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< a href = "entering__variable_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 = "l00010" > < / a > < span class = "lineno" > 10< / span >   < span class = "comment" > // WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.< / 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_ENTERING_VARIABLE_H_< / span > < / div >
< div class = "line" > < a name = "l00015" > < / a > < span class = "lineno" > 15< / span >   < span class = "preprocessor" > #define OR_TOOLS_GLOP_ENTERING_VARIABLE_H_< / span > < / div >
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< div class = "line" > < a name = "l00017" > < / a > < span class = "lineno" > 17< / span >   < span class = "preprocessor" > #include " < a class = "code" href = "basis__representation_8h.html" > ortools/glop/basis_representation.h< / a > " < / span > < / div >
< div class = "line" > < a name = "l00018" > < / a > < span class = "lineno" > 18< / 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 = "l00019" > < / a > < span class = "lineno" > 19< / span >   < span class = "preprocessor" > #include " < a class = "code" href = "primal__edge__norms_8h.html" > ortools/glop/primal_edge_norms.h< / a > " < / span > < / div >
< div class = "line" > < a name = "l00020" > < / a > < span class = "lineno" > 20< / span >   < span class = "preprocessor" > #include " < a class = "code" href = "reduced__costs_8h.html" > ortools/glop/reduced_costs.h< / a > " < / span > < / div >
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< div class = "line" > < a name = "l00023" > < / a > < span class = "lineno" > 23< / span >   < span class = "preprocessor" > #include " < a class = "code" href = "variables__info_8h.html" > ortools/glop/variables_info.h< / a > " < / span > < / div >
< div class = "line" > < a name = "l00024" > < / a > < span class = "lineno" > 24< / span >   < span class = "preprocessor" > #include " < a class = "code" href = "lp__data_8h.html" > ortools/lp_data/lp_data.h< / a > " < / span > < / div >
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< div class = "line" > < a name = "l00029" > < / a > < span class = "lineno" > 29< / span >   < / div >
< div class = "line" > < a name = "l00030" > < / a > < span class = "lineno" > 30< / span >   < span class = "preprocessor" > #if !SWIG< / span > < / div >
< div class = "line" > < a name = "l00031" > < / a > < span class = "lineno" > 31< / span >   < / div >
< div class = "line" > < a name = "l00032" > < / a > < span class = "lineno" > 32< / span >   < span class = "keyword" > namespace < / span > < a class = "code" href = "namespaceoperations__research.html" > operations_research< / a > {< / div >
< div class = "line" > < a name = "l00033" > < / a > < span class = "lineno" > 33< / span >   < span class = "keyword" > namespace < / span > glop {< / div >
< div class = "line" > < a name = "l00034" > < / a > < span class = "lineno" > 34< / span >   < / div >
< div class = "line" > < a name = "l00035" > < / a > < span class = "lineno" > 35< / span >   < span class = "comment" > // This class contains the primal and dual algorithms that choose the entering< / span > < / div >
< div class = "line" > < a name = "l00036" > < / a > < span class = "lineno" > 36< / span >   < span class = "comment" > // column (i.e. variable) during a simplex iteration.< / 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" > // The goal of this component is, given a matrix A (matrix_), a subset of< / span > < / div >
< div class = "line" > < a name = "l00039" > < / a > < span class = "lineno" > 39< / span >   < span class = "comment" > // columns (basis_) that form a basis B and a cost (objective_) associated to< / span > < / div >
< div class = "line" > < a name = "l00040" > < / a > < span class = "lineno" > 40< / span >   < span class = "comment" > // each column of A, to choose a " good" non-basic column to enter the basis< / span > < / div >
< div class = "line" > < a name = "l00041" > < / a > < span class = "lineno" > 41< / span >   < span class = "comment" > // B. Note that this choice does not depend on the current variable values< / span > < / div >
< div class = "line" > < a name = "l00042" > < / a > < span class = "lineno" > 42< / span >   < span class = "comment" > // (except for the direction in which each variable is allowed to change given< / span > < / div >
< div class = "line" > < a name = "l00043" > < / a > < span class = "lineno" > 43< / span >   < span class = "comment" > // by variable_status_).< / span > < / div >
< div class = "line" > < a name = "l00044" > < / a > < span class = "lineno" > 44< / span >   < span class = "comment" > //< / span > < / div >
< div class = "line" > < a name = "l00045" > < / a > < span class = "lineno" > 45< / span >   < span class = "comment" > // Terminology:< / span > < / div >
< div class = "line" > < a name = "l00046" > < / a > < span class = "lineno" > 46< / span >   < span class = "comment" > // - The entering edge is the edge we are following during a simplex step,< / span > < / div >
< div class = "line" > < a name = "l00047" > < / a > < span class = "lineno" > 47< / span >   < span class = "comment" > // and we call " direction" the reverse of this edge restricted to the< / span > < / div >
