / div >
< div class = "line" > < a name = "l00367" > < / a > < span class = "lineno" > 367< / span >   } < span class = "comment" > // namespace glop< / span > < / div >
< div class = "line" > < a name = "l00368" > < / a > < span class = "lineno" > 368< / span >   } < span class = "comment" > // namespace operations_research< / span > < / div >
< div class = "line" > < a name = "l00369" > < / a > < span class = "lineno" > 369< / span >   < / div >
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< div class = "line" > < a name = "l00370" > < / a > < span class = "lineno" > 370< / span >   < span class = "preprocessor" > #endif < / span > < span class = "comment" > // OR_TOOLS_GLOP_BASIS_REPRESENTATION_H_< / span > < / div >
2020-09-01 16:00:33 +02:00
< div class = "ttc" id = "abase_2logging_8h_html" > < div class = "ttname" > < a href = "base_2logging_8h.html" > logging.h< / a > < / div > < / div >
2021-01-26 11:28:50 +01:00
< 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#l00884" > base/logging.h:884< / a > < / div > < / div >
< div class = "ttc" id = "aclassoperations__research_1_1_integer_distribution_html" > < div class = "ttname" > < a href = "classoperations__research_1_1_integer_distribution.html" > operations_research::IntegerDistribution< / a > < / div > < div class = "ttdef" > < b > Definition:< / b > < a href = "stats_8h_source.html#l00287" > stats.h:287< / a > < / div > < / div >
< div class = "ttc" id = "aclassoperations__research_1_1_stats_group_html" > < div class = "ttname" > < a href = "classoperations__research_1_1_stats_group.html" > operations_research::StatsGroup< / a > < / div > < div class = "ttdef" > < b > Definition:< / b > < a href = "stats_8h_source.html#l00131" > stats.h:131< / a > < / div > < / div >
< div class = "ttc" id = "aclassoperations__research_1_1glop_1_1_basis_factorization_html" > < div class = "ttname" > < a href = "classoperations__research_1_1glop_1_1_basis_factorization.html" > operations_research::glop::BasisFactorization< / a > < / div > < div class = "ttdef" > < b > Definition:< / b > < a href = "basis__representation_8h_source.html#l00151" > basis_representation.h:151< / a > < / div > < / div >
< div class = "ttc" id = "aclassoperations__research_1_1glop_1_1_basis_factorization_html_a05d6979828b99ac719553f75335a1937" > < div class = "ttname" > < a href = "classoperations__research_1_1glop_1_1_basis_factorization.html#a05d6979828b99ac719553f75335a1937" > operations_research::glop::BasisFactorization::ComputeInverseOneNorm< / a > < / div > < div class = "ttdeci" > Fractional ComputeInverseOneNorm() const< / div > < div class = "ttdef" > < b > Definition:< / b > < a href = "basis__representation_8cc_source.html#l00508" > basis_representation.cc:508< / a > < / div > < / div >
< div class = "ttc" id = "aclassoperations__research_1_1glop_1_1_basis_factorization_html_a278dfa01552170d8e781c1b7e613479e" > < div class = "ttname" > < a href = "classoperations__research_1_1glop_1_1_basis_factorization.html#a278dfa01552170d8e781c1b7e613479e" > operations_research::glop::BasisFactorization::BasisFactorization< / a > < / div > < div class = "ttdeci" > BasisFactorization(const CompactSparseMatrix *compact_matrix, const RowToColMapping *basis)< / div > < div class = "ttdef" > < b > Definition:< / b > < a href = "basis__representation_8cc_source.html#l00177" > basis_representation.cc:177< / a > < / div > < / div >
< div class = "ttc" id = "aclassoperations__research_1_1glop_1_1_basis_factorization_html_a2ac7d8b80f20a8442138b0673aa0158c" > < div class = "ttname" > < a href = "classoperations__research_1_1glop_1_1_basis_factorization.html#a2ac7d8b80f20a8442138b0673aa0158c" > operations_research::glop::BasisFactorization::ComputeInfinityNormConditionNumberUpperBound< / a > < / div > < div class = "ttdeci" > Fractional ComputeInfinityNormConditionNumberUpperBound() const< / div > < div class = "ttdef" > < b > Definition:< / b > < a href = "basis__representation_8cc_source.html#l00564" > basis_representation.cc:564< / a > < / div > < / div >
< div class = "ttc" id = "aclassoperations__research_1_1glop_1_1_basis_factorization_html_a39b7e347f32f4024a988cb93f5e81a2d" > < div class = "ttname" > < a href = "classoperations__research_1_1glop_1_1_basis_factorization.html#a39b7e347f32f4024a988cb93f5e81a2d" > operations_research::glop::BasisFactorization::Refactorize< / a > < / div > < div class = "ttdeci" > ABSL_MUST_USE_RESULT Status Refactorize()< / div > < div class = "ttdef" > < b > Definition:< / b > < a href = "basis__representation_8cc_source.html#l00216" > basis_representation.cc:216< / a > < / div > < / div >
