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< a href = "matrix__utils_8cc.html" > Go to the documentation of this file.< / a > < div class = "fragment" > < div class = "line" > < a name = "l00001" > < / a > < span class = "lineno" > 1< / span >   < span class = "comment" > // Copyright 2010-2021 Google LLC< / span > < / div >
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< div class = "line" > < a name = "l00015" > < / a > < span class = "lineno" > 15< / span >   < / div >
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< div class = "line" > < a name = "l00019" > < / a > < span class = "lineno" > 19< / span >   < span class = "preprocessor" > #include " < a class = "code" href = "hash_8h.html" > ortools/base/hash.h< / a > " < / span > < / div >
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< div class = "line" > < a name = "l00021" > < / a > < span class = "lineno" > 21< / span >   < span class = "keyword" > namespace < / span > < a class = "code" href = "namespaceoperations__research.html" > operations_research< / a > {< / div >
< div class = "line" > < a name = "l00022" > < / a > < span class = "lineno" > 22< / span >   < span class = "keyword" > namespace < / span > glop {< / div >
< div class = "line" > < a name = "l00023" > < / a > < span class = "lineno" > 23< / span >   < / div >
< div class = "line" > < a name = "l00024" > < / a > < span class = "lineno" > 24< / span >   < span class = "keyword" > namespace < / span > {< / div >
< div class = "line" > < a name = "l00025" > < / a > < span class = "lineno" > 25< / span >   < / div >
< div class = "line" > < a name = "l00026" > < / a > < span class = "lineno" > 26< / span >   < span class = "comment" > // Returns true iff the two given sparse columns are proportional. The two< / span > < / div >
< div class = "line" > < a name = "l00027" > < / a > < span class = "lineno" > 27< / span >   < span class = "comment" > // sparse columns must be ordered by row and must not contain any zero entry.< / span > < / div >
< div class = "line" > < a name = "l00028" > < / a > < span class = "lineno" > 28< / span >   < span class = "comment" > //< / span > < / div >
< div class = "line" > < a name = "l00029" > < / a > < span class = "lineno" > 29< / span >   < span class = "comment" > // See the header comment on FindProportionalColumns() for the exact definition< / span > < / div >
< div class = "line" > < a name = "l00030" > < / a > < span class = "lineno" > 30< / span >   < span class = "comment" > // of two proportional columns with a given tolerance.< / span > < / div >
< div class = "line" > < a name = "l00031" > < / a > < span class = "lineno" > 31< / span >   < span class = "keywordtype" > bool< / span > AreColumnsProportional(< span class = "keyword" > const< / span > SparseColumn& < a class = "code" href = "constraint__solver_2table_8cc.html#acb18315d548212835cd8ed4287e6c0b6" > a< / a > , < span class = "keyword" > const< / span > SparseColumn& < a class = "code" href = "constraint__solver_2table_8cc.html#a9293e4d29cac928301645070dd307683" > b< / a > ,< / div >
< div class = "line" > < a name = "l00032" > < / a > < span class = "lineno" > 32< / span >   < a class = "code" href = "namespaceoperations__research_1_1glop.html#a733947145e3e1631165b618b05c9ccb7" > Fractional< / a > tolerance) {< / div >
< div class = "line" > < a name = "l00033" > < / a > < span class = "lineno" > 33< / span >   < a class = "code" href = "base_2logging_8h.html#ae17f8119c108cf3070bad3449c7e0006" > DCHECK< / a > (< a class = "code" href = "constraint__solver_2table_8cc.html#acb18315d548212835cd8ed4287e6c0b6" > a< / a > .IsCleanedUp());< / div >
< div class = "line" > < a name = "l00034" > < / a > < span class = "lineno" > 34< / span >   < a class = "code" href = "base_2logging_8h.html#ae17f8119c108cf3070bad3449c7e0006" > DCHECK< / a > (< a class = "code" href = "constraint__solver_2table_8cc.html#a9293e4d29cac928301645070dd307683" > b< / a > .IsCleanedUp());< / div >
< div class = "line" > < a name = "l00035" > < / a > < span class = "lineno" > 35< / span >   < span class = "keywordflow" > if< / span > (< a class = "code" href = "constraint__solver_2table_8cc.html#acb18315d548212835cd8ed4287e6c0b6" > a< / a > .num_entries() != < a class = "code" href = "constraint__solver_2table_8cc.html#a9293e4d29cac928301645070dd307683" > b< / a > .num_entries()) < span class = "keywordflow" > return< / span > < span class = "keyword" > false< / span > ;< / div >
< div class = "line" > < a name = "l00036" > < / a > < span class = "lineno" > 36< / span >   < a class = "code" href = "namespaceoperations__research_1_1glop.html#a733947145e3e1631165b618b05c9ccb7" > Fractional< / a > multiple = 0.0;< / div >
< div class = "line" > < a name = "l00037" > < / a > < span class = "lineno" > 37< / span >   < span class = "keywordtype" > bool< / span > a_is_larger = < span class = "keyword" > true< / span > ;< / div >
< div class = "line" > < a name = "l00038" > < / a > < span class = "lineno" > 38< / span >   < span class = "keywordflow" > for< / span > (< span class = "keyword" > const< / span > EntryIndex i : < a class = "code" href = "constraint__solver_2table_8cc.html#acb18315d548212835cd8ed4287e6c0b6" > a< / a > .AllEntryIndices()) {< / div >
< div class = "line" > < a name = "l00039" > < / a > < span class = "lineno" > 39< / span >   < span class = "keywordflow" > if< / span > (< a class = "code" href = "constraint__solver_2table_8cc.html#acb18315d548212835cd8ed4287e6c0b6" > a< / a > .EntryRow(i) != < a class = "code" href = "constraint__solver_2table_8cc.html#a9293e4d29cac928301645070dd307683" > b< / a > .EntryRow(i)) < span class = "keywordflow" > return< / span > < span class = "keyword" > false< / span > ;< / div >
< div class = "line" > < a name = "l00040" > < / a > < span class = "lineno" > 40< / span >   < span class = "keyword" > const< / span > < a class = "code" href = "namespaceoperations__research_1_1glop.html#a733947145e3e1631165b618b05c9ccb7" > Fractional< / a > coeff_a = < a class = "code" href = "constraint__solver_2table_8cc.html#acb18315d548212835cd8ed4287e6c0b6" > a< / a > .EntryCoefficient(i);< / div >
< div class = "line" > < a name = "l00041" > < / a > < span class = "lineno" > 41< / span >   < span class = "keyword" > const< / span > < a class = "code" href = "namespaceoperations__research_1_1glop.html#a733947145e3e1631165b618b05c9ccb7" > Fractional< / a > coeff_b = < a class = "code" href = "constraint__solver_2table_8cc.html#a9293e4d29cac928301645070dd307683" > b< / a > .EntryCoefficient(i);< / div >
< div class = "line" > < a name = "l00042" > < / a > < span class = "lineno" > 42< / span >   < span class = "keywordflow" > if< / span > (multiple == 0.0) {< / div >
< div class = "line" > < a name = "l00043" > < / a > < span class = "lineno" > 43< / span >   a_is_larger = std::abs(coeff_a) > std::abs(coeff_b);< / div >
< div class = "line" > < a name = "l00044" > < / a > < span class = "lineno" > 44< / span >   multiple = a_is_larger ? coeff_a / coeff_b : coeff_b / coeff_a;< / div >
< div class = "line" > < a name = "l00045" > < / a > < span class = "lineno" > 45< / span >   } < span class = "keywordflow" > else< / span > {< / div >
< div class = "line" > < a name = "l00046" > < / a > < span class = "lineno" > 46< / span >   < span class = "keywordflow" > if< / span > (a_is_larger) {< / div >
< div class = "line" > < a name = "l00047" > < / a > < span class = "lineno" > 47< / span >   < span class = "keywordflow" > if< / span > (std::abs(coeff_a / coeff_b - multiple) > tolerance) < span class = "keywordflow" > return< / span > < span class = "keyword" > false< / span > ;< / div >
< div class = "line" > < a name = "l00048" > < / a > < span class = "lineno" > 48< / span >   } < span class = "keywordflow" > else< / span > {< / div >
< div class = "line" > < a name = "l00049" > < / a > < span class = "lineno" > 49< / span >   < span class = "keywordflow" > if< / span > (std::abs(coeff_b / coeff_a - multiple) > tolerance) < span class = "keywordflow" > return< / span > < span class = "keyword" > false< / span > ;< / div >
< div class = "line" > < a name = "l00050" > < / a > < span class = "lineno" > 50< / span >   }< / div >
< div class = "line" > < a name = "l00051" > < / a > < span class = "lineno" > 51< / span >   }< / div >
< div class = "line" > < a name = "l00052" > < / a > < span class = "lineno" > 52< / span >   }< / div >
< div class = "line" > < a name = "l00053" > < / a > < span class = "lineno" > 53< / span >   < span class = "keywordflow" > return< / span > < span class = "keyword" > true< / span > ;< / div >
< div class = "line" > < a name = "l00054" > < / a > < span class = "lineno" > 54< / span >   }< / div >
< div class = "line" > < a name = "l00055" > < / a > < span class = "lineno" > 55< / span >   < / div >
< div class = "line" > < a name = "l00056" > < / a > < span class = "lineno" > 56< / span >   < span class = "comment" > // A column index together with its fingerprint. See ComputeFingerprint().< / span > < / div >
< div class = "line" > < a name = "l00057" > < / a > < span class = "lineno" > 57< / span >   < span class = "keyword" > struct < / span > ColumnFingerprint {< / div >
