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< a href = "primal__edge__norms_8cc.html" > Go to the documentation of this file.< / a > < div class = "fragment" > < div class = "line" > < a id = "l00001" name = "l00001" > < / a > < span class = "lineno" > 1< / span > < span class = "comment" > // Copyright 2010-2021 Google LLC< / span > < / div >
< div class = "line" > < a id = "l00002" name = "l00002" > < / a > < span class = "lineno" > 2< / span > < span class = "comment" > // Licensed under the Apache License, Version 2.0 (the " License" );< / span > < / div >
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< div class = "line" > < a id = "l00004" name = "l00004" > < / a > < span class = "lineno" > 4< / span > < span class = "comment" > // You may obtain a copy of the License at< / span > < / div >
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< div class = "line" > < a id = "l00014" name = "l00014" > < / a > < span class = "lineno" > 14< / 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 id = "l00015" name = "l00015" > < / a > < span class = "lineno" > 15< / span > < / div >
< div class = "line" > < a id = "l00016" name = "l00016" > < / a > < span class = "lineno" > 16< / span > < span class = "preprocessor" > #include " < a class = "code" href = "timer_8h.html" > ortools/base/timer.h< / a > " < / span > < / div >
< div class = "line" > < a id = "l00017" name = "l00017" > < / a > < span class = "lineno" > 17< / span > < span class = "preprocessor" > #include " < a class = "code" href = "lp__data_2lp__utils_8h.html" > ortools/lp_data/lp_utils.h< / a > " < / span > < / div >
< div class = "line" > < a id = "l00018" name = "l00018" > < / a > < span class = "lineno" > 18< / span > < / div >
< div class = "line" > < a id = "l00019" name = "l00019" > < / a > < span class = "lineno" > 19< / span > < span class = "keyword" > namespace < / span > < a class = "code hl_namespace" href = "namespaceoperations__research.html" > operations_research< / a > {< / div >
< div class = "line" > < a id = "l00020" name = "l00020" > < / a > < span class = "lineno" > 20< / span > < span class = "keyword" > namespace < / span > glop {< / div >
< div class = "line" > < a id = "l00021" name = "l00021" > < / a > < span class = "lineno" > 21< / span > < / div >
< div class = "line" > < a id = "l00022" name = "l00022" > < / a > < span class = "lineno" > < a class = "line" href = "classoperations__research_1_1glop_1_1_primal_edge_norms.html#a41fd24e395f2e06f7d702da9fba3ec3c" > 22< / a > < / span > < a class = "code hl_function" href = "classoperations__research_1_1glop_1_1_primal_edge_norms.html#a41fd24e395f2e06f7d702da9fba3ec3c" > PrimalEdgeNorms::PrimalEdgeNorms< / a > (< span class = "keyword" > const< / span > < a class = "code hl_class" href = "classoperations__research_1_1glop_1_1_compact_sparse_matrix.html" > CompactSparseMatrix< / a > & compact_matrix,< / div >
< div class = "line" > < a id = "l00023" name = "l00023" > < / a > < span class = "lineno" > 23< / span > < span class = "keyword" > const< / span > < a class = "code hl_class" href = "classoperations__research_1_1glop_1_1_variables_info.html" > VariablesInfo< / a > & variables_info,< / div >
< div class = "line" > < a id = "l00024" name = "l00024" > < / a > < span class = "lineno" > 24< / span > < span class = "keyword" > const< / span > < a class = "code hl_class" href = "classoperations__research_1_1glop_1_1_basis_factorization.html" > BasisFactorization< / a > & basis_factorization)< / div >
< div class = "line" > < a id = "l00025" name = "l00025" > < / a > < span class = "lineno" > 25< / span > : compact_matrix_(compact_matrix),< / div >
< div class = "line" > < a id = "l00026" name = "l00026" > < / a > < span class = "lineno" > 26< / span > variables_info_(variables_info),< / div >
< div class = "line" > < a id = "l00027" name = "l00027" > < / a > < span class = "lineno" > 27< / span > basis_factorization_(basis_factorization),< / div >
< div class = "line" > < a id = "l00028" name = "l00028" > < / a > < span class = "lineno" > 28< / span > stats_(),< / div >
< div class = "line" > < a id = "l00029" name = "l00029" > < / a > < span class = "lineno" > 29< / span > recompute_edge_squared_norms_(true),< / div >
< div class = "line" > < a id = "l00030" name = "l00030" > < / a > < span class = "lineno" > 30< / span > reset_devex_weights_(true),< / div >
< div class = "line" > < a id = "l00031" name = "l00031" > < / a > < span class = "lineno" > 31< / span > edge_squared_norms_(),< / div >
< div class = "line" > < a id = "l00032" name = "l00032" > < / a > < span class = "lineno" > 32< / span > matrix_column_norms_(),< / div >
< div class = "line" > < a id = "l00033" name = "l00033" > < / a > < span class = "lineno" > 33< / span > devex_weights_(),< / div >
< div class = "line" > < a id = "l00034" name = "l00034" > < / a > < span class = "lineno" > 34< / span > direction_left_inverse_(),< / div >
< div class = "line" > < a id = "l00035" name = "l00035" > < / a > < span class = "lineno" > 35< / span > num_operations_(0) {}< / div >
< div class = "line" > < a id = "l00036" name = "l00036" > < / a > < span class = "lineno" > 36< / span > < / div >
< div class = "line" > < a id = "l00037" name = "l00037" > < / a > < span class = "lineno" > < a class = "line" href = "classoperations__research_1_1glop_1_1_primal_edge_norms.html#aa71d36872f416feaa853788a7a7a7ef8" > 37< / a > < / span > < span class = "keywordtype" > void< / span > < a class = "code hl_function" href = "classoperations__research_1_1glop_1_1_primal_edge_norms.html#aa71d36872f416feaa853788a7a7a7ef8" > PrimalEdgeNorms::Clear< / a > () {< / div >
< div class = "line" > < a id = "l00038" name = "l00038" > < / a > < span class = "lineno" > 38< / span > < a class = "code hl_define" href = "stats_8h.html#a9995704aaaf45fc21e08c847551a8d04" > SCOPED_TIME_STAT< / a > (& stats_);< / div >
< div class = "line" > < a id = "l00039" name = "l00039" > < / a > < span class = "lineno" > 39< / span > recompute_edge_squared_norms_ = < span class = "keyword" > true< / span > ;< / div >
< div class = "line" > < a id = "l00040" name = "l00040" > < / a > < span class = "lineno" > 40< / span > reset_devex_weights_ = < span class = "keyword" > true< / span > ;< / div >
< div class = "line" > < a id = "l00041" name = "l00041" > < / a > < span class = "lineno" > 41< / span > < span class = "keywordflow" > for< / span > (< span class = "keywordtype" > bool< / span > * watcher : watchers_) *watcher = < span class = "keyword" > true< / span > ;< / div >
< div class = "line" > < a id = "l00042" name = "l00042" > < / a > < span class = "lineno" > 42< / span > }< / div >
< div class = "line" > < a id = "l00043" name = "l00043" > < / a > < span class = "lineno" > 43< / span > < / div >
< div class = "line" > < a id = "l00044" name = "l00044" > < / a > < span class = "lineno" > < a class = "line" href = "classoperations__research_1_1glop_1_1_primal_edge_norms.html#af507437729fd1e93677772e748ca1cfc" > 44< / a > < / span > < span class = "keywordtype" > bool< / span > < a class = "code hl_function" href = "classoperations__research_1_1glop_1_1_primal_edge_norms.html#af507437729fd1e93677772e748ca1cfc" > PrimalEdgeNorms::NeedsBasisRefactorization< / a > ()< span class = "keyword" > const < / span > {< / div >
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< div class = "line" > < a id = "l00045" name = "l00045" > < / a > < span class = "lineno" > 45< / span > < span class = "keywordflow" > if< / span > (pricing_rule_ != GlopParameters ::STEEPEST_EDGE) < span class = "keywordflow" > return< / span > < span class = "keyword" > false< / span > ;< / div >
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< div class = "line" > < a id = "l00046" name = "l00046" > < / a > < span class = "lineno" > 46< / span > < span class = "keywordflow" > return< / span > recompute_edge_squared_norms_;< / div >
< div class = "line" > < a id = "l00047" name = "l00047" > < / a > < span class = "lineno" > 47< / span > }< / div >
< div class = "line" > < a id = "l00048" name = "l00048" > < / a > < span class = "lineno" > 48< / span > < / div >
< div class = "line" > < a id = "l00049" name = "l00049" > < / a > < span class = "lineno" > < a class = "line" href = "classoperations__research_1_1glop_1_1_primal_edge_norms.html#a11b5738482346b103919cf0e6481c977" > 49< / a > < / span > < span class = "keyword" > const< / span > < a class = "code hl_class" href = "classoperations__research_1_1glop_1_1_strict_i_t_i_vector.html" > DenseRow< / a > & < a class = "code hl_function" href = "classoperations__research_1_1glop_1_1_primal_edge_norms.html#a11b5738482346b103919cf0e6481c977" > PrimalEdgeNorms::GetSquaredNorms< / a > () {< / div >
< div class = "line" > < a id = "l00050" name = "l00050" > < / a > < span class = "lineno" > 50< / span > < span class = "keywordflow" > switch< / span > (pricing_rule_) {< / div >
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< div class = "line" > < a id = "l00051" name = "l00051" > < / a > < span class = "lineno" > 51< / span > < span class = "keywordflow" > case< / span > GlopParameters::DANTZIG:< / div >
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< div class = "line" > < a id = "l00052" name = "l00052" > < / a > < span class = "lineno" > 52< / span > < span class = "keywordflow" > return< / span > < a class = "code hl_function" href = "classoperations__research_1_1glop_1_1_primal_edge_norms.html#a551ee6b517f861e2ad7557e092a9860d" > GetMatrixColumnNorms< / a > ();< / div >
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< div class = "line" > < a id = "l00053" name = "l00053" > < / a > < span class = "lineno" > 53< / span > < span class = "keywordflow" > case< / span > GlopParameters::STEEPEST_EDGE:< / div >
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< div class = "line" > < a id = "l00054" name = "l00054" > < / a > < span class = "lineno" > 54< / span > < span class = "keywordflow" > return< / span > < a class = "code hl_function" href = "classoperations__research_1_1glop_1_1_primal_edge_norms.html#a67a5105630385abc274872ab7a28e70f" > GetEdgeSquaredNorms< / a > ();< / div >
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< div class = "line" > < a id = "l00055" name = "l00055" > < / a > < span class = "lineno" > 55< / span > < span class = "keywordflow" > case< / span > GlopParameters::DEVEX:< / div >
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< div class = "line" > < a id = "l00056" name = "l00056" > < / a > < span class = "lineno" > 56< / span > < span class = "keywordflow" > return< / span > < a class = "code hl_function" href = "classoperations__research_1_1glop_1_1_primal_edge_norms.html#a6f599ec9c50fc8a7421f98203a06a428" > GetDevexWeights< / a > ();< / div >
< div class = "line" > < a id = "l00057" name = "l00057" > < / a > < span class = "lineno" > 57< / span > }< / div >
