generated from freudenreichan/Programmieren_3b
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b70424b24c
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| b829d1b699 |
@ -2,43 +2,36 @@
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#include <chrono>
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#include <iostream>
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#include <omp.h>
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#include <cstdlib>
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#include <ctime>
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// Funktion erzeugt zwei Matrizen A und B der Größe n x n mit Zufallswerten
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// Zufallsmatrizen erzeugen
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void generateRandomMatrices(int n,
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std::vector<std::vector<double>>& A,
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std::vector<std::vector<double>>& B,
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double min_val = 0.0,
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double max_val = 10.0)
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std::vector<std::vector<double>>& B)
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{
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// Zufallsgenerator initialisieren
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std::srand(static_cast<unsigned int>(std::time(nullptr)));
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A.resize(n, std::vector<double>(n));
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B.resize(n, std::vector<double>(n));
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for (int i = 0; i < n; ++i)
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for (int j = 0; j < n; ++j)
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{
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double r1 = static_cast<double>(std::rand()) / RAND_MAX; // 0..1
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double r2 = static_cast<double>(std::rand()) / RAND_MAX; // 0..1
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A[i][j] = min_val + r1 * (max_val - min_val);
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B[i][j] = min_val + r2 * (max_val - min_val);
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A[i][j] = static_cast<double>(rand()) / RAND_MAX * 10.0;
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B[i][j] = static_cast<double>(rand()) / RAND_MAX * 10.0;
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}
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}
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// Matrizenmultiplikation
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std::vector<std::vector<double>> matmul(const std::vector<std::vector<double>>& A,
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// Serielle Matrizenmultiplikation
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std::vector<std::vector<double>> matmul_serial(
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const std::vector<std::vector<double>>& A,
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const std::vector<std::vector<double>>& B)
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{
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int n = A.size();
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int m = B[0].size();
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int p = B.size();
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if (A[0].size() != B.size())
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throw std::runtime_error("Matrixgrößen passen nicht.");
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std::vector<std::vector<double>> C(n, std::vector<double>(m, 0.0));
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#pragma omp parallel for
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for (int i = 0; i < n; ++i)
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for (int j = 0; j < m; ++j)
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for (int k = 0; k < p; ++k)
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@ -47,22 +40,55 @@ std::vector<std::vector<double>> matmul(const std::vector<std::vector<double>>&
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return C;
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}
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// Parallele Zeilenzerlegung
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std::vector<std::vector<double>> matmul_row_parallel(
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const std::vector<std::vector<double>>& A,
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const std::vector<std::vector<double>>& B)
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{
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int n = A.size();
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int m = B[0].size();
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int p = B.size();
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std::vector<std::vector<double>> C(n, std::vector<double>(m, 0.0));
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#pragma omp parallel for
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for (int i = 0; i < n; ++i) // Zeilen parallel
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for (int j = 0; j < m; ++j)
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for (int k = 0; k < p; ++k)
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C[i][j] += A[i][k] * B[k][j];
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return C;
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}
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// -----------------------------
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int main()
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{
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int N = 500; // z.B. 500x500
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int N = 500;
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std::vector<std::vector<double>> A, B;
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auto start = std::chrono::steady_clock::now();
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generateRandomMatrices(N, A, B);
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auto C_serial = matmul(A, B);
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// Serielle Version
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auto start = std::chrono::steady_clock::now();
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auto C_serial = matmul_serial(A, B);
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auto end = std::chrono::steady_clock::now();
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std::chrono::duration<double> diff = end - start;
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std::cout << "Took: " << diff.count() << "s\n";
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std::cout << "Serial multiplication took: "
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<< std::chrono::duration<double>(end - start).count() << "s\n";
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// Zeilenparallel
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start = std::chrono::steady_clock::now();
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auto C_row = matmul_row_parallel(A, B);
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end = std::chrono::steady_clock::now();
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std::cout << "Row-parallel multiplication took: "
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<< std::chrono::duration<double>(end - start).count() << "s\n";
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// Vergleich
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for (int i = 0; i < N; ++i)
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for (int j = 0; j < N; ++j)
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if (C_serial[i][j] != C_row[i][j])
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{
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std::cout << "Mismatch at " << i << "," << j << "\n";
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return 1;
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}
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std::cout << "All results match!\n";
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return 0;
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}
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//
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// Created by Anke Bidlingmaier on 15.12.25.
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//
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