< div class = "ttc" id = "aclassoperations__research_1_1glop_1_1_basis_factorization_html_a3a6bb95b9009b1c578a27e6139d52696" > < div class = "ttname" > < a href = "classoperations__research_1_1glop_1_1_basis_factorization.html#a3a6bb95b9009b1c578a27e6139d52696" > operations_research::glop::BasisFactorization::ComputeInverseInfinityNorm< / a > < / div > < div class = "ttdeci" > Fractional ComputeInverseInfinityNorm() const< / div > < div class = "ttdef" > < b > Definition:< / b > < a href = "basis__representation_8cc_source.html#l00530" > basis_representation.cc:530< / a > < / div > < / div >
2020-10-09 12:00:09 +02:00
< div class = "ttc" id = "aclassoperations__research_1_1glop_1_1_basis_factorization_html_a3f219a081f88c22ae282ada4f0bdddd3" > < div class = "ttname" > < a href = "classoperations__research_1_1glop_1_1_basis_factorization.html#a3f219a081f88c22ae282ada4f0bdddd3" > operations_research::glop::BasisFactorization::ComputeInfinityNorm< / a > < / div > < div class = "ttdeci" > Fractional ComputeInfinityNorm() const< / div > < div class = "ttdef" > < b > Definition:< / b > < a href = "basis__representation_8cc_source.html#l00499" > basis_representation.cc:499< / a > < / div > < / div >
< div class = "ttc" id = "aclassoperations__research_1_1glop_1_1_basis_factorization_html_a405547c96cca2eded0c29941a3ff7f22" > < div class = "ttname" > < a href = "classoperations__research_1_1glop_1_1_basis_factorization.html#a405547c96cca2eded0c29941a3ff7f22" > operations_research::glop::BasisFactorization::RightSolveForTau< / a > < / div > < div class = "ttdeci" > const DenseColumn & RightSolveForTau(const ScatteredColumn & a) const< / div > < div class = "ttdef" > < b > Definition:< / b > < a href = "basis__representation_8cc_source.html#l00338" > basis_representation.cc:338< / a > < / div > < / div >
< div class = "ttc" id = "aclassoperations__research_1_1glop_1_1_basis_factorization_html_a41b0509864e6eb62f0415975a914ba4b" > < div class = "ttname" > < a href = "classoperations__research_1_1glop_1_1_basis_factorization.html#a41b0509864e6eb62f0415975a914ba4b" > operations_research::glop::BasisFactorization::LeftSolveForUnitRow< / a > < / div > < div class = "ttdeci" > void LeftSolveForUnitRow(ColIndex j, ScatteredRow *y) const< / div > < div class = "ttdef" > < b > Definition:< / b > < a href = "basis__representation_8cc_source.html#l00364" > basis_representation.cc:364< / a > < / div > < / div >
< div class = "ttc" id = "aclassoperations__research_1_1glop_1_1_basis_factorization_html_a4bf241af6b1844669171d6e170ef991d" > < div class = "ttname" > < a href = "classoperations__research_1_1glop_1_1_basis_factorization.html#a4bf241af6b1844669171d6e170ef991d" > operations_research::glop::BasisFactorization::RightSolveSquaredNorm< / a > < / div > < div class = "ttdeci" > Fractional RightSolveSquaredNorm(const ColumnView & a) const< / div > < div class = "ttdef" > < b > Definition:< / b > < a href = "basis__representation_8cc_source.html#l00466" > basis_representation.cc:466< / a > < / div > < / div >
2021-01-26 11:28:50 +01:00
< div class = "ttc" id = "aclassoperations__research_1_1glop_1_1_basis_factorization_html_a56d08f5289eea3f018dca5b93b6fca6b" > < div class = "ttname" > < a href = "classoperations__research_1_1glop_1_1_basis_factorization.html#a56d08f5289eea3f018dca5b93b6fca6b" > operations_research::glop::BasisFactorization::GetColumnPermutation< / a > < / div > < div class = "ttdeci" > const ColumnPermutation & GetColumnPermutation() const< / div > < div class = "ttdef" > < b > Definition:< / b > < a href = "basis__representation_8h_source.html#l00168" > basis_representation.h:168< / a > < / div > < / div >
< div class = "ttc" id = "aclassoperations__research_1_1glop_1_1_basis_factorization_html_a64fea3282d498f3eb2d4af70692bb117" > < div class = "ttname" > < a href = "classoperations__research_1_1glop_1_1_basis_factorization.html#a64fea3282d498f3eb2d4af70692bb117" > operations_research::glop::BasisFactorization::ComputeOneNorm< / a > < / div > < div class = "ttdeci" > Fractional ComputeOneNorm() const< / div > < div class = "ttdef" > < b > Definition:< / b > < a href = "basis__representation_8cc_source.html#l00493" > basis_representation.cc:493< / a > < / div > < / div >