< div class = "line" > < a id = "l00058" name = "l00058" > < / a > < span class = "lineno" > 58< / span > }< / div >
< div class = "line" > < a id = "l00059" name = "l00059" > < / a > < span class = "lineno" > 59< / span > < / div >
< div class = "line" > < a id = "l00060" name = "l00060" > < / a > < span class = "lineno" > < a class = "line" href = "classoperations__research_1_1glop_1_1_primal_edge_norms.html#a67a5105630385abc274872ab7a28e70f" > 60< / a > < / span > < span class = "keyword" > const< / span > < a class = "code hl_class" href = "classoperations__research_1_1glop_1_1_strict_i_t_i_vector.html" > DenseRow< / a > & < a class = "code hl_function" href = "classoperations__research_1_1glop_1_1_primal_edge_norms.html#a67a5105630385abc274872ab7a28e70f" > PrimalEdgeNorms::GetEdgeSquaredNorms< / a > () {< / div >
< div class = "line" > < a id = "l00061" name = "l00061" > < / a > < span class = "lineno" > 61< / span > < span class = "keywordflow" > if< / span > (recompute_edge_squared_norms_) ComputeEdgeSquaredNorms();< / div >
< div class = "line" > < a id = "l00062" name = "l00062" > < / a > < span class = "lineno" > 62< / span > < span class = "keywordflow" > return< / span > edge_squared_norms_;< / div >
< div class = "line" > < a id = "l00063" name = "l00063" > < / a > < span class = "lineno" > 63< / span > }< / div >
< div class = "line" > < a id = "l00064" name = "l00064" > < / a > < span class = "lineno" > 64< / span > < / div >
< div class = "line" > < a id = "l00065" name = "l00065" > < / a > < span class = "lineno" > < a class = "line" href = "classoperations__research_1_1glop_1_1_primal_edge_norms.html#a6f599ec9c50fc8a7421f98203a06a428" > 65< / a > < / span > < span class = "keyword" > const< / span > < a class = "code hl_class" href = "classoperations__research_1_1glop_1_1_strict_i_t_i_vector.html" > DenseRow< / a > & < a class = "code hl_function" href = "classoperations__research_1_1glop_1_1_primal_edge_norms.html#a6f599ec9c50fc8a7421f98203a06a428" > PrimalEdgeNorms::GetDevexWeights< / a > () {< / div >
< div class = "line" > < a id = "l00066" name = "l00066" > < / a > < span class = "lineno" > 66< / span > < span class = "keywordflow" > if< / span > (reset_devex_weights_) ResetDevexWeights();< / div >
< div class = "line" > < a id = "l00067" name = "l00067" > < / a > < span class = "lineno" > 67< / span > < span class = "keywordflow" > return< / span > devex_weights_;< / div >
< div class = "line" > < a id = "l00068" name = "l00068" > < / a > < span class = "lineno" > 68< / span > }< / div >
< div class = "line" > < a id = "l00069" name = "l00069" > < / a > < span class = "lineno" > 69< / span > < / div >
< div class = "line" > < a id = "l00070" name = "l00070" > < / a > < span class = "lineno" > < a class = "line" href = "classoperations__research_1_1glop_1_1_primal_edge_norms.html#a551ee6b517f861e2ad7557e092a9860d" > 70< / a > < / span > < span class = "keyword" > const< / span > < a class = "code hl_class" href = "classoperations__research_1_1glop_1_1_strict_i_t_i_vector.html" > DenseRow< / a > & < a class = "code hl_function" href = "classoperations__research_1_1glop_1_1_primal_edge_norms.html#a551ee6b517f861e2ad7557e092a9860d" > PrimalEdgeNorms::GetMatrixColumnNorms< / a > () {< / div >
< div class = "line" > < a id = "l00071" name = "l00071" > < / a > < span class = "lineno" > 71< / span > < span class = "keywordflow" > if< / span > (matrix_column_norms_.< a class = "code hl_function" href = "classabsl_1_1_strong_vector.html#a644718bb2fb240de962dc3c9a1fdf0dc" > empty< / a > ()) ComputeMatrixColumnNorms();< / div >
< div class = "line" > < a id = "l00072" name = "l00072" > < / a > < span class = "lineno" > 72< / span > < span class = "keywordflow" > return< / span > matrix_column_norms_;< / div >
< div class = "line" > < a id = "l00073" name = "l00073" > < / a > < span class = "lineno" > 73< / span > }< / div >
< div class = "line" > < a id = "l00074" name = "l00074" > < / a > < span class = "lineno" > 74< / span > < / div >
< div class = "line" > < a id = "l00075" name = "l00075" > < / a > < span class = "lineno" > < a class = "line" href = "classoperations__research_1_1glop_1_1_primal_edge_norms.html#ad3e807537a555d44d5e4a0da13f3768b" > 75< / a > < / span > < span class = "keywordtype" > void< / span > < a class = "code hl_function" href = "classoperations__research_1_1glop_1_1_primal_edge_norms.html#ad3e807537a555d44d5e4a0da13f3768b" > PrimalEdgeNorms::TestEnteringEdgeNormPrecision< / a > (< / div >
< div class = "line" > < a id = "l00076" name = "l00076" > < / a > < span class = "lineno" > 76< / span > ColIndex entering_col, < span class = "keyword" > const< / span > < a class = "code hl_struct" href = "structoperations__research_1_1glop_1_1_scattered_column.html" > ScatteredColumn< / a > & direction) {< / div >
< div class = "line" > < a id = "l00077" name = "l00077" > < / a > < span class = "lineno" > 77< / span > < span class = "keywordflow" > if< / span > (!recompute_edge_squared_norms_) {< / div >
< div class = "line" > < a id = "l00078" name = "l00078" > < / a > < span class = "lineno" > 78< / span > < a class = "code hl_define" href = "stats_8h.html#a9995704aaaf45fc21e08c847551a8d04" > SCOPED_TIME_STAT< / a > (& stats_);< / div >
< div class = "line" > < a id = "l00079" name = "l00079" > < / a > < span class = "lineno" > 79< / span > < span class = "comment" > // Recompute the squared norm of the edge used during this< / span > < / div >
< div class = "line" > < a id = "l00080" name = "l00080" > < / a > < span class = "lineno" > 80< / span > < span class = "comment" > // iteration, i.e. the entering edge. Note the PreciseSquaredNorm()< / span > < / div >
< div class = "line" > < a id = "l00081" name = "l00081" > < / a > < span class = "lineno" > 81< / span > < span class = "comment" > // since it is a small price to pay for an increased precision.< / span > < / div >
< div class = "line" > < a id = "l00082" name = "l00082" > < / a > < span class = "lineno" > 82< / span > < span class = "keyword" > const< / span > < a class = "code hl_typedef" href = "namespaceoperations__research_1_1glop.html#a733947145e3e1631165b618b05c9ccb7" > Fractional< / a > old_squared_norm = edge_squared_norms_[entering_col];< / div >
< div class = "line" > < a id = "l00083" name = "l00083" > < / a > < span class = "lineno" > 83< / span > < span class = "keyword" > const< / span > < a class = "code hl_typedef" href = "namespaceoperations__research_1_1glop.html#a733947145e3e1631165b618b05c9ccb7" > Fractional< / a > precise_squared_norm = 1.0 + < a class = "code hl_function" href = "namespaceoperations__research_1_1glop.html#a1faa927dd93b43b3dea3eb2a993e30a1" > PreciseSquaredNorm< / a > (direction);< / div >
< div class = "line" > < a id = "l00084" name = "l00084" > < / a > < span class = "lineno" > 84< / span > edge_squared_norms_[entering_col] = precise_squared_norm;< / div >
< div class = "line" > < a id = "l00085" name = "l00085" > < / a > < span class = "lineno" > 85< / span > < / div >
< div class = "line" > < a id = "l00086" name = "l00086" > < / a > < span class = "lineno" > 86< / span > < span class = "keyword" > const< / span > < a class = "code hl_typedef" href = "namespaceoperations__research_1_1glop.html#a733947145e3e1631165b618b05c9ccb7" > Fractional< / a > precise_norm = sqrt(precise_squared_norm);< / div >
< div class = "line" > < a id = "l00087" name = "l00087" > < / a > < span class = "lineno" > 87< / span > < span class = "keyword" > const< / span > < a class = "code hl_typedef" href = "namespaceoperations__research_1_1glop.html#a733947145e3e1631165b618b05c9ccb7" > Fractional< / a > estimated_edges_norm_accuracy =< / div >
< div class = "line" > < a id = "l00088" name = "l00088" > < / a > < span class = "lineno" > 88< / span > (precise_norm - sqrt(old_squared_norm)) / precise_norm;< / div >
< div class = "line" > < a id = "l00089" name = "l00089" > < / a > < span class = "lineno" > 89< / span > stats_.edges_norm_accuracy.Add(estimated_edges_norm_accuracy);< / div >
< div class = "line" > < a id = "l00090" name = "l00090" > < / a > < span class = "lineno" > 90< / span > < span class = "keywordflow" > if< / span > (std::abs(estimated_edges_norm_accuracy) > < / div >
2022-03-04 00:11:33 +01:00
< div class = "line" > < a id = "l00091" name = "l00091" > < / a > < span class = "lineno" > 91< / span > parameters_.recompute_edges_norm_threshold()) {< / div >
2022-01-17 21:42:14 +01:00
< div class = "line" > < a id = "l00092" name = "l00092" > < / a > < span class = "lineno" > 92< / span > < a class = "code hl_define" href = "base_2logging_8h.html#afcaa7cadd41741bb855c2ada1d2ef927" > VLOG< / a > (1) < < < span class = "stringliteral" > " Recomputing edge norms: " < / span > < < sqrt(precise_squared_norm)< / div >
< div class = "line" > < a id = "l00093" name = "l00093" > < / a > < span class = "lineno" > 93< / span > < < < span class = "stringliteral" > " vs " < / span > < < sqrt(old_squared_norm);< / div >
< div class = "line" > < a id = "l00094" name = "l00094" > < / a > < span class = "lineno" > 94< / span > recompute_edge_squared_norms_ = < span class = "keyword" > true< / span > ;< / div >
< div class = "line" > < a id = "l00095" name = "l00095" > < / a > < span class = "lineno" > 95< / span > < span class = "keywordflow" > for< / span > (< span class = "keywordtype" > bool< / span > * watcher : watchers_) *watcher = < span class = "keyword" > true< / span > ;< / div >
< div class = "line" > < a id = "l00096" name = "l00096" > < / a > < span class = "lineno" > 96< / span > }< / div >
< div class = "line" > < a id = "l00097" name = "l00097" > < / a > < span class = "lineno" > 97< / span > }< / div >
< div class = "line" > < a id = "l00098" name = "l00098" > < / a > < span class = "lineno" > 98< / span > }< / div >
< div class = "line" > < a id = "l00099" name = "l00099" > < / a > < span class = "lineno" > 99< / span > < / div >
< div class = "line" > < a id = "l00100" name = "l00100" > < / a > < span class = "lineno" > < a class = "line" href = "classoperations__research_1_1glop_1_1_primal_edge_norms.html#ac770d9d78b0dda3be3bacb43038170e0" > 100< / a > < / span > < span class = "keywordtype" > void< / span > < a class = "code hl_function" href = "classoperations__research_1_1glop_1_1_primal_edge_norms.html#ac770d9d78b0dda3be3bacb43038170e0" > PrimalEdgeNorms::UpdateBeforeBasisPivot< / a > (ColIndex entering_col,< / div >
< div class = "line" > < a id = "l00101" name = "l00101" > < / a > < span class = "lineno" > 101< / span > ColIndex leaving_col,< / div >
< div class = "line" > < a id = "l00102" name = "l00102" > < / a > < span class = "lineno" > 102< / span > RowIndex leaving_row,< / div >
< div class = "line" > < a id = "l00103" name = "l00103" > < / a > < span class = "lineno" > 103< / span > < span class = "keyword" > const< / span > < a class = "code hl_struct" href = "structoperations__research_1_1glop_1_1_scattered_column.html" > ScatteredColumn< / a > & direction,< / div >
