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< a href = "lp__print__utils_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 = "lp__print__utils_8h.html" > ortools/lp_data/lp_print_utils.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 < cmath> < / span > < / div >
< div class = "line" > < a id = "l00017" name = "l00017" > < / a > < span class = "lineno" > 17< / span > < span class = "preprocessor" > #include < cstdint> < / span > < / div >
< div class = "line" > < a id = "l00018" name = "l00018" > < / a > < span class = "lineno" > 18< / span > < span class = "preprocessor" > #include < cstdio> < / span > < / div >
< div class = "line" > < a id = "l00019" name = "l00019" > < / a > < span class = "lineno" > 19< / span > < span class = "preprocessor" > #include < limits> < / span > < / div >
< div class = "line" > < a id = "l00020" name = "l00020" > < / a > < span class = "lineno" > 20< / span > < / div >
< div class = "line" > < a id = "l00021" name = "l00021" > < / a > < span class = "lineno" > 21< / span > < span class = "preprocessor" > #include " absl/strings/str_cat.h" < / span > < / div >
< div class = "line" > < a id = "l00022" name = "l00022" > < / a > < span class = "lineno" > 22< / span > < span class = "preprocessor" > #include " < a class = "code" href = "integral__types_8h.html" > ortools/base/integral_types.h< / a > " < / span > < / div >
< div class = "line" > < a id = "l00023" name = "l00023" > < / a > < span class = "lineno" > 23< / span > < span class = "preprocessor" > #include " < a class = "code" href = "base_2logging_8h.html" > ortools/base/logging.h< / a > " < / span > < / div >
< div class = "line" > < a id = "l00024" name = "l00024" > < / a > < span class = "lineno" > 24< / span > < span class = "preprocessor" > #include " < a class = "code" href = "lp__types_8h.html" > ortools/lp_data/lp_types.h< / a > " < / span > < / div >
< div class = "line" > < a id = "l00025" name = "l00025" > < / a > < span class = "lineno" > 25< / span > < span class = "preprocessor" > #include " < a class = "code" href = "rational__approximation_8h.html" > ortools/util/rational_approximation.h< / a > " < / span > < / div >
< div class = "line" > < a id = "l00026" name = "l00026" > < / a > < span class = "lineno" > 26< / span > < / div >
< div class = "line" > < a id = "l00027" name = "l00027" > < / a > < span class = "lineno" > 27< / span > < span class = "keyword" > namespace < / span > < a class = "code hl_namespace" href = "namespaceoperations__research.html" > operations_research< / a > {< / div >
< div class = "line" > < a id = "l00028" name = "l00028" > < / a > < span class = "lineno" > 28< / span > < span class = "keyword" > namespace < / span > glop {< / div >
< div class = "line" > < a id = "l00029" name = "l00029" > < / a > < span class = "lineno" > 29< / span > < / div >
< div class = "line" > < a id = "l00030" name = "l00030" > < / a > < span class = "lineno" > 30< / span > < span class = "comment" > // Returns a string " num/den" representing the rational approximation of x.< / span > < / div >
< div class = "line" > < a id = "l00031" name = "l00031" > < / a > < span class = "lineno" > 31< / span > < span class = "comment" > // The absolute difference between the output fraction and the input " x" will< / span > < / div >
< div class = "line" > < a id = "l00032" name = "l00032" > < / a > < span class = "lineno" > 32< / span > < span class = "comment" > // not exceed " precision" .< / span > < / div >
