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Author SHA1 Message Date
b70424b24c Merge remote-tracking branch 'origin/master' 2025-12-22 16:52:51 +01:00
b829d1b699 commit 2025-12-22 16:52:08 +01:00

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