< div class = "line" > < a id = "l00104" name = "l00104" > < / a > < span class = "lineno" > 104< / span > < a class = "code hl_class" href = "classoperations__research_1_1glop_1_1_update_row.html" > UpdateRow< / a > * update_row) {< / div >
< div class = "line" > < a id = "l00105" name = "l00105" > < / a > < span class = "lineno" > 105< / span > < a class = "code hl_define" href = "stats_8h.html#a9995704aaaf45fc21e08c847551a8d04" > SCOPED_TIME_STAT< / a > (& stats_);< / div >
< div class = "line" > < a id = "l00106" name = "l00106" > < / a > < span class = "lineno" > 106< / span > < a class = "code hl_define" href = "base_2logging_8h.html#a46e69120fbd3b36e6960e096d23b66f0" > DCHECK_NE< / a > (entering_col, leaving_col);< / div >
< div class = "line" > < a id = "l00107" name = "l00107" > < / a > < span class = "lineno" > 107< / span > < span class = "keywordflow" > if< / span > (!recompute_edge_squared_norms_) {< / div >
< div class = "line" > < a id = "l00108" name = "l00108" > < / a > < span class = "lineno" > 108< / span > update_row-> < a class = "code hl_function" href = "classoperations__research_1_1glop_1_1_update_row.html#ac9f13d2561598d3a04b409dd7b4e1f0c" > ComputeUpdateRow< / a > (leaving_row);< / div >
< div class = "line" > < a id = "l00109" name = "l00109" > < / a > < span class = "lineno" > 109< / span > ComputeDirectionLeftInverse(entering_col, direction);< / div >
< div class = "line" > < a id = "l00110" name = "l00110" > < / a > < span class = "lineno" > 110< / span > UpdateEdgeSquaredNorms(entering_col, leaving_col, leaving_row,< / div >
< div class = "line" > < a id = "l00111" name = "l00111" > < / a > < span class = "lineno" > 111< / span > direction.< a class = "code hl_variable" href = "structoperations__research_1_1glop_1_1_scattered_vector.html#ae0473e18a367af671dc3f08063c80da4" > values< / a > , *update_row);< / div >
< div class = "line" > < a id = "l00112" name = "l00112" > < / a > < span class = "lineno" > 112< / span > }< / div >
< div class = "line" > < a id = "l00113" name = "l00113" > < / a > < span class = "lineno" > 113< / span > < span class = "keywordflow" > if< / span > (!reset_devex_weights_) {< / div >
< div class = "line" > < a id = "l00114" name = "l00114" > < / a > < span class = "lineno" > 114< / span > < span class = "comment" > // Resets devex weights once in a while. If so, no need to update them< / span > < / div >
< div class = "line" > < a id = "l00115" name = "l00115" > < / a > < span class = "lineno" > 115< / span > < span class = "comment" > // before.< / span > < / div >
< div class = "line" > < a id = "l00116" name = "l00116" > < / a > < span class = "lineno" > 116< / span > ++num_devex_updates_since_reset_;< / div >
< div class = "line" > < a id = "l00117" name = "l00117" > < / a > < span class = "lineno" > 117< / span > < span class = "keywordflow" > if< / span > (num_devex_updates_since_reset_ > < / div >
2022-03-04 00:11:33 +01:00
< div class = "line" > < a id = "l00118" name = "l00118" > < / a > < span class = "lineno" > 118< / span > parameters_.devex_weights_reset_period()) {< / div >
2022-01-17 21:42:14 +01:00
< div class = "line" > < a id = "l00119" name = "l00119" > < / a > < span class = "lineno" > 119< / span > reset_devex_weights_ = < span class = "keyword" > true< / span > ;< / div >
< div class = "line" > < a id = "l00120" name = "l00120" > < / a > < span class = "lineno" > 120< / span > } < span class = "keywordflow" > else< / span > {< / div >
< div class = "line" > < a id = "l00121" name = "l00121" > < / a > < span class = "lineno" > 121< / span > update_row-> < a class = "code hl_function" href = "classoperations__research_1_1glop_1_1_update_row.html#ac9f13d2561598d3a04b409dd7b4e1f0c" > ComputeUpdateRow< / a > (leaving_row);< / div >
< div class = "line" > < a id = "l00122" name = "l00122" > < / a > < span class = "lineno" > 122< / span > UpdateDevexWeights(entering_col, leaving_col, leaving_row,< / div >
< div class = "line" > < a id = "l00123" name = "l00123" > < / a > < span class = "lineno" > 123< / span > direction.< a class = "code hl_variable" href = "structoperations__research_1_1glop_1_1_scattered_vector.html#ae0473e18a367af671dc3f08063c80da4" > values< / a > , *update_row);< / div >
< div class = "line" > < a id = "l00124" name = "l00124" > < / a > < span class = "lineno" > 124< / span > }< / div >
< div class = "line" > < a id = "l00125" name = "l00125" > < / a > < span class = "lineno" > 125< / span > }< / div >
< div class = "line" > < a id = "l00126" name = "l00126" > < / a > < span class = "lineno" > 126< / span > }< / div >
< div class = "line" > < a id = "l00127" name = "l00127" > < / a > < span class = "lineno" > 127< / span > < / div >
< div class = "line" > < a id = "l00128" name = "l00128" > < / a > < span class = "lineno" > 128< / span > < span class = "keywordtype" > void< / span > PrimalEdgeNorms::ComputeMatrixColumnNorms() {< / div >
< div class = "line" > < a id = "l00129" name = "l00129" > < / a > < span class = "lineno" > 129< / span > < a class = "code hl_define" href = "stats_8h.html#a9995704aaaf45fc21e08c847551a8d04" > SCOPED_TIME_STAT< / a > (& stats_);< / div >
< div class = "line" > < a id = "l00130" name = "l00130" > < / a > < span class = "lineno" > 130< / span > matrix_column_norms_.< a class = "code hl_function" href = "classoperations__research_1_1glop_1_1_strict_i_t_i_vector.html#a64b6b04f3a519d2c61d49daaa88bf06e" > resize< / a > (compact_matrix_.< a class = "code hl_function" href = "classoperations__research_1_1glop_1_1_compact_sparse_matrix.html#a41741829541d089f1c4d34f190884813" > num_cols< / a > (), 0.0);< / div >
< div class = "line" > < a id = "l00131" name = "l00131" > < / a > < span class = "lineno" > 131< / span > < span class = "keywordflow" > for< / span > (ColIndex < a class = "code hl_variable" href = "markowitz_8cc.html#aa9d6c98fdf8d89b0e2321fda02adc82c" > col< / a > (0); < a class = "code hl_variable" href = "markowitz_8cc.html#aa9d6c98fdf8d89b0e2321fda02adc82c" > col< / a > < compact_matrix_.< a class = "code hl_function" href = "classoperations__research_1_1glop_1_1_compact_sparse_matrix.html#a41741829541d089f1c4d34f190884813" > num_cols< / a > (); ++< a class = "code hl_variable" href = "markowitz_8cc.html#aa9d6c98fdf8d89b0e2321fda02adc82c" > col< / a > ) {< / div >
< div class = "line" > < a id = "l00132" name = "l00132" > < / a > < span class = "lineno" > 132< / span > matrix_column_norms_[< a class = "code hl_variable" href = "markowitz_8cc.html#aa9d6c98fdf8d89b0e2321fda02adc82c" > col< / a > ] = < a class = "code hl_function" href = "namespaceoperations__research_1_1glop.html#a2d53948bf5e999d006e781105aa8bc77" > SquaredNorm< / a > (compact_matrix_.< a class = "code hl_function" href = "classoperations__research_1_1glop_1_1_compact_sparse_matrix.html#afbe7c81d6b4066bf7874299a0f7c0d59" > column< / a > (< a class = "code hl_variable" href = "markowitz_8cc.html#aa9d6c98fdf8d89b0e2321fda02adc82c" > col< / a > ));< / div >
< div class = "line" > < a id = "l00133" name = "l00133" > < / a > < span class = "lineno" > 133< / span > num_operations_ += compact_matrix_.< a class = "code hl_function" href = "classoperations__research_1_1glop_1_1_compact_sparse_matrix.html#afbe7c81d6b4066bf7874299a0f7c0d59" > column< / a > (< a class = "code hl_variable" href = "markowitz_8cc.html#aa9d6c98fdf8d89b0e2321fda02adc82c" > col< / a > ).< a class = "code hl_function" href = "classoperations__research_1_1glop_1_1_column_view.html#af69d9b7065a8f31604a8134be4307749" > num_entries< / a > ().value();< / div >
< div class = "line" > < a id = "l00134" name = "l00134" > < / a > < span class = "lineno" > 134< / span > }< / div >
< div class = "line" > < a id = "l00135" name = "l00135" > < / a > < span class = "lineno" > 135< / span > }< / div >
< div class = "line" > < a id = "l00136" name = "l00136" > < / a > < span class = "lineno" > 136< / span > < / div >
< div class = "line" > < a id = "l00137" name = "l00137" > < / a > < span class = "lineno" > 137< / span > < span class = "keywordtype" > void< / span > PrimalEdgeNorms::ComputeEdgeSquaredNorms() {< / div >
< div class = "line" > < a id = "l00138" name = "l00138" > < / a > < span class = "lineno" > 138< / span > < a class = "code hl_define" href = "stats_8h.html#a9995704aaaf45fc21e08c847551a8d04" > SCOPED_TIME_STAT< / a > (& stats_);< / div >
< div class = "line" > < a id = "l00139" name = "l00139" > < / a > < span class = "lineno" > 139< / span > < / div >
< div class = "line" > < a id = "l00140" name = "l00140" > < / a > < span class = "lineno" > 140< / span > < span class = "comment" > // Since we will do a lot of inversions, it is better to be as efficient and< / span > < / div >
< div class = "line" > < a id = "l00141" name = "l00141" > < / a > < span class = "lineno" > 141< / span > < span class = "comment" > // precise as possible by refactorizing the basis.< / span > < / div >
< div class = "line" > < a id = "l00142" name = "l00142" > < / a > < span class = "lineno" > 142< / span > < a class = "code hl_define" href = "base_2logging_8h.html#ae17f8119c108cf3070bad3449c7e0006" > DCHECK< / a > (basis_factorization_.< a class = "code hl_function" href = "classoperations__research_1_1glop_1_1_basis_factorization.html#a6e2a232672ee1580b9144f558662a77c" > IsRefactorized< / a > ());< / div >
< div class = "line" > < a id = "l00143" name = "l00143" > < / a > < span class = "lineno" > 143< / span > edge_squared_norms_.< a class = "code hl_function" href = "classoperations__research_1_1glop_1_1_strict_i_t_i_vector.html#a64b6b04f3a519d2c61d49daaa88bf06e" > resize< / a > (compact_matrix_.< a class = "code hl_function" href = "classoperations__research_1_1glop_1_1_compact_sparse_matrix.html#a41741829541d089f1c4d34f190884813" > num_cols< / a > (), 0.0);< / div >
< div class = "line" > < a id = "l00144" name = "l00144" > < / a > < span class = "lineno" > 144< / span > < span class = "keywordflow" > for< / span > (< span class = "keyword" > const< / span > ColIndex < a class = "code hl_variable" href = "markowitz_8cc.html#aa9d6c98fdf8d89b0e2321fda02adc82c" > col< / a > : variables_info_.< a class = "code hl_function" href = "classoperations__research_1_1glop_1_1_variables_info.html#ac4385751c629a96a6d1ef5ac70af45e1" > GetIsRelevantBitRow< / a > ()) {< / div >
< div class = "line" > < a id = "l00145" name = "l00145" > < / a > < span class = "lineno" > 145< / span > < span class = "comment" > // Note the +1.0 in the squared norm for the component of the edge on the< / span > < / div >
< div class = "line" > < a id = "l00146" name = "l00146" > < / a > < span class = "lineno" > 146< / span > < span class = "comment" > // ' entering_col' .< / span > < / div >
