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< a href = "hungarian_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 = "preprocessor" > #include " < a class = "code" href = "hungarian_8h.html" > ortools/algorithms/hungarian.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 < algorithm> < / span > < / div >
< div class = "line" > < a id = "l00017" name = "l00017" > < / a > < span class = "lineno" > 17< / span > < span class = "preprocessor" > #include < cstdio> < / span > < / div >
< div class = "line" > < a id = "l00018" name = "l00018" > < / a > < span class = "lineno" > 18< / span > < span class = "preprocessor" > #include < limits> < / span > < / div >
< div class = "line" > < a id = "l00019" name = "l00019" > < / a > < span class = "lineno" > 19< / span > < / div >
< div class = "line" > < a id = "l00020" name = "l00020" > < / a > < span class = "lineno" > 20< / span > < span class = "preprocessor" > #include " absl/strings/str_format.h" < / span > < / div >
< div class = "line" > < a id = "l00021" name = "l00021" > < / a > < span class = "lineno" > 21< / 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 = "l00022" name = "l00022" > < / a > < span class = "lineno" > 22< / span > < / div >
< div class = "line" > < a id = "l00023" name = "l00023" > < / a > < span class = "lineno" > 23< / span > < span class = "keyword" > namespace < / span > < a class = "code hl_namespace" href = "namespaceoperations__research.html" > operations_research< / a > {< / 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" > < a class = "line" href = "classoperations__research_1_1_hungarian_optimizer.html" > 25< / a > < / span > < span class = "keyword" > class < / span > < a class = "code hl_class" href = "classoperations__research_1_1_hungarian_optimizer.html" > HungarianOptimizer< / a > {< / div >
< div class = "line" > < a id = "l00026" name = "l00026" > < / a > < span class = "lineno" > 26< / span > < span class = "keyword" > static< / span > < span class = "keyword" > constexpr< / span > < span class = "keywordtype" > int< / span > kHungarianOptimizerRowNotFound = -1;< / div >
< div class = "line" > < a id = "l00027" name = "l00027" > < / a > < span class = "lineno" > 27< / span > < span class = "keyword" > static< / span > < span class = "keyword" > constexpr< / span > < span class = "keywordtype" > int< / span > kHungarianOptimizerColNotFound = -2;< / div >
< div class = "line" > < a id = "l00028" name = "l00028" > < / a > < span class = "lineno" > 28< / span > < / div >
< div class = "line" > < a id = "l00029" name = "l00029" > < / a > < span class = "lineno" > 29< / span > < span class = "keyword" > public< / span > :< / div >
< div class = "line" > < a id = "l00030" name = "l00030" > < / a > < span class = "lineno" > 30< / span > < span class = "comment" > // Setup the initial conditions for the algorithm.< / span > < / div >
< div class = "line" > < a id = "l00031" name = "l00031" > < / a > < span class = "lineno" > 31< / span > < / div >
< div class = "line" > < a id = "l00032" name = "l00032" > < / a > < span class = "lineno" > 32< / span > < span class = "comment" > // Parameters: costs is a matrix of the cost of assigning each agent to< / span > < / div >
< div class = "line" > < a id = "l00033" name = "l00033" > < / a > < span class = "lineno" > 33< / span > < span class = "comment" > // each task. costs[i][j] is the cost of assigning agent i to task j.< / span > < / div >
< div class = "line" > < a id = "l00034" name = "l00034" > < / a > < span class = "lineno" > 34< / span > < span class = "comment" > // All the costs must be non-negative. This matrix does not have to< / span > < / div >
< div class = "line" > < a id = "l00035" name = "l00035" > < / a > < span class = "lineno" > 35< / span > < span class = "comment" > // be square (i.e. we can have different numbers of agents and tasks), but it< / span > < / div >
< div class = "line" > < a id = "l00036" name = "l00036" > < / a > < span class = "lineno" > 36< / span > < span class = "comment" > // must be regular (i.e. there must be the same number of entries in each row< / span > < / div >
< div class = "line" > < a id = "l00037" name = "l00037" > < / a > < span class = "lineno" > 37< / span > < span class = "comment" > // of the matrix).< / span > < / div >
< div class = "line" > < a id = "l00038" name = "l00038" > < / a > < span class = "lineno" > 38< / span > < span class = "keyword" > explicit< / span > < a class = "code hl_function" href = "classoperations__research_1_1_hungarian_optimizer.html#aa455dc213fea4e36d805f75f9c196157" > HungarianOptimizer< / a > (< span class = "keyword" > const< / span > std::vector< std::vector< double> > & costs);< / div >
< div class = "line" > < a id = "l00039" name = "l00039" > < / a > < span class = "lineno" > 39< / span > < / div >
< div class = "line" > < a id = "l00040" name = "l00040" > < / a > < span class = "lineno" > 40< / span > < span class = "comment" > // Find an assignment which maximizes the total cost.< / span > < / div >
< div class = "line" > < a id = "l00041" name = "l00041" > < / a > < span class = "lineno" > 41< / span > < span class = "comment" > // Returns the assignment in the two vectors passed as argument.< / span > < / div >
< div class = "line" > < a id = "l00042" name = "l00042" > < / a > < span class = "lineno" > 42< / span > < span class = "comment" > // preimage[i] is assigned to image[i].< / span > < / div >
< div class = "line" > < a id = "l00043" name = "l00043" > < / a > < span class = "lineno" > 43< / span > < span class = "keywordtype" > void< / span > < a class = "code hl_function" href = "classoperations__research_1_1_hungarian_optimizer.html#af9f5df225aff9d876650f829050f78e9" > Maximize< / a > (std::vector< int> * preimage, std::vector< int> * image);< / div >
< div class = "line" > < a id = "l00044" name = "l00044" > < / a > < span class = "lineno" > 44< / span > < / div >
< div class = "line" > < a id = "l00045" name = "l00045" > < / a > < span class = "lineno" > 45< / span > < span class = "comment" > // Like Maximize(), but minimizing the cost instead.< / span > < / div >
< div class = "line" > < a id = "l00046" name = "l00046" > < / a > < span class = "lineno" > 46< / span > < span class = "keywordtype" > void< / span > < a class = "code hl_function" href = "classoperations__research_1_1_hungarian_optimizer.html#ab14e1591074136eb2ae00cae73c92002" > Minimize< / a > (std::vector< int> * preimage, std::vector< int> * image);< / 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 > < span class = "keyword" > private< / span > :< / div >
< div class = "line" > < a id = "l00049" name = "l00049" > < / a > < span class = "lineno" > 49< / span > < span class = "keyword" > typedef< / span > void (< a class = "code hl_class" href = "classoperations__research_1_1_hungarian_optimizer.html" > HungarianOptimizer< / a > ::*Step)();< / div >
< div class = "line" > < a id = "l00050" name = "l00050" > < / a > < span class = "lineno" > 50< / span > < / div >
< div class = "line" > < a id = "l00051" name = "l00051" > < / a > < span class = "lineno" > 51< / span > < span class = "keyword" > typedef< / span > < span class = "keyword" > enum< / span > { NONE, PRIME, STAR } Mark;< / div >
< div class = "line" > < a id = "l00052" name = "l00052" > < / a > < span class = "lineno" > 52< / span > < / div >
< div class = "line" > < a id = "l00053" name = "l00053" > < / a > < span class = "lineno" > 53< / span > < span class = "comment" > // Convert the final cost matrix into a set of assignments of preimage-> image.< / span > < / div >
< div class = "line" > < a id = "l00054" name = "l00054" > < / a > < span class = "lineno" > 54< / span > < span class = "comment" > // Returns the assignment in the two vectors passed as argument, the same as< / span > < / div >
< div class = "line" > < a id = "l00055" name = "l00055" > < / a > < span class = "lineno" > 55< / span > < span class = "comment" > // Minimize and Maximize< / span > < / div >
< div class = "line" > < a id = "l00056" name = "l00056" > < / a > < span class = "lineno" > 56< / span > < span class = "keywordtype" > void< / span > FindAssignments(std::vector< int> * preimage, std::vector< int> * image);< / 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 > < span class = "comment" > // Is the cell (row, col) starred?< / span > < / div >
< div class = "line" > < a id = "l00059" name = "l00059" > < / a > < span class = "lineno" > 59< / span > < span class = "keywordtype" > bool< / span > IsStarred(< span class = "keywordtype" > int< / span > < a class = "code hl_variable" href = "markowitz_8cc.html#aea35f36ba98d5bbd8d033382f50c9e52" > row< / a > , < span class = "keywordtype" > int< / span > < a class = "code hl_variable" href = "markowitz_8cc.html#aa9d6c98fdf8d89b0e2321fda02adc82c" > col< / a > )< span class = "keyword" > const < / span > { < span class = "keywordflow" > return< / span > marks_[< a class = "code hl_variable" href = "markowitz_8cc.html#aea35f36ba98d5bbd8d033382f50c9e52" > row< / a > ][< a class = "code hl_variable" href = "markowitz_8cc.html#aa9d6c98fdf8d89b0e2321fda02adc82c" > col< / a > ] == STAR; }< / div >
< div class = "line" > < a id = "l00060" name = "l00060" > < / a > < span class = "lineno" > 60< / span > < / div >
< div class = "line" > < a id = "l00061" name = "l00061" > < / a > < span class = "lineno" > 61< / span > < span class = "comment" > // Mark cell (row, col) with a star< / span > < / div >
< div class = "line" > < a id = "l00062" name = "l00062" > < / a > < span class = "lineno" > 62< / span > < span class = "keywordtype" > void< / span > Star(< span class = "keywordtype" > int< / span > < a class = "code hl_variable" href = "markowitz_8cc.html#aea35f36ba98d5bbd8d033382f50c9e52" > row< / a > , < span class = "keywordtype" > int< / span > < a class = "code hl_variable" href = "markowitz_8cc.html#aa9d6c98fdf8d89b0e2321fda02adc82c" > col< / a > ) {< / div >
< div class = "line" > < a id = "l00063" name = "l00063" > < / a > < span class = "lineno" > 63< / span > marks_[< a class = "code hl_variable" href = "markowitz_8cc.html#aea35f36ba98d5bbd8d033382f50c9e52" > row< / a > ][< a class = "code hl_variable" href = "markowitz_8cc.html#aa9d6c98fdf8d89b0e2321fda02adc82c" > col< / a > ] = STAR;< / div >
< div class = "line" > < a id = "l00064" name = "l00064" > < / a > < span class = "lineno" > 64< / span > stars_in_col_[< a class = "code hl_variable" href = "markowitz_8cc.html#aa9d6c98fdf8d89b0e2321fda02adc82c" > col< / a > ]++;< / div >
< div class = "line" > < a id = "l00065" name = "l00065" > < / a > < span class = "lineno" > 65< / 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 = "comment" > // Remove a star from cell (row, col)< / span > < / div >
< div class = "line" > < a id = "l00068" name = "l00068" > < / a > < span class = "lineno" > 68< / span > < span class = "keywordtype" > void< / span > UnStar(< span class = "keywordtype" > int< / span > < a class = "code hl_variable" href = "markowitz_8cc.html#aea35f36ba98d5bbd8d033382f50c9e52" > row< / a > , < span class = "keywordtype" > int< / span > < a class = "code hl_variable" href = "markowitz_8cc.html#aa9d6c98fdf8d89b0e2321fda02adc82c" > col< / a > ) {< / div >
< div class = "line" > < a id = "l00069" name = "l00069" > < / a > < span class = "lineno" > 69< / span > marks_[< a class = "code hl_variable" href = "markowitz_8cc.html#aea35f36ba98d5bbd8d033382f50c9e52" > row< / a > ][< a class = "code hl_variable" href = "markowitz_8cc.html#aa9d6c98fdf8d89b0e2321fda02adc82c" > col< / a > ] = NONE;< / div >
< div class = "line" > < a id = "l00070" name = "l00070" > < / a > < span class = "lineno" > 70< / span > stars_in_col_[< a class = "code hl_variable" href = "markowitz_8cc.html#aa9d6c98fdf8d89b0e2321fda02adc82c" > col< / a > ]--;< / div >
< div class = "line" > < a id = "l00071" name = "l00071" > < / a > < span class = "lineno" > 71< / span > }< / div >
< div class = "line" > < a id = "l00072" name = "l00072" > < / a > < span class = "lineno" > 72< / span > < / div >
< div class = "line" > < a id = "l00073" name = "l00073" > < / a > < span class = "lineno" > 73< / span > < span class = "comment" > // Find a column in row ' row' containing a star, or return< / span > < / div >
< div class = "line" > < a id = "l00074" name = "l00074" > < / a > < span class = "lineno" > 74< / span > < span class = "comment" > // kHungarianOptimizerColNotFound if no such column exists.< / span > < / div >
< div class = "line" > < a id = "l00075" name = "l00075" > < / a > < span class = "lineno" > 75< / span > < span class = "keywordtype" > int< / span > FindStarInRow(< span class = "keywordtype" > int< / span > < a class = "code hl_variable" href = "markowitz_8cc.html#aea35f36ba98d5bbd8d033382f50c9e52" > row< / a > ) < span class = "keyword" > const< / 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" > // Find a row in column ' col' containing a star, or return< / span > < / div >
< div class = "line" > < a id = "l00078" name = "l00078" > < / a > < span class = "lineno" > 78< / span > < span class = "comment" > // kHungarianOptimizerRowNotFound if no such row exists.< / span > < / div >
< div class = "line" > < a id = "l00079" name = "l00079" > < / a > < span class = "lineno" > 79< / span > < span class = "keywordtype" > int< / span > FindStarInCol(< span class = "keywordtype" > int< / span > < a class = "code hl_variable" href = "markowitz_8cc.html#aa9d6c98fdf8d89b0e2321fda02adc82c" > col< / a > ) < span class = "keyword" > const< / span > ;< / div >
< div class = "line" > < a id = "l00080" name = "l00080" > < / a > < span class = "lineno" > 80< / span > < / div >
< div class = "line" > < a id = "l00081" name = "l00081" > < / a > < span class = "lineno" > 81< / span > < span class = "comment" > // Is cell (row, col) marked with a prime?< / span > < / div >
< div class = "line" > < a id = "l00082" name = "l00082" > < / a > < span class = "lineno" > 82< / span > < span class = "keywordtype" > bool< / span > IsPrimed(< span class = "keywordtype" > int< / span > < a class = "code hl_variable" href = "markowitz_8cc.html#aea35f36ba98d5bbd8d033382f50c9e52" > row< / a > , < span class = "keywordtype" > int< / span > < a class = "code hl_variable" href = "markowitz_8cc.html#aa9d6c98fdf8d89b0e2321fda02adc82c" > col< / a > )< span class = "keyword" > const < / span > { < span class = "keywordflow" > return< / span > marks_[< a class = "code hl_variable" href = "markowitz_8cc.html#aea35f36ba98d5bbd8d033382f50c9e52" > row< / a > ][< a class = "code hl_variable" href = "markowitz_8cc.html#aa9d6c98fdf8d89b0e2321fda02adc82c" > col< / a > ] == PRIME; }< / div >
< div class = "line" > < a id = "l00083" name = "l00083" > < / a > < span class = "lineno" > 83< / span > < / div >
< div class = "line" > < a id = "l00084" name = "l00084" > < / a > < span class = "lineno" > 84< / span > < span class = "comment" > // Mark cell (row, col) with a prime.< / span > < / div >
< div class = "line" > < a id = "l00085" name = "l00085" > < / a > < span class = "lineno" > 85< / span > < span class = "keywordtype" > void< / span > Prime(< span class = "keywordtype" > int< / span > < a class = "code hl_variable" href = "markowitz_8cc.html#aea35f36ba98d5bbd8d033382f50c9e52" > row< / a > , < span class = "keywordtype" > int< / span > < a class = "code hl_variable" href = "markowitz_8cc.html#aa9d6c98fdf8d89b0e2321fda02adc82c" > col< / a > ) { marks_[< a class = "code hl_variable" href = "markowitz_8cc.html#aea35f36ba98d5bbd8d033382f50c9e52" > row< / a > ][< a class = "code hl_variable" href = "markowitz_8cc.html#aa9d6c98fdf8d89b0e2321fda02adc82c" > col< / a > ] = PRIME; }< / div >
< div class = "line" > < a id = "l00086" name = "l00086" > < / a > < span class = "lineno" > 86< / span > < / div >
< div class = "line" > < a id = "l00087" name = "l00087" > < / a > < span class = "lineno" > 87< / span > < span class = "comment" > // Find a column in row containing a prime, or return< / span > < / div >
< div class = "line" > < a id = "l00088" name = "l00088" > < / a > < span class = "lineno" > 88< / span > < span class = "comment" > // kHungarianOptimizerColNotFound if no such column exists.< / span > < / div >
< div class = "line" > < a id = "l00089" name = "l00089" > < / a > < span class = "lineno" > 89< / span > < span class = "keywordtype" > int< / span > FindPrimeInRow(< span class = "keywordtype" > int< / span > < a class = "code hl_variable" href = "markowitz_8cc.html#aea35f36ba98d5bbd8d033382f50c9e52" > row< / a > ) < span class = "keyword" > const< / span > ;< / div >
< div class = "line" > < a id = "l00090" name = "l00090" > < / a > < span class = "lineno" > 90< / span > < / div >
< div class = "line" > < a id = "l00091" name = "l00091" > < / a > < span class = "lineno" > 91< / span > < span class = "comment" > // Remove the prime marks_ from every cell in the matrix.< / span > < / div >
< div class = "line" > < a id = "l00092" name = "l00092" > < / a > < span class = "lineno" > 92< / span > < span class = "keywordtype" > void< / span > ClearPrimes();< / div >
< div class = "line" > < a id = "l00093" name = "l00093" > < / a > < span class = "lineno" > 93< / span > < / div >
< div class = "line" > < a id = "l00094" name = "l00094" > < / a > < span class = "lineno" > 94< / span > < span class = "comment" > // Does column col contain a star?< / span > < / div >
< div class = "line" > < a id = "l00095" name = "l00095" > < / a > < span class = "lineno" > 95< / span > < span class = "keywordtype" > bool< / span > ColContainsStar(< span class = "keywordtype" > int< / span > < a class = "code hl_variable" href = "markowitz_8cc.html#aa9d6c98fdf8d89b0e2321fda02adc82c" > col< / a > )< span class = "keyword" > const < / span > { < span class = "keywordflow" > return< / span > stars_in_col_[< a class = "code hl_variable" href = "markowitz_8cc.html#aa9d6c98fdf8d89b0e2321fda02adc82c" > col< / a > ] > 0; }< / 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 > < span class = "comment" > // Is row ' row' covered?< / span > < / div >
