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< a href = "basic__example_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 >
< 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 = "comment" > // Testing correctness of the code snippets in the comments of math_opt.h.< / 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 < iostream> < / span > < / div >
< div class = "line" > < a id = "l00017" name = "l00017" > < / a > < span class = "lineno" > 17< / span > < span class = "preprocessor" > #include < limits> < / 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 = "preprocessor" > #include " absl/flags/parse.h" < / span > < / div >
< div class = "line" > < a id = "l00020" name = "l00020" > < / a > < span class = "lineno" > 20< / span > < span class = "preprocessor" > #include " absl/flags/usage.h" < / span > < / div >
< div class = "line" > < a id = "l00021" name = "l00021" > < / a > < span class = "lineno" > 21< / span > < span class = "preprocessor" > #include " absl/status/statusor.h" < / span > < / div >
< div class = "line" > < a id = "l00022" name = "l00022" > < / a > < span class = "lineno" > 22< / span > < span class = "preprocessor" > #include " < a class = "code" href = "base_2logging_8h.html" > ortools/base/logging.h< / a > " < / span > < / div >
< div class = "line" > < a id = "l00023" name = "l00023" > < / a > < span class = "lineno" > 23< / span > < span class = "preprocessor" > #include " < a class = "code" href = "math__opt_8h.html" > ortools/math_opt/cpp/math_opt.h< / a > " < / span > < / div >
< div class = "line" > < a id = "l00024" name = "l00024" > < / a > < span class = "lineno" > 24< / span > < / div >
< div class = "line" > < a id = "l00025" name = "l00025" > < / a > < span class = "lineno" > 25< / span > < span class = "keyword" > namespace < / span > {< / div >
< div class = "line" > < a id = "l00026" name = "l00026" > < / a > < span class = "lineno" > 26< / span > < / div >
< div class = "line" > < a id = "l00027" name = "l00027" > < / a > < span class = "lineno" > 27< / span > < span class = "comment" > // Model the problem:< / span > < / div >
< div class = "line" > < a id = "l00028" name = "l00028" > < / a > < span class = "lineno" > 28< / span > < span class = "comment" > // max 2.0 * x + y< / span > < / div >
< div class = "line" > < a id = "l00029" name = "l00029" > < / a > < span class = "lineno" > 29< / span > < span class = "comment" > // s.t. x + y < = 1.5< / span > < / div >
< div class = "line" > < a id = "l00030" name = "l00030" > < / a > < span class = "lineno" > 30< / span > < span class = "comment" > // x in {0.0, 1.0}< / span > < / div >
< div class = "line" > < a id = "l00031" name = "l00031" > < / a > < span class = "lineno" > 31< / span > < span class = "comment" > // y in [0.0, 2.5]< / span > < / div >
< div class = "line" > < a id = "l00032" name = "l00032" > < / a > < span class = "lineno" > 32< / span > < span class = "comment" > //< / span > < / div >
< div class = "line" > < a id = "l00033" name = "l00033" > < / a > < span class = "lineno" > 33< / span > < / div >
< div class = "line" > < a id = "l00034" name = "l00034" > < / a > < span class = "lineno" > 34< / span > < span class = "keywordtype" > void< / span > SolveVersion1() {< / div >
< div class = "line" > < a id = "l00035" name = "l00035" > < / a > < span class = "lineno" > 35< / span > using ::operations_research::math_opt::LinearConstraint;< / div >
< div class = "line" > < a id = "l00036" name = "l00036" > < / a > < span class = "lineno" > 36< / span > using ::operations_research::math_opt::MathOpt;< / div >
< div class = "line" > < a id = "l00037" name = "l00037" > < / a > < span class = "lineno" > 37< / span > using ::operations_research::math_opt::Objective;< / div >
< div class = "line" > < a id = "l00038" name = "l00038" > < / a > < span class = "lineno" > 38< / span > using ::operations_research::math_opt::Result;< / div >
