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< a href = "pdlp__bridge_8h.html" > Go to the documentation of this file.< / a > < div class = "fragment" > < div class = "line" > < a id = "l00001" name = "l00001" > < / a > < span class = "lineno" > 1< / span > < span class = "comment" > // Copyright 2010-2021 Google LLC< / span > < / div >
< div class = "line" > < a id = "l00002" name = "l00002" > < / a > < span class = "lineno" > 2< / span > < span class = "comment" > // Licensed under the Apache License, Version 2.0 (the " License" );< / span > < / div >
< div class = "line" > < a id = "l00003" name = "l00003" > < / a > < span class = "lineno" > 3< / span > < span class = "comment" > // you may not use this file except in compliance with the License.< / span > < / div >
< div class = "line" > < a id = "l00004" name = "l00004" > < / a > < span class = "lineno" > 4< / span > < span class = "comment" > // You may obtain a copy of the License at< / span > < / div >
< div class = "line" > < a id = "l00005" name = "l00005" > < / a > < span class = "lineno" > 5< / span > < span class = "comment" > //< / span > < / div >
< div class = "line" > < a id = "l00006" name = "l00006" > < / a > < span class = "lineno" > 6< / span > < span class = "comment" > // http://www.apache.org/licenses/LICENSE-2.0< / span > < / div >
< div class = "line" > < a id = "l00007" name = "l00007" > < / a > < span class = "lineno" > 7< / span > < span class = "comment" > //< / span > < / div >
< div class = "line" > < a id = "l00008" name = "l00008" > < / a > < span class = "lineno" > 8< / span > < span class = "comment" > // Unless required by applicable law or agreed to in writing, software< / span > < / div >
< div class = "line" > < a id = "l00009" name = "l00009" > < / a > < span class = "lineno" > 9< / span > < span class = "comment" > // distributed under the License is distributed on an " AS IS" BASIS,< / span > < / div >
< div class = "line" > < a id = "l00010" name = "l00010" > < / a > < span class = "lineno" > 10< / span > < span class = "comment" > // WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.< / span > < / div >
< div class = "line" > < a id = "l00011" name = "l00011" > < / a > < span class = "lineno" > 11< / span > < span class = "comment" > // See the License for the specific language governing permissions and< / span > < / div >
< div class = "line" > < a id = "l00012" name = "l00012" > < / a > < span class = "lineno" > 12< / span > < span class = "comment" > // limitations under the License.< / span > < / div >
< div class = "line" > < a id = "l00013" name = "l00013" > < / a > < span class = "lineno" > 13< / span > < / div >
< div class = "line" > < a id = "l00014" name = "l00014" > < / a > < span class = "lineno" > 14< / span > < span class = "preprocessor" > #ifndef OR_TOOLS_MATH_OPT_SOLVERS_PDLP_BRIDGE_H_< / span > < / div >
< div class = "line" > < a id = "l00015" name = "l00015" > < / a > < span class = "lineno" > 15< / span > < span class = "preprocessor" > #define OR_TOOLS_MATH_OPT_SOLVERS_PDLP_BRIDGE_H_< / span > < / div >
< div class = "line" > < a id = "l00016" name = "l00016" > < / a > < span class = "lineno" > 16< / span > < / div >
< div class = "line" > < a id = "l00017" name = "l00017" > < / a > < span class = "lineno" > 17< / span > < span class = "preprocessor" > #include < cstdint> < / span > < / div >
< div class = "line" > < a id = "l00018" name = "l00018" > < / a > < span class = "lineno" > 18< / span > < span class = "preprocessor" > #include < vector> < / span > < / div >
< div class = "line" > < a id = "l00019" name = "l00019" > < / a > < span class = "lineno" > 19< / span > < / div >
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< div class = "line" > < a id = "l00020" name = "l00020" > < / a > < span class = "lineno" > 20< / span > < span class = "preprocessor" > #include " Eigen/Core" < / span > < / div >
< div class = "line" > < a id = "l00021" name = "l00021" > < / a > < span class = "lineno" > 21< / span > < span class = "preprocessor" > #include " absl/container/flat_hash_map.h" < / span > < / div >
