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https://github.com/google/benchmark.git
synced 2025-01-27 20:30:15 +08:00
refactor MinimalLEastSq
This commit is contained in:
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5e52d2d6c0
commit
ac05c04533
@ -127,14 +127,14 @@ static void BM_StringCompare(benchmark::State& state) {
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benchmark::DoNotOptimize(s1.compare(s2));
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benchmark::DoNotOptimize(s1.compare(s2));
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}
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}
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BENCHMARK(BM_StringCompare)
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BENCHMARK(BM_StringCompare)
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->RangeMultiplier(2)->Range(1<<10, 1<<18)->Complexity(benchmark::O_N);
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->RangeMultiplier(2)->Range(1<<10, 1<<18)->Complexity(benchmark::oN);
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```
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```
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As shown in the following invocation, asymptotic complexity might also be calculated automatically.
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As shown in the following invocation, asymptotic complexity might also be calculated automatically.
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```c++
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```c++
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BENCHMARK(BM_StringCompare)
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BENCHMARK(BM_StringCompare)
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->RangeMultiplier(2)->Range(1<<10, 1<<18)->Complexity(benchmark::O_Auto);
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->RangeMultiplier(2)->Range(1<<10, 1<<18)->Complexity(benchmark::oAuto);
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```
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```
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### Templated benchmarks
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### Templated benchmarks
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@ -232,17 +232,17 @@ enum TimeUnit {
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};
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};
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// BigO is passed to a benchmark in order to specify the asymptotic computational
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// BigO is passed to a benchmark in order to specify the asymptotic computational
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// complexity for the benchmark. In case O_Auto is selected, complexity will be
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// complexity for the benchmark. In case oAuto is selected, complexity will be
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// calculated automatically to the best fit.
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// calculated automatically to the best fit.
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enum BigO {
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enum BigO {
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O_None,
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oNone,
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O_1,
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o1,
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O_N,
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oN,
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O_N_Squared,
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oNSquared,
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O_N_Cubed,
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oNCubed,
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O_log_N,
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oLogN,
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O_N_log_N,
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oNLogN,
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O_Auto
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oAuto
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};
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};
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// State is passed to a running Benchmark and contains state for the
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// State is passed to a running Benchmark and contains state for the
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@ -49,7 +49,7 @@ class BenchmarkReporter {
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bytes_per_second(0),
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bytes_per_second(0),
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items_per_second(0),
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items_per_second(0),
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max_heapbytes_used(0),
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max_heapbytes_used(0),
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complexity(O_None),
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complexity(oNone),
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arg1(0),
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arg1(0),
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arg2(0),
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arg2(0),
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report_big_o(false),
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report_big_o(false),
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@ -454,7 +454,7 @@ BenchmarkImp::BenchmarkImp(const char* name)
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: name_(name), arg_count_(-1), time_unit_(kNanosecond),
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: name_(name), arg_count_(-1), time_unit_(kNanosecond),
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range_multiplier_(kRangeMultiplier), min_time_(0.0),
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range_multiplier_(kRangeMultiplier), min_time_(0.0),
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use_real_time_(false), use_manual_time_(false),
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use_real_time_(false), use_manual_time_(false),
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complexity_(O_None) {
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complexity_(oNone) {
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}
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}
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BenchmarkImp::~BenchmarkImp() {
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BenchmarkImp::~BenchmarkImp() {
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@ -803,7 +803,7 @@ void RunBenchmark(const benchmark::internal::Benchmark::Instance& b,
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report.complexity = b.complexity;
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report.complexity = b.complexity;
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reports.push_back(report);
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reports.push_back(report);
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if(report.complexity != O_None)
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if(report.complexity != oNone)
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complexity_reports.push_back(report);
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complexity_reports.push_back(report);
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break;
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break;
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@ -830,7 +830,7 @@ void RunBenchmark(const benchmark::internal::Benchmark::Instance& b,
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}
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}
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br->ReportRuns(reports);
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br->ReportRuns(reports);
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if((b.complexity != O_None) && b.last_benchmark_instance) {
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if((b.complexity != oNone) && b.last_benchmark_instance) {
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br->ReportComplexity(complexity_reports);
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br->ReportComplexity(complexity_reports);
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complexity_reports.clear();
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complexity_reports.clear();
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}
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}
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@ -72,12 +72,12 @@ void CSVReporter::ReportComplexity(const std::vector<Run> & complexity_reports)
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return;
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return;
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}
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}
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Run bigO_data;
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Run big_o_data;
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Run rms_data;
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Run rms_data;
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BenchmarkReporter::ComputeBigO(complexity_reports, &bigO_data, &rms_data);
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BenchmarkReporter::ComputeBigO(complexity_reports, &big_o_data, &rms_data);
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// Output using PrintRun.