< div class = "ttc" id = "aclassoperations__research_1_1glop_1_1_basis_factorization_html_a6748ce52d80c6013d4edfc77d56b96f8" > < div class = "ttname" > < a href = "classoperations__research_1_1glop_1_1_basis_factorization.html#a6748ce52d80c6013d4edfc77d56b96f8" > operations_research::glop::BasisFactorization::ComputeOneNormConditionNumber< / a > < / div > < div class = "ttdeci" > Fractional ComputeOneNormConditionNumber() const< / div > < div class = "ttdef" > < b > Definition:< / b > < a href = "basis__representation_8cc_source.html#l00554" > basis_representation.cc:554< / a > < / div > < / div >
< div class = "ttc" id = "aclassoperations__research_1_1glop_1_1_basis_factorization_html_a697f638cbd5a2dab2977b24e550bd7f9" > < div class = "ttname" > < a href = "classoperations__research_1_1glop_1_1_basis_factorization.html#a697f638cbd5a2dab2977b24e550bd7f9" > operations_research::glop::BasisFactorization::Initialize< / a > < / div > < div class = "ttdeci" > ABSL_MUST_USE_RESULT Status Initialize()< / div > < div class = "ttdef" > < b > Definition:< / b > < a href = "basis__representation_8cc_source.html#l00206" > basis_representation.cc:206< / a > < / div > < / div >
< div class = "ttc" id = "aclassoperations__research_1_1glop_1_1_basis_factorization_html_a6e2a232672ee1580b9144f558662a77c" > < div class = "ttname" > < a href = "classoperations__research_1_1glop_1_1_basis_factorization.html#a6e2a232672ee1580b9144f558662a77c" > operations_research::glop::BasisFactorization::IsRefactorized< / a > < / div > < div class = "ttdeci" > bool IsRefactorized() const< / div > < div class = "ttdef" > < b > Definition:< / b > < a href = "basis__representation_8cc_source.html#l00214" > basis_representation.cc:214< / a > < / div > < / div >
< div class = "ttc" id = "aclassoperations__research_1_1glop_1_1_basis_factorization_html_a781d7728c278ae44bf265cf222479b98" > < div class = "ttname" > < a href = "classoperations__research_1_1glop_1_1_basis_factorization.html#a781d7728c278ae44bf265cf222479b98" > operations_research::glop::BasisFactorization::TemporaryLeftSolveForUnitRow< / a > < / div > < div class = "ttdeci" > void TemporaryLeftSolveForUnitRow(ColIndex j, ScatteredRow *y) const< / div > < div class = "ttdef" > < b > Definition:< / b > < a href = "basis__representation_8cc_source.html#l00415" > basis_representation.cc:415< / a > < / div > < / div >
< div class = "ttc" id = "aclassoperations__research_1_1glop_1_1_basis_factorization_html_a87e6110ce2612a27f85e9036afef1599" > < div class = "ttname" > < a href = "classoperations__research_1_1glop_1_1_basis_factorization.html#a87e6110ce2612a27f85e9036afef1599" > operations_research::glop::BasisFactorization::Update< / a > < / div > < div class = "ttdeci" > ABSL_MUST_USE_RESULT Status Update(ColIndex entering_col, RowIndex leaving_variable_row, const ScatteredColumn & direction)< / div > < div class = "ttdef" > < b > Definition:< / b > < a href = "basis__representation_8cc_source.html#l00284" > basis_representation.cc:284< / a > < / div > < / div >
< div class = "ttc" id = "aclassoperations__research_1_1glop_1_1_basis_factorization_html_a90c2785b56a02a7d2e87b72cef43db9e" > < div class = "ttname" > < a href = "classoperations__research_1_1glop_1_1_basis_factorization.html#a90c2785b56a02a7d2e87b72cef43db9e" > operations_research::glop::BasisFactorization::~BasisFactorization< / a > < / div > < div class = "ttdeci" > virtual ~BasisFactorization()< / div > < div class = "ttdef" > < b > Definition:< / b > < a href = "basis__representation_8cc_source.html#l00191" > basis_representation.cc:191< / a > < / div > < / div >
< div class = "ttc" id = "aclassoperations__research_1_1glop_1_1_basis_factorization_html_a9b738f6b485a4d4ef866b8d82ac07876" > < div class = "ttname" > < a href = "classoperations__research_1_1glop_1_1_basis_factorization.html#a9b738f6b485a4d4ef866b8d82ac07876" > operations_research::glop::BasisFactorization::DualEdgeSquaredNorm< / a > < / div > < div class = "ttdeci" > Fractional DualEdgeSquaredNorm(RowIndex row) const< / div > < div class = "ttdef" > < b > Definition:< / b > < a href = "basis__representation_8cc_source.html#l00474" > basis_representation.cc:474< / a > < / div > < / div >
< div class = "ttc" id = "aclassoperations__research_1_1glop_1_1_basis_factorization_html_aa71d36872f416feaa853788a7a7a7ef8" > < div class = "ttname" > < a href = "classoperations__research_1_1glop_1_1_basis_factorization.html#aa71d36872f416feaa853788a7a7a7ef8" > operations_research::glop::BasisFactorization::Clear< / a > < / div > < div class = "ttdeci" > void Clear()< / div > < div class = "ttdef" > < b > Definition:< / b > < a href = "basis__representation_8cc_source.html#l00193" > basis_representation.cc:193< / a > < / div > < / div >