< div class = "line" > < a id = "l00022" name = "l00022" > < / a > < span class = "lineno" > 22< / span > < span class = "preprocessor" > #include " absl/status/statusor.h" < / span > < / div >
< div class = "line" > < a id = "l00023" name = "l00023" > < / a > < span class = "lineno" > 23< / span > < span class = "preprocessor" > #include " < a class = "code" href = "inverted__bounds_8h.html" > ortools/math_opt/core/inverted_bounds.h< / a > " < / span > < / div >
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< div class = "line" > < a id = "l00024" name = "l00024" > < / a > < span class = "lineno" > 24< / span > < span class = "preprocessor" > #include " ortools/math_opt/model.pb.h" < / span > < / div >
< div class = "line" > < a id = "l00025" name = "l00025" > < / a > < span class = "lineno" > 25< / span > < span class = "preprocessor" > #include " ortools/math_opt/sparse_containers.pb.h" < / span > < / div >
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< div class = "line" > < a id = "l00026" name = "l00026" > < / a > < span class = "lineno" > 26< / span > < span class = "preprocessor" > #include " < a class = "code" href = "quadratic__program_8h.html" > ortools/pdlp/quadratic_program.h< / a > " < / span > < / div >
< div class = "line" > < a id = "l00027" name = "l00027" > < / a > < span class = "lineno" > 27< / span > < / div >
< div class = "line" > < a id = "l00028" name = "l00028" > < / a > < span class = "lineno" > 28< / span > < span class = "keyword" > namespace < / span > < a class = "code hl_namespace" href = "namespaceoperations__research.html" > operations_research< / a > {< / div >
< div class = "line" > < a id = "l00029" name = "l00029" > < / a > < span class = "lineno" > 29< / span > < span class = "keyword" > namespace < / span > < a class = "code hl_namespace" href = "namespaceoperations__research_1_1math__opt.html" > math_opt< / a > {< / div >
< div class = "line" > < a id = "l00030" name = "l00030" > < / a > < span class = "lineno" > 30< / span > < / div >
< div class = "line" > < a id = "l00031" name = "l00031" > < / a > < span class = "lineno" > 31< / span > < span class = "comment" > // Builds a PDLP model (QuadraticProgram) from ModelProto, and provides methods< / span > < / div >
< div class = "line" > < a id = "l00032" name = "l00032" > < / a > < span class = "lineno" > 32< / span > < span class = "comment" > // to translate solutions back and forth.< / span > < / div >
< div class = "line" > < a id = "l00033" name = "l00033" > < / a > < span class = "lineno" > 33< / span > < span class = "comment" > //< / span > < / div >
< div class = "line" > < a id = "l00034" name = "l00034" > < / a > < span class = "lineno" > 34< / span > < span class = "comment" > // The primary difference in the models are:< / span > < / div >
< div class = "line" > < a id = "l00035" name = "l00035" > < / a > < span class = "lineno" > 35< / span > < span class = "comment" > // 1. PDLP maps the variable/constraint ids to consecutive indices< / span > < / div >
< div class = "line" > < a id = "l00036" name = "l00036" > < / a > < span class = "lineno" > 36< / span > < span class = "comment" > // [0, 1, ..., n).< / span > < / div >
< div class = "line" > < a id = "l00037" name = "l00037" > < / a > < span class = "lineno" > 37< / span > < span class = "comment" > // 2. PDLP does not support maximization. If the ModelProto is a maximization< / span > < / div >
< div class = "line" > < a id = "l00038" name = "l00038" > < / a > < span class = "lineno" > 38< / span > < span class = "comment" > // problem, the objective is negated (coefficients and offset) before< / span > < / div >
< div class = "line" > < a id = "l00039" name = "l00039" > < / a > < span class = "lineno" > 39< / span > < span class = "comment" > // passing to PDLP. On the way back, the objective value, and all dual< / span > < / div >
< div class = "line" > < a id = "l00040" name = "l00040" > < / a > < span class = "lineno" > 40< / span > < span class = "comment" > // variables/reduced costs (also for rays) must be negated.< / span > < / div >
