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141 lines
4.4 KiB
C++
141 lines
4.4 KiB
C++
/**
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Lightweight profiler library for c++
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Copyright(C) 2016-2018 Sergey Yagovtsev, Victor Zarubkin
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Licensed under either of
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* MIT license (LICENSE.MIT or http://opensource.org/licenses/MIT)
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* Apache License, Version 2.0, (LICENSE.APACHE or http://www.apache.org/licenses/LICENSE-2.0)
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at your option.
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The MIT License
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Permission is hereby granted, free of charge, to any person obtaining a copy
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of this software and associated documentation files (the "Software"), to deal
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in the Software without restriction, including without limitation the rights
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to use, copy, modify, merge, publish, distribute, sublicense, and/or sell copies
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of the Software, and to permit persons to whom the Software is furnished
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to do so, subject to the following conditions:
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The above copyright notice and this permission notice shall be included in all
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copies or substantial portions of the Software.
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THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR IMPLIED,
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INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY, FITNESS FOR A PARTICULAR
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PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL THE AUTHORS OR COPYRIGHT HOLDERS BE
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LIABLE FOR ANY CLAIM, DAMAGES OR OTHER LIABILITY, WHETHER IN AN ACTION OF CONTRACT,
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TORT OR OTHERWISE, ARISING FROM, OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE
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USE OR OTHER DEALINGS IN THE SOFTWARE.
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The Apache License, Version 2.0 (the "License");
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You may not use this file except in compliance with the License.
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You may obtain a copy of the License at
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http://www.apache.org/licenses/LICENSE-2.0
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Unless required by applicable law or agreed to in writing, software
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distributed under the License is distributed on an "AS IS" BASIS,
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WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
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See the License for the specific language governing permissions and
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limitations under the License.
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**/
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#ifndef COMPLEXITY_CALCULATOR_H
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#define COMPLEXITY_CALCULATOR_H
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#include <cmath>
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#include <functional>
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#include <map>
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#include <numeric>
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#include <vector>
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enum class ComplexityType : uint8_t
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{
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Constant = 0, ///< O(1)
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Logarithmic, ///< O(logN)
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Linear, ///< O(N)
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Quasilinear, ///< O(N*logN)
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Quadratic, ///< O(N^2)
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Cubic, ///< O(N^3)
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Exponential, ///< O(2^N)
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Factorial, ///< O(N!)
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Unknown, ///< cannot estimate
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};
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template<class TValue>
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TValue getAverage(const std::vector<TValue>& derivatives)
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{
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TValue result = std::accumulate(derivatives.begin(), derivatives.end(), TValue(0.0), [](TValue a, TValue b)
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{
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if (std::isnormal(b))
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return a + b;
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return a;
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});
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return result / TValue(derivatives.size());
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}
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template<class TKey, class TValue>
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std::vector<TValue> calculateDerivatives(const std::map<TKey, TValue>& input_array)
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{
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std::vector<TValue> result;
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for (auto it = input_array.cbegin(), next_it = input_array.cbegin()++; next_it != input_array.cend(); it = next_it, ++next_it)
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{
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const auto x0 = it->first;
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const auto x1 = next_it->first;
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const auto y0 = it->second;
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const auto y1 = next_it->second;
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result.push_back((y1 - y0) / (x1 - x0));
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}
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return result;
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}
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template<class TKey, class TValue>
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std::map<TValue, TValue> getLogarithmicChart(const std::map<TKey, std::vector<TValue> >& input)
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{
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std::map<TValue, TValue> result;
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for (auto it : input)
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{
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result[static_cast<TValue>(std::log2(it.first))] = std::log2(getAverage(it.second));
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}
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return result;
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}
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template <class TKey, class TValue>
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ComplexityType estimateComplexity(const std::map<TKey, std::vector<TValue> >& input)
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{
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const auto average = getAverage(calculateDerivatives(getLogarithmicChart(input)));
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const double estimate_angle = std::atan(double(average)) * 57.3;
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if (estimate_angle < 1)
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return ComplexityType::Constant;
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if (estimate_angle < 10)
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return ComplexityType::Logarithmic;
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if (estimate_angle < 30)
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return ComplexityType::Linear;
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if (estimate_angle < 50)
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return ComplexityType::Quasilinear;
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if (estimate_angle < 65)
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return ComplexityType::Quadratic;
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if (estimate_angle < 70)
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return ComplexityType::Cubic;
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if (estimate_angle < 85)
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return ComplexityType::Exponential;
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return ComplexityType::Factorial;
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}
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#endif // COMPLEXITY_CALCULATOR_H
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