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< a href = "sat_2util_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 = "sat_2util_8h.html" > ortools/sat/util.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 < cmath> < / span > < / div >
< div class = "line" > < a id = "l00018" name = "l00018" > < / a > < span class = "lineno" > 18< / span > < span class = "preprocessor" > #include < cstdint> < / span > < / div >
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< div class = "line" > < a id = "l00019" name = "l00019" > < / a > < span class = "lineno" > 19< / span > < span class = "preprocessor" > #include < cstdlib> < / span > < / div >
< div class = "line" > < a id = "l00020" name = "l00020" > < / a > < span class = "lineno" > 20< / span > < span class = "preprocessor" > #include < deque> < / span > < / div >
< div class = "line" > < a id = "l00021" name = "l00021" > < / a > < span class = "lineno" > 21< / span > < span class = "preprocessor" > #include < limits> < / span > < / div >
< div class = "line" > < a id = "l00022" name = "l00022" > < / a > < span class = "lineno" > 22< / span > < span class = "preprocessor" > #include < numeric> < / span > < / div >
< div class = "line" > < a id = "l00023" name = "l00023" > < / a > < span class = "lineno" > 23< / span > < span class = "preprocessor" > #include < utility> < / span > < / div >
< div class = "line" > < a id = "l00024" name = "l00024" > < / a > < span class = "lineno" > 24< / span > < span class = "preprocessor" > #include < vector> < / span > < / div >
< div class = "line" > < a id = "l00025" name = "l00025" > < / a > < span class = "lineno" > 25< / span > < / div >
< div class = "line" > < a id = "l00026" name = "l00026" > < / a > < span class = "lineno" > 26< / span > < span class = "preprocessor" > #include " < a class = "code" href = "integral__types_8h.html" > ortools/base/integral_types.h< / a > " < / span > < / div >
< div class = "line" > < a id = "l00027" name = "l00027" > < / a > < span class = "lineno" > 27< / 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 = "l00028" name = "l00028" > < / a > < span class = "lineno" > 28< / span > < span class = "preprocessor" > #if !defined(__PORTABLE_PLATFORM__)< / span > < / div >
< div class = "line" > < a id = "l00029" name = "l00029" > < / a > < span class = "lineno" > 29< / span > < span class = "preprocessor" > #include " google/protobuf/descriptor.h" < / span > < / div >
< div class = "line" > < a id = "l00030" name = "l00030" > < / a > < span class = "lineno" > 30< / span > < span class = "preprocessor" > #endif < / span > < span class = "comment" > // __PORTABLE_PLATFORM__< / span > < / div >
< div class = "line" > < a id = "l00031" name = "l00031" > < / a > < span class = "lineno" > 31< / span > < span class = "preprocessor" > #include " absl/container/btree_set.h" < / span > < / div >
< div class = "line" > < a id = "l00032" name = "l00032" > < / a > < span class = "lineno" > 32< / span > < span class = "preprocessor" > #include " absl/container/flat_hash_map.h" < / span > < / div >
< div class = "line" > < a id = "l00033" name = "l00033" > < / a > < span class = "lineno" > 33< / span > < span class = "preprocessor" > #include " absl/numeric/int128.h" < / span > < / div >
< div class = "line" > < a id = "l00034" name = "l00034" > < / a > < span class = "lineno" > 34< / span > < span class = "preprocessor" > #include " absl/random/bit_gen_ref.h" < / span > < / div >
< div class = "line" > < a id = "l00035" name = "l00035" > < / a > < span class = "lineno" > 35< / span > < span class = "preprocessor" > #include " absl/random/distributions.h" < / span > < / div >
< div class = "line" > < a id = "l00036" name = "l00036" > < / a > < span class = "lineno" > 36< / span > < span class = "preprocessor" > #include " absl/types/span.h" < / span > < / div >
< div class = "line" > < a id = "l00037" name = "l00037" > < / a > < span class = "lineno" > 37< / span > < span class = "preprocessor" > #include " < a class = "code" href = "map__util_8h.html" > ortools/base/map_util.h< / a > " < / span > < / div >
< div class = "line" > < a id = "l00038" name = "l00038" > < / a > < span class = "lineno" > 38< / span > < span class = "preprocessor" > #include " < a class = "code" href = "mathutil_8h.html" > ortools/base/mathutil.h< / a > " < / span > < / div >
< div class = "line" > < a id = "l00039" name = "l00039" > < / a > < span class = "lineno" > 39< / span > < span class = "preprocessor" > #include " < a class = "code" href = "stl__util_8h.html" > ortools/base/stl_util.h< / a > " < / span > < / div >
< div class = "line" > < a id = "l00040" name = "l00040" > < / a > < span class = "lineno" > 40< / span > < span class = "preprocessor" > #include " < a class = "code" href = "sat__base_8h.html" > ortools/sat/sat_base.h< / a > " < / span > < / div >
< div class = "line" > < a id = "l00041" name = "l00041" > < / a > < span class = "lineno" > 41< / span > < span class = "preprocessor" > #include " ortools/sat/sat_parameters.pb.h" < / span > < / div >
< div class = "line" > < a id = "l00042" name = "l00042" > < / a > < span class = "lineno" > 42< / span > < span class = "preprocessor" > #include " < a class = "code" href = "saturated__arithmetic_8h.html" > ortools/util/saturated_arithmetic.h< / a > " < / span > < / div >
< div class = "line" > < a id = "l00043" name = "l00043" > < / a > < span class = "lineno" > 43< / span > < span class = "preprocessor" > #include " < a class = "code" href = "strong__integers_8h.html" > ortools/util/strong_integers.h< / a > " < / span > < / 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 = "keyword" > namespace < / span > < a class = "code hl_namespace" href = "namespaceoperations__research.html" > operations_research< / a > {< / div >
< div class = "line" > < a id = "l00046" name = "l00046" > < / a > < span class = "lineno" > 46< / span > < span class = "keyword" > namespace < / span > sat {< / 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" > namespace < / span > {< / div >
< div class = "line" > < a id = "l00049" name = "l00049" > < / a > < span class = "lineno" > 49< / span > < span class = "comment" > // This will be optimized into one division. I tested that in other places:< / span > < / div >
< div class = "line" > < a id = "l00050" name = "l00050" > < / a > < span class = "lineno" > 50< / span > < span class = "comment" > //< / span > < / div >
< div class = "line" > < a id = "l00051" name = "l00051" > < / a > < span class = "lineno" > 51< / span > < span class = "comment" > // Note that I am not 100% sure we need the indirection for the optimization< / span > < / div >
< div class = "line" > < a id = "l00052" name = "l00052" > < / a > < span class = "lineno" > 52< / span > < span class = "comment" > // to kick in though, but this seemed safer given our weird r[i ^ 1] inputs.< / span > < / div >
< div class = "line" > < a id = "l00053" name = "l00053" > < / a > < span class = "lineno" > 53< / span > < span class = "keywordtype" > void< / span > QuotientAndRemainder(int64_t < a class = "code hl_variable" href = "constraint__solver_2table_8cc.html#acb18315d548212835cd8ed4287e6c0b6" > a< / a > , int64_t < a class = "code hl_variable" href = "constraint__solver_2table_8cc.html#a9293e4d29cac928301645070dd307683" > b< / a > , int64_t& q, int64_t& r) {< / div >
< div class = "line" > < a id = "l00054" name = "l00054" > < / a > < span class = "lineno" > 54< / span > q = < a class = "code hl_variable" href = "constraint__solver_2table_8cc.html#acb18315d548212835cd8ed4287e6c0b6" > a< / a > / < a class = "code hl_variable" href = "constraint__solver_2table_8cc.html#a9293e4d29cac928301645070dd307683" > b< / a > ;< / div >
< div class = "line" > < a id = "l00055" name = "l00055" > < / a > < span class = "lineno" > 55< / span > r = < a class = "code hl_variable" href = "constraint__solver_2table_8cc.html#acb18315d548212835cd8ed4287e6c0b6" > a< / a > % < a class = "code hl_variable" href = "constraint__solver_2table_8cc.html#a9293e4d29cac928301645070dd307683" > b< / a > ;< / div >
< div class = "line" > < a id = "l00056" name = "l00056" > < / a > < span class = "lineno" > 56< / span > }< / div >
< div class = "line" > < a id = "l00057" name = "l00057" > < / a > < span class = "lineno" > 57< / span > } < span class = "comment" > // namespace< / span > < / div >
< div class = "line" > < a id = "l00058" name = "l00058" > < / a > < span class = "lineno" > 58< / span > < / div >
< div class = "line" > < a id = "l00059" name = "l00059" > < / a > < span class = "lineno" > < a class = "line" href = "namespaceoperations__research_1_1sat.html#a0441e1a54fe203c0707131e587de8fae" > 59< / a > < / span > < span class = "keywordtype" > void< / span > < a class = "code hl_function" href = "namespaceoperations__research_1_1sat.html#a0441e1a54fe203c0707131e587de8fae" > RandomizeDecisionHeuristic< / a > (absl::BitGenRef random,< / div >
< div class = "line" > < a id = "l00060" name = "l00060" > < / a > < span class = "lineno" > 60< / span > SatParameters* < a class = "code hl_variable" href = "cp__model__fz__solver_8cc.html#a10a1eab179b472c030bdc2a2efef7219" > parameters< / a > ) {< / div >
< div class = "line" > < a id = "l00061" name = "l00061" > < / a > < span class = "lineno" > 61< / span > < span class = "preprocessor" > #if !defined(__PORTABLE_PLATFORM__)< / span > < / div >
< div class = "line" > < a id = "l00062" name = "l00062" > < / a > < span class = "lineno" > 62< / span > < span class = "comment" > // Random preferred variable order.< / span > < / div >
< div class = "line" > < a id = "l00063" name = "l00063" > < / a > < span class = "lineno" > 63< / span > < span class = "keyword" > const< / span > google::protobuf::EnumDescriptor* order_d =< / div >
< div class = "line" > < a id = "l00064" name = "l00064" > < / a > < span class = "lineno" > 64< / span > SatParameters::VariableOrder_descriptor();< / div >
< div class = "line" > < a id = "l00065" name = "l00065" > < / a > < span class = "lineno" > 65< / span > < a class = "code hl_variable" href = "cp__model__fz__solver_8cc.html#a10a1eab179b472c030bdc2a2efef7219" > parameters< / a > -> set_preferred_variable_order(< / div >
< div class = "line" > < a id = "l00066" name = "l00066" > < / a > < span class = "lineno" > 66< / span > < span class = "keyword" > static_cast< < / span > SatParameters::VariableOrder< span class = "keyword" > > < / span > (< / div >
< div class = "line" > < a id = "l00067" name = "l00067" > < / a > < span class = "lineno" > 67< / span > order_d-> value(absl::Uniform(random, 0, order_d-> value_count()))< / div >
< div class = "line" > < a id = "l00068" name = "l00068" > < / a > < span class = "lineno" > 68< / span > -> number()));< / div >
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< div class = "line" > < a id = "l00069" name = "l00069" > < / a > < span class = "lineno" > 69< / span > < / div >
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< div class = "line" > < a id = "l00070" name = "l00070" > < / a > < span class = "lineno" > 70< / span > < span class = "comment" > // Random polarity initial value.< / span > < / div >
< div class = "line" > < a id = "l00071" name = "l00071" > < / a > < span class = "lineno" > 71< / span > < span class = "keyword" > const< / span > google::protobuf::EnumDescriptor* polarity_d =< / div >
< div class = "line" > < a id = "l00072" name = "l00072" > < / a > < span class = "lineno" > 72< / span > SatParameters::Polarity_descriptor();< / div >
< div class = "line" > < a id = "l00073" name = "l00073" > < / a > < span class = "lineno" > 73< / span > < a class = "code hl_variable" href = "cp__model__fz__solver_8cc.html#a10a1eab179b472c030bdc2a2efef7219" > parameters< / a > -> set_initial_polarity(< span class = "keyword" > static_cast< < / span > SatParameters::Polarity< span class = "keyword" > > < / span > (< / div >
< div class = "line" > < a id = "l00074" name = "l00074" > < / a > < span class = "lineno" > 74< / span > polarity_d-> value(absl::Uniform(random, 0, polarity_d-> value_count()))< / div >
< div class = "line" > < a id = "l00075" name = "l00075" > < / a > < span class = "lineno" > 75< / span > -> number()));< / div >
< div class = "line" > < a id = "l00076" name = "l00076" > < / a > < span class = "lineno" > 76< / span > < span class = "preprocessor" > #endif < / span > < span class = "comment" > // __PORTABLE_PLATFORM__< / span > < / div >