< div class = "line" > < a name = "l00048" > < / a > < span class = "lineno" > 48< / span >   < span class = "comment" > // basic variables, i.e. the right inverse of the entering column.< / span > < / div >
< div class = "line" > < a name = "l00049" > < / a > < span class = "lineno" > 49< / span >   < span class = "comment" > //< / span > < / div >
< div class = "line" > < a name = "l00050" > < / a > < span class = "lineno" > 50< / span >   < span class = "comment" > // Papers:< / span > < / div >
< div class = "line" > < a name = "l00051" > < / a > < span class = "lineno" > 51< / span >   < span class = "comment" > // - Ping-Qi Pan, " Efficient nested pricing in the simplex algorithm" ,< / span > < / div >
< div class = "line" > < a name = "l00052" > < / a > < span class = "lineno" > 52< / span >   < span class = "comment" > // http://www.optimization-online.org/DB_FILE/2007/10/1810.pdf< / span > < / div >
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< div class = "line" > < a name = "l00053" > < / a > < span class = "lineno" > < a class = "line" href = "classoperations__research_1_1glop_1_1_entering_variable.html" > 53< / a > < / span >   < span class = "keyword" > class < / span > < a class = "code" href = "classoperations__research_1_1glop_1_1_entering_variable.html" > EnteringVariable< / a > {< / div >
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< div class = "line" > < a name = "l00054" > < / a > < span class = "lineno" > 54< / span >   < span class = "keyword" > public< / span > :< / div >
< div class = "line" > < a name = "l00055" > < / a > < span class = "lineno" > 55< / span >   < span class = "comment" > // Takes references to the linear program data we need.< / span > < / div >
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< div class = "line" > < a name = "l00056" > < / a > < span class = "lineno" > 56< / span >   < a class = "code" href = "classoperations__research_1_1glop_1_1_entering_variable.html#a89f8a547d5b7781ed931411543cc3178" > EnteringVariable< / a > (< span class = "keyword" > const< / span > < a class = "code" href = "classoperations__research_1_1glop_1_1_variables_info.html" > VariablesInfo< / a > & variables_info, < a class = "code" href = "namespaceoperations__research.html#a6743e8c90bbb85a1017486ed70c7d29b" > random_engine_t< / a > * random,< / div >
< div class = "line" > < a name = "l00057" > < / a > < span class = "lineno" > 57< / span >   < a class = "code" href = "classoperations__research_1_1glop_1_1_reduced_costs.html" > ReducedCosts< / a > * reduced_costs,< / div >
< div class = "line" > < a name = "l00058" > < / a > < span class = "lineno" > 58< / span >   < a class = "code" href = "classoperations__research_1_1glop_1_1_primal_edge_norms.html" > PrimalEdgeNorms< / a > * primal_edge_norms);< / div >
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< div class = "line" > < a name = "l00059" > < / a > < span class = "lineno" > 59< / span >   < / div >
< div class = "line" > < a name = "l00060" > < / a > < span class = "lineno" > 60< / span >   < span class = "comment" > // Returns the index of a valid primal entering column (see< / span > < / div >
< div class = "line" > < a name = "l00061" > < / a > < span class = "lineno" > 61< / span >   < span class = "comment" > // IsValidPrimalEnteringCandidate() for more details) or kInvalidCol if no< / span > < / div >
< div class = "line" > < a name = "l00062" > < / a > < span class = "lineno" > 62< / span >   < span class = "comment" > // such column exists. This latter case means that the primal algorithm has< / span > < / div >
< div class = "line" > < a name = "l00063" > < / a > < span class = "lineno" > 63< / span >   < span class = "comment" > // terminated: the optimal has been reached.< / span > < / div >
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< div class = "line" > < a name = "l00064" > < / a > < span class = "lineno" > 64< / span >   ABSL_MUST_USE_RESULT < a class = "code" href = "classoperations__research_1_1glop_1_1_status.html" > Status< / a > < / div >
< div class = "line" > < a name = "l00065" > < / a > < span class = "lineno" > 65< / span >   < a class = "code" href = "classoperations__research_1_1glop_1_1_entering_variable.html#a47f0e702c155e2cf5c48d8a9a7d0b434" > PrimalChooseEnteringColumn< / a > (ColIndex* entering_col);< / div >
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< div class = "line" > < a name = "l00066" > < / a > < span class = "lineno" > 66< / span >   < / div >
< div class = "line" > < a name = "l00067" > < / a > < span class = "lineno" > 67< / span >   < span class = "comment" > // Dual optimization phase (i.e. phase II) ratio test.< / span > < / div >
< div class = "line" > < a name = "l00068" > < / a > < span class = "lineno" > 68< / span >   < span class = "comment" > // Returns the index of the entering column given that we want to move along< / span > < / div >
< div class = "line" > < a name = "l00069" > < / a > < span class = "lineno" > 69< / span >   < span class = "comment" > // the " update" row vector in the direction given by the sign of< / span > < / div >
< div class = "line" > < a name = "l00070" > < / a > < span class = "lineno" > 70< / span >   < span class = "comment" > // cost_variation. Computes the smallest step that keeps the dual feasibility< / span > < / div >
< div class = "line" > < a name = "l00071" > < / a > < span class = "lineno" > 71< / span >   < span class = "comment" > // for all the columns.< / span > < / div >