< div class = "line" > < a name = "l00058" > < / a > < span class = "lineno" > 58< / span >   ColumnFingerprint(ColIndex _col, int64_t _hash, < span class = "keywordtype" > double< / span > _value)< / div >
< div class = "line" > < a name = "l00059" > < / a > < span class = "lineno" > 59< / span >   : < a class = "code" href = "matrix__utils_8cc.html#aa9d6c98fdf8d89b0e2321fda02adc82c" > col< / a > (_col), < a class = "code" href = "matrix__utils_8cc.html#a95d4078c018ac04247ee3785eab30e7b" > hash< / a > (_hash), < a class = "code" href = "matrix__utils_8cc.html#aee90379adb0307effb138f4871edbc5c" > value< / a > (_value) {}< / div >
< div class = "line" > < a name = "l00060" > < / a > < span class = "lineno" > < a class = "line" href = "matrix__utils_8cc.html#aa9d6c98fdf8d89b0e2321fda02adc82c" > 60< / a > < / span >   ColIndex < a class = "code" href = "matrix__utils_8cc.html#aa9d6c98fdf8d89b0e2321fda02adc82c" > col< / a > ;< / div >
< div class = "line" > < a name = "l00061" > < / a > < span class = "lineno" > < a class = "line" href = "matrix__utils_8cc.html#a95d4078c018ac04247ee3785eab30e7b" > 61< / a > < / span >   int64_t < a class = "code" href = "matrix__utils_8cc.html#a95d4078c018ac04247ee3785eab30e7b" > hash< / a > ;< / div >
< div class = "line" > < a name = "l00062" > < / a > < span class = "lineno" > < a class = "line" href = "matrix__utils_8cc.html#aee90379adb0307effb138f4871edbc5c" > 62< / a > < / span >   < span class = "keywordtype" > double< / span > < a class = "code" href = "matrix__utils_8cc.html#aee90379adb0307effb138f4871edbc5c" > value< / a > ;< / div >
< div class = "line" > < a name = "l00063" > < / a > < span class = "lineno" > 63< / span >   < / div >
< div class = "line" > < a name = "l00064" > < / a > < span class = "lineno" > 64< / span >   < span class = "comment" > // This order has the property that if AreProportionalCandidates() is true for< / span > < / div >
< div class = "line" > < a name = "l00065" > < / a > < span class = "lineno" > 65< / span >   < span class = "comment" > // two given columns, then in a sorted list of columns< / span > < / div >
< div class = "line" > < a name = "l00066" > < / a > < span class = "lineno" > 66< / span >   < span class = "comment" > // AreProportionalCandidates() will be true for all the pairs of columns< / span > < / div >
< div class = "line" > < a name = "l00067" > < / a > < span class = "lineno" > 67< / span >   < span class = "comment" > // between the two given ones (included).< / span > < / div >
< div class = "line" > < a name = "l00068" > < / a > < span class = "lineno" > 68< / span >   < span class = "keywordtype" > bool< / span > operator< (< span class = "keyword" > const< / span > ColumnFingerprint& other)< span class = "keyword" > const < / span > {< / div >
< div class = "line" > < a name = "l00069" > < / a > < span class = "lineno" > 69< / span >   < span class = "keywordflow" > if< / span > (< a class = "code" href = "matrix__utils_8cc.html#a95d4078c018ac04247ee3785eab30e7b" > hash< / a > == other.hash) {< / div >
< div class = "line" > < a name = "l00070" > < / a > < span class = "lineno" > 70< / span >   < span class = "keywordflow" > return< / span > < a class = "code" href = "matrix__utils_8cc.html#aee90379adb0307effb138f4871edbc5c" > value< / a > < other.value;< / div >
< div class = "line" > < a name = "l00071" > < / a > < span class = "lineno" > 71< / span >   }< / div >
< div class = "line" > < a name = "l00072" > < / a > < span class = "lineno" > 72< / span >   < span class = "keywordflow" > return< / span > < a class = "code" href = "matrix__utils_8cc.html#a95d4078c018ac04247ee3785eab30e7b" > hash< / a > < other.hash;< / div >
< div class = "line" > < a name = "l00073" > < / a > < span class = "lineno" > 73< / span >   }< / div >
< div class = "line" > < a name = "l00074" > < / a > < span class = "lineno" > 74< / span >   };< / div >
< div class = "line" > < a name = "l00075" > < / a > < span class = "lineno" > 75< / span >   < / div >
< div class = "line" > < a name = "l00076" > < / a > < span class = "lineno" > 76< / span >   < span class = "comment" > // Two columns can be proportional only if:< / span > < / div >
< div class = "line" > < a name = "l00077" > < / a > < span class = "lineno" > 77< / span >   < span class = "comment" > // - Their non-zero pattern hashes are the same.< / span > < / div >
< div class = "line" > < a name = "l00078" > < / a > < span class = "lineno" > 78< / span >   < span class = "comment" > // - Their double fingerprints are close to each other.< / span > < / div >
< div class = "line" > < a name = "l00079" > < / a > < span class = "lineno" > 79< / span >   < span class = "keywordtype" > bool< / span > AreProportionalCandidates(ColumnFingerprint < a class = "code" href = "constraint__solver_2table_8cc.html#acb18315d548212835cd8ed4287e6c0b6" > a< / a > , ColumnFingerprint < a class = "code" href = "constraint__solver_2table_8cc.html#a9293e4d29cac928301645070dd307683" > b< / a > ,< / div >
< div class = "line" > < a name = "l00080" > < / a > < span class = "lineno" > 80< / span >   < a class = "code" href = "namespaceoperations__research_1_1glop.html#a733947145e3e1631165b618b05c9ccb7" > Fractional< / a > tolerance) {< / div >
< div class = "line" > < a name = "l00081" > < / a > < span class = "lineno" > 81< / span >   < span class = "keywordflow" > if< / span > (< a class = "code" href = "constraint__solver_2table_8cc.html#acb18315d548212835cd8ed4287e6c0b6" > a< / a > .hash != < a class = "code" href = "constraint__solver_2table_8cc.html#a9293e4d29cac928301645070dd307683" > b< / a > .hash) < span class = "keywordflow" > return< / span > < span class = "keyword" > false< / span > ;< / div >
< div class = "line" > < a name = "l00082" > < / a > < span class = "lineno" > 82< / span >   < span class = "keywordflow" > return< / span > std::abs(< a class = "code" href = "constraint__solver_2table_8cc.html#acb18315d548212835cd8ed4287e6c0b6" > a< / a > .value - < a class = "code" href = "constraint__solver_2table_8cc.html#a9293e4d29cac928301645070dd307683" > b< / a > .value) < tolerance;< / div >
< div class = "line" > < a name = "l00083" > < / a > < span class = "lineno" > 83< / span >   }< / div >
< div class = "line" > < a name = "l00084" > < / a > < span class = "lineno" > 84< / span >   < / div >
< div class = "line" > < a name = "l00085" > < / a > < span class = "lineno" > 85< / span >   < span class = "comment" > // The fingerprint of a column has two parts:< / span > < / div >
< div class = "line" > < a name = "l00086" > < / a > < span class = "lineno" > 86< / span >   < span class = "comment" > // - A hash value of the column non-zero pattern.< / span > < / div >
< div class = "line" > < a name = "l00087" > < / a > < span class = "lineno" > 87< / span >   < span class = "comment" > // - A double value which should be the same for two proportional columns< / span > < / div >
< div class = "line" > < a name = "l00088" > < / a > < span class = "lineno" > 88< / span >   < span class = "comment" > // modulo numerical errors.< / span > < / div >
< div class = "line" > < a name = "l00089" > < / a > < span class = "lineno" > 89< / span >   ColumnFingerprint ComputeFingerprint(ColIndex < a class = "code" href = "matrix__utils_8cc.html#aa9d6c98fdf8d89b0e2321fda02adc82c" > col< / a > , < span class = "keyword" > const< / span > SparseColumn& column) {< / div >
< div class = "line" > < a name = "l00090" > < / a > < span class = "lineno" > 90< / span >   int64_t non_zero_pattern_hash = 0;< / div >
< div class = "line" > < a name = "l00091" > < / a > < span class = "lineno" > 91< / span >   < a class = "code" href = "namespaceoperations__research_1_1glop.html#a733947145e3e1631165b618b05c9ccb7" > Fractional< / a > min_abs = < a class = "code" href = "alldiff__cst_8cc.html#a26e6db9bcc64b584051ecc28171ed11f" > std::numeric_limits< Fractional> ::max< / a > ();< / div >
< div class = "line" > < a name = "l00092" > < / a > < span class = "lineno" > 92< / span >   < a class = "code" href = "namespaceoperations__research_1_1glop.html#a733947145e3e1631165b618b05c9ccb7" > Fractional< / a > max_abs = 0.0;< / div >
< div class = "line" > < a name = "l00093" > < / a > < span class = "lineno" > 93< / span >   < a class = "code" href = "namespaceoperations__research_1_1glop.html#a733947145e3e1631165b618b05c9ccb7" > Fractional< / a > sum = 0.0;< / div >
< div class = "line" > < a name = "l00094" > < / a > < span class = "lineno" > 94< / span >   < span class = "keywordflow" > for< / span > (< span class = "keyword" > const< / span > < a class = "code" href = "classoperations__research_1_1glop_1_1_sparse_vector.html#ab38326ea6cb6187267665dd8b2748f3d" > SparseColumn::Entry< / a > e : column) {< / div >
< div class = "line" > < a name = "l00095" > < / a > < span class = "lineno" > 95< / span >   non_zero_pattern_hash =< / div >
< div class = "line" > < a name = "l00096" > < / a > < span class = "lineno" > 96< / span >   < a class = "code" href = "namespaceutil__hash.html#a17715af1c1bc575a706eb167371b81e9" > util_hash::Hash< / a > (e.row().value(), non_zero_pattern_hash);< / div >