< div class = "line" > < a id = "l00098" name = "l00098" > < / a > < span class = "lineno" > 98< / span > < span class = "keywordtype" > bool< / span > RowCovered(< span class = "keywordtype" > int< / span > < a class = "code hl_variable" href = "markowitz_8cc.html#aea35f36ba98d5bbd8d033382f50c9e52" > row< / a > )< span class = "keyword" > const < / span > { < span class = "keywordflow" > return< / span > rows_covered_[< a class = "code hl_variable" href = "markowitz_8cc.html#aea35f36ba98d5bbd8d033382f50c9e52" > row< / a > ]; }< / 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" > 100< / span > < span class = "comment" > // Cover row ' row' .< / span > < / div >
< div class = "line" > < a id = "l00101" name = "l00101" > < / a > < span class = "lineno" > 101< / span > < span class = "keywordtype" > void< / span > CoverRow(< span class = "keywordtype" > int< / span > < a class = "code hl_variable" href = "markowitz_8cc.html#aea35f36ba98d5bbd8d033382f50c9e52" > row< / a > ) { rows_covered_[< a class = "code hl_variable" href = "markowitz_8cc.html#aea35f36ba98d5bbd8d033382f50c9e52" > row< / a > ] = < span class = "keyword" > true< / 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" > 103< / span > < span class = "comment" > // Uncover row ' row' .< / span > < / div >
< div class = "line" > < a id = "l00104" name = "l00104" > < / a > < span class = "lineno" > 104< / span > < span class = "keywordtype" > void< / span > UncoverRow(< span class = "keywordtype" > int< / span > < a class = "code hl_variable" href = "markowitz_8cc.html#aea35f36ba98d5bbd8d033382f50c9e52" > row< / a > ) { rows_covered_[< a class = "code hl_variable" href = "markowitz_8cc.html#aea35f36ba98d5bbd8d033382f50c9e52" > row< / a > ] = < span class = "keyword" > false< / span > ; }< / div >
< div class = "line" > < a id = "l00105" name = "l00105" > < / a > < span class = "lineno" > 105< / span > < / div >
< div class = "line" > < a id = "l00106" name = "l00106" > < / a > < span class = "lineno" > 106< / span > < span class = "comment" > // Is column col covered?< / span > < / div >
< div class = "line" > < a id = "l00107" name = "l00107" > < / a > < span class = "lineno" > 107< / span > < span class = "keywordtype" > bool< / span > ColCovered(< span class = "keywordtype" > int< / span > < a class = "code hl_variable" href = "markowitz_8cc.html#aa9d6c98fdf8d89b0e2321fda02adc82c" > col< / a > )< span class = "keyword" > const < / span > { < span class = "keywordflow" > return< / span > cols_covered_[< a class = "code hl_variable" href = "markowitz_8cc.html#aa9d6c98fdf8d89b0e2321fda02adc82c" > col< / a > ]; }< / div >
< div class = "line" > < a id = "l00108" name = "l00108" > < / a > < span class = "lineno" > 108< / span > < / div >
< div class = "line" > < a id = "l00109" name = "l00109" > < / a > < span class = "lineno" > 109< / span > < span class = "comment" > // Cover column col.< / span > < / div >
< div class = "line" > < a id = "l00110" name = "l00110" > < / a > < span class = "lineno" > 110< / span > < span class = "keywordtype" > void< / span > CoverCol(< span class = "keywordtype" > int< / span > < a class = "code hl_variable" href = "markowitz_8cc.html#aa9d6c98fdf8d89b0e2321fda02adc82c" > col< / a > ) { cols_covered_[< a class = "code hl_variable" href = "markowitz_8cc.html#aa9d6c98fdf8d89b0e2321fda02adc82c" > col< / a > ] = < span class = "keyword" > true< / span > ; }< / div >
< div class = "line" > < a id = "l00111" name = "l00111" > < / a > < span class = "lineno" > 111< / span > < / div >
< div class = "line" > < a id = "l00112" name = "l00112" > < / a > < span class = "lineno" > 112< / span > < span class = "comment" > // Uncover column col.< / span > < / div >
< div class = "line" > < a id = "l00113" name = "l00113" > < / a > < span class = "lineno" > 113< / span > < span class = "keywordtype" > void< / span > UncoverCol(< span class = "keywordtype" > int< / span > < a class = "code hl_variable" href = "markowitz_8cc.html#aa9d6c98fdf8d89b0e2321fda02adc82c" > col< / a > ) { cols_covered_[< a class = "code hl_variable" href = "markowitz_8cc.html#aa9d6c98fdf8d89b0e2321fda02adc82c" > col< / a > ] = < span class = "keyword" > false< / span > ; }< / div >
< div class = "line" > < a id = "l00114" name = "l00114" > < / a > < span class = "lineno" > 114< / span > < / div >
< div class = "line" > < a id = "l00115" name = "l00115" > < / a > < span class = "lineno" > 115< / span > < span class = "comment" > // Uncover ever row and column in the matrix.< / span > < / div >
< div class = "line" > < a id = "l00116" name = "l00116" > < / a > < span class = "lineno" > 116< / span > < span class = "keywordtype" > void< / span > ClearCovers();< / div >
< div class = "line" > < a id = "l00117" name = "l00117" > < / a > < span class = "lineno" > 117< / span > < / div >
< div class = "line" > < a id = "l00118" name = "l00118" > < / a > < span class = "lineno" > 118< / span > < span class = "comment" > // Find the smallest uncovered cell in the matrix.< / span > < / div >
< div class = "line" > < a id = "l00119" name = "l00119" > < / a > < span class = "lineno" > 119< / span > < span class = "keywordtype" > double< / span > FindSmallestUncovered() < span class = "keyword" > const< / span > ;< / div >
< div class = "line" > < a id = "l00120" name = "l00120" > < / a > < span class = "lineno" > 120< / span > < / div >
< div class = "line" > < a id = "l00121" name = "l00121" > < / a > < span class = "lineno" > 121< / span > < span class = "comment" > // Find an uncovered zero and store its coordinates in (zeroRow_, zeroCol_)< / span > < / div >
< div class = "line" > < a id = "l00122" name = "l00122" > < / a > < span class = "lineno" > 122< / span > < span class = "comment" > // and return true, or return false if no such cell exists.< / span > < / div >
< div class = "line" > < a id = "l00123" name = "l00123" > < / a > < span class = "lineno" > 123< / span > < span class = "keywordtype" > bool< / span > FindZero(< span class = "keywordtype" > int< / span > * zero_row, < span class = "keywordtype" > int< / span > * zero_col) < span class = "keyword" > const< / span > ;< / 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 > < span class = "comment" > // Print the matrix to stdout (for debugging.)< / span > < / div >
< div class = "line" > < a id = "l00126" name = "l00126" > < / a > < span class = "lineno" > 126< / span > < span class = "keywordtype" > void< / span > PrintMatrix();< / 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 = "comment" > // Run the Munkres algorithm!< / span > < / div >
< div class = "line" > < a id = "l00129" name = "l00129" > < / a > < span class = "lineno" > 129< / span > < span class = "keywordtype" > void< / span > DoMunkres();< / div >
< div class = "line" > < a id = "l00130" name = "l00130" > < / a > < span class = "lineno" > 130< / span > < / div >
< div class = "line" > < a id = "l00131" name = "l00131" > < / a > < span class = "lineno" > 131< / span > < span class = "comment" > // Step 1.< / span > < / div >
< div class = "line" > < a id = "l00132" name = "l00132" > < / a > < span class = "lineno" > 132< / span > < span class = "comment" > // For each row of the matrix, find the smallest element and subtract it< / span > < / div >
< div class = "line" > < a id = "l00133" name = "l00133" > < / a > < span class = "lineno" > 133< / span > < span class = "comment" > // from every element in its row. Go to Step 2.< / span > < / div >
< div class = "line" > < a id = "l00134" name = "l00134" > < / a > < span class = "lineno" > 134< / span > < span class = "keywordtype" > void< / span > ReduceRows();< / 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 > < span class = "comment" > // Step 2.< / span > < / div >
< div class = "line" > < a id = "l00137" name = "l00137" > < / a > < span class = "lineno" > 137< / span > < span class = "comment" > // Find a zero (Z) in the matrix. If there is no starred zero in its row< / span > < / div >
< div class = "line" > < a id = "l00138" name = "l00138" > < / a > < span class = "lineno" > 138< / span > < span class = "comment" > // or column, star Z. Repeat for every element in the matrix. Go to step 3.< / span > < / div >
< div class = "line" > < a id = "l00139" name = "l00139" > < / a > < span class = "lineno" > 139< / span > < span class = "comment" > // Note: profiling shows this method to use 9.2% of the CPU - the next< / span > < / div >
< div class = "line" > < a id = "l00140" name = "l00140" > < / a > < span class = "lineno" > 140< / span > < span class = "comment" > // slowest step takes 0.6%. I can' t think of a way of speeding it up though.< / span > < / div >
< div class = "line" > < a id = "l00141" name = "l00141" > < / a > < span class = "lineno" > 141< / span > < span class = "keywordtype" > void< / span > StarZeroes();< / div >
< div class = "line" > < a id = "l00142" name = "l00142" > < / a > < span class = "lineno" > 142< / span > < / div >
< div class = "line" > < a id = "l00143" name = "l00143" > < / a > < span class = "lineno" > 143< / span > < span class = "comment" > // Step 3.< / span > < / div >
< div class = "line" > < a id = "l00144" name = "l00144" > < / a > < span class = "lineno" > 144< / span > < span class = "comment" > // Cover each column containing a starred zero. If all columns are< / span > < / div >
< div class = "line" > < a id = "l00145" name = "l00145" > < / a > < span class = "lineno" > 145< / span > < span class = "comment" > // covered, the starred zeros describe a complete set of unique assignments.< / span > < / div >
< div class = "line" > < a id = "l00146" name = "l00146" > < / a > < span class = "lineno" > 146< / span > < span class = "comment" > // In this case, terminate the algorithm. Otherwise, go to step 4.< / span > < / div >
< div class = "line" > < a id = "l00147" name = "l00147" > < / a > < span class = "lineno" > 147< / span > < span class = "keywordtype" > void< / span > CoverStarredZeroes();< / div >
< div class = "line" > < a id = "l00148" name = "l00148" > < / a > < span class = "lineno" > 148< / span > < / div >
< div class = "line" > < a id = "l00149" name = "l00149" > < / a > < span class = "lineno" > 149< / span > < span class = "comment" > // Step 4.< / span > < / div >
< div class = "line" > < a id = "l00150" name = "l00150" > < / a > < span class = "lineno" > 150< / span > < span class = "comment" > // Find a noncovered zero and prime it. If there is no starred zero in the< / span > < / div >
< div class = "line" > < a id = "l00151" name = "l00151" > < / a > < span class = "lineno" > 151< / span > < span class = "comment" > // row containing this primed zero, Go to Step 5. Otherwise, cover this row< / span > < / div >
< div class = "line" > < a id = "l00152" name = "l00152" > < / a > < span class = "lineno" > 152< / span > < span class = "comment" > // and uncover the column containing the starred zero. Continue in this manner< / span > < / div >
< div class = "line" > < a id = "l00153" name = "l00153" > < / a > < span class = "lineno" > 153< / span > < span class = "comment" > // until there are no uncovered zeros left, then go to Step 6.< / span > < / div >
< div class = "line" > < a id = "l00154" name = "l00154" > < / a > < span class = "lineno" > 154< / span > < span class = "keywordtype" > void< / span > PrimeZeroes();< / div >
< div class = "line" > < a id = "l00155" name = "l00155" > < / a > < span class = "lineno" > 155< / span > < / div >
< div class = "line" > < a id = "l00156" name = "l00156" > < / a > < span class = "lineno" > 156< / span > < span class = "comment" > // Step 5.< / span > < / div >
< div class = "line" > < a id = "l00157" name = "l00157" > < / a > < span class = "lineno" > 157< / span > < span class = "comment" > // Construct a series of alternating primed and starred zeros as follows.< / span > < / div >
< div class = "line" > < a id = "l00158" name = "l00158" > < / a > < span class = "lineno" > 158< / span > < span class = "comment" > // Let Z0 represent the uncovered primed zero found in Step 4. Let Z1 denote< / span > < / div >
< div class = "line" > < a id = "l00159" name = "l00159" > < / a > < span class = "lineno" > 159< / span > < span class = "comment" > // the starred zero in the column of Z0 (if any). Let Z2 denote the primed< / span > < / div >
< div class = "line" > < a id = "l00160" name = "l00160" > < / a > < span class = "lineno" > 160< / span > < span class = "comment" > // zero in the row of Z1 (there will always be one). Continue until the< / span > < / div >
< div class = "line" > < a id = "l00161" name = "l00161" > < / a > < span class = "lineno" > 161< / span > < span class = "comment" > // series terminates at a primed zero that has no starred zero in its column.< / span > < / div >
< div class = "line" > < a id = "l00162" name = "l00162" > < / a > < span class = "lineno" > 162< / span > < span class = "comment" > // Unstar each starred zero of the series, star each primed zero of the< / span > < / div >
< div class = "line" > < a id = "l00163" name = "l00163" > < / a > < span class = "lineno" > 163< / span > < span class = "comment" > // series, erase all primes and uncover every line in the matrix. Return to< / span > < / div >
< div class = "line" > < a id = "l00164" name = "l00164" > < / a > < span class = "lineno" > 164< / span > < span class = "comment" > // Step 3.< / span > < / div >
< div class = "line" > < a id = "l00165" name = "l00165" > < / a > < span class = "lineno" > 165< / span > < span class = "keywordtype" > void< / span > MakeAugmentingPath();< / div >
< div class = "line" > < a id = "l00166" name = "l00166" > < / a > < span class = "lineno" > 166< / span > < / div >
< div class = "line" > < a id = "l00167" name = "l00167" > < / a > < span class = "lineno" > 167< / span > < span class = "comment" > // Step 6.< / span > < / div >
< div class = "line" > < a id = "l00168" name = "l00168" > < / a > < span class = "lineno" > 168< / span > < span class = "comment" > // Add the smallest uncovered value in the matrix to every element of each< / span > < / div >
< div class = "line" > < a id = "l00169" name = "l00169" > < / a > < span class = "lineno" > 169< / span > < span class = "comment" > // covered row, and subtract it from every element of each uncovered column.< / span > < / div >
< div class = "line" > < a id = "l00170" name = "l00170" > < / a > < span class = "lineno" > 170< / span > < span class = "comment" > // Return to Step 4 without altering any stars, primes, or covered lines.< / span > < / div >
< div class = "line" > < a id = "l00171" name = "l00171" > < / a > < span class = "lineno" > 171< / span > < span class = "keywordtype" > void< / span > AugmentPath();< / div >
< div class = "line" > < a id = "l00172" name = "l00172" > < / a > < span class = "lineno" > 172< / span > < / div >
< div class = "line" > < a id = "l00173" name = "l00173" > < / a > < span class = "lineno" > 173< / span > < span class = "comment" > // The size of the problem, i.e. max(#agents, #tasks).< / span > < / div >
< div class = "line" > < a id = "l00174" name = "l00174" > < / a > < span class = "lineno" > 174< / span > < span class = "keywordtype" > int< / span > matrix_size_;< / 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 > < span class = "comment" > // The expanded cost matrix.< / span > < / div >
< div class = "line" > < a id = "l00177" name = "l00177" > < / a > < span class = "lineno" > 177< / span > std::vector< std::vector< double> > costs_;< / div >
< div class = "line" > < a id = "l00178" name = "l00178" > < / a > < span class = "lineno" > 178< / span > < / div >
< div class = "line" > < a id = "l00179" name = "l00179" > < / a > < span class = "lineno" > 179< / span > < span class = "comment" > // The greatest cost in the initial cost matrix.< / span > < / div >
< div class = "line" > < a id = "l00180" name = "l00180" > < / a > < span class = "lineno" > 180< / span > < span class = "keywordtype" > double< / span > max_cost_;< / 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" > // Which rows and columns are currently covered.< / span > < / div >
< div class = "line" > < a id = "l00183" name = "l00183" > < / a > < span class = "lineno" > 183< / span > std::vector< bool> rows_covered_;< / div >
< div class = "line" > < a id = "l00184" name = "l00184" > < / a > < span class = "lineno" > 184< / span > std::vector< bool> cols_covered_;< / div >
< div class = "line" > < a id = "l00185" name = "l00185" > < / a > < span class = "lineno" > 185< / span > < / div >
< div class = "line" > < a id = "l00186" name = "l00186" > < / a > < span class = "lineno" > 186< / span > < span class = "comment" > // The marks_ (star/prime/none) on each element of the cost matrix.< / span > < / div >
< div class = "line" > < a id = "l00187" name = "l00187" > < / a > < span class = "lineno" > 187< / span > std::vector< std::vector< Mark> > marks_;< / div >
< div class = "line" > < a id = "l00188" name = "l00188" > < / a > < span class = "lineno" > 188< / span > < / div >
< div class = "line" > < a id = "l00189" name = "l00189" > < / a > < span class = "lineno" > 189< / span > < span class = "comment" > // The number of stars in each column - used to speed up coverStarredZeroes.< / span > < / div >
< div class = "line" > < a id = "l00190" name = "l00190" > < / a > < span class = "lineno" > 190< / span > std::vector< int> stars_in_col_;< / div >
< div class = "line" > < a id = "l00191" name = "l00191" > < / a > < span class = "lineno" > 191< / span > < / div >
< div class = "line" > < a id = "l00192" name = "l00192" > < / a > < span class = "lineno" > 192< / span > < span class = "comment" > // Representation of a path_ through the matrix - used in step 5.< / span > < / div >
< div class = "line" > < a id = "l00193" name = "l00193" > < / a > < span class = "lineno" > 193< / span > std::vector< int> preimage_; < span class = "comment" > // i.e. the agents< / span > < / div >