< div class = "line" > < a id = "l00041" name = "l00041" > < / a > < span class = "lineno" > 41< / span > < span class = "comment" > //< / span > < / div >
< div class = "line" > < a id = "l00042" name = "l00042" > < / a > < span class = "lineno" > 42< / span > < span class = "comment" > // Throughout, it is assumed that the MathOpt protos have been validated, but< / span > < / div >
< div class = "line" > < a id = "l00043" name = "l00043" > < / a > < span class = "lineno" > 43< / span > < span class = "comment" > // no assumption is made on the PDLP output. Any Status errors resulting from< / span > < / div >
< div class = "line" > < a id = "l00044" name = "l00044" > < / a > < span class = "lineno" > 44< / span > < span class = "comment" > // invalid PDLP output use the status code kInternal.< / span > < / div >
< div class = "line" > < a id = "l00045" name = "l00045" > < / a > < span class = "lineno" > < a class = "line" href = "classoperations__research_1_1math__opt_1_1_pdlp_bridge.html" > 45< / a > < / span > < span class = "keyword" > class < / span > < a class = "code hl_class" href = "classoperations__research_1_1math__opt_1_1_pdlp_bridge.html" > PdlpBridge< / a > {< / div >
< div class = "line" > < a id = "l00046" name = "l00046" > < / a > < span class = "lineno" > 46< / span > < span class = "keyword" > public< / span > :< / div >
< div class = "line" > < a id = "l00047" name = "l00047" > < / a > < span class = "lineno" > < a class = "line" href = "classoperations__research_1_1math__opt_1_1_pdlp_bridge.html#af58f656a8964c411736f6d460616f633" > 47< / a > < / span > < a class = "code hl_function" href = "classoperations__research_1_1math__opt_1_1_pdlp_bridge.html#af58f656a8964c411736f6d460616f633" > PdlpBridge< / a > () = < span class = "keywordflow" > default< / span > ;< / div >
< div class = "line" > < a id = "l00048" name = "l00048" > < / a > < span class = "lineno" > 48< / span > < span class = "keyword" > static< / span > absl::StatusOr< PdlpBridge> < a class = "code hl_function" href = "classoperations__research_1_1math__opt_1_1_pdlp_bridge.html#a474f1e8ad9a06a6cadd791176c3c2f28" > FromProto< / a > (< span class = "keyword" > const< / span > ModelProto& < a class = "code hl_variable" href = "cp__model__solver_8cc.html#a6ac76d8a372013f67c4973012948ec84" > model_proto< / a > );< / div >
< div class = "line" > < a id = "l00049" name = "l00049" > < / a > < span class = "lineno" > 49< / span > < / div >
< div class = "line" > < a id = "l00050" name = "l00050" > < / a > < span class = "lineno" > < a class = "line" href = "classoperations__research_1_1math__opt_1_1_pdlp_bridge.html#a03d9d0d381c0ea1de6a9a8bbd98741fc" > 50< / a > < / span > < span class = "keyword" > const< / span > < a class = "code hl_struct" href = "structoperations__research_1_1pdlp_1_1_quadratic_program.html" > pdlp::QuadraticProgram< / a > & < a class = "code hl_function" href = "classoperations__research_1_1math__opt_1_1_pdlp_bridge.html#a03d9d0d381c0ea1de6a9a8bbd98741fc" > pdlp_lp< / a > ()< span class = "keyword" > const < / span > { < span class = "keywordflow" > return< / span > pdlp_lp_; }< / div >
< div class = "line" > < a id = "l00051" name = "l00051" > < / a > < span class = "lineno" > 51< / span > < / div >
< div class = "line" > < a id = "l00052" name = "l00052" > < / a > < span class = "lineno" > 52< / span > < span class = "comment" > // Returns the ids of variables and linear constraints with inverted bounds.< / span > < / div >
< div class = "line" > < a id = "l00053" name = "l00053" > < / a > < span class = "lineno" > 53< / span > < a class = "code hl_struct" href = "structoperations__research_1_1math__opt_1_1_inverted_bounds.html" > InvertedBounds< / a > < a class = "code hl_function" href = "classoperations__research_1_1math__opt_1_1_pdlp_bridge.html#a58e05a4aed68759363618629771a4811" > ListInvertedBounds< / a > () < span class = "keyword" > const< / span > ;< / div >