< div class = "line" > < a id = "l00147" name = "l00147" > < / a > < span class = "lineno" > 147< / span > edge_squared_norms_[< a class = "code hl_variable" href = "markowitz_8cc.html#aa9d6c98fdf8d89b0e2321fda02adc82c" > col< / a > ] = 1.0 + basis_factorization_.< a class = "code hl_function" href = "classoperations__research_1_1glop_1_1_basis_factorization.html#a4bf241af6b1844669171d6e170ef991d" > RightSolveSquaredNorm< / a > (< / div >
< div class = "line" > < a id = "l00148" name = "l00148" > < / a > < span class = "lineno" > 148< / span > compact_matrix_.< a class = "code hl_function" href = "classoperations__research_1_1glop_1_1_compact_sparse_matrix.html#afbe7c81d6b4066bf7874299a0f7c0d59" > column< / a > (< a class = "code hl_variable" href = "markowitz_8cc.html#aa9d6c98fdf8d89b0e2321fda02adc82c" > col< / a > ));< / div >
< div class = "line" > < a id = "l00149" name = "l00149" > < / a > < span class = "lineno" > 149< / span > }< / div >
< div class = "line" > < a id = "l00150" name = "l00150" > < / a > < span class = "lineno" > 150< / span > recompute_edge_squared_norms_ = < span class = "keyword" > false< / span > ;< / div >
< div class = "line" > < a id = "l00151" name = "l00151" > < / a > < span class = "lineno" > 151< / span > }< / div >
< div class = "line" > < a id = "l00152" name = "l00152" > < / a > < span class = "lineno" > 152< / span > < / div >
< div class = "line" > < a id = "l00153" name = "l00153" > < / a > < span class = "lineno" > 153< / span > < span class = "comment" > // TODO(user): It should be possible to reorganize the code and call this when< / span > < / div >
< div class = "line" > < a id = "l00154" name = "l00154" > < / a > < span class = "lineno" > 154< / span > < span class = "comment" > // the value of direction is no longer needed. This will simplify the code and< / span > < / div >
< div class = "line" > < a id = "l00155" name = "l00155" > < / a > < span class = "lineno" > 155< / span > < span class = "comment" > // avoid a copy here.< / span > < / div >
< div class = "line" > < a id = "l00156" name = "l00156" > < / a > < span class = "lineno" > 156< / span > < span class = "keywordtype" > void< / span > PrimalEdgeNorms::ComputeDirectionLeftInverse(< / div >
< div class = "line" > < a id = "l00157" name = "l00157" > < / a > < span class = "lineno" > 157< / span > ColIndex entering_col, < span class = "keyword" > const< / span > ScatteredColumn& direction) {< / div >
< div class = "line" > < a id = "l00158" name = "l00158" > < / a > < span class = "lineno" > 158< / span > < a class = "code hl_define" href = "stats_8h.html#a9995704aaaf45fc21e08c847551a8d04" > SCOPED_TIME_STAT< / a > (& stats_);< / div >
< div class = "line" > < a id = "l00159" name = "l00159" > < / a > < span class = "lineno" > 159< / span > < / div >
< div class = "line" > < a id = "l00160" name = "l00160" > < / a > < span class = "lineno" > 160< / span > < span class = "comment" > // Initialize direction_left_inverse_ to direction. Note the special case when< / span > < / div >
< div class = "line" > < a id = "l00161" name = "l00161" > < / a > < span class = "lineno" > 161< / span > < span class = "comment" > // the non-zero vector is empty which means we don' t know and need to use the< / span > < / div >
< div class = "line" > < a id = "l00162" name = "l00162" > < / a > < span class = "lineno" > 162< / span > < span class = "comment" > // dense version.< / span > < / div >
< div class = "line" > < a id = "l00163" name = "l00163" > < / a > < span class = "lineno" > 163< / span > < span class = "keyword" > const< / span > ColIndex size = < a class = "code hl_function" href = "namespaceoperations__research_1_1glop.html#a8fbc9efd86a3cc862a9079d86ab8b524" > RowToColIndex< / a > (direction.values.size());< / div >
< div class = "line" > < a id = "l00164" name = "l00164" > < / a > < span class = "lineno" > 164< / span > < span class = "keyword" > const< / span > < span class = "keywordtype" > double< / span > kThreshold = 0.05 * size.value();< / div >
< div class = "line" > < a id = "l00165" name = "l00165" > < / a > < span class = "lineno" > 165< / span > < span class = "keywordflow" > if< / span > (!direction_left_inverse_.< a class = "code hl_variable" href = "structoperations__research_1_1glop_1_1_scattered_vector.html#ac146d47daa294f7e6546c7569c9c881b" > non_zeros< / a > .empty() & & < / div >
< div class = "line" > < a id = "l00166" name = "l00166" > < / a > < span class = "lineno" > 166< / span > (direction_left_inverse_.< a class = "code hl_variable" href = "structoperations__research_1_1glop_1_1_scattered_vector.html#ac146d47daa294f7e6546c7569c9c881b" > non_zeros< / a > .size() + direction.non_zeros.size() < < / div >
< div class = "line" > < a id = "l00167" name = "l00167" > < / a > < span class = "lineno" > 167< / span > 2 * kThreshold)) {< / div >
< div class = "line" > < a id = "l00168" name = "l00168" > < / a > < span class = "lineno" > 168< / span > < a class = "code hl_function" href = "namespaceoperations__research_1_1glop.html#aa6c552b94fa80def1d4d1ea64697afb1" > ClearAndResizeVectorWithNonZeros< / a > (size, & direction_left_inverse_);< / div >
< div class = "line" > < a id = "l00169" name = "l00169" > < / a > < span class = "lineno" > 169< / span > < span class = "keywordflow" > for< / span > (< span class = "keyword" > const< / span > < span class = "keyword" > auto< / span > e : direction) {< / div >
< div class = "line" > < a id = "l00170" name = "l00170" > < / a > < span class = "lineno" > 170< / span > direction_left_inverse_[< a class = "code hl_function" href = "namespaceoperations__research_1_1glop.html#a8fbc9efd86a3cc862a9079d86ab8b524" > RowToColIndex< / a > (e.row())] = e.coefficient();< / div >
< div class = "line" > < a id = "l00171" name = "l00171" > < / a > < span class = "lineno" > 171< / span > }< / div >
< div class = "line" > < a id = "l00172" name = "l00172" > < / a > < span class = "lineno" > 172< / span > } < span class = "keywordflow" > else< / span > {< / div >
< div class = "line" > < a id = "l00173" name = "l00173" > < / a > < span class = "lineno" > 173< / span > direction_left_inverse_.< a class = "code hl_variable" href = "structoperations__research_1_1glop_1_1_scattered_vector.html#ae0473e18a367af671dc3f08063c80da4" > values< / a > = < a class = "code hl_function" href = "namespaceoperations__research_1_1glop.html#aaa803ce9366dca251925e0bdde517430" > Transpose< / a > (direction.values);< / div >
< div class = "line" > < a id = "l00174" name = "l00174" > < / a > < span class = "lineno" > 174< / span > direction_left_inverse_.< a class = "code hl_variable" href = "structoperations__research_1_1glop_1_1_scattered_vector.html#ac146d47daa294f7e6546c7569c9c881b" > non_zeros< / a > .clear();< / div >
< div class = "line" > < a id = "l00175" name = "l00175" > < / a > < span class = "lineno" > 175< / span > }< / div >
< div class = "line" > < a id = "l00176" name = "l00176" > < / a > < span class = "lineno" > 176< / span > < / div >
< div class = "line" > < a id = "l00177" name = "l00177" > < / a > < span class = "lineno" > 177< / span > < span class = "keywordflow" > if< / span > (direction.non_zeros.size() < kThreshold) {< / div >
< div class = "line" > < a id = "l00178" name = "l00178" > < / a > < span class = "lineno" > 178< / span > direction_left_inverse_.< a class = "code hl_variable" href = "structoperations__research_1_1glop_1_1_scattered_vector.html#ac146d47daa294f7e6546c7569c9c881b" > non_zeros< / a > = < a class = "code hl_function" href = "namespaceoperations__research_1_1glop.html#af6375d177c0b120cebef16673060d132" > TransposedView< / a > (direction).< a class = "code hl_variable" href = "structoperations__research_1_1glop_1_1_scattered_vector.html#ac146d47daa294f7e6546c7569c9c881b" > non_zeros< / a > ;< / div >
< div class = "line" > < a id = "l00179" name = "l00179" > < / a > < span class = "lineno" > 179< / span > }< / div >
< div class = "line" > < a id = "l00180" name = "l00180" > < / a > < span class = "lineno" > 180< / span > basis_factorization_.< a class = "code hl_function" href = "classoperations__research_1_1glop_1_1_basis_factorization.html#aacdbeb58ac2d391f6586ad88db99ad61" > LeftSolve< / a > (& direction_left_inverse_);< / div >
< div class = "line" > < a id = "l00181" name = "l00181" > < / a > < span class = "lineno" > 181< / span > < / div >
< div class = "line" > < a id = "l00182" name = "l00182" > < / a > < span class = "lineno" > 182< / span > < span class = "comment" > // TODO(user): Refactorize if estimated accuracy above a threshold.< / span > < / div >
< div class = "line" > < a id = "l00183" name = "l00183" > < / a > < span class = "lineno" > 183< / span > < a class = "code hl_define" href = "stats_8h.html#a3c3e6b102f0d91c523099325c98e1887" > IF_STATS_ENABLED< / a > (stats_.direction_left_inverse_accuracy.Add(< / div >
< div class = "line" > < a id = "l00184" name = "l00184" > < / a > < span class = "lineno" > 184< / span > compact_matrix_.< a class = "code hl_function" href = "classoperations__research_1_1glop_1_1_compact_sparse_matrix.html#abdd940ad64b555052b33e763b80aea26" > ColumnScalarProduct< / a > (entering_col,< / div >
< div class = "line" > < a id = "l00185" name = "l00185" > < / a > < span class = "lineno" > 185< / span > direction_left_inverse_.< a class = "code hl_variable" href = "structoperations__research_1_1glop_1_1_scattered_vector.html#ae0473e18a367af671dc3f08063c80da4" > values< / a > ) -< / div >
< div class = "line" > < a id = "l00186" name = "l00186" > < / a > < span class = "lineno" > 186< / span > < a class = "code hl_function" href = "namespaceoperations__research_1_1glop.html#a2d53948bf5e999d006e781105aa8bc77" > SquaredNorm< / a > (direction.values)));< / div >
< div class = "line" > < a id = "l00187" name = "l00187" > < / a > < span class = "lineno" > 187< / span > < a class = "code hl_define" href = "stats_8h.html#a3c3e6b102f0d91c523099325c98e1887" > IF_STATS_ENABLED< / a > (stats_.direction_left_inverse_density.Add(< / div >
< div class = "line" > < a id = "l00188" name = "l00188" > < / a > < span class = "lineno" > 188< / span > < a class = "code hl_function" href = "namespaceoperations__research_1_1glop.html#a6b36bbbcd695191600dab9b88487ff18" > Density< / a > (direction_left_inverse_.< a class = "code hl_variable" href = "structoperations__research_1_1glop_1_1_scattered_vector.html#ae0473e18a367af671dc3f08063c80da4" > values< / a > )));< / div >
< div class = "line" > < a id = "l00189" name = "l00189" > < / a > < span class = "lineno" > 189< / span > }< / div >
< div class = "line" > < a id = "l00190" name = "l00190" > < / a > < span class = "lineno" > 190< / span > < / div >
< div class = "line" > < a id = "l00191" name = "l00191" > < / a > < span class = "lineno" > 191< / span > < span class = "comment" > // Let new_edge denote the edge of ' col' in the new basis. We want:< / span > < / div >