< div class = "line" > < a name = "l00097" > < / a > < span class = "lineno" > 97< / span >   sum += e.coefficient();< / div >
< div class = "line" > < a name = "l00098" > < / a > < span class = "lineno" > 98< / span >   min_abs = < a class = "code" href = "alldiff__cst_8cc.html#ad10edae0a852d72fb76afb1c77735045" > std::min< / a > (min_abs, std::abs(e.coefficient()));< / div >
< div class = "line" > < a name = "l00099" > < / a > < span class = "lineno" > 99< / span >   max_abs = < a class = "code" href = "alldiff__cst_8cc.html#a26e6db9bcc64b584051ecc28171ed11f" > std::max< / a > (max_abs, std::abs(e.coefficient()));< / div >
< div class = "line" > < a name = "l00100" > < / a > < span class = "lineno" > 100< / span >   }< / div >
< div class = "line" > < a name = "l00101" > < / a > < span class = "lineno" > 101< / span >   < / div >
< div class = "line" > < a name = "l00102" > < / a > < span class = "lineno" > 102< / span >   < span class = "comment" > // The two scaled values are in [0, 1].< / span > < / div >
< div class = "line" > < a name = "l00103" > < / a > < span class = "lineno" > 103< / span >   < span class = "comment" > // TODO(user): A better way to discriminate columns would be to take the< / span > < / div >
< div class = "line" > < a name = "l00104" > < / a > < span class = "lineno" > 104< / span >   < span class = "comment" > // scalar product with a constant but random vector scaled by max_abs.< / span > < / div >
< div class = "line" > < a name = "l00105" > < / a > < span class = "lineno" > 105< / span >   < a class = "code" href = "base_2logging_8h.html#a46e69120fbd3b36e6960e096d23b66f0" > DCHECK_NE< / a > (0.0, max_abs);< / div >
< div class = "line" > < a name = "l00106" > < / a > < span class = "lineno" > 106< / span >   < span class = "keyword" > const< / span > < span class = "keywordtype" > double< / span > inverse_dynamic_range = min_abs / max_abs;< / div >
< div class = "line" > < a name = "l00107" > < / a > < span class = "lineno" > 107< / span >   < span class = "keyword" > const< / span > < span class = "keywordtype" > double< / span > scaled_average =< / div >
< div class = "line" > < a name = "l00108" > < / a > < span class = "lineno" > 108< / span >   std::abs(sum) /< / div >
< div class = "line" > < a name = "l00109" > < / a > < span class = "lineno" > 109< / span >   (< span class = "keyword" > static_cast< < / span > < span class = "keywordtype" > double< / span > < span class = "keyword" > > < / span > (column.num_entries().value()) * max_abs);< / div >
< div class = "line" > < a name = "l00110" > < / a > < span class = "lineno" > 110< / span >   < span class = "keywordflow" > return< / span > ColumnFingerprint(< a class = "code" href = "matrix__utils_8cc.html#aa9d6c98fdf8d89b0e2321fda02adc82c" > col< / a > , non_zero_pattern_hash,< / div >
< div class = "line" > < a name = "l00111" > < / a > < span class = "lineno" > 111< / span >   inverse_dynamic_range + scaled_average);< / div >
< div class = "line" > < a name = "l00112" > < / a > < span class = "lineno" > 112< / span >   }< / div >
< div class = "line" > < a name = "l00113" > < / a > < span class = "lineno" > 113< / span >   < / div >
< div class = "line" > < a name = "l00114" > < / a > < span class = "lineno" > 114< / span >   } < span class = "comment" > // namespace< / span > < / div >
< div class = "line" > < a name = "l00115" > < / a > < span class = "lineno" > 115< / span >   < / div >
< div class = "line" > < a name = "l00116" > < / a > < span class = "lineno" > < a class = "line" href = "namespaceoperations__research_1_1glop.html#ac9bef291f9b941569978d0f075144abf" > 116< / a > < / span >   < a class = "code" href = "classoperations__research_1_1glop_1_1_strict_i_t_i_vector.html" > ColMapping< / a > < a class = "code" href = "namespaceoperations__research_1_1glop.html#ac9bef291f9b941569978d0f075144abf" > FindProportionalColumns< / a > (< span class = "keyword" > const< / span > < a class = "code" href = "classoperations__research_1_1glop_1_1_sparse_matrix.html" > SparseMatrix< / a > & matrix,< / div >
< div class = "line" > < a name = "l00117" > < / a > < span class = "lineno" > 117< / span >   < a class = "code" href = "namespaceoperations__research_1_1glop.html#a733947145e3e1631165b618b05c9ccb7" > Fractional< / a > tolerance) {< / div >
< div class = "line" > < a name = "l00118" > < / a > < span class = "lineno" > 118< / span >   < span class = "keyword" > const< / span > ColIndex num_cols = matrix.< a class = "code" href = "classoperations__research_1_1glop_1_1_sparse_matrix.html#a41741829541d089f1c4d34f190884813" > num_cols< / a > ();< / div >
< div class = "line" > < a name = "l00119" > < / a > < span class = "lineno" > 119< / span >   < a class = "code" href = "classoperations__research_1_1glop_1_1_strict_i_t_i_vector.html" > ColMapping< / a > mapping(num_cols, < a class = "code" href = "namespaceoperations__research_1_1glop.html#afb755b7934d8679476e2f05a89739bcd" > kInvalidCol< / a > );< / div >
< div class = "line" > < a name = "l00120" > < / a > < span class = "lineno" > 120< / span >   < / div >
< div class = "line" > < a name = "l00121" > < / a > < span class = "lineno" > 121< / span >   < span class = "comment" > // Compute the fingerprint of each columns and sort them.< / span > < / div >
< div class = "line" > < a name = "l00122" > < / a > < span class = "lineno" > 122< / span >   std::vector< ColumnFingerprint> fingerprints;< / div >
< div class = "line" > < a name = "l00123" > < / a > < span class = "lineno" > 123< / span >   < span class = "keywordflow" > for< / span > (ColIndex < a class = "code" href = "matrix__utils_8cc.html#aa9d6c98fdf8d89b0e2321fda02adc82c" > col< / a > (0); < a class = "code" href = "matrix__utils_8cc.html#aa9d6c98fdf8d89b0e2321fda02adc82c" > col< / a > < num_cols; ++< a class = "code" href = "matrix__utils_8cc.html#aa9d6c98fdf8d89b0e2321fda02adc82c" > col< / a > ) {< / div >
< div class = "line" > < a name = "l00124" > < / a > < span class = "lineno" > 124< / span >   < span class = "keywordflow" > if< / span > (!matrix.< a class = "code" href = "classoperations__research_1_1glop_1_1_sparse_matrix.html#adc6b282d2cc7afc75b60ee44a6bfb2ac" > column< / a > (< a class = "code" href = "matrix__utils_8cc.html#aa9d6c98fdf8d89b0e2321fda02adc82c" > col< / a > ).< a class = "code" href = "classoperations__research_1_1glop_1_1_sparse_vector.html#a8e12342fc420701fbffd97025421575a" > IsEmpty< / a > ()) {< / div >
< div class = "line" > < a name = "l00125" > < / a > < span class = "lineno" > 125< / span >   fingerprints.push_back(ComputeFingerprint(< a class = "code" href = "matrix__utils_8cc.html#aa9d6c98fdf8d89b0e2321fda02adc82c" > col< / a > , matrix.< a class = "code" href = "classoperations__research_1_1glop_1_1_sparse_matrix.html#adc6b282d2cc7afc75b60ee44a6bfb2ac" > column< / a > (< a class = "code" href = "matrix__utils_8cc.html#aa9d6c98fdf8d89b0e2321fda02adc82c" > col< / a > )));< / div >
< div class = "line" > < a name = "l00126" > < / a > < span class = "lineno" > 126< / span >   }< / div >
< div class = "line" > < a name = "l00127" > < / a > < span class = "lineno" > 127< / span >   }< / div >
< div class = "line" > < a name = "l00128" > < / a > < span class = "lineno" > 128< / span >   std::sort(fingerprints.begin(), fingerprints.end());< / div >
< div class = "line" > < a name = "l00129" > < / a > < span class = "lineno" > 129< / span >   < / div >
< div class = "line" > < a name = "l00130" > < / a > < span class = "lineno" > 130< / span >   < span class = "comment" > // Find a representative of each proportional columns class. This only< / span > < / div >
< div class = "line" > < a name = "l00131" > < / a > < span class = "lineno" > 131< / span >   < span class = "comment" > // compares columns with a close-enough fingerprint.< / span > < / div >
< div class = "line" > < a name = "l00132" > < / a > < span class = "lineno" > 132< / span >   < span class = "keywordflow" > for< / span > (< span class = "keywordtype" > int< / span > i = 0; i < fingerprints.size(); ++i) {< / div >
< div class = "line" > < a name = "l00133" > < / a > < span class = "lineno" > 133< / span >   < span class = "keyword" > const< / span > ColIndex col_a = fingerprints[i].col;< / div >
< div class = "line" > < a name = "l00134" > < / a > < span class = "lineno" > 134< / span >   < span class = "keywordflow" > if< / span > (mapping[col_a] != < a class = "code" href = "namespaceoperations__research_1_1glop.html#afb755b7934d8679476e2f05a89739bcd" > kInvalidCol< / a > ) < span class = "keywordflow" > continue< / span > ;< / div >
< div class = "line" > < a name = "l00135" > < / a > < span class = "lineno" > 135< / span >   < span class = "keywordflow" > for< / span > (< span class = "keywordtype" > int< / span > j = i + 1; j < fingerprints.size(); ++j) {< / div >
< div class = "line" > < a name = "l00136" > < / a > < span class = "lineno" > 136< / span >   < span class = "keyword" > const< / span > ColIndex col_b = fingerprints[j].col;< / div >
< div class = "line" > < a name = "l00137" > < / a > < span class = "lineno" > 137< / span >   < span class = "keywordflow" > if< / span > (mapping[col_b] != < a class = "code" href = "namespaceoperations__research_1_1glop.html#afb755b7934d8679476e2f05a89739bcd" > kInvalidCol< / a > ) < span class = "keywordflow" > continue< / span > ;< / div >
