From 1384f1fb17a2fa29b6cd7fb53b650f959e586fd5 Mon Sep 17 00:00:00 2001
From: Matt Bovel <matthieu@bovel.net>
Date: Tue, 3 May 2022 20:04:09 +0200
Subject: [PATCH] Add midterm solutions
---
previous-exams/2022-midterm-code/.gitignore | 7 +
.../2022-midterm-code/.scalafmt.conf | 4 +
previous-exams/2022-midterm-code/Readme.md | 41 +
.../CollectionBenchmarkResults.json | 8260 ++++++++++++++++
.../CollectionBenchmarkResults.txt | 33 +
.../CollectionBenchmarkResults_drop.json | 4132 ++++++++
.../CollectionBenchmarkResults_drop.png | Bin 0 -> 208446 bytes
.../CollectionBenchmarkResults_take.json | 4132 ++++++++
.../CollectionBenchmarkResults_take.png | Bin 0 -> 240682 bytes
.../bench-results/Part2BenchmarkResults.json | 8292 +++++++++++++++++
.../bench-results/Part2BenchmarkResults.png | Bin 0 -> 558624 bytes
previous-exams/2022-midterm-code/build.sbt | 19 +
.../2022-midterm-code/project/plugins.sbt | 2 +
.../bench/AbstractCollectionBenchmark.scala | 23 +
.../scala/bench/CollectionBenchmark.scala | 12 +
.../src/main/scala/bench/Part2Benchmark.scala | 20 +
.../src/main/scala/midterm/Mock1.scala | 14 +
.../src/main/scala/midterm/Mock2.scala | 20 +
.../src/main/scala/midterm/Part1.scala | 45 +
.../src/main/scala/midterm/Part2.scala | 45 +
.../src/main/scala/midterm/Part3.scala | 14 +
.../src/main/scala/midterm/Part4.scala | 22 +
.../src/main/scala/midterm/Part6.scala | 20 +
.../src/main/scala/midterm/Part7.scala | 47 +
.../src/main/scala/midterm/Part8.scala | 85 +
.../src/main/scala/midterm/common.scala | 30 +
.../midterm/instrumentation/Monitor.scala | 40 +
.../src/test/scala/midterm/Mock2Test.scala | 29 +
.../src/test/scala/midterm/Part1Test.scala | 26 +
.../src/test/scala/midterm/Part2Test.scala | 24 +
.../src/test/scala/midterm/Part4Test.scala | 250 +
.../src/test/scala/midterm/Part6Test.scala | 33 +
.../src/test/scala/midterm/Part7Test.scala | 89 +
.../src/test/scala/midterm/Part8Test.scala | 378 +
.../instrumentation/MockedMonitor.scala | 46 +
.../midterm/instrumentation/Scheduler.scala | 276 +
.../scala/midterm/instrumentation/Stats.scala | 19 +
.../midterm/instrumentation/TestHelper.scala | 112 +
.../midterm/instrumentation/TestUtils.scala | 33 +
previous-exams/2022-midterm-solutions.pdf | Bin 0 -> 364145 bytes
previous-exams/2022-midterm.pdf | Bin 0 -> 362616 bytes
41 files changed, 26674 insertions(+)
create mode 100644 previous-exams/2022-midterm-code/.gitignore
create mode 100644 previous-exams/2022-midterm-code/.scalafmt.conf
create mode 100644 previous-exams/2022-midterm-code/Readme.md
create mode 100644 previous-exams/2022-midterm-code/bench-results/CollectionBenchmarkResults.json
create mode 100644 previous-exams/2022-midterm-code/bench-results/CollectionBenchmarkResults.txt
create mode 100644 previous-exams/2022-midterm-code/bench-results/CollectionBenchmarkResults_drop.json
create mode 100644 previous-exams/2022-midterm-code/bench-results/CollectionBenchmarkResults_drop.png
create mode 100644 previous-exams/2022-midterm-code/bench-results/CollectionBenchmarkResults_take.json
create mode 100644 previous-exams/2022-midterm-code/bench-results/CollectionBenchmarkResults_take.png
create mode 100644 previous-exams/2022-midterm-code/bench-results/Part2BenchmarkResults.json
create mode 100644 previous-exams/2022-midterm-code/bench-results/Part2BenchmarkResults.png
create mode 100644 previous-exams/2022-midterm-code/build.sbt
create mode 100644 previous-exams/2022-midterm-code/project/plugins.sbt
create mode 100644 previous-exams/2022-midterm-code/src/main/scala/bench/AbstractCollectionBenchmark.scala
