The compute engine server:
public interface Compute extends Remote
{
Object executeTask(Task t) throws RemoteException;
}
The Task
interface defines the interface between the compute engine and the work
that it needs to do, providing the way to start the work.
public interface Task extends Serializable
{
Object execute();
}
public class ComputeEngine extends UnicastRemoteObject
implements Compute
{
public ComputeEngine()
throws RemoteException { }
public Object executeTask(Task
t)
{
return t.execute();
}
public static void main(String[] args)
{
if (System.getSecurityManager()
== null)
{
System.setSecurityManager(new RMISecurityManager()); //server
loads Task objects
}
try
{
Compute engine = new ComputeEngine(); // engine
is a Compute not a ComputeEngine
Naming.rebind("Compute", engine); // register
compute server on this machine
System.out.println("ComputeEngine bound");
}
catch (Exception
e)
{
System.err.println("ComputeEngine exception: " + e.getMessage());
e.printStackTrace();
}
}
}
public class ComputePi
{
public static void main(String args[])
{
if (System.getSecurityManager()
== null)
{
System.setSecurityManager(new RMISecurityManager()); //client
loads executeTask stub
}
try
{
String name = "//" + args[0] + "/Compute";
Compute comp = (Compute) Naming.lookup(name);
Pi task = new Pi(Integer.parseInt(args[1])); // Pi
implements Task
BigDecimal pi = (BigDecimal) (comp.executeTask(task));
System.out.println(pi);
}
catch (Exception
e)
{
System.err.println("ComputePi exception: " + e.getMessage());
e.printStackTrace();
}
}
}
public class Pi implements Task
{
/** constants */
private static final BigDecimal ZERO = BigDecimal.valueOf(0);
private static final BigDecimal ONE
= BigDecimal.valueOf(1);
private static final BigDecimal FOUR = BigDecimal.valueOf(4);
private static final int roundingMode = BigDecimal.ROUND_HALF_EVEN;
/** digits of precision after the decimal
point */
private int digits;
/**
* Construct a task to calculate pi
to the specified precision.
*/
public Pi(int digits) { this.digits = digits;
}
/**
* Calculate pi.
*/
public Object execute()
{ return computePi(digits); }
/**
* Compute the value of pi to the specified
number of
* digits after the decimal point.
The value is
* computed using Machin's formula:
*
*
pi/4 = 4*arctan(1/5) - arctan(1/239)
*
* & a power series expansion of
arctan(x) to sufficient precision.
*/
public static BigDecimal
computePi(int digits)
{
int scale = digits
+ 5;
BigDecimal arctan1_5
= arctan(5, scale);
BigDecimal arctan1_239
= arctan(239, scale);
BigDecimal pi = arctan1_5.multiply(FOUR).subtract(arctan1_239).multiply(FOUR);
return pi.setScale(digits,
BigDecimal.ROUND_HALF_UP);
}
/**
* Compute the value, in radians, of
the arctangent of
* the inverse of the supplied integer
to the speficied
* number of digits after the decimal
point. The value
* is computed using the power series
expansion for the arc tangent:
*
* arctan(x) = x - (x^3)/3 + (x^5)/5
- (x^7)/7 + * (x^9)/9 ...
*/
public static BigDecimal arctan(int inverseX,
int scale)
{
BigDecimal result,
numer, term;
BigDecimal invX =
BigDecimal.valueOf(inverseX);
BigDecimal invX2
=
BigDecimal.valueOf(inverseX
* inverseX);
numer = ONE.divide(invX,
scale, roundingMode);
result = numer;
int i = 1;
do
{
numer = numer.divide(invX2, scale, roundingMode);
int denom = 2 * i + 1;
term = numer.divide(BigDecimal.valueOf(denom), scale, roundingMode);
if ((i % 2) != 0)
result = result.subtract(term);
else
result = result.add(term);
i++;
}
while (term.compareTo(ZERO)
!= 0);
return result;
}
}