< div class = "line" > < a id = "l00077" name = "l00077" > < / a > < span class = "lineno" > 77< / span > < span class = "comment" > // Other random parameters.< / span > < / div >
< div class = "line" > < a id = "l00078" name = "l00078" > < / a > < span class = "lineno" > 78< / span > < a class = "code hl_variable" href = "cp__model__fz__solver_8cc.html#a10a1eab179b472c030bdc2a2efef7219" > parameters< / a > -> set_use_phase_saving(absl::Bernoulli(random, 0.5));< / div >
< div class = "line" > < a id = "l00079" name = "l00079" > < / a > < span class = "lineno" > 79< / span > < a class = "code hl_variable" href = "cp__model__fz__solver_8cc.html#a10a1eab179b472c030bdc2a2efef7219" > parameters< / a > -> set_random_polarity_ratio(absl::Bernoulli(random, 0.5) ? 0.01< / div >
< div class = "line" > < a id = "l00080" name = "l00080" > < / a > < span class = "lineno" > 80< / span > : 0.0);< / div >
< div class = "line" > < a id = "l00081" name = "l00081" > < / a > < span class = "lineno" > 81< / span > < a class = "code hl_variable" href = "cp__model__fz__solver_8cc.html#a10a1eab179b472c030bdc2a2efef7219" > parameters< / a > -> set_random_branches_ratio(absl::Bernoulli(random, 0.5) ? 0.01< / div >
< div class = "line" > < a id = "l00082" name = "l00082" > < / a > < span class = "lineno" > 82< / span > : 0.0);< / 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 > < / div >
< div class = "line" > < a id = "l00085" name = "l00085" > < / a > < span class = "lineno" > 85< / span > < span class = "comment" > // Using the extended Euclidian algo, we find a and b such that a x + b m = gcd.< / span > < / div >
< div class = "line" > < a id = "l00086" name = "l00086" > < / a > < span class = "lineno" > 86< / span > < span class = "comment" > // https://en.wikipedia.org/wiki/Extended_Euclidean_algorithm< / span > < / div >
< div class = "line" > < a id = "l00087" name = "l00087" > < / a > < span class = "lineno" > < a class = "line" href = "namespaceoperations__research_1_1sat.html#abbbb4c91f9a3d6eb290709745f5b661c" > 87< / a > < / span > int64_t < a class = "code hl_function" href = "namespaceoperations__research_1_1sat.html#abbbb4c91f9a3d6eb290709745f5b661c" > ModularInverse< / a > (int64_t x, int64_t m) {< / div >
< div class = "line" > < a id = "l00088" name = "l00088" > < / a > < span class = "lineno" > 88< / span > < a class = "code hl_define" href = "base_2logging_8h.html#aae2dc65d9ea248d54bf39daa986dd295" > DCHECK_GE< / a > (x, 0);< / div >
< div class = "line" > < a id = "l00089" name = "l00089" > < / a > < span class = "lineno" > 89< / span > < a class = "code hl_define" href = "base_2logging_8h.html#ab62f5ed8f2d48e29802be0cbbcd1359a" > DCHECK_LT< / a > (x, m);< / 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 > int64_t r[2] = {m, x};< / div >
< div class = "line" > < a id = "l00092" name = "l00092" > < / a > < span class = "lineno" > 92< / span > int64_t t[2] = {0, 1};< / div >
< div class = "line" > < a id = "l00093" name = "l00093" > < / a > < span class = "lineno" > 93< / span > int64_t q;< / div >
< div class = "line" > < a id = "l00094" name = "l00094" > < / a > < span class = "lineno" > 94< / span > < / div >
< div class = "line" > < a id = "l00095" name = "l00095" > < / a > < span class = "lineno" > 95< / span > < span class = "comment" > // We only keep the last two terms of the sequences with the " ^1" trick:< / span > < / div >
< div class = "line" > < a id = "l00096" name = "l00096" > < / a > < span class = "lineno" > 96< / span > < span class = "comment" > //< / span > < / div >
< div class = "line" > < a id = "l00097" name = "l00097" > < / a > < span class = "lineno" > 97< / span > < span class = "comment" > // q = r[i-2] / r[i-1]< / span > < / div >
< div class = "line" > < a id = "l00098" name = "l00098" > < / a > < span class = "lineno" > 98< / span > < span class = "comment" > // r[i] = r[i-2] % r[i-1]< / span > < / div >
< div class = "line" > < a id = "l00099" name = "l00099" > < / a > < span class = "lineno" > 99< / span > < span class = "comment" > // t[i] = t[i-2] - t[i-1] * q< / span > < / div >
< div class = "line" > < a id = "l00100" name = "l00100" > < / a > < span class = "lineno" > 100< / span > < span class = "comment" > //< / span > < / div >
< div class = "line" > < a id = "l00101" name = "l00101" > < / a > < span class = "lineno" > 101< / span > < span class = "comment" > // We always have:< / span > < / div >
< div class = "line" > < a id = "l00102" name = "l00102" > < / a > < span class = "lineno" > 102< / span > < span class = "comment" > // - gcd(r[i], r[i - 1]) = gcd(r[i - 1], r[i - 2])< / span > < / div >
< div class = "line" > < a id = "l00103" name = "l00103" > < / a > < span class = "lineno" > 103< / span > < span class = "comment" > // - x * t[i] + m * t[i - 1] = r[i]< / span > < / div >
< div class = "line" > < a id = "l00104" name = "l00104" > < / a > < span class = "lineno" > 104< / span > < span class = "keywordtype" > int< / span > i = 0;< / div >
< div class = "line" > < a id = "l00105" name = "l00105" > < / a > < span class = "lineno" > 105< / span > < span class = "keywordflow" > for< / span > (; r[i ^ 1] != 0; i ^= 1) {< / div >
< div class = "line" > < a id = "l00106" name = "l00106" > < / a > < span class = "lineno" > 106< / span > QuotientAndRemainder(r[i], r[i ^ 1], q, r[i]);< / div >
< div class = "line" > < a id = "l00107" name = "l00107" > < / a > < span class = "lineno" > 107< / span > t[i] -= t[i ^ 1] * q;< / 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 > < / div >
< div class = "line" > < a id = "l00110" name = "l00110" > < / a > < span class = "lineno" > 110< / span > < span class = "comment" > // If the gcd is not one, there is no inverse, we returns 0.< / span > < / div >
< div class = "line" > < a id = "l00111" name = "l00111" > < / a > < span class = "lineno" > 111< / span > < span class = "keywordflow" > if< / span > (r[i] != 1) < span class = "keywordflow" > return< / span > 0;< / div >
< div class = "line" > < a id = "l00112" name = "l00112" > < / a > < span class = "lineno" > 112< / span > < / div >
< div class = "line" > < a id = "l00113" name = "l00113" > < / a > < span class = "lineno" > 113< / span > < span class = "comment" > // Correct the result so that it is in [0, m). Note that abs(t[i]) is known to< / span > < / div >
< div class = "line" > < a id = "l00114" name = "l00114" > < / a > < span class = "lineno" > 114< / span > < span class = "comment" > // be less than or equal to x / 2, and we have thorough unit-tests.< / span > < / div >
< div class = "line" > < a id = "l00115" name = "l00115" > < / a > < span class = "lineno" > 115< / span > < span class = "keywordflow" > if< / span > (t[i] < 0) t[i] += m;< / div >
< div class = "line" > < a id = "l00116" name = "l00116" > < / a > < span class = "lineno" > 116< / span > < / div >
< div class = "line" > < a id = "l00117" name = "l00117" > < / a > < span class = "lineno" > 117< / span > < span class = "keywordflow" > return< / span > t[i];< / div >
< div class = "line" > < a id = "l00118" name = "l00118" > < / a > < span class = "lineno" > 118< / span > }< / div >
< div class = "line" > < a id = "l00119" name = "l00119" > < / a > < span class = "lineno" > 119< / span > < / div >
< div class = "line" > < a id = "l00120" name = "l00120" > < / a > < span class = "lineno" > < a class = "line" href = "namespaceoperations__research_1_1sat.html#a629c989df2521428c30722f175874774" > 120< / a > < / span > int64_t < a class = "code hl_function" href = "namespaceoperations__research_1_1sat.html#a629c989df2521428c30722f175874774" > PositiveMod< / a > (int64_t x, int64_t m) {< / div >
< div class = "line" > < a id = "l00121" name = "l00121" > < / a > < span class = "lineno" > 121< / span > < span class = "keyword" > const< / span > int64_t r = x % m;< / div >
< div class = "line" > < a id = "l00122" name = "l00122" > < / a > < span class = "lineno" > 122< / span > < span class = "keywordflow" > return< / span > r < 0 ? r + m : r;< / div >
< div class = "line" > < a id = "l00123" name = "l00123" > < / a > < span class = "lineno" > 123< / 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" > < a class = "line" href = "namespaceoperations__research_1_1sat.html#ac015d81b88379719f680eadc2aad1508" > 125< / a > < / span > int64_t < a class = "code hl_function" href = "namespaceoperations__research_1_1sat.html#ac015d81b88379719f680eadc2aad1508" > ProductWithModularInverse< / a > (int64_t < a class = "code hl_variable" href = "variable__and__expressions_8cc.html#a2091cd7d80fdd31762020bce86138587" > coeff< / a > , int64_t mod, int64_t rhs) {< / div >
< div class = "line" > < a id = "l00126" name = "l00126" > < / a > < span class = "lineno" > 126< / span > < a class = "code hl_define" href = "base_2logging_8h.html#a46e69120fbd3b36e6960e096d23b66f0" > DCHECK_NE< / a > (< a class = "code hl_variable" href = "variable__and__expressions_8cc.html#a2091cd7d80fdd31762020bce86138587" > coeff< / a > , 0);< / div >
< div class = "line" > < a id = "l00127" name = "l00127" > < / a > < span class = "lineno" > 127< / span > < a class = "code hl_define" href = "base_2logging_8h.html#a46e69120fbd3b36e6960e096d23b66f0" > DCHECK_NE< / a > (mod, 0);< / div >
< div class = "line" > < a id = "l00128" name = "l00128" > < / a > < span class = "lineno" > 128< / span > < / div >
< div class = "line" > < a id = "l00129" name = "l00129" > < / a > < span class = "lineno" > 129< / span > mod = std::abs(mod);< / div >
< div class = "line" > < a id = "l00130" name = "l00130" > < / a > < span class = "lineno" > 130< / span > < span class = "keywordflow" > if< / span > (rhs == 0 || mod == 1) < span class = "keywordflow" > return< / span > 0;< / div >
< div class = "line" > < a id = "l00131" name = "l00131" > < / a > < span class = "lineno" > 131< / span > < a class = "code hl_define" href = "base_2logging_8h.html#ae89df3243bbb8341130c7b3f44145ea0" > DCHECK_EQ< / a > (std::gcd(std::abs(< a class = "code hl_variable" href = "variable__and__expressions_8cc.html#a2091cd7d80fdd31762020bce86138587" > coeff< / a > ), mod), 1);< / div >
2022-01-17 21:42:14 +01:00
< div class = "line" > < a id = "l00132" name = "l00132" > < / a > < span class = "lineno" > 132< / span > < / div >
2022-03-04 00:11:33 +01:00
< div class = "line" > < a id = "l00133" name = "l00133" > < / a > < span class = "lineno" > 133< / span > < span class = "comment" > // Make both in [0, mod).< / span > < / div >
< div class = "line" > < a id = "l00134" name = "l00134" > < / a > < span class = "lineno" > 134< / span > < a class = "code hl_variable" href = "variable__and__expressions_8cc.html#a2091cd7d80fdd31762020bce86138587" > coeff< / a > = < a class = "code hl_function" href = "namespaceoperations__research_1_1sat.html#a629c989df2521428c30722f175874774" > PositiveMod< / a > (< a class = "code hl_variable" href = "variable__and__expressions_8cc.html#a2091cd7d80fdd31762020bce86138587" > coeff< / a > , mod);< / div >
< div class = "line" > < a id = "l00135" name = "l00135" > < / a > < span class = "lineno" > 135< / span > rhs = < a class = "code hl_function" href = "namespaceoperations__research_1_1sat.html#a629c989df2521428c30722f175874774" > PositiveMod< / a > (rhs, mod);< / div >
< div class = "line" > < a id = "l00136" name = "l00136" > < / a > < span class = "lineno" > 136< / span > < / div >
< div class = "line" > < a id = "l00137" name = "l00137" > < / a > < span class = "lineno" > 137< / span > < span class = "comment" > // From X * coeff % mod = rhs< / span > < / div >
< div class = "line" > < a id = "l00138" name = "l00138" > < / a > < span class = "lineno" > 138< / span > < span class = "comment" > // We deduce that X % mod = rhs * inverse % mod< / span > < / div >
< div class = "line" > < a id = "l00139" name = "l00139" > < / a > < span class = "lineno" > 139< / span > < span class = "keyword" > const< / span > int64_t inverse = < a class = "code hl_function" href = "namespaceoperations__research_1_1sat.html#abbbb4c91f9a3d6eb290709745f5b661c" > ModularInverse< / a > (< a class = "code hl_variable" href = "variable__and__expressions_8cc.html#a2091cd7d80fdd31762020bce86138587" > coeff< / a > , mod);< / div >
< div class = "line" > < a id = "l00140" name = "l00140" > < / a > < span class = "lineno" > 140< / span > < a class = "code hl_define" href = "base_2logging_8h.html#ab25e01a2942b821d66371fc68d53f2eb" > CHECK_NE< / a > (inverse, 0);< / div >