create mode 100644 previous-exams/2022-midterm-code/src/main/scala/bench/CollectionBenchmark.scala
create mode 100644 previous-exams/2022-midterm-code/src/main/scala/bench/Part2Benchmark.scala
create mode 100644 previous-exams/2022-midterm-code/src/main/scala/midterm/Mock1.scala
create mode 100644 previous-exams/2022-midterm-code/src/main/scala/midterm/Mock2.scala
create mode 100644 previous-exams/2022-midterm-code/src/main/scala/midterm/Part1.scala
create mode 100644 previous-exams/2022-midterm-code/src/main/scala/midterm/Part2.scala
create mode 100644 previous-exams/2022-midterm-code/src/main/scala/midterm/Part3.scala
create mode 100644 previous-exams/2022-midterm-code/src/main/scala/midterm/Part4.scala
create mode 100644 previous-exams/2022-midterm-code/src/main/scala/midterm/Part6.scala
create mode 100644 previous-exams/2022-midterm-code/src/main/scala/midterm/Part7.scala
create mode 100644 previous-exams/2022-midterm-code/src/main/scala/midterm/Part8.scala
create mode 100644 previous-exams/2022-midterm-code/src/main/scala/midterm/common.scala
create mode 100644 previous-exams/2022-midterm-code/src/main/scala/midterm/instrumentation/Monitor.scala
create mode 100644 previous-exams/2022-midterm-code/src/test/scala/midterm/Mock2Test.scala
create mode 100644 previous-exams/2022-midterm-code/src/test/scala/midterm/Part1Test.scala
create mode 100644 previous-exams/2022-midterm-code/src/test/scala/midterm/Part2Test.scala
create mode 100644 previous-exams/2022-midterm-code/src/test/scala/midterm/Part4Test.scala
create mode 100644 previous-exams/2022-midterm-code/src/test/scala/midterm/Part6Test.scala
create mode 100644 previous-exams/2022-midterm-code/src/test/scala/midterm/Part7Test.scala
create mode 100644 previous-exams/2022-midterm-code/src/test/scala/midterm/Part8Test.scala
create mode 100644 previous-exams/2022-midterm-code/src/test/scala/midterm/instrumentation/MockedMonitor.scala
create mode 100644 previous-exams/2022-midterm-code/src/test/scala/midterm/instrumentation/Scheduler.scala
create mode 100644 previous-exams/2022-midterm-code/src/test/scala/midterm/instrumentation/Stats.scala
create mode 100644 previous-exams/2022-midterm-code/src/test/scala/midterm/instrumentation/TestHelper.scala
create mode 100644 previous-exams/2022-midterm-code/src/test/scala/midterm/instrumentation/TestUtils.scala
create mode 100644 previous-exams/2022-midterm-solutions.pdf
create mode 100644 previous-exams/2022-midterm.pdf
diff --git a/previous-exams/2022-midterm-code/.gitignore b/previous-exams/2022-midterm-code/.gitignore
new file mode 100644
index 0000000..99dff86
--- /dev/null
+++ b/previous-exams/2022-midterm-code/.gitignore
@@ -0,0 +1,7 @@
+.vscode
+.metals
+.bloop
+.bsp
+target
+metals.sbt
+build.properties
diff --git a/previous-exams/2022-midterm-code/.scalafmt.conf b/previous-exams/2022-midterm-code/.scalafmt.conf
new file mode 100644
index 0000000..1cea524
--- /dev/null
+++ b/previous-exams/2022-midterm-code/.scalafmt.conf
@@ -0,0 +1,4 @@
+version = "3.4.0"
+runner.dialect = scala3
+rewrite.scala3.convertToNewSyntax = true
+rewrite.scala3.removeOptionalBraces = true
diff --git a/previous-exams/2022-midterm-code/Readme.md b/previous-exams/2022-midterm-code/Readme.md
new file mode 100644
index 0000000..fd3b3dc
--- /dev/null
+++ b/previous-exams/2022-midterm-code/Readme.md
@@ -0,0 +1,41 @@
+# How to run
+
+This folder contains the code of most of the exercises of the midterm, along with tests and comments.