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// Output using PrintRun.
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PrintRunData(bigO_data);
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PrintRunData(big_o_data);
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PrintRunData(rms_data);
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PrintRunData(rms_data);
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}
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}
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@ -127,13 +127,13 @@ void JSONReporter::ReportComplexity(const std::vector<Run> & complexity_reports)
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out << ",\n";
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out << ",\n";
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}
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}
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Run bigO_data;
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Run big_o_data;
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Run rms_data;
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Run rms_data;
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BenchmarkReporter::ComputeBigO(complexity_reports, &bigO_data, &rms_data);
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BenchmarkReporter::ComputeBigO(complexity_reports, &big_o_data, &rms_data);
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// Output using PrintRun.
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// Output using PrintRun.
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out << indent << "{\n";
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out << indent << "{\n";
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PrintRunData(bigO_data);
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PrintRunData(big_o_data);
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out << indent << "},\n";
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out << indent << "},\n";
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out << indent << "{\n";
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out << indent << "{\n";
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PrintRunData(rms_data);
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PrintRunData(rms_data);
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@ -16,95 +16,94 @@
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// Adapted to be used with google benchmark
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// Adapted to be used with google benchmark
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#include "minimal_leastsq.h"
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#include "minimal_leastsq.h"
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#include "check.h"
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#include <math.h>
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#include <math.h>
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// Internal function to calculate the different scalability forms
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// Internal function to calculate the different scalability forms
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double fittingCurve(double n, benchmark::BigO complexity) {
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double FittingCurve(double n, benchmark::BigO complexity) {
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switch (complexity) {
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switch (complexity) {
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case benchmark::O_N:
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case benchmark::oN:
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return n;
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return n;
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case benchmark::O_N_Squared:
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case benchmark::oNSquared:
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return pow(n, 2);
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return pow(n, 2);
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case benchmark::O_N_Cubed:
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case benchmark::oNCubed:
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return pow(n, 3);
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return pow(n, 3);
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case benchmark::O_log_N:
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case benchmark::oLogN:
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return log2(n);
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return log2(n);
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case benchmark::O_N_log_N:
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case benchmark::oNLogN:
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return n * log2(n);
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return n * log2(n);
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case benchmark::O_1:
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case benchmark::o1:
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default:
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default:
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return 1;
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return 1;
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}
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}
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}
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}
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// Internal function to find the coefficient for the high-order term in the running time, by minimizing the sum of squares of relative error.
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// Internal function to find the coefficient for the high-order term in the running time, by minimizing the sum of squares of relative error.
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// - N : Vector containing the size of the benchmark tests.
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// - n : Vector containing the size of the benchmark tests.
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// - Time : Vector containing the times for the benchmark tests.
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// - time : Vector containing the times for the benchmark tests.
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// - Complexity : Fitting curve.
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// - complexity : Fitting curve.