< div class = "line" > < a id = "l00039" name = "l00039" > < / a > < span class = "lineno" > 39< / span > using ::operations_research::math_opt::SolveParametersProto;< / div >
< div class = "line" > < a id = "l00040" name = "l00040" > < / a > < span class = "lineno" > 40< / span > using ::operations_research::math_opt::SolveResultProto;< / div >
< div class = "line" > < a id = "l00041" name = "l00041" > < / a > < span class = "lineno" > 41< / span > using ::operations_research::math_opt::Variable;< / 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 > MathOpt optimizer(operations_research::math_opt::SOLVER_TYPE_GSCIP,< / div >
< div class = "line" > < a id = "l00044" name = "l00044" > < / a > < span class = "lineno" > 44< / span > < span class = "stringliteral" > " my_model" < / span > );< / div >
< div class = "line" > < a id = "l00045" name = "l00045" > < / a > < span class = "lineno" > 45< / span > < span class = "keyword" > const< / span > Variable x = optimizer.AddBinaryVariable(< span class = "stringliteral" > " x" < / span > );< / div >
< div class = "line" > < a id = "l00046" name = "l00046" > < / a > < span class = "lineno" > 46< / span > < span class = "keyword" > const< / span > Variable y = optimizer.AddContinuousVariable(0.0, 2.5, < span class = "stringliteral" > " y" < / span > );< / div >
< div class = "line" > < a id = "l00047" name = "l00047" > < / a > < span class = "lineno" > 47< / span > < span class = "keyword" > const< / span > LinearConstraint c = optimizer.AddLinearConstraint(< / div >
< div class = "line" > < a id = "l00048" name = "l00048" > < / a > < span class = "lineno" > 48< / span > -std::numeric_limits< double> ::infinity(), 1.5, < span class = "stringliteral" > " c" < / span > );< / div >
< div class = "line" > < a id = "l00049" name = "l00049" > < / a > < span class = "lineno" > 49< / span > c.set_coefficient(x, 1.0);< / div >
< div class = "line" > < a id = "l00050" name = "l00050" > < / a > < span class = "lineno" > 50< / span > c.set_coefficient(y, 1.0);< / div >
< div class = "line" > < a id = "l00051" name = "l00051" > < / a > < span class = "lineno" > 51< / span > < span class = "keyword" > const< / span > Objective obj = optimizer.objective();< / div >
< div class = "line" > < a id = "l00052" name = "l00052" > < / a > < span class = "lineno" > 52< / span > obj.set_linear_coefficient(x, 2.0);< / div >
< div class = "line" > < a id = "l00053" name = "l00053" > < / a > < span class = "lineno" > 53< / span > obj.set_linear_coefficient(y, 1.0);< / div >
< div class = "line" > < a id = "l00054" name = "l00054" > < / a > < span class = "lineno" > 54< / span > obj.set_maximize();< / div >
< div class = "line" > < a id = "l00055" name = "l00055" > < / a > < span class = "lineno" > 55< / span > < span class = "keyword" > const< / span > Result result = optimizer.Solve(SolveParametersProto()).value();< / div >
< div class = "line" > < a id = "l00056" name = "l00056" > < / a > < span class = "lineno" > 56< / span > < span class = "keywordflow" > for< / span > (< span class = "keyword" > const< / span > < span class = "keyword" > auto< / span > & warning : result.warnings) {< / div >
< div class = "line" > < a id = "l00057" name = "l00057" > < / a > < span class = "lineno" > 57< / span > std::cerr < < < span class = "stringliteral" > " Solver warning: " < / span > < < warning < < std::endl;< / 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 > < a class = "code hl_define" href = "base_2logging_8h.html#a7c0ce053b28d53aa4eaf3eb7fb71663b" > CHECK_EQ< / a > (result.termination_reason, < a class = "code hl_enumvalue" href = "namespaceoperations__research_1_1packing_1_1vbp.html#a4604191fbd84a43686f44c25d7bd0161a2579881e7c83261bc21bafb5a5c92cad" > SolveResultProto::OPTIMAL< / a > )< / div >
< div class = "line" > < a id = "l00060" name = "l00060" > < / a > < span class = "lineno" > 60< / span > < < result.termination_detail;< / div >