+
+- Questions 1-3: [Part1.scala](src/main/scala/midterm/Part1.scala)
+- Questions 4-7: [Part2.scala](src/main/scala/midterm/Part2.scala)
+- Question 8: [Part3.scala](src/main/scala/midterm/Part3.scala)
+- Questions 9-15: [Part4.scala](src/main/scala/midterm/Part4.scala)
+- Question 21: [Part6.scala](src/main/scala/midterm/Part6.scala)
+- Questions 22-24: [Part7.scala](src/main/scala/midterm/Part7.scala)
+- Question 25: [Part8.scala](src/main/scala/midterm/Part8.scala)
+
+## Test
+
+```
+sbt test
+```
+
+or to run a specific suite:
+
+```
+sbt testOnly midterm.Part1Test
+```
+
+## Run a main function
+
+```
+sbt runMain midterm.part1
+```
+
+## Format
+
+```
+sbt scalafmt
+```
+
+## Benchmark
+
+```
+sbt jmh:run -bm ss -i 40 -wi 5 -rf JSON -rff CollectionsBenchmarkResults.json bench.CollectionBenchmark
+```
diff --git a/previous-exams/2022-midterm-code/bench-results/CollectionBenchmarkResults.json b/previous-exams/2022-midterm-code/bench-results/CollectionBenchmarkResults.json
new file mode 100644
index 0000000..36b3ee3
--- /dev/null
+++ b/previous-exams/2022-midterm-code/bench-results/CollectionBenchmarkResults.json
@@ -0,0 +1,8260 @@
+[
+ {
+ "jmhVersion" : "1.32",
+ "benchmark" : "bench.CollectionBenchmark.drop",
+ "mode" : "ss",
+ "threads" : 1,
+ "forks" : 5,
+ "jvm" : "/usr/local/Cellar/openjdk@8/1.8.0+322/libexec/openjdk.jdk/Contents/Home/jre/bin/java",
+ "jvmArgs" : [
+ ],
+ "jdkVersion" : "1.8.0_322",
+ "vmName" : "OpenJDK 64-Bit Server VM",
+ "vmVersion" : "25.322-b00",
+ "warmupIterations" : 5,
+ "warmupTime" : "single-shot",
+ "warmupBatchSize" : 1,
+ "measurementIterations" : 40,
+ "measurementTime" : "single-shot",
+ "measurementBatchSize" : 1,
+ "params" : {
+ "collection" : "Vector",
+ "size" : "10000"
+ },
+ "primaryMetric" : {
+ "score" : 1.3138780000000006E-5,
+ "scoreError" : 1.528127842192391E-6,
+ "scoreConfidence" : [
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+ 1.4666907842192397E-5
+ ],
+ "scorePercentiles" : {
+ "0.0" : 6.417E-6,
+ "50.0" : 1.0846499999999999E-5,
+ "90.0" : 2.1913700000000007E-5,
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diff --git a/previous-exams/2022-midterm-code/bench-results/CollectionBenchmarkResults.txt b/previous-exams/2022-midterm-code/bench-results/CollectionBenchmarkResults.txt
new file mode 100644
index 0000000..3902613
--- /dev/null
+++ b/previous-exams/2022-midterm-code/bench-results/CollectionBenchmarkResults.txt
@@ -0,0 +1,33 @@
+[info] Benchmark (collection) (size) Mode Cnt Score Error Units
+[info] CollectionBenchmark.drop Vector 10000 ss 200 ≈ 10â»âµ s/op
+[info] CollectionBenchmark.drop Vector 100000 ss 200 ≈ 10â»âµ s/op
+[info] CollectionBenchmark.drop Vector 1000000 ss 200 ≈ 10â»âµ s/op
+[info] CollectionBenchmark.drop Vector 10000000 ss 200 ≈ 10â»âµ s/op
+[info] CollectionBenchmark.drop Array 10000 ss 200 ≈ 10â»â´ s/op
+[info] CollectionBenchmark.drop Array 100000 ss 200 ≈ 10â»â´ s/op
+[info] CollectionBenchmark.drop Array 1000000 ss 200 0.003 ± 0.001 s/op
+[info] CollectionBenchmark.drop Array 10000000 ss 200 0.019 ± 0.002 s/op
+[info] CollectionBenchmark.drop ArrayBuffer 10000 ss 200 ≈ 10â»â´ s/op
+[info] CollectionBenchmark.drop ArrayBuffer 100000 ss 200 ≈ 10â»â´ s/op
+[info] CollectionBenchmark.drop ArrayBuffer 1000000 ss 200 0.002 ± 0.001 s/op
