finished exercise 07 & startet 08

src/07/matrix.ts

@@ -64,9 +64,13 @@ export default class Matrix {
      * @return The resulting translation matrix
      */
     static translation(translation: Vector): Matrix {
-
         // TODO: Return a new Matrix that is translated according to the given Vector
-        return Matrix.identity();
+        return new Matrix([
+            1, 0, 0, translation.x,
+            0, 1, 0, translation.y,
+            0, 0, 1, translation.z,
+            0, 0, 0, 1
+        ])
     }
 
     /**
@@ -82,7 +86,32 @@ export default class Matrix {
         // TODO: (1, 0, 0, 0) to specify the x-axis
         // TODO: (0, 1, 0, 0) to specify the y-axis
         // TODO: (0, 0, 1, 0) to specify the z-axis
-        return Matrix.identity();
+        if(axis.x == 1) {
+            return new Matrix ([
+                1, 0, 0, 0,
+                0, Math.cos(angle), -1 * Math.sin(angle), 0,
+                0, Math.sin(angle), Math.cos(angle), 0,
+                0, 0, 0, 1
+            ]);
+        } else 
+        if(axis.y == 1) {
+            return new Matrix ([
+                Math.cos(angle), 0, Math.sin(angle), 0,
+                0, 1, 0, 0,
+                -1 * Math.sin(angle), 0, Math.cos(angle), 0,
+                0, 0, 0, 1
+            ]);
+        } else 
+        if(axis.z == 1) {
+            return new Matrix ([
+                Math.cos(angle), -1 * Math.sin(angle), 0, 0,
+                Math.sin(angle), Math.cos(angle), 0, 0,
+                0, 0, 1, 0,
+                0, 0, 0, 1
+            ]);
+        } else {
+            return Matrix.identity();
+        }
     }
 
     /**
@@ -92,7 +121,12 @@ export default class Matrix {
      */
     static scaling(scale: Vector): Matrix {
         // TODO: Return a new scaling Matrix with the scaling components of the Vector scale
-        return Matrix.identity();
+        return new Matrix([
+            scale.x, 0, 0, 0,
+            0, scale.y, 0, 0,
+            0, 0, scale.z, 0,
+            0, 0, 0, 1
+        ])
     }
 
 
@@ -116,7 +150,19 @@ export default class Matrix {
      */
     mul(other: Matrix): Matrix {
         // TODO: Return a new Matrix mat with mat = this * other
-        return Matrix.identity();
+        var aNumRows = 4, aNumCols = 4,
+        bNumRows = 4, bNumCols = 4,
+        m = new Matrix([0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]);  // initialize array of rows
+        for (var r = 0; r < aNumRows; ++r) {
+            for (var c = 0; c < bNumCols; ++c) {
+                let temp = 0;
+                for (var i = 0; i < aNumCols; ++i) {
+                    temp += this.getVal(r, i) * other.getVal(i,c);
+                }
+                m.setVal(r, c, temp);
+            }
+        }
+        return m;
     }
 
     /**
@@ -126,7 +172,19 @@ export default class Matrix {
      */
     mulVec(other: Vector): Vector {
         // TODO: Return a new Vector vec with vec = this * other
-        return new Vector(0, 0, 0, 0);
+        var aNumRows = 4, aNumCols = 4,
+        bNumRows = 4, bNumCols = 4,
+        m = new Array(0,0,0,0);  // initialize result vector
+        for (var r = 0; r < aNumRows; ++r) {
+            for (var c = 0; c < bNumCols; ++c) {
+                let temp = 0;
+                for (var i = 0; i < aNumCols; ++i) {
+                    temp += this.getVal(r, i) * other.valueOf()[i];
+                }
+                m[r] = temp;
+            }
+        }
+        return new Vector(m[0], m[1], m[2], m[3]);
     }
 
     /**

src/08/setup-scenegraph.ts

@@ -3,8 +3,9 @@ import 'bootstrap/scss/bootstrap.scss';
 
 import Vector from '../05/vector';
 import { GroupNode, SphereNode } from './nodes';
-import { Rotation, Scaling, Translation } from './transformation';
+import { MatrixTransformation, Rotation, Scaling, Translation } from './transformation';
 import { raytracePhong } from './raytracing';
+import Matrix from '../07/matrix';
 
 window.addEventListener('load', () => {
 
@@ -35,15 +36,31 @@ window.addEventListener('load', () => {
     // TODO:                 o root GroupNode with Translation (0, 0, -5)
     // TODO:                / \
     // TODO:               /   \
-    // TODO:   SphereNode o     o GroupNode with moonRotation
-    // TODO:                     \
-    // TODO:                      o GroupNode with Translation (2, 0, 0)
+    // TODO:   SphereNode o     o GroupNode with moonRotation: two
+    // TODO:     one             \
+    // TODO:                      o GroupNode with Translation (2, 0, 0): three
     // TODO:                       \
-    // TODO:                        o GroupNode with Scaling (0.2, 0.2, 0.2)
+    // TODO:                        o GroupNode with Scaling (0.2, 0.2, 0.2): four
     // TODO:                         \
-    // TODO:                          o SphereNode
+    // TODO:                          o SphereNode: five
     // TODO:
 
+    //baumteile
+    let temp = Matrix.identity();
+    let one = new SphereNode(new MatrixTransformation(temp, temp), new Vector(0,0,0,0));    //one
+    let two = new GroupNode(new MatrixTransformation(temp, temp));                          //two
+    let three = new GroupNode(new MatrixTransformation(temp, temp));                        //three
+    let four = new GroupNode(new MatrixTransformation(temp, temp));                         //four
+    let five = new SphereNode(new MatrixTransformation(temp, temp), new Vector(0,0,0,0));   //five
+    
+    //baumstruktur
+    root.add(one);
+    root.add(two);
+    two.add(three);
+    three.add(four);
+    four.add(five);
+
+    //animation
     let animationHandle: number;
 
     let lastTimestamp = 0;