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+(*CellTagsOutline +CellTagsIndex->{} +*) +(*CellTagsIndex +CellTagsIndex->{} +*) +(*NotebookFileOutline +Notebook[{ +Cell[CellGroupData[{ +Cell[580, 22, 2013, 62, 132, "Input",ExpressionUUID->"16e17a87-a6c9-4cae-9c84-9fc1e4e75fa1"], +Cell[2596, 86, 78205, 1283, 327, "Output",ExpressionUUID->"c9fe5bfa-4519-40b8-98ee-68e87a82642a"] +}, Open ]], +Cell[80816, 1372, 131, 3, 29, "Input",ExpressionUUID->"97a49e2f-eb90-42b4-9e5c-fd0b21f9197b"] +} +] +*) + diff --git a/homeworks/homework_5.cpp b/homeworks/homework_5.cpp index d90ef46..2a2e787 100644 --- a/homeworks/homework_5.cpp +++ b/homeworks/homework_5.cpp @@ -5,7 +5,6 @@ #include "homework_5.h" #define ENABLE_RESULT_PRINTING -#define ENABLE_ITERATION_METHOD_TIMING #ifdef ENABLE_RESULT_PRINTING #define PRINT_RESULT(x) x.print(); @@ -13,35 +12,66 @@ #define PRINT_RESULT(x) #endif -#ifdef ENABLE_ITERATION_METHOD_TIMING -#define ITERATION_METHOD_TIMING_START auto start = std::chrono::high_resolution_clock::now(); -#define ITERATION_METHOD_TIMING_END auto end = std::chrono::high_resolution_clock::now(); \ - auto duration = std::chrono::duration_cast(end - start); -#define ITERATION_METHOD_RETURN_DURATION duration -#else -#define ITERATION_METHOD_TIMING_START -#define ITERATION_METHOD_TIMING_END -#define ITERATION_METHOD_RETURN_DURATION std::chrono::microseconds(0) -#endif +lld f(lld x, lld y) { + return std::sin(x * y); +} + +lld phi(lld x, lld y) { + return x * x + y * y; +} + +void par_1() { + auto n = 20; + auto h = 1.0 / n; + auto A = Matrix(n * n, n * n); + auto b = Vector(n * n); + + for (ull i = 0; i < n * n; i++) { + for (ull j = 0; j < n * n; j++) { + if (i == j) { + A.matrix[i][j] = 1 + h * h / 4; + } else if ((i == j + n || i == j - n) || (i == j + 1 && i % n != 0) || (i == j - 1 && j % n != 0)) { + A.matrix[i][j] = -1.0 / 4; + } + } + + b.array[i] = (h * h / 4) * f((lld) (i / n + 1) * h, (lld) (i % n + 1) * h); // NOLINT(*-integer-division) + } + + for (ull i = 0; i < n; i++) { + b.array[i] += phi(0, (lld) (i + 1) * h) / 4; + b.array[n * n - n + i] += phi(1, (lld) (i + 1) * h) / 4; + } + + for (ull i = 0; i < n; i++) { + b.array[i * n] += phi((lld) (i + 1) * h, 0) / 4; + b.array[i * n + n - 1] += phi((lld) (i + 1) * h, 1) / 4; + } + +// A.print(); +// b.print(); + + auto x_default = Vector(n * n, 1); + auto input = IterationMethodInput{A, b, x_default, 1e-7,}; + auto output = ConjugateGradientMethod(input); + std::cout << output.iteration_count << " iterations" << std::endl; + std::cout << output.time_cost.count() << " μs" << std::endl; + PRINT_RESULT(output.x) +} void par_2_tries(ull n) { auto A = Matrix::hilbert(n); auto b = Vector(n); for (ull i = 0; i < n; i++) { - for (ull j = 0; j