test.cpp aktualisiert

includes/gamematrix.cpp

@@ -0,0 +1,150 @@
+//
+// Created by kris- on 03.11.2025.
+//
+#include <iostream>
+#include "gamematrix.h"
+
+// Matrixmultiplikation
+
+
+// Rotationsmatrix um Achse x/y/z
+static std::array<std::array<double,4>,4> rot3D(double angle_deg, char axis);
+
+// Verschiebung
+static std::array<std::array<double,4>,4> translate(const std::array<double, 3>& pos);
+
+
+
+
+//Matrixmultiplikation-Funktion
+std::array<std::array<double,4>,4> gameMatrix::matmul(
+    const std::array<std::array<double,4>,4>& A,
+    const std::array<std::array<double,4>,4>& B)
+
+{       //Matrix-Mathematik (Matrix C = A*B)
+    std::array<std::array<double,4>,4> C{};
+
+    for (int i = 0; i < 4; ++i)
+        for (int j = 0; j < 4; ++j)
+            for (int k = 0; k < 4; ++k)
+                C[i][j] += A[i][k] * B[k][j];
+
+
+    return C;
+
+}
+
+//Rotation 3D
+std::array<std::array<double,4>,4> gameMatrix::rot3D(double angle_deg, char axis) {
+    double rad = angle_deg * M_PI / 180.0;
+
+    //Mathematik-Rotation
+    std::array<std::array<double,4>,4> R{};
+
+    for (int i = 0; i < 4; ++i)
+        R[i][i] = 1.0;
+
+    if (axis == 'x' || axis == 'X') {
+        R[1][1] = cos(rad);
+        R[1][2] = -sin(rad);
+        R[2][1] = sin(rad);
+        R[2][2] = cos(rad);
+    } else if (axis == 'y' || axis == 'Y') {
+        R[0][0] = cos(rad);
+        R[0][2] = sin(rad);
+        R[2][0] = -sin(rad);
+        R[2][2] = cos(rad);
+    } else if (axis == 'z' || axis == 'Z') {
+        R[0][0] = cos(rad);
+        R[0][1] = -sin(rad);
+        R[1][0] = sin(rad);
+        R[1][1] = cos(rad);
+    }
+
+    return R;
+}
+
+//Translation
+std::array<std::array<double,4>,4> gameMatrix::translate(const std::array<double,3>& pos) {
+    std::array<std::array<double,4>,4> T{};
+    for (int i = 0; i < 4; ++i)
+        T[i][i] = 1.0; // Identitätsmatrix
+
+    T[0][3] = pos[0]; // x-Verschiebung
+    T[1][3] = pos[1]; // y-Verschiebung
+    T[2][3] = pos[2]; // z-Verschiebung
+
+    return T;
+}
+
+
+
+
+int main()
+{
+    // Part Matrix
+    std::array<std::array<double,4>,4> A{};
+    std::array<std::array<double,4>,4> B{};
+
+    std::cout << "Gib die Werte für Matrix A (4x4) ein:\n";
+    for (int i = 0; i < 4; ++i)
+        for (int j = 0; j < 4; ++j) {
+            std::cout << "A[" << i << "][" << j << "] = ";
+            std::cin >> A[i][j];
+        }
+
+    std::cout << "\nGib die Werte für Matrix B (4x4) ein:\n";
+    for (int i = 0; i < 4; ++i)
+        for (int j = 0; j < 4; ++j) {
+            std::cout << "B[" << i << "][" << j << "] = ";
+            std::cin >> B[i][j];
+        }
+
+    std::array<std::array<double,4>,4> C = gameMatrix::matmul(A, B);
+
+    std::cout << "\nErgebnis der Matrixmultiplikation (C = A * B):\n";
+    for (int i = 0; i < 4; ++i) {
+        for (int j = 0; j < 4; ++j)
+            std::cout << C[i][j] << "\t";
+        std::cout << "\n";
+    }
+    //Ende Matrix
+
+
+    // Rotation
+    double angle;
+    char axis;
+    std::cout << "\nGib einen Rotationswinkel in Grad ein: ";
+    std::cin >> angle;
+    std::cout << "Gib die Rotationsachse (x/y/z) ein: ";
+    std::cin >> axis;
+
+    std::array<std::array<double,4>,4> R = gameMatrix::rot3D(angle, axis);
+
+    std::cout << "\nRotationsmatrix R:\n";
+    for (int i = 0; i < 4; ++i) {
+        for (int j = 0; j < 4; ++j)
+            std::cout << R[i][j] << "\t";
+        std::cout << "\n";
+    }
+
+    // Translation
+    std::array<double,3> pos;
+    std::cout << "\nGib die Translation (x y z) ein: ";
+    std::cin >> pos[0] >> pos[1] >> pos[2];
+
+    std::array<std::array<double,4>,4> T = gameMatrix::translate(pos);
+
+    std::cout << "\nTranslationsmatrix T:\n";
+    for (int i = 0; i < 4; ++i) {
+        for (int j = 0; j < 4; ++j)
+            std::cout << T[i][j] << "\t";
+        std::cout << "\n";
+    }
+
+    return 0;
+}
+
+
+
+

src/gamematrix.h

@@ -0,0 +1,19 @@
+#pragma once
+#include <vector>
+#include <array>
+#include <stdexcept>
+#include <cmath>
+
+class gameMatrix
+{
+public:
+    // Matrix Multiplikation
+    static std::array<std::array<double,4>,4> matmul(const std::array<std::array<double,4>,4>& A,
+                                                   const std::array<std::array<double,4>,4>& B);
+
+    // Rotationsmatrix um Achse x/y/z
+    static std::array<std::array<double,4>,4> rot3D(double angle_deg, char axis);
+
+    // Verschiebung
+    static std::array<std::array<double,4>,4> translate(const std::array<double, 3>& pos);
+};