< div class = "line" > < a id = "l00141" name = "l00141" > < / a > < span class = "lineno" > 141< / span > < / div >
< div class = "line" > < a id = "l00142" name = "l00142" > < / a > < span class = "lineno" > 142< / span > < span class = "comment" > // We make the operation in 128 bits to be sure not to have any overflow here.< / span > < / div >
< div class = "line" > < a id = "l00143" name = "l00143" > < / a > < span class = "lineno" > 143< / span > < span class = "keyword" > const< / span > absl::int128 p = absl::int128{inverse} * absl::int128{rhs};< / div >
< div class = "line" > < a id = "l00144" name = "l00144" > < / a > < span class = "lineno" > 144< / span > < span class = "keywordflow" > return< / span > < span class = "keyword" > static_cast< < / span > int64_t< span class = "keyword" > > < / span > (p % absl::int128{mod});< / div >
< div class = "line" > < a id = "l00145" name = "l00145" > < / a > < span class = "lineno" > 145< / span > }< / div >
< div class = "line" > < a id = "l00146" name = "l00146" > < / a > < span class = "lineno" > 146< / span > < / div >
< div class = "line" > < a id = "l00147" name = "l00147" > < / a > < span class = "lineno" > < a class = "line" href = "namespaceoperations__research_1_1sat.html#a852a51b53f6217d6bfd1aef455f53f8c" > 147< / a > < / span > < span class = "keywordtype" > bool< / span > < a class = "code hl_function" href = "namespaceoperations__research_1_1sat.html#a852a51b53f6217d6bfd1aef455f53f8c" > SolveDiophantineEquationOfSizeTwo< / a > (int64_t& < a class = "code hl_variable" href = "constraint__solver_2table_8cc.html#acb18315d548212835cd8ed4287e6c0b6" > a< / a > , int64_t& < a class = "code hl_variable" href = "constraint__solver_2table_8cc.html#a9293e4d29cac928301645070dd307683" > b< / a > , int64_t& cte,< / div >
< div class = "line" > < a id = "l00148" name = "l00148" > < / a > < span class = "lineno" > 148< / span > int64_t& x0, int64_t& y0) {< / div >
< div class = "line" > < a id = "l00149" name = "l00149" > < / a > < span class = "lineno" > 149< / span > < a class = "code hl_define" href = "base_2logging_8h.html#ab25e01a2942b821d66371fc68d53f2eb" > CHECK_NE< / a > (< a class = "code hl_variable" href = "constraint__solver_2table_8cc.html#acb18315d548212835cd8ed4287e6c0b6" > a< / a > , 0);< / div >
< div class = "line" > < a id = "l00150" name = "l00150" > < / a > < span class = "lineno" > 150< / span > < a class = "code hl_define" href = "base_2logging_8h.html#ab25e01a2942b821d66371fc68d53f2eb" > CHECK_NE< / a > (< a class = "code hl_variable" href = "constraint__solver_2table_8cc.html#a9293e4d29cac928301645070dd307683" > b< / a > , 0);< / div >
< div class = "line" > < a id = "l00151" name = "l00151" > < / a > < span class = "lineno" > 151< / span > < a class = "code hl_define" href = "base_2logging_8h.html#ab25e01a2942b821d66371fc68d53f2eb" > CHECK_NE< / a > (< a class = "code hl_variable" href = "constraint__solver_2table_8cc.html#acb18315d548212835cd8ed4287e6c0b6" > a< / a > , < a class = "code hl_variable" href = "alldiff__cst_8cc.html#ad10edae0a852d72fb76afb1c77735045" > std::numeric_limits< int64_t> ::min< / a > ());< / div >
< div class = "line" > < a id = "l00152" name = "l00152" > < / a > < span class = "lineno" > 152< / span > < a class = "code hl_define" href = "base_2logging_8h.html#ab25e01a2942b821d66371fc68d53f2eb" > CHECK_NE< / a > (< a class = "code hl_variable" href = "constraint__solver_2table_8cc.html#a9293e4d29cac928301645070dd307683" > b< / a > , < a class = "code hl_variable" href = "alldiff__cst_8cc.html#ad10edae0a852d72fb76afb1c77735045" > std::numeric_limits< int64_t> ::min< / a > ());< / div >
< div class = "line" > < a id = "l00153" name = "l00153" > < / a > < span class = "lineno" > 153< / span > < / div >
< div class = "line" > < a id = "l00154" name = "l00154" > < / a > < span class = "lineno" > 154< / span > < span class = "keyword" > const< / span > int64_t gcd = std::gcd(std::abs(< a class = "code hl_variable" href = "constraint__solver_2table_8cc.html#acb18315d548212835cd8ed4287e6c0b6" > a< / a > ), std::abs(< a class = "code hl_variable" href = "constraint__solver_2table_8cc.html#a9293e4d29cac928301645070dd307683" > b< / a > ));< / div >
< div class = "line" > < a id = "l00155" name = "l00155" > < / a > < span class = "lineno" > 155< / span > < span class = "keywordflow" > if< / span > (cte % gcd != 0) < span class = "keywordflow" > return< / span > < span class = "keyword" > false< / span > ;< / div >
< div class = "line" > < a id = "l00156" name = "l00156" > < / a > < span class = "lineno" > 156< / span > < a class = "code hl_variable" href = "constraint__solver_2table_8cc.html#acb18315d548212835cd8ed4287e6c0b6" > a< / a > /= gcd;< / div >
< div class = "line" > < a id = "l00157" name = "l00157" > < / a > < span class = "lineno" > 157< / span > < a class = "code hl_variable" href = "constraint__solver_2table_8cc.html#a9293e4d29cac928301645070dd307683" > b< / a > /= gcd;< / div >
< div class = "line" > < a id = "l00158" name = "l00158" > < / a > < span class = "lineno" > 158< / span > cte /= gcd;< / div >
< div class = "line" > < a id = "l00159" name = "l00159" > < / a > < span class = "lineno" > 159< / span > < / div >
< div class = "line" > < a id = "l00160" name = "l00160" > < / a > < span class = "lineno" > 160< / span > < span class = "comment" > // The simple case where (0, 0) is a solution.< / span > < / div >
< div class = "line" > < a id = "l00161" name = "l00161" > < / a > < span class = "lineno" > 161< / span > < span class = "keywordflow" > if< / span > (cte == 0) {< / div >
< div class = "line" > < a id = "l00162" name = "l00162" > < / a > < span class = "lineno" > 162< / span > x0 = y0 = 0;< / div >
< div class = "line" > < a id = "l00163" name = "l00163" > < / a > < span class = "lineno" > 163< / span > < span class = "keywordflow" > return< / span > < span class = "keyword" > true< / span > ;< / div >
< div class = "line" > < a id = "l00164" name = "l00164" > < / a > < span class = "lineno" > 164< / span > }< / div >
2022-01-17 21:42:14 +01:00
< div class = "line" > < a id = "l00165" name = "l00165" > < / a > < span class = "lineno" > 165< / span > < / div >
2022-03-04 00:11:33 +01:00
< div class = "line" > < a id = "l00166" name = "l00166" > < / a > < span class = "lineno" > 166< / span > < span class = "comment" > // We solve a * X + b * Y = cte< / span > < / div >
< div class = "line" > < a id = "l00167" name = "l00167" > < / a > < span class = "lineno" > 167< / span > < span class = "comment" > // We take a valid x0 in [0, b) by considering the equation mod b.< / span > < / div >
< div class = "line" > < a id = "l00168" name = "l00168" > < / a > < span class = "lineno" > 168< / span > x0 = < a class = "code hl_function" href = "namespaceoperations__research_1_1sat.html#ac015d81b88379719f680eadc2aad1508" > ProductWithModularInverse< / a > (< a class = "code hl_variable" href = "constraint__solver_2table_8cc.html#acb18315d548212835cd8ed4287e6c0b6" > a< / a > , < a class = "code hl_variable" href = "constraint__solver_2table_8cc.html#a9293e4d29cac928301645070dd307683" > b< / a > , cte);< / div >
2022-01-17 21:42:14 +01:00
< div class = "line" > < a id = "l00169" name = "l00169" > < / a > < span class = "lineno" > 169< / span > < / div >
2022-03-04 00:11:33 +01:00
< div class = "line" > < a id = "l00170" name = "l00170" > < / a > < span class = "lineno" > 170< / span > < span class = "comment" > // We choose x0 of the same sign as cte.< / span > < / div >
< div class = "line" > < a id = "l00171" name = "l00171" > < / a > < span class = "lineno" > 171< / span > < span class = "keywordflow" > if< / span > (cte < 0 & & x0 != 0) x0 -= std::abs(< a class = "code hl_variable" href = "constraint__solver_2table_8cc.html#a9293e4d29cac928301645070dd307683" > b< / a > );< / 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" > // By plugging X = x0 + b * Z< / span > < / div >
< div class = "line" > < a id = "l00174" name = "l00174" > < / a > < span class = "lineno" > 174< / span > < span class = "comment" > // We have a * (x0 + b * Z) + b * Y = cte< / span > < / div >
< div class = "line" > < a id = "l00175" name = "l00175" > < / a > < span class = "lineno" > 175< / span > < span class = "comment" > // so a * b * Z + b * Y = cte - a * x0;< / span > < / div >
< div class = "line" > < a id = "l00176" name = "l00176" > < / a > < span class = "lineno" > 176< / span > < span class = "comment" > // and y0 = (cte - a * x0) / b (with an exact division by construction).< / span > < / div >
< div class = "line" > < a id = "l00177" name = "l00177" > < / a > < span class = "lineno" > 177< / span > < span class = "keyword" > const< / span > absl::int128 t = absl::int128{cte} - absl::int128{< a class = "code hl_variable" href = "constraint__solver_2table_8cc.html#acb18315d548212835cd8ed4287e6c0b6" > a< / a > } * absl::int128{x0};< / div >
< div class = "line" > < a id = "l00178" name = "l00178" > < / a > < span class = "lineno" > 178< / span > < a class = "code hl_define" href = "base_2logging_8h.html#ae89df3243bbb8341130c7b3f44145ea0" > DCHECK_EQ< / a > (t % absl::int128{< a class = "code hl_variable" href = "constraint__solver_2table_8cc.html#a9293e4d29cac928301645070dd307683" > b< / a > }, absl::int128{0});< / div >
< div class = "line" > < a id = "l00179" name = "l00179" > < / a > < span class = "lineno" > 179< / span > < / div >
< div class = "line" > < a id = "l00180" name = "l00180" > < / a > < span class = "lineno" > 180< / span > < span class = "comment" > // Overflow-wise, there is two cases for cte > 0:< / span > < / div >
< div class = "line" > < a id = "l00181" name = "l00181" > < / a > < span class = "lineno" > 181< / span > < span class = "comment" > // - a * x0 < = cte, in this case y0 will not overflow (< = cte).< / span > < / div >
< div class = "line" > < a id = "l00182" name = "l00182" > < / a > < span class = "lineno" > 182< / span > < span class = "comment" > // - a * x0 > cte, in this case y0 will be in (-a, 0].< / span > < / div >
< div class = "line" > < a id = "l00183" name = "l00183" > < / a > < span class = "lineno" > 183< / span > < span class = "keyword" > const< / span > absl::int128 r = t / absl::int128{< a class = "code hl_variable" href = "constraint__solver_2table_8cc.html#a9293e4d29cac928301645070dd307683" > b< / a > };< / div >
< div class = "line" > < a id = "l00184" name = "l00184" > < / a > < span class = "lineno" > 184< / span > < a class = "code hl_define" href = "base_2logging_8h.html#a4395e95bab44e222cb2e77251017a0e2" > DCHECK_LE< / a > (r, absl::int128{< a class = "code hl_variable" href = "alldiff__cst_8cc.html#a26e6db9bcc64b584051ecc28171ed11f" > std::numeric_limits< int64_t> ::max< / a > ()});< / div >
< div class = "line" > < a id = "l00185" name = "l00185" > < / a > < span class = "lineno" > 185< / span > < a class = "code hl_define" href = "base_2logging_8h.html#aae2dc65d9ea248d54bf39daa986dd295" > DCHECK_GE< / a > (r, absl::int128{< a class = "code hl_variable" href = "alldiff__cst_8cc.html#ad10edae0a852d72fb76afb1c77735045" > std::numeric_limits< int64_t> ::min< / a > ()});< / div >
< div class = "line" > < a id = "l00186" name = "l00186" > < / a > < span class = "lineno" > 186< / span > < / div >
< div class = "line" > < a id = "l00187" name = "l00187" > < / a > < span class = "lineno" > 187< / span > y0 = < span class = "keyword" > static_cast< < / span > int64_t< span class = "keyword" > > < / span > (r);< / div >
< div class = "line" > < a id = "l00188" name = "l00188" > < / a > < span class = "lineno" > 188< / span > < span class = "keywordflow" > return< / span > < span class = "keyword" > true< / span > ;< / div >
< div class = "line" > < a id = "l00189" name = "l00189" > < / a > < span class = "lineno" > 189< / span > }< / div >
< div class = "line" > < a id = "l00190" name = "l00190" > < / a > < span class = "lineno" > 190< / span > < / div >
< div class = "line" > < a id = "l00191" name = "l00191" > < / a > < span class = "lineno" > 191< / span > < span class = "comment" > // TODO(user): Find better implementation? In pratice passing via double is< / span > < / div >
< div class = "line" > < a id = "l00192" name = "l00192" > < / a > < span class = "lineno" > 192< / span > < span class = "comment" > // almost always correct, but the CapProd() might be a bit slow. However this< / span > < / div >