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// For a deeper explanation on the algorithm logic, look the README file at http://github.com/ismaelJimenez/Minimal-Cpp-Least-Squared-Fit
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// For a deeper explanation on the algorithm logic, look the README file at http://github.com/ismaelJimenez/Minimal-Cpp-Least-Squared-Fit
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LeastSq leastSq(const std::vector<int>& N, const std::vector<double>& Time, const benchmark::BigO Complexity) {
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LeastSq CalculateLeastSq(const std::vector<int>& n, const std::vector<double>& time, const benchmark::BigO complexity) {
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assert(N.size() == Time.size() && N.size() >= 2);
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CHECK_NE(complexity, benchmark::oAuto);
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assert(Complexity != benchmark::O_None &&
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Complexity != benchmark::O_Auto);
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double sigmaGN = 0;
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double sigma_gn = 0;
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double sigmaGNSquared = 0;
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double sigma_gn_squared = 0;
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double sigmaTime = 0;
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double sigma_time = 0;
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double sigmaTimeGN = 0;
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double sigma_time_gn = 0;
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// Calculate least square fitting parameter
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// Calculate least square fitting parameter
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for (size_t i = 0; i < N.size(); ++i) {
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for (size_t i = 0; i < n.size(); ++i) {
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double GNi = fittingCurve(N[i], Complexity);
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double gn_i = FittingCurve(n[i], complexity);
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sigmaGN += GNi;
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sigma_gn += gn_i;
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sigmaGNSquared += GNi * GNi;
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sigma_gn_squared += gn_i * gn_i;
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sigmaTime += Time[i];
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sigma_time += time[i];
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sigmaTimeGN += Time[i] * GNi;
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sigma_time_gn += time[i] * gn_i;
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}
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}
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LeastSq result;
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LeastSq result;
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result.complexity = Complexity;
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result.complexity = complexity;
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// Calculate complexity.
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// Calculate complexity.
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// O_1 is treated as an special case
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// o1 is treated as an special case
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if (Complexity != benchmark::O_1)
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if (complexity != benchmark::o1)
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result.coef = sigmaTimeGN / sigmaGNSquared;
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result.coef = sigma_time_gn / sigma_gn_squared;
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else
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else
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result.coef = sigmaTime / N.size();
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result.coef = sigma_time / n.size();
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// Calculate RMS
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// Calculate RMS
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double rms = 0;
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double rms = 0;
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for (size_t i = 0; i < N.size(); ++i) {
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for (size_t i = 0; i < n.size(); ++i) {
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double fit = result.coef * fittingCurve(N[i], Complexity);
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double fit = result.coef * FittingCurve(n[i], complexity);
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rms += pow((Time[i] - fit), 2);
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rms += pow((time[i] - fit), 2);
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}
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}
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double mean = sigmaTime / N.size();
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double mean = sigma_time / n.size();
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result.rms = sqrt(rms / N.size()) / mean; // Normalized RMS by the mean of the observed values
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result.rms = sqrt(rms / n.size()) / mean; // Normalized RMS by the mean of the observed values
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return result;
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return result;
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}
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}
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// Find the coefficient for the high-order term in the running time, by minimizing the sum of squares of relative error.
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// Find the coefficient for the high-order term in the running time, by minimizing the sum of squares of relative error.
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// - N : Vector containing the size of the benchmark tests.
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// - n : Vector containing the size of the benchmark tests.
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// - Time : Vector containing the times for the benchmark tests.
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// - time : Vector containing the times for the benchmark tests.
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// - Complexity : If different than O_Auto, the fitting curve will stick to this one. If it is O_Auto, it will be calculated
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// - complexity : If different than oAuto, the fitting curve will stick to this one. If it is oAuto, it will be calculated
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// the best fitting curve.
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// the best fitting curve.
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LeastSq minimalLeastSq(const std::vector<int>& N, const std::vector<double>& Time, const benchmark::BigO Complexity) {
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LeastSq MinimalLeastSq(const std::vector<int>& n, const std::vector<double>& time, const benchmark::BigO complexity) {
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assert(N.size() == Time.size() && N.size() >= 2); // Do not compute fitting curve is less than two benchmark runs are given
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CHECK_EQ(n.size(), time.size());
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assert(Complexity != benchmark::O_None); // Check that complexity is a valid parameter.