< div class = "line" > < a id = "l00061" name = "l00061" > < / a > < span class = "lineno" > 61< / span > < span class = "comment" > // The following code will print:< / span > < / div >
< div class = "line" > < a id = "l00062" name = "l00062" > < / a > < span class = "lineno" > 62< / span > < span class = "comment" > // objective value: 2.5< / span > < / div >
< div class = "line" > < a id = "l00063" name = "l00063" > < / a > < span class = "lineno" > 63< / span > < span class = "comment" > // value for variable x: 1< / span > < / div >
< div class = "line" > < a id = "l00064" name = "l00064" > < / a > < span class = "lineno" > 64< / span > std::cout < < < span class = "stringliteral" > " objective value: " < / span > < < result.objective_value()< / div >
< div class = "line" > < a id = "l00065" name = "l00065" > < / a > < span class = "lineno" > 65< / span > < < < span class = "stringliteral" > " \nvalue for variable x: " < / span > < < result.variable_values().at(x)< / div >
< div class = "line" > < a id = "l00066" name = "l00066" > < / a > < span class = "lineno" > 66< / span > < < std::endl;< / div >
< div class = "line" > < a id = "l00067" name = "l00067" > < / a > < span class = "lineno" > 67< / span > }< / 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 > < span class = "keywordtype" > void< / span > SolveVersion2() {< / div >
< div class = "line" > < a id = "l00070" name = "l00070" > < / a > < span class = "lineno" > 70< / span > using ::operations_research::math_opt::LinearExpression;< / div >
< div class = "line" > < a id = "l00071" name = "l00071" > < / a > < span class = "lineno" > 71< / span > using ::operations_research::math_opt::MathOpt;< / div >
< div class = "line" > < a id = "l00072" name = "l00072" > < / a > < span class = "lineno" > 72< / span > using ::operations_research::math_opt::Result;< / div >
< div class = "line" > < a id = "l00073" name = "l00073" > < / a > < span class = "lineno" > 73< / span > using ::operations_research::math_opt::SolveParametersProto;< / div >
< div class = "line" > < a id = "l00074" name = "l00074" > < / a > < span class = "lineno" > 74< / span > using ::operations_research::math_opt::SolveResultProto;< / div >
< div class = "line" > < a id = "l00075" name = "l00075" > < / a > < span class = "lineno" > 75< / span > using ::operations_research::math_opt::Variable;< / 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 > MathOpt optimizer(operations_research::math_opt::SOLVER_TYPE_GSCIP,< / div >
< div class = "line" > < a id = "l00078" name = "l00078" > < / a > < span class = "lineno" > 78< / span > < span class = "stringliteral" > " my_model" < / span > );< / div >
< div class = "line" > < a id = "l00079" name = "l00079" > < / a > < span class = "lineno" > 79< / span > < span class = "keyword" > const< / span > Variable x = optimizer.AddBinaryVariable(< span class = "stringliteral" > " x" < / span > );< / div >
< div class = "line" > < a id = "l00080" name = "l00080" > < / a > < span class = "lineno" > 80< / span > < span class = "keyword" > const< / span > Variable y = optimizer.AddContinuousVariable(0.0, 2.5, < span class = "stringliteral" > " y" < / span > );< / div >
< div class = "line" > < a id = "l00081" name = "l00081" > < / a > < span class = "lineno" > 81< / span > < span class = "comment" > // We can directly use linear combinations of variables ...< / span > < / div >
< div class = "line" > < a id = "l00082" name = "l00082" > < / a > < span class = "lineno" > 82< / span > optimizer.AddLinearConstraint(x + y < = 1.5, < span class = "stringliteral" > " c" < / span > );< / div >
< div class = "line" > < a id = "l00083" name = "l00083" > < / a > < span class = "lineno" > 83< / span > < span class = "comment" > // ... or build them incrementally.< / span > < / div >