< div class = "line" > < a name = "l00138" > < / a > < span class = "lineno" > 138< / span >   < / div >
< div class = "line" > < a name = "l00139" > < / a > < span class = "lineno" > 139< / span >   < span class = "comment" > // Note that we use the same tolerance for the fingerprints.< / span > < / div >
< div class = "line" > < a name = "l00140" > < / a > < span class = "lineno" > 140< / span >   < span class = "comment" > // TODO(user): Derive precise bounds on what this tolerance should be so< / span > < / div >
< div class = "line" > < a name = "l00141" > < / a > < span class = "lineno" > 141< / span >   < span class = "comment" > // that no proportional columns are missed.< / span > < / div >
< div class = "line" > < a name = "l00142" > < / a > < span class = "lineno" > 142< / span >   < span class = "keywordflow" > if< / span > (!AreProportionalCandidates(fingerprints[i], fingerprints[j],< / div >
< div class = "line" > < a name = "l00143" > < / a > < span class = "lineno" > 143< / span >   tolerance)) {< / div >
< div class = "line" > < a name = "l00144" > < / a > < span class = "lineno" > 144< / span >   < span class = "keywordflow" > break< / span > ;< / div >
< div class = "line" > < a name = "l00145" > < / a > < span class = "lineno" > 145< / span >   }< / div >
< div class = "line" > < a name = "l00146" > < / a > < span class = "lineno" > 146< / span >   < span class = "keywordflow" > if< / span > (AreColumnsProportional(matrix.< a class = "code" href = "classoperations__research_1_1glop_1_1_sparse_matrix.html#adc6b282d2cc7afc75b60ee44a6bfb2ac" > column< / a > (col_a), matrix.< a class = "code" href = "classoperations__research_1_1glop_1_1_sparse_matrix.html#adc6b282d2cc7afc75b60ee44a6bfb2ac" > column< / a > (col_b),< / div >
< div class = "line" > < a name = "l00147" > < / a > < span class = "lineno" > 147< / span >   tolerance)) {< / div >
< div class = "line" > < a name = "l00148" > < / a > < span class = "lineno" > 148< / span >   mapping[col_b] = col_a;< / div >
< div class = "line" > < a name = "l00149" > < / a > < span class = "lineno" > 149< / span >   }< / div >
< div class = "line" > < a name = "l00150" > < / a > < span class = "lineno" > 150< / span >   }< / div >
< div class = "line" > < a name = "l00151" > < / a > < span class = "lineno" > 151< / span >   }< / div >
< div class = "line" > < a name = "l00152" > < / a > < span class = "lineno" > 152< / span >   < / div >
< div class = "line" > < a name = "l00153" > < / a > < span class = "lineno" > 153< / span >   < span class = "comment" > // Sort the mapping so that the representative of each class is the smallest< / span > < / div >
< div class = "line" > < a name = "l00154" > < / a > < span class = "lineno" > 154< / span >   < span class = "comment" > // column. To achieve this, the current representative is used as a pointer< / span > < / div >
< div class = "line" > < a name = "l00155" > < / a > < span class = "lineno" > 155< / span >   < span class = "comment" > // to the new one, a bit like in an union find algorithm.< / span > < / div >
< div class = "line" > < a name = "l00156" > < / a > < span class = "lineno" > 156< / span >   < span class = "keywordflow" > for< / span > (ColIndex < a class = "code" href = "matrix__utils_8cc.html#aa9d6c98fdf8d89b0e2321fda02adc82c" > col< / a > (0); < a class = "code" href = "matrix__utils_8cc.html#aa9d6c98fdf8d89b0e2321fda02adc82c" > col< / a > < num_cols; ++< a class = "code" href = "matrix__utils_8cc.html#aa9d6c98fdf8d89b0e2321fda02adc82c" > col< / a > ) {< / div >
< div class = "line" > < a name = "l00157" > < / a > < span class = "lineno" > 157< / span >   < span class = "keywordflow" > if< / span > (mapping[< a class = "code" href = "matrix__utils_8cc.html#aa9d6c98fdf8d89b0e2321fda02adc82c" > col< / a > ] == < a class = "code" href = "namespaceoperations__research_1_1glop.html#afb755b7934d8679476e2f05a89739bcd" > kInvalidCol< / a > ) < span class = "keywordflow" > continue< / span > ;< / div >
< div class = "line" > < a name = "l00158" > < / a > < span class = "lineno" > 158< / span >   < span class = "keyword" > const< / span > ColIndex new_representative = mapping[mapping[< a class = "code" href = "matrix__utils_8cc.html#aa9d6c98fdf8d89b0e2321fda02adc82c" > col< / a > ]];< / div >
< div class = "line" > < a name = "l00159" > < / a > < span class = "lineno" > 159< / span >   < span class = "keywordflow" > if< / span > (new_representative != < a class = "code" href = "namespaceoperations__research_1_1glop.html#afb755b7934d8679476e2f05a89739bcd" > kInvalidCol< / a > ) {< / div >
< div class = "line" > < a name = "l00160" > < / a > < span class = "lineno" > 160< / span >   mapping[< a class = "code" href = "matrix__utils_8cc.html#aa9d6c98fdf8d89b0e2321fda02adc82c" > col< / a > ] = new_representative;< / div >
< div class = "line" > < a name = "l00161" > < / a > < span class = "lineno" > 161< / span >   } < span class = "keywordflow" > else< / span > {< / div >
< div class = "line" > < a name = "l00162" > < / a > < span class = "lineno" > 162< / span >   < span class = "keywordflow" > if< / span > (mapping[< a class = "code" href = "matrix__utils_8cc.html#aa9d6c98fdf8d89b0e2321fda02adc82c" > col< / a > ] > < a class = "code" href = "matrix__utils_8cc.html#aa9d6c98fdf8d89b0e2321fda02adc82c" > col< / a > ) {< / div >
< div class = "line" > < a name = "l00163" > < / a > < span class = "lineno" > 163< / span >   mapping[mapping[< a class = "code" href = "matrix__utils_8cc.html#aa9d6c98fdf8d89b0e2321fda02adc82c" > col< / a > ]] = < a class = "code" href = "matrix__utils_8cc.html#aa9d6c98fdf8d89b0e2321fda02adc82c" > col< / a > ;< / div >
< div class = "line" > < a name = "l00164" > < / a > < span class = "lineno" > 164< / span >   mapping[< a class = "code" href = "matrix__utils_8cc.html#aa9d6c98fdf8d89b0e2321fda02adc82c" > col< / a > ] = < a class = "code" href = "namespaceoperations__research_1_1glop.html#afb755b7934d8679476e2f05a89739bcd" > kInvalidCol< / a > ;< / div >
< div class = "line" > < a name = "l00165" > < / a > < span class = "lineno" > 165< / span >   }< / div >
< div class = "line" > < a name = "l00166" > < / a > < span class = "lineno" > 166< / span >   }< / div >
< div class = "line" > < a name = "l00167" > < / a > < span class = "lineno" > 167< / span >   }< / div >
< div class = "line" > < a name = "l00168" > < / a > < span class = "lineno" > 168< / span >   < / div >
< div class = "line" > < a name = "l00169" > < / a > < span class = "lineno" > 169< / span >   < span class = "keywordflow" > return< / span > mapping;< / div >
< div class = "line" > < a name = "l00170" > < / a > < span class = "lineno" > 170< / span >   }< / div >
< div class = "line" > < a name = "l00171" > < / a > < span class = "lineno" > 171< / span >   < / div >
< div class = "line" > < a name = "l00172" > < / a > < span class = "lineno" > < a class = "line" href = "namespaceoperations__research_1_1glop.html#a1ee4943cf389e6ff8159924ea5b048e1" > 172< / a > < / span >   < a class = "code" href = "classoperations__research_1_1glop_1_1_strict_i_t_i_vector.html" > ColMapping< / a > < a class = "code" href = "namespaceoperations__research_1_1glop.html#a1ee4943cf389e6ff8159924ea5b048e1" > FindProportionalColumnsUsingSimpleAlgorithm< / a > (< / div >
< div class = "line" > < a name = "l00173" > < / a > < span class = "lineno" > 173< / span >   < span class = "keyword" > const< / span > < a class = "code" href = "classoperations__research_1_1glop_1_1_sparse_matrix.html" > SparseMatrix< / a > & matrix, < a class = "code" href = "namespaceoperations__research_1_1glop.html#a733947145e3e1631165b618b05c9ccb7" > Fractional< / a > tolerance) {< / div >
< div class = "line" > < a name = "l00174" > < / a > < span class = "lineno" > 174< / span >   < span class = "keyword" > const< / span > ColIndex num_cols = matrix.< a class = "code" href = "classoperations__research_1_1glop_1_1_sparse_matrix.html#a41741829541d089f1c4d34f190884813" > num_cols< / a > ();< / div >
< div class = "line" > < a name = "l00175" > < / a > < span class = "lineno" > 175< / span >   < a class = "code" href = "classoperations__research_1_1glop_1_1_strict_i_t_i_vector.html" > ColMapping< / a > mapping(num_cols, < a class = "code" href = "namespaceoperations__research_1_1glop.html#afb755b7934d8679476e2f05a89739bcd" > kInvalidCol< / a > );< / div >
< div class = "line" > < a name = "l00176" > < / a > < span class = "lineno" > 176< / span >   < span class = "keywordflow" > for< / span > (ColIndex col_a(0); col_a < num_cols; ++col_a) {< / div >
< div class = "line" > < a name = "l00177" > < / a > < span class = "lineno" > 177< / span >   < span class = "keywordflow" > if< / span > (matrix.< a class = "code" href = "classoperations__research_1_1glop_1_1_sparse_matrix.html#adc6b282d2cc7afc75b60ee44a6bfb2ac" > column< / a > (col_a).< a class = "code" href = "classoperations__research_1_1glop_1_1_sparse_vector.html#a8e12342fc420701fbffd97025421575a" > IsEmpty< / a > ()) < span class = "keywordflow" > continue< / span > ;< / div >