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< div class = "line" > < a name = "l00072" > < / a > < span class = "lineno" > 72< / 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_entering_variable.html#a5f7903563e698189cc516ed6a5496a9a" > DualChooseEnteringColumn< / a > (< / div >
< div class = "line" > < a name = "l00073" > < / a > < span class = "lineno" > 73< / span >   < span class = "keyword" > const< / span > < a class = "code" href = "classoperations__research_1_1glop_1_1_update_row.html" > UpdateRow< / a > & update_row, < a class = "code" href = "namespaceoperations__research_1_1glop.html#a733947145e3e1631165b618b05c9ccb7" > Fractional< / a > cost_variation,< / div >
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< div class = "line" > < a name = "l00074" > < / a > < span class = "lineno" > 74< / span >   std::vector< ColIndex> * bound_flip_candidates, ColIndex* entering_col,< / div >
< div class = "line" > < a name = "l00075" > < / a > < span class = "lineno" > 75< / span >   < a class = "code" href = "namespaceoperations__research_1_1glop.html#a733947145e3e1631165b618b05c9ccb7" > Fractional< / a > * step);< / div >
< div class = "line" > < a name = "l00076" > < / a > < span class = "lineno" > 76< / span >   < / div >
< div class = "line" > < a name = "l00077" > < / a > < span class = "lineno" > 77< / span >   < span class = "comment" > // Dual feasibility phase (i.e. phase I) ratio test.< / span > < / div >
< div class = "line" > < a name = "l00078" > < / a > < span class = "lineno" > 78< / span >   < span class = "comment" > // Similar to the optimization phase test, but allows a step that increases< / span > < / div >
< div class = "line" > < a name = "l00079" > < / a > < span class = "lineno" > 79< / span >   < span class = "comment" > // the infeasibility of an already infeasible column. The step magnitude is< / span > < / div >
< div class = "line" > < a name = "l00080" > < / a > < span class = "lineno" > 80< / span >   < span class = "comment" > // the one that minimize the sum of infeasibilities when applied.< / span > < / div >
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< div class = "line" > < a name = "l00081" > < / a > < span class = "lineno" > 81< / 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_entering_variable.html#ab86e98881b35d34abe244a4dd776c7f6" > DualPhaseIChooseEnteringColumn< / a > (< / div >
< div class = "line" > < a name = "l00082" > < / a > < span class = "lineno" > 82< / span >   < span class = "keyword" > const< / span > < a class = "code" href = "classoperations__research_1_1glop_1_1_update_row.html" > UpdateRow< / a > & update_row, < a class = "code" href = "namespaceoperations__research_1_1glop.html#a733947145e3e1631165b618b05c9ccb7" > Fractional< / a > cost_variation,< / div >
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< div class = "line" > < a name = "l00083" > < / a > < span class = "lineno" > 83< / span >   ColIndex* entering_col, < a class = "code" href = "namespaceoperations__research_1_1glop.html#a733947145e3e1631165b618b05c9ccb7" > Fractional< / a > * step);< / div >
< div class = "line" > < a name = "l00084" > < / a > < span class = "lineno" > 84< / span >   < / div >
< div class = "line" > < a name = "l00085" > < / a > < span class = "lineno" > 85< / span >   < span class = "comment" > // Sets the pricing parameters. This does not change the pricing rule.< / span > < / div >
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< div class = "line" > < a name = "l00086" > < / a > < span class = "lineno" > 86< / span >   < span class = "keywordtype" > void< / span > < a class = "code" href = "classoperations__research_1_1glop_1_1_entering_variable.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 = "l00087" > < / a > < span class = "lineno" > 87< / span >   < / div >
< div class = "line" > < a name = "l00088" > < / a > < span class = "lineno" > 88< / span >   < span class = "comment" > // Sets the pricing rule.< / span > < / div >
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< div class = "line" > < a name = "l00089" > < / a > < span class = "lineno" > 89< / span >   < span class = "keywordtype" > void< / span > < a class = "code" href = "classoperations__research_1_1glop_1_1_entering_variable.html#ad3a8fd026015306e23a8ed6889b48f18" > SetPricingRule< / a > (GlopParameters::PricingRule rule);< / div >
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< div class = "line" > < a name = "l00090" > < / a > < span class = "lineno" > 90< / span >   < / div >
< div class = "line" > < a name = "l00091" > < / a > < span class = "lineno" > 91< / span >   < span class = "comment" > // Stats related functions.< / span > < / div >
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< div class = "line" > < a name = "l00092" > < / a > < span class = "lineno" > < a class = "line" href = "classoperations__research_1_1glop_1_1_entering_variable.html#af9bc435481ae9e6e60d66a65d5394a7f" > 92< / a > < / span >   std::string < a class = "code" href = "classoperations__research_1_1glop_1_1_entering_variable.html#af9bc435481ae9e6e60d66a65d5394a7f" > StatString< / a > ()< span class = "keyword" > const < / span > { < span class = "keywordflow" > return< / span > stats_.StatString(); }< / div >