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CHECK_GE(n.size(), 2); // Do not compute fitting curve is less than two benchmark runs are given
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CHECK_NE(complexity, benchmark::oNone);
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if(Complexity == benchmark::O_Auto) {
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if(complexity == benchmark::oAuto) {
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std::vector<benchmark::BigO> fitCurves = { benchmark::O_log_N, benchmark::O_N, benchmark::O_N_log_N, benchmark::O_N_Squared, benchmark::O_N_Cubed };
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std::vector<benchmark::BigO> fit_curves = { benchmark::oLogN, benchmark::oN, benchmark::oNLogN, benchmark::oNSquared, benchmark::oNCubed };
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LeastSq best_fit = leastSq(N, Time, benchmark::O_1); // Take O_1 as default best fitting curve
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LeastSq best_fit = CalculateLeastSq(n, time, benchmark::o1); // Take o1 as default best fitting curve
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// Compute all possible fitting curves and stick to the best one
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// Compute all possible fitting curves and stick to the best one
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for (const auto& fit : fitCurves) {
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for (const auto& fit : fit_curves) {
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LeastSq current_fit = leastSq(N, Time, fit);
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LeastSq current_fit = CalculateLeastSq(n, time, fit);
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if (current_fit.rms < best_fit.rms)
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if (current_fit.rms < best_fit.rms)
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best_fit = current_fit;
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best_fit = current_fit;
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}
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}
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@ -112,5 +111,5 @@ LeastSq minimalLeastSq(const std::vector<int>& N, const std::vector<double>& Tim
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return best_fit;
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return best_fit;
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}
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}
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else
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else
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return leastSq(N, Time, Complexity);
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return CalculateLeastSq(n, time, complexity);
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}
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}
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@ -22,18 +22,18 @@
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#include <vector>
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#include <vector>
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// This data structure will contain the result returned by minimalLeastSq
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// This data structure will contain the result returned by MinimalLeastSq
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// - coef : Estimated coeficient for the high-order term as interpolated from data.
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// - coef : Estimated coeficient for the high-order term as interpolated from data.
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// - rms : Normalized Root Mean Squared Error.
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// - rms : Normalized Root Mean Squared Error.
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// - complexity : Scalability form (e.g. O_N, O_N_log_N). In case a scalability form has been provided to minimalLeastSq
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// - complexity : Scalability form (e.g. oN, oNLogN). In case a scalability form has been provided to MinimalLeastSq
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// this will return the same value. In case BigO::O_Auto has been selected, this parameter will return the
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// this will return the same value. In case BigO::oAuto has been selected, this parameter will return the
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// best fitting curve detected.
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// best fitting curve detected.
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struct LeastSq {
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struct LeastSq {
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LeastSq() :
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LeastSq() :
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coef(0),
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coef(0),
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rms(0),
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rms(0),
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complexity(benchmark::O_None) {}
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complexity(benchmark::oNone) {}
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double coef;
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double coef;
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double rms;
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double rms;
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@ -41,6 +41,6 @@ struct LeastSq {
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};
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};
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// Find the coefficient for the high-order term in the running time, by minimizing the sum of squares of relative error.
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// Find the coefficient for the high-order term in the running time, by minimizing the sum of squares of relative error.
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LeastSq minimalLeastSq(const std::vector<int>& N, const std::vector<double>& Time, const benchmark::BigO Complexity = benchmark::O_Auto);
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LeastSq MinimalLeastSq(const std::vector<int>& N, const std::vector<double>& Time, const benchmark::BigO Complexity = benchmark::oAuto);
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#endif
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#endif
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@ -95,13 +95,13 @@ void BenchmarkReporter::ComputeBigO(
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CpuTime.push_back(run.cpu_accumulated_time/run.iterations);
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CpuTime.push_back(run.cpu_accumulated_time/run.iterations);
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}
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}
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LeastSq resultCpu = minimalLeastSq(N, CpuTime, reports[0].complexity);
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LeastSq resultCpu = MinimalLeastSq(N, CpuTime, reports[0].complexity);
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// resultCpu.complexity is passed as parameter to resultReal because in case
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// resultCpu.complexity is passed as parameter to resultReal because in case
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// reports[0].complexity is O_Auto, the noise on the measured data could make
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// reports[0].complexity is oAuto, the noise on the measured data could make
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// the best fit function of Cpu and Real differ. In order to solve this, we take
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// the best fit function of Cpu and Real differ. In order to solve this, we take
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// the best fitting function for the Cpu, and apply it to Real data.