< div class = "line" > < a id = "l00192" name = "l00192" > < / a > < span class = "lineno" > 192< / span > < span class = "comment" > // reduced_costs_[col] = ScalarProduct(new_edge, basic_objective_);< / span > < / div >
< div class = "line" > < a id = "l00193" name = "l00193" > < / a > < span class = "lineno" > 193< / span > < span class = "comment" > // edge_squared_norms_[col] = SquaredNorm(new_edge);< / span > < / div >
< div class = "line" > < a id = "l00194" name = "l00194" > < / a > < span class = "lineno" > 194< / span > < span class = "comment" > //< / span > < / div >
< div class = "line" > < a id = "l00195" name = "l00195" > < / a > < span class = "lineno" > 195< / span > < span class = "comment" > // In order to compute this, we use the formulas:< / span > < / div >
< div class = "line" > < a id = "l00196" name = "l00196" > < / a > < span class = "lineno" > 196< / span > < span class = "comment" > // new_leaving_edge = old_entering_edge / divisor.< / span > < / div >
< div class = "line" > < a id = "l00197" name = "l00197" > < / a > < span class = "lineno" > 197< / span > < span class = "comment" > // new_edge = old_edge + update_coeff * new_leaving_edge.< / span > < / div >
< div class = "line" > < a id = "l00198" name = "l00198" > < / a > < span class = "lineno" > 198< / span > < span class = "keywordtype" > void< / span > PrimalEdgeNorms::UpdateEdgeSquaredNorms(ColIndex entering_col,< / div >
< div class = "line" > < a id = "l00199" name = "l00199" > < / a > < span class = "lineno" > 199< / span > ColIndex leaving_col,< / div >
< div class = "line" > < a id = "l00200" name = "l00200" > < / a > < span class = "lineno" > 200< / span > RowIndex leaving_row,< / div >
< div class = "line" > < a id = "l00201" name = "l00201" > < / a > < span class = "lineno" > 201< / span > < span class = "keyword" > const< / span > < a class = "code hl_typedef" href = "namespaceoperations__research_1_1glop.html#ae5fa9e57c2d31b294195ed8a9e17bfac" > DenseColumn< / a > & direction,< / div >
< div class = "line" > < a id = "l00202" name = "l00202" > < / a > < span class = "lineno" > 202< / span > < span class = "keyword" > const< / span > UpdateRow& update_row) {< / div >
< div class = "line" > < a id = "l00203" name = "l00203" > < / a > < span class = "lineno" > 203< / span > < a class = "code hl_define" href = "stats_8h.html#a9995704aaaf45fc21e08c847551a8d04" > SCOPED_TIME_STAT< / a > (& stats_);< / div >
< div class = "line" > < a id = "l00204" name = "l00204" > < / a > < span class = "lineno" > 204< / span > < / div >
< div class = "line" > < a id = "l00205" name = "l00205" > < / a > < span class = "lineno" > 205< / span > < span class = "comment" > // ' pivot' is the value of the entering_edge at ' leaving_row' .< / span > < / div >
< div class = "line" > < a id = "l00206" name = "l00206" > < / a > < span class = "lineno" > 206< / span > < span class = "comment" > // The edge of the ' leaving_col' in the new basis is equal to< / span > < / div >
< div class = "line" > < a id = "l00207" name = "l00207" > < / a > < span class = "lineno" > 207< / span > < span class = "comment" > // entering_edge / ' pivot' .< / span > < / div >
< div class = "line" > < a id = "l00208" name = "l00208" > < / a > < span class = "lineno" > 208< / span > < span class = "keyword" > const< / span > < a class = "code hl_typedef" href = "namespaceoperations__research_1_1glop.html#a733947145e3e1631165b618b05c9ccb7" > Fractional< / a > pivot = -direction[leaving_row];< / div >
< div class = "line" > < a id = "l00209" name = "l00209" > < / a > < span class = "lineno" > 209< / span > < a class = "code hl_define" href = "base_2logging_8h.html#a46e69120fbd3b36e6960e096d23b66f0" > DCHECK_NE< / a > (pivot, 0.0);< / div >
< div class = "line" > < a id = "l00210" name = "l00210" > < / a > < span class = "lineno" > 210< / span > < / div >
< div class = "line" > < a id = "l00211" name = "l00211" > < / a > < span class = "lineno" > 211< / span > < span class = "comment" > // Note that this should be precise because of the call to< / span > < / div >
< div class = "line" > < a id = "l00212" name = "l00212" > < / a > < span class = "lineno" > 212< / span > < span class = "comment" > // TestEnteringEdgeNormPrecision().< / span > < / div >
< div class = "line" > < a id = "l00213" name = "l00213" > < / a > < span class = "lineno" > 213< / span > < span class = "keyword" > const< / span > < a class = "code hl_typedef" href = "namespaceoperations__research_1_1glop.html#a733947145e3e1631165b618b05c9ccb7" > Fractional< / a > entering_squared_norm = edge_squared_norms_[entering_col];< / div >
< div class = "line" > < a id = "l00214" name = "l00214" > < / a > < span class = "lineno" > 214< / span > < span class = "keyword" > const< / span > < a class = "code hl_typedef" href = "namespaceoperations__research_1_1glop.html#a733947145e3e1631165b618b05c9ccb7" > Fractional< / a > leaving_squared_norm =< / div >
< div class = "line" > < a id = "l00215" name = "l00215" > < / a > < span class = "lineno" > 215< / span > < a class = "code hl_variable" href = "alldiff__cst_8cc.html#a26e6db9bcc64b584051ecc28171ed11f" > std::max< / a > (1.0, entering_squared_norm / < a class = "code hl_function" href = "namespaceoperations__research_1_1glop.html#a1dcd08b0f6c19cd4a302bb5a3a6ea06e" > Square< / a > (pivot));< / div >
< div class = "line" > < a id = "l00216" name = "l00216" > < / a > < span class = "lineno" > 216< / span > < / div >
< div class = "line" > < a id = "l00217" name = "l00217" > < / a > < span class = "lineno" > 217< / span > < span class = "keywordtype" > int< / span > stat_lower_bounded_norms = 0;< / div >
< div class = "line" > < a id = "l00218" name = "l00218" > < / a > < span class = "lineno" > 218< / span > < span class = "keyword" > const< / span > < a class = "code hl_typedef" href = "namespaceoperations__research_1_1glop.html#a733947145e3e1631165b618b05c9ccb7" > Fractional< / a > factor = 2.0 / pivot;< / div >
< div class = "line" > < a id = "l00219" name = "l00219" > < / a > < span class = "lineno" > 219< / span > < span class = "keywordflow" > for< / span > (< span class = "keyword" > const< / span > ColIndex < a class = "code hl_variable" href = "markowitz_8cc.html#aa9d6c98fdf8d89b0e2321fda02adc82c" > col< / a > : update_row.GetNonZeroPositions()) {< / div >
< div class = "line" > < a id = "l00220" name = "l00220" > < / a > < span class = "lineno" > 220< / span > < span class = "keyword" > const< / span > < a class = "code hl_typedef" href = "namespaceoperations__research_1_1glop.html#a733947145e3e1631165b618b05c9ccb7" > Fractional< / a > < a class = "code hl_variable" href = "variable__and__expressions_8cc.html#a2091cd7d80fdd31762020bce86138587" > coeff< / a > = update_row.GetCoefficient(< a class = "code hl_variable" href = "markowitz_8cc.html#aa9d6c98fdf8d89b0e2321fda02adc82c" > col< / a > );< / div >
< div class = "line" > < a id = "l00221" name = "l00221" > < / a > < span class = "lineno" > 221< / span > < span class = "keyword" > const< / span > < a class = "code hl_typedef" href = "namespaceoperations__research_1_1glop.html#a733947145e3e1631165b618b05c9ccb7" > Fractional< / a > scalar_product = compact_matrix_.< a class = "code hl_function" href = "classoperations__research_1_1glop_1_1_compact_sparse_matrix.html#abdd940ad64b555052b33e763b80aea26" > ColumnScalarProduct< / a > (< / div >
< div class = "line" > < a id = "l00222" name = "l00222" > < / a > < span class = "lineno" > 222< / span > < a class = "code hl_variable" href = "markowitz_8cc.html#aa9d6c98fdf8d89b0e2321fda02adc82c" > col< / a > , direction_left_inverse_.< a class = "code hl_variable" href = "structoperations__research_1_1glop_1_1_scattered_vector.html#ae0473e18a367af671dc3f08063c80da4" > values< / a > );< / div >
< div class = "line" > < a id = "l00223" name = "l00223" > < / a > < span class = "lineno" > 223< / span > num_operations_ += compact_matrix_.< a class = "code hl_function" href = "classoperations__research_1_1glop_1_1_compact_sparse_matrix.html#afbe7c81d6b4066bf7874299a0f7c0d59" > column< / a > (< a class = "code hl_variable" href = "markowitz_8cc.html#aa9d6c98fdf8d89b0e2321fda02adc82c" > col< / a > ).< a class = "code hl_function" href = "classoperations__research_1_1glop_1_1_column_view.html#af69d9b7065a8f31604a8134be4307749" > num_entries< / a > ().value();< / div >
< div class = "line" > < a id = "l00224" name = "l00224" > < / a > < span class = "lineno" > 224< / span > < / div >
< div class = "line" > < a id = "l00225" name = "l00225" > < / a > < span class = "lineno" > 225< / span > < span class = "comment" > // Update the edge squared norm of this column. Note that the update< / span > < / div >
< div class = "line" > < a id = "l00226" name = "l00226" > < / a > < span class = "lineno" > 226< / span > < span class = "comment" > // formula used is important to maximize the precision. See an explanation< / span > < / div >
< div class = "line" > < a id = "l00227" name = "l00227" > < / a > < span class = "lineno" > 227< / span > < span class = "comment" > // in the dual context in Koberstein' s PhD thesis, section 8.2.2.1.< / span > < / div >
< div class = "line" > < a id = "l00228" name = "l00228" > < / a > < span class = "lineno" > 228< / span > edge_squared_norms_[< a class = "code hl_variable" href = "markowitz_8cc.html#aa9d6c98fdf8d89b0e2321fda02adc82c" > col< / a > ] +=< / div >
< div class = "line" > < a id = "l00229" name = "l00229" > < / a > < span class = "lineno" > 229< / span > < a class = "code hl_variable" href = "variable__and__expressions_8cc.html#a2091cd7d80fdd31762020bce86138587" > coeff< / a > * (< a class = "code hl_variable" href = "variable__and__expressions_8cc.html#a2091cd7d80fdd31762020bce86138587" > coeff< / a > * leaving_squared_norm + factor * scalar_product);< / div >
< div class = "line" > < a id = "l00230" name = "l00230" > < / a > < span class = "lineno" > 230< / span > < / div >
< div class = "line" > < a id = "l00231" name = "l00231" > < / a > < span class = "lineno" > 231< / span > < span class = "comment" > // Make sure it doesn' t go under a known lower bound (TODO(user): ref?).< / span > < / div >
< div class = "line" > < a id = "l00232" name = "l00232" > < / a > < span class = "lineno" > 232< / span > < span class = "comment" > // This way norms are always > = 1.0 .< / span > < / div >
< div class = "line" > < a id = "l00233" name = "l00233" > < / a > < span class = "lineno" > 233< / span > < span class = "comment" > // TODO(user): precompute 1 / Square(pivot) or 1 / pivot? it will be< / span > < / div >
< div class = "line" > < a id = "l00234" name = "l00234" > < / a > < span class = "lineno" > 234< / span > < span class = "comment" > // slightly faster, but may introduce numerical issues. More generally,< / span > < / div >
< div class = "line" > < a id = "l00235" name = "l00235" > < / a > < span class = "lineno" > 235< / span > < span class = "comment" > // this test is only needed in a few cases, so is it worth it?< / span > < / div >