< div class = "line" > < a name = "l00178" > < / a > < span class = "lineno" > 178< / span >   < span class = "keywordflow" > if< / span > (mapping[col_a] != < a class = "code" href = "namespaceoperations__research_1_1glop.html#afb755b7934d8679476e2f05a89739bcd" > kInvalidCol< / a > ) < span class = "keywordflow" > continue< / span > ;< / div >
< div class = "line" > < a name = "l00179" > < / a > < span class = "lineno" > 179< / span >   < span class = "keywordflow" > for< / span > (ColIndex col_b(col_a + 1); col_b < num_cols; ++col_b) {< / div >
< div class = "line" > < a name = "l00180" > < / a > < span class = "lineno" > 180< / span >   < span class = "keywordflow" > if< / span > (matrix.< a class = "code" href = "classoperations__research_1_1glop_1_1_sparse_matrix.html#adc6b282d2cc7afc75b60ee44a6bfb2ac" > column< / a > (col_b).< a class = "code" href = "classoperations__research_1_1glop_1_1_sparse_vector.html#a8e12342fc420701fbffd97025421575a" > IsEmpty< / a > ()) < span class = "keywordflow" > continue< / span > ;< / div >
< div class = "line" > < a name = "l00181" > < / a > < span class = "lineno" > 181< / span >   < span class = "keywordflow" > if< / span > (mapping[col_b] != < a class = "code" href = "namespaceoperations__research_1_1glop.html#afb755b7934d8679476e2f05a89739bcd" > kInvalidCol< / a > ) < span class = "keywordflow" > continue< / span > ;< / div >
< div class = "line" > < a name = "l00182" > < / a > < span class = "lineno" > 182< / span >   < span class = "keywordflow" > if< / span > (AreColumnsProportional(matrix.< a class = "code" href = "classoperations__research_1_1glop_1_1_sparse_matrix.html#adc6b282d2cc7afc75b60ee44a6bfb2ac" > column< / a > (col_a), matrix.< a class = "code" href = "classoperations__research_1_1glop_1_1_sparse_matrix.html#adc6b282d2cc7afc75b60ee44a6bfb2ac" > column< / a > (col_b),< / div >
< div class = "line" > < a name = "l00183" > < / a > < span class = "lineno" > 183< / span >   tolerance)) {< / div >
< div class = "line" > < a name = "l00184" > < / a > < span class = "lineno" > 184< / span >   mapping[col_b] = col_a;< / div >
< div class = "line" > < a name = "l00185" > < / a > < span class = "lineno" > 185< / span >   }< / div >
< div class = "line" > < a name = "l00186" > < / a > < span class = "lineno" > 186< / span >   }< / div >
< div class = "line" > < a name = "l00187" > < / a > < span class = "lineno" > 187< / span >   }< / div >
< div class = "line" > < a name = "l00188" > < / a > < span class = "lineno" > 188< / span >   < span class = "keywordflow" > return< / span > mapping;< / div >
< div class = "line" > < a name = "l00189" > < / a > < span class = "lineno" > 189< / span >   }< / div >
< div class = "line" > < a name = "l00190" > < / a > < span class = "lineno" > 190< / span >   < / div >
< div class = "line" > < a name = "l00191" > < / a > < span class = "lineno" > < a class = "line" href = "namespaceoperations__research_1_1glop.html#a9f2b788a9c67a4c71cb7e75b54aea27f" > 191< / a > < / span >   < span class = "keywordtype" > bool< / span > < a class = "code" href = "namespaceoperations__research_1_1glop.html#a9f2b788a9c67a4c71cb7e75b54aea27f" > AreFirstColumnsAndRowsExactlyEquals< / a > (RowIndex num_rows, ColIndex num_cols,< / div >
< div class = "line" > < a name = "l00192" > < / a > < span class = "lineno" > 192< / span >   < span class = "keyword" > const< / span > < a class = "code" href = "classoperations__research_1_1glop_1_1_sparse_matrix.html" > SparseMatrix< / a > & matrix_a,< / div >
< div class = "line" > < a name = "l00193" > < / a > < span class = "lineno" > 193< / span >   < span class = "keyword" > const< / span > < a class = "code" href = "classoperations__research_1_1glop_1_1_compact_sparse_matrix.html" > CompactSparseMatrix< / a > & matrix_b) {< / div >
< div class = "line" > < a name = "l00194" > < / a > < span class = "lineno" > 194< / span >   < span class = "comment" > // TODO(user): Also DCHECK() that matrix_b is ordered by rows.< / span > < / div >
< div class = "line" > < a name = "l00195" > < / a > < span class = "lineno" > 195< / span >   < a class = "code" href = "base_2logging_8h.html#ae17f8119c108cf3070bad3449c7e0006" > DCHECK< / a > (matrix_a.< a class = "code" href = "classoperations__research_1_1glop_1_1_sparse_matrix.html#a5e016d204d43b2cc4a2773c25462968a" > IsCleanedUp< / a > ());< / div >
< div class = "line" > < a name = "l00196" > < / a > < span class = "lineno" > 196< / span >   < span class = "keywordflow" > if< / span > (num_rows > matrix_a.< a class = "code" href = "classoperations__research_1_1glop_1_1_sparse_matrix.html#a960110e64357a3e69162ebf1f71959dd" > num_rows< / a > () || num_rows > matrix_b.< a class = "code" href = "classoperations__research_1_1glop_1_1_compact_sparse_matrix.html#a960110e64357a3e69162ebf1f71959dd" > num_rows< / a > () ||< / div >
< div class = "line" > < a name = "l00197" > < / a > < span class = "lineno" > 197< / span >   num_cols > matrix_a.< a class = "code" href = "classoperations__research_1_1glop_1_1_sparse_matrix.html#a41741829541d089f1c4d34f190884813" > num_cols< / a > () || num_cols > matrix_b.< a class = "code" href = "classoperations__research_1_1glop_1_1_compact_sparse_matrix.html#a41741829541d089f1c4d34f190884813" > num_cols< / a > ()) {< / div >
< div class = "line" > < a name = "l00198" > < / a > < span class = "lineno" > 198< / span >   < span class = "keywordflow" > return< / span > < span class = "keyword" > false< / span > ;< / div >
< div class = "line" > < a name = "l00199" > < / a > < span class = "lineno" > 199< / span >   }< / div >
< div class = "line" > < a name = "l00200" > < / a > < span class = "lineno" > 200< / span >   < span class = "keywordflow" > for< / span > (ColIndex < a class = "code" href = "matrix__utils_8cc.html#aa9d6c98fdf8d89b0e2321fda02adc82c" > col< / a > (0); < a class = "code" href = "matrix__utils_8cc.html#aa9d6c98fdf8d89b0e2321fda02adc82c" > col< / a > < num_cols; ++< a class = "code" href = "matrix__utils_8cc.html#aa9d6c98fdf8d89b0e2321fda02adc82c" > col< / a > ) {< / div >
< div class = "line" > < a name = "l00201" > < / a > < span class = "lineno" > 201< / span >   < span class = "keyword" > const< / span > < a class = "code" href = "classoperations__research_1_1glop_1_1_sparse_column.html" > SparseColumn< / a > & col_a = matrix_a.< a class = "code" href = "classoperations__research_1_1glop_1_1_sparse_matrix.html#adc6b282d2cc7afc75b60ee44a6bfb2ac" > column< / a > (< a class = "code" href = "matrix__utils_8cc.html#aa9d6c98fdf8d89b0e2321fda02adc82c" > col< / a > );< / div >
< div class = "line" > < a name = "l00202" > < / a > < span class = "lineno" > 202< / span >   < span class = "keyword" > const< / span > < a class = "code" href = "classoperations__research_1_1glop_1_1_column_view.html" > ColumnView< / a > & col_b = matrix_b.< a class = "code" href = "classoperations__research_1_1glop_1_1_compact_sparse_matrix.html#afbe7c81d6b4066bf7874299a0f7c0d59" > column< / a > (< a class = "code" href = "matrix__utils_8cc.html#aa9d6c98fdf8d89b0e2321fda02adc82c" > col< / a > );< / div >
< div class = "line" > < a name = "l00203" > < / a > < span class = "lineno" > 203< / span >   < span class = "keyword" > const< / span > EntryIndex end = < a class = "code" href = "alldiff__cst_8cc.html#ad10edae0a852d72fb76afb1c77735045" > std::min< / a > (col_a.< a class = "code" href = "classoperations__research_1_1glop_1_1_sparse_vector.html#af69d9b7065a8f31604a8134be4307749" > num_entries< / a > (), col_b.< a class = "code" href = "classoperations__research_1_1glop_1_1_column_view.html#af69d9b7065a8f31604a8134be4307749" > num_entries< / a > ());< / div >
< div class = "line" > < a name = "l00204" > < / a > < span class = "lineno" > 204< / span >   < span class = "keywordflow" > if< / span > (end < col_a.< a class = "code" href = "classoperations__research_1_1glop_1_1_sparse_vector.html#af69d9b7065a8f31604a8134be4307749" > num_entries< / a > () & & col_a.< a class = "code" href = "classoperations__research_1_1glop_1_1_sparse_column.html#aedc46de5199e203b77de2eae2e4c100d" > EntryRow< / a > (end) < num_rows) {< / div >
< div class = "line" > < a name = "l00205" > < / a > < span class = "lineno" > 205< / span >   < span class = "keywordflow" > return< / span > < span class = "keyword" > false< / span > ;< / div >
< div class = "line" > < a name = "l00206" > < / a > < span class = "lineno" > 206< / span >   }< / div >
< div class = "line" > < a name = "l00207" > < / a > < span class = "lineno" > 207< / span >   < span class = "keywordflow" > if< / span > (end < col_b.< a class = "code" href = "classoperations__research_1_1glop_1_1_column_view.html#af69d9b7065a8f31604a8134be4307749" > num_entries< / a > () & & col_b.< a class = "code" href = "classoperations__research_1_1glop_1_1_column_view.html#aedc46de5199e203b77de2eae2e4c100d" > EntryRow< / a > (end) < num_rows) {< / div >
< div class = "line" > < a name = "l00208" > < / a > < span class = "lineno" > 208< / span >   < span class = "keywordflow" > return< / span > < span class = "keyword" > false< / span > ;< / div >
< div class = "line" > < a name = "l00209" > < / a > < span class = "lineno" > 209< / span >   }< / div >