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// the best fitting function for the Cpu, and apply it to Real data.
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LeastSq resultReal = minimalLeastSq(N, RealTime, resultCpu.complexity);
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LeastSq resultReal = MinimalLeastSq(N, RealTime, resultCpu.complexity);
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std::string benchmark_name = reports[0].benchmark_name.substr(0, reports[0].benchmark_name.find('/'));
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std::string benchmark_name = reports[0].benchmark_name.substr(0, reports[0].benchmark_name.find('/'));
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@ -130,17 +130,17 @@ void BenchmarkReporter::ComputeBigO(
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std::string BenchmarkReporter::GetBigO(BigO complexity) {
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std::string BenchmarkReporter::GetBigO(BigO complexity) {
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switch (complexity) {
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switch (complexity) {
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case O_N:
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case oN:
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return "* N";
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return "* N";
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case O_N_Squared:
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case oNSquared:
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return "* N**2";
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return "* N**2";
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case O_N_Cubed:
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case oNCubed:
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return "* N**3";
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return "* N**3";
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case O_log_N:
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case oLogN:
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return "* lgN";
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return "* lgN";
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case O_N_log_N:
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case oNLogN:
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return "* NlgN";
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return "* NlgN";
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case O_1:
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case o1:
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return "* 1";
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return "* 1";
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default:
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default:
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return "";
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return "";
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@ -27,7 +27,7 @@ void BM_Complexity_O1(benchmark::State& state) {
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while (state.KeepRunning()) {
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while (state.KeepRunning()) {
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}
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}
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||||||
}
|
}
|
||||||
BENCHMARK(BM_Complexity_O1) -> Range(1, 1<<18) -> Complexity(benchmark::O_1);
|
BENCHMARK(BM_Complexity_O1) -> Range(1, 1<<18) -> Complexity(benchmark::o1);
|
||||||
|
|
||||||
static void BM_Complexity_O_N(benchmark::State& state) {
|
static void BM_Complexity_O_N(benchmark::State& state) {
|
||||||
auto v = ConstructRandomVector(state.range_x());
|
auto v = ConstructRandomVector(state.range_x());
|
||||||
@ -36,8 +36,8 @@ static void BM_Complexity_O_N(benchmark::State& state) {
|
|||||||