< div class = "line" > < a id = "l00033" name = "l00033" > < / a > < span class = "lineno" > < a class = "line" href = "namespaceoperations__research_1_1glop.html#a678748f91bc4a57c372e1d3a57763e15" > 33< / a > < / span > std::string < a class = "code hl_function" href = "namespaceoperations__research_1_1glop.html#a678748f91bc4a57c372e1d3a57763e15" > StringifyRational< / a > (< span class = "keyword" > const< / span > < span class = "keywordtype" > double< / span > x, < span class = "keyword" > const< / span > < span class = "keywordtype" > double< / span > precision) {< / div >
< div class = "line" > < a id = "l00034" name = "l00034" > < / a > < span class = "lineno" > 34< / span > < span class = "keywordflow" > if< / span > (x == < a class = "code hl_variable" href = "namespaceoperations__research_1_1glop.html#af9a790b7e8c5b0c6d55b336177378e78" > kInfinity< / a > ) {< / div >
< div class = "line" > < a id = "l00035" name = "l00035" > < / a > < span class = "lineno" > 35< / span > < span class = "keywordflow" > return< / span > < span class = "stringliteral" > " inf" < / span > ;< / div >
< div class = "line" > < a id = "l00036" name = "l00036" > < / a > < span class = "lineno" > 36< / span > } < span class = "keywordflow" > else< / span > < span class = "keywordflow" > if< / span > (x == -< a class = "code hl_variable" href = "namespaceoperations__research_1_1glop.html#af9a790b7e8c5b0c6d55b336177378e78" > kInfinity< / a > ) {< / div >
< div class = "line" > < a id = "l00037" name = "l00037" > < / a > < span class = "lineno" > 37< / span > < span class = "keywordflow" > return< / span > < span class = "stringliteral" > " -inf" < / span > ;< / div >
< div class = "line" > < a id = "l00038" name = "l00038" > < / a > < span class = "lineno" > 38< / span > }< / div >
< div class = "line" > < a id = "l00039" name = "l00039" > < / a > < span class = "lineno" > 39< / span > < a class = "code hl_typedef" href = "namespaceoperations__research.html#aedcf71e1bf956d77554271728d32f9a2" > Fraction< / a > fraction = < a class = "code hl_function" href = "namespaceoperations__research.html#a670125c5edf58c4523486795335cb9ae" > RationalApproximation< / a > (x, precision);< / div >
< div class = "line" > < a id = "l00040" name = "l00040" > < / a > < span class = "lineno" > 40< / span > < span class = "keyword" > const< / span > int64_t numerator = fraction.first;< / div >
< div class = "line" > < a id = "l00041" name = "l00041" > < / a > < span class = "lineno" > 41< / span > < span class = "keyword" > const< / span > int64_t denominator = fraction.second;< / div >
< div class = "line" > < a id = "l00042" name = "l00042" > < / a > < span class = "lineno" > 42< / span > < span class = "keywordflow" > return< / span > denominator == 1 ? absl::StrCat(numerator)< / div >
< div class = "line" > < a id = "l00043" name = "l00043" > < / a > < span class = "lineno" > 43< / span > : absl::StrCat(numerator, < span class = "stringliteral" > " /" < / span > , denominator);< / 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 > < / div >
< div class = "line" > < a id = "l00046" name = "l00046" > < / a > < span class = "lineno" > < a class = "line" href = "namespaceoperations__research_1_1glop.html#a36e54e6744a2e1a24f3844f6b5b56044" > 46< / a > < / span > std::string < a class = "code hl_function" href = "namespaceoperations__research_1_1glop.html#a36e54e6744a2e1a24f3844f6b5b56044" > Stringify< / a > (< span class = "keyword" > const< / span > < a class = "code hl_typedef" href = "namespaceoperations__research_1_1glop.html#a733947145e3e1631165b618b05c9ccb7" > Fractional< / a > x, < span class = "keywordtype" > bool< / span > fraction) {< / div >