< div class = "line" > < a name = "l00210" > < / a > < span class = "lineno" > 210< / span >   < span class = "keywordflow" > for< / span > (EntryIndex i(0); i < end; ++i) {< / div >
< div class = "line" > < a name = "l00211" > < / a > < span class = "lineno" > 211< / span >   < span class = "keywordflow" > if< / span > (col_a.< a class = "code" href = "classoperations__research_1_1glop_1_1_sparse_column.html#aedc46de5199e203b77de2eae2e4c100d" > EntryRow< / a > (i) != col_b.< a class = "code" href = "classoperations__research_1_1glop_1_1_column_view.html#aedc46de5199e203b77de2eae2e4c100d" > EntryRow< / a > (i)) {< / div >
< div class = "line" > < a name = "l00212" > < / a > < span class = "lineno" > 212< / span >   < span class = "keywordflow" > if< / span > (col_a.< a class = "code" href = "classoperations__research_1_1glop_1_1_sparse_column.html#aedc46de5199e203b77de2eae2e4c100d" > EntryRow< / a > (i) < num_rows || col_b.< a class = "code" href = "classoperations__research_1_1glop_1_1_column_view.html#aedc46de5199e203b77de2eae2e4c100d" > EntryRow< / a > (i) < num_rows) {< / div >
< div class = "line" > < a name = "l00213" > < / a > < span class = "lineno" > 213< / span >   < span class = "keywordflow" > return< / span > < span class = "keyword" > false< / span > ;< / div >
< div class = "line" > < a name = "l00214" > < / a > < span class = "lineno" > 214< / span >   } < span class = "keywordflow" > else< / span > {< / div >
< div class = "line" > < a name = "l00215" > < / a > < span class = "lineno" > 215< / span >   < span class = "keywordflow" > break< / span > ;< / div >
< div class = "line" > < a name = "l00216" > < / a > < span class = "lineno" > 216< / span >   }< / div >
< div class = "line" > < a name = "l00217" > < / a > < span class = "lineno" > 217< / span >   }< / div >
< div class = "line" > < a name = "l00218" > < / a > < span class = "lineno" > 218< / span >   < span class = "keywordflow" > if< / span > (col_a.< a class = "code" href = "classoperations__research_1_1glop_1_1_sparse_column.html#aaef7fc778a29bb3bb3040c0423937f6e" > EntryCoefficient< / a > (i) != col_b.< a class = "code" href = "classoperations__research_1_1glop_1_1_column_view.html#aaef7fc778a29bb3bb3040c0423937f6e" > EntryCoefficient< / a > (i)) {< / div >
< div class = "line" > < a name = "l00219" > < / a > < span class = "lineno" > 219< / span >   < span class = "keywordflow" > return< / span > < span class = "keyword" > false< / span > ;< / div >
< div class = "line" > < a name = "l00220" > < / a > < span class = "lineno" > 220< / span >   }< / div >
< div class = "line" > < a name = "l00221" > < / a > < span class = "lineno" > 221< / span >   < span class = "keywordflow" > if< / span > (col_a.< a class = "code" href = "classoperations__research_1_1glop_1_1_sparse_vector.html#af69d9b7065a8f31604a8134be4307749" > num_entries< / a > () > end & & col_a.< a class = "code" href = "classoperations__research_1_1glop_1_1_sparse_column.html#aedc46de5199e203b77de2eae2e4c100d" > EntryRow< / a > (end) < num_rows) {< / div >
< div class = "line" > < a name = "l00222" > < / a > < span class = "lineno" > 222< / span >   < span class = "keywordflow" > return< / span > < span class = "keyword" > false< / span > ;< / div >
< div class = "line" > < a name = "l00223" > < / a > < span class = "lineno" > 223< / span >   }< / div >
< div class = "line" > < a name = "l00224" > < / a > < span class = "lineno" > 224< / span >   < span class = "keywordflow" > if< / span > (col_b.< a class = "code" href = "classoperations__research_1_1glop_1_1_column_view.html#af69d9b7065a8f31604a8134be4307749" > num_entries< / a > () > end & & col_b.< a class = "code" href = "classoperations__research_1_1glop_1_1_column_view.html#aedc46de5199e203b77de2eae2e4c100d" > EntryRow< / a > (end) < num_rows) {< / div >
< div class = "line" > < a name = "l00225" > < / a > < span class = "lineno" > 225< / span >   < span class = "keywordflow" > return< / span > < span class = "keyword" > false< / span > ;< / div >
< div class = "line" > < a name = "l00226" > < / a > < span class = "lineno" > 226< / span >   }< / div >
< div class = "line" > < a name = "l00227" > < / a > < span class = "lineno" > 227< / span >   }< / div >
< div class = "line" > < a name = "l00228" > < / a > < span class = "lineno" > 228< / span >   }< / div >
< div class = "line" > < a name = "l00229" > < / a > < span class = "lineno" > 229< / span >   < span class = "keywordflow" > return< / span > < span class = "keyword" > true< / span > ;< / div >
< div class = "line" > < a name = "l00230" > < / a > < span class = "lineno" > 230< / span >   }< / div >
< div class = "line" > < a name = "l00231" > < / a > < span class = "lineno" > 231< / span >   < / div >
< div class = "line" > < a name = "l00232" > < / a > < span class = "lineno" > < a class = "line" href = "namespaceoperations__research_1_1glop.html#a15dfa7820af8e00b9624297be497f95a" > 232< / a > < / span >   < span class = "keywordtype" > bool< / span > < a class = "code" href = "namespaceoperations__research_1_1glop.html#a15dfa7820af8e00b9624297be497f95a" > IsRightMostSquareMatrixIdentity< / a > (< span class = "keyword" > const< / span > < a class = "code" href = "classoperations__research_1_1glop_1_1_sparse_matrix.html" > SparseMatrix< / a > & matrix) {< / div >
< div class = "line" > < a name = "l00233" > < / a > < span class = "lineno" > 233< / span >   < a class = "code" href = "base_2logging_8h.html#ae17f8119c108cf3070bad3449c7e0006" > DCHECK< / a > (matrix.< a class = "code" href = "classoperations__research_1_1glop_1_1_sparse_matrix.html#a5e016d204d43b2cc4a2773c25462968a" > IsCleanedUp< / a > ());< / div >
< div class = "line" > < a name = "l00234" > < / a > < span class = "lineno" > 234< / span >   < span class = "keywordflow" > if< / span > (matrix.< a class = "code" href = "classoperations__research_1_1glop_1_1_sparse_matrix.html#a960110e64357a3e69162ebf1f71959dd" > num_rows< / a > ().value() > matrix.< a class = "code" href = "classoperations__research_1_1glop_1_1_sparse_matrix.html#a41741829541d089f1c4d34f190884813" > num_cols< / a > ().value()) < span class = "keywordflow" > return< / span > < span class = "keyword" > false< / span > ;< / div >
< div class = "line" > < a name = "l00235" > < / a > < span class = "lineno" > 235< / span >   < span class = "keyword" > const< / span > ColIndex first_identity_col =< / div >
< div class = "line" > < a name = "l00236" > < / a > < span class = "lineno" > 236< / span >   matrix.< a class = "code" href = "classoperations__research_1_1glop_1_1_sparse_matrix.html#a41741829541d089f1c4d34f190884813" > num_cols< / a > () - < a class = "code" href = "namespaceoperations__research_1_1glop.html#a8fbc9efd86a3cc862a9079d86ab8b524" > RowToColIndex< / a > (matrix.< a class = "code" href = "classoperations__research_1_1glop_1_1_sparse_matrix.html#a960110e64357a3e69162ebf1f71959dd" > num_rows< / a > ());< / div >
< div class = "line" > < a name = "l00237" > < / a > < span class = "lineno" > 237< / span >   < span class = "keywordflow" > for< / span > (ColIndex < a class = "code" href = "matrix__utils_8cc.html#aa9d6c98fdf8d89b0e2321fda02adc82c" > col< / a > = first_identity_col; < a class = "code" href = "matrix__utils_8cc.html#aa9d6c98fdf8d89b0e2321fda02adc82c" > col< / a > < matrix.< a class = "code" href = "classoperations__research_1_1glop_1_1_sparse_matrix.html#a41741829541d089f1c4d34f190884813" > num_cols< / a > (); ++< a class = "code" href = "matrix__utils_8cc.html#aa9d6c98fdf8d89b0e2321fda02adc82c" > col< / a > ) {< / div >
< div class = "line" > < a name = "l00238" > < / a > < span class = "lineno" > 238< / span >   < span class = "keyword" > const< / span > < a class = "code" href = "classoperations__research_1_1glop_1_1_sparse_column.html" > SparseColumn< / a > & column = matrix.< a class = "code" href = "classoperations__research_1_1glop_1_1_sparse_matrix.html#adc6b282d2cc7afc75b60ee44a6bfb2ac" > column< / a > (< a class = "code" href = "matrix__utils_8cc.html#aa9d6c98fdf8d89b0e2321fda02adc82c" > col< / a > );< / div >
< div class = "line" > < a name = "l00239" > < / a > < span class = "lineno" > 239< / span >   < span class = "keywordflow" > if< / span > (column.< a class = "code" href = "classoperations__research_1_1glop_1_1_sparse_vector.html#af69d9b7065a8f31604a8134be4307749" > num_entries< / a > () != 1 ||< / div >
< div class = "line" > < a name = "l00240" > < / a > < span class = "lineno" > 240< / span >   column.< a class = "code" href = "classoperations__research_1_1glop_1_1_sparse_column.html#aaef7fc778a29bb3bb3040c0423937f6e" > EntryCoefficient< / a > (EntryIndex(0)) != 1.0) {< / div >
< div class = "line" > < a name = "l00241" > < / a > < span class = "lineno" > 241< / span >   < span class = "keywordflow" > return< / span > < span class = "keyword" > false< / span > ;< / div >
< div class = "line" > < a name = "l00242" > < / a > < span class = "lineno" > 242< / span >   }< / div >
< div class = "line" > < a name = "l00243" > < / a > < span class = "lineno" > 243< / span >   }< / div >