< div class = "line" > < a id = "l00084" name = "l00084" > < / a > < span class = "lineno" > 84< / span > LinearExpression objective_expression;< / div >
< div class = "line" > < a id = "l00085" name = "l00085" > < / a > < span class = "lineno" > 85< / span > objective_expression += 2 * x;< / div >
< div class = "line" > < a id = "l00086" name = "l00086" > < / a > < span class = "lineno" > 86< / span > objective_expression += y;< / div >
< div class = "line" > < a id = "l00087" name = "l00087" > < / a > < span class = "lineno" > 87< / span > optimizer.objective().Maximize(objective_expression);< / div >
< div class = "line" > < a id = "l00088" name = "l00088" > < / a > < span class = "lineno" > 88< / span > < span class = "keyword" > const< / span > Result result = optimizer.Solve(SolveParametersProto()).value();< / div >
< div class = "line" > < a id = "l00089" name = "l00089" > < / a > < span class = "lineno" > 89< / span > < span class = "keywordflow" > for< / span > (< span class = "keyword" > const< / span > < span class = "keyword" > auto< / span > & warning : result.warnings) {< / div >
< div class = "line" > < a id = "l00090" name = "l00090" > < / a > < span class = "lineno" > 90< / span > std::cerr < < < span class = "stringliteral" > " Solver warning: " < / span > < < warning < < std::endl;< / div >
< div class = "line" > < a id = "l00091" name = "l00091" > < / a > < span class = "lineno" > 91< / span > }< / div >
< div class = "line" > < a id = "l00092" name = "l00092" > < / a > < span class = "lineno" > 92< / span > < a class = "code hl_define" href = "base_2logging_8h.html#a7c0ce053b28d53aa4eaf3eb7fb71663b" > CHECK_EQ< / a > (result.termination_reason, < a class = "code hl_enumvalue" href = "namespaceoperations__research_1_1packing_1_1vbp.html#a4604191fbd84a43686f44c25d7bd0161a2579881e7c83261bc21bafb5a5c92cad" > SolveResultProto::OPTIMAL< / a > )< / div >
< div class = "line" > < a id = "l00093" name = "l00093" > < / a > < span class = "lineno" > 93< / span > < < result.termination_detail;< / div >
< div class = "line" > < a id = "l00094" name = "l00094" > < / a > < span class = "lineno" > 94< / span > < span class = "comment" > // The following code will print:< / span > < / div >
< div class = "line" > < a id = "l00095" name = "l00095" > < / a > < span class = "lineno" > 95< / span > < span class = "comment" > // objective value: 2.5< / span > < / div >
< div class = "line" > < a id = "l00096" name = "l00096" > < / a > < span class = "lineno" > 96< / span > < span class = "comment" > // value for variable x: 1< / span > < / div >
< div class = "line" > < a id = "l00097" name = "l00097" > < / a > < span class = "lineno" > 97< / span > std::cout < < < span class = "stringliteral" > " objective value: " < / span > < < result.objective_value()< / div >
< div class = "line" > < a id = "l00098" name = "l00098" > < / a > < span class = "lineno" > 98< / span > < < < span class = "stringliteral" > " \nvalue for variable x: " < / span > < < result.variable_values().at(x)< / div >
< div class = "line" > < a id = "l00099" name = "l00099" > < / a > < span class = "lineno" > 99< / span > < < std::endl;< / div >
< div class = "line" > < a id = "l00100" name = "l00100" > < / a > < span class = "lineno" > 100< / span > }< / div >
< div class = "line" > < a id = "l00101" name = "l00101" > < / a > < span class = "lineno" > 101< / span > } < span class = "comment" > // namespace< / span > < / div >
< div class = "line" > < a id = "l00102" name = "l00102" > < / a > < span class = "lineno" > 102< / span > < / div >
< div class = "line" > < a id = "l00103" name = "l00103" > < / a > < span class = "lineno" > < a class = "line" href = "basic__example_8cc.html#a3c04138a5bfe5d72780bb7e82a18e627" > 103< / a > < / span > < span class = "keywordtype" > int< / span > < a class = "code hl_function" href = "basic__example_8cc.html#a3c04138a5bfe5d72780bb7e82a18e627" > main< / a > (< span class = "keywordtype" > int< / span > argc, < span class = "keywordtype" > char< / span > ** argv) {< / div >