< div class = "line" > < a id = "l00236" name = "l00236" > < / a > < span class = "lineno" > 236< / span > < span class = "keyword" > const< / span > < a class = "code hl_typedef" href = "namespaceoperations__research_1_1glop.html#a733947145e3e1631165b618b05c9ccb7" > Fractional< / a > < a class = "code hl_variable" href = "gscip__solver_8cc.html#a1e2f9a2352c1d9a6cada9544898fceec" > lower_bound< / a > = 1.0 + < a class = "code hl_function" href = "namespaceoperations__research_1_1glop.html#a1dcd08b0f6c19cd4a302bb5a3a6ea06e" > Square< / a > (< a class = "code hl_variable" href = "variable__and__expressions_8cc.html#a2091cd7d80fdd31762020bce86138587" > coeff< / a > / pivot);< / div >
< div class = "line" > < a id = "l00237" name = "l00237" > < / a > < span class = "lineno" > 237< / span > < span class = "keywordflow" > if< / span > (edge_squared_norms_[< a class = "code hl_variable" href = "markowitz_8cc.html#aa9d6c98fdf8d89b0e2321fda02adc82c" > col< / a > ] < < a class = "code hl_variable" href = "gscip__solver_8cc.html#a1e2f9a2352c1d9a6cada9544898fceec" > lower_bound< / a > ) {< / div >
< div class = "line" > < a id = "l00238" name = "l00238" > < / a > < span class = "lineno" > 238< / span > edge_squared_norms_[< a class = "code hl_variable" href = "markowitz_8cc.html#aa9d6c98fdf8d89b0e2321fda02adc82c" > col< / a > ] = < a class = "code hl_variable" href = "gscip__solver_8cc.html#a1e2f9a2352c1d9a6cada9544898fceec" > lower_bound< / a > ;< / div >
< div class = "line" > < a id = "l00239" name = "l00239" > < / a > < span class = "lineno" > 239< / span > ++stat_lower_bounded_norms;< / div >
< div class = "line" > < a id = "l00240" name = "l00240" > < / a > < span class = "lineno" > 240< / span > }< / div >
< div class = "line" > < a id = "l00241" name = "l00241" > < / a > < span class = "lineno" > 241< / span > }< / div >
< div class = "line" > < a id = "l00242" name = "l00242" > < / a > < span class = "lineno" > 242< / span > edge_squared_norms_[leaving_col] = leaving_squared_norm;< / div >
< div class = "line" > < a id = "l00243" name = "l00243" > < / a > < span class = "lineno" > 243< / span > stats_.lower_bounded_norms.Add(stat_lower_bounded_norms);< / div >
< div class = "line" > < a id = "l00244" name = "l00244" > < / a > < span class = "lineno" > 244< / span > }< / div >
< div class = "line" > < a id = "l00245" name = "l00245" > < / a > < span class = "lineno" > 245< / span > < / div >
< div class = "line" > < a id = "l00246" name = "l00246" > < / a > < span class = "lineno" > 246< / span > < span class = "keywordtype" > void< / span > PrimalEdgeNorms::UpdateDevexWeights(< / div >
< div class = "line" > < a id = "l00247" name = "l00247" > < / a > < span class = "lineno" > 247< / span > ColIndex entering_col < span class = "comment" > /* index q in the paper */< / span > ,< / div >
< div class = "line" > < a id = "l00248" name = "l00248" > < / a > < span class = "lineno" > 248< / span > ColIndex leaving_col < span class = "comment" > /* index p in the paper */< / span > , RowIndex leaving_row,< / div >
< div class = "line" > < a id = "l00249" name = "l00249" > < / a > < span class = "lineno" > 249< / span > < span class = "keyword" > const< / span > < a class = "code hl_typedef" href = "namespaceoperations__research_1_1glop.html#ae5fa9e57c2d31b294195ed8a9e17bfac" > DenseColumn< / a > & direction, < span class = "keyword" > const< / span > UpdateRow& update_row) {< / div >
< div class = "line" > < a id = "l00250" name = "l00250" > < / a > < span class = "lineno" > 250< / span > < a class = "code hl_define" href = "stats_8h.html#a9995704aaaf45fc21e08c847551a8d04" > SCOPED_TIME_STAT< / a > (& stats_);< / div >
< div class = "line" > < a id = "l00251" name = "l00251" > < / a > < span class = "lineno" > 251< / span > < / div >
< div class = "line" > < a id = "l00252" name = "l00252" > < / a > < span class = "lineno" > 252< / span > < span class = "comment" > // Compared to steepest edge update, the DEVEX weight uses the largest of the< / span > < / div >
< div class = "line" > < a id = "l00253" name = "l00253" > < / a > < span class = "lineno" > 253< / span > < span class = "comment" > // norms of two vectors to approximate the norm of the sum.< / span > < / div >
< div class = "line" > < a id = "l00254" name = "l00254" > < / a > < span class = "lineno" > 254< / span > < span class = "keyword" > const< / span > < a class = "code hl_typedef" href = "namespaceoperations__research_1_1glop.html#a733947145e3e1631165b618b05c9ccb7" > Fractional< / a > entering_norm = sqrt(< a class = "code hl_function" href = "namespaceoperations__research_1_1glop.html#a1faa927dd93b43b3dea3eb2a993e30a1" > PreciseSquaredNorm< / a > (direction));< / div >
< div class = "line" > < a id = "l00255" name = "l00255" > < / a > < span class = "lineno" > 255< / span > < span class = "keyword" > const< / span > < a class = "code hl_typedef" href = "namespaceoperations__research_1_1glop.html#a733947145e3e1631165b618b05c9ccb7" > Fractional< / a > pivot_magnitude = std::abs(direction[leaving_row]);< / div >
< div class = "line" > < a id = "l00256" name = "l00256" > < / a > < span class = "lineno" > 256< / span > < span class = "keyword" > const< / span > < a class = "code hl_typedef" href = "namespaceoperations__research_1_1glop.html#a733947145e3e1631165b618b05c9ccb7" > Fractional< / a > leaving_norm =< / div >
< div class = "line" > < a id = "l00257" name = "l00257" > < / a > < span class = "lineno" > 257< / span > < a class = "code hl_variable" href = "alldiff__cst_8cc.html#a26e6db9bcc64b584051ecc28171ed11f" > std::max< / a > (1.0, entering_norm / pivot_magnitude);< / div >
< div class = "line" > < a id = "l00258" name = "l00258" > < / a > < span class = "lineno" > 258< / span > < span class = "keywordflow" > for< / span > (< span class = "keyword" > const< / span > ColIndex < a class = "code hl_variable" href = "markowitz_8cc.html#aa9d6c98fdf8d89b0e2321fda02adc82c" > col< / a > : update_row.GetNonZeroPositions()) {< / div >
< div class = "line" > < a id = "l00259" name = "l00259" > < / a > < span class = "lineno" > 259< / span > < span class = "keyword" > const< / span > < a class = "code hl_typedef" href = "namespaceoperations__research_1_1glop.html#a733947145e3e1631165b618b05c9ccb7" > Fractional< / a > < a class = "code hl_variable" href = "variable__and__expressions_8cc.html#a2091cd7d80fdd31762020bce86138587" > coeff< / a > = update_row.GetCoefficient(< a class = "code hl_variable" href = "markowitz_8cc.html#aa9d6c98fdf8d89b0e2321fda02adc82c" > col< / a > );< / div >
< div class = "line" > < a id = "l00260" name = "l00260" > < / a > < span class = "lineno" > 260< / span > < span class = "keyword" > const< / span > < a class = "code hl_typedef" href = "namespaceoperations__research_1_1glop.html#a733947145e3e1631165b618b05c9ccb7" > Fractional< / a > update_vector_norm = std::abs(< a class = "code hl_variable" href = "variable__and__expressions_8cc.html#a2091cd7d80fdd31762020bce86138587" > coeff< / a > ) * leaving_norm;< / div >
< div class = "line" > < a id = "l00261" name = "l00261" > < / a > < span class = "lineno" > 261< / span > devex_weights_[< a class = "code hl_variable" href = "markowitz_8cc.html#aa9d6c98fdf8d89b0e2321fda02adc82c" > col< / a > ] =< / div >
< div class = "line" > < a id = "l00262" name = "l00262" > < / a > < span class = "lineno" > 262< / span > < a class = "code hl_variable" href = "alldiff__cst_8cc.html#a26e6db9bcc64b584051ecc28171ed11f" > std::max< / a > (devex_weights_[< a class = "code hl_variable" href = "markowitz_8cc.html#aa9d6c98fdf8d89b0e2321fda02adc82c" > col< / a > ], < a class = "code hl_function" href = "namespaceoperations__research_1_1glop.html#a1dcd08b0f6c19cd4a302bb5a3a6ea06e" > Square< / a > (update_vector_norm));< / div >
< div class = "line" > < a id = "l00263" name = "l00263" > < / a > < span class = "lineno" > 263< / span > }< / div >
< div class = "line" > < a id = "l00264" name = "l00264" > < / a > < span class = "lineno" > 264< / span > devex_weights_[leaving_col] = < a class = "code hl_function" href = "namespaceoperations__research_1_1glop.html#a1dcd08b0f6c19cd4a302bb5a3a6ea06e" > Square< / a > (leaving_norm);< / div >
< div class = "line" > < a id = "l00265" name = "l00265" > < / a > < span class = "lineno" > 265< / span > }< / div >
< div class = "line" > < a id = "l00266" name = "l00266" > < / a > < span class = "lineno" > 266< / span > < / div >
< div class = "line" > < a id = "l00267" name = "l00267" > < / a > < span class = "lineno" > 267< / span > < span class = "keywordtype" > void< / span > PrimalEdgeNorms::ResetDevexWeights() {< / div >
< div class = "line" > < a id = "l00268" name = "l00268" > < / a > < span class = "lineno" > 268< / span > < a class = "code hl_define" href = "stats_8h.html#a9995704aaaf45fc21e08c847551a8d04" > SCOPED_TIME_STAT< / a > (& stats_);< / div >
2022-03-04 00:11:33 +01:00
< div class = "line" > < a id = "l00269" name = "l00269" > < / a > < span class = "lineno" > 269< / span > < span class = "keywordflow" > if< / span > (parameters_.initialize_devex_with_column_norms()) {< / div >
2022-01-17 21:42:14 +01:00
< div class = "line" > < a id = "l00270" name = "l00270" > < / a > < span class = "lineno" > 270< / span > devex_weights_ = < a class = "code hl_function" href = "classoperations__research_1_1glop_1_1_primal_edge_norms.html#a551ee6b517f861e2ad7557e092a9860d" > GetMatrixColumnNorms< / a > ();< / div >
< div class = "line" > < a id = "l00271" name = "l00271" > < / a > < span class = "lineno" > 271< / span > } < span class = "keywordflow" > else< / span > {< / div >
< div class = "line" > < a id = "l00272" name = "l00272" > < / a > < span class = "lineno" > 272< / span > devex_weights_.< a class = "code hl_function" href = "classoperations__research_1_1glop_1_1_strict_i_t_i_vector.html#af8d7048738ceb4c753b040e6d29db79c" > assign< / a > (compact_matrix_.< a class = "code hl_function" href = "classoperations__research_1_1glop_1_1_compact_sparse_matrix.html#a41741829541d089f1c4d34f190884813" > num_cols< / a > (), 1.0);< / div >
< div class = "line" > < a id = "l00273" name = "l00273" > < / a > < span class = "lineno" > 273< / span > }< / div >
< div class = "line" > < a id = "l00274" name = "l00274" > < / a > < span class = "lineno" > 274< / span > num_devex_updates_since_reset_ = 0;< / div >
< div class = "line" > < a id = "l00275" name = "l00275" > < / a > < span class = "lineno" > 275< / span > reset_devex_weights_ = < span class = "keyword" > false< / span > ;< / div >
< div class = "line" > < a id = "l00276" name = "l00276" > < / a > < span class = "lineno" > 276< / span > }< / div >
< div class = "line" > < a id = "l00277" name = "l00277" > < / a > < span class = "lineno" > 277< / span > < / div >