< div class = "line" > < a id = "l00054" name = "l00054" > < / a > < span class = "lineno" > 54< / span > < / div >
< div class = "line" > < a id = "l00055" name = "l00055" > < / a > < span class = "lineno" > 55< / span > < span class = "comment" > // TODO(b/183616124): we need to support the inverse of these methods for< / span > < / div >
< div class = "line" > < a id = "l00056" name = "l00056" > < / a > < span class = "lineno" > 56< / span > < span class = "comment" > // warm start.< / span > < / div >
< div class = "line" > < a id = "l00057" name = "l00057" > < / a > < span class = "lineno" > 57< / span > absl::StatusOr< SparseDoubleVectorProto> < a class = "code hl_function" href = "classoperations__research_1_1math__opt_1_1_pdlp_bridge.html#a9796b82617a61e97132b3c0dab02c421" > PrimalVariablesToProto< / a > (< / div >
< div class = "line" > < a id = "l00058" name = "l00058" > < / a > < span class = "lineno" > 58< / span > < span class = "keyword" > const< / span > Eigen::VectorXd& primal_values,< / div >
< div class = "line" > < a id = "l00059" name = "l00059" > < / a > < span class = "lineno" > 59< / span > < span class = "keyword" > const< / span > SparseVectorFilterProto& variable_filter) < span class = "keyword" > const< / span > ;< / div >
< div class = "line" > < a id = "l00060" name = "l00060" > < / a > < span class = "lineno" > 60< / span > absl::StatusOr< SparseDoubleVectorProto> < a class = "code hl_function" href = "classoperations__research_1_1math__opt_1_1_pdlp_bridge.html#a10270e02f2bc4e3779fc3778385bd9b5" > DualVariablesToProto< / a > (< / div >
< div class = "line" > < a id = "l00061" name = "l00061" > < / a > < span class = "lineno" > 61< / span > < span class = "keyword" > const< / span > Eigen::VectorXd& dual_values,< / div >
< div class = "line" > < a id = "l00062" name = "l00062" > < / a > < span class = "lineno" > 62< / span > < span class = "keyword" > const< / span > SparseVectorFilterProto& linear_constraint_filter) < span class = "keyword" > const< / span > ;< / div >
< div class = "line" > < a id = "l00063" name = "l00063" > < / a > < span class = "lineno" > 63< / span > absl::StatusOr< SparseDoubleVectorProto> < a class = "code hl_function" href = "classoperations__research_1_1math__opt_1_1_pdlp_bridge.html#a9db862a60a5d6ef15cac238156a00816" > ReducedCostsToProto< / a > (< / div >
< div class = "line" > < a id = "l00064" name = "l00064" > < / a > < span class = "lineno" > 64< / span > < span class = "keyword" > const< / span > Eigen::VectorXd& reduced_costs,< / div >
< div class = "line" > < a id = "l00065" name = "l00065" > < / a > < span class = "lineno" > 65< / span > < span class = "keyword" > const< / span > SparseVectorFilterProto& variable_filter) < span class = "keyword" > const< / span > ;< / div >
< div class = "line" > < a id = "l00066" name = "l00066" > < / a > < span class = "lineno" > 66< / span > < / div >
< div class = "line" > < a id = "l00067" name = "l00067" > < / a > < span class = "lineno" > 67< / span > < span class = "keyword" > private< / span > :< / div >
< div class = "line" > < a id = "l00068" name = "l00068" > < / a > < span class = "lineno" > 68< / span > < a class = "code hl_struct" href = "structoperations__research_1_1pdlp_1_1_quadratic_program.html" > pdlp::QuadraticProgram< / a > pdlp_lp_;< / div >
< div class = "line" > < a id = "l00069" name = "l00069" > < / a > < span class = "lineno" > 69< / span > absl::flat_hash_map< int64_t, int64_t> var_id_to_pdlp_index_;< / div >
< div class = "line" > < a id = "l00070" name = "l00070" > < / a > < span class = "lineno" > 70< / span > < span class = "comment" > // NOTE: this vector is strictly increasing< / span > < / div >
< div class = "line" > < a id = "l00071" name = "l00071" > < / a > < span class = "lineno" > 71< / span > std::vector< int64_t> pdlp_index_to_var_id_;< / div >
< div class = "line" > < a id = "l00072" name = "l00072" > < / a > < span class = "lineno" > 72< / span > absl::flat_hash_map< int64_t, int64_t> lin_con_id_to_pdlp_index_;< / div >