< div class = "line" > < a id = "l00104" name = "l00104" > < / a > < span class = "lineno" > 104< / span > < a class = "code hl_function" href = "namespacegoogle.html#a1749056ff206ebc4f581e6bc0bae841d" > google::InitGoogleLogging< / a > (argv[0]);< / div >
< div class = "line" > < a id = "l00105" name = "l00105" > < / a > < span class = "lineno" > 105< / span > absl::ParseCommandLine(argc, argv);< / div >
< div class = "line" > < a id = "l00106" name = "l00106" > < / a > < span class = "lineno" > 106< / span > SolveVersion1();< / div >
< div class = "line" > < a id = "l00107" name = "l00107" > < / a > < span class = "lineno" > 107< / span > SolveVersion2();< / div >
< div class = "line" > < a id = "l00108" name = "l00108" > < / a > < span class = "lineno" > 108< / span > < span class = "keywordflow" > return< / span > 0;< / div >
< div class = "line" > < a id = "l00109" name = "l00109" > < / a > < span class = "lineno" > 109< / span > }< / div >
< div class = "ttc" id = "abase_2logging_8h_html" > < div class = "ttname" > < a href = "base_2logging_8h.html" > logging.h< / a > < / div > < / div >
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< div class = "ttc" id = "abase_2logging_8h_html_a7c0ce053b28d53aa4eaf3eb7fb71663b" > < div class = "ttname" > < a href = "base_2logging_8h.html#a7c0ce053b28d53aa4eaf3eb7fb71663b" > CHECK_EQ< / a > < / div > < div class = "ttdeci" > #define CHECK_EQ(val1, val2)< / div > < div class = "ttdef" > < b > Definition:< / b > < a href = "base_2logging_8h_source.html#l00699" > base/logging.h:699< / a > < / div > < / div >
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< div class = "ttc" id = "abasic__example_8cc_html_a3c04138a5bfe5d72780bb7e82a18e627" > < div class = "ttname" > < a href = "basic__example_8cc.html#a3c04138a5bfe5d72780bb7e82a18e627" > main< / a > < / div > < div class = "ttdeci" > int main(int argc, char **argv)< / div > < div class = "ttdef" > < b > Definition:< / b > < a href = "basic__example_8cc_source.html#l00103" > basic_example.cc:103< / a > < / div > < / div >
< div class = "ttc" id = "amath__opt_8h_html" > < div class = "ttname" > < a href = "math__opt_8h.html" > math_opt.h< / a > < / div > < / div >
< div class = "ttc" id = "anamespacegoogle_html_a1749056ff206ebc4f581e6bc0bae841d" > < div class = "ttname" > < a href = "namespacegoogle.html#a1749056ff206ebc4f581e6bc0bae841d" > google::InitGoogleLogging< / a > < / div > < div class = "ttdeci" > void InitGoogleLogging(const char *argv0)< / div > < div class = "ttdef" > < b > Definition:< / b > < a href = "base_2logging_8cc_source.html#l01873" > base/logging.cc:1873< / a > < / div > < / div >
< div class = "ttc" id = "anamespaceoperations__research_1_1packing_1_1vbp_html_a4604191fbd84a43686f44c25d7bd0161a2579881e7c83261bc21bafb5a5c92cad" > < div class = "ttname" > < a href = "namespaceoperations__research_1_1packing_1_1vbp.html#a4604191fbd84a43686f44c25d7bd0161a2579881e7c83261bc21bafb5a5c92cad" > operations_research::packing::vbp::OPTIMAL< / a > < / div > < div class = "ttdeci" > @ OPTIMAL< / div > < div class = "ttdef" > < b > Definition:< / b > < a href = "vector__bin__packing_8pb_8h_source.html#l00087" > vector_bin_packing.pb.h:87< / a > < / div > < / div >
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< li class = "navelem" > < a class = "el" href = "dir_a7cc1eeded8f693d0da6c729bc88c45a.html" > ortools< / a > < / li > < li class = "navelem" > < a class = "el" href = "dir_1defc00030ff81d309105e053121082f.html" > math_opt< / a > < / li > < li class = "navelem" > < a class = "el" href = "dir_78fcc6012c6d52c0cff71d4892279593.html" > samples< / a > < / li > < li class = "navelem" > < a class = "el" href = "basic__example_8cc.html" > basic_example.cc< / a > < / li >
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