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< div class = "line" > < a name = "l00093" > < / a > < span class = "lineno" > 93< / span >   < / div >
< div class = "line" > < a name = "l00094" > < / a > < span class = "lineno" > 94< / span >   < span class = "comment" > // Recomputes the set of unused columns used during nested pricing.< / span > < / div >
< div class = "line" > < a name = "l00095" > < / a > < span class = "lineno" > 95< / span >   < span class = "comment" > // Visible for testing (the returns value is also there for testing).< / span > < / div >
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< div class = "line" > < a name = "l00096" > < / a > < span class = "lineno" > 96< / span >   < a class = "code" href = "classoperations__research_1_1_bitset64.html" > DenseBitRow< / a > * < a class = "code" href = "classoperations__research_1_1glop_1_1_entering_variable.html#a2a939bd2d3e5cb2dfdf1e03e75b4a548" > ResetUnusedColumns< / a > ();< / div >
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< div class = "line" > < a name = "l00097" > < / a > < span class = "lineno" > 97< / span >   < / div >
< div class = "line" > < a name = "l00098" > < / a > < span class = "lineno" > 98< / span >   < span class = "keyword" > private< / span > :< / div >
< div class = "line" > < a name = "l00099" > < / a > < span class = "lineno" > 99< / span >   < span class = "comment" > // Dantzig selection rule: choose the variable with the best reduced cost.< / span > < / div >
< div class = "line" > < a name = "l00100" > < / a > < span class = "lineno" > 100< / span >   < span class = "comment" > // If normalize is true, we normalize the costs by the column norms.< / span > < / div >
< div class = "line" > < a name = "l00101" > < / a > < span class = "lineno" > 101< / span >   < span class = "comment" > // If nested_pricing is true, we use nested pricing (see parameters.proto).< / span > < / div >
< div class = "line" > < a name = "l00102" > < / a > < span class = "lineno" > 102< / span >   < span class = "keyword" > template< / span > < < span class = "keywordtype" > bool< / span > normalize, < span class = "keywordtype" > bool< / span > nested_pricing> < / div >
< div class = "line" > < a name = "l00103" > < / a > < span class = "lineno" > 103< / span >   < span class = "keywordtype" > void< / span > DantzigChooseEnteringColumn(ColIndex* entering_col);< / div >
< div class = "line" > < a name = "l00104" > < / a > < span class = "lineno" > 104< / span >   < / div >
< div class = "line" > < a name = "l00105" > < / a > < span class = "lineno" > 105< / span >   < span class = "comment" > // Steepest edge rule: the reduced costs are normalized by the edges norm.< / span > < / div >
< div class = "line" > < a name = "l00106" > < / a > < span class = "lineno" > 106< / span >   < span class = "comment" > // Devex rule: the reduced costs are normalized by an approximation of the< / span > < / div >
< div class = "line" > < a name = "l00107" > < / a > < span class = "lineno" > 107< / span >   < span class = "comment" > // edges norm.< / span > < / div >
< div class = "line" > < a name = "l00108" > < / a > < span class = "lineno" > 108< / span >   < span class = "keyword" > template< / span > < < span class = "keywordtype" > bool< / span > use_steepest_edge> < / div >
< div class = "line" > < a name = "l00109" > < / a > < span class = "lineno" > 109< / span >   < span class = "keywordtype" > void< / span > NormalizedChooseEnteringColumn(ColIndex* entering_col);< / div >
< div class = "line" > < a name = "l00110" > < / a > < span class = "lineno" > 110< / span >   < / div >
< div class = "line" > < a name = "l00111" > < / a > < span class = "lineno" > 111< / span >   < span class = "comment" > // Problem data that should be updated from outside.< / span > < / div >
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< div class = "line" > < a name = "l00112" > < / a > < span class = "lineno" > 112< / span >   < span class = "keyword" > const< / span > < a class = "code" href = "classoperations__research_1_1glop_1_1_variables_info.html" > VariablesInfo< / a > & variables_info_;< / 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 >   < a class = "code" href = "namespaceoperations__research.html#a6743e8c90bbb85a1017486ed70c7d29b" > random_engine_t< / a > * random_;< / div >
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< div class = "line" > < a name = "l00115" > < / a > < span class = "lineno" > 115< / span >   < a class = "code" href = "classoperations__research_1_1glop_1_1_reduced_costs.html" > ReducedCosts< / a > * reduced_costs_;< / div >
< div class = "line" > < a name = "l00116" > < / a > < span class = "lineno" > 116< / span >   < a class = "code" href = "classoperations__research_1_1glop_1_1_primal_edge_norms.html" > PrimalEdgeNorms< / a > * primal_edge_norms_;< / div >
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< div class = "line" > < a name = "l00117" > < / a > < span class = "lineno" > 117< / span >   < / div >
< div class = "line" > < a name = "l00118" > < / a > < span class = "lineno" > 118< / span >   < span class = "comment" > // Internal data.< / span > < / div >
< div class = "line" > < a name = "l00119" > < / a > < span class = "lineno" > 119< / span >   GlopParameters parameters_;< / div >
< div class = "line" > < a name = "l00120" > < / a > < span class = "lineno" > 120< / span >   GlopParameters::PricingRule rule_;< / div >
