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|---|---|---|---|
| 1 | #include "nikitin_a_monte_carlo/seq/include/ops_seq.hpp" | ||
| 2 | |||
| 3 | #include <array> | ||
| 4 | #include <cmath> | ||
| 5 | #include <cstddef> | ||
| 6 | #include <vector> | ||
| 7 | |||
| 8 | #include "nikitin_a_monte_carlo/common/include/common.hpp" | ||
| 9 | |||
| 10 | namespace nikitin_a_monte_carlo { | ||
| 11 | |||
| 12 | namespace { | ||
| 13 | // Вспомогательная функция для вычисления значения тестовой функции | ||
| 14 |
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4008800 | double EvaluateFunction(const std::vector<double> &point, FunctionType type) { |
| 15 |
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4008800 | if (point.empty()) { |
| 16 | return 0.0; | ||
| 17 | } | ||
| 18 | |||
| 19 |
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4008800 | switch (type) { |
| 20 | case FunctionType::kConstant: | ||
| 21 | return 1.0; | ||
| 22 | case FunctionType::kLinear: | ||
| 23 | 1200000 | return point.at(0); | |
| 24 | case FunctionType::kProduct: | ||
| 25 |
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400000 | if (point.size() < 2) { |
| 26 | return 0.0; | ||
| 27 | } | ||
| 28 | 400000 | return point.at(0) * point.at(1); | |
| 29 | case FunctionType::kQuadratic: | ||
| 30 |
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240000 | if (point.size() < 2) { |
| 31 | return 0.0; | ||
| 32 | } | ||
| 33 | 240000 | return (point.at(0) * point.at(0)) + (point.at(1) * point.at(1)); | |
| 34 | case FunctionType::kExponential: | ||
| 35 | 160000 | return std::exp(point.at(0)); | |
| 36 | default: | ||
| 37 | return 0.0; | ||
| 38 | } | ||
| 39 | } | ||
| 40 | |||
| 41 | // Генерация квазислучайной последовательности Кронекера | ||
| 42 | 8897600 | double KroneckerSequence(int index, int dimension) { | |
| 43 | // Используем простые числа для разных измерений | ||
| 44 | 8897600 | const std::array<double, 10> primes = {2.0, 3.0, 5.0, 7.0, 11.0, 13.0, 17.0, 19.0, 23.0, 29.0}; | |
| 45 |
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8897600 | double alpha = std::sqrt(primes.at(static_cast<std::size_t>(dimension % 10))); |
| 46 | // Берем дробную часть | ||
| 47 | 8897600 | alpha = alpha - std::floor(alpha); | |
| 48 | 8897600 | return std::fmod(index * alpha, 1.0); | |
| 49 | } | ||
| 50 | } // namespace | ||
| 51 | |||
| 52 |
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176 | NikitinAMonteCarloSEQ::NikitinAMonteCarloSEQ(const InType &in) { |
| 53 | SetTypeOfTask(GetStaticTypeOfTask()); | ||
| 54 | GetInput() = in; | ||
| 55 | 176 | GetOutput() = 0.0; | |
| 56 | 176 | } | |
| 57 | |||
| 58 |
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176 | bool NikitinAMonteCarloSEQ::ValidationImpl() { |
| 59 | const auto &[lower_bounds, upper_bounds, num_points, func_type] = GetInput(); | ||
| 60 | |||
| 61 | // Проверка на пустые векторы | ||
| 62 |
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176 | if (lower_bounds.empty() || upper_bounds.empty()) { |
| 63 | return false; | ||
| 64 | } | ||
| 65 | |||
| 66 | // Размерности нижних и верхних границ должны совпадать | ||
| 67 |
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176 | if (lower_bounds.size() != upper_bounds.size()) { |
| 68 | return false; | ||
| 69 | } | ||
| 70 | |||
| 71 | // Проверка, что нижняя граница меньше верхней для каждого измерения | ||
| 72 |
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488 | for (std::size_t i = 0; i < lower_bounds.size(); ++i) { |
| 73 |
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312 | if (lower_bounds[i] >= upper_bounds[i]) { |
| 74 | return false; | ||
| 75 | } | ||
| 76 | } | ||
| 77 | |||
| 78 | // Количество точек должно быть положительным | ||
| 79 | 176 | return num_points > 0; | |
| 80 | } | ||
| 81 | |||
| 82 | 176 | bool NikitinAMonteCarloSEQ::PreProcessingImpl() { | |
| 83 | // Предобработка не требуется, так как все данные уже в GetInput() | ||
| 84 | 176 | return true; | |
| 85 | } | ||
| 86 | |||
| 87 | 176 | bool NikitinAMonteCarloSEQ::RunImpl() { | |
| 88 | const auto &[lower_bounds, upper_bounds, num_points, func_type] = GetInput(); | ||
| 89 | |||
| 90 | std::size_t dim = lower_bounds.size(); | ||
| 91 | |||
| 92 | // Вычисление объема области интегрирования | ||
| 93 | double volume = 1.0; | ||
| 94 |
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488 | for (std::size_t i = 0; i < dim; ++i) { |
| 95 | 312 | volume *= (upper_bounds[i] - lower_bounds[i]); | |
| 96 | } | ||
| 97 | |||
| 98 | // Сумма значений функции в точках | ||
| 99 | double sum = 0.0; | ||
| 100 | |||
| 101 | // Генерация точек и вычисление функции | ||
| 102 |
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4008976 | for (int i = 0; i < num_points; ++i) { |
| 103 | 4008800 | std::vector<double> point(dim); | |
| 104 | |||
| 105 | // Генерация точки с помощью последовательности Кронекера | ||
| 106 |
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12906400 | for (std::size_t j = 0; j < dim; ++j) { |
| 107 | // Получаем значение в единичном гиперкубе [0,1) | ||
| 108 |
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8897600 | double u = KroneckerSequence(i, static_cast<int>(j)); |
| 109 | // Масштабируем в реальную область интегрирования | ||
| 110 | 8897600 | point[j] = lower_bounds[j] + (u * (upper_bounds[j] - lower_bounds[j])); | |
| 111 | } | ||
| 112 | |||
| 113 | // Вычисляем значение функции в точке | ||
| 114 |
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4008800 | sum += EvaluateFunction(point, func_type); |
| 115 | } | ||
| 116 | |||
| 117 | // Вычисляем приближенное значение интеграла | ||
| 118 | 176 | double result = volume * sum / static_cast<double>(num_points); | |
| 119 | |||
| 120 | // Сохраняем результат | ||
| 121 | 176 | GetOutput() = result; | |
| 122 | |||
| 123 | 176 | return true; | |
| 124 | } | ||
| 125 | |||
| 126 | 176 | bool NikitinAMonteCarloSEQ::PostProcessingImpl() { | |
| 127 | // Постобработка не требуется, результат уже сохранен в GetOutput() | ||
| 128 | 176 | return true; | |
| 129 | } | ||
| 130 | |||
| 131 | } // namespace nikitin_a_monte_carlo | ||
| 132 |