Entwickler: gamematrix.h aktualisiert

gamematrix.h

@@ -1,19 +0,0 @@
-#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);
-};

includes/gamematrix.h

@@ -0,0 +1,23 @@
+#pragma once
+#include <vector>
+#include <array>
+#include <stdexcept>
+#include <cmath>
+
+namespace Matrix3D
+{
+    using Vec3 = std::array<double, 3>;
+    using Vec4 = std::array<double, 4>;
+    using Mat4 = std::array<std::array<double, 4>, 4>;
+
+    class gameMatrix
+    {
+    public:
+        static Mat4 identity();
+        static Mat4 matmul(const Mat4& A, const Mat4& B);
+        static Mat4 translate(const Vec3& pos);
+        static Mat4 rot3D(double angle_deg, char axis);
+    };
+    Mat4 operator*(const Mat4& A, const Mat4& B);
+    Vec3 operator*(const Mat4& m, const Vec3& v);
+}

src/gamematrix.cpp

@@ -0,0 +1,97 @@
+//
+// Created by bakee on 03.11.2025.
+//
+#include "gamematrix.h"
+#include <cmath>
+
+namespace Matrix3D
+{
+    Mat4 gameMatrix::identity()
+    {
+        return {{
+            {1.0, 0.0, 0.0, 0.0},
+            {0.0, 1.0, 0.0, 0.0},
+            {0.0, 0.0, 1.0, 0.0},
+            {0.0, 0.0, 0.0, 1.0}
+        }};
+    }
+
+    Mat4 gameMatrix::matmul(const Mat4& A, const Mat4& B)
+    {
+        const int N = 4;
+        Mat4 result = {};
+        for (int i = 0; i < N; ++i)
+        {
+            for (int j = 0; j < N; ++j)
+            {
+                for (int k = 0; k < N; ++k)
+                {
+                    result[i][j] += A[i][k] * B[k][j];
+                }
+            }
+        }
+        return result;
+    }
+
+    Mat4 gameMatrix::translate(const Vec3& pos)
+    {
+        Mat4 result = identity();
+
+        result[0][3] = pos[0]; // x
+        result[1][3] = pos[1]; // y
+        result[2][3] = pos[2]; // z
+
+        return result;
+    }
+
+    Mat4 gameMatrix::rot3D(double angle_deg, char axis)
+    {
+        const double angle_rad = angle_deg * M_PI / 180.0;
+
+        Mat4 result = identity();
+
+        const double c = std::cos(angle_rad);
+        const double s = std::sin(angle_rad);
+
+        switch (axis)
+        {
+            case 'x':
+                result[1][1] = c; result[1][2] = -s;
+                result[2][1] = s; result[2][2] = c;
+                break;
+            case 'y':
+                result[0][0] = c; result[0][2] = s;
+                result[2][0] = -s; result[2][2] = c;
+                break;
+            case 'z':
+                result[0][0] = c; result[0][1] = -s;
+                result[1][0] = s; result[1][1] = c;
+                break;
+            default:
+                break;
+        }
+        return result;
+    }
+
+    Mat4 operator*(const Mat4& A, const Mat4& B)
+    {
+        return gameMatrix::matmul(A, B);
+    }
+
+    Vec3 operator*(const Mat4& m, const Vec3& v)
+    {
+        Vec4 v_hom = {v[0], v[1], v[2], 1.0};
+        Vec4 res_hom = {};
+
+        for (int i = 0; i < 4; ++i)
+        {
+            for (int j = 0; j < 4; ++j)
+            {
+                res_hom[i] += m[i][j] * v_hom[j];
+            }
+        }
+
+        return {res_hom[0], res_hom[1], res_hom[2]};
+    }
+
+}