2020-10-09 12:00:09 +02:00
< div class = "ttc" id = "aclassoperations__research_1_1glop_1_1_basis_factorization_html_aacdbeb58ac2d391f6586ad88db99ad61" > < div class = "ttname" > < a href = "classoperations__research_1_1glop_1_1_basis_factorization.html#aacdbeb58ac2d391f6586ad88db99ad61" > operations_research::glop::BasisFactorization::LeftSolve< / a > < / div > < div class = "ttdeci" > void LeftSolve(ScatteredRow *y) const< / div > < div class = "ttdef" > < b > Definition:< / b > < a href = "basis__representation_8cc_source.html#l00306" > basis_representation.cc:306< / a > < / div > < / div >
2021-01-26 11:28:50 +01:00
< div class = "ttc" id = "aclassoperations__research_1_1glop_1_1_basis_factorization_html_ab9de0c21968ffad6320a44a010e33e07" > < div class = "ttname" > < a href = "classoperations__research_1_1glop_1_1_basis_factorization.html#ab9de0c21968ffad6320a44a010e33e07" > operations_research::glop::BasisFactorization::RightSolveForProblemColumn< / a > < / div > < div class = "ttdeci" > void RightSolveForProblemColumn(ColIndex col, ScatteredColumn *d) const< / div > < div class = "ttdef" > < b > Definition:< / b > < a href = "basis__representation_8cc_source.html#l00428" > basis_representation.cc:428< / a > < / div > < / div >
< div class = "ttc" id = "aclassoperations__research_1_1glop_1_1_basis_factorization_html_abcfadeef96ab0ef83b82cf0046a45dd7" > < div class = "ttname" > < a href = "classoperations__research_1_1glop_1_1_basis_factorization.html#abcfadeef96ab0ef83b82cf0046a45dd7" > operations_research::glop::BasisFactorization::ComputeInfinityNormConditionNumber< / a > < / div > < div class = "ttdeci" > Fractional ComputeInfinityNormConditionNumber() const< / div > < div class = "ttdef" > < b > Definition:< / b > < a href = "basis__representation_8cc_source.html#l00559" > basis_representation.cc:559< / a > < / div > < / div >
2020-10-09 12:00:09 +02:00
< div class = "ttc" id = "aclassoperations__research_1_1glop_1_1_basis_factorization_html_ad91a397910de30b87b9fb45298fa5c58" > < div class = "ttname" > < a href = "classoperations__research_1_1glop_1_1_basis_factorization.html#ad91a397910de30b87b9fb45298fa5c58" > operations_research::glop::BasisFactorization::SetColumnPermutationToIdentity< / a > < / div > < div class = "ttdeci" > void SetColumnPermutationToIdentity()< / div > < div class = "ttdef" > < b > Definition:< / b > < a href = "basis__representation_8h_source.html#l00176" > basis_representation.h:176< / a > < / div > < / div >
2021-01-26 11:28:50 +01:00
< div class = "ttc" id = "aclassoperations__research_1_1glop_1_1_basis_factorization_html_ae1d8c3228cb8e036c1d8ab67336a7d2f" > < div class = "ttname" > < a href = "classoperations__research_1_1glop_1_1_basis_factorization.html#ae1d8c3228cb8e036c1d8ab67336a7d2f" > operations_research::glop::BasisFactorization::GetNumberOfRows< / a > < / div > < div class = "ttdeci" > RowIndex GetNumberOfRows() const< / div > < div class = "ttdef" > < b > Definition:< / b > < a href = "basis__representation_8h_source.html#l00192" > basis_representation.h:192< / a > < / div > < / div >
< div class = "ttc" id = "aclassoperations__research_1_1glop_1_1_basis_factorization_html_ae7202d055b6b172a8a1da4f5b136f9ea" > < div class = "ttname" > < a href = "classoperations__research_1_1glop_1_1_basis_factorization.html#ae7202d055b6b172a8a1da4f5b136f9ea" > operations_research::glop::BasisFactorization::SetParameters< / a > < / div > < div class = "ttdeci" > void SetParameters(const GlopParameters & parameters)< / div > < div class = "ttdef" > < b > Definition:< / b > < a href = "basis__representation_8h_source.html#l00158" > basis_representation.h:158< / a > < / div > < / div >
2020-10-09 12:00:09 +02:00
< div class = "ttc" id = "aclassoperations__research_1_1glop_1_1_basis_factorization_html_aeaeb43840844cc69a88dc924b282b4c7" > < div class = "ttname" > < a href = "classoperations__research_1_1glop_1_1_basis_factorization.html#aeaeb43840844cc69a88dc924b282b4c7" > operations_research::glop::BasisFactorization::RightSolve< / a > < / div > < div class = "ttdeci" > void RightSolve(ScatteredColumn *d) const< / div > < div class = "ttdef" > < b > Definition:< / b > < a href = "basis__representation_8cc_source.html#l00322" > basis_representation.cc:322< / a > < / div > < / div >
2021-01-26 11:28:50 +01:00