< div class = "line" > < a id = "l00073" name = "l00073" > < / a > < span class = "lineno" > 73< / span > < span class = "comment" > // NOTE: this vector is strictly increasing< / span > < / div >
< div class = "line" > < a id = "l00074" name = "l00074" > < / a > < span class = "lineno" > 74< / span > std::vector< int64_t> pdlp_index_to_lin_con_id_;< / div >
< div class = "line" > < a id = "l00075" name = "l00075" > < / a > < span class = "lineno" > 75< / span > };< / div >
< div class = "line" > < a id = "l00076" name = "l00076" > < / a > < span class = "lineno" > 76< / span > < / div >
< div class = "line" > < a id = "l00077" name = "l00077" > < / a > < span class = "lineno" > 77< / span > } < span class = "comment" > // namespace math_opt< / span > < / div >
< div class = "line" > < a id = "l00078" name = "l00078" > < / a > < span class = "lineno" > 78< / span > } < span class = "comment" > // namespace operations_research< / span > < / div >
< div class = "line" > < a id = "l00079" name = "l00079" > < / a > < span class = "lineno" > 79< / span > < / div >
< div class = "line" > < a id = "l00080" name = "l00080" > < / a > < span class = "lineno" > 80< / span > < span class = "preprocessor" > #endif < / span > < span class = "comment" > // OR_TOOLS_MATH_OPT_SOLVERS_PDLP_BRIDGE_H_< / span > < / div >
< div class = "ttc" id = "aclassoperations__research_1_1math__opt_1_1_pdlp_bridge_html" > < div class = "ttname" > < a href = "classoperations__research_1_1math__opt_1_1_pdlp_bridge.html" > operations_research::math_opt::PdlpBridge< / a > < / div > < div class = "ttdef" > < b > Definition:< / b > < a href = "pdlp__bridge_8h_source.html#l00045" > pdlp_bridge.h:45< / a > < / div > < / div >
< div class = "ttc" id = "aclassoperations__research_1_1math__opt_1_1_pdlp_bridge_html_a03d9d0d381c0ea1de6a9a8bbd98741fc" > < div class = "ttname" > < a href = "classoperations__research_1_1math__opt_1_1_pdlp_bridge.html#a03d9d0d381c0ea1de6a9a8bbd98741fc" > operations_research::math_opt::PdlpBridge::pdlp_lp< / a > < / div > < div class = "ttdeci" > const pdlp::QuadraticProgram & pdlp_lp() const< / div > < div class = "ttdef" > < b > Definition:< / b > < a href = "pdlp__bridge_8h_source.html#l00050" > pdlp_bridge.h:50< / a > < / div > < / div >
< div class = "ttc" id = "aclassoperations__research_1_1math__opt_1_1_pdlp_bridge_html_a10270e02f2bc4e3779fc3778385bd9b5" > < div class = "ttname" > < a href = "classoperations__research_1_1math__opt_1_1_pdlp_bridge.html#a10270e02f2bc4e3779fc3778385bd9b5" > operations_research::math_opt::PdlpBridge::DualVariablesToProto< / a > < / div > < div class = "ttdeci" > absl::StatusOr< SparseDoubleVectorProto > DualVariablesToProto(const Eigen::VectorXd & dual_values, const SparseVectorFilterProto & linear_constraint_filter) const< / div > < div class = "ttdef" > < b > Definition:< / b > < a href = "pdlp__bridge_8cc_source.html#l00178" > pdlp_bridge.cc:178< / a > < / div > < / div >
< div class = "ttc" id = "aclassoperations__research_1_1math__opt_1_1_pdlp_bridge_html_a474f1e8ad9a06a6cadd791176c3c2f28" > < div class = "ttname" > < a href = "classoperations__research_1_1math__opt_1_1_pdlp_bridge.html#a474f1e8ad9a06a6cadd791176c3c2f28" > operations_research::math_opt::PdlpBridge::FromProto< / a > < / div > < div class = "ttdeci" > static absl::StatusOr< PdlpBridge > FromProto(const ModelProto & model_proto)< / div > < div class = "ttdef" > < b > Definition:< / b > < a href = "pdlp__bridge_8cc_source.html#l00061" > pdlp_bridge.cc:61< / a > < / div > < / div >
< div class = "ttc" id = "aclassoperations__research_1_1math__opt_1_1_pdlp_bridge_html_a58e05a4aed68759363618629771a4811" > < div class = "ttname" > < a href = "classoperations__research_1_1math__opt_1_1_pdlp_bridge.html#a58e05a4aed68759363618629771a4811" > operations_research::math_opt::PdlpBridge::ListInvertedBounds< / a > < / div > < div class = "ttdeci" > InvertedBounds ListInvertedBounds() const< / div > < div class = "ttdef" > < b > Definition:< / b > < a href = "pdlp__bridge_8cc_source.html#l00152" > pdlp_bridge.cc:152< / a > < / div > < / div >