< 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" > // Stats.< / span > < / div >
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< div class = "line" > < a name = "l00123" > < / a > < span class = "lineno" > 123< / 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 = "l00124" > < / a > < span class = "lineno" > 124< / span >   Stats()< / div >
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< div class = "line" > < a name = "l00125" > < / a > < span class = "lineno" > 125< / span >   : < a class = "code" href = "classoperations__research_1_1_stats_group.html" > StatsGroup< / a > (< span class = "stringliteral" > " EnteringVariable" < / span > ),< / div >
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< div class = "line" > < a name = "l00126" > < / a > < span class = "lineno" > 126< / span >   num_perfect_ties(< span class = "stringliteral" > " num_perfect_ties" < / span > , this) {}< / div >
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< div class = "line" > < a name = "l00127" > < / a > < span class = "lineno" > 127< / span >   < a class = "code" href = "classoperations__research_1_1_integer_distribution.html" > IntegerDistribution< / a > num_perfect_ties;< / div >
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< div class = "line" > < a name = "l00128" > < / a > < span class = "lineno" > 128< / span >   };< / div >
< div class = "line" > < a name = "l00129" > < / a > < span class = "lineno" > 129< / span >   Stats stats_;< / div >
< div class = "line" > < a name = "l00130" > < / a > < span class = "lineno" > 130< / span >   < / div >
< div class = "line" > < a name = "l00131" > < / a > < span class = "lineno" > 131< / span >   < span class = "comment" > // This is used for nested pricing. It is denoted J in Ping-Qi Pan' s paper.< / span > < / div >
< div class = "line" > < a name = "l00132" > < / a > < span class = "lineno" > 132< / span >   < span class = "comment" > // At a given step, it is true for the variable that should be considered for< / span > < / div >
< div class = "line" > < a name = "l00133" > < / a > < span class = "lineno" > 133< / span >   < span class = "comment" > // entering the basis.< / span > < / div >
< div class = "line" > < a name = "l00134" > < / a > < span class = "lineno" > 134< / span >   < a class = "code" href = "namespaceoperations__research_1_1glop.html#aaf3efa52c50a245bf2fc964386a15d49" > DenseBitRow< / a > unused_columns_;< / div >
< div class = "line" > < a name = "l00135" > < / a > < span class = "lineno" > 135< / span >   < / div >
< div class = "line" > < a name = "l00136" > < / a > < span class = "lineno" > 136< / span >   < span class = "comment" > // Temporary vector used to hold the best entering column candidates that are< / span > < / div >
< div class = "line" > < a name = "l00137" > < / a > < span class = "lineno" > 137< / span >   < span class = "comment" > // tied using the current choosing criteria. We actually only store the tied< / span > < / div >
< div class = "line" > < a name = "l00138" > < / a > < span class = "lineno" > 138< / span >   < span class = "comment" > // candidate #2, #3, ...; because the first tied candidate is remembered< / span > < / div >
< div class = "line" > < a name = "l00139" > < / a > < span class = "lineno" > 139< / span >   < span class = "comment" > // anyway.< / span > < / div >
< div class = "line" > < a name = "l00140" > < / a > < span class = "lineno" > 140< / span >   std::vector< ColIndex> equivalent_entering_choices_;< / div >
< div class = "line" > < a name = "l00141" > < / a > < span class = "lineno" > 141< / span >   < / div >
< div class = "line" > < a name = "l00142" > < / a > < span class = "lineno" > 142< / span >   < span class = "comment" > // Store a column with its update coefficient and ratio.< / span > < / div >
< div class = "line" > < a name = "l00143" > < / a > < span class = "lineno" > 143< / span >   < span class = "comment" > // This is used during the dual phase I & II ratio tests.< / span > < / div >
< div class = "line" > < a name = "l00144" > < / a > < span class = "lineno" > 144< / span >   < span class = "keyword" > struct < / span > ColWithRatio {< / div >
< div class = "line" > < a name = "l00145" > < / a > < span class = "lineno" > 145< / span >   ColWithRatio(ColIndex _col, < a class = "code" href = "namespaceoperations__research_1_1glop.html#a733947145e3e1631165b618b05c9ccb7" > Fractional< / a > reduced_cost, < a class = "code" href = "namespaceoperations__research_1_1glop.html#a733947145e3e1631165b618b05c9ccb7" > Fractional< / a > coeff_m)< / div >
< div class = "line" > < a name = "l00146" > < / a > < span class = "lineno" > 146< / span >   : < a class = "code" href = "markowitz_8cc.html#aa9d6c98fdf8d89b0e2321fda02adc82c" > col< / a > (_col), < a class = "code" href = "revised__simplex_8cc.html#af01c50e388647c921aa7d9c77f2b72b2" > ratio< / a > (reduced_cost / coeff_m), < a class = "code" href = "revised__simplex_8cc.html#a773239be94b6b64ba8fa2367b86776be" > coeff_magnitude< / a > (coeff_m) {}< / div >
< div class = "line" > < a name = "l00147" > < / a > < span class = "lineno" > 147< / span >   < / div >
< div class = "line" > < a name = "l00148" > < / a > < span class = "lineno" > 148< / span >   < span class = "comment" > // Returns false if " this" is before " other" in a priority queue.< / span > < / div >