< div class = "ttc" id = "aclassoperations__research_1_1glop_1_1_basis_factorization_html_aeccc8138b268e621d96d105e0ddd474a" > < div class = "ttname" > < a href = "classoperations__research_1_1glop_1_1_basis_factorization.html#aeccc8138b268e621d96d105e0ddd474a" > operations_research::glop::BasisFactorization::DeterministicTime< / a > < / div > < div class = "ttdeci" > double DeterministicTime() const< / div > < div class = "ttdef" > < b > Definition:< / b > < a href = "basis__representation_8cc_source.html#l00572" > basis_representation.cc:572< / a > < / div > < / div >
2020-10-09 12:00:09 +02:00
< div class = "ttc" id = "aclassoperations__research_1_1glop_1_1_basis_factorization_html_aecf3e3d1e43ed7f9b67b3a919d24f17f" > < div class = "ttname" > < a href = "classoperations__research_1_1glop_1_1_basis_factorization.html#aecf3e3d1e43ed7f9b67b3a919d24f17f" > operations_research::glop::BasisFactorization::ResetStats< / a > < / div > < div class = "ttdeci" > void ResetStats()< / div > < div class = "ttdef" > < b > Definition:< / b > < a href = "basis__representation_8h_source.html#l00278" > basis_representation.h:278< / a > < / div > < / div >
2021-01-26 11:28:50 +01:00
< div class = "ttc" id = "aclassoperations__research_1_1glop_1_1_basis_factorization_html_aedf255db8741ebb2011757ff37dfc02e" > < div class = "ttname" > < a href = "classoperations__research_1_1glop_1_1_basis_factorization.html#aedf255db8741ebb2011757ff37dfc02e" > operations_research::glop::BasisFactorization::ForceRefactorization< / a > < / div > < div class = "ttdeci" > ABSL_MUST_USE_RESULT Status ForceRefactorization()< / div > < div class = "ttdef" > < b > Definition:< / b > < a href = "basis__representation_8cc_source.html#l00221" > basis_representation.cc:221< / a > < / div > < / div >
< div class = "ttc" id = "aclassoperations__research_1_1glop_1_1_basis_factorization_html_af9bc435481ae9e6e60d66a65d5394a7f" > < div class = "ttname" > < a href = "classoperations__research_1_1glop_1_1_basis_factorization.html#af9bc435481ae9e6e60d66a65d5394a7f" > operations_research::glop::BasisFactorization::StatString< / a > < / div > < div class = "ttdeci" > std::string StatString() const< / div > < div class = "ttdef" > < b > Definition:< / b > < a href = "basis__representation_8h_source.html#l00275" > basis_representation.h:275< / a > < / div > < / div >
< div class = "ttc" id = "aclassoperations__research_1_1glop_1_1_column_view_html" > < div class = "ttname" > < a href = "classoperations__research_1_1glop_1_1_column_view.html" > operations_research::glop::ColumnView< / a > < / div > < div class = "ttdef" > < b > Definition:< / b > < a href = "sparse__column_8h_source.html#l00065" > sparse_column.h:65< / a > < / div > < / div >
< div class = "ttc" id = "aclassoperations__research_1_1glop_1_1_compact_sparse_matrix_html" > < div class = "ttname" > < a href = "classoperations__research_1_1glop_1_1_compact_sparse_matrix.html" > operations_research::glop::CompactSparseMatrix< / a > < / div > < div class = "ttdef" > < b > Definition:< / b > < a href = "sparse_8h_source.html#l00288" > sparse.h:288< / a > < / div > < / div >
< div class = "ttc" id = "aclassoperations__research_1_1glop_1_1_compact_sparse_matrix_html_a960110e64357a3e69162ebf1f71959dd" > < div class = "ttname" > < a href = "classoperations__research_1_1glop_1_1_compact_sparse_matrix.html#a960110e64357a3e69162ebf1f71959dd" > operations_research::glop::CompactSparseMatrix::num_rows< / a > < / div > < div class = "ttdeci" > RowIndex num_rows() const< / div > < div class = "ttdef" > < b > Definition:< / b > < a href = "sparse_8h_source.html#l00344" > sparse.h:344< / a > < / div > < / div >
< div class = "ttc" id = "aclassoperations__research_1_1glop_1_1_eta_factorization_html" > < div class = "ttname" > < a href = "classoperations__research_1_1glop_1_1_eta_factorization.html" > operations_research::glop::EtaFactorization< / a > < / div > < div class = "ttdef" > < b > Definition:< / b > < a href = "basis__representation_8h_source.html#l00109" > basis_representation.h:109< / a > < / div > < / div >
< div class = "ttc" id = "aclassoperations__research_1_1glop_1_1_eta_factorization_html_a3cb026dc900190c13b208d24134755ed" > < div class = "ttname" > < a href = "classoperations__research_1_1glop_1_1_eta_factorization.html#a3cb026dc900190c13b208d24134755ed" > operations_research::glop::EtaFactorization::RightSolve< / a > < / div > < div class = "ttdeci" > void RightSolve(DenseColumn *d) const< / div > < div class = "ttdef" > < b > Definition:< / b > < a href = "basis__representation_8cc_source.html#l00166" > basis_representation.cc:166< / a > < / div > < / div >
