From 97ac54fe8573e039a547bcf08bf39558eb07e954 Mon Sep 17 00:00:00 2001 From: Luca Conte Date: Wed, 21 May 2025 23:01:14 +0200 Subject: [PATCH] u08 --- u08-1/README.md | 27 ++++ u08-2/README.md | 26 ++++ u08-2/TreeSumSequential.java | 289 +++++++++++++++++++++++++++++++++++ u08-2/tree.ser | Bin 0 -> 4500117 bytes 4 files changed, 342 insertions(+) create mode 100644 u08-1/README.md create mode 100644 u08-2/README.md create mode 100644 u08-2/TreeSumSequential.java create mode 100644 u08-2/tree.ser diff --git a/u08-1/README.md b/u08-1/README.md new file mode 100644 index 0000000..826a956 --- /dev/null +++ b/u08-1/README.md @@ -0,0 +1,27 @@ +# Problem 8.1: Compare `ForkJoinPool` to `ThreadPoolExecutor` + +According to the lecture, the two types of Java thread pools are optimized for different application +scenarios: + +- `ForkJoinPool` for task that are mutually dependent, created by other tasks, short, rarely blocking (i.e. computation-intensive) +- `ThreadPoolExecutor` for tasks that are mutually independent, submitted "from the +outside", long, sometimes blocking + +Can you give justifications for these five differences (many vs. few tasks, dependent vs. independent +tasks, created by the application vs. created by other tasks, short vs. long tasks, rarely vs. frequently +blocking tasks) when considering the different queuing behavior and also the `join()` operation of +the ForkJoinTask? Formulate one sentence for each of the five differences, e.g. "`ForkJoinPool` +is better suited to independent tasks because ...". + +## Answer: + +`ForkJoinPool` is better suited for mutually dependent tasks because the `join()` allows for efficient execution of child tasks without blocking the thread + +`ThreadPoolExecutor` is better suited for tasks which can block because blocking threads can make `ForkJoinPool`s much more inefficient. + +`ThreadPoolExecutor` is better suited for long running tasks, because `join()` executes another task while waiting for the current one to finish, therefore possibly waiting longer than strictly necessary. + +`ForkJoinPool` is better suited for short running tasks because it creates less synchronization overhead than `ThreadPoolExecutor` and it uses a stack instead of a FiFo Queue to allow the newest tasks to be executed first (which also makes it better suited for mutually dependent tasks, since the waiting time for `join()`ing tasks is minimized) + +Tasks usually create other tasks if they are dependent on that task, so since `ForkJoinPool` is better suited for mutually dependent tasks, it is also better suited for tasks that create other tasks. + diff --git a/u08-2/README.md b/u08-2/README.md new file mode 100644 index 0000000..1d94598 --- /dev/null +++ b/u08-2/README.md @@ -0,0 +1,26 @@ +# Problem 8.2: Recursive counting using Callable vs. ForkJoinTask + +Class `TreeSumSequential` in the source code folder on the server builds a binary tree with a +random structure with each node containing a random number. Then it sequentially computes for each +node the number of prime numbers up to the number in this node (this computation is performed in +two parts in order to simulate that it may become clear only during the processing of a node that some +further computation effort is necessary – see method `countPrimesInTree`). Finally, the total +number of prime numbers over all nodes it printed. + +Extend this program by two more implementations of this tree-wide prime number counting: + +- a concurrent one that uses a `Callable` for each node and a `ThreadPoolExecutor` +- a concurrent one that uses a `ForkJoinTask` for each node and the `ForkJoinPool.commonPool()` + +The tasks for child nodes should be created and submitted about in the middle of processing the parent +node, quite as in `countPrimesInTree`. + +Compare the run times of the three implementations – if you like, also for different values of the +configuration constants `MAX_NUMBER_IN_NODE` (corresponds to the size of a task) und +`MAX_NODES` (an upper limit for the number of tasks which is reached provided that +`SUBTREE_THRESHOLD_PERCENT` is large enough). The run time of a task depends on the depth +of its node in the tree. + +Since all three implementations compute the sum for the same tree, all three must print the same total +number; you may thus use a comparison to the sequentially computed number as a correctness check +of your concurrent implementations. \ No newline at end of file diff --git a/u08-2/TreeSumSequential.java b/u08-2/TreeSumSequential.java new file mode 100644 index 0000000..7f10dfb --- /dev/null +++ b/u08-2/TreeSumSequential.java @@ -0,0 +1,289 @@ +import java.io.FileInputStream; +import java.io.FileOutputStream; +import java.io.ObjectInputStream; +import java.io.ObjectOutputStream; +import java.io.Serializable; +import java.util.ArrayDeque; +import java.util.Queue; +import java.util.concurrent.Callable; +import