< div class = "line" > < a id = "l00193" name = "l00193" > < / a > < span class = "lineno" > 193< / span > < span class = "comment" > // is only called when we do propagate something.< / span > < / div >
< div class = "line" > < a id = "l00194" name = "l00194" > < / a > < span class = "lineno" > < a class = "line" href = "namespaceoperations__research_1_1sat.html#aa7497b495a7fbfddaea40d45861680c5" > 194< / a > < / span > int64_t < a class = "code hl_function" href = "namespaceoperations__research_1_1sat.html#aa7497b495a7fbfddaea40d45861680c5" > FloorSquareRoot< / a > (int64_t < a class = "code hl_variable" href = "constraint__solver_2table_8cc.html#acb18315d548212835cd8ed4287e6c0b6" > a< / a > ) {< / div >
< div class = "line" > < a id = "l00195" name = "l00195" > < / a > < span class = "lineno" > 195< / span > int64_t result =< / div >
< div class = "line" > < a id = "l00196" name = "l00196" > < / a > < span class = "lineno" > 196< / span > < span class = "keyword" > static_cast< < / span > int64_t< span class = "keyword" > > < / span > (std::floor(std::sqrt(< span class = "keyword" > static_cast< < / span > < span class = "keywordtype" > double< / span > < span class = "keyword" > > < / span > (< a class = "code hl_variable" href = "constraint__solver_2table_8cc.html#acb18315d548212835cd8ed4287e6c0b6" > a< / a > ))));< / div >
< div class = "line" > < a id = "l00197" name = "l00197" > < / a > < span class = "lineno" > 197< / span > < span class = "keywordflow" > while< / span > (< a class = "code hl_function" href = "namespaceoperations__research.html#aa64bf49d041052c7cb3f40f7496d7534" > CapProd< / a > (result, result) > < a class = "code hl_variable" href = "constraint__solver_2table_8cc.html#acb18315d548212835cd8ed4287e6c0b6" > a< / a > ) --result;< / div >
< div class = "line" > < a id = "l00198" name = "l00198" > < / a > < span class = "lineno" > 198< / span > < span class = "keywordflow" > while< / span > (< a class = "code hl_function" href = "namespaceoperations__research.html#aa64bf49d041052c7cb3f40f7496d7534" > CapProd< / a > (result + 1, result + 1) < = < a class = "code hl_variable" href = "constraint__solver_2table_8cc.html#acb18315d548212835cd8ed4287e6c0b6" > a< / a > ) ++result;< / div >
< div class = "line" > < a id = "l00199" name = "l00199" > < / a > < span class = "lineno" > 199< / span > < span class = "keywordflow" > return< / span > result;< / div >
< div class = "line" > < a id = "l00200" name = "l00200" > < / a > < span class = "lineno" > 200< / span > }< / div >
< div class = "line" > < a id = "l00201" name = "l00201" > < / a > < span class = "lineno" > 201< / span > < / div >
< div class = "line" > < a id = "l00202" name = "l00202" > < / a > < span class = "lineno" > 202< / span > < span class = "comment" > // TODO(user): Find better implementation?< / span > < / div >
< div class = "line" > < a id = "l00203" name = "l00203" > < / a > < span class = "lineno" > < a class = "line" href = "namespaceoperations__research_1_1sat.html#a72e9fb9c1d4b0649782f8696e85cbbaa" > 203< / a > < / span > int64_t < a class = "code hl_function" href = "namespaceoperations__research_1_1sat.html#a72e9fb9c1d4b0649782f8696e85cbbaa" > CeilSquareRoot< / a > (int64_t < a class = "code hl_variable" href = "constraint__solver_2table_8cc.html#acb18315d548212835cd8ed4287e6c0b6" > a< / a > ) {< / div >
< div class = "line" > < a id = "l00204" name = "l00204" > < / a > < span class = "lineno" > 204< / span > int64_t result =< / div >
< div class = "line" > < a id = "l00205" name = "l00205" > < / a > < span class = "lineno" > 205< / span > < span class = "keyword" > static_cast< < / span > int64_t< span class = "keyword" > > < / span > (std::ceil(std::sqrt(< span class = "keyword" > static_cast< < / span > < span class = "keywordtype" > double< / span > < span class = "keyword" > > < / span > (< a class = "code hl_variable" href = "constraint__solver_2table_8cc.html#acb18315d548212835cd8ed4287e6c0b6" > a< / a > ))));< / div >
< div class = "line" > < a id = "l00206" name = "l00206" > < / a > < span class = "lineno" > 206< / span > < span class = "keywordflow" > while< / span > (< a class = "code hl_function" href = "namespaceoperations__research.html#aa64bf49d041052c7cb3f40f7496d7534" > CapProd< / a > (result, result) < < a class = "code hl_variable" href = "constraint__solver_2table_8cc.html#acb18315d548212835cd8ed4287e6c0b6" > a< / a > ) ++result;< / div >
< div class = "line" > < a id = "l00207" name = "l00207" > < / a > < span class = "lineno" > 207< / span > < span class = "keywordflow" > while< / span > ((result - 1) * (result - 1) > = < a class = "code hl_variable" href = "constraint__solver_2table_8cc.html#acb18315d548212835cd8ed4287e6c0b6" > a< / a > ) --result;< / div >
< div class = "line" > < a id = "l00208" name = "l00208" > < / a > < span class = "lineno" > 208< / span > < span class = "keywordflow" > return< / span > result;< / div >
< div class = "line" > < a id = "l00209" name = "l00209" > < / a > < span class = "lineno" > 209< / span > }< / div >
< div class = "line" > < a id = "l00210" name = "l00210" > < / a > < span class = "lineno" > 210< / span > < / div >
< div class = "line" > < a id = "l00211" name = "l00211" > < / a > < span class = "lineno" > < a class = "line" href = "namespaceoperations__research_1_1sat.html#a2269a7a6f3b17cbd10a8d8a3914d8b51" > 211< / a > < / span > int64_t < a class = "code hl_function" href = "namespaceoperations__research_1_1sat.html#a2269a7a6f3b17cbd10a8d8a3914d8b51" > ClosestMultiple< / a > (int64_t < a class = "code hl_variable" href = "demon__profiler_8cc.html#ac072af30c4ffbc834bb4c681f6ecb514" > value< / a > , int64_t base) {< / div >
< div class = "line" > < a id = "l00212" name = "l00212" > < / a > < span class = "lineno" > 212< / span > < span class = "keywordflow" > if< / span > (< a class = "code hl_variable" href = "demon__profiler_8cc.html#ac072af30c4ffbc834bb4c681f6ecb514" > value< / a > < 0) < span class = "keywordflow" > return< / span > -< a class = "code hl_function" href = "namespaceoperations__research_1_1sat.html#a2269a7a6f3b17cbd10a8d8a3914d8b51" > ClosestMultiple< / a > (-< a class = "code hl_variable" href = "demon__profiler_8cc.html#ac072af30c4ffbc834bb4c681f6ecb514" > value< / a > , base);< / div >
< div class = "line" > < a id = "l00213" name = "l00213" > < / a > < span class = "lineno" > 213< / span > int64_t result = < a class = "code hl_variable" href = "demon__profiler_8cc.html#ac072af30c4ffbc834bb4c681f6ecb514" > value< / a > / base * base;< / div >
< div class = "line" > < a id = "l00214" name = "l00214" > < / a > < span class = "lineno" > 214< / span > < span class = "keywordflow" > if< / span > (< a class = "code hl_variable" href = "demon__profiler_8cc.html#ac072af30c4ffbc834bb4c681f6ecb514" > value< / a > - result > base / 2) result += base;< / div >
< div class = "line" > < a id = "l00215" name = "l00215" > < / a > < span class = "lineno" > 215< / span > < span class = "keywordflow" > return< / span > result;< / div >
< div class = "line" > < a id = "l00216" name = "l00216" > < / a > < span class = "lineno" > 216< / span > }< / div >
< div class = "line" > < a id = "l00217" name = "l00217" > < / a > < span class = "lineno" > 217< / span > < / div >
< div class = "line" > < a id = "l00218" name = "l00218" > < / a > < span class = "lineno" > < a class = "line" href = "namespaceoperations__research_1_1sat.html#af20de3e143682d110b863c2e9435f050" > 218< / a > < / span > < span class = "keywordtype" > bool< / span > < a class = "code hl_function" href = "namespaceoperations__research_1_1sat.html#af20de3e143682d110b863c2e9435f050" > LinearInequalityCanBeReducedWithClosestMultiple< / a > (< / div >
< div class = "line" > < a id = "l00219" name = "l00219" > < / a > < span class = "lineno" > 219< / span > int64_t base, < span class = "keyword" > const< / span > std::vector< int64_t> & coeffs,< / div >
< div class = "line" > < a id = "l00220" name = "l00220" > < / a > < span class = "lineno" > 220< / span > < span class = "keyword" > const< / span > std::vector< int64_t> & lbs, < span class = "keyword" > const< / span > std::vector< int64_t> & ubs,< / div >
< div class = "line" > < a id = "l00221" name = "l00221" > < / a > < span class = "lineno" > 221< / span > int64_t rhs, int64_t* new_rhs) {< / div >
< div class = "line" > < a id = "l00222" name = "l00222" > < / a > < span class = "lineno" > 222< / span > < span class = "comment" > // Precompute some bounds for the equation base * X + error < = rhs.< / span > < / div >
< div class = "line" > < a id = "l00223" name = "l00223" > < / a > < span class = "lineno" > 223< / span > int64_t max_activity = 0;< / div >
< div class = "line" > < a id = "l00224" name = "l00224" > < / a > < span class = "lineno" > 224< / span > int64_t max_x = 0;< / div >
< div class = "line" > < a id = "l00225" name = "l00225" > < / a > < span class = "lineno" > 225< / span > int64_t min_error = 0;< / div >
< div class = "line" > < a id = "l00226" name = "l00226" > < / a > < span class = "lineno" > 226< / span > < span class = "keyword" > const< / span > < span class = "keywordtype" > int< / span > num_terms = coeffs.size();< / div >
< div class = "line" > < a id = "l00227" name = "l00227" > < / a > < span class = "lineno" > 227< / span > < span class = "keywordflow" > if< / span > (num_terms == 0) < span class = "keywordflow" > return< / span > < span class = "keyword" > false< / span > ;< / div >
< div class = "line" > < a id = "l00228" name = "l00228" > < / a > < span class = "lineno" > 228< / span > < span class = "keywordflow" > for< / span > (< span class = "keywordtype" > int< / span > i = 0; i < num_terms; ++i) {< / div >
< div class = "line" > < a id = "l00229" name = "l00229" > < / a > < span class = "lineno" > 229< / span > < span class = "keyword" > const< / span > int64_t < a class = "code hl_variable" href = "variable__and__expressions_8cc.html#a2091cd7d80fdd31762020bce86138587" > coeff< / a > = coeffs[i];< / div >
< div class = "line" > < a id = "l00230" name = "l00230" > < / a > < span class = "lineno" > 230< / span > < a class = "code hl_define" href = "base_2logging_8h.html#a7e03ec13560fa94a8fea569960d7efc6" > CHECK_GT< / a > (< a class = "code hl_variable" href = "variable__and__expressions_8cc.html#a2091cd7d80fdd31762020bce86138587" > coeff< / a > , 0);< / div >
< div class = "line" > < a id = "l00231" name = "l00231" > < / a > < span class = "lineno" > 231< / span > < span class = "keyword" > const< / span > int64_t closest = < a class = "code hl_function" href = "namespaceoperations__research_1_1sat.html#a2269a7a6f3b17cbd10a8d8a3914d8b51" > ClosestMultiple< / a > (< a class = "code hl_variable" href = "variable__and__expressions_8cc.html#a2091cd7d80fdd31762020bce86138587" > coeff< / a > , base);< / div >
< div class = "line" > < a id = "l00232" name = "l00232" > < / a > < span class = "lineno" > 232< / span > max_activity += < a class = "code hl_variable" href = "variable__and__expressions_8cc.html#a2091cd7d80fdd31762020bce86138587" > coeff< / a > * ubs[i];< / div >
< div class = "line" > < a id = "l00233" name = "l00233" > < / a > < span class = "lineno" > 233< / span > max_x += closest / base * ubs[i];< / div >
< div class = "line" > < a id = "l00234" name = "l00234" > < / a > < span class = "lineno" > 234< / span > < / div >
< div class = "line" > < a id = "l00235" name = "l00235" > < / a > < span class = "lineno" > 235< / span > < span class = "keyword" > const< / span > int64_t error = < a class = "code hl_variable" href = "variable__and__expressions_8cc.html#a2091cd7d80fdd31762020bce86138587" > coeff< / a > - closest;< / div >
< div class = "line" > < a id = "l00236" name = "l00236" > < / a > < span class = "lineno" > 236< / span > < span class = "keywordflow" > if< / span > (error > = 0) {< / div >
< div class = "line" > < a id = "l00237" name = "l00237" > < / a > < span class = "lineno" > 237< / span > min_error += error * lbs[i];< / div >
< div class = "line" > < a id = "l00238" name = "l00238" > < / a > < span class = "lineno" > 238< / span > } < span class = "keywordflow" > else< / span > {< / div >
< div class = "line" > < a id = "l00239" name = "l00239" > < / a > < span class = "lineno" > 239< / span > min_error += error * ubs[i];< / div >
< div class = "line" > < a id = "l00240" name = "l00240" > < / a > < span class = "lineno" > 240< / span > }< / div >