< div class = "line" > < a id = "l00278" name = "l00278" > < / a > < span class = "lineno" > 278< / span > } < span class = "comment" > // namespace glop< / span > < / div >
< div class = "line" > < a id = "l00279" name = "l00279" > < / a > < span class = "lineno" > 279< / span > } < span class = "comment" > // namespace operations_research< / span > < / div >
< div class = "ttc" id = "aalldiff__cst_8cc_html_a26e6db9bcc64b584051ecc28171ed11f" > < div class = "ttname" > < a href = "alldiff__cst_8cc.html#a26e6db9bcc64b584051ecc28171ed11f" > max< / a > < / div > < div class = "ttdeci" > int64_t max< / div > < div class = "ttdef" > < b > Definition:< / b > < a href = "alldiff__cst_8cc_source.html#l00140" > alldiff_cst.cc:140< / a > < / div > < / div >
2022-03-04 00:11:33 +01:00
< div class = "ttc" id = "abase_2logging_8h_html_a46e69120fbd3b36e6960e096d23b66f0" > < div class = "ttname" > < a href = "base_2logging_8h.html#a46e69120fbd3b36e6960e096d23b66f0" > DCHECK_NE< / a > < / div > < div class = "ttdeci" > #define DCHECK_NE(val1, val2)< / div > < div class = "ttdef" > < b > Definition:< / b > < a href = "base_2logging_8h_source.html#l00892" > base/logging.h:892< / a > < / div > < / div >
< div class = "ttc" id = "abase_2logging_8h_html_ae17f8119c108cf3070bad3449c7e0006" > < div class = "ttname" > < a href = "base_2logging_8h.html#ae17f8119c108cf3070bad3449c7e0006" > DCHECK< / a > < / div > < div class = "ttdeci" > #define DCHECK(condition)< / div > < div class = "ttdef" > < b > Definition:< / b > < a href = "base_2logging_8h_source.html#l00890" > base/logging.h:890< / a > < / div > < / div >
< div class = "ttc" id = "abase_2logging_8h_html_afcaa7cadd41741bb855c2ada1d2ef927" > < div class = "ttname" > < a href = "base_2logging_8h.html#afcaa7cadd41741bb855c2ada1d2ef927" > VLOG< / a > < / div > < div class = "ttdeci" > #define VLOG(verboselevel)< / div > < div class = "ttdef" > < b > Definition:< / b > < a href = "base_2logging_8h_source.html#l00984" > base/logging.h:984< / a > < / div > < / div >
2022-01-17 21:42:14 +01:00
< div class = "ttc" id = "aclassabsl_1_1_strong_vector_html_a644718bb2fb240de962dc3c9a1fdf0dc" > < div class = "ttname" > < a href = "classabsl_1_1_strong_vector.html#a644718bb2fb240de962dc3c9a1fdf0dc" > absl::StrongVector::empty< / a > < / div > < div class = "ttdeci" > bool empty() const< / div > < div class = "ttdef" > < b > Definition:< / b > < a href = "strong__vector_8h_source.html#l00156" > strong_vector.h:156< / 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_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#l00498" > basis_representation.cc:498< / 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#l00222" > basis_representation.cc:222< / a > < / div > < / div >
< 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#l00337" > basis_representation.cc:337< / a > < / div > < / div >
< div class = "ttc" id = "aclassoperations__research_1_1glop_1_1_column_view_html_af69d9b7065a8f31604a8134be4307749" > < div class = "ttname" > < a href = "classoperations__research_1_1glop_1_1_column_view.html#af69d9b7065a8f31604a8134be4307749" > operations_research::glop::ColumnView::num_entries< / a > < / div > < div class = "ttdeci" > EntryIndex num_entries() const< / div > < div class = "ttdef" > < b > Definition:< / b > < a href = "sparse__column_8h_source.html#l00082" > sparse_column.h:82< / a > < / div > < / div >
< div class = "ttc" id = "aclassoperations__research_1_1glop_1_1_compact_sparse_matrix_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#l00289" > sparse.h:289< / a > < / div > < / div >
< div class = "ttc" id = "aclassoperations__research_1_1glop_1_1_compact_sparse_matrix_html_a41741829541d089f1c4d34f190884813" > < div class = "ttname" > < a href = "classoperations__research_1_1glop_1_1_compact_sparse_matrix.html#a41741829541d089f1c4d34f190884813" > operations_research::glop::CompactSparseMatrix::num_cols< / a > < / div > < div class = "ttdeci" > ColIndex num_cols() const< / div > < div class = "ttdef" > < b > Definition:< / b > < a href = "sparse_8h_source.html#l00350" > sparse.h:350< / a > < / div > < / div >
< div class = "ttc" id = "aclassoperations__research_1_1glop_1_1_compact_sparse_matrix_html_abdd940ad64b555052b33e763b80aea26" > < div class = "ttname" > < a href = "classoperations__research_1_1glop_1_1_compact_sparse_matrix.html#abdd940ad64b555052b33e763b80aea26" > operations_research::glop::CompactSparseMatrix::ColumnScalarProduct< / a > < / div > < div class = "ttdeci" > Fractional ColumnScalarProduct(ColIndex col, const DenseRow & vector) const< / div > < div class = "ttdef" > < b > Definition:< / b > < a href = "sparse_8h_source.html#l00387" > sparse.h:387< / a > < / div > < / div >
< div class = "ttc" id = "aclassoperations__research_1_1glop_1_1_compact_sparse_matrix_html_afbe7c81d6b4066bf7874299a0f7c0d59" > < div class = "ttname" > < a href = "classoperations__research_1_1glop_1_1_compact_sparse_matrix.html#afbe7c81d6b4066bf7874299a0f7c0d59" > operations_research::glop::CompactSparseMatrix::column< / a > < / div > < div class = "ttdeci" > ColumnView column(ColIndex col) const< / div > < div class = "ttdef" > < b > Definition:< / b > < a href = "sparse_8h_source.html#l00369" > sparse.h:369< / a > < / div > < / div >
< div class = "ttc" id = "aclassoperations__research_1_1glop_1_1_primal_edge_norms_html_a11b5738482346b103919cf0e6481c977" > < div class = "ttname" > < a href = "classoperations__research_1_1glop_1_1_primal_edge_norms.html#a11b5738482346b103919cf0e6481c977" > operations_research::glop::PrimalEdgeNorms::GetSquaredNorms< / a > < / div > < div class = "ttdeci" > const DenseRow & GetSquaredNorms()< / div > < div class = "ttdef" > < b > Definition:< / b > < a href = "primal__edge__norms_8cc_source.html#l00049" > primal_edge_norms.cc:49< / a > < / div > < / div >
< div class = "ttc" id = "aclassoperations__research_1_1glop_1_1_primal_edge_norms_html_a41fd24e395f2e06f7d702da9fba3ec3c" > < div class = "ttname" > < a href = "classoperations__research_1_1glop_1_1_primal_edge_norms.html#a41fd24e395f2e06f7d702da9fba3ec3c" > operations_research::glop::PrimalEdgeNorms::PrimalEdgeNorms< / a > < / div > < div class = "ttdeci" > PrimalEdgeNorms(const CompactSparseMatrix & compact_matrix, const VariablesInfo & variables_info, const BasisFactorization & basis_factorization)< / div > < div class = "ttdef" > < b > Definition:< / b > < a href = "primal__edge__norms_8cc_source.html#l00022" > primal_edge_norms.cc:22< / a > < / div > < / div >
< div class = "ttc" id = "aclassoperations__research_1_1glop_1_1_primal_edge_norms_html_a551ee6b517f861e2ad7557e092a9860d" > < div class = "ttname" > < a href = "classoperations__research_1_1glop_1_1_primal_edge_norms.html#a551ee6b517f861e2ad7557e092a9860d" > operations_research::glop::PrimalEdgeNorms::GetMatrixColumnNorms< / a > < / div > < div class = "ttdeci" > const DenseRow & GetMatrixColumnNorms()< / div > < div class = "ttdef" > < b > Definition:< / b > < a href = "primal__edge__norms_8cc_source.html#l00070" > primal_edge_norms.cc:70< / a > < / div > < / div >
< div class = "ttc" id = "aclassoperations__research_1_1glop_1_1_primal_edge_norms_html_a67a5105630385abc274872ab7a28e70f" > < div class = "ttname" > < a href = "classoperations__research_1_1glop_1_1_primal_edge_norms.html#a67a5105630385abc274872ab7a28e70f" > operations_research::glop::PrimalEdgeNorms::GetEdgeSquaredNorms< / a > < / div > < div class = "ttdeci" > const DenseRow & GetEdgeSquaredNorms()< / div > < div class = "ttdef" > < b > Definition:< / b > < a href = "primal__edge__norms_8cc_source.html#l00060" > primal_edge_norms.cc:60< / a > < / div > < / div >
< div class = "ttc" id = "aclassoperations__research_1_1glop_1_1_primal_edge_norms_html_a6f599ec9c50fc8a7421f98203a06a428" > < div class = "ttname" > < a href = "classoperations__research_1_1glop_1_1_primal_edge_norms.html#a6f599ec9c50fc8a7421f98203a06a428" > operations_research::glop::PrimalEdgeNorms::GetDevexWeights< / a > < / div > < div class = "ttdeci" > const DenseRow & GetDevexWeights()< / div > < div class = "ttdef" > < b > Definition:< / b > < a href = "primal__edge__norms_8cc_source.html#l00065" > primal_edge_norms.cc:65< / a > < / div > < / div >
< div class = "ttc" id = "aclassoperations__research_1_1glop_1_1_primal_edge_norms_html_aa71d36872f416feaa853788a7a7a7ef8" > < div class = "ttname" > < a href = "classoperations__research_1_1glop_1_1_primal_edge_norms.html#aa71d36872f416feaa853788a7a7a7ef8" > operations_research::glop::PrimalEdgeNorms::Clear< / a > < / div > < div class = "ttdeci" > void Clear()< / div > < div class = "ttdef" > < b > Definition:< / b > < a href = "primal__edge__norms_8cc_source.html#l00037" > primal_edge_norms.cc:37< / a > < / div > < / div >
< div class = "ttc" id = "aclassoperations__research_1_1glop_1_1_primal_edge_norms_html_ac770d9d78b0dda3be3bacb43038170e0" > < div class = "ttname" > < a href = "classoperations__research_1_1glop_1_1_primal_edge_norms.html#ac770d9d78b0dda3be3bacb43038170e0" > operations_research::glop::PrimalEdgeNorms::UpdateBeforeBasisPivot< / a > < / div > < div class = "ttdeci" > void UpdateBeforeBasisPivot(ColIndex entering_col, ColIndex leaving_col, RowIndex leaving_row, const ScatteredColumn & direction, UpdateRow *update_row)< / div > < div class = "ttdef" > < b > Definition:< / b > < a href = "primal__edge__norms_8cc_source.html#l00100" > primal_edge_norms.cc:100< / a > < / div > < / div >
< div class = "ttc" id = "aclassoperations__research_1_1glop_1_1_primal_edge_norms_html_ad3e807537a555d44d5e4a0da13f3768b" > < div class = "ttname" > < a href = "classoperations__research_1_1glop_1_1_primal_edge_norms.html#ad3e807537a555d44d5e4a0da13f3768b" > operations_research::glop::PrimalEdgeNorms::TestEnteringEdgeNormPrecision< / a > < / div > < div class = "ttdeci" > void TestEnteringEdgeNormPrecision(ColIndex entering_col, const ScatteredColumn & direction)< / div > < div class = "ttdef" > < b > Definition:< / b > < a href = "primal__edge__norms_8cc_source.html#l00075" > primal_edge_norms.cc:75< / a > < / div > < / div >
< div class = "ttc" id = "aclassoperations__research_1_1glop_1_1_primal_edge_norms_html_af507437729fd1e93677772e748ca1cfc" > < div class = "ttname" > < a href = "classoperations__research_1_1glop_1_1_primal_edge_norms.html#af507437729fd1e93677772e748ca1cfc" > operations_research::glop::PrimalEdgeNorms::NeedsBasisRefactorization< / a > < / div > < div class = "ttdeci" > bool NeedsBasisRefactorization() const< / div > < div class = "ttdef" > < b > Definition:< / b > < a href = "primal__edge__norms_8cc_source.html#l00044" > primal_edge_norms.cc:44< / 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 = "aclassoperations__research_1_1glop_1_1_strict_i_t_i_vector_html_a64b6b04f3a519d2c61d49daaa88bf06e" > < div class = "ttname" > < a href = "classoperations__research_1_1glop_1_1_strict_i_t_i_vector.html#a64b6b04f3a519d2c61d49daaa88bf06e" > operations_research::glop::StrictITIVector::resize< / a > < / div > < div class = "ttdeci" > void resize(IntType size)< / div > < div class = "ttdef" > < b > Definition:< / b > < a href = "lp__types_8h_source.html#l00273" > lp_types.h:273< / a > < / div > < / div >