< div class = "line" > < a id = "l00194" name = "l00194" > < / a > < span class = "lineno" > 194< / span > std::vector< int> image_; < span class = "comment" > // i.e. the tasks< / span > < / div >
< div class = "line" > < a id = "l00195" name = "l00195" > < / a > < span class = "lineno" > 195< / span > < / div >
< div class = "line" > < a id = "l00196" name = "l00196" > < / a > < span class = "lineno" > 196< / span > < span class = "comment" > // The width_ and height_ of the initial (non-expanded) cost matrix.< / span > < / div >
< div class = "line" > < a id = "l00197" name = "l00197" > < / a > < span class = "lineno" > 197< / span > < span class = "keywordtype" > int< / span > width_;< / div >
< div class = "line" > < a id = "l00198" name = "l00198" > < / a > < span class = "lineno" > 198< / span > < span class = "keywordtype" > int< / span > height_;< / div >
< div class = "line" > < a id = "l00199" name = "l00199" > < / a > < span class = "lineno" > 199< / span > < / div >
< div class = "line" > < a id = "l00200" name = "l00200" > < / a > < span class = "lineno" > 200< / span > < span class = "comment" > // The current state of the algorithm< / span > < / div >
< div class = "line" > < a id = "l00201" name = "l00201" > < / a > < span class = "lineno" > 201< / span > HungarianOptimizer::Step state_;< / div >
< div class = "line" > < a id = "l00202" name = "l00202" > < / a > < span class = "lineno" > 202< / span > };< / div >
< div class = "line" > < a id = "l00203" name = "l00203" > < / a > < span class = "lineno" > 203< / span > < / div >
< div class = "line" > < a id = "l00204" name = "l00204" > < / a > < span class = "lineno" > < a class = "line" href = "classoperations__research_1_1_hungarian_optimizer.html#aa455dc213fea4e36d805f75f9c196157" > 204< / a > < / span > < a class = "code hl_function" href = "classoperations__research_1_1_hungarian_optimizer.html#aa455dc213fea4e36d805f75f9c196157" > HungarianOptimizer::HungarianOptimizer< / a > (< / div >
< div class = "line" > < a id = "l00205" name = "l00205" > < / a > < span class = "lineno" > 205< / span > < span class = "keyword" > const< / span > std::vector< std::vector< double> > & costs)< / div >
< div class = "line" > < a id = "l00206" name = "l00206" > < / a > < span class = "lineno" > 206< / span > : matrix_size_(0),< / div >
< div class = "line" > < a id = "l00207" name = "l00207" > < / a > < span class = "lineno" > 207< / span > costs_(),< / div >
< div class = "line" > < a id = "l00208" name = "l00208" > < / a > < span class = "lineno" > 208< / span > max_cost_(0),< / div >
< div class = "line" > < a id = "l00209" name = "l00209" > < / a > < span class = "lineno" > 209< / span > rows_covered_(),< / div >
< div class = "line" > < a id = "l00210" name = "l00210" > < / a > < span class = "lineno" > 210< / span > cols_covered_(),< / div >
< div class = "line" > < a id = "l00211" name = "l00211" > < / a > < span class = "lineno" > 211< / span > marks_(),< / div >
< div class = "line" > < a id = "l00212" name = "l00212" > < / a > < span class = "lineno" > 212< / span > stars_in_col_(),< / div >
< div class = "line" > < a id = "l00213" name = "l00213" > < / a > < span class = "lineno" > 213< / span > preimage_(),< / div >
< div class = "line" > < a id = "l00214" name = "l00214" > < / a > < span class = "lineno" > 214< / span > image_(),< / div >
< div class = "line" > < a id = "l00215" name = "l00215" > < / a > < span class = "lineno" > 215< / span > width_(0),< / div >
< div class = "line" > < a id = "l00216" name = "l00216" > < / a > < span class = "lineno" > 216< / span > height_(0),< / div >
< div class = "line" > < a id = "l00217" name = "l00217" > < / a > < span class = "lineno" > 217< / span > state_(nullptr) {< / div >
< div class = "line" > < a id = "l00218" name = "l00218" > < / a > < span class = "lineno" > 218< / span > width_ = costs.size();< / div >
< div class = "line" > < a id = "l00219" name = "l00219" > < / a > < span class = "lineno" > 219< / span > < / div >
< div class = "line" > < a id = "l00220" name = "l00220" > < / a > < span class = "lineno" > 220< / span > < span class = "keywordflow" > if< / span > (width_ > 0) {< / div >
< div class = "line" > < a id = "l00221" name = "l00221" > < / a > < span class = "lineno" > 221< / span > height_ = costs[0].size();< / div >
< div class = "line" > < a id = "l00222" name = "l00222" > < / a > < span class = "lineno" > 222< / span > } < span class = "keywordflow" > else< / span > {< / div >
< div class = "line" > < a id = "l00223" name = "l00223" > < / a > < span class = "lineno" > 223< / span > height_ = 0;< / 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 > < / div >
< div class = "line" > < a id = "l00226" name = "l00226" > < / a > < span class = "lineno" > 226< / span > matrix_size_ = < a class = "code hl_variable" href = "alldiff__cst_8cc.html#a26e6db9bcc64b584051ecc28171ed11f" > std::max< / a > (width_, height_);< / div >
< div class = "line" > < a id = "l00227" name = "l00227" > < / a > < span class = "lineno" > 227< / span > max_cost_ = 0;< / div >
< div class = "line" > < a id = "l00228" name = "l00228" > < / a > < span class = "lineno" > 228< / span > < / div >
< div class = "line" > < a id = "l00229" name = "l00229" > < / a > < span class = "lineno" > 229< / span > < span class = "comment" > // Generate the expanded cost matrix by adding extra 0-valued elements in< / span > < / div >
< div class = "line" > < a id = "l00230" name = "l00230" > < / a > < span class = "lineno" > 230< / span > < span class = "comment" > // order to make a square matrix. At the same time, find the greatest cost< / span > < / div >
< div class = "line" > < a id = "l00231" name = "l00231" > < / a > < span class = "lineno" > 231< / span > < span class = "comment" > // in the matrix (used later if we want to maximize rather than minimize the< / span > < / div >
< div class = "line" > < a id = "l00232" name = "l00232" > < / a > < span class = "lineno" > 232< / span > < span class = "comment" > // overall cost.)< / span > < / div >
< div class = "line" > < a id = "l00233" name = "l00233" > < / a > < span class = "lineno" > 233< / span > costs_.resize(matrix_size_);< / div >
< div class = "line" > < a id = "l00234" name = "l00234" > < / a > < span class = "lineno" > 234< / span > < span class = "keywordflow" > for< / span > (< span class = "keywordtype" > int< / span > < a class = "code hl_variable" href = "markowitz_8cc.html#aea35f36ba98d5bbd8d033382f50c9e52" > row< / a > = 0; < a class = "code hl_variable" href = "markowitz_8cc.html#aea35f36ba98d5bbd8d033382f50c9e52" > row< / a > < matrix_size_; ++< a class = "code hl_variable" href = "markowitz_8cc.html#aea35f36ba98d5bbd8d033382f50c9e52" > row< / a > ) {< / div >
< div class = "line" > < a id = "l00235" name = "l00235" > < / a > < span class = "lineno" > 235< / span > costs_[< a class = "code hl_variable" href = "markowitz_8cc.html#aea35f36ba98d5bbd8d033382f50c9e52" > row< / a > ].resize(matrix_size_);< / div >
< div class = "line" > < a id = "l00236" name = "l00236" > < / a > < span class = "lineno" > 236< / span > }< / div >
< div class = "line" > < a id = "l00237" name = "l00237" > < / a > < span class = "lineno" > 237< / span > < / div >
< div class = "line" > < a id = "l00238" name = "l00238" > < / a > < span class = "lineno" > 238< / span > < span class = "keywordflow" > for< / span > (< span class = "keywordtype" > int< / span > < a class = "code hl_variable" href = "markowitz_8cc.html#aea35f36ba98d5bbd8d033382f50c9e52" > row< / a > = 0; < a class = "code hl_variable" href = "markowitz_8cc.html#aea35f36ba98d5bbd8d033382f50c9e52" > row< / a > < matrix_size_; ++< a class = "code hl_variable" href = "markowitz_8cc.html#aea35f36ba98d5bbd8d033382f50c9e52" > row< / a > ) {< / div >
< div class = "line" > < a id = "l00239" name = "l00239" > < / a > < span class = "lineno" > 239< / span > < span class = "keywordflow" > for< / span > (< span class = "keywordtype" > int< / span > < 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 > < matrix_size_; ++< a class = "code hl_variable" href = "markowitz_8cc.html#aa9d6c98fdf8d89b0e2321fda02adc82c" > col< / a > ) {< / div >
< div class = "line" > < a id = "l00240" name = "l00240" > < / a > < span class = "lineno" > 240< / span > < span class = "keywordflow" > if< / span > ((< a class = "code hl_variable" href = "markowitz_8cc.html#aea35f36ba98d5bbd8d033382f50c9e52" > row< / a > > = width_) || (< a class = "code hl_variable" href = "markowitz_8cc.html#aa9d6c98fdf8d89b0e2321fda02adc82c" > col< / a > > = height_)) {< / div >
< div class = "line" > < a id = "l00241" name = "l00241" > < / a > < span class = "lineno" > 241< / span > costs_[< a class = "code hl_variable" href = "markowitz_8cc.html#aea35f36ba98d5bbd8d033382f50c9e52" > row< / a > ][< a class = "code hl_variable" href = "markowitz_8cc.html#aa9d6c98fdf8d89b0e2321fda02adc82c" > col< / a > ] = 0;< / div >
< div class = "line" > < a id = "l00242" name = "l00242" > < / a > < span class = "lineno" > 242< / span > } < span class = "keywordflow" > else< / span > {< / div >
< div class = "line" > < a id = "l00243" name = "l00243" > < / a > < span class = "lineno" > 243< / span > costs_[< a class = "code hl_variable" href = "markowitz_8cc.html#aea35f36ba98d5bbd8d033382f50c9e52" > row< / a > ][< a class = "code hl_variable" href = "markowitz_8cc.html#aa9d6c98fdf8d89b0e2321fda02adc82c" > col< / a > ] = costs[< a class = "code hl_variable" href = "markowitz_8cc.html#aea35f36ba98d5bbd8d033382f50c9e52" > row< / a > ][< a class = "code hl_variable" href = "markowitz_8cc.html#aa9d6c98fdf8d89b0e2321fda02adc82c" > col< / a > ];< / div >
< div class = "line" > < a id = "l00244" name = "l00244" > < / a > < span class = "lineno" > 244< / span > max_cost_ = < a class = "code hl_variable" href = "alldiff__cst_8cc.html#a26e6db9bcc64b584051ecc28171ed11f" > std::max< / a > (max_cost_, costs_[< a class = "code hl_variable" href = "markowitz_8cc.html#aea35f36ba98d5bbd8d033382f50c9e52" > row< / a > ][< a class = "code hl_variable" href = "markowitz_8cc.html#aa9d6c98fdf8d89b0e2321fda02adc82c" > col< / a > ]);< / 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 > }< / div >
< div class = "line" > < a id = "l00247" name = "l00247" > < / a > < span class = "lineno" > 247< / span > }< / div >
< div class = "line" > < a id = "l00248" name = "l00248" > < / a > < span class = "lineno" > 248< / span > < / div >
< div class = "line" > < a id = "l00249" name = "l00249" > < / a > < span class = "lineno" > 249< / span > < span class = "comment" > // Initially, none of the cells of the matrix are marked.< / span > < / div >
< div class = "line" > < a id = "l00250" name = "l00250" > < / a > < span class = "lineno" > 250< / span > marks_.resize(matrix_size_);< / div >
< div class = "line" > < a id = "l00251" name = "l00251" > < / a > < span class = "lineno" > 251< / span > < span class = "keywordflow" > for< / span > (< span class = "keywordtype" > int< / span > < a class = "code hl_variable" href = "markowitz_8cc.html#aea35f36ba98d5bbd8d033382f50c9e52" > row< / a > = 0; < a class = "code hl_variable" href = "markowitz_8cc.html#aea35f36ba98d5bbd8d033382f50c9e52" > row< / a > < matrix_size_; ++< a class = "code hl_variable" href = "markowitz_8cc.html#aea35f36ba98d5bbd8d033382f50c9e52" > row< / a > ) {< / div >
< div class = "line" > < a id = "l00252" name = "l00252" > < / a > < span class = "lineno" > 252< / span > marks_[< a class = "code hl_variable" href = "markowitz_8cc.html#aea35f36ba98d5bbd8d033382f50c9e52" > row< / a > ].resize(matrix_size_);< / div >
< div class = "line" > < a id = "l00253" name = "l00253" > < / a > < span class = "lineno" > 253< / span > < span class = "keywordflow" > for< / span > (< span class = "keywordtype" > int< / span > < 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 > < matrix_size_; ++< a class = "code hl_variable" href = "markowitz_8cc.html#aa9d6c98fdf8d89b0e2321fda02adc82c" > col< / a > ) {< / div >
< div class = "line" > < a id = "l00254" name = "l00254" > < / a > < span class = "lineno" > 254< / span > marks_[< a class = "code hl_variable" href = "markowitz_8cc.html#aea35f36ba98d5bbd8d033382f50c9e52" > row< / a > ][< a class = "code hl_variable" href = "markowitz_8cc.html#aa9d6c98fdf8d89b0e2321fda02adc82c" > col< / a > ] = NONE;< / div >
< div class = "line" > < a id = "l00255" name = "l00255" > < / a > < span class = "lineno" > 255< / span > }< / div >
< div class = "line" > < a id = "l00256" name = "l00256" > < / a > < span class = "lineno" > 256< / span > }< / div >
< div class = "line" > < a id = "l00257" name = "l00257" > < / a > < span class = "lineno" > 257< / span > < / div >
< div class = "line" > < a id = "l00258" name = "l00258" > < / a > < span class = "lineno" > 258< / span > stars_in_col_.resize(matrix_size_);< / div >
< div class = "line" > < a id = "l00259" name = "l00259" > < / a > < span class = "lineno" > 259< / span > < / div >
< div class = "line" > < a id = "l00260" name = "l00260" > < / a > < span class = "lineno" > 260< / span > rows_covered_.resize(matrix_size_);< / div >
< div class = "line" > < a id = "l00261" name = "l00261" > < / a > < span class = "lineno" > 261< / span > cols_covered_.resize(matrix_size_);< / div >
< div class = "line" > < a id = "l00262" name = "l00262" > < / a > < span class = "lineno" > 262< / span > < / div >
< div class = "line" > < a id = "l00263" name = "l00263" > < / a > < span class = "lineno" > 263< / span > preimage_.resize(matrix_size_ * 2);< / div >
< div class = "line" > < a id = "l00264" name = "l00264" > < / a > < span class = "lineno" > 264< / span > image_.resize(matrix_size_ * 2);< / 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 = "comment" > // Find an assignment which maximizes the total cost.< / span > < / div >
< div class = "line" > < a id = "l00268" name = "l00268" > < / a > < span class = "lineno" > 268< / span > < span class = "comment" > // Return an array of pairs of integers. Each pair (i, j) corresponds to< / span > < / div >
< div class = "line" > < a id = "l00269" name = "l00269" > < / a > < span class = "lineno" > 269< / span > < span class = "comment" > // assigning agent i to task j.< / span > < / div >
< div class = "line" > < a id = "l00270" name = "l00270" > < / a > < span class = "lineno" > < a class = "line" href = "classoperations__research_1_1_hungarian_optimizer.html#af9f5df225aff9d876650f829050f78e9" > 270< / a > < / span > < span class = "keywordtype" > void< / span > < a class = "code hl_function" href = "classoperations__research_1_1_hungarian_optimizer.html#af9f5df225aff9d876650f829050f78e9" > HungarianOptimizer::Maximize< / a > (std::vector< int> * preimage,< / div >
< div class = "line" > < a id = "l00271" name = "l00271" > < / a > < span class = "lineno" > 271< / span > std::vector< int> * image) {< / div >
< div class = "line" > < a id = "l00272" name = "l00272" > < / a > < span class = "lineno" > 272< / span > < span class = "comment" > // Find a maximal assignment by subtracting each of the< / span > < / div >
< div class = "line" > < a id = "l00273" name = "l00273" > < / a > < span class = "lineno" > 273< / span > < span class = "comment" > // original costs from max_cost_ and then minimizing.< / span > < / div >
< div class = "line" > < a id = "l00274" name = "l00274" > < / a > < span class = "lineno" > 274< / span > < span class = "keywordflow" > for< / span > (< span class = "keywordtype" > int< / span > < a class = "code hl_variable" href = "markowitz_8cc.html#aea35f36ba98d5bbd8d033382f50c9e52" > row< / a > = 0; < a class = "code hl_variable" href = "markowitz_8cc.html#aea35f36ba98d5bbd8d033382f50c9e52" > row< / a > < width_; ++< a class = "code hl_variable" href = "markowitz_8cc.html#aea35f36ba98d5bbd8d033382f50c9e52" > row< / a > ) {< / div >
< div class = "line" > < a id = "l00275" name = "l00275" > < / a > < span class = "lineno" > 275< / span > < span class = "keywordflow" > for< / span > (< span class = "keywordtype" > int< / span > < 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 > < height_; ++< a class = "code hl_variable" href = "markowitz_8cc.html#aa9d6c98fdf8d89b0e2321fda02adc82c" > col< / a > ) {< / div >
< div class = "line" > < a id = "l00276" name = "l00276" > < / a > < span class = "lineno" > 276< / span > costs_[< a class = "code hl_variable" href = "markowitz_8cc.html#aea35f36ba98d5bbd8d033382f50c9e52" > row< / a > ][< a class = "code hl_variable" href = "markowitz_8cc.html#aa9d6c98fdf8d89b0e2321fda02adc82c" > col< / a > ] = max_cost_ - costs_[< a class = "code hl_variable" href = "markowitz_8cc.html#aea35f36ba98d5bbd8d033382f50c9e52" > row< / a > ][< a class = "code hl_variable" href = "markowitz_8cc.html#aa9d6c98fdf8d89b0e2321fda02adc82c" > col< / a > ];< / 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 > }< / div >
< div class = "line" > < a id = "l00279" name = "l00279" > < / a > < span class = "lineno" > 279< / span > < a class = "code hl_function" href = "classoperations__research_1_1_hungarian_optimizer.html#ab14e1591074136eb2ae00cae73c92002" > Minimize< / a > (preimage, image);< / div >
< div class = "line" > < a id = "l00280" name = "l00280" > < / a > < span class = "lineno" > 280< / span > }< / div >
< div class = "line" > < a id = "l00281" name = "l00281" > < / a > < span class = "lineno" > 281< / span > < / div >
< div class = "line" > < a id = "l00282" name = "l00282" > < / a > < span class = "lineno" > 282< / span > < span class = "comment" > // Find an assignment which minimizes the total cost.< / span > < / div >
< div class = "line" > < a id = "l00283" name = "l00283" > < / a > < span class = "lineno" > 283< / span > < span class = "comment" > // Return an array of pairs of integers. Each pair (i, j) corresponds to< / span > < / div >
< div class = "line" > < a id = "l00284" name = "l00284" > < / a > < span class = "lineno" > 284< / span > < span class = "comment" > // assigning agent i to task j.< / span > < / div >