< div class = "line" > < a name = "l00244" > < / a > < span class = "lineno" > 244< / span >   < span class = "keywordflow" > return< / span > < span class = "keyword" > true< / span > ;< / div >
< div class = "line" > < a name = "l00245" > < / a > < span class = "lineno" > 245< / span >   }< / div >
< div class = "line" > < a name = "l00246" > < / a > < span class = "lineno" > 246< / span >   < / div >
< div class = "line" > < a name = "l00247" > < / a > < span class = "lineno" > 247< / span >   } < span class = "comment" > // namespace glop< / span > < / div >
< div class = "line" > < a name = "l00248" > < / a > < span class = "lineno" > 248< / 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_a46e69120fbd3b36e6960e096d23b66f0" > < div class = "ttname" > < a href = "base_2logging_8h.html#a46e69120fbd3b36e6960e096d23b66f0" > DCHECK_NE< / a > < / div > < div class = "ttdeci" > #define DCHECK_NE(val1, val2)< / div > < div class = "ttdef" > < b > Definition:< / b > < a href = "base_2logging_8h_source.html#l00894" > base/logging.h:894< / a > < / div > < / div >
< div class = "ttc" id = "abase_2logging_8h_html_ae17f8119c108cf3070bad3449c7e0006" > < div class = "ttname" > < a href = "base_2logging_8h.html#ae17f8119c108cf3070bad3449c7e0006" > DCHECK< / a > < / div > < div class = "ttdeci" > #define DCHECK(condition)< / div > < div class = "ttdef" > < b > Definition:< / b > < a href = "base_2logging_8h_source.html#l00892" > base/logging.h:892< / a > < / div > < / div >
2021-01-26 11:28:50 +01:00
< div class = "ttc" id = "aclassoperations__research_1_1glop_1_1_column_view_html" > < div class = "ttname" > < a href = "classoperations__research_1_1glop_1_1_column_view.html" > operations_research::glop::ColumnView< / a > < / div > < div class = "ttdef" > < b > Definition:< / b > < a href = "sparse__column_8h_source.html#l00065" > sparse_column.h:65< / a > < / div > < / div >
< div class = "ttc" id = "aclassoperations__research_1_1glop_1_1_column_view_html_aaef7fc778a29bb3bb3040c0423937f6e" > < div class = "ttname" > < a href = "classoperations__research_1_1glop_1_1_column_view.html#aaef7fc778a29bb3bb3040c0423937f6e" > operations_research::glop::ColumnView::EntryCoefficient< / a > < / div > < div class = "ttdeci" > Fractional EntryCoefficient(EntryIndex i) const< / div > < div class = "ttdef" > < b > Definition:< / b > < a href = "sparse__column_8h_source.html#l00083" > sparse_column.h:83< / a > < / div > < / div >
< div class = "ttc" id = "aclassoperations__research_1_1glop_1_1_column_view_html_aedc46de5199e203b77de2eae2e4c100d" > < div class = "ttname" > < a href = "classoperations__research_1_1glop_1_1_column_view.html#aedc46de5199e203b77de2eae2e4c100d" > operations_research::glop::ColumnView::EntryRow< / a > < / div > < div class = "ttdeci" > RowIndex EntryRow(EntryIndex i) const< / div > < div class = "ttdef" > < b > Definition:< / b > < a href = "sparse__column_8h_source.html#l00089" > sparse_column.h:89< / a > < / div > < / div >
< div class = "ttc" id = "aclassoperations__research_1_1glop_1_1_column_view_html_af69d9b7065a8f31604a8134be4307749" > < div class = "ttname" > < a href = "classoperations__research_1_1glop_1_1_column_view.html#af69d9b7065a8f31604a8134be4307749" > operations_research::glop::ColumnView::num_entries< / a > < / div > < div class = "ttdeci" > EntryIndex num_entries() const< / div > < div class = "ttdef" > < b > Definition:< / b > < a href = "sparse__column_8h_source.html#l00082" > sparse_column.h:82< / a > < / div > < / div >
< div class = "ttc" id = "aclassoperations__research_1_1glop_1_1_compact_sparse_matrix_html" > < div class = "ttname" > < a href = "classoperations__research_1_1glop_1_1_compact_sparse_matrix.html" > operations_research::glop::CompactSparseMatrix< / a > < / div > < div class = "ttdef" > < b > Definition:< / b > < a href = "sparse_8h_source.html#l00288" > sparse.h:288< / a > < / div > < / div >
2020-10-09 12:00:09 +02:00
< div class = "ttc" id = "aclassoperations__research_1_1glop_1_1_compact_sparse_matrix_html_a41741829541d089f1c4d34f190884813" > < div class = "ttname" > < a href = "classoperations__research_1_1glop_1_1_compact_sparse_matrix.html#a41741829541d089f1c4d34f190884813" > operations_research::glop::CompactSparseMatrix::num_cols< / a > < / div > < div class = "ttdeci" > ColIndex num_cols() const< / div > < div class = "ttdef" > < b > Definition:< / b > < a href = "sparse_8h_source.html#l00345" > sparse.h:345< / a > < / div > < / div >
2021-01-26 11:28:50 +01:00
< div class = "ttc" id = "aclassoperations__research_1_1glop_1_1_compact_sparse_matrix_html_a960110e64357a3e69162ebf1f71959dd" > < div class = "ttname" > < a href = "classoperations__research_1_1glop_1_1_compact_sparse_matrix.html#a960110e64357a3e69162ebf1f71959dd" > operations_research::glop::CompactSparseMatrix::num_rows< / a > < / div > < div class = "ttdeci" > RowIndex num_rows() const< / div > < div class = "ttdef" > < b > Definition:< / b > < a href = "sparse_8h_source.html#l00344" > sparse.h:344< / a > < / div > < / div >
< div class = "ttc" id = "aclassoperations__research_1_1glop_1_1_compact_sparse_matrix_html_afbe7c81d6b4066bf7874299a0f7c0d59" > < div class = "ttname" > < a href = "classoperations__research_1_1glop_1_1_compact_sparse_matrix.html#afbe7c81d6b4066bf7874299a0f7c0d59" > operations_research::glop::CompactSparseMatrix::column< / a > < / div > < div class = "ttdeci" > ColumnView column(ColIndex col) const< / div > < div class = "ttdef" > < b > Definition:< / b > < a href = "sparse_8h_source.html#l00364" > sparse.h:364< / a > < / div > < / div >
2020-10-09 12:00:09 +02:00
< div class = "ttc" id = "aclassoperations__research_1_1glop_1_1_sparse_column_html" > < div class = "ttname" > < a href = "classoperations__research_1_1glop_1_1_sparse_column.html" > operations_research::glop::SparseColumn< / a > < / div > < div class = "ttdef" > < b > Definition:< / b > < a href = "sparse__column_8h_source.html#l00044" > sparse_column.h:44< / a > < / div > < / div >
< div class = "ttc" id = "aclassoperations__research_1_1glop_1_1_sparse_column_html_aaef7fc778a29bb3bb3040c0423937f6e" > < div class = "ttname" > < a href = "classoperations__research_1_1glop_1_1_sparse_column.html#aaef7fc778a29bb3bb3040c0423937f6e" > operations_research::glop::SparseColumn::EntryCoefficient< / a > < / div > < div class = "ttdeci" > Fractional EntryCoefficient(EntryIndex i) const< / div > < div class = "ttdef" > < b > Definition:< / b > < a href = "sparse__column_8h_source.html#l00052" > sparse_column.h:52< / a > < / div > < / div >
2021-01-26 11:28:50 +01:00
< div class = "ttc" id = "aclassoperations__research_1_1glop_1_1_sparse_column_html_aedc46de5199e203b77de2eae2e4c100d" > < div class = "ttname" > < a href = "classoperations__research_1_1glop_1_1_sparse_column.html#aedc46de5199e203b77de2eae2e4c100d" > operations_research::glop::SparseColumn::EntryRow< / a > < / div > < div class = "ttdeci" > RowIndex EntryRow(EntryIndex i) const< / div > < div class = "ttdef" > < b > Definition:< / b > < a href = "sparse__column_8h_source.html#l00051" > sparse_column.h:51< / a > < / div > < / div >
2020-10-09 12:00:09 +02:00
< div class = "ttc" id = "aclassoperations__research_1_1glop_1_1_sparse_matrix_html" > < div class = "ttname" > < a href = "classoperations__research_1_1glop_1_1_sparse_matrix.html" > operations_research::glop::SparseMatrix< / a > < / div > < div class = "ttdef" > < b > Definition:< / b > < a href = "sparse_8h_source.html#l00061" > sparse.h:61< / a > < / div > < / div >
2021-01-26 11:28:50 +01:00
< div class = "ttc" id = "aclassoperations__research_1_1glop_1_1_sparse_matrix_html_a41741829541d089f1c4d34f190884813" > < div class = "ttname" > < a href = "classoperations__research_1_1glop_1_1_sparse_matrix.html#a41741829541d089f1c4d34f190884813" > operations_research::glop::SparseMatrix::num_cols< / a > < / div > < div class = "ttdeci" > ColIndex num_cols() const< / div > < div class = "ttdef" > < b > Definition:< / b > < a href = "sparse_8h_source.html#l00177" > sparse.h:177< / a > < / div > < / div >
2020-10-09 12:00:09 +02:00
< div class = "ttc" id = "aclassoperations__research_1_1glop_1_1_sparse_matrix_html_a5e016d204d43b2cc4a2773c25462968a" > < div class = "ttname" > < a href = "classoperations__research_1_1glop_1_1_sparse_matrix.html#a5e016d204d43b2cc4a2773c25462968a" > operations_research::glop::SparseMatrix::IsCleanedUp< / a > < / div > < div class = "ttdeci" > bool IsCleanedUp() const< / div > < div class = "ttdef" > < b > Definition:< / b > < a href = "sparse_8cc_source.html#l00135" > sparse.cc:135< / a > < / div > < / div >
< div class = "ttc" id = "aclassoperations__research_1_1glop_1_1_sparse_matrix_html_a960110e64357a3e69162ebf1f71959dd" > < div class = "ttname" > < a href = "classoperations__research_1_1glop_1_1_sparse_matrix.html#a960110e64357a3e69162ebf1f71959dd" > operations_research::glop::SparseMatrix::num_rows< / a > < / div > < div class = "ttdeci" > RowIndex num_rows() const< / div > < div class = "ttdef" > < b > Definition:< / b > < a href = "sparse_8h_source.html#l00176" > sparse.h:176< / a > < / div > < / div >
