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|---|---|---|---|
| 1 | #include "samoylenko_i_integral_trapezoid/seq/include/ops_seq.hpp" | ||
| 2 | |||
| 3 | #include <cmath> | ||
| 4 | #include <cstddef> | ||
| 5 | #include <cstdint> | ||
| 6 | #include <functional> | ||
| 7 | #include <vector> | ||
| 8 | |||
| 9 | #include "samoylenko_i_integral_trapezoid/common/include/common.hpp" | ||
| 10 | |||
| 11 | namespace samoylenko_i_integral_trapezoid { | ||
| 12 | |||
| 13 | namespace { | ||
| 14 | 40 | std::function<double(const std::vector<double> &)> GetIntegrationFunction(int64_t choice) { | |
| 15 |
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40 | switch (choice) { |
| 16 | case 0: // x + y + ... | ||
| 17 | return [](const std::vector<double> &values) { | ||
| 18 | double sum = 0.0; | ||
| 19 |
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260840 | for (double val : values) { |
| 20 | 171224 | sum += val; | |
| 21 | } | ||
| 22 | return sum; | ||
| 23 | }; | ||
| 24 | case 1: // x * y * ... | ||
| 25 | return [](const std::vector<double> &values) { | ||
| 26 | double mult = 1.0; | ||
| 27 |
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244824 | for (double val : values) { |
| 28 | 163216 | mult *= val; | |
| 29 | } | ||
| 30 | return mult; | ||
| 31 | }; | ||
| 32 | case 2: // x^2 + y^2 + ... | ||
| 33 | return [](const std::vector<double> &values) { | ||
| 34 | double sum = 0.0; | ||
| 35 |
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4244832 | for (double val : values) { |
| 36 | 3183624 | sum += val * val; | |
| 37 | } | ||
| 38 | return sum; | ||
| 39 | }; | ||
| 40 | case 3: // sin(x + y + ...) | ||
| 41 | return [](const std::vector<double> &values) { | ||
| 42 | double sum = 0.0; | ||
| 43 |
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16016 | for (double val : values) { |
| 44 | 8008 | sum += val; | |
| 45 | } | ||
| 46 | 8008 | return std::sin(sum); | |
| 47 | }; | ||
| 48 | default: | ||
| 49 | return [](const std::vector<double> &) { return 0.0; }; | ||
| 50 | } | ||
| 51 | } | ||
| 52 | } // namespace | ||
| 53 | |||
| 54 |
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40 | SamoylenkoIIntegralTrapezoidSEQ::SamoylenkoIIntegralTrapezoidSEQ(const InType &in) { |
| 55 | SetTypeOfTask(GetStaticTypeOfTask()); | ||
| 56 |
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40 | GetInput() = in; |
| 57 | 40 | GetOutput() = 0.0; | |
| 58 | 40 | } | |
| 59 | |||
| 60 |
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40 | bool SamoylenkoIIntegralTrapezoidSEQ::ValidationImpl() { |
| 61 | const auto &in = GetInput(); | ||
| 62 | |||
| 63 |
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40 | if (in.a.empty() || in.a.size() != in.b.size() || in.a.size() != in.n.size()) { |
| 64 | return false; | ||
| 65 | } | ||
| 66 | |||
| 67 |
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112 | for (size_t i = 0; i < in.a.size(); ++i) { |
| 68 |
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72 | if (in.n[i] <= 0 || in.a[i] >= in.b[i]) { |
| 69 | return false; | ||
| 70 | } | ||
| 71 | } | ||
| 72 | |||
| 73 | 40 | return in.function_choice >= 0 && in.function_choice <= 3; | |
| 74 | } | ||
| 75 | |||
| 76 | 40 | bool SamoylenkoIIntegralTrapezoidSEQ::PreProcessingImpl() { | |
| 77 | 40 | GetOutput() = 0.0; | |
| 78 | 40 | return true; | |
| 79 | } | ||
| 80 | |||
| 81 |
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40 | bool SamoylenkoIIntegralTrapezoidSEQ::RunImpl() { |
| 82 | const auto &in = GetInput(); | ||
| 83 | 40 | const int dimensions = static_cast<int>(in.a.size()); | |
| 84 | 40 | auto integral_function = GetIntegrationFunction(in.function_choice); | |
| 85 | double sum = 0.0; | ||
| 86 | |||
| 87 |
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40 | std::vector<double> h(dimensions); |
| 88 |
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112 | for (int i = 0; i < dimensions; i++) { |
| 89 | 72 | h[i] = (in.b[i] - in.a[i]) / in.n[i]; | |
| 90 | } | ||
| 91 | |||
| 92 |
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40 | std::vector<int64_t> dim_sizes(dimensions); |
| 93 | int64_t points = 1; | ||
| 94 |
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112 | for (int i = 0; i < dimensions; i++) { |
| 95 | 72 | dim_sizes[i] = in.n[i] + 1; | |
| 96 | 72 | points *= dim_sizes[i]; | |
| 97 | } | ||
| 98 | |||
| 99 |
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40 | std::vector<double> current_point(dimensions); |
| 100 | |||
| 101 |
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1240480 | for (int64_t pnt = 0; pnt < points; pnt++) { |
| 102 | int64_t rem_index = pnt; | ||
| 103 | int weight = 1; | ||
| 104 | |||
| 105 |
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4766512 | for (int dim = 0; dim < dimensions; dim++) { |
| 106 | // convert point index to its coordinate in dimension "dim" | ||
| 107 |
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3526072 | int dim_coord = static_cast<int>(rem_index % dim_sizes[dim]); |
| 108 |
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3526072 | rem_index /= dim_sizes[dim]; |
| 109 | |||
| 110 | 3526072 | current_point[dim] = in.a[dim] + (dim_coord * h[dim]); | |
| 111 | |||
| 112 |
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3526072 | if (dim_coord > 0 && dim_coord < in.n[dim]) { |
| 113 | 3394728 | weight *= 2; | |
| 114 | } | ||
| 115 | } | ||
| 116 | |||
| 117 | 1240440 | sum += integral_function(current_point) * weight; | |
| 118 | } | ||
| 119 | |||
| 120 | double h_mult = 1.0; | ||
| 121 |
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112 | for (int i = 0; i < dimensions; i++) { |
| 122 | 72 | h_mult *= h[i]; | |
| 123 | } | ||
| 124 | |||
| 125 |
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40 | GetOutput() = sum * (h_mult / std::pow(2.0, dimensions)); // h1 * h2 * ... * hn / 2^n |
| 126 | |||
| 127 | 40 | return true; | |
| 128 | } | ||
| 129 | |||
| 130 | 40 | bool SamoylenkoIIntegralTrapezoidSEQ::PostProcessingImpl() { | |
| 131 | 40 | return true; | |
| 132 | } | ||
| 133 | |||
| 134 | } // namespace samoylenko_i_integral_trapezoid | ||
| 135 |