< div class = "ttc" id = "aclassoperations__research_1_1glop_1_1_strict_i_t_i_vector_html_af8d7048738ceb4c753b040e6d29db79c" > < div class = "ttname" > < a href = "classoperations__research_1_1glop_1_1_strict_i_t_i_vector.html#af8d7048738ceb4c753b040e6d29db79c" > operations_research::glop::StrictITIVector::assign< / a > < / div > < div class = "ttdeci" > void assign(IntType size, const T & v)< / div > < div class = "ttdef" > < b > Definition:< / b > < a href = "lp__types_8h_source.html#l00278" > lp_types.h:278< / 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#l00040" > update_row.h:40< / a > < / div > < / div >
< div class = "ttc" id = "aclassoperations__research_1_1glop_1_1_update_row_html_ac9f13d2561598d3a04b409dd7b4e1f0c" > < div class = "ttname" > < a href = "classoperations__research_1_1glop_1_1_update_row.html#ac9f13d2561598d3a04b409dd7b4e1f0c" > operations_research::glop::UpdateRow::ComputeUpdateRow< / a > < / div > < div class = "ttdeci" > void ComputeUpdateRow(RowIndex leaving_row)< / div > < div class = "ttdef" > < b > Definition:< / b > < a href = "update__row_8cc_source.html#l00071" > update_row.cc:71< / a > < / div > < / div >
< 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#l00055" > variables_info.h:55< / a > < / div > < / div >
< div class = "ttc" id = "aclassoperations__research_1_1glop_1_1_variables_info_html_ac4385751c629a96a6d1ef5ac70af45e1" > < div class = "ttname" > < a href = "classoperations__research_1_1glop_1_1_variables_info.html#ac4385751c629a96a6d1ef5ac70af45e1" > operations_research::glop::VariablesInfo::GetIsRelevantBitRow< / a > < / div > < div class = "ttdeci" > const DenseBitRow & GetIsRelevantBitRow() const< / div > < div class = "ttdef" > < b > Definition:< / b > < a href = "variables__info_8cc_source.html#l00302" > variables_info.cc:302< / a > < / div > < / div >
< div class = "ttc" id = "agscip__solver_8cc_html_a1e2f9a2352c1d9a6cada9544898fceec" > < div class = "ttname" > < a href = "gscip__solver_8cc.html#a1e2f9a2352c1d9a6cada9544898fceec" > lower_bound< / a > < / div > < div class = "ttdeci" > double lower_bound< / div > < div class = "ttdef" > < b > Definition:< / b > < a href = "gscip__solver_8cc_source.html#l00136" > gscip_solver.cc:136< / a > < / div > < / div >
< div class = "ttc" id = "alp__data_2lp__utils_8h_html" > < div class = "ttname" > < a href = "lp__data_2lp__utils_8h.html" > lp_utils.h< / a > < / div > < / div >
< div class = "ttc" id = "amarkowitz_8cc_html_aa9d6c98fdf8d89b0e2321fda02adc82c" > < div class = "ttname" > < a href = "markowitz_8cc.html#aa9d6c98fdf8d89b0e2321fda02adc82c" > col< / a > < / div > < div class = "ttdeci" > ColIndex col< / div > < div class = "ttdef" > < b > Definition:< / b > < a href = "markowitz_8cc_source.html#l00183" > markowitz.cc:183< / a > < / div > < / div >
< div class = "ttc" id = "anamespaceoperations__research_1_1glop_html_a1dcd08b0f6c19cd4a302bb5a3a6ea06e" > < div class = "ttname" > < a href = "namespaceoperations__research_1_1glop.html#a1dcd08b0f6c19cd4a302bb5a3a6ea06e" > operations_research::glop::Square< / a > < / div > < div class = "ttdeci" > Fractional Square(Fractional f)< / div > < div class = "ttdef" > < b > Definition:< / b > < a href = "lp__data_2lp__utils_8h_source.html#l00036" > lp_data/lp_utils.h:36< / a > < / div > < / div >
< div class = "ttc" id = "anamespaceoperations__research_1_1glop_html_a1faa927dd93b43b3dea3eb2a993e30a1" > < div class = "ttname" > < a href = "namespaceoperations__research_1_1glop.html#a1faa927dd93b43b3dea3eb2a993e30a1" > operations_research::glop::PreciseSquaredNorm< / a > < / div > < div class = "ttdeci" > Fractional PreciseSquaredNorm(const SparseColumn & v)< / div > < div class = "ttdef" > < b > Definition:< / b > < a href = "lp__data_2lp__utils_8cc_source.html#l00038" > lp_data/lp_utils.cc:38< / a > < / div > < / div >
< div class = "ttc" id = "anamespaceoperations__research_1_1glop_html_a2d53948bf5e999d006e781105aa8bc77" > < div class = "ttname" > < a href = "namespaceoperations__research_1_1glop.html#a2d53948bf5e999d006e781105aa8bc77" > operations_research::glop::SquaredNorm< / a > < / div > < div class = "ttdeci" > Fractional SquaredNorm(const SparseColumn & v)< / div > < div class = "ttdef" > < b > Definition:< / b > < a href = "lp__data_2lp__utils_8cc_source.html#l00030" > lp_data/lp_utils.cc:30< / a > < / div > < / div >
< div class = "ttc" id = "anamespaceoperations__research_1_1glop_html_a6b36bbbcd695191600dab9b88487ff18" > < div class = "ttname" > < a href = "namespaceoperations__research_1_1glop.html#a6b36bbbcd695191600dab9b88487ff18" > operations_research::glop::Density< / a > < / div > < div class = "ttdeci" > double Density(const DenseRow & row)< / div > < div class = "ttdef" > < b > Definition:< / b > < a href = "lp__data_2lp__utils_8cc_source.html#l00106" > lp_data/lp_utils.cc:106< / 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#l00078" > lp_types.h:78< / a > < / div > < / div >
< div class = "ttc" id = "anamespaceoperations__research_1_1glop_html_a8fbc9efd86a3cc862a9079d86ab8b524" > < div class = "ttname" > < a href = "namespaceoperations__research_1_1glop.html#a8fbc9efd86a3cc862a9079d86ab8b524" > operations_research::glop::RowToColIndex< / a > < / div > < div class = "ttdeci" > ColIndex RowToColIndex(RowIndex row)< / div > < div class = "ttdef" > < b > Definition:< / b > < a href = "lp__types_8h_source.html#l00049" > lp_types.h:49< / a > < / div > < / div >
< div class = "ttc" id = "anamespaceoperations__research_1_1glop_html_aa6c552b94fa80def1d4d1ea64697afb1" > < div class = "ttname" > < a href = "namespaceoperations__research_1_1glop.html#aa6c552b94fa80def1d4d1ea64697afb1" > operations_research::glop::ClearAndResizeVectorWithNonZeros< / a > < / div > < div class = "ttdeci" > void ClearAndResizeVectorWithNonZeros(IndexType size, ScatteredRowOrCol *v)< / div > < div class = "ttdef" > < b > Definition:< / b > < a href = "lp__data_2lp__utils_8h_source.html#l00278" > lp_data/lp_utils.h:278< / a > < / div > < / div >
< div class = "ttc" id = "anamespaceoperations__research_1_1glop_html_aaa803ce9366dca251925e0bdde517430" > < div class = "ttname" > < a href = "namespaceoperations__research_1_1glop.html#aaa803ce9366dca251925e0bdde517430" > operations_research::glop::Transpose< / a > < / div > < div class = "ttdeci" > const DenseRow & Transpose(const DenseColumn & col)< / div > < div class = "ttdef" > < b > Definition:< / b > < a href = "lp__data_2lp__utils_8h_source.html#l00192" > lp_data/lp_utils.h:192< / a > < / div > < / div >
< 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#l00332" > lp_types.h:332< / a > < / div > < / div >
2022-03-04 00:11:33 +01:00
< div class = "ttc" id = "anamespaceoperations__research_1_1glop_html_af6375d177c0b120cebef16673060d132" > < div class = "ttname" > < a href = "namespaceoperations__research_1_1glop.html#af6375d177c0b120cebef16673060d132" > operations_research::glop::TransposedView< / a > < / div > < div class = "ttdeci" > const ScatteredRow & TransposedView(const ScatteredColumn & c)< / div > < div class = "ttdef" > < b > Definition:< / b > < a href = "scattered__vector_8h_source.html#l00199" > scattered_vector.h:199< / a > < / div > < / div >
2022-01-17 21:42:14 +01:00
< div class = "ttc" id = "anamespaceoperations__research_html" > < div class = "ttname" > < a href = "namespaceoperations__research.html" > operations_research< / a > < / div > < div class = "ttdoc" > Collection of objects used to extend the Constraint Solver library.< / div > < div class = "ttdef" > < b > Definition:< / b > < a href = "dense__doubly__linked__list_8h_source.html#l00021" > dense_doubly_linked_list.h:21< / a > < / div > < / div >
< div class = "ttc" id = "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 = "astats_8h_html_a3c3e6b102f0d91c523099325c98e1887" > < div class = "ttname" > < a href = "stats_8h.html#a3c3e6b102f0d91c523099325c98e1887" > IF_STATS_ENABLED< / a > < / div > < div class = "ttdeci" > #define IF_STATS_ENABLED(instructions)< / div > < div class = "ttdef" > < b > Definition:< / b > < a href = "stats_8h_source.html#l00437" > stats.h:437< / a > < / div > < / div >
< div class = "ttc" id = "astats_8h_html_a9995704aaaf45fc21e08c847551a8d04" > < div class = "ttname" > < a href = "stats_8h.html#a9995704aaaf45fc21e08c847551a8d04" > SCOPED_TIME_STAT< / a > < / div > < div class = "ttdeci" > #define SCOPED_TIME_STAT(stats)< / div > < div class = "ttdef" > < b > Definition:< / b > < a href = "stats_8h_source.html#l00438" > stats.h:438< / a > < / div > < / div >
2022-03-04 00:11:33 +01:00
< div class = "ttc" id = "astructoperations__research_1_1glop_1_1_scattered_column_html" > < div class = "ttname" > < a href = "structoperations__research_1_1glop_1_1_scattered_column.html" > operations_research::glop::ScatteredColumn< / a > < / div > < div class = "ttdef" > < b > Definition:< / b > < a href = "scattered__vector_8h_source.html#l00195" > scattered_vector.h:196< / a > < / div > < / div >
< div class = "ttc" id = "astructoperations__research_1_1glop_1_1_scattered_vector_html_ac146d47daa294f7e6546c7569c9c881b" > < div class = "ttname" > < a href = "structoperations__research_1_1glop_1_1_scattered_vector.html#ac146d47daa294f7e6546c7569c9c881b" > operations_research::glop::ScatteredVector::non_zeros< / a > < / div > < div class = "ttdeci" > std::vector< Index > non_zeros< / div > < div class = "ttdef" > < b > Definition:< / b > < a href = "scattered__vector_8h_source.html#l00061" > scattered_vector.h:61< / a > < / div > < / div >
< div class = "ttc" id = "astructoperations__research_1_1glop_1_1_scattered_vector_html_ae0473e18a367af671dc3f08063c80da4" > < div class = "ttname" > < a href = "structoperations__research_1_1glop_1_1_scattered_vector.html#ae0473e18a367af671dc3f08063c80da4" > operations_research::glop::ScatteredVector::values< / a > < / div > < div class = "ttdeci" > StrictITIVector< Index, Fractional > values< / div > < div class = "ttdef" > < b > Definition:< / b > < a href = "scattered__vector_8h_source.html#l00056" > scattered_vector.h:56< / a > < / div > < / div >
2022-01-17 21:42:14 +01:00
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< div class = "ttc" id = "avariable__and__expressions_8cc_html_a2091cd7d80fdd31762020bce86138587" > < div class = "ttname" > < a href = "variable__and__expressions_8cc.html#a2091cd7d80fdd31762020bce86138587" > coeff< / a > < / div > < div class = "ttdeci" > const double coeff< / div > < div class = "ttdef" > < b > Definition:< / b > < a href = "variable__and__expressions_8cc_source.html#l00105" > variable_and_expressions.cc:105< / a > < / div > < / div >
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< / ul >
< / div >
< / body >
< / html >