< div class = "line" > < a id = "l00285" name = "l00285" > < / a > < span class = "lineno" > < a class = "line" href = "classoperations__research_1_1_hungarian_optimizer.html#ab14e1591074136eb2ae00cae73c92002" > 285< / a > < / span > < span class = "keywordtype" > void< / span > < a class = "code hl_function" href = "classoperations__research_1_1_hungarian_optimizer.html#ab14e1591074136eb2ae00cae73c92002" > HungarianOptimizer::Minimize< / a > (std::vector< int> * preimage,< / div >
< div class = "line" > < a id = "l00286" name = "l00286" > < / a > < span class = "lineno" > 286< / span > std::vector< int> * image) {< / div >
< div class = "line" > < a id = "l00287" name = "l00287" > < / a > < span class = "lineno" > 287< / span > DoMunkres();< / div >
< div class = "line" > < a id = "l00288" name = "l00288" > < / a > < span class = "lineno" > 288< / span > FindAssignments(preimage, image);< / div >
< div class = "line" > < a id = "l00289" name = "l00289" > < / a > < span class = "lineno" > 289< / span > }< / div >
< div class = "line" > < a id = "l00290" name = "l00290" > < / a > < span class = "lineno" > 290< / span > < / div >
< div class = "line" > < a id = "l00291" name = "l00291" > < / a > < span class = "lineno" > 291< / span > < span class = "comment" > // Convert the final cost matrix into a set of assignments of agents -> tasks.< / span > < / div >
< div class = "line" > < a id = "l00292" name = "l00292" > < / a > < span class = "lineno" > 292< / span > < span class = "comment" > // Return an array of pairs of integers, the same as the return values of< / span > < / div >
< div class = "line" > < a id = "l00293" name = "l00293" > < / a > < span class = "lineno" > 293< / span > < span class = "comment" > // Minimize() and Maximize()< / span > < / div >
< div class = "line" > < a id = "l00294" name = "l00294" > < / a > < span class = "lineno" > 294< / span > < span class = "keywordtype" > void< / span > HungarianOptimizer::FindAssignments(std::vector< int> * preimage,< / div >
< div class = "line" > < a id = "l00295" name = "l00295" > < / a > < span class = "lineno" > 295< / span > std::vector< int> * image) {< / div >
< div class = "line" > < a id = "l00296" name = "l00296" > < / a > < span class = "lineno" > 296< / span > preimage-> clear();< / div >
< div class = "line" > < a id = "l00297" name = "l00297" > < / a > < span class = "lineno" > 297< / span > image-> clear();< / div >
< div class = "line" > < a id = "l00298" name = "l00298" > < / a > < span class = "lineno" > 298< / span > < span class = "keywordflow" > for< / span > (< span class = "keywordtype" > int< / span > < a class = "code hl_variable" href = "markowitz_8cc.html#aea35f36ba98d5bbd8d033382f50c9e52" > row< / a > = 0; < a class = "code hl_variable" href = "markowitz_8cc.html#aea35f36ba98d5bbd8d033382f50c9e52" > row< / a > < width_; ++< a class = "code hl_variable" href = "markowitz_8cc.html#aea35f36ba98d5bbd8d033382f50c9e52" > row< / a > ) {< / div >
< div class = "line" > < a id = "l00299" name = "l00299" > < / a > < span class = "lineno" > 299< / span > < span class = "keywordflow" > for< / span > (< span class = "keywordtype" > int< / span > < 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 > < height_; ++< a class = "code hl_variable" href = "markowitz_8cc.html#aa9d6c98fdf8d89b0e2321fda02adc82c" > col< / a > ) {< / div >
< div class = "line" > < a id = "l00300" name = "l00300" > < / a > < span class = "lineno" > 300< / span > < span class = "keywordflow" > if< / span > (IsStarred(< a class = "code hl_variable" href = "markowitz_8cc.html#aea35f36ba98d5bbd8d033382f50c9e52" > row< / a > , < a class = "code hl_variable" href = "markowitz_8cc.html#aa9d6c98fdf8d89b0e2321fda02adc82c" > col< / a > )) {< / div >
< div class = "line" > < a id = "l00301" name = "l00301" > < / a > < span class = "lineno" > 301< / span > preimage-> push_back(< a class = "code hl_variable" href = "markowitz_8cc.html#aea35f36ba98d5bbd8d033382f50c9e52" > row< / a > );< / div >
< div class = "line" > < a id = "l00302" name = "l00302" > < / a > < span class = "lineno" > 302< / span > image-> push_back(< a class = "code hl_variable" href = "markowitz_8cc.html#aa9d6c98fdf8d89b0e2321fda02adc82c" > col< / a > );< / div >
< div class = "line" > < a id = "l00303" name = "l00303" > < / a > < span class = "lineno" > 303< / span > < span class = "keywordflow" > break< / span > ;< / div >
< div class = "line" > < a id = "l00304" name = "l00304" > < / a > < span class = "lineno" > 304< / span > }< / div >
< div class = "line" > < a id = "l00305" name = "l00305" > < / a > < span class = "lineno" > 305< / span > }< / div >
< div class = "line" > < a id = "l00306" name = "l00306" > < / a > < span class = "lineno" > 306< / span > }< / div >
< div class = "line" > < a id = "l00307" name = "l00307" > < / a > < span class = "lineno" > 307< / span > < span class = "comment" > // TODO(user)< / span > < / div >
< div class = "line" > < a id = "l00308" name = "l00308" > < / a > < span class = "lineno" > 308< / span > < span class = "comment" > // result_size = min(width_, height_);< / span > < / div >
< div class = "line" > < a id = "l00309" name = "l00309" > < / a > < span class = "lineno" > 309< / span > < span class = "comment" > // CHECK image.size() == result_size< / span > < / div >
< div class = "line" > < a id = "l00310" name = "l00310" > < / a > < span class = "lineno" > 310< / span > < span class = "comment" > // CHECK preimage.size() == result_size< / span > < / div >
< div class = "line" > < a id = "l00311" name = "l00311" > < / a > < span class = "lineno" > 311< / span > }< / div >
< div class = "line" > < a id = "l00312" name = "l00312" > < / a > < span class = "lineno" > 312< / span > < / div >
< div class = "line" > < a id = "l00313" name = "l00313" > < / a > < span class = "lineno" > 313< / span > < span class = "comment" > // Find a column in row ' row' containing a star, or return< / span > < / div >
< div class = "line" > < a id = "l00314" name = "l00314" > < / a > < span class = "lineno" > 314< / span > < span class = "comment" > // kHungarianOptimizerColNotFound if no such column exists.< / span > < / div >
< div class = "line" > < a id = "l00315" name = "l00315" > < / a > < span class = "lineno" > 315< / span > < span class = "keywordtype" > int< / span > HungarianOptimizer::FindStarInRow(< span class = "keywordtype" > int< / span > < a class = "code hl_variable" href = "markowitz_8cc.html#aea35f36ba98d5bbd8d033382f50c9e52" > row< / a > )< span class = "keyword" > const < / span > {< / div >
< div class = "line" > < a id = "l00316" name = "l00316" > < / a > < span class = "lineno" > 316< / span > < span class = "keywordflow" > for< / span > (< span class = "keywordtype" > int< / span > < 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 > < matrix_size_; ++< a class = "code hl_variable" href = "markowitz_8cc.html#aa9d6c98fdf8d89b0e2321fda02adc82c" > col< / a > ) {< / div >
< div class = "line" > < a id = "l00317" name = "l00317" > < / a > < span class = "lineno" > 317< / span > < span class = "keywordflow" > if< / span > (IsStarred(< a class = "code hl_variable" href = "markowitz_8cc.html#aea35f36ba98d5bbd8d033382f50c9e52" > row< / a > , < a class = "code hl_variable" href = "markowitz_8cc.html#aa9d6c98fdf8d89b0e2321fda02adc82c" > col< / a > )) {< / div >
< div class = "line" > < a id = "l00318" name = "l00318" > < / a > < span class = "lineno" > 318< / span > < span class = "keywordflow" > return< / span > < a class = "code hl_variable" href = "markowitz_8cc.html#aa9d6c98fdf8d89b0e2321fda02adc82c" > col< / a > ;< / div >
< div class = "line" > < a id = "l00319" name = "l00319" > < / a > < span class = "lineno" > 319< / span > }< / div >
< div class = "line" > < a id = "l00320" name = "l00320" > < / a > < span class = "lineno" > 320< / span > }< / div >
< div class = "line" > < a id = "l00321" name = "l00321" > < / a > < span class = "lineno" > 321< / span > < / div >
< div class = "line" > < a id = "l00322" name = "l00322" > < / a > < span class = "lineno" > 322< / span > < span class = "keywordflow" > return< / span > kHungarianOptimizerColNotFound;< / div >
< div class = "line" > < a id = "l00323" name = "l00323" > < / a > < span class = "lineno" > 323< / span > }< / div >
< div class = "line" > < a id = "l00324" name = "l00324" > < / a > < span class = "lineno" > 324< / span > < / div >
< div class = "line" > < a id = "l00325" name = "l00325" > < / a > < span class = "lineno" > 325< / span > < span class = "comment" > // Find a row in column ' col' containing a star, or return< / span > < / div >
< div class = "line" > < a id = "l00326" name = "l00326" > < / a > < span class = "lineno" > 326< / span > < span class = "comment" > // kHungarianOptimizerRowNotFound if no such row exists.< / span > < / div >
< div class = "line" > < a id = "l00327" name = "l00327" > < / a > < span class = "lineno" > 327< / span > < span class = "keywordtype" > int< / span > HungarianOptimizer::FindStarInCol(< span class = "keywordtype" > int< / span > < a class = "code hl_variable" href = "markowitz_8cc.html#aa9d6c98fdf8d89b0e2321fda02adc82c" > col< / a > )< span class = "keyword" > const < / span > {< / div >
< div class = "line" > < a id = "l00328" name = "l00328" > < / a > < span class = "lineno" > 328< / span > < span class = "keywordflow" > if< / span > (!ColContainsStar(< a class = "code hl_variable" href = "markowitz_8cc.html#aa9d6c98fdf8d89b0e2321fda02adc82c" > col< / a > )) {< / div >
< div class = "line" > < a id = "l00329" name = "l00329" > < / a > < span class = "lineno" > 329< / span > < span class = "keywordflow" > return< / span > kHungarianOptimizerRowNotFound;< / div >
< div class = "line" > < a id = "l00330" name = "l00330" > < / a > < span class = "lineno" > 330< / span > }< / div >
< div class = "line" > < a id = "l00331" name = "l00331" > < / a > < span class = "lineno" > 331< / span > < / div >
< div class = "line" > < a id = "l00332" name = "l00332" > < / a > < span class = "lineno" > 332< / span > < span class = "keywordflow" > for< / span > (< span class = "keywordtype" > int< / span > < a class = "code hl_variable" href = "markowitz_8cc.html#aea35f36ba98d5bbd8d033382f50c9e52" > row< / a > = 0; < a class = "code hl_variable" href = "markowitz_8cc.html#aea35f36ba98d5bbd8d033382f50c9e52" > row< / a > < matrix_size_; ++< a class = "code hl_variable" href = "markowitz_8cc.html#aea35f36ba98d5bbd8d033382f50c9e52" > row< / a > ) {< / div >
< div class = "line" > < a id = "l00333" name = "l00333" > < / a > < span class = "lineno" > 333< / span > < span class = "keywordflow" > if< / span > (IsStarred(< a class = "code hl_variable" href = "markowitz_8cc.html#aea35f36ba98d5bbd8d033382f50c9e52" > row< / a > , < a class = "code hl_variable" href = "markowitz_8cc.html#aa9d6c98fdf8d89b0e2321fda02adc82c" > col< / a > )) {< / div >
< div class = "line" > < a id = "l00334" name = "l00334" > < / a > < span class = "lineno" > 334< / span > < span class = "keywordflow" > return< / span > < a class = "code hl_variable" href = "markowitz_8cc.html#aea35f36ba98d5bbd8d033382f50c9e52" > row< / a > ;< / div >
< div class = "line" > < a id = "l00335" name = "l00335" > < / a > < span class = "lineno" > 335< / span > }< / div >
< div class = "line" > < a id = "l00336" name = "l00336" > < / a > < span class = "lineno" > 336< / span > }< / div >
< div class = "line" > < a id = "l00337" name = "l00337" > < / a > < span class = "lineno" > 337< / span > < / div >
< div class = "line" > < a id = "l00338" name = "l00338" > < / a > < span class = "lineno" > 338< / span > < span class = "comment" > // NOTREACHED< / span > < / div >
< div class = "line" > < a id = "l00339" name = "l00339" > < / a > < span class = "lineno" > 339< / span > < span class = "keywordflow" > return< / span > kHungarianOptimizerRowNotFound;< / div >
< div class = "line" > < a id = "l00340" name = "l00340" > < / a > < span class = "lineno" > 340< / span > }< / div >
< div class = "line" > < a id = "l00341" name = "l00341" > < / a > < span class = "lineno" > 341< / span > < / div >
< div class = "line" > < a id = "l00342" name = "l00342" > < / a > < span class = "lineno" > 342< / span > < span class = "comment" > // Find a column in row containing a prime, or return< / span > < / div >
< div class = "line" > < a id = "l00343" name = "l00343" > < / a > < span class = "lineno" > 343< / span > < span class = "comment" > // kHungarianOptimizerColNotFound if no such column exists.< / span > < / div >
< div class = "line" > < a id = "l00344" name = "l00344" > < / a > < span class = "lineno" > 344< / span > < span class = "keywordtype" > int< / span > HungarianOptimizer::FindPrimeInRow(< span class = "keywordtype" > int< / span > < a class = "code hl_variable" href = "markowitz_8cc.html#aea35f36ba98d5bbd8d033382f50c9e52" > row< / a > )< span class = "keyword" > const < / span > {< / div >
< div class = "line" > < a id = "l00345" name = "l00345" > < / a > < span class = "lineno" > 345< / span > < span class = "keywordflow" > for< / span > (< span class = "keywordtype" > int< / span > < 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 > < matrix_size_; ++< a class = "code hl_variable" href = "markowitz_8cc.html#aa9d6c98fdf8d89b0e2321fda02adc82c" > col< / a > ) {< / div >
< div class = "line" > < a id = "l00346" name = "l00346" > < / a > < span class = "lineno" > 346< / span > < span class = "keywordflow" > if< / span > (IsPrimed(< a class = "code hl_variable" href = "markowitz_8cc.html#aea35f36ba98d5bbd8d033382f50c9e52" > row< / a > , < a class = "code hl_variable" href = "markowitz_8cc.html#aa9d6c98fdf8d89b0e2321fda02adc82c" > col< / a > )) {< / div >
< div class = "line" > < a id = "l00347" name = "l00347" > < / a > < span class = "lineno" > 347< / span > < span class = "keywordflow" > return< / span > < a class = "code hl_variable" href = "markowitz_8cc.html#aa9d6c98fdf8d89b0e2321fda02adc82c" > col< / a > ;< / div >
< div class = "line" > < a id = "l00348" name = "l00348" > < / a > < span class = "lineno" > 348< / span > }< / div >
< div class = "line" > < a id = "l00349" name = "l00349" > < / a > < span class = "lineno" > 349< / span > }< / div >
< div class = "line" > < a id = "l00350" name = "l00350" > < / a > < span class = "lineno" > 350< / span > < / div >
< div class = "line" > < a id = "l00351" name = "l00351" > < / a > < span class = "lineno" > 351< / span > < span class = "keywordflow" > return< / span > kHungarianOptimizerColNotFound;< / div >
< div class = "line" > < a id = "l00352" name = "l00352" > < / a > < span class = "lineno" > 352< / span > }< / div >
< div class = "line" > < a id = "l00353" name = "l00353" > < / a > < span class = "lineno" > 353< / span > < / div >
< div class = "line" > < a id = "l00354" name = "l00354" > < / a > < span class = "lineno" > 354< / span > < span class = "comment" > // Remove the prime marks from every cell in the matrix.< / span > < / div >
< div class = "line" > < a id = "l00355" name = "l00355" > < / a > < span class = "lineno" > 355< / span > < span class = "keywordtype" > void< / span > HungarianOptimizer::ClearPrimes() {< / div >
< div class = "line" > < a id = "l00356" name = "l00356" > < / a > < span class = "lineno" > 356< / span > < span class = "keywordflow" > for< / span > (< span class = "keywordtype" > int< / span > < a class = "code hl_variable" href = "markowitz_8cc.html#aea35f36ba98d5bbd8d033382f50c9e52" > row< / a > = 0; < a class = "code hl_variable" href = "markowitz_8cc.html#aea35f36ba98d5bbd8d033382f50c9e52" > row< / a > < matrix_size_; ++< a class = "code hl_variable" href = "markowitz_8cc.html#aea35f36ba98d5bbd8d033382f50c9e52" > row< / a > ) {< / div >
< div class = "line" > < a id = "l00357" name = "l00357" > < / a > < span class = "lineno" > 357< / span > < span class = "keywordflow" > for< / span > (< span class = "keywordtype" > int< / span > < 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 > < matrix_size_; ++< a class = "code hl_variable" href = "markowitz_8cc.html#aa9d6c98fdf8d89b0e2321fda02adc82c" > col< / a > ) {< / div >
< div class = "line" > < a id = "l00358" name = "l00358" > < / a > < span class = "lineno" > 358< / span > < span class = "keywordflow" > if< / span > (IsPrimed(< a class = "code hl_variable" href = "markowitz_8cc.html#aea35f36ba98d5bbd8d033382f50c9e52" > row< / a > , < a class = "code hl_variable" href = "markowitz_8cc.html#aa9d6c98fdf8d89b0e2321fda02adc82c" > col< / a > )) {< / div >
< div class = "line" > < a id = "l00359" name = "l00359" > < / a > < span class = "lineno" > 359< / span > marks_[< a class = "code hl_variable" href = "markowitz_8cc.html#aea35f36ba98d5bbd8d033382f50c9e52" > row< / a > ][< a class = "code hl_variable" href = "markowitz_8cc.html#aa9d6c98fdf8d89b0e2321fda02adc82c" > col< / a > ] = NONE;< / div >
< div class = "line" > < a id = "l00360" name = "l00360" > < / a > < span class = "lineno" > 360< / span > }< / div >
< div class = "line" > < a id = "l00361" name = "l00361" > < / a > < span class = "lineno" > 361< / span > }< / div >
< div class = "line" > < a id = "l00362" name = "l00362" > < / a > < span class = "lineno" > 362< / span > }< / div >
< div class = "line" > < a id = "l00363" name = "l00363" > < / a > < span class = "lineno" > 363< / span > }< / div >
< div class = "line" > < a id = "l00364" name = "l00364" > < / a > < span class = "lineno" > 364< / span > < / div >
< div class = "line" > < a id = "l00365" name = "l00365" > < / a > < span class = "lineno" > 365< / span > < span class = "comment" > // Uncovery ever row and column in the matrix.< / span > < / div >
< div class = "line" > < a id = "l00366" name = "l00366" > < / a > < span class = "lineno" > 366< / span > < span class = "keywordtype" > void< / span > HungarianOptimizer::ClearCovers() {< / div >
< div class = "line" > < a id = "l00367" name = "l00367" > < / a > < span class = "lineno" > 367< / span > < span class = "keywordflow" > for< / span > (< span class = "keywordtype" > int< / span > x = 0; x < matrix_size_; x++) {< / div >