< div class = "line" > < a name = "l00149" > < / a > < span class = "lineno" > 149< / span >   < span class = "keywordtype" > bool< / span > operator< (< span class = "keyword" > const< / span > ColWithRatio& other)< span class = "keyword" > const < / span > {< / div >
< div class = "line" > < a name = "l00150" > < / a > < span class = "lineno" > 150< / span >   < span class = "keywordflow" > if< / span > (< a class = "code" href = "revised__simplex_8cc.html#af01c50e388647c921aa7d9c77f2b72b2" > ratio< / a > == other.ratio) {< / div >
< div class = "line" > < a name = "l00151" > < / a > < span class = "lineno" > 151< / span >   < span class = "keywordflow" > if< / span > (< a class = "code" href = "revised__simplex_8cc.html#a773239be94b6b64ba8fa2367b86776be" > coeff_magnitude< / a > == other.coeff_magnitude) {< / div >
< div class = "line" > < a name = "l00152" > < / a > < span class = "lineno" > 152< / span >   < span class = "keywordflow" > return< / span > < a class = "code" href = "markowitz_8cc.html#aa9d6c98fdf8d89b0e2321fda02adc82c" > col< / a > > other.col;< / div >
< div class = "line" > < a name = "l00153" > < / a > < span class = "lineno" > 153< / span >   }< / div >
< div class = "line" > < a name = "l00154" > < / a > < span class = "lineno" > 154< / span >   < span class = "keywordflow" > return< / span > < a class = "code" href = "revised__simplex_8cc.html#a773239be94b6b64ba8fa2367b86776be" > coeff_magnitude< / a > < other.coeff_magnitude;< / div >
< div class = "line" > < a name = "l00155" > < / a > < span class = "lineno" > 155< / span >   }< / div >
< div class = "line" > < a name = "l00156" > < / a > < span class = "lineno" > 156< / span >   < span class = "keywordflow" > return< / span > < a class = "code" href = "revised__simplex_8cc.html#af01c50e388647c921aa7d9c77f2b72b2" > ratio< / a > > other.ratio;< / div >
< div class = "line" > < a name = "l00157" > < / a > < span class = "lineno" > 157< / span >   }< / div >
< div class = "line" > < a name = "l00158" > < / a > < span class = "lineno" > 158< / span >   < / div >
< div class = "line" > < a name = "l00159" > < / a > < span class = "lineno" > 159< / span >   ColIndex < a class = "code" href = "markowitz_8cc.html#aa9d6c98fdf8d89b0e2321fda02adc82c" > col< / a > ;< / div >
< div class = "line" > < a name = "l00160" > < / a > < span class = "lineno" > 160< / span >   < a class = "code" href = "namespaceoperations__research_1_1glop.html#a733947145e3e1631165b618b05c9ccb7" > Fractional< / a > < a class = "code" href = "revised__simplex_8cc.html#af01c50e388647c921aa7d9c77f2b72b2" > ratio< / a > ;< / div >
< div class = "line" > < a name = "l00161" > < / a > < span class = "lineno" > 161< / span >   < a class = "code" href = "namespaceoperations__research_1_1glop.html#a733947145e3e1631165b618b05c9ccb7" > Fractional< / a > < a class = "code" href = "revised__simplex_8cc.html#a773239be94b6b64ba8fa2367b86776be" > coeff_magnitude< / a > ;< / div >
< div class = "line" > < a name = "l00162" > < / a > < span class = "lineno" > 162< / span >   };< / div >
< div class = "line" > < a name = "l00163" > < / a > < span class = "lineno" > 163< / span >   < / div >
< div class = "line" > < a name = "l00164" > < / a > < span class = "lineno" > 164< / span >   < span class = "comment" > // Temporary vector used to hold breakpoints.< / span > < / div >
< div class = "line" > < a name = "l00165" > < / a > < span class = "lineno" > 165< / span >   std::vector< ColWithRatio> breakpoints_;< / div >
< div class = "line" > < a name = "l00166" > < / a > < span class = "lineno" > 166< / span >   < / div >
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< div class = "line" > < a name = "l00167" > < / a > < span class = "lineno" > 167< / span >   DISALLOW_COPY_AND_ASSIGN(< a class = "code" href = "classoperations__research_1_1glop_1_1_entering_variable.html#a89f8a547d5b7781ed931411543cc3178" > EnteringVariable< / a > );< / div >
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< div class = "line" > < a name = "l00168" > < / a > < span class = "lineno" > 168< / span >   };< / div >
< div class = "line" > < a name = "l00169" > < / a > < span class = "lineno" > 169< / span >   < / div >
< div class = "line" > < a name = "l00170" > < / a > < span class = "lineno" > 170< / span >   } < span class = "comment" > // namespace glop< / span > < / div >
< div class = "line" > < a name = "l00171" > < / a > < span class = "lineno" > 171< / span >   } < span class = "comment" > // namespace operations_research< / span > < / div >
< div class = "line" > < a name = "l00172" > < / a > < span class = "lineno" > 172< / span >   < / div >
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< div class = "line" > < a name = "l00173" > < / a > < span class = "lineno" > 173< / span >   < span class = "preprocessor" > #endif < / span > < span class = "comment" > // SWIG< / span > < / div >
< div class = "line" > < a name = "l00174" > < / a > < span class = "lineno" > 174< / span >   < span class = "preprocessor" > #endif < / span > < span class = "comment" > // OR_TOOLS_GLOP_ENTERING_VARIABLE_H_< / span > < / div >
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< div class = "ttc" id = "abasis__representation_8h_html" > < div class = "ttname" > < a href = "basis__representation_8h.html" > basis_representation.h< / a > < / div > < / div >