< div class = "ttc" id = "aclassoperations__research_1_1glop_1_1_sparse_matrix_html_adc6b282d2cc7afc75b60ee44a6bfb2ac" > < div class = "ttname" > < a href = "classoperations__research_1_1glop_1_1_sparse_matrix.html#adc6b282d2cc7afc75b60ee44a6bfb2ac" > operations_research::glop::SparseMatrix::column< / a > < / div > < div class = "ttdeci" > const SparseColumn & column(ColIndex col) const< / div > < div class = "ttdef" > < b > Definition:< / b > < a href = "sparse_8h_source.html#l00180" > sparse.h:180< / a > < / div > < / div >
< div class = "ttc" id = "aclassoperations__research_1_1glop_1_1_sparse_vector_html_a8e12342fc420701fbffd97025421575a" > < div class = "ttname" > < a href = "classoperations__research_1_1glop_1_1_sparse_vector.html#a8e12342fc420701fbffd97025421575a" > operations_research::glop::SparseVector::IsEmpty< / a > < / div > < div class = "ttdeci" > bool IsEmpty() const< / div > < div class = "ttdef" > < b > Definition:< / b > < a href = "sparse__vector_8h_source.html#l00529" > sparse_vector.h:529< / a > < / div > < / div >
2021-01-26 11:28:50 +01:00
< div class = "ttc" id = "aclassoperations__research_1_1glop_1_1_sparse_vector_html_ab38326ea6cb6187267665dd8b2748f3d" > < div class = "ttname" > < a href = "classoperations__research_1_1glop_1_1_sparse_vector.html#ab38326ea6cb6187267665dd8b2748f3d" > operations_research::glop::SparseVector< RowIndex, SparseColumnIterator > ::Entry< / a > < / div > < div class = "ttdeci" > typename Iterator::Entry Entry< / div > < div class = "ttdef" > < b > Definition:< / b > < a href = "sparse__vector_8h_source.html#l00091" > sparse_vector.h:91< / a > < / div > < / div >
2020-10-09 12:00:09 +02:00
< div class = "ttc" id = "aclassoperations__research_1_1glop_1_1_sparse_vector_html_af69d9b7065a8f31604a8134be4307749" > < div class = "ttname" > < a href = "classoperations__research_1_1glop_1_1_sparse_vector.html#af69d9b7065a8f31604a8134be4307749" > operations_research::glop::SparseVector::num_entries< / a > < / div > < div class = "ttdeci" > EntryIndex num_entries() const< / div > < div class = "ttdef" > < b > Definition:< / b > < a href = "sparse__vector_8h_source.html#l00270" > sparse_vector.h:270< / a > < / div > < / div >
2021-01-26 11:28:50 +01:00
< div class = "ttc" id = "aclassoperations__research_1_1glop_1_1_strict_i_t_i_vector_html" > < div class = "ttname" > < a href = "classoperations__research_1_1glop_1_1_strict_i_t_i_vector.html" > operations_research::glop::StrictITIVector< ColIndex, ColIndex > < / a > < / div > < / div >
2021-04-27 23:00:03 +02:00
< div class = "ttc" id = "aconstraint__solver_2table_8cc_html_a9293e4d29cac928301645070dd307683" > < div class = "ttname" > < a href = "constraint__solver_2table_8cc.html#a9293e4d29cac928301645070dd307683" > b< / a > < / div > < div class = "ttdeci" > int64_t b< / div > < div class = "ttdef" > < b > Definition:< / b > < a href = "constraint__solver_2table_8cc_source.html#l00047" > constraint_solver/table.cc:47< / a > < / div > < / div >
< div class = "ttc" id = "aconstraint__solver_2table_8cc_html_acb18315d548212835cd8ed4287e6c0b6" > < div class = "ttname" > < a href = "constraint__solver_2table_8cc.html#acb18315d548212835cd8ed4287e6c0b6" > a< / a > < / div > < div class = "ttdeci" > int64_t a< / div > < div class = "ttdef" > < b > Definition:< / b > < a href = "constraint__solver_2table_8cc_source.html#l00046" > constraint_solver/table.cc:46< / a > < / div > < / div >
2021-01-26 11:28:50 +01:00
< div class = "ttc" id = "ahash_8h_html" > < div class = "ttname" > < a href = "hash_8h.html" > hash.h< / a > < / div > < / div >
2021-04-27 23:00:03 +02:00
< div class = "ttc" id = "amatrix__utils_8cc_html_a95d4078c018ac04247ee3785eab30e7b" > < div class = "ttname" > < a href = "matrix__utils_8cc.html#a95d4078c018ac04247ee3785eab30e7b" > hash< / a > < / div > < div class = "ttdeci" > int64_t hash< / div > < div class = "ttdef" > < b > Definition:< / b > < a href = "matrix__utils_8cc_source.html#l00061" > matrix_utils.cc:61< / a > < / div > < / div >
< div class = "ttc" id = "amatrix__utils_8cc_html_aa9d6c98fdf8d89b0e2321fda02adc82c" > < div class = "ttname" > < a href = "matrix__utils_8cc.html#aa9d6c98fdf8d89b0e2321fda02adc82c" > col< / a > < / div > < div class = "ttdeci" > ColIndex col< / div > < div class = "ttdef" > < b > Definition:< / b > < a href = "matrix__utils_8cc_source.html#l00060" > matrix_utils.cc:60< / a > < / div > < / div >
< div class = "ttc" id = "amatrix__utils_8cc_html_aee90379adb0307effb138f4871edbc5c" > < div class = "ttname" > < a href = "matrix__utils_8cc.html#aee90379adb0307effb138f4871edbc5c" > value< / a > < / div > < div class = "ttdeci" > double value< / div > < div class = "ttdef" > < b > Definition:< / b > < a href = "matrix__utils_8cc_source.html#l00062" > matrix_utils.cc:62< / a > < / div > < / div >
2021-01-26 11:28:50 +01:00
< div class = "ttc" id = "amatrix__utils_8h_html" > < div class = "ttname" > < a href = "matrix__utils_8h.html" > matrix_utils.h< / a > < / div > < / div >
2021-04-27 23:00:03 +02:00
< div class = "ttc" id = "anamespaceoperations__research_1_1glop_html_a15dfa7820af8e00b9624297be497f95a" > < div class = "ttname" > < a href = "namespaceoperations__research_1_1glop.html#a15dfa7820af8e00b9624297be497f95a" > operations_research::glop::IsRightMostSquareMatrixIdentity< / a > < / div > < div class = "ttdeci" > bool IsRightMostSquareMatrixIdentity(const SparseMatrix & matrix)< / div > < div class = "ttdef" > < b > Definition:< / b > < a href = "matrix__utils_8cc_source.html#l00232" > matrix_utils.cc:232< / a > < / div > < / div >
< div class = "ttc" id = "anamespaceoperations__research_1_1glop_html_a1ee4943cf389e6ff8159924ea5b048e1" > < div class = "ttname" > < a href = "namespaceoperations__research_1_1glop.html#a1ee4943cf389e6ff8159924ea5b048e1" > operations_research::glop::FindProportionalColumnsUsingSimpleAlgorithm< / a > < / div > < div class = "ttdeci" > ColMapping FindProportionalColumnsUsingSimpleAlgorithm(const SparseMatrix & matrix, Fractional tolerance)< / div > < div class = "ttdef" > < b > Definition:< / b > < a href = "matrix__utils_8cc_source.html#l00172" > matrix_utils.cc:172< / a > < / div > < / div >
< div class = "ttc" id = "anamespaceoperations__research_1_1glop_html_a733947145e3e1631165b618b05c9ccb7" > < div class = "ttname" > < a href = "namespaceoperations__research_1_1glop.html#a733947145e3e1631165b618b05c9ccb7" > operations_research::glop::Fractional< / a > < / div > < div class = "ttdeci" > double Fractional< / div > < div class = "ttdef" > < b > Definition:< / b > < a href = "lp__types_8h_source.html#l00078" > lp_types.h:78< / a > < / div > < / div >
< div class = "ttc" id = "anamespaceoperations__research_1_1glop_html_a8fbc9efd86a3cc862a9079d86ab8b524" > < div class = "ttname" > < a href = "namespaceoperations__research_1_1glop.html#a8fbc9efd86a3cc862a9079d86ab8b524" > operations_research::glop::RowToColIndex< / a > < / div > < div class = "ttdeci" > ColIndex RowToColIndex(RowIndex row)< / div > < div class = "ttdef" > < b > Definition:< / b > < a href = "lp__types_8h_source.html#l00049" > lp_types.h:49< / a > < / div > < / div >
< div class = "ttc" id = "anamespaceoperations__research_1_1glop_html_a9f2b788a9c67a4c71cb7e75b54aea27f" > < div class = "ttname" > < a href = "namespaceoperations__research_1_1glop.html#a9f2b788a9c67a4c71cb7e75b54aea27f" > operations_research::glop::AreFirstColumnsAndRowsExactlyEquals< / a > < / div > < div class = "ttdeci" > bool AreFirstColumnsAndRowsExactlyEquals(RowIndex num_rows, ColIndex num_cols, const SparseMatrix & matrix_a, const CompactSparseMatrix & matrix_b)< / div > < div class = "ttdef" > < b > Definition:< / b > < a href = "matrix__utils_8cc_source.html#l00191" > matrix_utils.cc:191< / a > < / div > < / div >
< div class = "ttc" id = "anamespaceoperations__research_1_1glop_html_ac9bef291f9b941569978d0f075144abf" > < div class = "ttname" > < a href = "namespaceoperations__research_1_1glop.html#ac9bef291f9b941569978d0f075144abf" > operations_research::glop::FindProportionalColumns< / a > < / div > < div class = "ttdeci" > ColMapping FindProportionalColumns(const SparseMatrix & matrix, Fractional tolerance)< / div > < div class = "ttdef" > < b > Definition:< / b > < a href = "matrix__utils_8cc_source.html#l00116" > matrix_utils.cc:116< / a > < / div > < / div >
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< div class = "ttc" id = "anamespaceoperations__research_1_1glop_html_afb755b7934d8679476e2f05a89739bcd" > < div class = "ttname" > < a href = "namespaceoperations__research_1_1glop.html#afb755b7934d8679476e2f05a89739bcd" > operations_research::glop::kInvalidCol< / a > < / div > < div class = "ttdeci" > const ColIndex kInvalidCol(-1)< / div > < / div >
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< 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 = "anamespaceutil__hash_html_a17715af1c1bc575a706eb167371b81e9" > < div class = "ttname" > < a href = "namespaceutil__hash.html#a17715af1c1bc575a706eb167371b81e9" > util_hash::Hash< / a > < / div > < div class = "ttdeci" > uint64_t Hash(uint64_t num, uint64_t c)< / div > < div class = "ttdef" > < b > Definition:< / b > < a href = "hash_8h_source.html#l00150" > hash.h:150< / a > < / div > < / div >
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2020-09-02 09:42:51 +02:00
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