< div class = "line" > < a id = "l00241" name = "l00241" > < / a > < span class = "lineno" > 241< / span > }< / div >
< div class = "line" > < a id = "l00242" name = "l00242" > < / a > < span class = "lineno" > 242< / span > < / div >
< div class = "line" > < a id = "l00243" name = "l00243" > < / a > < span class = "lineno" > 243< / span > < span class = "keywordflow" > if< / span > (max_activity < = rhs) {< / div >
< div class = "line" > < a id = "l00244" name = "l00244" > < / a > < span class = "lineno" > 244< / span > < span class = "comment" > // The constraint is trivially true.< / span > < / div >
< div class = "line" > < a id = "l00245" name = "l00245" > < / a > < span class = "lineno" > 245< / span > *new_rhs = max_x;< / div >
< div class = "line" > < a id = "l00246" name = "l00246" > < / a > < span class = "lineno" > 246< / span > < span class = "keywordflow" > return< / span > < span class = "keyword" > true< / 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" > // This is the max error assuming that activity > rhs.< / span > < / div >
< div class = "line" > < a id = "l00250" name = "l00250" > < / a > < span class = "lineno" > 250< / span > int64_t max_error_if_invalid = 0;< / div >
< div class = "line" > < a id = "l00251" name = "l00251" > < / a > < span class = "lineno" > 251< / span > < span class = "keyword" > const< / span > int64_t slack = max_activity - rhs - 1;< / div >
< div class = "line" > < a id = "l00252" name = "l00252" > < / a > < span class = "lineno" > 252< / span > < span class = "keywordflow" > for< / span > (< span class = "keywordtype" > int< / span > i = 0; i < num_terms; ++i) {< / div >
< div class = "line" > < a id = "l00253" name = "l00253" > < / a > < span class = "lineno" > 253< / span > < span class = "keyword" > const< / span > int64_t < a class = "code hl_variable" href = "variable__and__expressions_8cc.html#a2091cd7d80fdd31762020bce86138587" > coeff< / a > = coeffs[i];< / div >
< div class = "line" > < a id = "l00254" name = "l00254" > < / a > < span class = "lineno" > 254< / span > < span class = "keyword" > const< / span > int64_t closest = < a class = "code hl_function" href = "namespaceoperations__research_1_1sat.html#a2269a7a6f3b17cbd10a8d8a3914d8b51" > ClosestMultiple< / a > (< a class = "code hl_variable" href = "variable__and__expressions_8cc.html#a2091cd7d80fdd31762020bce86138587" > coeff< / a > , base);< / div >
< div class = "line" > < a id = "l00255" name = "l00255" > < / a > < span class = "lineno" > 255< / span > < span class = "keyword" > const< / span > int64_t error = < a class = "code hl_variable" href = "variable__and__expressions_8cc.html#a2091cd7d80fdd31762020bce86138587" > coeff< / a > - closest;< / div >
< div class = "line" > < a id = "l00256" name = "l00256" > < / a > < span class = "lineno" > 256< / span > < span class = "keywordflow" > if< / span > (error > = 0) {< / div >
< div class = "line" > < a id = "l00257" name = "l00257" > < / a > < span class = "lineno" > 257< / span > max_error_if_invalid += error * ubs[i];< / div >
< div class = "line" > < a id = "l00258" name = "l00258" > < / a > < span class = "lineno" > 258< / span > } < span class = "keywordflow" > else< / span > {< / div >
< div class = "line" > < a id = "l00259" name = "l00259" > < / a > < span class = "lineno" > 259< / span > < span class = "keyword" > const< / span > int64_t lb = < a class = "code hl_variable" href = "alldiff__cst_8cc.html#a26e6db9bcc64b584051ecc28171ed11f" > std::max< / a > (lbs[i], ubs[i] - slack / < a class = "code hl_variable" href = "variable__and__expressions_8cc.html#a2091cd7d80fdd31762020bce86138587" > coeff< / a > );< / div >
< div class = "line" > < a id = "l00260" name = "l00260" > < / a > < span class = "lineno" > 260< / span > max_error_if_invalid += error * lb;< / div >
< div class = "line" > < a id = "l00261" name = "l00261" > < / a > < span class = "lineno" > 261< / span > }< / 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 > < / div >
< div class = "line" > < a id = "l00264" name = "l00264" > < / a > < span class = "lineno" > 264< / span > < span class = "comment" > // We have old solution valid => < / span > < / div >
< div class = "line" > < a id = "l00265" name = "l00265" > < / a > < span class = "lineno" > 265< / span > < span class = "comment" > // base * X + error < = rhs< / span > < / div >
< div class = "line" > < a id = "l00266" name = "l00266" > < / a > < span class = "lineno" > 266< / span > < span class = "comment" > // base * X < = rhs - error< / span > < / div >
< div class = "line" > < a id = "l00267" name = "l00267" > < / a > < span class = "lineno" > 267< / span > < span class = "comment" > // base * X < = rhs - min_error< / span > < / div >
< div class = "line" > < a id = "l00268" name = "l00268" > < / a > < span class = "lineno" > 268< / span > < span class = "comment" > // X < = new_rhs< / span > < / div >
< div class = "line" > < a id = "l00269" name = "l00269" > < / a > < span class = "lineno" > 269< / span > *new_rhs = < a class = "code hl_variable" href = "alldiff__cst_8cc.html#ad10edae0a852d72fb76afb1c77735045" > std::min< / a > (max_x, < a class = "code hl_function" href = "classoperations__research_1_1_math_util.html#a9e5c13b72c36481ed098c05031d1f850" > MathUtil::FloorOfRatio< / a > (rhs - min_error, base));< / div >
< div class = "line" > < a id = "l00270" name = "l00270" > < / a > < span class = "lineno" > 270< / span > < / div >
< div class = "line" > < a id = "l00271" name = "l00271" > < / a > < span class = "lineno" > 271< / span > < span class = "comment" > // And we have old solution invalid => < / span > < / div >
< div class = "line" > < a id = "l00272" name = "l00272" > < / a > < span class = "lineno" > 272< / span > < span class = "comment" > // base * X + error > = rhs + 1< / span > < / div >
< div class = "line" > < a id = "l00273" name = "l00273" > < / a > < span class = "lineno" > 273< / span > < span class = "comment" > // base * X > = rhs + 1 - max_error_if_invalid< / span > < / div >
< div class = "line" > < a id = "l00274" name = "l00274" > < / a > < span class = "lineno" > 274< / span > < span class = "comment" > // X > = infeasibility_bound< / span > < / div >
< div class = "line" > < a id = "l00275" name = "l00275" > < / a > < span class = "lineno" > 275< / span > < span class = "keyword" > const< / span > int64_t infeasibility_bound =< / div >
< div class = "line" > < a id = "l00276" name = "l00276" > < / a > < span class = "lineno" > 276< / span > < a class = "code hl_function" href = "classoperations__research_1_1_math_util.html#a0cfaf8b139304c54e3403d4ffbd60157" > MathUtil::CeilOfRatio< / a > (rhs + 1 - max_error_if_invalid, base);< / div >
2022-01-17 21:42:14 +01:00
< div class = "line" > < a id = "l00277" name = "l00277" > < / a > < span class = "lineno" > 277< / span > < / div >
2022-03-04 00:11:33 +01:00
< div class = "line" > < a id = "l00278" name = "l00278" > < / a > < span class = "lineno" > 278< / span > < span class = "comment" > // If the two bounds can be separated, we have an equivalence !< / span > < / div >
< div class = "line" > < a id = "l00279" name = "l00279" > < / a > < span class = "lineno" > 279< / span > < span class = "keywordflow" > return< / span > *new_rhs < infeasibility_bound;< / div >
< div class = "line" > < a id = "l00280" name = "l00280" > < / a > < span class = "lineno" > 280< / span > }< / div >
2022-01-17 21:42:14 +01:00
< div class = "line" > < a id = "l00281" name = "l00281" > < / a > < span class = "lineno" > 281< / span > < / div >
2022-03-04 00:11:33 +01:00
< div class = "line" > < a id = "l00282" name = "l00282" > < / a > < span class = "lineno" > < a class = "line" href = "namespaceoperations__research_1_1sat.html#ae1ffd76bca69ccb2e7b65dfe2cf76f2e" > 282< / a > < / span > < span class = "keywordtype" > int< / span > < a class = "code hl_function" href = "namespaceoperations__research_1_1sat.html#ae1ffd76bca69ccb2e7b65dfe2cf76f2e" > MoveOneUnprocessedLiteralLast< / a > (< / div >
< div class = "line" > < a id = "l00283" name = "l00283" > < / a > < span class = "lineno" > 283< / span > < span class = "keyword" > const< / span > absl::btree_set< LiteralIndex> & processed, < span class = "keywordtype" > int< / span > relevant_prefix_size,< / div >
< div class = "line" > < a id = "l00284" name = "l00284" > < / a > < span class = "lineno" > 284< / span > std::vector< Literal> * literals) {< / div >
< div class = "line" > < a id = "l00285" name = "l00285" > < / a > < span class = "lineno" > 285< / span > < span class = "keywordflow" > if< / span > (literals-> empty()) < span class = "keywordflow" > return< / span > -1;< / div >
< div class = "line" > < a id = "l00286" name = "l00286" > < / a > < span class = "lineno" > 286< / span > < span class = "keywordflow" > if< / span > (!< a class = "code hl_function" href = "namespacegtl.html#aae28e97bd1fa93cb0032642550da7455" > gtl::ContainsKey< / a > (processed, literals-> back().Index())) {< / div >
< div class = "line" > < a id = "l00287" name = "l00287" > < / a > < span class = "lineno" > 287< / span > < span class = "keywordflow" > return< / span > std::min< int> (relevant_prefix_size, literals-> size());< / div >
< div class = "line" > < a id = "l00288" name = "l00288" > < / a > < span class = "lineno" > 288< / span > }< / 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 > < span class = "comment" > // To get O(n log n) size of suffixes, we will first process the last n/2< / span > < / div >
< div class = "line" > < a id = "l00291" name = "l00291" > < / a > < span class = "lineno" > 291< / span > < span class = "comment" > // literals, we then move all of them first and process the n/2 literals left.< / span > < / div >
< div class = "line" > < a id = "l00292" name = "l00292" > < / a > < span class = "lineno" > 292< / span > < span class = "comment" > // We use the same algorithm recursively. The sum of the suffixes' size S(n)< / span > < / div >
< div class = "line" > < a id = "l00293" name = "l00293" > < / a > < span class = "lineno" > 293< / span > < span class = "comment" > // is thus S(n/2) + n + S(n/2). That gives us the correct complexity. The code< / span > < / div >
< div class = "line" > < a id = "l00294" name = "l00294" > < / a > < span class = "lineno" > 294< / span > < span class = "comment" > // below simulates one step of this algorithm and is made to be " robust" when< / span > < / div >
< div class = "line" > < a id = "l00295" name = "l00295" > < / a > < span class = "lineno" > 295< / span > < span class = "comment" > // from one call to the next, some literals have been removed (but the order< / span > < / div >
< div class = "line" > < a id = "l00296" name = "l00296" > < / a > < span class = "lineno" > 296< / span > < span class = "comment" > // of literals is preserved).< / span > < / div >
< div class = "line" > < a id = "l00297" name = "l00297" > < / a > < span class = "lineno" > 297< / span > < span class = "keywordtype" > int< / span > num_processed = 0;< / div >
< div class = "line" > < a id = "l00298" name = "l00298" > < / a > < span class = "lineno" > 298< / span > < span class = "keywordtype" > int< / span > num_not_processed = 0;< / div >
< div class = "line" > < a id = "l00299" name = "l00299" > < / a > < span class = "lineno" > 299< / span > < span class = "keywordtype" > int< / span > target_prefix_size = literals-> size() - 1;< / div >
< div class = "line" > < a id = "l00300" name = "l00300" > < / a > < span class = "lineno" > 300< / span > < span class = "keywordflow" > for< / span > (< span class = "keywordtype" > int< / span > i = literals-> size() - 1; i > = 0; i--) {< / div >
< div class = "line" > < a id = "l00301" name = "l00301" > < / a > < span class = "lineno" > 301< / span > < span class = "keywordflow" > if< / span > (< a class = "code hl_function" href = "namespacegtl.html#aae28e97bd1fa93cb0032642550da7455" > gtl::ContainsKey< / a > (processed, (*literals)[i].< a class = "code hl_typedef" href = "namespaceoperations__research_1_1glop.html#ac89c7b45754e9a6bdabc08bea586fc4e" > Index< / a > ())) {< / div >
< div class = "line" > < a id = "l00302" name = "l00302" > < / a > < span class = "lineno" > 302< / span > ++num_processed;< / div >
< div class = "line" > < a id = "l00303" name = "l00303" > < / a > < span class = "lineno" > 303< / span > } < span class = "keywordflow" > else< / span > {< / div >
