Dual & Quaternion classes done

fr/alnotz/Application.java

@@ -3,6 +3,9 @@ package fr.alnotz;
 public class Application {
     public static void main(String[] args){
         System.out.println("Hi.");
-
+        Dual dual = new Dual(10, 35);
+        System.out.println(dual);
+        Quaternion quaternion = new Quaternion(21, 45, 7, -9);
+        System.out.println(quaternion);
     }
 }

fr/alnotz/Dual.java

@@ -44,18 +44,18 @@ public class Dual implements IsDual{
     }
 
     @Override
-    public void plus(IsDual dual) {
+    public Dual plus(IsDual dual) {
-        this.r += dual.getR();
+        return new Dual(this.r + dual.getR(),
-        this.d += dual.getD();
+                this.d + dual.getD());
     }
     @Override
-    public void times(IsDual dual) {
+    public Dual times(IsDual dual) {
-        this.r *= dual.getR();
+        return new Dual(this.r * dual.getR(),
-        this.d = this.r * dual.getD() + this.d * dual.getR();
+                this.r * dual.getD() + this.d * dual.getR());
     }
     @Override
-    public void conjugate(){
+    public Dual conjugate(){
-        this.d *= -1;
+        return new Dual(this.r, this.d * -1);
     }
     @Override
     public boolean equals(IsDual dual) {

fr/alnotz/IsDual.java

@@ -5,9 +5,9 @@ public interface IsDual {
     double getD();
     void setR(double r);
     void setD(double d);
-    void plus(IsDual dual);
+    IsDual plus(IsDual dual);
-    void times(IsDual dual);
+    IsDual times(IsDual dual);
-    void conjugate();
+    IsDual conjugate();
     boolean equals(IsDual dual);
     String toString();
 }

fr/alnotz/IsQuaternion.java

@@ -5,13 +5,13 @@ public interface IsQuaternion {
     double getI();
     double getJ();
     double getK();
-    void setS();
+    void setS(double s);
-    void setI();
+    void setI(double i);
-    void setJ();
+    void setJ(double j);
-    void setK();
+    void setK(double k);
-    void plus(IsQuaternion quaternion);
+    IsQuaternion plus(IsQuaternion quaternion);
-    void times(IsQuaternion quaternion);
+    IsQuaternion times(IsQuaternion quaternion);
-    void conjugate();
+    IsQuaternion conjugate();
     boolean equals(IsQuaternion quaternion);
     String toString();
 }

fr/alnotz/Quaternion.java

@@ -19,61 +19,80 @@ public class Quaternion implements IsQuaternion{
     }
     @Override
     public double getS() {
-        return 0;
+        return this.s;
     }
-
     @Override
     public double getI() {
-        return 0;
+        return this.i;
     }
-
     @Override
     public double getJ() {
-        return 0;
+        return this.j;
     }
-
     @Override
     public double getK() {
-        return 0;
+        return this.k;
     }
-
     @Override
-    public void setS() {
+    public void setS(double s) {
-
+        this.s = s;
     }
-
     @Override
-    public void setI() {
+    public void setI(double i) {
-
+        this.i = i;
     }
-
     @Override
-    public void setJ() {
+    public void setJ(double j) {
-
+        this.j = j;
     }
-
     @Override
-    public void setK() {
+    public void setK(double k) {
-
+        this.k = k;
     }
-
     @Override
-    public void plus(IsQuaternion quaternion) {
+    public Quaternion plus(IsQuaternion quaternion) {
-
+        return new Quaternion(this.s + quaternion.getS(),
+                this.i + quaternion.getI(),
+                this.j + quaternion.getJ(),
+                this.k + quaternion.getK());
     }
-
     @Override
-    public void times(IsQuaternion quaternion) {
+    public Quaternion times(IsQuaternion quaternion) {
-
+        /*
+         * (a0 + b0i + c0j + d0k)(a1 + b1i + c1j + d1k)
+         * (a0a1 - b0b1 - c0c1 - d0d1) +
+         *   (a0b1 + b0a1 + c0d1 - d0c1)i +
+         *   (a0c1 - b0d1 + c0a1 + d0b1)j +
+         *   (a0d1 + b0c1 - c0b1 + d0a1)k
+         */
+        double newS = this.s * quaternion.getS() -
+                this.i * quaternion.getI() -
+                this.j * quaternion.getJ() -
+                this.k * quaternion.getK();
+        double newI = this.s * quaternion.getI() +
+                this.i * quaternion.getK() +
+                this.j * quaternion.getS() -
+                this.k * quaternion.getJ();
+        double newJ = this.s * quaternion.getJ() -
+                this.i * quaternion.getK() +
+                this.j * quaternion.getS() +
+                this.k * quaternion.getI();
+        double newK = this.s * quaternion.getK() +
+                this.i * quaternion.getJ() -
+                this.j * quaternion.getI() +
+                this.k * quaternion.getS();
+        return new Quaternion(newS, newI, newJ, newK);
     }
-
     @Override
-    public void conjugate() {
+    public Quaternion conjugate() {
-
+        return new Quaternion(this.s, -1 * this.i, -1 * this.j, -1 * this.k);
     }
-
     @Override
     public boolean equals(IsQuaternion quaternion) {
         return false;
     }
+    @Override
+    public String toString(){
+        return String.format("%+f %+fi %+fj %+fk\n", this.s, this.i, this.j, this.k);
+    }
 }