tasks a-s

Task/Quaternion-type/Scala/quaternion-type-1.scala

@@ -0,0 +1,36 @@
+case class Quaternion(re:Double =0.0, i:Double =0.0, j:Double =0.0, k:Double =0.0) {
+  lazy val im=(i, j, k)
+  private lazy val norm2=re*re + i*i + j*j + k*k
+  lazy val norm=math.sqrt(norm2)
+
+  def negative=new Quaternion(-re, -i, -j, -k)
+  def conjugate=new Quaternion(re, -i, -j, -k)
+  def reciprocal=new Quaternion(re/norm2, -i/norm2, -j/norm2, -k/norm2)
+
+  def +(q:Quaternion)=new Quaternion(re+q.re, i+q.i, j+q.j, k+q.k)
+  def -(q:Quaternion)=new Quaternion(re-q.re, i-q.i, j-q.j, k-q.k)
+  def *(q:Quaternion)=new Quaternion(
+	 re*q.re - i*q.i - j*q.j - k*q.k,
+	 re*q.i + i*q.re + j*q.k - k*q.j,
+	 re*q.j - i*q.k + j*q.re + k*q.i,
+	 re*q.k + i*q.j - j*q.i + k*q.re	
+  )
+  def /(q:Quaternion)=this*q.reciprocal
+
+  def unary_- = negative
+  def unary_~ = conjugate
+
+  override def equals(x:Any):Boolean=x match {
+		case Quaternion(re, i, j, k) => (Double.doubleToLongBits(this.re)==Double.doubleToLongBits(re)) &&
+		  Double.doubleToLongBits(this.i)==Double.doubleToLongBits(i) &&
+		  Double.doubleToLongBits(this.j)==Double.doubleToLongBits(j) &&
+		  Double.doubleToLongBits(this.k)==Double.doubleToLongBits(k)
+		case _ => false
+	}
+
+  override def toString()="Q(%.2f, %.2fi, %.2fj, %.2fk)".formatLocal(Locale.ENGLISH, re,i,j,k)
+}
+
+object Quaternion {
+  implicit def number2Quaternion[T <% Number](n:T):Quaternion = apply(n.doubleValue)
+}

Task/Quaternion-type/Scala/quaternion-type-2.scala

@@ -0,0 +1,35 @@
+val q0=Quaternion(1.0, 2.0, 3.0, 4.0);
+val q1=Quaternion(2.0, 3.0, 4.0, 5.0);
+val q2=Quaternion(3.0, 4.0, 5.0, 6.0);
+val r=7;
+	
+println("q0 = "+ q0)
+println("q1 = "+ q1)
+println("q2 = "+ q2)
+println("r  = "+ r)
+println()
+	
+println("q0.re            = "+ q0.re)
+println("q0.im            = "+ q0.im)
+println("q0.norm          = "+ q0.norm)
+println("q0.negative      = "+ q0.negative)
+println("-q0              = "+ -q0)
+println("q0.conjugate     = "+ q0.conjugate)
+println("~q0              = "+ ~q0)
+println("q1+q2            = "+ (q1+q2))
+println("q2+q1            = "+ (q2+q1))
+println("q1+r             = "+ (q1+r))
+println("r+q1             = "+ (r+q1))
+println("q1-q2            = "+ (q1-q2))
+println("q2-q1            = "+ (q2-q1))
+println("q1-r             = "+ (q1-r))
+println("r-q1             = "+ (r-q1))
+println("q1*q2            = "+ q1*q2)
+println("q2*q1            = "+ q2*q1)
+println("q1*r             = "+ q1*r)
+println("r*q1             = "+ r*q1)
+println("(q1*q2)!=(q2*q1) = "+ ((q1*q2)!=(q2*q1)))
+println("q1/q2            = "+ q1/q2)
+println("q2/q1            = "+ q2/q1)
+println("q1/r             = "+ q1/r)
+println("r/q1             = "+ r/q1)