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< div class = "ttc" id = "abitset_8h_html" > < div class = "ttname" > < a href = "bitset_8h.html" > bitset.h< / a > < / div > < / div >
< div class = "ttc" id = "aclassoperations__research_1_1_bitset64_html" > < div class = "ttname" > < a href = "classoperations__research_1_1_bitset64.html" > operations_research::Bitset64< ColIndex > < / 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 >
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< 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 >
2021-01-26 11:28:50 +01:00
< div class = "ttc" id = "aclassoperations__research_1_1glop_1_1_entering_variable_html" > < div class = "ttname" > < a href = "classoperations__research_1_1glop_1_1_entering_variable.html" > operations_research::glop::EnteringVariable< / a > < / div > < div class = "ttdef" > < b > Definition:< / b > < a href = "entering__variable_8h_source.html#l00053" > entering_variable.h:53< / a > < / div > < / div >
< div class = "ttc" id = "aclassoperations__research_1_1glop_1_1_entering_variable_html_a2a939bd2d3e5cb2dfdf1e03e75b4a548" > < div class = "ttname" > < a href = "classoperations__research_1_1glop_1_1_entering_variable.html#a2a939bd2d3e5cb2dfdf1e03e75b4a548" > operations_research::glop::EnteringVariable::ResetUnusedColumns< / a > < / div > < div class = "ttdeci" > DenseBitRow * ResetUnusedColumns()< / div > < div class = "ttdef" > < b > Definition:< / b > < a href = "entering__variable_8cc_source.html#l00380" > entering_variable.cc:380< / a > < / div > < / div >
< div class = "ttc" id = "aclassoperations__research_1_1glop_1_1_entering_variable_html_a47f0e702c155e2cf5c48d8a9a7d0b434" > < div class = "ttname" > < a href = "classoperations__research_1_1glop_1_1_entering_variable.html#a47f0e702c155e2cf5c48d8a9a7d0b434" > operations_research::glop::EnteringVariable::PrimalChooseEnteringColumn< / a > < / div > < div class = "ttdeci" > ABSL_MUST_USE_RESULT Status PrimalChooseEnteringColumn(ColIndex *entering_col)< / div > < div class = "ttdef" > < b > Definition:< / b > < a href = "entering__variable_8cc_source.html#l00037" > entering_variable.cc:37< / a > < / div > < / div >
< div class = "ttc" id = "aclassoperations__research_1_1glop_1_1_entering_variable_html_a5f7903563e698189cc516ed6a5496a9a" > < div class = "ttname" > < a href = "classoperations__research_1_1glop_1_1_entering_variable.html#a5f7903563e698189cc516ed6a5496a9a" > operations_research::glop::EnteringVariable::DualChooseEnteringColumn< / a > < / div > < div class = "ttdeci" > ABSL_MUST_USE_RESULT Status DualChooseEnteringColumn(const UpdateRow & update_row, Fractional cost_variation, std::vector< ColIndex > *bound_flip_candidates, ColIndex *entering_col, Fractional *step)< / div > < div class = "ttdef" > < b > Definition:< / b > < a href = "entering__variable_8cc_source.html#l00089" > entering_variable.cc:89< / a > < / div > < / div >
< div class = "ttc" id = "aclassoperations__research_1_1glop_1_1_entering_variable_html_a89f8a547d5b7781ed931411543cc3178" > < div class = "ttname" > < a href = "classoperations__research_1_1glop_1_1_entering_variable.html#a89f8a547d5b7781ed931411543cc3178" > operations_research::glop::EnteringVariable::EnteringVariable< / a > < / div > < div class = "ttdeci" > EnteringVariable(const VariablesInfo & variables_info, random_engine_t *random, ReducedCosts *reduced_costs, PrimalEdgeNorms *primal_edge_norms)< / div > < div class = "ttdef" > < b > Definition:< / b > < a href = "entering__variable_8cc_source.html#l00025" > entering_variable.cc:25< / a > < / div > < / div >
2020-10-09 12:00:09 +02:00
< div class = "ttc" id = "aclassoperations__research_1_1glop_1_1_entering_variable_html_ab86e98881b35d34abe244a4dd776c7f6" > < div class = "ttname" > < a href = "classoperations__research_1_1glop_1_1_entering_variable.html#ab86e98881b35d34abe244a4dd776c7f6" > operations_research::glop::EnteringVariable::DualPhaseIChooseEnteringColumn< / a > < / div > < div class = "ttdeci" > ABSL_MUST_USE_RESULT Status DualPhaseIChooseEnteringColumn(const UpdateRow & update_row, Fractional cost_variation, ColIndex *entering_col, Fractional *step)< / div > < div class = "ttdef" > < b > Definition:< / b > < a href = "entering__variable_8cc_source.html#l00268" > entering_variable.cc:268< / a > < / div > < / div >
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< div class = "ttc" id = "aclassoperations__research_1_1glop_1_1_entering_variable_html_ad3a8fd026015306e23a8ed6889b48f18" > < div class = "ttname" > < a href = "classoperations__research_1_1glop_1_1_entering_variable.html#ad3a8fd026015306e23a8ed6889b48f18" > operations_research::glop::EnteringVariable::SetPricingRule< / a > < / div > < div class = "ttdeci" > void SetPricingRule(GlopParameters::PricingRule rule)< / div > < div class = "ttdef" > < b > Definition:< / b > < a href = "entering__variable_8cc_source.html#l00376" > entering_variable.cc:376< / a > < / div > < / div >
< div class = "ttc" id = "aclassoperations__research_1_1glop_1_1_entering_variable_html_ae7202d055b6b172a8a1da4f5b136f9ea" > < div class = "ttname" > < a href = "classoperations__research_1_1glop_1_1_entering_variable.html#ae7202d055b6b172a8a1da4f5b136f9ea" > operations_research::glop::EnteringVariable::SetParameters< / a > < / div > < div class = "ttdeci" > void SetParameters(const GlopParameters & parameters)< / div > < div class = "ttdef" > < b > Definition:< / b > < a href = "entering__variable_8cc_source.html#l00372" > entering_variable.cc:372< / a > < / div > < / div >