< div class = "line" > < a id = "l00304" name = "l00304" > < / a > < span class = "lineno" > 304< / span > ++num_not_processed;< / div >
< div class = "line" > < a id = "l00305" name = "l00305" > < / a > < span class = "lineno" > 305< / span > target_prefix_size = i;< / 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 = "keywordflow" > if< / span > (num_not_processed > = num_processed) < span class = "keywordflow" > break< / span > ;< / div >
< div class = "line" > < a id = "l00308" name = "l00308" > < / a > < span class = "lineno" > 308< / span > }< / div >
< div class = "line" > < a id = "l00309" name = "l00309" > < / a > < span class = "lineno" > 309< / span > < span class = "keywordflow" > if< / span > (num_not_processed == 0) < span class = "keywordflow" > return< / span > -1;< / div >
< div class = "line" > < a id = "l00310" name = "l00310" > < / a > < span class = "lineno" > 310< / span > target_prefix_size = < a class = "code hl_variable" href = "alldiff__cst_8cc.html#ad10edae0a852d72fb76afb1c77735045" > std::min< / a > (target_prefix_size, relevant_prefix_size);< / 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 > < span class = "comment" > // Once a prefix size has been decided, it is always better to< / span > < / div >
< div class = "line" > < a id = "l00313" name = "l00313" > < / a > < span class = "lineno" > 313< / span > < span class = "comment" > // enqueue the literal already processed first.< / span > < / div >
< div class = "line" > < a id = "l00314" name = "l00314" > < / a > < span class = "lineno" > 314< / span > std::stable_partition(literals-> begin() + target_prefix_size, literals-> end(),< / div >
< div class = "line" > < a id = "l00315" name = "l00315" > < / a > < span class = "lineno" > 315< / span > [& processed](< a class = "code hl_class" href = "classoperations__research_1_1sat_1_1_literal.html" > Literal< / a > l) {< / div >
< div class = "line" > < a id = "l00316" name = "l00316" > < / a > < span class = "lineno" > 316< / span > return gtl::ContainsKey(processed, l.Index());< / div >
< div class = "line" > < a id = "l00317" name = "l00317" > < / a > < span class = "lineno" > 317< / span > });< / div >
< div class = "line" > < a id = "l00318" name = "l00318" > < / a > < span class = "lineno" > 318< / span > < span class = "keywordflow" > return< / span > target_prefix_size;< / 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" > < a class = "line" href = "classoperations__research_1_1sat_1_1_incremental_average.html#adf01dcbe31fa99f0a8f9d91ba9f85b8b" > 321< / a > < / span > < span class = "keywordtype" > void< / span > < a class = "code hl_function" href = "classoperations__research_1_1sat_1_1_incremental_average.html#adf01dcbe31fa99f0a8f9d91ba9f85b8b" > IncrementalAverage::Reset< / a > (< span class = "keywordtype" > double< / span > reset_value) {< / div >
< div class = "line" > < a id = "l00322" name = "l00322" > < / a > < span class = "lineno" > 322< / span > num_records_ = 0;< / div >
< div class = "line" > < a id = "l00323" name = "l00323" > < / a > < span class = "lineno" > 323< / span > average_ = reset_value;< / 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 > < / div >
< div class = "line" > < a id = "l00326" name = "l00326" > < / a > < span class = "lineno" > < a class = "line" href = "classoperations__research_1_1sat_1_1_incremental_average.html#a198870bbc0f9b8d197a4c80f766ddf49" > 326< / a > < / span > < span class = "keywordtype" > void< / span > < a class = "code hl_function" href = "classoperations__research_1_1sat_1_1_incremental_average.html#a198870bbc0f9b8d197a4c80f766ddf49" > IncrementalAverage::AddData< / a > (< span class = "keywordtype" > double< / span > new_record) {< / div >
< div class = "line" > < a id = "l00327" name = "l00327" > < / a > < span class = "lineno" > 327< / span > num_records_++;< / div >
< div class = "line" > < a id = "l00328" name = "l00328" > < / a > < span class = "lineno" > 328< / span > average_ += (new_record - average_) / num_records_;< / div >
< div class = "line" > < a id = "l00329" name = "l00329" > < / a > < span class = "lineno" > 329< / span > }< / 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" > < a class = "line" href = "classoperations__research_1_1sat_1_1_exponential_moving_average.html#a198870bbc0f9b8d197a4c80f766ddf49" > 331< / a > < / span > < span class = "keywordtype" > void< / span > < a class = "code hl_function" href = "classoperations__research_1_1sat_1_1_exponential_moving_average.html#a198870bbc0f9b8d197a4c80f766ddf49" > ExponentialMovingAverage::AddData< / a > (< span class = "keywordtype" > double< / span > new_record) {< / div >
< div class = "line" > < a id = "l00332" name = "l00332" > < / a > < span class = "lineno" > 332< / span > num_records_++;< / div >
< div class = "line" > < a id = "l00333" name = "l00333" > < / a > < span class = "lineno" > 333< / span > average_ = (num_records_ == 1)< / div >
< div class = "line" > < a id = "l00334" name = "l00334" > < / a > < span class = "lineno" > 334< / span > ? new_record< / div >
< div class = "line" > < a id = "l00335" name = "l00335" > < / a > < span class = "lineno" > 335< / span > : (new_record + decaying_factor_ * (average_ - new_record));< / 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" > < a class = "line" href = "classoperations__research_1_1sat_1_1_percentile.html#adfcf2b433605c03210cbd06e28ce9d97" > 338< / a > < / span > < span class = "keywordtype" > void< / span > < a class = "code hl_function" href = "classoperations__research_1_1sat_1_1_percentile.html#adfcf2b433605c03210cbd06e28ce9d97" > Percentile::AddRecord< / a > (< span class = "keywordtype" > double< / span > record) {< / div >
< div class = "line" > < a id = "l00339" name = "l00339" > < / a > < span class = "lineno" > 339< / span > records_.push_front(record);< / div >
< div class = "line" > < a id = "l00340" name = "l00340" > < / a > < span class = "lineno" > 340< / span > < span class = "keywordflow" > if< / span > (records_.size() > record_limit_) {< / div >
< div class = "line" > < a id = "l00341" name = "l00341" > < / a > < span class = "lineno" > 341< / span > records_.pop_back();< / div >
< div class = "line" > < a id = "l00342" name = "l00342" > < / a > < span class = "lineno" > 342< / span > }< / div >
< div class = "line" > < a id = "l00343" name = "l00343" > < / a > < span class = "lineno" > 343< / span > }< / div >
< div class = "line" > < a id = "l00344" name = "l00344" > < / a > < span class = "lineno" > 344< / span > < / div >
< div class = "line" > < a id = "l00345" name = "l00345" > < / a > < span class = "lineno" > < a class = "line" href = "classoperations__research_1_1sat_1_1_percentile.html#a006c3e4f212cee5414d510a9ded6eedb" > 345< / a > < / span > < span class = "keywordtype" > double< / span > < a class = "code hl_function" href = "classoperations__research_1_1sat_1_1_percentile.html#a006c3e4f212cee5414d510a9ded6eedb" > Percentile::GetPercentile< / a > (< span class = "keywordtype" > double< / span > percent) {< / div >
< div class = "line" > < a id = "l00346" name = "l00346" > < / a > < span class = "lineno" > 346< / span > < a class = "code hl_define" href = "base_2logging_8h.html#a7e03ec13560fa94a8fea569960d7efc6" > CHECK_GT< / a > (records_.size(), 0);< / div >
< div class = "line" > < a id = "l00347" name = "l00347" > < / a > < span class = "lineno" > 347< / span > < a class = "code hl_define" href = "base_2logging_8h.html#ae4db23f10f5d4aad6d735f5a74cd6f8c" > CHECK_LE< / a > (percent, 100.0);< / div >
< div class = "line" > < a id = "l00348" name = "l00348" > < / a > < span class = "lineno" > 348< / span > < a class = "code hl_define" href = "base_2logging_8h.html#a7cc25402ecd7591b4c39934dd656b1f9" > CHECK_GE< / a > (percent, 0.0);< / div >
< div class = "line" > < a id = "l00349" name = "l00349" > < / a > < span class = "lineno" > 349< / span > std::vector< double> sorted_records(records_.begin(), records_.end());< / div >
< div class = "line" > < a id = "l00350" name = "l00350" > < / a > < span class = "lineno" > 350< / span > std::sort(sorted_records.begin(), sorted_records.end());< / div >
< div class = "line" > < a id = "l00351" name = "l00351" > < / a > < span class = "lineno" > 351< / span > < span class = "keyword" > const< / span > < span class = "keywordtype" > int< / span > num_records = sorted_records.size();< / 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 > < span class = "keyword" > const< / span > < span class = "keywordtype" > double< / span > percentile_rank =< / div >
< div class = "line" > < a id = "l00354" name = "l00354" > < / a > < span class = "lineno" > 354< / span > < span class = "keyword" > static_cast< < / span > < span class = "keywordtype" > double< / span > < span class = "keyword" > > < / span > (num_records) * percent / 100.0 - 0.5;< / div >
< div class = "line" > < a id = "l00355" name = "l00355" > < / a > < span class = "lineno" > 355< / span > < span class = "keywordflow" > if< / span > (percentile_rank < = 0) {< / div >
< div class = "line" > < a id = "l00356" name = "l00356" > < / a > < span class = "lineno" > 356< / span > < span class = "keywordflow" > return< / span > sorted_records.front();< / div >
< div class = "line" > < a id = "l00357" name = "l00357" > < / a > < span class = "lineno" > 357< / span > } < span class = "keywordflow" > else< / span > < span class = "keywordflow" > if< / span > (percentile_rank > = num_records - 1) {< / div >
< div class = "line" > < a id = "l00358" name = "l00358" > < / a > < span class = "lineno" > 358< / span > < span class = "keywordflow" > return< / span > sorted_records.back();< / div >
< div class = "line" > < a id = "l00359" name = "l00359" > < / a > < span class = "lineno" > 359< / span > }< / div >
< div class = "line" > < a id = "l00360" name = "l00360" > < / a > < span class = "lineno" > 360< / span > < span class = "comment" > // Interpolate.< / span > < / div >
< div class = "line" > < a id = "l00361" name = "l00361" > < / a > < span class = "lineno" > 361< / span > < a class = "code hl_define" href = "base_2logging_8h.html#aae2dc65d9ea248d54bf39daa986dd295" > DCHECK_GE< / a > (num_records, 2);< / div >
< div class = "line" > < a id = "l00362" name = "l00362" > < / a > < span class = "lineno" > 362< / span > < a class = "code hl_define" href = "base_2logging_8h.html#ab62f5ed8f2d48e29802be0cbbcd1359a" > DCHECK_LT< / a > (percentile_rank, num_records - 1);< / div >
< div class = "line" > < a id = "l00363" name = "l00363" > < / a > < span class = "lineno" > 363< / span > < span class = "keyword" > const< / span > < span class = "keywordtype" > int< / span > lower_rank = < span class = "keyword" > static_cast< < / span > < span class = "keywordtype" > int< / span > < span class = "keyword" > > < / span > (std::floor(percentile_rank));< / div >
< div class = "line" > < a id = "l00364" name = "l00364" > < / a > < span class = "lineno" > 364< / span > < a class = "code hl_define" href = "base_2logging_8h.html#ab62f5ed8f2d48e29802be0cbbcd1359a" > DCHECK_LT< / a > (lower_rank, num_records - 1);< / div >
< div class = "line" > < a id = "l00365" name = "l00365" > < / a > < span class = "lineno" > 365< / span > < span class = "keywordflow" > return< / span > sorted_records[lower_rank] +< / div >
< div class = "line" > < a id = "l00366" name = "l00366" > < / a > < span class = "lineno" > 366< / span > (percentile_rank - lower_rank) *< / div >
< div class = "line" > < a id = "l00367" name = "l00367" > < / a > < span class = "lineno" > 367< / span > (sorted_records[lower_rank + 1] - sorted_records[lower_rank]);< / div >
< div class = "line" > < a id = "l00368" name = "l00368" > < / a > < span class = "lineno" > 368< / span > }< / div >
< div class = "line" > < a id = "l00369" name = "l00369" > < / a > < span class = "lineno" > 369< / span > < / div >
< div class = "line" > < a id = "l00370" name = "l00370" > < / a > < span class = "lineno" > < a class = "line" href = "namespaceoperations__research_1_1sat.html#a3e5f39b52251ad02e571592493b4d39f" > 370< / a > < / span > < span class = "keywordtype" > void< / span > < a class = "code hl_function" href = "namespaceoperations__research_1_1sat.html#a3e5f39b52251ad02e571592493b4d39f" > CompressTuples< / a > (absl::Span< const int64_t> domain_sizes, int64_t any_value,< / div >
< div class = "line" > < a id = "l00371" name = "l00371" > < / a > < span class = "lineno" > 371< / span > std::vector< std::vector< int64_t> > * tuples) {< / div >