< div class = "line" > < a id = "l00368" name = "l00368" > < / a > < span class = "lineno" > 368< / span > UncoverRow(x);< / div >
< div class = "line" > < a id = "l00369" name = "l00369" > < / a > < span class = "lineno" > 369< / span > UncoverCol(x);< / div >
< div class = "line" > < a id = "l00370" name = "l00370" > < / a > < span class = "lineno" > 370< / span > }< / div >
< div class = "line" > < a id = "l00371" name = "l00371" > < / a > < span class = "lineno" > 371< / span > }< / div >
< div class = "line" > < a id = "l00372" name = "l00372" > < / a > < span class = "lineno" > 372< / span > < / div >
< div class = "line" > < a id = "l00373" name = "l00373" > < / a > < span class = "lineno" > 373< / span > < span class = "comment" > // Find the smallest uncovered cell in the matrix.< / span > < / div >
< div class = "line" > < a id = "l00374" name = "l00374" > < / a > < span class = "lineno" > 374< / span > < span class = "keywordtype" > double< / span > HungarianOptimizer::FindSmallestUncovered()< span class = "keyword" > const < / span > {< / div >
< div class = "line" > < a id = "l00375" name = "l00375" > < / a > < span class = "lineno" > 375< / span > < span class = "keywordtype" > double< / span > minval = < a class = "code hl_variable" href = "alldiff__cst_8cc.html#a26e6db9bcc64b584051ecc28171ed11f" > std::numeric_limits< double> ::max< / a > ();< / div >
< div class = "line" > < a id = "l00376" name = "l00376" > < / a > < span class = "lineno" > 376< / span > < / div >
< div class = "line" > < a id = "l00377" name = "l00377" > < / a > < span class = "lineno" > 377< / span > < span class = "keywordflow" > for< / span > (< span class = "keywordtype" > int< / span > < a class = "code hl_variable" href = "markowitz_8cc.html#aea35f36ba98d5bbd8d033382f50c9e52" > row< / a > = 0; < a class = "code hl_variable" href = "markowitz_8cc.html#aea35f36ba98d5bbd8d033382f50c9e52" > row< / a > < matrix_size_; ++< a class = "code hl_variable" href = "markowitz_8cc.html#aea35f36ba98d5bbd8d033382f50c9e52" > row< / a > ) {< / div >
< div class = "line" > < a id = "l00378" name = "l00378" > < / a > < span class = "lineno" > 378< / span > < span class = "keywordflow" > if< / span > (RowCovered(< a class = "code hl_variable" href = "markowitz_8cc.html#aea35f36ba98d5bbd8d033382f50c9e52" > row< / a > )) {< / div >
< div class = "line" > < a id = "l00379" name = "l00379" > < / a > < span class = "lineno" > 379< / span > < span class = "keywordflow" > continue< / span > ;< / div >
< div class = "line" > < a id = "l00380" name = "l00380" > < / a > < span class = "lineno" > 380< / span > }< / div >
< div class = "line" > < a id = "l00381" name = "l00381" > < / a > < span class = "lineno" > 381< / span > < / div >
< div class = "line" > < a id = "l00382" name = "l00382" > < / a > < span class = "lineno" > 382< / span > < span class = "keywordflow" > for< / span > (< span class = "keywordtype" > int< / span > < 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 > < matrix_size_; ++< a class = "code hl_variable" href = "markowitz_8cc.html#aa9d6c98fdf8d89b0e2321fda02adc82c" > col< / a > ) {< / div >
< div class = "line" > < a id = "l00383" name = "l00383" > < / a > < span class = "lineno" > 383< / span > < span class = "keywordflow" > if< / span > (ColCovered(< a class = "code hl_variable" href = "markowitz_8cc.html#aa9d6c98fdf8d89b0e2321fda02adc82c" > col< / a > )) {< / div >
< div class = "line" > < a id = "l00384" name = "l00384" > < / a > < span class = "lineno" > 384< / span > < span class = "keywordflow" > continue< / span > ;< / div >
< div class = "line" > < a id = "l00385" name = "l00385" > < / a > < span class = "lineno" > 385< / span > }< / div >
< div class = "line" > < a id = "l00386" name = "l00386" > < / a > < span class = "lineno" > 386< / span > < / div >
< div class = "line" > < a id = "l00387" name = "l00387" > < / a > < span class = "lineno" > 387< / span > minval = < a class = "code hl_variable" href = "alldiff__cst_8cc.html#ad10edae0a852d72fb76afb1c77735045" > std::min< / a > (minval, costs_[< a class = "code hl_variable" href = "markowitz_8cc.html#aea35f36ba98d5bbd8d033382f50c9e52" > row< / a > ][< a class = "code hl_variable" href = "markowitz_8cc.html#aa9d6c98fdf8d89b0e2321fda02adc82c" > col< / a > ]);< / div >
< div class = "line" > < a id = "l00388" name = "l00388" > < / a > < span class = "lineno" > 388< / span > }< / div >
< div class = "line" > < a id = "l00389" name = "l00389" > < / a > < span class = "lineno" > 389< / span > }< / div >
< div class = "line" > < a id = "l00390" name = "l00390" > < / a > < span class = "lineno" > 390< / span > < / div >
< div class = "line" > < a id = "l00391" name = "l00391" > < / a > < span class = "lineno" > 391< / span > < span class = "keywordflow" > return< / span > minval;< / div >
< div class = "line" > < a id = "l00392" name = "l00392" > < / a > < span class = "lineno" > 392< / span > }< / div >
< div class = "line" > < a id = "l00393" name = "l00393" > < / a > < span class = "lineno" > 393< / span > < / div >
< div class = "line" > < a id = "l00394" name = "l00394" > < / a > < span class = "lineno" > 394< / span > < span class = "comment" > // Find an uncovered zero and store its co-ordinates in (zeroRow, zeroCol)< / span > < / div >
< div class = "line" > < a id = "l00395" name = "l00395" > < / a > < span class = "lineno" > 395< / span > < span class = "comment" > // and return true, or return false if no such cell exists.< / span > < / div >
< div class = "line" > < a id = "l00396" name = "l00396" > < / a > < span class = "lineno" > 396< / span > < span class = "keywordtype" > bool< / span > HungarianOptimizer::FindZero(< span class = "keywordtype" > int< / span > * zero_row, < span class = "keywordtype" > int< / span > * zero_col)< span class = "keyword" > const < / span > {< / div >
< div class = "line" > < a id = "l00397" name = "l00397" > < / a > < span class = "lineno" > 397< / span > < span class = "keywordflow" > for< / span > (< span class = "keywordtype" > int< / span > < a class = "code hl_variable" href = "markowitz_8cc.html#aea35f36ba98d5bbd8d033382f50c9e52" > row< / a > = 0; < a class = "code hl_variable" href = "markowitz_8cc.html#aea35f36ba98d5bbd8d033382f50c9e52" > row< / a > < matrix_size_; ++< a class = "code hl_variable" href = "markowitz_8cc.html#aea35f36ba98d5bbd8d033382f50c9e52" > row< / a > ) {< / div >
< div class = "line" > < a id = "l00398" name = "l00398" > < / a > < span class = "lineno" > 398< / span > < span class = "keywordflow" > if< / span > (RowCovered(< a class = "code hl_variable" href = "markowitz_8cc.html#aea35f36ba98d5bbd8d033382f50c9e52" > row< / a > )) {< / div >
< div class = "line" > < a id = "l00399" name = "l00399" > < / a > < span class = "lineno" > 399< / span > < span class = "keywordflow" > continue< / span > ;< / div >
< div class = "line" > < a id = "l00400" name = "l00400" > < / a > < span class = "lineno" > 400< / span > }< / div >
< div class = "line" > < a id = "l00401" name = "l00401" > < / a > < span class = "lineno" > 401< / span > < / div >
< div class = "line" > < a id = "l00402" name = "l00402" > < / a > < span class = "lineno" > 402< / span > < span class = "keywordflow" > for< / span > (< span class = "keywordtype" > int< / span > < 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 > < matrix_size_; ++< a class = "code hl_variable" href = "markowitz_8cc.html#aa9d6c98fdf8d89b0e2321fda02adc82c" > col< / a > ) {< / div >
< div class = "line" > < a id = "l00403" name = "l00403" > < / a > < span class = "lineno" > 403< / span > < span class = "keywordflow" > if< / span > (ColCovered(< a class = "code hl_variable" href = "markowitz_8cc.html#aa9d6c98fdf8d89b0e2321fda02adc82c" > col< / a > )) {< / div >
< div class = "line" > < a id = "l00404" name = "l00404" > < / a > < span class = "lineno" > 404< / span > < span class = "keywordflow" > continue< / span > ;< / div >
< div class = "line" > < a id = "l00405" name = "l00405" > < / a > < span class = "lineno" > 405< / span > }< / div >
< div class = "line" > < a id = "l00406" name = "l00406" > < / a > < span class = "lineno" > 406< / span > < / div >
< div class = "line" > < a id = "l00407" name = "l00407" > < / a > < span class = "lineno" > 407< / span > < span class = "keywordflow" > if< / span > (costs_[< a class = "code hl_variable" href = "markowitz_8cc.html#aea35f36ba98d5bbd8d033382f50c9e52" > row< / a > ][< a class = "code hl_variable" href = "markowitz_8cc.html#aa9d6c98fdf8d89b0e2321fda02adc82c" > col< / a > ] == 0) {< / div >
< div class = "line" > < a id = "l00408" name = "l00408" > < / a > < span class = "lineno" > 408< / span > *zero_row = < a class = "code hl_variable" href = "markowitz_8cc.html#aea35f36ba98d5bbd8d033382f50c9e52" > row< / a > ;< / div >
< div class = "line" > < a id = "l00409" name = "l00409" > < / a > < span class = "lineno" > 409< / span > *zero_col = < a class = "code hl_variable" href = "markowitz_8cc.html#aa9d6c98fdf8d89b0e2321fda02adc82c" > col< / a > ;< / div >
< div class = "line" > < a id = "l00410" name = "l00410" > < / a > < span class = "lineno" > 410< / span > < span class = "keywordflow" > return< / span > < span class = "keyword" > true< / span > ;< / div >
< div class = "line" > < a id = "l00411" name = "l00411" > < / a > < span class = "lineno" > 411< / span > }< / div >
< div class = "line" > < a id = "l00412" name = "l00412" > < / a > < span class = "lineno" > 412< / span > }< / div >
< div class = "line" > < a id = "l00413" name = "l00413" > < / a > < span class = "lineno" > 413< / span > }< / div >
< div class = "line" > < a id = "l00414" name = "l00414" > < / a > < span class = "lineno" > 414< / span > < / div >
< div class = "line" > < a id = "l00415" name = "l00415" > < / a > < span class = "lineno" > 415< / span > < span class = "keywordflow" > return< / span > < span class = "keyword" > false< / span > ;< / div >
< div class = "line" > < a id = "l00416" name = "l00416" > < / a > < span class = "lineno" > 416< / span > }< / div >
< div class = "line" > < a id = "l00417" name = "l00417" > < / a > < span class = "lineno" > 417< / span > < / div >
< div class = "line" > < a id = "l00418" name = "l00418" > < / a > < span class = "lineno" > 418< / span > < span class = "comment" > // Print the matrix to stdout (for debugging.)< / span > < / div >
< div class = "line" > < a id = "l00419" name = "l00419" > < / a > < span class = "lineno" > 419< / span > < span class = "keywordtype" > void< / span > HungarianOptimizer::PrintMatrix() {< / div >
< div class = "line" > < a id = "l00420" name = "l00420" > < / a > < span class = "lineno" > 420< / span > < span class = "keywordflow" > for< / span > (< span class = "keywordtype" > int< / span > < a class = "code hl_variable" href = "markowitz_8cc.html#aea35f36ba98d5bbd8d033382f50c9e52" > row< / a > = 0; < a class = "code hl_variable" href = "markowitz_8cc.html#aea35f36ba98d5bbd8d033382f50c9e52" > row< / a > < matrix_size_; ++< a class = "code hl_variable" href = "markowitz_8cc.html#aea35f36ba98d5bbd8d033382f50c9e52" > row< / a > ) {< / div >
< div class = "line" > < a id = "l00421" name = "l00421" > < / a > < span class = "lineno" > 421< / span > < span class = "keywordflow" > for< / span > (< span class = "keywordtype" > int< / span > < 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 > < matrix_size_; ++< a class = "code hl_variable" href = "markowitz_8cc.html#aa9d6c98fdf8d89b0e2321fda02adc82c" > col< / a > ) {< / div >
< div class = "line" > < a id = "l00422" name = "l00422" > < / a > < span class = "lineno" > 422< / span > absl::PrintF(< span class = "stringliteral" > " %g " < / span > , costs_[< a class = "code hl_variable" href = "markowitz_8cc.html#aea35f36ba98d5bbd8d033382f50c9e52" > row< / a > ][< a class = "code hl_variable" href = "markowitz_8cc.html#aa9d6c98fdf8d89b0e2321fda02adc82c" > col< / a > ]);< / div >
< div class = "line" > < a id = "l00423" name = "l00423" > < / a > < span class = "lineno" > 423< / span > < / div >
< div class = "line" > < a id = "l00424" name = "l00424" > < / a > < span class = "lineno" > 424< / span > < span class = "keywordflow" > if< / span > (IsStarred(< a class = "code hl_variable" href = "markowitz_8cc.html#aea35f36ba98d5bbd8d033382f50c9e52" > row< / a > , < a class = "code hl_variable" href = "markowitz_8cc.html#aa9d6c98fdf8d89b0e2321fda02adc82c" > col< / a > )) {< / div >
< div class = "line" > < a id = "l00425" name = "l00425" > < / a > < span class = "lineno" > 425< / span > absl::PrintF(< span class = "stringliteral" > " *" < / span > );< / div >
< div class = "line" > < a id = "l00426" name = "l00426" > < / a > < span class = "lineno" > 426< / span > }< / div >
< div class = "line" > < a id = "l00427" name = "l00427" > < / a > < span class = "lineno" > 427< / span > < / div >
< div class = "line" > < a id = "l00428" name = "l00428" > < / a > < span class = "lineno" > 428< / span > < span class = "keywordflow" > if< / span > (IsPrimed(< a class = "code hl_variable" href = "markowitz_8cc.html#aea35f36ba98d5bbd8d033382f50c9e52" > row< / a > , < a class = "code hl_variable" href = "markowitz_8cc.html#aa9d6c98fdf8d89b0e2321fda02adc82c" > col< / a > )) {< / div >
< div class = "line" > < a id = "l00429" name = "l00429" > < / a > < span class = "lineno" > 429< / span > absl::PrintF(< span class = "stringliteral" > " ' " < / span > );< / div >
< div class = "line" > < a id = "l00430" name = "l00430" > < / a > < span class = "lineno" > 430< / span > }< / div >
< div class = "line" > < a id = "l00431" name = "l00431" > < / a > < span class = "lineno" > 431< / span > }< / div >
< div class = "line" > < a id = "l00432" name = "l00432" > < / a > < span class = "lineno" > 432< / span > absl::PrintF(< span class = "stringliteral" > " \n" < / span > );< / div >
< div class = "line" > < a id = "l00433" name = "l00433" > < / a > < span class = "lineno" > 433< / span > }< / div >
< div class = "line" > < a id = "l00434" name = "l00434" > < / a > < span class = "lineno" > 434< / span > }< / div >
< div class = "line" > < a id = "l00435" name = "l00435" > < / a > < span class = "lineno" > 435< / span > < / div >
< div class = "line" > < a id = "l00436" name = "l00436" > < / a > < span class = "lineno" > 436< / span > < span class = "comment" > // Run the Munkres algorithm!< / span > < / div >
< div class = "line" > < a id = "l00437" name = "l00437" > < / a > < span class = "lineno" > 437< / span > < span class = "keywordtype" > void< / span > HungarianOptimizer::DoMunkres() {< / div >
< div class = "line" > < a id = "l00438" name = "l00438" > < / a > < span class = "lineno" > 438< / span > state_ = & HungarianOptimizer::ReduceRows;< / div >
< div class = "line" > < a id = "l00439" name = "l00439" > < / a > < span class = "lineno" > 439< / span > < span class = "keywordflow" > while< / span > (state_ != < span class = "keyword" > nullptr< / span > ) {< / div >
< div class = "line" > < a id = "l00440" name = "l00440" > < / a > < span class = "lineno" > 440< / span > (this-> *state_)();< / div >
< div class = "line" > < a id = "l00441" name = "l00441" > < / a > < span class = "lineno" > 441< / span > }< / div >
< div class = "line" > < a id = "l00442" name = "l00442" > < / a > < span class = "lineno" > 442< / span > }< / div >
< div class = "line" > < a id = "l00443" name = "l00443" > < / a > < span class = "lineno" > 443< / span > < / div >
< div class = "line" > < a id = "l00444" name = "l00444" > < / a > < span class = "lineno" > 444< / span > < span class = "comment" > // Step 1.< / span > < / div >
< div class = "line" > < a id = "l00445" name = "l00445" > < / a > < span class = "lineno" > 445< / span > < span class = "comment" > // For each row of the matrix, find the smallest element and subtract it< / span > < / div >
< div class = "line" > < a id = "l00446" name = "l00446" > < / a > < span class = "lineno" > 446< / span > < span class = "comment" > // from every element in its row. Go to Step 2.< / span > < / div >
< div class = "line" > < a id = "l00447" name = "l00447" > < / a > < span class = "lineno" > 447< / span > < span class = "keywordtype" > void< / span > HungarianOptimizer::ReduceRows() {< / div >
< div class = "line" > < a id = "l00448" name = "l00448" > < / a > < span class = "lineno" > 448< / span > < span class = "keywordflow" > for< / span > (< span class = "keywordtype" > int< / span > < a class = "code hl_variable" href = "markowitz_8cc.html#aea35f36ba98d5bbd8d033382f50c9e52" > row< / a > = 0; < a class = "code hl_variable" href = "markowitz_8cc.html#aea35f36ba98d5bbd8d033382f50c9e52" > row< / a > < matrix_size_; ++< a class = "code hl_variable" href = "markowitz_8cc.html#aea35f36ba98d5bbd8d033382f50c9e52" > row< / a > ) {< / div >
< div class = "line" > < a id = "l00449" name = "l00449" > < / a > < span class = "lineno" > 449< / span > < span class = "keywordtype" > double< / span > min_cost = costs_[< a class = "code hl_variable" href = "markowitz_8cc.html#aea35f36ba98d5bbd8d033382f50c9e52" > row< / a > ][0];< / div >
< div class = "line" > < a id = "l00450" name = "l00450" > < / a > < span class = "lineno" > 450< / span > < span class = "keywordflow" > for< / span > (< span class = "keywordtype" > int< / span > < a class = "code hl_variable" href = "markowitz_8cc.html#aa9d6c98fdf8d89b0e2321fda02adc82c" > col< / a > = 1; < a class = "code hl_variable" href = "markowitz_8cc.html#aa9d6c98fdf8d89b0e2321fda02adc82c" > col< / a > < matrix_size_; ++< a class = "code hl_variable" href = "markowitz_8cc.html#aa9d6c98fdf8d89b0e2321fda02adc82c" > col< / a > ) {< / div >
< div class = "line" > < a id = "l00451" name = "l00451" > < / a > < span class = "lineno" > 451< / span > min_cost = < a class = "code hl_variable" href = "alldiff__cst_8cc.html#ad10edae0a852d72fb76afb1c77735045" > std::min< / a > (min_cost, costs_[< a class = "code hl_variable" href = "markowitz_8cc.html#aea35f36ba98d5bbd8d033382f50c9e52" > row< / a > ][< a class = "code hl_variable" href = "markowitz_8cc.html#aa9d6c98fdf8d89b0e2321fda02adc82c" > col< / a > ]);< / div >