< div class = "ttc" id = "aclassoperations__research_1_1glop_1_1_entering_variable_html_af9bc435481ae9e6e60d66a65d5394a7f" > < div class = "ttname" > < a href = "classoperations__research_1_1glop_1_1_entering_variable.html#af9bc435481ae9e6e60d66a65d5394a7f" > operations_research::glop::EnteringVariable::StatString< / a > < / div > < div class = "ttdeci" > std::string StatString() const< / div > < div class = "ttdef" > < b > Definition:< / b > < a href = "entering__variable_8h_source.html#l00092" > entering_variable.h:92< / a > < / div > < / div >
< div class = "ttc" id = "aclassoperations__research_1_1glop_1_1_primal_edge_norms_html" > < div class = "ttname" > < a href = "classoperations__research_1_1glop_1_1_primal_edge_norms.html" > operations_research::glop::PrimalEdgeNorms< / a > < / div > < div class = "ttdef" > < b > Definition:< / b > < a href = "primal__edge__norms_8h_source.html#l00054" > primal_edge_norms.h:54< / a > < / div > < / div >
< div class = "ttc" id = "aclassoperations__research_1_1glop_1_1_reduced_costs_html" > < div class = "ttname" > < a href = "classoperations__research_1_1glop_1_1_reduced_costs.html" > operations_research::glop::ReducedCosts< / a > < / div > < div class = "ttdef" > < b > Definition:< / b > < a href = "reduced__costs_8h_source.html#l00048" > reduced_costs.h:48< / a > < / div > < / div >
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< 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_update_row_html" > < div class = "ttname" > < a href = "classoperations__research_1_1glop_1_1_update_row.html" > operations_research::glop::UpdateRow< / a > < / div > < div class = "ttdef" > < b > Definition:< / b > < a href = "update__row_8h_source.html#l00038" > update_row.h:38< / a > < / div > < / div >
2021-01-26 11:28:50 +01:00
< div class = "ttc" id = "aclassoperations__research_1_1glop_1_1_variables_info_html" > < div class = "ttname" > < a href = "classoperations__research_1_1glop_1_1_variables_info.html" > operations_research::glop::VariablesInfo< / a > < / div > < div class = "ttdef" > < b > Definition:< / b > < a href = "variables__info_8h_source.html#l00029" > variables_info.h:29< / 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_8h_html" > < div class = "ttname" > < a href = "lp__data_8h.html" > lp_data.h< / a > < / div > < / div >
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< 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 = "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_aaf3efa52c50a245bf2fc964386a15d49" > < div class = "ttname" > < a href = "namespaceoperations__research_1_1glop.html#aaf3efa52c50a245bf2fc964386a15d49" > operations_research::glop::DenseBitRow< / a > < / div > < div class = "ttdeci" > Bitset64< ColIndex > DenseBitRow< / div > < div class = "ttdef" > < b > Definition:< / b > < a href = "lp__types_8h_source.html#l00323" > lp_types.h:323< / 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 >
< div class = "ttc" id = "anamespaceoperations__research_html_a6743e8c90bbb85a1017486ed70c7d29b" > < div class = "ttname" > < a href = "namespaceoperations__research.html#a6743e8c90bbb85a1017486ed70c7d29b" > operations_research::random_engine_t< / a > < / div > < div class = "ttdeci" > std::mt19937 random_engine_t< / div > < div class = "ttdef" > < b > Definition:< / b > < a href = "random__engine_8h_source.html#l00023" > random_engine.h:23< / a > < / div > < / div >
< div class = "ttc" id = "aparameters_8pb_8h_html" > < div class = "ttname" > < a href = "parameters_8pb_8h.html" > parameters.pb.h< / a > < / div > < / div >
2020-09-01 16:00:33 +02:00
< div class = "ttc" id = "aprimal__edge__norms_8h_html" > < div class = "ttname" > < a href = "primal__edge__norms_8h.html" > primal_edge_norms.h< / a > < / div > < / div >
< div class = "ttc" id = "arandom__engine_8h_html" > < div class = "ttname" > < a href = "random__engine_8h.html" > random_engine.h< / a > < / div > < / div >
2021-01-26 11:28:50 +01:00
< div class = "ttc" id = "areduced__costs_8h_html" > < div class = "ttname" > < a href = "reduced__costs_8h.html" > reduced_costs.h< / a > < / div > < / div >
2021-02-16 18:34:57 +01:00
< div class = "ttc" id = "arevised__simplex_8cc_html_a773239be94b6b64ba8fa2367b86776be" > < div class = "ttname" > < a href = "revised__simplex_8cc.html#a773239be94b6b64ba8fa2367b86776be" > coeff_magnitude< / a > < / div > < div class = "ttdeci" > Fractional coeff_magnitude< / div > < div class = "ttdef" > < b > Definition:< / b > < a href = "revised__simplex_8cc_source.html#l01808" > revised_simplex.cc:1808< / a > < / div > < / div >
< div class = "ttc" id = "arevised__simplex_8cc_html_af01c50e388647c921aa7d9c77f2b72b2" > < div class = "ttname" > < a href = "revised__simplex_8cc.html#af01c50e388647c921aa7d9c77f2b72b2" > ratio< / a > < / div > < div class = "ttdeci" > Fractional ratio< / div > < div class = "ttdef" > < b > Definition:< / b > < a href = "revised__simplex_8cc_source.html#l01807" > revised_simplex.cc:1807< / a > < / div > < / div >
2020-09-01 16:00:33 +02:00
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2021-01-26 11:28:50 +01:00
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2020-09-01 16:00:33 +02:00
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