< div class = "line" > < a id = "l00372" name = "l00372" > < / a > < span class = "lineno" > 372< / span > < span class = "keywordflow" > if< / span > (tuples-> empty()) < span class = "keywordflow" > return< / span > ;< / div >
< div class = "line" > < a id = "l00373" name = "l00373" > < / a > < span class = "lineno" > 373< / span > < / div >
< div class = "line" > < a id = "l00374" name = "l00374" > < / a > < span class = "lineno" > 374< / span > < span class = "comment" > // Remove duplicates if any.< / span > < / div >
< div class = "line" > < a id = "l00375" name = "l00375" > < / a > < span class = "lineno" > 375< / span > < a class = "code hl_function" href = "namespacegtl.html#a288a1dc92da5d3ad62d4bc4cec9e8b1d" > gtl::STLSortAndRemoveDuplicates< / a > (tuples);< / 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 = "keyword" > const< / span > < span class = "keywordtype" > int< / span > num_vars = (*tuples)[0].size();< / div >
< div class = "line" > < a id = "l00378" name = "l00378" > < / a > < span class = "lineno" > 378< / span > < / div >
< div class = "line" > < a id = "l00379" name = "l00379" > < / a > < span class = "lineno" > 379< / span > std::vector< int> to_remove;< / div >
< div class = "line" > < a id = "l00380" name = "l00380" > < / a > < span class = "lineno" > 380< / span > std::vector< int64_t> tuple_minus_var_i(num_vars - 1);< / div >
< div class = "line" > < a id = "l00381" name = "l00381" > < / a > < span class = "lineno" > 381< / span > < span class = "keywordflow" > for< / span > (< span class = "keywordtype" > int< / span > i = 0; i < num_vars; ++i) {< / div >
< div class = "line" > < a id = "l00382" name = "l00382" > < / a > < span class = "lineno" > 382< / span > < span class = "keyword" > const< / span > < span class = "keywordtype" > int< / span > domain_size = domain_sizes[i];< / div >
< div class = "line" > < a id = "l00383" name = "l00383" > < / a > < span class = "lineno" > 383< / span > < span class = "keywordflow" > if< / span > (domain_size == 1) < span class = "keywordflow" > continue< / span > ;< / div >
< div class = "line" > < a id = "l00384" name = "l00384" > < / a > < span class = "lineno" > 384< / span > absl::flat_hash_map< const std::vector< int64_t> , std::vector< int> > < / div >
< div class = "line" > < a id = "l00385" name = "l00385" > < / a > < span class = "lineno" > 385< / span > masked_tuples_to_indices;< / div >
< div class = "line" > < a id = "l00386" name = "l00386" > < / a > < span class = "lineno" > 386< / span > < span class = "keywordflow" > for< / span > (< span class = "keywordtype" > int< / span > t = 0; t < tuples-> size(); ++t) {< / div >
< div class = "line" > < a id = "l00387" name = "l00387" > < / a > < span class = "lineno" > 387< / span > < span class = "keywordtype" > int< / span > out = 0;< / div >
< div class = "line" > < a id = "l00388" name = "l00388" > < / a > < span class = "lineno" > 388< / span > < span class = "keywordflow" > for< / span > (< span class = "keywordtype" > int< / span > j = 0; j < num_vars; ++j) {< / div >
< div class = "line" > < a id = "l00389" name = "l00389" > < / a > < span class = "lineno" > 389< / span > < span class = "keywordflow" > if< / span > (i == j) < span class = "keywordflow" > continue< / span > ;< / div >
< div class = "line" > < a id = "l00390" name = "l00390" > < / a > < span class = "lineno" > 390< / span > tuple_minus_var_i[out++] = (*tuples)[t][j];< / div >
< div class = "line" > < a id = "l00391" name = "l00391" > < / a > < span class = "lineno" > 391< / span > }< / div >
< div class = "line" > < a id = "l00392" name = "l00392" > < / a > < span class = "lineno" > 392< / span > masked_tuples_to_indices[tuple_minus_var_i].push_back(t);< / 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 > to_remove.clear();< / div >
< div class = "line" > < a id = "l00395" name = "l00395" > < / a > < span class = "lineno" > 395< / span > < span class = "keywordflow" > for< / span > (< span class = "keyword" > const< / span > < span class = "keyword" > auto< / span > & it : masked_tuples_to_indices) {< / div >
< div class = "line" > < a id = "l00396" name = "l00396" > < / a > < span class = "lineno" > 396< / span > < span class = "keywordflow" > if< / span > (it.second.size() != domain_size) < span class = "keywordflow" > continue< / span > ;< / div >
< div class = "line" > < a id = "l00397" name = "l00397" > < / a > < span class = "lineno" > 397< / span > (*tuples)[it.second.front()][i] = any_value;< / div >
< div class = "line" > < a id = "l00398" name = "l00398" > < / a > < span class = "lineno" > 398< / span > to_remove.insert(to_remove.end(), it.second.begin() + 1, it.second.end());< / div >
< div class = "line" > < a id = "l00399" name = "l00399" > < / a > < span class = "lineno" > 399< / span > }< / div >
< div class = "line" > < a id = "l00400" name = "l00400" > < / a > < span class = "lineno" > 400< / span > std::sort(to_remove.begin(), to_remove.end(), std::greater< int> ());< / div >
< div class = "line" > < a id = "l00401" name = "l00401" > < / a > < span class = "lineno" > 401< / span > < span class = "keywordflow" > for< / span > (< span class = "keyword" > const< / span > < span class = "keywordtype" > int< / span > t : to_remove) {< / div >
< div class = "line" > < a id = "l00402" name = "l00402" > < / a > < span class = "lineno" > 402< / span > (*tuples)[t] = tuples-> back();< / div >
< div class = "line" > < a id = "l00403" name = "l00403" > < / a > < span class = "lineno" > 403< / span > tuples-> pop_back();< / div >
< div class = "line" > < a id = "l00404" name = "l00404" > < / a > < span class = "lineno" > 404< / 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 > < / div >
< div class = "line" > < a id = "l00408" name = "l00408" > < / a > < span class = "lineno" > 408< / span > } < span class = "comment" > // namespace sat< / span > < / div >
< div class = "line" > < a id = "l00409" name = "l00409" > < / a > < span class = "lineno" > 409< / span > } < span class = "comment" > // namespace operations_research< / span > < / div >
2022-01-17 21:42:14 +01:00
< 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 >
2022-03-04 00:11:33 +01:00
< 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_a4395e95bab44e222cb2e77251017a0e2" > < div class = "ttname" > < a href = "base_2logging_8h.html#a4395e95bab44e222cb2e77251017a0e2" > DCHECK_LE< / a > < / div > < div class = "ttdeci" > #define DCHECK_LE(val1, val2)< / div > < div class = "ttdef" > < b > Definition:< / b > < a href = "base_2logging_8h_source.html#l00893" > base/logging.h:893< / 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#l00892" > base/logging.h:892< / a > < / div > < / div >
< div class = "ttc" id = "abase_2logging_8h_html_a7cc25402ecd7591b4c39934dd656b1f9" > < div class = "ttname" > < a href = "base_2logging_8h.html#a7cc25402ecd7591b4c39934dd656b1f9" > CHECK_GE< / a > < / div > < div class = "ttdeci" > #define CHECK_GE(val1, val2)< / div > < div class = "ttdef" > < b > Definition:< / b > < a href = "base_2logging_8h_source.html#l00707" > base/logging.h:707< / a > < / div > < / div >
< div class = "ttc" id = "abase_2logging_8h_html_a7e03ec13560fa94a8fea569960d7efc6" > < div class = "ttname" > < a href = "base_2logging_8h.html#a7e03ec13560fa94a8fea569960d7efc6" > CHECK_GT< / a > < / div > < div class = "ttdeci" > #define CHECK_GT(val1, val2)< / div > < div class = "ttdef" > < b > Definition:< / b > < a href = "base_2logging_8h_source.html#l00708" > base/logging.h:708< / a > < / div > < / div >
< div class = "ttc" id = "abase_2logging_8h_html_aae2dc65d9ea248d54bf39daa986dd295" > < div class = "ttname" > < a href = "base_2logging_8h.html#aae2dc65d9ea248d54bf39daa986dd295" > DCHECK_GE< / a > < / div > < div class = "ttdeci" > #define DCHECK_GE(val1, val2)< / div > < div class = "ttdef" > < b > Definition:< / b > < a href = "base_2logging_8h_source.html#l00895" > base/logging.h:895< / a > < / div > < / div >
< div class = "ttc" id = "abase_2logging_8h_html_ab25e01a2942b821d66371fc68d53f2eb" > < div class = "ttname" > < a href = "base_2logging_8h.html#ab25e01a2942b821d66371fc68d53f2eb" > CHECK_NE< / a > < / div > < div class = "ttdeci" > #define CHECK_NE(val1, val2)< / div > < div class = "ttdef" > < b > Definition:< / b > < a href = "base_2logging_8h_source.html#l00704" > base/logging.h:704< / a > < / div > < / div >
< div class = "ttc" id = "abase_2logging_8h_html_ab62f5ed8f2d48e29802be0cbbcd1359a" > < div class = "ttname" > < a href = "base_2logging_8h.html#ab62f5ed8f2d48e29802be0cbbcd1359a" > DCHECK_LT< / a > < / div > < div class = "ttdeci" > #define DCHECK_LT(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_ae4db23f10f5d4aad6d735f5a74cd6f8c" > < div class = "ttname" > < a href = "base_2logging_8h.html#ae4db23f10f5d4aad6d735f5a74cd6f8c" > CHECK_LE< / a > < / div > < div class = "ttdeci" > #define CHECK_LE(val1, val2)< / div > < div class = "ttdef" > < b > Definition:< / b > < a href = "base_2logging_8h_source.html#l00705" > base/logging.h:705< / a > < / div > < / div >
< div class = "ttc" id = "abase_2logging_8h_html_ae89df3243bbb8341130c7b3f44145ea0" > < div class = "ttname" > < a href = "base_2logging_8h.html#ae89df3243bbb8341130c7b3f44145ea0" > DCHECK_EQ< / a > < / div > < div class = "ttdeci" > #define DCHECK_EQ(val1, val2)< / div > < div class = "ttdef" > < b > Definition:< / b > < a href = "base_2logging_8h_source.html#l00891" > base/logging.h:891< / a > < / div > < / div >
< div class = "ttc" id = "aclassoperations__research_1_1_math_util_html_a0cfaf8b139304c54e3403d4ffbd60157" > < div class = "ttname" > < a href = "classoperations__research_1_1_math_util.html#a0cfaf8b139304c54e3403d4ffbd60157" > operations_research::MathUtil::CeilOfRatio< / a > < / div > < div class = "ttdeci" > static IntegralType CeilOfRatio(IntegralType numerator, IntegralType denominator)< / div > < div class = "ttdef" > < b > Definition:< / b > < a href = "mathutil_8h_source.html#l00039" > mathutil.h:39< / a > < / div > < / div >
< div class = "ttc" id = "aclassoperations__research_1_1_math_util_html_a9e5c13b72c36481ed098c05031d1f850" > < div class = "ttname" > < a href = "classoperations__research_1_1_math_util.html#a9e5c13b72c36481ed098c05031d1f850" > operations_research::MathUtil::FloorOfRatio< / a > < / div > < div class = "ttdeci" > static IntegralType FloorOfRatio(IntegralType numerator, IntegralType denominator)< / div > < div class = "ttdef" > < b > Definition:< / b > < a href = "mathutil_8h_source.html#l00053" > mathutil.h:53< / a > < / div > < / div >
< div class = "ttc" id = "aclassoperations__research_1_1sat_1_1_exponential_moving_average_html_a198870bbc0f9b8d197a4c80f766ddf49" > < div class = "ttname" > < a href = "classoperations__research_1_1sat_1_1_exponential_moving_average.html#a198870bbc0f9b8d197a4c80f766ddf49" > operations_research::sat::ExponentialMovingAverage::AddData< / a > < / div > < div class = "ttdeci" > void AddData(double new_record)< / div > < div class = "ttdef" > < b > Definition:< / b > < a href = "sat_2util_8cc_source.html#l00331" > sat/util.cc:331< / a > < / div > < / div >
< div class = "ttc" id = "aclassoperations__research_1_1sat_1_1_incremental_average_html_a198870bbc0f9b8d197a4c80f766ddf49" > < div class = "ttname" > < a href = "classoperations__research_1_1sat_1_1_incremental_average.html#a198870bbc0f9b8d197a4c80f766ddf49" > operations_research::sat::IncrementalAverage::AddData< / a > < / div > < div class = "ttdeci" > void AddData(double new_record)< / div > < div class = "ttdef" > < b > Definition:< / b > < a href = "sat_2util_8cc_source.html#l00326" > sat/util.cc:326< / a > < / div > < / div >
< div class = "ttc" id = "aclassoperations__research_1_1sat_1_1_incremental_average_html_adf01dcbe31fa99f0a8f9d91ba9f85b8b" > < div class = "ttname" > < a href = "classoperations__research_1_1sat_1_1_incremental_average.html#adf01dcbe31fa99f0a8f9d91ba9f85b8b" > operations_research::sat::IncrementalAverage::Reset< / a > < / div > < div class = "ttdeci" > void Reset(double reset_value)< / div > < div class = "ttdef" > < b > Definition:< / b > < a href = "sat_2util_8cc_source.html#l00321" > sat/util.cc:321< / a > < / div > < / div >
< div class = "ttc" id = "aclassoperations__research_1_1sat_1_1_literal_html" > < div class = "ttname" > < a href = "classoperations__research_1_1sat_1_1_literal.html" > operations_research::sat::Literal< / a > < / div > < div class = "ttdef" > < b > Definition:< / b > < a href = "sat__base_8h_source.html#l00067" > sat_base.h:67< / a > < / div > < / div >