< div class = "line" > < a id = "l00452" name = "l00452" > < / a > < span class = "lineno" > 452< / span > }< / div >
< div class = "line" > < a id = "l00453" name = "l00453" > < / a > < span class = "lineno" > 453< / span > < span class = "keywordflow" > for< / span > (< span class = "keywordtype" > int< / span > < 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 > < matrix_size_; ++< a class = "code hl_variable" href = "markowitz_8cc.html#aa9d6c98fdf8d89b0e2321fda02adc82c" > col< / a > ) {< / div >
< div class = "line" > < a id = "l00454" name = "l00454" > < / a > < span class = "lineno" > 454< / span > costs_[< a class = "code hl_variable" href = "markowitz_8cc.html#aea35f36ba98d5bbd8d033382f50c9e52" > row< / a > ][< a class = "code hl_variable" href = "markowitz_8cc.html#aa9d6c98fdf8d89b0e2321fda02adc82c" > col< / a > ] -= min_cost;< / div >
< div class = "line" > < a id = "l00455" name = "l00455" > < / a > < span class = "lineno" > 455< / span > }< / div >
< div class = "line" > < a id = "l00456" name = "l00456" > < / a > < span class = "lineno" > 456< / span > }< / div >
< div class = "line" > < a id = "l00457" name = "l00457" > < / a > < span class = "lineno" > 457< / span > state_ = & HungarianOptimizer::StarZeroes;< / div >
< div class = "line" > < a id = "l00458" name = "l00458" > < / a > < span class = "lineno" > 458< / span > }< / div >
< div class = "line" > < a id = "l00459" name = "l00459" > < / a > < span class = "lineno" > 459< / span > < / div >
< div class = "line" > < a id = "l00460" name = "l00460" > < / a > < span class = "lineno" > 460< / span > < span class = "comment" > // Step 2.< / span > < / div >
< div class = "line" > < a id = "l00461" name = "l00461" > < / a > < span class = "lineno" > 461< / span > < span class = "comment" > // Find a zero (Z) in the matrix. If there is no starred zero in its row< / span > < / div >
< div class = "line" > < a id = "l00462" name = "l00462" > < / a > < span class = "lineno" > 462< / span > < span class = "comment" > // or column, star Z. Repeat for every element in the matrix. Go to step 3.< / span > < / div >
< div class = "line" > < a id = "l00463" name = "l00463" > < / a > < span class = "lineno" > 463< / span > < span class = "keywordtype" > void< / span > HungarianOptimizer::StarZeroes() {< / div >
< div class = "line" > < a id = "l00464" name = "l00464" > < / a > < span class = "lineno" > 464< / span > < span class = "comment" > // Since no rows or columns are covered on entry to this step, we use the< / span > < / div >
< div class = "line" > < a id = "l00465" name = "l00465" > < / a > < span class = "lineno" > 465< / span > < span class = "comment" > // covers as a quick way of marking which rows & columns have stars in them.< / span > < / div >
< div class = "line" > < a id = "l00466" name = "l00466" > < / a > < span class = "lineno" > 466< / span > < span class = "keywordflow" > for< / span > (< span class = "keywordtype" > int< / span > < a class = "code hl_variable" href = "markowitz_8cc.html#aea35f36ba98d5bbd8d033382f50c9e52" > row< / a > = 0; < a class = "code hl_variable" href = "markowitz_8cc.html#aea35f36ba98d5bbd8d033382f50c9e52" > row< / a > < matrix_size_; ++< a class = "code hl_variable" href = "markowitz_8cc.html#aea35f36ba98d5bbd8d033382f50c9e52" > row< / a > ) {< / div >
< div class = "line" > < a id = "l00467" name = "l00467" > < / a > < span class = "lineno" > 467< / span > < span class = "keywordflow" > if< / span > (RowCovered(< a class = "code hl_variable" href = "markowitz_8cc.html#aea35f36ba98d5bbd8d033382f50c9e52" > row< / a > )) {< / div >
< div class = "line" > < a id = "l00468" name = "l00468" > < / a > < span class = "lineno" > 468< / span > < span class = "keywordflow" > continue< / span > ;< / div >
< div class = "line" > < a id = "l00469" name = "l00469" > < / a > < span class = "lineno" > 469< / span > }< / div >
< div class = "line" > < a id = "l00470" name = "l00470" > < / a > < span class = "lineno" > 470< / span > < / div >
< div class = "line" > < a id = "l00471" name = "l00471" > < / a > < span class = "lineno" > 471< / span > < span class = "keywordflow" > for< / span > (< span class = "keywordtype" > int< / span > < 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 > < matrix_size_; ++< a class = "code hl_variable" href = "markowitz_8cc.html#aa9d6c98fdf8d89b0e2321fda02adc82c" > col< / a > ) {< / div >
< div class = "line" > < a id = "l00472" name = "l00472" > < / a > < span class = "lineno" > 472< / span > < span class = "keywordflow" > if< / span > (ColCovered(< a class = "code hl_variable" href = "markowitz_8cc.html#aa9d6c98fdf8d89b0e2321fda02adc82c" > col< / a > )) {< / div >
< div class = "line" > < a id = "l00473" name = "l00473" > < / a > < span class = "lineno" > 473< / span > < span class = "keywordflow" > continue< / span > ;< / div >
< div class = "line" > < a id = "l00474" name = "l00474" > < / a > < span class = "lineno" > 474< / span > }< / div >
< div class = "line" > < a id = "l00475" name = "l00475" > < / a > < span class = "lineno" > 475< / span > < / div >
< div class = "line" > < a id = "l00476" name = "l00476" > < / a > < span class = "lineno" > 476< / span > < span class = "keywordflow" > if< / span > (costs_[< a class = "code hl_variable" href = "markowitz_8cc.html#aea35f36ba98d5bbd8d033382f50c9e52" > row< / a > ][< a class = "code hl_variable" href = "markowitz_8cc.html#aa9d6c98fdf8d89b0e2321fda02adc82c" > col< / a > ] == 0) {< / div >
< div class = "line" > < a id = "l00477" name = "l00477" > < / a > < span class = "lineno" > 477< / span > Star(< a class = "code hl_variable" href = "markowitz_8cc.html#aea35f36ba98d5bbd8d033382f50c9e52" > row< / a > , < a class = "code hl_variable" href = "markowitz_8cc.html#aa9d6c98fdf8d89b0e2321fda02adc82c" > col< / a > );< / div >
< div class = "line" > < a id = "l00478" name = "l00478" > < / a > < span class = "lineno" > 478< / span > CoverRow(< a class = "code hl_variable" href = "markowitz_8cc.html#aea35f36ba98d5bbd8d033382f50c9e52" > row< / a > );< / div >
< div class = "line" > < a id = "l00479" name = "l00479" > < / a > < span class = "lineno" > 479< / span > CoverCol(< a class = "code hl_variable" href = "markowitz_8cc.html#aa9d6c98fdf8d89b0e2321fda02adc82c" > col< / a > );< / div >
< div class = "line" > < a id = "l00480" name = "l00480" > < / a > < span class = "lineno" > 480< / span > < span class = "keywordflow" > break< / span > ;< / div >
< div class = "line" > < a id = "l00481" name = "l00481" > < / a > < span class = "lineno" > 481< / span > }< / div >
< div class = "line" > < a id = "l00482" name = "l00482" > < / a > < span class = "lineno" > 482< / span > }< / div >
< div class = "line" > < a id = "l00483" name = "l00483" > < / a > < span class = "lineno" > 483< / span > }< / div >
< div class = "line" > < a id = "l00484" name = "l00484" > < / a > < span class = "lineno" > 484< / span > < / div >
< div class = "line" > < a id = "l00485" name = "l00485" > < / a > < span class = "lineno" > 485< / span > ClearCovers();< / div >
< div class = "line" > < a id = "l00486" name = "l00486" > < / a > < span class = "lineno" > 486< / span > state_ = & HungarianOptimizer::CoverStarredZeroes;< / div >
< div class = "line" > < a id = "l00487" name = "l00487" > < / a > < span class = "lineno" > 487< / span > }< / div >
< div class = "line" > < a id = "l00488" name = "l00488" > < / a > < span class = "lineno" > 488< / span > < / div >
< div class = "line" > < a id = "l00489" name = "l00489" > < / a > < span class = "lineno" > 489< / span > < span class = "comment" > // Step 3.< / span > < / div >
< div class = "line" > < a id = "l00490" name = "l00490" > < / a > < span class = "lineno" > 490< / span > < span class = "comment" > // Cover each column containing a starred zero. If all columns are< / span > < / div >
< div class = "line" > < a id = "l00491" name = "l00491" > < / a > < span class = "lineno" > 491< / span > < span class = "comment" > // covered, the starred zeros describe a complete set of unique assignments.< / span > < / div >
< div class = "line" > < a id = "l00492" name = "l00492" > < / a > < span class = "lineno" > 492< / span > < span class = "comment" > // In this case, terminate the algorithm. Otherwise, go to step 4.< / span > < / div >
< div class = "line" > < a id = "l00493" name = "l00493" > < / a > < span class = "lineno" > 493< / span > < span class = "keywordtype" > void< / span > HungarianOptimizer::CoverStarredZeroes() {< / div >
< div class = "line" > < a id = "l00494" name = "l00494" > < / a > < span class = "lineno" > 494< / span > < span class = "keywordtype" > int< / span > num_covered = 0;< / div >
< div class = "line" > < a id = "l00495" name = "l00495" > < / a > < span class = "lineno" > 495< / span > < / div >
< div class = "line" > < a id = "l00496" name = "l00496" > < / a > < span class = "lineno" > 496< / span > < span class = "keywordflow" > for< / span > (< span class = "keywordtype" > int< / span > < 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 > < matrix_size_; ++< a class = "code hl_variable" href = "markowitz_8cc.html#aa9d6c98fdf8d89b0e2321fda02adc82c" > col< / a > ) {< / div >
< div class = "line" > < a id = "l00497" name = "l00497" > < / a > < span class = "lineno" > 497< / span > < span class = "keywordflow" > if< / span > (ColContainsStar(< a class = "code hl_variable" href = "markowitz_8cc.html#aa9d6c98fdf8d89b0e2321fda02adc82c" > col< / a > )) {< / div >
< div class = "line" > < a id = "l00498" name = "l00498" > < / a > < span class = "lineno" > 498< / span > CoverCol(< a class = "code hl_variable" href = "markowitz_8cc.html#aa9d6c98fdf8d89b0e2321fda02adc82c" > col< / a > );< / div >
< div class = "line" > < a id = "l00499" name = "l00499" > < / a > < span class = "lineno" > 499< / span > num_covered++;< / div >
< div class = "line" > < a id = "l00500" name = "l00500" > < / a > < span class = "lineno" > 500< / span > }< / div >
< div class = "line" > < a id = "l00501" name = "l00501" > < / a > < span class = "lineno" > 501< / span > }< / div >
< div class = "line" > < a id = "l00502" name = "l00502" > < / a > < span class = "lineno" > 502< / span > < / div >
< div class = "line" > < a id = "l00503" name = "l00503" > < / a > < span class = "lineno" > 503< / span > < span class = "keywordflow" > if< / span > (num_covered > = matrix_size_) {< / div >
< div class = "line" > < a id = "l00504" name = "l00504" > < / a > < span class = "lineno" > 504< / span > state_ = < span class = "keyword" > nullptr< / span > ;< / div >
< div class = "line" > < a id = "l00505" name = "l00505" > < / a > < span class = "lineno" > 505< / span > < span class = "keywordflow" > return< / span > ;< / div >
< div class = "line" > < a id = "l00506" name = "l00506" > < / a > < span class = "lineno" > 506< / span > }< / div >
< div class = "line" > < a id = "l00507" name = "l00507" > < / a > < span class = "lineno" > 507< / span > state_ = & HungarianOptimizer::PrimeZeroes;< / div >
< div class = "line" > < a id = "l00508" name = "l00508" > < / a > < span class = "lineno" > 508< / span > }< / div >
< div class = "line" > < a id = "l00509" name = "l00509" > < / a > < span class = "lineno" > 509< / span > < / div >
< div class = "line" > < a id = "l00510" name = "l00510" > < / a > < span class = "lineno" > 510< / span > < span class = "comment" > // Step 4.< / span > < / div >
< div class = "line" > < a id = "l00511" name = "l00511" > < / a > < span class = "lineno" > 511< / span > < span class = "comment" > // Find a noncovered zero and prime it. If there is no starred zero in the< / span > < / div >
< div class = "line" > < a id = "l00512" name = "l00512" > < / a > < span class = "lineno" > 512< / span > < span class = "comment" > // row containing this primed zero, Go to Step 5. Otherwise, cover this row< / span > < / div >
< div class = "line" > < a id = "l00513" name = "l00513" > < / a > < span class = "lineno" > 513< / span > < span class = "comment" > // and uncover the column containing the starred zero. Continue in this manner< / span > < / div >
< div class = "line" > < a id = "l00514" name = "l00514" > < / a > < span class = "lineno" > 514< / span > < span class = "comment" > // until there are no uncovered zeros left, then go to Step 6.< / span > < / div >
< div class = "line" > < a id = "l00515" name = "l00515" > < / a > < span class = "lineno" > 515< / span > < / div >
< div class = "line" > < a id = "l00516" name = "l00516" > < / a > < span class = "lineno" > 516< / span > < span class = "keywordtype" > void< / span > HungarianOptimizer::PrimeZeroes() {< / div >
< div class = "line" > < a id = "l00517" name = "l00517" > < / a > < span class = "lineno" > 517< / span > < span class = "comment" > // This loop is guaranteed to terminate in at most matrix_size_ iterations,< / span > < / div >
< div class = "line" > < a id = "l00518" name = "l00518" > < / a > < span class = "lineno" > 518< / span > < span class = "comment" > // as findZero() returns a location only if there is at least one uncovered< / span > < / div >
< div class = "line" > < a id = "l00519" name = "l00519" > < / a > < span class = "lineno" > 519< / span > < span class = "comment" > // zero in the matrix. Each iteration, either one row is covered or the< / span > < / div >
< div class = "line" > < a id = "l00520" name = "l00520" > < / a > < span class = "lineno" > 520< / span > < span class = "comment" > // loop terminates. Since there are matrix_size_ rows, after that many< / span > < / div >
< div class = "line" > < a id = "l00521" name = "l00521" > < / a > < span class = "lineno" > 521< / span > < span class = "comment" > // iterations there are no uncovered cells and hence no uncovered zeroes,< / span > < / div >
< div class = "line" > < a id = "l00522" name = "l00522" > < / a > < span class = "lineno" > 522< / span > < span class = "comment" > // so the loop terminates.< / span > < / div >
< div class = "line" > < a id = "l00523" name = "l00523" > < / a > < span class = "lineno" > 523< / span > < span class = "keywordflow" > for< / span > (;;) {< / div >
< div class = "line" > < a id = "l00524" name = "l00524" > < / a > < span class = "lineno" > 524< / span > < span class = "keywordtype" > int< / span > zero_row, zero_col;< / div >
< div class = "line" > < a id = "l00525" name = "l00525" > < / a > < span class = "lineno" > 525< / span > < span class = "keywordflow" > if< / span > (!FindZero(& zero_row, & zero_col)) {< / div >
< div class = "line" > < a id = "l00526" name = "l00526" > < / a > < span class = "lineno" > 526< / span > < span class = "comment" > // No uncovered zeroes.< / span > < / div >
< div class = "line" > < a id = "l00527" name = "l00527" > < / a > < span class = "lineno" > 527< / span > state_ = & HungarianOptimizer::AugmentPath;< / div >
< div class = "line" > < a id = "l00528" name = "l00528" > < / a > < span class = "lineno" > 528< / span > < span class = "keywordflow" > return< / span > ;< / div >
< div class = "line" > < a id = "l00529" name = "l00529" > < / a > < span class = "lineno" > 529< / span > }< / div >
< div class = "line" > < a id = "l00530" name = "l00530" > < / a > < span class = "lineno" > 530< / span > < / div >
< div class = "line" > < a id = "l00531" name = "l00531" > < / a > < span class = "lineno" > 531< / span > Prime(zero_row, zero_col);< / div >
< div class = "line" > < a id = "l00532" name = "l00532" > < / a > < span class = "lineno" > 532< / span > < span class = "keywordtype" > int< / span > star_col = FindStarInRow(zero_row);< / div >
< div class = "line" > < a id = "l00533" name = "l00533" > < / a > < span class = "lineno" > 533< / span > < / div >
< div class = "line" > < a id = "l00534" name = "l00534" > < / a > < span class = "lineno" > 534< / span > < span class = "keywordflow" > if< / span > (star_col != kHungarianOptimizerColNotFound) {< / div >
< div class = "line" > < a id = "l00535" name = "l00535" > < / a > < span class = "lineno" > 535< / span > CoverRow(zero_row);< / div >
< div class = "line" > < a id = "l00536" name = "l00536" > < / a > < span class = "lineno" > 536< / span > UncoverCol(star_col);< / div >
< div class = "line" > < a id = "l00537" name = "l00537" > < / a > < span class = "lineno" > 537< / span > } < span class = "keywordflow" > else< / span > {< / div >
< div class = "line" > < a id = "l00538" name = "l00538" > < / a > < span class = "lineno" > 538< / span > preimage_[0] = zero_row;< / div >
< div class = "line" > < a id = "l00539" name = "l00539" > < / a > < span class = "lineno" > 539< / span > image_[0] = zero_col;< / div >
< div class = "line" > < a id = "l00540" name = "l00540" > < / a > < span class = "lineno" > 540< / span > state_ = & HungarianOptimizer::MakeAugmentingPath;< / div >
< div class = "line" > < a id = "l00541" name = "l00541" > < / a > < span class = "lineno" > 541< / span > < span class = "keywordflow" > return< / span > ;< / div >
< div class = "line" > < a id = "l00542" name = "l00542" > < / a > < span class = "lineno" > 542< / span > }< / div >
< div class = "line" > < a id = "l00543" name = "l00543" > < / a > < span class = "lineno" > 543< / span > }< / div >
< div class = "line" > < a id = "l00544" name = "l00544" > < / a > < span class = "lineno" > 544< / span > }< / div >
< div class = "line" > < a id = "l00545" name = "l00545" > < / a > < span class = "lineno" > 545< / span > < / div >
< div class = "line" > < a id = "l00546" name = "l00546" > < / a > < span class = "lineno" > 546< / span > < span class = "comment" > // Step 5.< / span > < / div >
< div class = "line" > < a id = "l00547" name = "l00547" > < / a > < span class = "lineno" > 547< / span > < span class = "comment" > // Construct a series of alternating primed and starred zeros as follows.< / span > < / div >
< div class = "line" > < a id = "l00548" name = "l00548" > < / a > < span class = "lineno" > 548< / span > < span class = "comment" > // Let Z0 represent the uncovered primed zero found in Step 4. Let Z1 denote< / span > < / div >