java.util.concurrent.ExecutionException; +import java.util.concurrent.ExecutorService; +import java.util.concurrent.Executors; +import java.util.concurrent.ForkJoinPool; +import java.util.concurrent.ForkJoinTask; +import java.util.concurrent.Future; +import java.util.concurrent.RecursiveAction; +import java.util.concurrent.RecursiveTask; +import java.util.concurrent.ThreadPoolExecutor; + +/** + * Construct a binary tree and compute the sum over all tree nodes + * of the number of primes between 2 and each node's number + * using a sequential implementation. + * + * @author Holger.Peine@hs-hannover.de + */ +@SuppressWarnings("serial") +public class TreeSumSequential { + + /** + * Probability for a node to have a child node. If this is low, a small tree often results; + * if this is high, then the tree often has the maximum allowed number of nodes. + */ + private static final int SUBTREE_THRESHOLD_PERCENT = 70; + + /** + * Each node contains a random number between 1 and this: + * Must count the number of primes in that range + */ + private static final int MAX_NUMBER_IN_NODE = 300; + + private static final int MAX_NODES = 300_000; + + /* + * Number of repetitions of the test + */ + private static final int N_TESTS = 5; + + /** + * A simple binary tree node, holding a random int between 0 and MAX_NUMBER_IN_NODE, + * the level/height of this node, and references to up to two child nodes. + */ + static final class Node implements Serializable { + Node(int level) { + this.number = (int)(Math.random()*MAX_NUMBER_IN_NODE); + this.level = level; + left = null; + right = null; + ++nNodes; + } + Node left, right; + int number, level; + } + + private static int nNodes; + private static int maxLevel; + + /** + * Create a random binary tree where each node has children with a certain probability. + * Create the tree breadth-first by taking a node from the front of a work queue of nodes, + * possibly creating child nodes for this node and adding those at the back of the queue, + * and repeating this until the queue is empty or MAX_NODES nodes have been created. + * + * Note that nodes removed from the queue do not vanish, but are still linked with their + * ancestor nodes higher up in the tree. At any time, the queue contains the leaves of the + * current tree. + */ + private static void createTree(Queue queue) { + Node current, leftChild, rightChild; + + nNodes = 0; + maxLevel = 0; + + while (!queue.isEmpty() && nNodes < MAX_NODES) { + current = queue.remove(); + int level = current.level; + if (level > maxLevel) { + maxLevel = level; + } + if ( (int)(Math.random()*100) < SUBTREE_THRESHOLD_PERCENT) { + leftChild = new Node(level+1); + current.left = leftChild; + queue.add(leftChild); + } + if ( (int)(Math.random()*100) < SUBTREE_THRESHOLD_PERCENT) { + rightChild = new Node(level+1); + current.right = rightChild; + queue.add(rightChild); + } + } + } + /** + * @return the number of primes between from and to + * using a deliberately inefficient implementation + */ + private static int countPrimes(int from, int to) { + int nPrimes = 0, t; + for (int n = from; n < to; n++) { + // check if n is prime (using a deliberately inefficient test) + for (t = 2; t < n; t++) { + if (n % t == 0) { + break; + } + } + if (t == n) { // n is prime + ++nPrimes; + } + } + return nPrimes; + } + + /** + * The prime counting method used by the sequential implementation + * @param node the tree + * @return sum over all tree nodes of the number of primes between 2 and each node's number + * + * Note that the recursive calls occur after half of the work for this node has been completed. + * (Half of the work is about 70% of the numbers, since the amount of work for a number increases + * with the square of the number.) This is to sort of simulate the situation that the need for + * further work to be done becomes clear only during the work for this node. While this does not + * really make a difference in the sequential case here, the time when recursive tasks are submitted + * does make a difference for the overall behavior in the parallel case. + */ + public static int countPrimesInTree(Node node) { + int leftResult = 0, rightResult = 0; + int nPrimesFirstPart = countPrimes(2, (int)(0.7*node.number)); + if (node.left != null) + leftResult = countPrimesInTree(node.left); + if (node.right != null) + rightResult = countPrimesInTree(node.right); + int nPrimesSecondPart = countPrimes((int)(0.7*node.number), node.number+1); + return nPrimesFirstPart + nPrimesSecondPart + leftResult + rightResult; + } + + static final class TreeSumTaskThreadPool implements Callable { + private Node node; + private ExecutorService executorService; + + public TreeSumTaskThreadPool(Node node, ExecutorService executorService) { + this.node = node; + this.executorService = executorService; + } + + @Override + public Integer call() throws InterruptedException, ExecutionException { + Future leftFuture = null; + Future rightFuture = null; + int nPrimesFirstPart = countPrimes(2, (int)(0.7*node.number)); + if (node.left != null) { + leftFuture = executorService.submit(new TreeSumTaskThreadPool(node.left, executorService)); + } + if (node.right != null) { + rightFuture = executorService.submit(new TreeSumTaskThreadPool(node.right, executorService)); + } + + int nPrimesSecondPart = countPrimes((int)(0.7*node.number), node.number+1); + + int leftResult = leftFuture == null ? 