< div class = "ttc" id = "aclassoperations__research_1_1math__opt_1_1_pdlp_bridge_html_a9796b82617a61e97132b3c0dab02c421" > < div class = "ttname" > < a href = "classoperations__research_1_1math__opt_1_1_pdlp_bridge.html#a9796b82617a61e97132b3c0dab02c421" > operations_research::math_opt::PdlpBridge::PrimalVariablesToProto< / a > < / div > < div class = "ttdeci" > absl::StatusOr< SparseDoubleVectorProto > PrimalVariablesToProto(const Eigen::VectorXd & primal_values, const SparseVectorFilterProto & variable_filter) const< / div > < div class = "ttdef" > < b > Definition:< / b > < a href = "pdlp__bridge_8cc_source.html#l00172" > pdlp_bridge.cc:172< / a > < / div > < / div >
< div class = "ttc" id = "aclassoperations__research_1_1math__opt_1_1_pdlp_bridge_html_a9db862a60a5d6ef15cac238156a00816" > < div class = "ttname" > < a href = "classoperations__research_1_1math__opt_1_1_pdlp_bridge.html#a9db862a60a5d6ef15cac238156a00816" > operations_research::math_opt::PdlpBridge::ReducedCostsToProto< / a > < / div > < div class = "ttdeci" > absl::StatusOr< SparseDoubleVectorProto > ReducedCostsToProto(const Eigen::VectorXd & reduced_costs, const SparseVectorFilterProto & variable_filter) const< / div > < div class = "ttdef" > < b > Definition:< / b > < a href = "pdlp__bridge_8cc_source.html#l00185" > pdlp_bridge.cc:185< / a > < / div > < / div >
2022-01-17 21:42:14 +01:00
< div class = "ttc" id = "aclassoperations__research_1_1math__opt_1_1_pdlp_bridge_html_af58f656a8964c411736f6d460616f633" > < div class = "ttname" > < a href = "classoperations__research_1_1math__opt_1_1_pdlp_bridge.html#af58f656a8964c411736f6d460616f633" > operations_research::math_opt::PdlpBridge::PdlpBridge< / a > < / div > < div class = "ttdeci" > PdlpBridge()=default< / div > < / div >
2022-03-04 00:11:33 +01:00
< div class = "ttc" id = "acp__model__solver_8cc_html_a6ac76d8a372013f67c4973012948ec84" > < div class = "ttname" > < a href = "cp__model__solver_8cc.html#a6ac76d8a372013f67c4973012948ec84" > model_proto< / a > < / div > < div class = "ttdeci" > CpModelProto const * model_proto< / div > < div class = "ttdef" > < b > Definition:< / b > < a href = "cp__model__solver_8cc_source.html#l02048" > cp_model_solver.cc:2048< / a > < / div > < / div >
< div class = "ttc" id = "ainverted__bounds_8h_html" > < div class = "ttname" > < a href = "inverted__bounds_8h.html" > inverted_bounds.h< / a > < / div > < / div >
2022-01-17 21:42:14 +01:00
< div class = "ttc" id = "anamespaceoperations__research_1_1math__opt_html" > < div class = "ttname" > < a href = "namespaceoperations__research_1_1math__opt.html" > operations_research::math_opt< / a > < / div > < div class = "ttdef" > < b > Definition:< / b > < a href = "arrow__operator__proxy_8h_source.html#l00020" > arrow_operator_proxy.h:20< / a > < / div > < / div >
< div class = "ttc" id = "anamespaceoperations__research_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 >
2022-03-04 00:11:33 +01:00
< div class = "ttc" id = "aquadratic__program_8h_html" > < div class = "ttname" > < a href = "quadratic__program_8h.html" > quadratic_program.h< / a > < / div > < / div >
< div class = "ttc" id = "astructoperations__research_1_1math__opt_1_1_inverted_bounds_html" > < div class = "ttname" > < a href = "structoperations__research_1_1math__opt_1_1_inverted_bounds.html" > operations_research::math_opt::InvertedBounds< / a > < / div > < div class = "ttdef" > < b > Definition:< / b > < a href = "inverted__bounds_8h_source.html#l00032" > inverted_bounds.h:32< / a > < / div > < / div >
< div class = "ttc" id = "astructoperations__research_1_1pdlp_1_1_quadratic_program_html" > < div class = "ttname" > < a href = "structoperations__research_1_1pdlp_1_1_quadratic_program.html" > operations_research::pdlp::QuadraticProgram< / a > < / div > < div class = "ttdef" > < b > Definition:< / b > < a href = "quadratic__program_8h_source.html#l00054" > quadratic_program.h:54< / a > < / div > < / div >
2022-01-17 21:42:14 +01:00
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