+[info] CollectionBenchmark.drop ArrayBuffer 10000000 ss 200 0.017 ± 0.007 s/op
+[info] CollectionBenchmark.drop List 10000 ss 200 ≈ 10â»â´ s/op
+[info] CollectionBenchmark.drop List 100000 ss 200 ≈ 10â»â´ s/op
+[info] CollectionBenchmark.drop List 1000000 ss 200 0.002 ± 0.001 s/op
+[info] CollectionBenchmark.drop List 10000000 ss 200 0.024 ± 0.001 s/op
+[info] CollectionBenchmark.take Vector 10000 ss 200 ≈ 10â»âµ s/op
+[info] CollectionBenchmark.take Vector 100000 ss 200 ≈ 10â»âµ s/op
+[info] CollectionBenchmark.take Vector 1000000 ss 200 ≈ 10â»âµ s/op
+[info] CollectionBenchmark.take Vector 10000000 ss 200 ≈ 10â»âµ s/op
+[info] CollectionBenchmark.take Array 10000 ss 200 ≈ 10â»â´ s/op
+[info] CollectionBenchmark.take Array 100000 ss 200 ≈ 10â»â´ s/op
+[info] CollectionBenchmark.take Array 1000000 ss 200 0.003 ± 0.001 s/op
+[info] CollectionBenchmark.take Array 10000000 ss 200 0.018 ± 0.002 s/op
+[info] CollectionBenchmark.take ArrayBuffer 10000 ss 200 ≈ 10â»â´ s/op
+[info] CollectionBenchmark.take ArrayBuffer 100000 ss 200 ≈ 10â»â´ s/op
+[info] CollectionBenchmark.take ArrayBuffer 1000000 ss 200 0.003 ± 0.001 s/op
+[info] CollectionBenchmark.take ArrayBuffer 10000000 ss 200 0.019 ± 0.007 s/op
+[info] CollectionBenchmark.take List 10000 ss 200 ≈ 10â»â´ s/op
+[info] CollectionBenchmark.take List 100000 ss 200 0.001 ± 0.001 s/op
+[info] CollectionBenchmark.take List 1000000 ss 200 0.004 ± 0.003 s/op
+[info] CollectionBenchmark.take List 10000000 ss 200 0.460 ± 0.237 s/op
diff --git a/previous-exams/2022-midterm-code/bench-results/CollectionBenchmarkResults_drop.json b/previous-exams/2022-midterm-code/bench-results/CollectionBenchmarkResults_drop.json
new file mode 100644
index 0000000..92c013f
--- /dev/null
+++ b/previous-exams/2022-midterm-code/bench-results/CollectionBenchmarkResults_drop.json
@@ -0,0 +1,4132 @@
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diff --git a/previous-exams/2022-midterm-code/bench-results/CollectionBenchmarkResults_take.json b/previous-exams/2022-midterm-code/bench-results/CollectionBenchmarkResults_take.json
new file mode 100644
index 0000000..281eaae
--- /dev/null
+++ b/previous-exams/2022-midterm-code/bench-results/CollectionBenchmarkResults_take.json
@@ -0,0 +1,4132 @@
+[
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diff --git a/previous-exams/2022-midterm-code/bench-results/CollectionBenchmarkResults_take.png b/previous-exams/2022-midterm-code/bench-results/CollectionBenchmarkResults_take.png
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diff --git a/previous-exams/2022-midterm-code/bench-results/Part2BenchmarkResults.json b/previous-exams/2022-midterm-code/bench-results/Part2BenchmarkResults.json
new file mode 100644
index 0000000..ef72259
--- /dev/null
+++ b/previous-exams/2022-midterm-code/bench-results/Part2BenchmarkResults.json
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HcmV?d00001
diff --git a/previous-exams/2022-midterm-code/build.sbt b/previous-exams/2022-midterm-code/build.sbt
new file mode 100644
index 0000000..674678d
--- /dev/null
+++ b/previous-exams/2022-midterm-code/build.sbt
@@ -0,0 +1,19 @@
+val scala3Version = "3.1.2"
+
+enablePlugins(JmhPlugin)
+
+lazy val root = project
+ .in(file("."))