< div class = "line" > < a id = "l00047" name = "l00047" > < / a > < span class = "lineno" > 47< / span > < span class = "keywordflow" > return< / span > fraction ? < a class = "code hl_function" href = "namespaceoperations__research_1_1glop.html#a678748f91bc4a57c372e1d3a57763e15" > StringifyRational< / a > (< a class = "code hl_function" href = "namespaceoperations__research_1_1glop.html#afd6d278f9d061a91716c6770f2d723e8" > ToDouble< / a > (x),< / div >
< div class = "line" > < a id = "l00048" name = "l00048" > < / a > < span class = "lineno" > 48< / span > std::numeric_limits< double> ::epsilon())< / div >
< div class = "line" > < a id = "l00049" name = "l00049" > < / a > < span class = "lineno" > 49< / span > : < a class = "code hl_function" href = "namespaceoperations__research_1_1glop.html#a36e54e6744a2e1a24f3844f6b5b56044" > Stringify< / a > (x);< / div >
< div class = "line" > < a id = "l00050" name = "l00050" > < / a > < span class = "lineno" > 50< / span > }< / div >
< div class = "line" > < a id = "l00051" name = "l00051" > < / a > < span class = "lineno" > 51< / span > < / div >
< div class = "line" > < a id = "l00052" name = "l00052" > < / a > < span class = "lineno" > 52< / span > < span class = "comment" > // Returns a string that pretty-prints a monomial ax with coefficient< / span > < / div >
< div class = "line" > < a id = "l00053" name = "l00053" > < / a > < span class = "lineno" > 53< / span > < span class = "comment" > // a and variable name x< / span > < / div >
< div class = "line" > < a id = "l00054" name = "l00054" > < / a > < span class = "lineno" > < a class = "line" href = "namespaceoperations__research_1_1glop.html#a093fe5e10e710a17a68c2472f0a69f5e" > 54< / a > < / span > std::string < a class = "code hl_function" href = "namespaceoperations__research_1_1glop.html#a093fe5e10e710a17a68c2472f0a69f5e" > StringifyMonomial< / a > (< span class = "keyword" > const< / span > < a class = "code hl_typedef" href = "namespaceoperations__research_1_1glop.html#a733947145e3e1631165b618b05c9ccb7" > Fractional< / a > < a class = "code hl_variable" href = "constraint__solver_2table_8cc.html#acb18315d548212835cd8ed4287e6c0b6" > a< / a > , < span class = "keyword" > const< / span > std::string& x,< / div >
< div class = "line" > < a id = "l00055" name = "l00055" > < / a > < span class = "lineno" > 55< / span > < span class = "keywordtype" > bool< / span > fraction) {< / div >
< div class = "line" > < a id = "l00056" name = "l00056" > < / a > < span class = "lineno" > 56< / span > < span class = "keywordflow" > if< / span > (< a class = "code hl_variable" href = "constraint__solver_2table_8cc.html#acb18315d548212835cd8ed4287e6c0b6" > a< / a > == 0.0) < span class = "keywordflow" > return< / span > < span class = "stringliteral" > " " < / span > ;< / div >
< div class = "line" > < a id = "l00057" name = "l00057" > < / a > < span class = "lineno" > 57< / span > < span class = "keywordflow" > return< / span > < a class = "code hl_variable" href = "constraint__solver_2table_8cc.html#acb18315d548212835cd8ed4287e6c0b6" > a< / a > > 0.0< / div >
< div class = "line" > < a id = "l00058" name = "l00058" > < / a > < span class = "lineno" > 58< / span > ? absl::StrCat(< / div >
< div class = "line" > < a id = "l00059" name = "l00059" > < / a > < span class = "lineno" > 59< / span > < span class = "stringliteral" > " + " < / span > ,< / div >
< div class = "line" > < a id = "l00060" name = "l00060" > < / a > < span class = "lineno" > 60< / span > < a class = "code hl_variable" href = "constraint__solver_2table_8cc.html#acb18315d548212835cd8ed4287e6c0b6" > a< / a > == 1.0 ? x : absl::StrCat(< a class = "code hl_function" href = "namespaceoperations__research_1_1glop.html#a36e54e6744a2e1a24f3844f6b5b56044" > Stringify< / a > (< a class = "code hl_variable" href = "constraint__solver_2table_8cc.html#acb18315d548212835cd8ed4287e6c0b6" > a< / a > , fraction), < span class = "stringliteral" > " " < / span > , x))< / div >