< div class = "line" > < a id = "l00549" name = "l00549" > < / a > < span class = "lineno" > 549< / span > < span class = "comment" > // the starred zero in the column of Z0 (if any). Let Z2 denote the primed< / span > < / div >
< div class = "line" > < a id = "l00550" name = "l00550" > < / a > < span class = "lineno" > 550< / span > < span class = "comment" > // zero in the row of Z1 (there will always be one). Continue until the< / span > < / div >
< div class = "line" > < a id = "l00551" name = "l00551" > < / a > < span class = "lineno" > 551< / span > < span class = "comment" > // series terminates at a primed zero that has no starred zero in its column.< / span > < / div >
< div class = "line" > < a id = "l00552" name = "l00552" > < / a > < span class = "lineno" > 552< / span > < span class = "comment" > // Unstar each starred zero of the series, star each primed zero of the< / span > < / div >
< div class = "line" > < a id = "l00553" name = "l00553" > < / a > < span class = "lineno" > 553< / span > < span class = "comment" > // series, erase all primes and uncover every line in the matrix. Return to< / span > < / div >
< div class = "line" > < a id = "l00554" name = "l00554" > < / a > < span class = "lineno" > 554< / span > < span class = "comment" > // Step 3.< / span > < / div >
< div class = "line" > < a id = "l00555" name = "l00555" > < / a > < span class = "lineno" > 555< / span > < span class = "keywordtype" > void< / span > HungarianOptimizer::MakeAugmentingPath() {< / div >
< div class = "line" > < a id = "l00556" name = "l00556" > < / a > < span class = "lineno" > 556< / span > < span class = "keywordtype" > bool< / span > done = < span class = "keyword" > false< / span > ;< / div >
< div class = "line" > < a id = "l00557" name = "l00557" > < / a > < span class = "lineno" > 557< / span > < span class = "keywordtype" > int< / span > count = 0;< / div >
< div class = "line" > < a id = "l00558" name = "l00558" > < / a > < span class = "lineno" > 558< / span > < / div >
< div class = "line" > < a id = "l00559" name = "l00559" > < / a > < span class = "lineno" > 559< / span > < span class = "comment" > // Note: this loop is guaranteed to terminate within matrix_size_ iterations< / span > < / div >
< div class = "line" > < a id = "l00560" name = "l00560" > < / a > < span class = "lineno" > 560< / span > < span class = "comment" > // because:< / span > < / div >
< div class = "line" > < a id = "l00561" name = "l00561" > < / a > < span class = "lineno" > 561< / span > < span class = "comment" > // 1) on entry to this step, there is at least 1 column with no starred zero< / span > < / div >
< div class = "line" > < a id = "l00562" name = "l00562" > < / a > < span class = "lineno" > 562< / span > < span class = "comment" > // (otherwise we would have terminated the algorithm already.)< / span > < / div >
< div class = "line" > < a id = "l00563" name = "l00563" > < / a > < span class = "lineno" > 563< / span > < span class = "comment" > // 2) each row containing a star also contains exactly one primed zero.< / span > < / div >
< div class = "line" > < a id = "l00564" name = "l00564" > < / a > < span class = "lineno" > 564< / span > < span class = "comment" > // 4) each column contains at most one starred zero.< / span > < / div >
< div class = "line" > < a id = "l00565" name = "l00565" > < / a > < span class = "lineno" > 565< / span > < span class = "comment" > //< / span > < / div >
< div class = "line" > < a id = "l00566" name = "l00566" > < / a > < span class = "lineno" > 566< / span > < span class = "comment" > // Since the path_ we construct visits primed and starred zeroes alternately,< / span > < / div >
< div class = "line" > < a id = "l00567" name = "l00567" > < / a > < span class = "lineno" > 567< / span > < span class = "comment" > // and terminates if we reach a primed zero in a column with no star, our< / span > < / div >
< div class = "line" > < a id = "l00568" name = "l00568" > < / a > < span class = "lineno" > 568< / span > < span class = "comment" > // path_ must either contain matrix_size_ or fewer stars (in which case the< / span > < / div >
< div class = "line" > < a id = "l00569" name = "l00569" > < / a > < span class = "lineno" > 569< / span > < span class = "comment" > // loop iterates fewer than matrix_size_ times), or it contains more. In< / span > < / div >
< div class = "line" > < a id = "l00570" name = "l00570" > < / a > < span class = "lineno" > 570< / span > < span class = "comment" > // that case, because (1) implies that there are fewer than< / span > < / div >
< div class = "line" > < a id = "l00571" name = "l00571" > < / a > < span class = "lineno" > 571< / span > < span class = "comment" > // matrix_size_ stars, we must have visited at least one star more than once.< / span > < / div >
< div class = "line" > < a id = "l00572" name = "l00572" > < / a > < span class = "lineno" > 572< / span > < span class = "comment" > // Consider the first such star that we visit more than once; it must have< / span > < / div >
< div class = "line" > < a id = "l00573" name = "l00573" > < / a > < span class = "lineno" > 573< / span > < span class = "comment" > // been reached immediately after visiting a prime in the same row. By (2),< / span > < / div >
< div class = "line" > < a id = "l00574" name = "l00574" > < / a > < span class = "lineno" > 574< / span > < span class = "comment" > // this prime is unique and so must have also been visited more than once.< / span > < / div >
< div class = "line" > < a id = "l00575" name = "l00575" > < / a > < span class = "lineno" > 575< / span > < span class = "comment" > // Therefore, that prime must be in the same column as a star that has been< / span > < / div >
< div class = "line" > < a id = "l00576" name = "l00576" > < / a > < span class = "lineno" > 576< / span > < span class = "comment" > // visited more than once, contradicting the assumption that we chose the< / span > < / div >
< div class = "line" > < a id = "l00577" name = "l00577" > < / a > < span class = "lineno" > 577< / span > < span class = "comment" > // first multiply visited star, or it must be in the same column as more< / span > < / div >
< div class = "line" > < a id = "l00578" name = "l00578" > < / a > < span class = "lineno" > 578< / span > < span class = "comment" > // than one star, contradicting (3). Therefore, we never visit any star< / span > < / div >
< div class = "line" > < a id = "l00579" name = "l00579" > < / a > < span class = "lineno" > 579< / span > < span class = "comment" > // more than once and the loop terminates within matrix_size_ iterations.< / span > < / div >
< div class = "line" > < a id = "l00580" name = "l00580" > < / a > < span class = "lineno" > 580< / span > < / div >
< div class = "line" > < a id = "l00581" name = "l00581" > < / a > < span class = "lineno" > 581< / span > < span class = "keywordflow" > while< / span > (!done) {< / div >
< div class = "line" > < a id = "l00582" name = "l00582" > < / a > < span class = "lineno" > 582< / span > < span class = "comment" > // First construct the alternating path...< / span > < / div >
< div class = "line" > < a id = "l00583" name = "l00583" > < / a > < span class = "lineno" > 583< / span > < span class = "keywordtype" > int< / span > < a class = "code hl_variable" href = "markowitz_8cc.html#aea35f36ba98d5bbd8d033382f50c9e52" > row< / a > = FindStarInCol(image_[count]);< / div >
< div class = "line" > < a id = "l00584" name = "l00584" > < / a > < span class = "lineno" > 584< / span > < / div >
< div class = "line" > < a id = "l00585" name = "l00585" > < / a > < span class = "lineno" > 585< / span > < span class = "keywordflow" > if< / span > (< a class = "code hl_variable" href = "markowitz_8cc.html#aea35f36ba98d5bbd8d033382f50c9e52" > row< / a > != kHungarianOptimizerRowNotFound) {< / div >
< div class = "line" > < a id = "l00586" name = "l00586" > < / a > < span class = "lineno" > 586< / span > count++;< / div >
< div class = "line" > < a id = "l00587" name = "l00587" > < / a > < span class = "lineno" > 587< / span > preimage_[count] = < a class = "code hl_variable" href = "markowitz_8cc.html#aea35f36ba98d5bbd8d033382f50c9e52" > row< / a > ;< / div >
< div class = "line" > < a id = "l00588" name = "l00588" > < / a > < span class = "lineno" > 588< / span > image_[count] = image_[count - 1];< / div >
< div class = "line" > < a id = "l00589" name = "l00589" > < / a > < span class = "lineno" > 589< / span > } < span class = "keywordflow" > else< / span > {< / div >
< div class = "line" > < a id = "l00590" name = "l00590" > < / a > < span class = "lineno" > 590< / span > done = < span class = "keyword" > true< / span > ;< / div >
< div class = "line" > < a id = "l00591" name = "l00591" > < / a > < span class = "lineno" > 591< / span > }< / div >
< div class = "line" > < a id = "l00592" name = "l00592" > < / a > < span class = "lineno" > 592< / span > < / div >
< div class = "line" > < a id = "l00593" name = "l00593" > < / a > < span class = "lineno" > 593< / span > < span class = "keywordflow" > if< / span > (!done) {< / div >
< div class = "line" > < a id = "l00594" name = "l00594" > < / a > < span class = "lineno" > 594< / span > < span class = "keywordtype" > int< / span > < a class = "code hl_variable" href = "markowitz_8cc.html#aa9d6c98fdf8d89b0e2321fda02adc82c" > col< / a > = FindPrimeInRow(preimage_[count]);< / div >
< div class = "line" > < a id = "l00595" name = "l00595" > < / a > < span class = "lineno" > 595< / span > count++;< / div >
< div class = "line" > < a id = "l00596" name = "l00596" > < / a > < span class = "lineno" > 596< / span > preimage_[count] = preimage_[count - 1];< / div >
< div class = "line" > < a id = "l00597" name = "l00597" > < / a > < span class = "lineno" > 597< / span > image_[count] = < a class = "code hl_variable" href = "markowitz_8cc.html#aa9d6c98fdf8d89b0e2321fda02adc82c" > col< / a > ;< / div >
< div class = "line" > < a id = "l00598" name = "l00598" > < / a > < span class = "lineno" > 598< / span > }< / div >
< div class = "line" > < a id = "l00599" name = "l00599" > < / a > < span class = "lineno" > 599< / span > }< / div >
< div class = "line" > < a id = "l00600" name = "l00600" > < / a > < span class = "lineno" > 600< / span > < / div >
< div class = "line" > < a id = "l00601" name = "l00601" > < / a > < span class = "lineno" > 601< / span > < span class = "comment" > // Then modify it.< / span > < / div >
< div class = "line" > < a id = "l00602" name = "l00602" > < / a > < span class = "lineno" > 602< / span > < span class = "keywordflow" > for< / span > (< span class = "keywordtype" > int< / span > i = 0; i < = count; ++i) {< / div >
< div class = "line" > < a id = "l00603" name = "l00603" > < / a > < span class = "lineno" > 603< / span > < span class = "keywordtype" > int< / span > < a class = "code hl_variable" href = "markowitz_8cc.html#aea35f36ba98d5bbd8d033382f50c9e52" > row< / a > = preimage_[i];< / div >
< div class = "line" > < a id = "l00604" name = "l00604" > < / a > < span class = "lineno" > 604< / span > < span class = "keywordtype" > int< / span > < a class = "code hl_variable" href = "markowitz_8cc.html#aa9d6c98fdf8d89b0e2321fda02adc82c" > col< / a > = image_[i];< / div >
< div class = "line" > < a id = "l00605" name = "l00605" > < / a > < span class = "lineno" > 605< / span > < / div >
< div class = "line" > < a id = "l00606" name = "l00606" > < / a > < span class = "lineno" > 606< / span > < span class = "keywordflow" > if< / span > (IsStarred(< a class = "code hl_variable" href = "markowitz_8cc.html#aea35f36ba98d5bbd8d033382f50c9e52" > row< / a > , < a class = "code hl_variable" href = "markowitz_8cc.html#aa9d6c98fdf8d89b0e2321fda02adc82c" > col< / a > )) {< / div >
< div class = "line" > < a id = "l00607" name = "l00607" > < / a > < span class = "lineno" > 607< / span > UnStar(< a class = "code hl_variable" href = "markowitz_8cc.html#aea35f36ba98d5bbd8d033382f50c9e52" > row< / a > , < a class = "code hl_variable" href = "markowitz_8cc.html#aa9d6c98fdf8d89b0e2321fda02adc82c" > col< / a > );< / div >
< div class = "line" > < a id = "l00608" name = "l00608" > < / a > < span class = "lineno" > 608< / span > } < span class = "keywordflow" > else< / span > {< / div >
< div class = "line" > < a id = "l00609" name = "l00609" > < / a > < span class = "lineno" > 609< / span > Star(< a class = "code hl_variable" href = "markowitz_8cc.html#aea35f36ba98d5bbd8d033382f50c9e52" > row< / a > , < a class = "code hl_variable" href = "markowitz_8cc.html#aa9d6c98fdf8d89b0e2321fda02adc82c" > col< / a > );< / div >
< div class = "line" > < a id = "l00610" name = "l00610" > < / a > < span class = "lineno" > 610< / span > }< / div >
< div class = "line" > < a id = "l00611" name = "l00611" > < / a > < span class = "lineno" > 611< / span > }< / div >
< div class = "line" > < a id = "l00612" name = "l00612" > < / a > < span class = "lineno" > 612< / span > < / div >
< div class = "line" > < a id = "l00613" name = "l00613" > < / a > < span class = "lineno" > 613< / span > ClearCovers();< / div >
< div class = "line" > < a id = "l00614" name = "l00614" > < / a > < span class = "lineno" > 614< / span > ClearPrimes();< / div >
< div class = "line" > < a id = "l00615" name = "l00615" > < / a > < span class = "lineno" > 615< / span > state_ = & HungarianOptimizer::CoverStarredZeroes;< / div >
< div class = "line" > < a id = "l00616" name = "l00616" > < / a > < span class = "lineno" > 616< / span > }< / div >
< div class = "line" > < a id = "l00617" name = "l00617" > < / a > < span class = "lineno" > 617< / span > < / div >
< div class = "line" > < a id = "l00618" name = "l00618" > < / a > < span class = "lineno" > 618< / span > < span class = "comment" > // Step 6< / span > < / div >
< div class = "line" > < a id = "l00619" name = "l00619" > < / a > < span class = "lineno" > 619< / span > < span class = "comment" > // Add the smallest uncovered value in the matrix to every element of each< / span > < / div >
< div class = "line" > < a id = "l00620" name = "l00620" > < / a > < span class = "lineno" > 620< / span > < span class = "comment" > // covered row, and subtract it from every element of each uncovered column.< / span > < / div >
< div class = "line" > < a id = "l00621" name = "l00621" > < / a > < span class = "lineno" > 621< / span > < span class = "comment" > // Return to Step 4 without altering any stars, primes, or covered lines.< / span > < / div >
< div class = "line" > < a id = "l00622" name = "l00622" > < / a > < span class = "lineno" > 622< / span > < span class = "keywordtype" > void< / span > HungarianOptimizer::AugmentPath() {< / div >
< div class = "line" > < a id = "l00623" name = "l00623" > < / a > < span class = "lineno" > 623< / span > < span class = "keywordtype" > double< / span > minval = FindSmallestUncovered();< / div >
< div class = "line" > < a id = "l00624" name = "l00624" > < / a > < span class = "lineno" > 624< / span > < / div >
< div class = "line" > < a id = "l00625" name = "l00625" > < / a > < span class = "lineno" > 625< / span > < span class = "keywordflow" > for< / span > (< span class = "keywordtype" > int< / span > < a class = "code hl_variable" href = "markowitz_8cc.html#aea35f36ba98d5bbd8d033382f50c9e52" > row< / a > = 0; < a class = "code hl_variable" href = "markowitz_8cc.html#aea35f36ba98d5bbd8d033382f50c9e52" > row< / a > < matrix_size_; ++< a class = "code hl_variable" href = "markowitz_8cc.html#aea35f36ba98d5bbd8d033382f50c9e52" > row< / a > ) {< / div >
< div class = "line" > < a id = "l00626" name = "l00626" > < / a > < span class = "lineno" > 626< / span > < span class = "keywordflow" > for< / span > (< span class = "keywordtype" > int< / span > < 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 > < matrix_size_; ++< a class = "code hl_variable" href = "markowitz_8cc.html#aa9d6c98fdf8d89b0e2321fda02adc82c" > col< / a > ) {< / div >
< div class = "line" > < a id = "l00627" name = "l00627" > < / a > < span class = "lineno" > 627< / span > < span class = "keywordflow" > if< / span > (RowCovered(< a class = "code hl_variable" href = "markowitz_8cc.html#aea35f36ba98d5bbd8d033382f50c9e52" > row< / a > )) {< / div >
< div class = "line" > < a id = "l00628" name = "l00628" > < / a > < span class = "lineno" > 628< / span > costs_[< a class = "code hl_variable" href = "markowitz_8cc.html#aea35f36ba98d5bbd8d033382f50c9e52" > row< / a > ][< a class = "code hl_variable" href = "markowitz_8cc.html#aa9d6c98fdf8d89b0e2321fda02adc82c" > col< / a > ] += minval;< / div >
< div class = "line" > < a id = "l00629" name = "l00629" > < / a > < span class = "lineno" > 629< / span > }< / div >
< div class = "line" > < a id = "l00630" name = "l00630" > < / a > < span class = "lineno" > 630< / span > < / div >
< div class = "line" > < a id = "l00631" name = "l00631" > < / a > < span class = "lineno" > 631< / span > < span class = "keywordflow" > if< / span > (!ColCovered(< a class = "code hl_variable" href = "markowitz_8cc.html#aa9d6c98fdf8d89b0e2321fda02adc82c" > col< / a > )) {< / div >
< div class = "line" > < a id = "l00632" name = "l00632" > < / a > < span class = "lineno" > 632< / span > costs_[< a class = "code hl_variable" href = "markowitz_8cc.html#aea35f36ba98d5bbd8d033382f50c9e52" > row< / a > ][< a class = "code hl_variable" href = "markowitz_8cc.html#aa9d6c98fdf8d89b0e2321fda02adc82c" > col< / a > ] -= minval;< / div >
< div class = "line" > < a id = "l00633" name = "l00633" > < / a > < span class = "lineno" > 633< / span > }< / div >
< div class = "line" > < a id = "l00634" name = "l00634" > < / a > < span class = "lineno" > 634< / span > }< / div >
< div class = "line" > < a id = "l00635" name = "l00635" > < / a > < span class = "lineno" > 635< / span > }< / div >
< div class = "line" > < a id = "l00636" name = "l00636" > < / a > < span class = "lineno" > 636< / span > < / div >