< div class = "ttc" id = "aclassoperations__research_1_1sat_1_1_percentile_html_a006c3e4f212cee5414d510a9ded6eedb" > < div class = "ttname" > < a href = "classoperations__research_1_1sat_1_1_percentile.html#a006c3e4f212cee5414d510a9ded6eedb" > operations_research::sat::Percentile::GetPercentile< / a > < / div > < div class = "ttdeci" > double GetPercentile(double percent)< / div > < div class = "ttdef" > < b > Definition:< / b > < a href = "sat_2util_8cc_source.html#l00345" > sat/util.cc:345< / a > < / div > < / div >
< div class = "ttc" id = "aclassoperations__research_1_1sat_1_1_percentile_html_adfcf2b433605c03210cbd06e28ce9d97" > < div class = "ttname" > < a href = "classoperations__research_1_1sat_1_1_percentile.html#adfcf2b433605c03210cbd06e28ce9d97" > operations_research::sat::Percentile::AddRecord< / a > < / div > < div class = "ttdeci" > void AddRecord(double record)< / div > < div class = "ttdef" > < b > Definition:< / b > < a href = "sat_2util_8cc_source.html#l00338" > sat/util.cc:338< / a > < / div > < / div >
2022-01-17 21:42:14 +01:00
< 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 >
2022-03-04 00:11:33 +01:00
< div class = "ttc" id = "acp__model__fz__solver_8cc_html_a10a1eab179b472c030bdc2a2efef7219" > < div class = "ttname" > < a href = "cp__model__fz__solver_8cc.html#a10a1eab179b472c030bdc2a2efef7219" > parameters< / a > < / div > < div class = "ttdeci" > SatParameters parameters< / div > < div class = "ttdef" > < b > Definition:< / b > < a href = "cp__model__fz__solver_8cc_source.html#l00119" > cp_model_fz_solver.cc:119< / a > < / div > < / div >
< div class = "ttc" id = "ademon__profiler_8cc_html_ac072af30c4ffbc834bb4c681f6ecb514" > < div class = "ttname" > < a href = "demon__profiler_8cc.html#ac072af30c4ffbc834bb4c681f6ecb514" > value< / a > < / div > < div class = "ttdeci" > int64_t value< / div > < div class = "ttdef" > < b > Definition:< / b > < a href = "demon__profiler_8cc_source.html#l00044" > demon_profiler.cc:44< / a > < / div > < / div >
< div class = "ttc" id = "aintegral__types_8h_html" > < div class = "ttname" > < a href = "integral__types_8h.html" > integral_types.h< / a > < / div > < / div >
< div class = "ttc" id = "amap__util_8h_html" > < div class = "ttname" > < a href = "map__util_8h.html" > map_util.h< / a > < / div > < / div >
< div class = "ttc" id = "amathutil_8h_html" > < div class = "ttname" > < a href = "mathutil_8h.html" > mathutil.h< / a > < / div > < / div >
2022-01-17 21:42:14 +01:00
< div class = "ttc" id = "anamespacegtl_html_a288a1dc92da5d3ad62d4bc4cec9e8b1d" > < div class = "ttname" > < a href = "namespacegtl.html#a288a1dc92da5d3ad62d4bc4cec9e8b1d" > gtl::STLSortAndRemoveDuplicates< / a > < / div > < div class = "ttdeci" > void STLSortAndRemoveDuplicates(T *v, const LessFunc & less_func)< / div > < div class = "ttdef" > < b > Definition:< / b > < a href = "stl__util_8h_source.html#l00058" > stl_util.h:58< / a > < / div > < / div >
< div class = "ttc" id = "anamespacegtl_html_aae28e97bd1fa93cb0032642550da7455" > < div class = "ttname" > < a href = "namespacegtl.html#aae28e97bd1fa93cb0032642550da7455" > gtl::ContainsKey< / a > < / div > < div class = "ttdeci" > bool ContainsKey(const Collection & collection, const Key & key)< / div > < div class = "ttdef" > < b > Definition:< / b > < a href = "map__util_8h_source.html#l00200" > map_util.h:200< / a > < / div > < / div >
< div class = "ttc" id = "anamespaceoperations__research_1_1glop_html_ac89c7b45754e9a6bdabc08bea586fc4e" > < div class = "ttname" > < a href = "namespaceoperations__research_1_1glop.html#ac89c7b45754e9a6bdabc08bea586fc4e" > operations_research::glop::Index< / a > < / div > < div class = "ttdeci" > int32_t Index< / div > < div class = "ttdef" > < b > Definition:< / b > < a href = "lp__types_8h_source.html#l00038" > lp_types.h:38< / a > < / div > < / div >
2022-03-04 00:11:33 +01:00
< div class = "ttc" id = "anamespaceoperations__research_1_1sat_html_a0441e1a54fe203c0707131e587de8fae" > < div class = "ttname" > < a href = "namespaceoperations__research_1_1sat.html#a0441e1a54fe203c0707131e587de8fae" > operations_research::sat::RandomizeDecisionHeuristic< / a > < / div > < div class = "ttdeci" > void RandomizeDecisionHeuristic(absl::BitGenRef random, SatParameters *parameters)< / div > < div class = "ttdef" > < b > Definition:< / b > < a href = "sat_2util_8cc_source.html#l00059" > sat/util.cc:59< / a > < / div > < / div >
< div class = "ttc" id = "anamespaceoperations__research_1_1sat_html_a2269a7a6f3b17cbd10a8d8a3914d8b51" > < div class = "ttname" > < a href = "namespaceoperations__research_1_1sat.html#a2269a7a6f3b17cbd10a8d8a3914d8b51" > operations_research::sat::ClosestMultiple< / a > < / div > < div class = "ttdeci" > int64_t ClosestMultiple(int64_t value, int64_t base)< / div > < div class = "ttdef" > < b > Definition:< / b > < a href = "sat_2util_8cc_source.html#l00211" > sat/util.cc:211< / a > < / div > < / div >
< div class = "ttc" id = "anamespaceoperations__research_1_1sat_html_a3e5f39b52251ad02e571592493b4d39f" > < div class = "ttname" > < a href = "namespaceoperations__research_1_1sat.html#a3e5f39b52251ad02e571592493b4d39f" > operations_research::sat::CompressTuples< / a > < / div > < div class = "ttdeci" > void CompressTuples(absl::Span< const int64_t > domain_sizes, int64_t any_value, std::vector< std::vector< int64_t > > *tuples)< / div > < div class = "ttdef" > < b > Definition:< / b > < a href = "sat_2util_8cc_source.html#l00370" > sat/util.cc:370< / a > < / div > < / div >
< div class = "ttc" id = "anamespaceoperations__research_1_1sat_html_a629c989df2521428c30722f175874774" > < div class = "ttname" > < a href = "namespaceoperations__research_1_1sat.html#a629c989df2521428c30722f175874774" > operations_research::sat::PositiveMod< / a > < / div > < div class = "ttdeci" > int64_t PositiveMod(int64_t x, int64_t m)< / div > < div class = "ttdef" > < b > Definition:< / b > < a href = "sat_2util_8cc_source.html#l00120" > sat/util.cc:120< / a > < / div > < / div >
< div class = "ttc" id = "anamespaceoperations__research_1_1sat_html_a72e9fb9c1d4b0649782f8696e85cbbaa" > < div class = "ttname" > < a href = "namespaceoperations__research_1_1sat.html#a72e9fb9c1d4b0649782f8696e85cbbaa" > operations_research::sat::CeilSquareRoot< / a > < / div > < div class = "ttdeci" > int64_t CeilSquareRoot(int64_t a)< / div > < div class = "ttdef" > < b > Definition:< / b > < a href = "sat_2util_8cc_source.html#l00203" > sat/util.cc:203< / a > < / div > < / div >
< div class = "ttc" id = "anamespaceoperations__research_1_1sat_html_a852a51b53f6217d6bfd1aef455f53f8c" > < div class = "ttname" > < a href = "namespaceoperations__research_1_1sat.html#a852a51b53f6217d6bfd1aef455f53f8c" > operations_research::sat::SolveDiophantineEquationOfSizeTwo< / a > < / div > < div class = "ttdeci" > bool SolveDiophantineEquationOfSizeTwo(int64_t & a, int64_t & b, int64_t & cte, int64_t & x0, int64_t & y0)< / div > < div class = "ttdef" > < b > Definition:< / b > < a href = "sat_2util_8cc_source.html#l00147" > sat/util.cc:147< / a > < / div > < / div >
< div class = "ttc" id = "anamespaceoperations__research_1_1sat_html_aa7497b495a7fbfddaea40d45861680c5" > < div class = "ttname" > < a href = "namespaceoperations__research_1_1sat.html#aa7497b495a7fbfddaea40d45861680c5" > operations_research::sat::FloorSquareRoot< / a > < / div > < div class = "ttdeci" > int64_t FloorSquareRoot(int64_t a)< / div > < div class = "ttdef" > < b > Definition:< / b > < a href = "sat_2util_8cc_source.html#l00194" > sat/util.cc:194< / a > < / div > < / div >
< div class = "ttc" id = "anamespaceoperations__research_1_1sat_html_abbbb4c91f9a3d6eb290709745f5b661c" > < div class = "ttname" > < a href = "namespaceoperations__research_1_1sat.html#abbbb4c91f9a3d6eb290709745f5b661c" > operations_research::sat::ModularInverse< / a > < / div > < div class = "ttdeci" > int64_t ModularInverse(int64_t x, int64_t m)< / div > < div class = "ttdef" > < b > Definition:< / b > < a href = "sat_2util_8cc_source.html#l00087" > sat/util.cc:87< / a > < / div > < / div >
< div class = "ttc" id = "anamespaceoperations__research_1_1sat_html_ac015d81b88379719f680eadc2aad1508" > < div class = "ttname" > < a href = "namespaceoperations__research_1_1sat.html#ac015d81b88379719f680eadc2aad1508" > operations_research::sat::ProductWithModularInverse< / a > < / div > < div class = "ttdeci" > int64_t ProductWithModularInverse(int64_t coeff, int64_t mod, int64_t rhs)< / div > < div class = "ttdef" > < b > Definition:< / b > < a href = "sat_2util_8cc_source.html#l00125" > sat/util.cc:125< / a > < / div > < / div >
< div class = "ttc" id = "anamespaceoperations__research_1_1sat_html_ae1ffd76bca69ccb2e7b65dfe2cf76f2e" > < div class = "ttname" > < a href = "namespaceoperations__research_1_1sat.html#ae1ffd76bca69ccb2e7b65dfe2cf76f2e" > operations_research::sat::MoveOneUnprocessedLiteralLast< / a > < / div > < div class = "ttdeci" > int MoveOneUnprocessedLiteralLast(const absl::btree_set< LiteralIndex > & processed, int relevant_prefix_size, std::vector< Literal > *literals)< / div > < div class = "ttdef" > < b > Definition:< / b > < a href = "sat_2util_8cc_source.html#l00282" > sat/util.cc:282< / a > < / div > < / div >
< div class = "ttc" id = "anamespaceoperations__research_1_1sat_html_af20de3e143682d110b863c2e9435f050" > < div class = "ttname" > < a href = "namespaceoperations__research_1_1sat.html#af20de3e143682d110b863c2e9435f050" > operations_research::sat::LinearInequalityCanBeReducedWithClosestMultiple< / a > < / div > < div class = "ttdeci" > bool LinearInequalityCanBeReducedWithClosestMultiple(int64_t base, const std::vector< int64_t > & coeffs, const std::vector< int64_t > & lbs, const std::vector< int64_t > & ubs, int64_t rhs, int64_t *new_rhs)< / div > < div class = "ttdef" > < b > Definition:< / b > < a href = "sat_2util_8cc_source.html#l00218" > sat/util.cc:218< / a > < / div > < / div >
2022-01-17 21:42:14 +01:00
< div class = "ttc" id = "anamespaceoperations__research_html" > < div class = "ttname" > < a href = "namespaceoperations__research.html" > operations_research< / a > < / div > < div class = "ttdoc" > Collection of objects used to extend the Constraint Solver library.< / div > < div class = "ttdef" > < b > Definition:< / b > < a href = "dense__doubly__linked__list_8h_source.html#l00021" > dense_doubly_linked_list.h:21< / a > < / div > < / div >
< div class = "ttc" id = "anamespaceoperations__research_html_aa64bf49d041052c7cb3f40f7496d7534" > < div class = "ttname" > < a href = "namespaceoperations__research.html#aa64bf49d041052c7cb3f40f7496d7534" > operations_research::CapProd< / a > < / div > < div class = "ttdeci" > int64_t CapProd(int64_t x, int64_t y)< / div > < div class = "ttdef" > < b > Definition:< / b > < a href = "saturated__arithmetic_8h_source.html#l00235" > saturated_arithmetic.h:235< / a > < / div > < / div >
< div class = "ttc" id = "asat_2util_8h_html" > < div class = "ttname" > < a href = "sat_2util_8h.html" > util.h< / a > < / div > < / div >
2022-03-04 00:11:33 +01:00
< div class = "ttc" id = "asat__base_8h_html" > < div class = "ttname" > < a href = "sat__base_8h.html" > sat_base.h< / a > < / div > < / div >
2022-01-17 21:42:14 +01:00
< div class = "ttc" id = "asaturated__arithmetic_8h_html" > < div class = "ttname" > < a href = "saturated__arithmetic_8h.html" > saturated_arithmetic.h< / a > < / div > < / div >
< div class = "ttc" id = "astl__util_8h_html" > < div class = "ttname" > < a href = "stl__util_8h.html" > stl_util.h< / a > < / div > < / div >
2022-03-04 00:11:33 +01:00
< div class = "ttc" id = "astrong__integers_8h_html" > < div class = "ttname" > < a href = "strong__integers_8h.html" > strong_integers.h< / a > < / div > < / div >
< div class = "ttc" id = "avariable__and__expressions_8cc_html_a2091cd7d80fdd31762020bce86138587" > < div class = "ttname" > < a href = "variable__and__expressions_8cc.html#a2091cd7d80fdd31762020bce86138587" > coeff< / a > < / div > < div class = "ttdeci" > const double coeff< / div > < div class = "ttdef" > < b > Definition:< / b > < a href = "variable__and__expressions_8cc_source.html#l00105" > variable_and_expressions.cc:105< / a > < / div > < / div >
2021-01-26 11:28:50 +01:00
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