+ .settings(
+ name := "code",
+ version := "0.1.0-SNAPSHOT",
+
+ scalaVersion := scala3Version,
+
+ libraryDependencies += "org.scala-lang.modules" %% "scala-parallel-collections" % "1.0.3",
+ libraryDependencies += "junit" % "junit" % "4.13" % Test,
+ libraryDependencies += "com.github.sbt" % "junit-interface" % "0.13.3" % Test,
+
+ Test / parallelExecution := false,
+ Test / testOptions += Tests.Argument(TestFrameworks.JUnit)
+ )
diff --git a/previous-exams/2022-midterm-code/project/plugins.sbt b/previous-exams/2022-midterm-code/project/plugins.sbt
new file mode 100644
index 0000000..967e66f
--- /dev/null
+++ b/previous-exams/2022-midterm-code/project/plugins.sbt
@@ -0,0 +1,2 @@
+addSbtPlugin("pl.project13.scala" % "sbt-jmh" % "0.4.3")
+addSbtPlugin("org.scalameta" % "sbt-scalafmt" % "2.4.6")
diff --git a/previous-exams/2022-midterm-code/src/main/scala/bench/AbstractCollectionBenchmark.scala b/previous-exams/2022-midterm-code/src/main/scala/bench/AbstractCollectionBenchmark.scala
new file mode 100644
index 0000000..85e89d4
--- /dev/null
+++ b/previous-exams/2022-midterm-code/src/main/scala/bench/AbstractCollectionBenchmark.scala
@@ -0,0 +1,23 @@
+package bench
+
+import org.openjdk.jmh.annotations.*
+
+@State(Scope.Benchmark)
+//@Fork(jvmArgsAppend = Array("-Djava.util.concurrent.ForkJoinPool.common.parallelism=4"))
+abstract class AbstractCollectionBenchmark:
+ @Param(Array("10000", "100000", "1000000", "10000000"))
+ var size: Int = _
+
+ @Param(Array("Vector", "Array", "ArrayBuffer", "List"))
+ var collection: String = _
+
+ var haystack: Iterable[Int] = _
+
+ @Setup(Level.Invocation)
+ def setup() =
+ val gen = (1 to (size * 2) by 2)
+ haystack = collection match
+ case "Vector" => gen.toVector
+ case "Array" => gen.toArray
+ case "ArrayBuffer" => gen.toBuffer
+ case "List" => gen.toList
diff --git a/previous-exams/2022-midterm-code/src/main/scala/bench/CollectionBenchmark.scala b/previous-exams/2022-midterm-code/src/main/scala/bench/CollectionBenchmark.scala
new file mode 100644
index 0000000..ab8dec0
--- /dev/null
+++ b/previous-exams/2022-midterm-code/src/main/scala/bench/CollectionBenchmark.scala
@@ -0,0 +1,12 @@
+package bench
+
+import org.openjdk.jmh.annotations.*
+
+class CollectionBenchmark extends AbstractCollectionBenchmark:
+ @Benchmark
+ def take() =
+ haystack.take(size / 2)
+
+ @Benchmark
+ def drop() =
+ haystack.drop(size / 2)
diff --git a/previous-exams/2022-midterm-code/src/main/scala/bench/Part2Benchmark.scala b/previous-exams/2022-midterm-code/src/main/scala/bench/Part2Benchmark.scala
new file mode 100644
index 0000000..6ab9977
--- /dev/null
+++ b/previous-exams/2022-midterm-code/src/main/scala/bench/Part2Benchmark.scala
@@ -0,0 +1,20 @@
+package bench
+
+import midterm.contains
+
+import org.openjdk.jmh.annotations.*
+
+class MidtermPart2Benchmark extends AbstractCollectionBenchmark:
+ val needle = 10
+
+ @Param(Array("true", "false"))
+ var parallel: Boolean = _
+
+ @Setup(Level.Invocation)
+ override def setup() =
+ super.setup()
+ midterm.parallelismEnabled = parallel
+
+ @Benchmark
+ def containsBenchmark() =
+ contains(haystack, needle)
diff --git a/previous-exams/2022-midterm-code/src/main/scala/midterm/Mock1.scala b/previous-exams/2022-midterm-code/src/main/scala/midterm/Mock1.scala
new file mode 100644
index 0000000..b24f3b4
--- /dev/null
+++ b/previous-exams/2022-midterm-code/src/main/scala/midterm/Mock1.scala
@@ -0,0 +1,14 @@
+package midterm
+
+import scala.collection.mutable.Set
+
+@main def mock1() =
+ val values = Set[Int]()
+ for _ <- 1 to 100000 do
+ var sum = 0
+ val t1 = task { sum += 1 }
+ val t2 = task { sum += 1 }
+ t1.join()
+ t2.join()
+ values += sum