< div class = "line" > < a id = "l00061" name = "l00061" > < / a > < span class = "lineno" > 61< / span > : absl::StrCat(< / div >
< div class = "line" > < a id = "l00062" name = "l00062" > < / a > < span class = "lineno" > 62< / span > < span class = "stringliteral" > " - " < / span > , < a class = "code hl_variable" href = "constraint__solver_2table_8cc.html#acb18315d548212835cd8ed4287e6c0b6" > a< / a > == -1.0< / div >
< div class = "line" > < a id = "l00063" name = "l00063" > < / a > < span class = "lineno" > 63< / span > ? x< / div >
< div class = "line" > < a id = "l00064" name = "l00064" > < / a > < span class = "lineno" > 64< / span > : absl::StrCat(< a class = "code hl_function" href = "namespaceoperations__research_1_1glop.html#a36e54e6744a2e1a24f3844f6b5b56044" > Stringify< / a > (-< a class = "code hl_variable" href = "constraint__solver_2table_8cc.html#acb18315d548212835cd8ed4287e6c0b6" > a< / a > , fraction), < span class = "stringliteral" > " " < / span > , x));< / div >
< div class = "line" > < a id = "l00065" name = "l00065" > < / a > < span class = "lineno" > 65< / span > }< / div >
< div class = "line" > < a id = "l00066" name = "l00066" > < / a > < span class = "lineno" > 66< / span > < / div >
< div class = "line" > < a id = "l00067" name = "l00067" > < / a > < span class = "lineno" > 67< / span > } < span class = "comment" > // namespace glop< / span > < / div >
< div class = "line" > < a id = "l00068" name = "l00068" > < / a > < span class = "lineno" > 68< / span > } < span class = "comment" > // namespace operations_research< / span > < / div >
< div class = "ttc" id = "abase_2logging_8h_html" > < div class = "ttname" > < a href = "base_2logging_8h.html" > logging.h< / a > < / div > < / div >
< div class = "ttc" id = "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 >
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< div class = "ttc" id = "anamespaceoperations__research_1_1glop_html_a733947145e3e1631165b618b05c9ccb7" > < div class = "ttname" > < a href = "namespaceoperations__research_1_1glop.html#a733947145e3e1631165b618b05c9ccb7" > operations_research::glop::Fractional< / a > < / div > < div class = "ttdeci" > double Fractional< / div > < div class = "ttdef" > < b > Definition:< / b > < a href = "lp__types_8h_source.html#l00078" > lp_types.h:78< / a > < / div > < / div >
< div class = "ttc" id = "anamespaceoperations__research_1_1glop_html_af9a790b7e8c5b0c6d55b336177378e78" > < div class = "ttname" > < a href = "namespaceoperations__research_1_1glop.html#af9a790b7e8c5b0c6d55b336177378e78" > operations_research::glop::kInfinity< / a > < / div > < div class = "ttdeci" > const double kInfinity< / div > < div class = "ttdef" > < b > Definition:< / b > < a href = "lp__types_8h_source.html#l00084" > lp_types.h:84< / a > < / div > < / div >
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< div class = "ttc" id = "anamespaceoperations__research_html_a670125c5edf58c4523486795335cb9ae" > < div class = "ttname" > < a href = "namespaceoperations__research.html#a670125c5edf58c4523486795335cb9ae" > operations_research::RationalApproximation< / a > < / div > < div class = "ttdeci" > Fraction RationalApproximation(const double x, const double precision)< / div > < div class = "ttdef" > < b > Definition:< / b > < a href = "rational__approximation_8cc_source.html#l00026" > rational_approximation.cc:26< / a > < / div > < / div >
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