2020-10-09 12:00:09 +02:00
< div class = "ttc" id = "aclassoperations__research_1_1glop_1_1_eta_factorization_html_a6b5f31c4068711b8e6823f4888f410ce" > < div class = "ttname" > < a href = "classoperations__research_1_1glop_1_1_eta_factorization.html#a6b5f31c4068711b8e6823f4888f410ce" > operations_research::glop::EtaFactorization::LeftSolve< / a > < / div > < div class = "ttdeci" > void LeftSolve(DenseRow *y) const< / div > < div class = "ttdef" > < b > Definition:< / b > < a href = "basis__representation_8cc_source.html#l00152" > basis_representation.cc:152< / a > < / div > < / div >
2021-01-26 11:28:50 +01:00
< div class = "ttc" id = "aclassoperations__research_1_1glop_1_1_eta_factorization_html_aa4714584196a160a394ec3345b30ec03" > < div class = "ttname" > < a href = "classoperations__research_1_1glop_1_1_eta_factorization.html#aa4714584196a160a394ec3345b30ec03" > operations_research::glop::EtaFactorization::~EtaFactorization< / a > < / div > < div class = "ttdeci" > virtual ~EtaFactorization()< / div > < div class = "ttdef" > < b > Definition:< / b > < a href = "basis__representation_8cc_source.html#l00139" > basis_representation.cc:139< / a > < / div > < / div >
< div class = "ttc" id = "aclassoperations__research_1_1glop_1_1_eta_factorization_html_aa71d36872f416feaa853788a7a7a7ef8" > < div class = "ttname" > < a href = "classoperations__research_1_1glop_1_1_eta_factorization.html#aa71d36872f416feaa853788a7a7a7ef8" > operations_research::glop::EtaFactorization::Clear< / a > < / div > < div class = "ttdeci" > void Clear()< / div > < div class = "ttdef" > < b > Definition:< / b > < a href = "basis__representation_8cc_source.html#l00141" > basis_representation.cc:141< / a > < / div > < / div >
< div class = "ttc" id = "aclassoperations__research_1_1glop_1_1_eta_factorization_html_acddc81707ff8e60f4ab42b3c21939be6" > < div class = "ttname" > < a href = "classoperations__research_1_1glop_1_1_eta_factorization.html#acddc81707ff8e60f4ab42b3c21939be6" > operations_research::glop::EtaFactorization::EtaFactorization< / a > < / div > < div class = "ttdeci" > EtaFactorization()< / div > < div class = "ttdef" > < b > Definition:< / b > < a href = "basis__representation_8cc_source.html#l00137" > basis_representation.cc:137< / a > < / div > < / div >
< div class = "ttc" id = "aclassoperations__research_1_1glop_1_1_eta_factorization_html_ad1e32061321d5cc422c6f18a8ed6d33d" > < div class = "ttname" > < a href = "classoperations__research_1_1glop_1_1_eta_factorization.html#ad1e32061321d5cc422c6f18a8ed6d33d" > operations_research::glop::EtaFactorization::SparseLeftSolve< / a > < / div > < div class = "ttdeci" > void SparseLeftSolve(DenseRow *y, ColIndexVector *pos) const< / div > < div class = "ttdef" > < b > Definition:< / b > < a href = "basis__representation_8cc_source.html#l00159" > basis_representation.cc:159< / a > < / div > < / div >
< div class = "ttc" id = "aclassoperations__research_1_1glop_1_1_eta_factorization_html_ae3aaa0f52a29f8a7b3f4550f97ca915d" > < div class = "ttname" > < a href = "classoperations__research_1_1glop_1_1_eta_factorization.html#ae3aaa0f52a29f8a7b3f4550f97ca915d" > operations_research::glop::EtaFactorization::Update< / a > < / div > < div class = "ttdeci" > void Update(ColIndex entering_col, RowIndex leaving_variable_row, const ScatteredColumn & direction)< / div > < div class = "ttdef" > < b > Definition:< / b > < a href = "basis__representation_8cc_source.html#l00143" > basis_representation.cc:143< / a > < / div > < / div >
< div class = "ttc" id = "aclassoperations__research_1_1glop_1_1_eta_matrix_html" > < div class = "ttname" > < a href = "classoperations__research_1_1glop_1_1_eta_matrix.html" > operations_research::glop::EtaMatrix< / a > < / div > < div class = "ttdef" > < b > Definition:< / b > < a href = "basis__representation_8h_source.html#l00052" > basis_representation.h:52< / a > < / div > < / div >
< div class = "ttc" id = "aclassoperations__research_1_1glop_1_1_eta_matrix_html_a3cb026dc900190c13b208d24134755ed" > < div class = "ttname" > < a href = "classoperations__research_1_1glop_1_1_eta_matrix.html#a3cb026dc900190c13b208d24134755ed" > operations_research::glop::EtaMatrix::RightSolve< / a > < / div > < div class = "ttdeci" > void RightSolve(DenseColumn *d) const< / div > < div class = "ttdef" > < b > Definition:< / b > < a href = "basis__representation_8cc_source.html#l00061" > basis_representation.cc:61< / a > < / div > < / div >