benchmark::DoNotOptimize(std::find(v.begin(), v.end(), itemNotInVector));
|
benchmark::DoNotOptimize(std::find(v.begin(), v.end(), itemNotInVector));
|
||||||
}
|
}
|
||||||
}
|
}
|
||||||
BENCHMARK(BM_Complexity_O_N) -> RangeMultiplier(2) -> Range(1<<10, 1<<16) -> Complexity(benchmark::O_N);
|
BENCHMARK(BM_Complexity_O_N) -> RangeMultiplier(2) -> Range(1<<10, 1<<16) -> Complexity(benchmark::oN);
|
||||||
BENCHMARK(BM_Complexity_O_N) -> RangeMultiplier(2) -> Range(1<<10, 1<<16) -> Complexity(benchmark::O_Auto);
|
BENCHMARK(BM_Complexity_O_N) -> RangeMultiplier(2) -> Range(1<<10, 1<<16) -> Complexity(benchmark::oAuto);
|
||||||
|
|
||||||
static void BM_Complexity_O_N_Squared(benchmark::State& state) {
|
static void BM_Complexity_O_N_Squared(benchmark::State& state) {
|
||||||
std::string s1(state.range_x(), '-');
|
std::string s1(state.range_x(), '-');
|
||||||
@ -50,7 +50,7 @@ static void BM_Complexity_O_N_Squared(benchmark::State& state) {
|
|||||||
}
|
}
|
||||||
}
|
}
|
||||||
}
|
}
|
||||||
BENCHMARK(BM_Complexity_O_N_Squared) -> Range(1, 1<<8) -> Complexity(benchmark::O_N_Squared);
|
BENCHMARK(BM_Complexity_O_N_Squared) -> Range(1, 1<<8) -> Complexity(benchmark::oNSquared);
|
||||||
|
|
||||||
static void BM_Complexity_O_N_Cubed(benchmark::State& state) {
|
static void BM_Complexity_O_N_Cubed(benchmark::State& state) {
|
||||||
std::string s1(state.range_x(), '-');
|
std::string s1(state.range_x(), '-');
|
||||||
@ -67,7 +67,7 @@ static void BM_Complexity_O_N_Cubed(benchmark::State& state) {
|
|||||||
}
|
}
|
||||||
}
|
}
|
||||||
}
|
}
|
||||||
BENCHMARK(BM_Complexity_O_N_Cubed) -> DenseRange(1, 8) -> Complexity(benchmark::O_N_Cubed);
|
BENCHMARK(BM_Complexity_O_N_Cubed) -> DenseRange(1, 8) -> Complexity(benchmark::oNCubed);
|
||||||
|
|
||||||
static void BM_Complexity_O_log_N(benchmark::State& state) {
|
static void BM_Complexity_O_log_N(benchmark::State& state) {
|
||||||
auto m = ConstructRandomMap(state.range_x());
|
auto m = ConstructRandomMap(state.range_x());
|
||||||
@ -77,7 +77,7 @@ static void BM_Complexity_O_log_N(benchmark::State& state) {
|
|||||||
}
|
}
|
||||||
}
|
}
|
||||||
BENCHMARK(BM_Complexity_O_log_N)
|
BENCHMARK(BM_Complexity_O_log_N)
|
||||||
-> RangeMultiplier(2) -> Range(1<<10, 1<<16) -> Complexity(benchmark::O_log_N);
|
-> RangeMultiplier(2) -> Range(1<<10, 1<<16) -> Complexity(benchmark::oLogN);
|
||||||
|
|
||||||
static void BM_Complexity_O_N_log_N(benchmark::State& state) {
|
static void BM_Complexity_O_N_log_N(benchmark::State& state) {
|
||||||
auto v = ConstructRandomVector(state.range_x());
|
auto v = ConstructRandomVector(state.range_x());
|
||||||
@ -85,15 +85,15 @@ static void BM_Complexity_O_N_log_N(benchmark::State& state) {
|
|||||||
std::sort(v.begin(), v.end());
|
std::sort(v.begin(), v.end());
|
||||||
}
|
}
|
||||||
}
|
}
|
||||||
BENCHMARK(BM_Complexity_O_N_log_N) -> RangeMultiplier(2) -> Range(1<<10, 1<<16) -> Complexity(benchmark::O_N_log_N);
|
BENCHMARK(BM_Complexity_O_N_log_N) -> RangeMultiplier(2) -> Range(1<<10, 1<<16) -> Complexity(benchmark::oNLogN);
|
||||||
BENCHMARK(BM_Complexity_O_N_log_N) -> RangeMultiplier(2) -> Range(1<<10, 1<<16) -> Complexity(benchmark::O_Auto);
|
BENCHMARK(BM_Complexity_O_N_log_N) -> RangeMultiplier(2) -> Range(1<<10, 1<<16) -> Complexity(benchmark::oAuto);
|
||||||
|
|
||||||
// Test benchmark with no range and check no complexity is calculated.
|
// Test benchmark with no range and check no complexity is calculated.
|
||||||
void BM_Extreme_Cases(benchmark::State& state) {
|
void BM_Extreme_Cases(benchmark::State& state) {
|
||||||
while (state.KeepRunning()) {
|
while (state.KeepRunning()) {
|
||||||
}
|
}
|
||||||
}
|
}
|
||||||
BENCHMARK(BM_Extreme_Cases) -> Complexity(benchmark::O_N_log_N);
|
BENCHMARK(BM_Extreme_Cases) -> Complexity(benchmark::oNLogN);
|
||||||
BENCHMARK(BM_Extreme_Cases) -> Arg(42) -> Complexity(benchmark::O_Auto);
|
BENCHMARK(BM_Extreme_Cases) -> Arg(42) -> Complexity(benchmark::oAuto);
|
||||||
|
|
||||||
BENCHMARK_MAIN()
|
BENCHMARK_MAIN()
|
Loading…
Reference in New Issue
Block a user