< div class = "line" > < a id = "l00637" name = "l00637" > < / a > < span class = "lineno" > 637< / span > state_ = & HungarianOptimizer::PrimeZeroes;< / div >
< div class = "line" > < a id = "l00638" name = "l00638" > < / a > < span class = "lineno" > 638< / span > }< / div >
< div class = "line" > < a id = "l00639" name = "l00639" > < / a > < span class = "lineno" > 639< / span > < / div >
< div class = "line" > < a id = "l00640" name = "l00640" > < / a > < span class = "lineno" > < a class = "line" href = "namespaceoperations__research.html#a891ddf9892fb33be8044e9ac7d58ef3d" > 640< / a > < / span > < span class = "keywordtype" > bool< / span > < a class = "code hl_function" href = "namespaceoperations__research.html#a891ddf9892fb33be8044e9ac7d58ef3d" > InputContainsNan< / a > (< span class = "keyword" > const< / span > std::vector< std::vector< double> > & < a class = "code hl_function" href = "parser_8yy_8cc.html#a5a634cf4429798b1c921a81de8250051" > input< / a > ) {< / div >
< div class = "line" > < a id = "l00641" name = "l00641" > < / a > < span class = "lineno" > 641< / span > < span class = "keywordflow" > for< / span > (< span class = "keyword" > const< / span > < span class = "keyword" > auto< / span > & subvector : < a class = "code hl_function" href = "parser_8yy_8cc.html#a5a634cf4429798b1c921a81de8250051" > input< / a > ) {< / div >
< div class = "line" > < a id = "l00642" name = "l00642" > < / a > < span class = "lineno" > 642< / span > < span class = "keywordflow" > for< / span > (< span class = "keyword" > const< / span > < span class = "keyword" > auto< / span > & num : subvector) {< / div >
< div class = "line" > < a id = "l00643" name = "l00643" > < / a > < span class = "lineno" > 643< / span > < span class = "keywordflow" > if< / span > (std::isnan(num)) {< / div >
< div class = "line" > < a id = "l00644" name = "l00644" > < / a > < span class = "lineno" > 644< / span > < a class = "code hl_define" href = "base_2logging_8h.html#accad43a85d781d53381cd53a9894b6ae" > LOG< / a > (< a class = "code hl_variable" href = "log__severity_8h.html#ac9bcbe19995a8140cd4ec61773cd6e67" > ERROR< / a > ) < < < span class = "stringliteral" > " The provided input contains " < / span > < < num < < < span class = "stringliteral" > " ." < / span > ;< / div >
< div class = "line" > < a id = "l00645" name = "l00645" > < / a > < span class = "lineno" > 645< / span > < span class = "keywordflow" > return< / span > < span class = "keyword" > true< / span > ;< / div >
< div class = "line" > < a id = "l00646" name = "l00646" > < / a > < span class = "lineno" > 646< / span > }< / div >
< div class = "line" > < a id = "l00647" name = "l00647" > < / a > < span class = "lineno" > 647< / span > }< / div >
< div class = "line" > < a id = "l00648" name = "l00648" > < / a > < span class = "lineno" > 648< / span > }< / div >
< div class = "line" > < a id = "l00649" name = "l00649" > < / a > < span class = "lineno" > 649< / span > < span class = "keywordflow" > return< / span > < span class = "keyword" > false< / span > ;< / div >
< div class = "line" > < a id = "l00650" name = "l00650" > < / a > < span class = "lineno" > 650< / span > }< / div >
< div class = "line" > < a id = "l00651" name = "l00651" > < / a > < span class = "lineno" > 651< / span > < / div >
< div class = "line" > < a id = "l00652" name = "l00652" > < / a > < span class = "lineno" > < a class = "line" href = "namespaceoperations__research.html#a3820c79d78d9c5ec38238699c69e75b1" > 652< / a > < / span > < span class = "keywordtype" > void< / span > < a class = "code hl_function" href = "namespaceoperations__research.html#a3820c79d78d9c5ec38238699c69e75b1" > MinimizeLinearAssignment< / a > (< / div >
< div class = "line" > < a id = "l00653" name = "l00653" > < / a > < span class = "lineno" > 653< / span > < span class = "keyword" > const< / span > std::vector< std::vector< double> > & < a class = "code hl_variable" href = "routing__flow_8cc.html#a75d7b5e4cab1e156cc7a2c5eba1e16f1" > cost< / a > ,< / div >
< div class = "line" > < a id = "l00654" name = "l00654" > < / a > < span class = "lineno" > 654< / span > absl::flat_hash_map< int, int> * direct_assignment,< / div >
< div class = "line" > < a id = "l00655" name = "l00655" > < / a > < span class = "lineno" > 655< / span > absl::flat_hash_map< int, int> * reverse_assignment) {< / div >
< div class = "line" > < a id = "l00656" name = "l00656" > < / a > < span class = "lineno" > 656< / span > < span class = "keywordflow" > if< / span > (< a class = "code hl_function" href = "namespaceoperations__research.html#a891ddf9892fb33be8044e9ac7d58ef3d" > InputContainsNan< / a > (< a class = "code hl_variable" href = "routing__flow_8cc.html#a75d7b5e4cab1e156cc7a2c5eba1e16f1" > cost< / a > )) {< / div >
< div class = "line" > < a id = "l00657" name = "l00657" > < / a > < span class = "lineno" > 657< / span > < a class = "code hl_define" href = "base_2logging_8h.html#accad43a85d781d53381cd53a9894b6ae" > LOG< / a > (< a class = "code hl_variable" href = "log__severity_8h.html#ac9bcbe19995a8140cd4ec61773cd6e67" > ERROR< / a > ) < < < span class = "stringliteral" > " Returning before invoking the Hungarian optimizer." < / span > ;< / div >
< div class = "line" > < a id = "l00658" name = "l00658" > < / a > < span class = "lineno" > 658< / span > < span class = "keywordflow" > return< / span > ;< / div >
< div class = "line" > < a id = "l00659" name = "l00659" > < / a > < span class = "lineno" > 659< / span > }< / div >
< div class = "line" > < a id = "l00660" name = "l00660" > < / a > < span class = "lineno" > 660< / span > std::vector< int> agent;< / div >
< div class = "line" > < a id = "l00661" name = "l00661" > < / a > < span class = "lineno" > 661< / span > std::vector< int> task;< / div >
< div class = "line" > < a id = "l00662" name = "l00662" > < / a > < span class = "lineno" > 662< / span > < a class = "code hl_class" href = "classoperations__research_1_1_hungarian_optimizer.html" > HungarianOptimizer< / a > hungarian_optimizer(< a class = "code hl_variable" href = "routing__flow_8cc.html#a75d7b5e4cab1e156cc7a2c5eba1e16f1" > cost< / a > );< / div >
< div class = "line" > < a id = "l00663" name = "l00663" > < / a > < span class = "lineno" > 663< / span > hungarian_optimizer.< a class = "code hl_function" href = "classoperations__research_1_1_hungarian_optimizer.html#ab14e1591074136eb2ae00cae73c92002" > Minimize< / a > (& agent, & task);< / div >
< div class = "line" > < a id = "l00664" name = "l00664" > < / a > < span class = "lineno" > 664< / span > < span class = "keywordflow" > for< / span > (< span class = "keywordtype" > int< / span > i = 0; i < agent.size(); ++i) {< / div >
< div class = "line" > < a id = "l00665" name = "l00665" > < / a > < span class = "lineno" > 665< / span > (*direct_assignment)[agent[i]] = task[i];< / div >
< div class = "line" > < a id = "l00666" name = "l00666" > < / a > < span class = "lineno" > 666< / span > (*reverse_assignment)[task[i]] = agent[i];< / div >
< div class = "line" > < a id = "l00667" name = "l00667" > < / a > < span class = "lineno" > 667< / span > }< / div >
< div class = "line" > < a id = "l00668" name = "l00668" > < / a > < span class = "lineno" > 668< / span > }< / div >
< div class = "line" > < a id = "l00669" name = "l00669" > < / a > < span class = "lineno" > 669< / span > < / div >
< div class = "line" > < a id = "l00670" name = "l00670" > < / a > < span class = "lineno" > < a class = "line" href = "namespaceoperations__research.html#af5c01de98fc53a984205e3dc05810f93" > 670< / a > < / span > < span class = "keywordtype" > void< / span > < a class = "code hl_function" href = "namespaceoperations__research.html#af5c01de98fc53a984205e3dc05810f93" > MaximizeLinearAssignment< / a > (< / div >
< div class = "line" > < a id = "l00671" name = "l00671" > < / a > < span class = "lineno" > 671< / span > < span class = "keyword" > const< / span > std::vector< std::vector< double> > & < a class = "code hl_variable" href = "routing__flow_8cc.html#a75d7b5e4cab1e156cc7a2c5eba1e16f1" > cost< / a > ,< / div >
< div class = "line" > < a id = "l00672" name = "l00672" > < / a > < span class = "lineno" > 672< / span > absl::flat_hash_map< int, int> * direct_assignment,< / div >
< div class = "line" > < a id = "l00673" name = "l00673" > < / a > < span class = "lineno" > 673< / span > absl::flat_hash_map< int, int> * reverse_assignment) {< / div >
< div class = "line" > < a id = "l00674" name = "l00674" > < / a > < span class = "lineno" > 674< / span > < span class = "keywordflow" > if< / span > (< a class = "code hl_function" href = "namespaceoperations__research.html#a891ddf9892fb33be8044e9ac7d58ef3d" > InputContainsNan< / a > (< a class = "code hl_variable" href = "routing__flow_8cc.html#a75d7b5e4cab1e156cc7a2c5eba1e16f1" > cost< / a > )) {< / div >
< div class = "line" > < a id = "l00675" name = "l00675" > < / a > < span class = "lineno" > 675< / span > < a class = "code hl_define" href = "base_2logging_8h.html#accad43a85d781d53381cd53a9894b6ae" > LOG< / a > (< a class = "code hl_variable" href = "log__severity_8h.html#ac9bcbe19995a8140cd4ec61773cd6e67" > ERROR< / a > ) < < < span class = "stringliteral" > " Returning before invoking the Hungarian optimizer." < / span > ;< / div >
< div class = "line" > < a id = "l00676" name = "l00676" > < / a > < span class = "lineno" > 676< / span > < span class = "keywordflow" > return< / span > ;< / div >
< div class = "line" > < a id = "l00677" name = "l00677" > < / a > < span class = "lineno" > 677< / span > }< / div >
< div class = "line" > < a id = "l00678" name = "l00678" > < / a > < span class = "lineno" > 678< / span > std::vector< int> agent;< / div >
< div class = "line" > < a id = "l00679" name = "l00679" > < / a > < span class = "lineno" > 679< / span > std::vector< int> task;< / div >
< div class = "line" > < a id = "l00680" name = "l00680" > < / a > < span class = "lineno" > 680< / span > < a class = "code hl_class" href = "classoperations__research_1_1_hungarian_optimizer.html" > HungarianOptimizer< / a > hungarian_optimizer(< a class = "code hl_variable" href = "routing__flow_8cc.html#a75d7b5e4cab1e156cc7a2c5eba1e16f1" > cost< / a > );< / div >
< div class = "line" > < a id = "l00681" name = "l00681" > < / a > < span class = "lineno" > 681< / span > hungarian_optimizer.< a class = "code hl_function" href = "classoperations__research_1_1_hungarian_optimizer.html#af9f5df225aff9d876650f829050f78e9" > Maximize< / a > (& agent, & task);< / div >
< div class = "line" > < a id = "l00682" name = "l00682" > < / a > < span class = "lineno" > 682< / span > < span class = "keywordflow" > for< / span > (< span class = "keywordtype" > int< / span > i = 0; i < agent.size(); ++i) {< / div >
< div class = "line" > < a id = "l00683" name = "l00683" > < / a > < span class = "lineno" > 683< / span > (*direct_assignment)[agent[i]] = task[i];< / div >
< div class = "line" > < a id = "l00684" name = "l00684" > < / a > < span class = "lineno" > 684< / span > (*reverse_assignment)[task[i]] = agent[i];< / div >
< div class = "line" > < a id = "l00685" name = "l00685" > < / a > < span class = "lineno" > 685< / span > }< / div >
< div class = "line" > < a id = "l00686" name = "l00686" > < / a > < span class = "lineno" > 686< / span > }< / div >
< div class = "line" > < a id = "l00687" name = "l00687" > < / a > < span class = "lineno" > 687< / span > < / div >
< div class = "line" > < a id = "l00688" name = "l00688" > < / a > < span class = "lineno" > 688< / 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 >
< div class = "ttc" id = "aalldiff__cst_8cc_html_ad10edae0a852d72fb76afb1c77735045" > < div class = "ttname" > < a href = "alldiff__cst_8cc.html#ad10edae0a852d72fb76afb1c77735045" > min< / a > < / div > < div class = "ttdeci" > int64_t min< / div > < div class = "ttdef" > < b > Definition:< / b > < a href = "alldiff__cst_8cc_source.html#l00139" > alldiff_cst.cc:139< / a > < / div > < / div >
< div class = "ttc" id = "abase_2logging_8h_html" > < div class = "ttname" > < a href = "base_2logging_8h.html" > logging.h< / a > < / div > < / div >
< div class = "ttc" id = "abase_2logging_8h_html_accad43a85d781d53381cd53a9894b6ae" > < div class = "ttname" > < a href = "base_2logging_8h.html#accad43a85d781d53381cd53a9894b6ae" > LOG< / a > < / div > < div class = "ttdeci" > #define LOG(severity)< / div > < div class = "ttdef" > < b > Definition:< / b > < a href = "base_2logging_8h_source.html#l00420" > base/logging.h:420< / a > < / div > < / div >
< div class = "ttc" id = "aclassoperations__research_1_1_hungarian_optimizer_html" > < div class = "ttname" > < a href = "classoperations__research_1_1_hungarian_optimizer.html" > operations_research::HungarianOptimizer< / a > < / div > < div class = "ttdef" > < b > Definition:< / b > < a href = "hungarian_8cc_source.html#l00025" > hungarian.cc:25< / a > < / div > < / div >
< div class = "ttc" id = "aclassoperations__research_1_1_hungarian_optimizer_html_aa455dc213fea4e36d805f75f9c196157" > < div class = "ttname" > < a href = "classoperations__research_1_1_hungarian_optimizer.html#aa455dc213fea4e36d805f75f9c196157" > operations_research::HungarianOptimizer::HungarianOptimizer< / a > < / div > < div class = "ttdeci" > HungarianOptimizer(const std::vector< std::vector< double > > & costs)< / div > < div class = "ttdef" > < b > Definition:< / b > < a href = "hungarian_8cc_source.html#l00204" > hungarian.cc:204< / a > < / div > < / div >
< div class = "ttc" id = "aclassoperations__research_1_1_hungarian_optimizer_html_ab14e1591074136eb2ae00cae73c92002" > < div class = "ttname" > < a href = "classoperations__research_1_1_hungarian_optimizer.html#ab14e1591074136eb2ae00cae73c92002" > operations_research::HungarianOptimizer::Minimize< / a > < / div > < div class = "ttdeci" > void Minimize(std::vector< int > *preimage, std::vector< int > *image)< / div > < div class = "ttdef" > < b > Definition:< / b > < a href = "hungarian_8cc_source.html#l00285" > hungarian.cc:285< / a > < / div > < / div >
< div class = "ttc" id = "aclassoperations__research_1_1_hungarian_optimizer_html_af9f5df225aff9d876650f829050f78e9" > < div class = "ttname" > < a href = "classoperations__research_1_1_hungarian_optimizer.html#af9f5df225aff9d876650f829050f78e9" > operations_research::HungarianOptimizer::Maximize< / a > < / div > < div class = "ttdeci" > void Maximize(std::vector< int > *preimage, std::vector< int > *image)< / div > < div class = "ttdef" > < b > Definition:< / b > < a href = "hungarian_8cc_source.html#l00270" > hungarian.cc:270< / a > < / div > < / div >
< div class = "ttc" id = "ahungarian_8h_html" > < div class = "ttname" > < a href = "hungarian_8h.html" > hungarian.h< / a > < / div > < / div >
< div class = "ttc" id = "alog__severity_8h_html_ac9bcbe19995a8140cd4ec61773cd6e67" > < div class = "ttname" > < a href = "log__severity_8h.html#ac9bcbe19995a8140cd4ec61773cd6e67" > ERROR< / a > < / div > < div class = "ttdeci" > const int ERROR< / div > < div class = "ttdef" > < b > Definition:< / b > < a href = "log__severity_8h_source.html#l00032" > log_severity.h:32< / 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 = "amarkowitz_8cc_html_aea35f36ba98d5bbd8d033382f50c9e52" > < div class = "ttname" > < a href = "markowitz_8cc.html#aea35f36ba98d5bbd8d033382f50c9e52" > row< / a > < / div > < div class = "ttdeci" > RowIndex row< / div > < div class = "ttdef" > < b > Definition:< / b > < a href = "markowitz_8cc_source.html#l00182" > markowitz.cc:182< / 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 >
< div class = "ttc" id = "anamespaceoperations__research_html_a3820c79d78d9c5ec38238699c69e75b1" > < div class = "ttname" > < a href = "namespaceoperations__research.html#a3820c79d78d9c5ec38238699c69e75b1" > operations_research::MinimizeLinearAssignment< / a > < / div > < div class = "ttdeci" > void MinimizeLinearAssignment(const std::vector< std::vector< double > > & cost, absl::flat_hash_map< int, int > *direct_assignment, absl::flat_hash_map< int, int > *reverse_assignment)< / div > < div class = "ttdef" > < b > Definition:< / b > < a href = "hungarian_8cc_source.html#l00652" > hungarian.cc:652< / a > < / div > < / div >
< div class = "ttc" id = "anamespaceoperations__research_html_a891ddf9892fb33be8044e9ac7d58ef3d" > < div class = "ttname" > < a href = "namespaceoperations__research.html#a891ddf9892fb33be8044e9ac7d58ef3d" > operations_research::InputContainsNan< / a > < / div > < div class = "ttdeci" > bool InputContainsNan(const std::vector< std::vector< double > > & input)< / div > < div class = "ttdef" > < b > Definition:< / b > < a href = "hungarian_8cc_source.html#l00640" > hungarian.cc:640< / a > < / div > < / div >
< div class = "ttc" id = "anamespaceoperations__research_html_af5c01de98fc53a984205e3dc05810f93" > < div class = "ttname" > < a href = "namespaceoperations__research.html#af5c01de98fc53a984205e3dc05810f93" > operations_research::MaximizeLinearAssignment< / a > < / div > < div class = "ttdeci" > void MaximizeLinearAssignment(const std::vector< std::vector< double > > & cost, absl::flat_hash_map< int, int > *direct_assignment, absl::flat_hash_map< int, int > *reverse_assignment)< / div > < div class = "ttdef" > < b > Definition:< / b > < a href = "hungarian_8cc_source.html#l00670" > hungarian.cc:670< / a > < / div > < / div >
< div class = "ttc" id = "aparser_8yy_8cc_html_a5a634cf4429798b1c921a81de8250051" > < div class = "ttname" > < a href = "parser_8yy_8cc.html#a5a634cf4429798b1c921a81de8250051" > input< / a > < / div > < div class = "ttdeci" > static int input(yyscan_t yyscanner)< / div > < / div >
< div class = "ttc" id = "arouting__flow_8cc_html_a75d7b5e4cab1e156cc7a2c5eba1e16f1" > < div class = "ttname" > < a href = "routing__flow_8cc.html#a75d7b5e4cab1e156cc7a2c5eba1e16f1" > cost< / a > < / div > < div class = "ttdeci" > int64_t cost< / div > < div class = "ttdef" > < b > Definition:< / b > < a href = "routing__flow_8cc_source.html#l00152" > routing_flow.cc:152< / a > < / div > < / div >
2021-01-26 11:28:50 +01:00
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