< div class = "ttc" id = "aclassoperations__research_1_1glop_1_1_eta_matrix_html_a4975f6e9d308a97737d76519e0b773d5" > < div class = "ttname" > < a href = "classoperations__research_1_1glop_1_1_eta_matrix.html#a4975f6e9d308a97737d76519e0b773d5" > operations_research::glop::EtaMatrix::~EtaMatrix< / a > < / div > < div class = "ttdeci" > virtual ~EtaMatrix()< / div > < div class = "ttdef" > < b > Definition:< / b > < a href = "basis__representation_8cc_source.html#l00049" > basis_representation.cc:49< / a > < / div > < / div >
< div class = "ttc" id = "aclassoperations__research_1_1glop_1_1_eta_matrix_html_a6b5f31c4068711b8e6823f4888f410ce" > < div class = "ttname" > < a href = "classoperations__research_1_1glop_1_1_eta_matrix.html#a6b5f31c4068711b8e6823f4888f410ce" > operations_research::glop::EtaMatrix::LeftSolve< / a > < / div > < div class = "ttdeci" > void LeftSolve(DenseRow *y) const< / div > < div class = "ttdef" > < b > Definition:< / b > < a href = "basis__representation_8cc_source.html#l00051" > basis_representation.cc:51< / a > < / div > < / div >
< div class = "ttc" id = "aclassoperations__research_1_1glop_1_1_eta_matrix_html_a7b76b8753b814ba45ef9be10454230d9" > < div class = "ttname" > < a href = "classoperations__research_1_1glop_1_1_eta_matrix.html#a7b76b8753b814ba45ef9be10454230d9" > operations_research::glop::EtaMatrix::EtaMatrix< / a > < / div > < div class = "ttdeci" > EtaMatrix(ColIndex eta_col, const ScatteredColumn & direction)< / div > < div class = "ttdef" > < b > Definition:< / b > < a href = "basis__representation_8cc_source.html#l00029" > basis_representation.cc:29< / a > < / div > < / div >
< div class = "ttc" id = "aclassoperations__research_1_1glop_1_1_eta_matrix_html_ad1e32061321d5cc422c6f18a8ed6d33d" > < div class = "ttname" > < a href = "classoperations__research_1_1glop_1_1_eta_matrix.html#ad1e32061321d5cc422c6f18a8ed6d33d" > operations_research::glop::EtaMatrix::SparseLeftSolve< / a > < / div > < div class = "ttdeci" > void SparseLeftSolve(DenseRow *y, ColIndexVector *pos) const< / div > < div class = "ttdef" > < b > Definition:< / b > < a href = "basis__representation_8cc_source.html#l00075" > basis_representation.cc:75< / a > < / div > < / div >
< div class = "ttc" id = "aclassoperations__research_1_1glop_1_1_lu_factorization_html_a56d08f5289eea3f018dca5b93b6fca6b" > < div class = "ttname" > < a href = "classoperations__research_1_1glop_1_1_lu_factorization.html#a56d08f5289eea3f018dca5b93b6fca6b" > operations_research::glop::LuFactorization::GetColumnPermutation< / a > < / div > < div class = "ttdeci" > const ColumnPermutation & GetColumnPermutation() const< / div > < div class = "ttdef" > < b > Definition:< / b > < a href = "lu__factorization_8h_source.html#l00059" > lu_factorization.h:59< / a > < / div > < / div >
< div class = "ttc" id = "aclassoperations__research_1_1glop_1_1_lu_factorization_html_ad91a397910de30b87b9fb45298fa5c58" > < div class = "ttname" > < a href = "classoperations__research_1_1glop_1_1_lu_factorization.html#ad91a397910de30b87b9fb45298fa5c58" > operations_research::glop::LuFactorization::SetColumnPermutationToIdentity< / a > < / div > < div class = "ttdeci" > void SetColumnPermutationToIdentity()< / div > < div class = "ttdef" > < b > Definition:< / b > < a href = "lu__factorization_8h_source.html#l00065" > lu_factorization.h:65< / a > < / div > < / div >
< div class = "ttc" id = "aclassoperations__research_1_1glop_1_1_lu_factorization_html_ae7202d055b6b172a8a1da4f5b136f9ea" > < div class = "ttname" > < a href = "classoperations__research_1_1glop_1_1_lu_factorization.html#ae7202d055b6b172a8a1da4f5b136f9ea" > operations_research::glop::LuFactorization::SetParameters< / a > < / div > < div class = "ttdeci" > void SetParameters(const GlopParameters & parameters)< / div > < div class = "ttdef" > < b > Definition:< / b > < a href = "lu__factorization_8h_source.html#l00189" > lu_factorization.h:189< / a > < / div > < / div >
< div class = "ttc" id = "aclassoperations__research_1_1glop_1_1_lu_factorization_html_af9bc435481ae9e6e60d66a65d5394a7f" > < div class = "ttname" > < a href = "classoperations__research_1_1glop_1_1_lu_factorization.html#af9bc435481ae9e6e60d66a65d5394a7f" > operations_research::glop::LuFactorization::StatString< / a > < / div > < div class = "ttdeci" > std::string StatString() const< / div > < div class = "ttdef" > < b > Definition:< / b > < a href = "lu__factorization_8h_source.html#l00195" > lu_factorization.h:195< / 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< ColIndex > < / a > < / div > < / div >
2021-01-26 11:28:50 +01:00