0 : leftFuture.get(); + int rightResult = rightFuture == null ? 0 : rightFuture.get(); + + return nPrimesFirstPart + nPrimesSecondPart + leftResult + rightResult; + } + } + + static final class TreeSumTaskForkJoin extends RecursiveTask { + private Node node; + + public TreeSumTaskForkJoin(Node node) { + this.node = node; + } + + @Override + protected Integer compute() { + int nPrimesFirstPart = countPrimes(2, (int)(0.7*node.number)); + + TreeSumTaskForkJoin leftTask = null, rightTask = null; + if (node.left != null) { + leftTask = new TreeSumTaskForkJoin(node.left); + leftTask.fork(); + } + if (node.right != null) { + rightTask = new TreeSumTaskForkJoin(node.right); + rightTask.fork(); + } + + if (leftTask != null) leftTask.join(); + if (rightTask != null) rightTask.join(); + + int leftResult = 0; + int rightResult = 0; + + try { + leftResult = leftTask == null ? 0 : leftTask.get(); + rightResult = rightTask == null ? 0 : rightTask.get(); + } catch (Exception e) {} + + int nPrimesSecondPart = countPrimes((int)(0.7*node.number), node.number+1); + + return nPrimesFirstPart + nPrimesSecondPart + leftResult + rightResult; + } + } + + public static int countPrimesInTree_ThreadPoolExecutor(Node node) throws InterruptedException, ExecutionException { + ExecutorService ecs = Executors.newCachedThreadPool(); // fixed size causes deadlock + + Future result = ecs.submit(new TreeSumTaskThreadPool(node, ecs)); + return result.get(); + } + + public static int countPrimesInTree_ForkJoinTask(Node node) { + ForkJoinPool fjp = ForkJoinPool.commonPool(); + TreeSumTaskForkJoin task = new TreeSumTaskForkJoin(node); + return fjp.invoke(task); + } + + + /** + * @param args: args[0] may hold the name of file holding the serialized tree to be used for benchmarking + */ + public static void main(String[] args) throws InterruptedException, ExecutionException { + long startTime, endTime; + long totalSeqRuntime = 0; + Node tree = null; + + for (int testRound = 0; testRound < N_TESTS; ++testRound) { + + // Construct tree: Either read it from a file, or create a new one + if (args.length > 0) { // 1st argument is name of file with serialized tree + ObjectInputStream ois; + try { + ois = new ObjectInputStream(new FileInputStream(args[0])); + tree = (Node)ois.readObject(); + ois.close(); + } catch (Exception e) { + System.out.println(e); + } + } + else { // Create a new tree + tree = new Node(0); // the root node (at level 0) + Queue queue = new ArrayDeque<>(); + queue.add(tree); + createTree(queue); + System.out.println("Built binary tree with " + nNodes + " nodes, height " + maxLevel); + } + // Write the tree to file "tree.ser", no matter how it was constructed: + try { + ObjectOutputStream oos = new ObjectOutputStream(new FileOutputStream("tree.ser")); + oos.writeObject(tree); + oos.close(); + } catch (Exception e) { + System.out.println(e); + } + + // Count sequentially + startTime = System.currentTimeMillis(); + int sequentialResult = countPrimesInTree(tree); + endTime = System.currentTimeMillis(); + totalSeqRuntime += endTime - startTime; + System.out.println("Sequential result: Found " + sequentialResult + + " primes in " + (double)(endTime - startTime)/1000 + " sec"); + + startTime = System.currentTimeMillis(); + int threadPoolExecutorResult = countPrimesInTree_ThreadPoolExecutor(tree); + endTime = System.currentTimeMillis(); + totalSeqRuntime += endTime - startTime; + System.out.println("ThreadPoolExecutor result: Found " + threadPoolExecutorResult + + " primes in " + (double)(endTime - startTime)/1000 + " sec"); + + startTime = System.currentTimeMillis(); + int forkJoinResult = countPrimesInTree_ForkJoinTask(tree); + endTime = System.currentTimeMillis(); + totalSeqRuntime += endTime - startTime; + System.out.println("ForkJoin result: Found " + forkJoinResult + + " primes in " + (double)(endTime - startTime)/1000 + " sec"); + + } // for testRound + System.out.println(); + System.out.println("Average SEQ time after " + N_TESTS + " tests = " + ((double)totalSeqRuntime)/(1000*N_TESTS) + " sec"); + } +} diff --git a/u08-2/tree.ser b/u08-2/tree.ser new file mode 100644 index 0000000000000000000000000000000000000000..ffa521acd9bffde9ec06b8fceef6e76fb7d3a5e1 GIT binary patch literal 4500117 zcmaH!b+~5L(d^F)3^Lf@?rzE85S-xdEQYw!Ke)t~eY*kkv;iPzbE$dI*%?!5Mp-G&a?WzX%m*lEVq zcHMf&tjnyu_4-$w_|8auqpa9BV5cE_4cTeMzEO7>y7QJpc3-7$l%0lbv*(_Dldkf= z8!xg--+-*&q_ck4T-ueZz1Il&` 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