< 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 >
< 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_strict_i_t_i_vector_html" > < div class = "ttname" > < a href = "classoperations__research_1_1glop_1_1_strict_i_t_i_vector.html" > operations_research::glop::StrictITIVector< ColIndex, Fractional > < / a > < / div > < / div >
< div class = "ttc" id = "aconstraint__solver_2table_8cc_html_af730895c6c6ef6e03caaf6251192dfd2" > < div class = "ttname" > < a href = "constraint__solver_2table_8cc.html#af730895c6c6ef6e03caaf6251192dfd2" > a< / a > < / div > < div class = "ttdeci" > int64 a< / div > < div class = "ttdef" > < b > Definition:< / b > < a href = "constraint__solver_2table_8cc_source.html#l00042" > constraint_solver/table.cc:42< / a > < / div > < / div >
< div class = "ttc" id = "acp__model__fz__solver_8cc_html_a10a1eab179b472c030bdc2a2efef7219" > < div class = "ttname" > < a href = "cp__model__fz__solver_8cc.html#a10a1eab179b472c030bdc2a2efef7219" > parameters< / a > < / div > < div class = "ttdeci" > SatParameters parameters< / div > < div class = "ttdef" > < b > Definition:< / b > < a href = "cp__model__fz__solver_8cc_source.html#l00108" > cp_model_fz_solver.cc:108< / a > < / div > < / div >
< div class = "ttc" id = "alp__data_2permutation_8h_html" > < div class = "ttname" > < a href = "lp__data_2permutation_8h.html" > permutation.h< / a > < / div > < / div >
< div class = "ttc" id = "alp__types_8h_html" > < div class = "ttname" > < a href = "lp__types_8h.html" > lp_types.h< / a > < / div > < / div >
2020-09-01 16:00:33 +02:00
< div class = "ttc" id = "alu__factorization_8h_html" > < div class = "ttname" > < a href = "lu__factorization_8h.html" > lu_factorization.h< / 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#l00176" > markowitz.cc:176< / 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#l00175" > markowitz.cc:175< / a > < / div > < / div >
2021-01-26 11:28:50 +01:00
< div class = "ttc" id = "anamespaceoperations__research_1_1glop_html_a2b83a25cb4fd203c57a7155699fab246" > < div class = "ttname" > < a href = "namespaceoperations__research_1_1glop.html#a2b83a25cb4fd203c57a7155699fab246" > operations_research::glop::ColIndexVector< / a > < / div > < div class = "ttdeci" > std::vector< ColIndex > ColIndexVector< / div > < div class = "ttdef" > < b > Definition:< / b > < a href = "lp__types_8h_source.html#l00308" > lp_types.h:308< / a > < / div > < / div >
< 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#l00077" > lp_types.h:77< / a > < / div > < / div >
< div class = "ttc" id = "anamespaceoperations__research_1_1glop_html_ad73165f71f932e8ccc240d4db5097803" > < div class = "ttname" > < a href = "namespaceoperations__research_1_1glop.html#ad73165f71f932e8ccc240d4db5097803" > operations_research::glop::RowToColMapping< / a > < / div > < div class = "ttdeci" > StrictITIVector< RowIndex, ColIndex > RowToColMapping< / div > < div class = "ttdef" > < b > Definition:< / b > < a href = "lp__types_8h_source.html#l00342" > lp_types.h:342< / a > < / div > < / div >
2020-09-01 16:00:33 +02:00
< div class = "ttc" id = "anamespaceoperations__research_1_1glop_html_ae5fa9e57c2d31b294195ed8a9e17bfac" > < div class = "ttname" > < a href = "namespaceoperations__research_1_1glop.html#ae5fa9e57c2d31b294195ed8a9e17bfac" > operations_research::glop::DenseColumn< / a > < / div > < div class = "ttdeci" > StrictITIVector< RowIndex, Fractional > DenseColumn< / div > < div class = "ttdef" > < b > Definition:< / b > < a href = "lp__types_8h_source.html#l00328" > lp_types.h:328< / a > < / div > < / div >
2021-01-26 11:28:50 +01:00
< div class = "ttc" id = "anamespaceoperations__research_1_1glop_html_afa7534bb8eff64b643c6079dc82e5e3c" > < div class = "ttname" > < a href = "namespaceoperations__research_1_1glop.html#afa7534bb8eff64b643c6079dc82e5e3c" > operations_research::glop::ColMapping< / a > < / div > < div class = "ttdeci" > StrictITIVector< ColIndex, ColIndex > ColMapping< / div > < div class = "ttdef" > < b > Definition:< / b > < a href = "lp__types_8h_source.html#l00305" > lp_types.h:305< / a > < / div > < / div >
< div class = "ttc" id = "anamespaceoperations__research_html" > < div class = "ttname" > < a href = "namespaceoperations__research.html" > operations_research< / a > < / div > < div class = "ttdoc" > The vehicle routing library lets one model and solve generic vehicle routing problems ranging from th...< / 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 >
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