+ println(values)
diff --git a/previous-exams/2022-midterm-code/src/main/scala/midterm/Mock2.scala b/previous-exams/2022-midterm-code/src/main/scala/midterm/Mock2.scala
new file mode 100644
index 0000000..906edbb
--- /dev/null
+++ b/previous-exams/2022-midterm-code/src/main/scala/midterm/Mock2.scala
@@ -0,0 +1,20 @@
+package midterm
+
+import midterm.instrumentation.Monitor
+
+class Account(private var amount: Int = 0) extends Monitor:
+ def transfer(target: Account, n: Int) =
+ this.synchronized {
+ target.synchronized {
+ this.amount -= n
+ target.amount += n
+ }
+ }
+
+@main def mock2() =
+ val a = new Account(50)
+ val b = new Account(70)
+ val t1 = task { a.transfer(b, 10) }
+ val t2 = task { b.transfer(a, 10) }
+ t1.join()
+ t2.join()
diff --git a/previous-exams/2022-midterm-code/src/main/scala/midterm/Part1.scala b/previous-exams/2022-midterm-code/src/main/scala/midterm/Part1.scala
new file mode 100644
index 0000000..cb807a6
--- /dev/null
+++ b/previous-exams/2022-midterm-code/src/main/scala/midterm/Part1.scala
@@ -0,0 +1,45 @@
+package midterm
+
+import scala.collection.parallel.Task
+import scala.collection.parallel.CollectionConverters.*
+
+// Questions 1-3
+
+// See tests in midterm.Part1Test.
+// Run with `sbt testOnly midterm.Part1Test`.
+
+def parallel3[A, B, C](op1: => A, op2: => B, op3: => C): (A, B, C) =
+ val res1 = task { op1 }
+ val res2 = task { op2 }
+ val res3 = op3
+ (res1.join(), res2.join(), res3)
+
+def find(arr: Array[Int], value: Int, threshold: Int): Option[Int] =
+ def findHelper(start: Int, end: Int): Option[Int] =
+ if end - start <= threshold then
+ var i = start
+ while i < end do
+ if arr(i) == value then return Some(value)
+ i += 1
+ None
+ else
+ val inc = (end - start) / 3
+ val (res1, res2, res3) = parallel3(
+ findHelper(start, start + inc),
+ findHelper(start + inc, start + 2 * inc),
+ findHelper(start + 2 * inc, end)
+ )
+ res1.orElse(res2).orElse(res3)
+ findHelper(0, arr.size)
+
+def findAggregated(arr: Array[Int], value: Int): Option[Int] =
+ val no: Option[Int] = None
+ val yes: Option[Int] = Some(value)
+ def f = (x1: Option[Int], x2: Int) => if x2 == value then Some(x2) else x1
+ def g = (x1: Option[Int], x2: Option[Int]) => if x1 != None then x1 else x2
+ arr.par.aggregate(no)(f, g)
+
+@main def part1() =
+ println(find(Array(1, 2, 3), 2, 1))
+
+// See tests in Part1Test
diff --git a/previous-exams/2022-midterm-code/src/main/scala/midterm/Part2.scala b/previous-exams/2022-midterm-code/src/main/scala/midterm/Part2.scala
new file mode 100644
index 0000000..afecb30
--- /dev/null
+++ b/previous-exams/2022-midterm-code/src/main/scala/midterm/Part2.scala
@@ -0,0 +1,45 @@
+package midterm
+
+// Questions 4-7
+
+// See tests in midterm.Part2Test.
+// Run with `sbt testOnly midterm.Part2Test`.
+
+/*
+Answers to the exam questions:
+ When called with a Vector:
+ The total amount of work is O(n), as it is dominated by the time needed to
+ read the array. More precisely W(n) = c + 2*W(n/2) = O(n).
+
+ The depth is O(log(n)), because every recursion takes constant time
+ and we divide the size of the input by 2 every time, i.e. D(n) = c + D(n/2) = O(log(n)).
+
+ Note however that in practice it is often still faster to manipulate
+ start and end indices rather than using take and drop.
+
+ When called with a List:
+ Every recursion takes up to time O(n) rather than constant time.
+
+ The total amount of work is O(n) times the number of recursion, because
+ take and drop takes time O(n) on lists. Precisely, W(n) = n + 2*W(n/2) = O(log(n)*n)
+
+ The depth is computed similarly: D(n) = n + D(n/2) = O(n), i.e.
+
+Note: these are theoretical results. In practice, you should always double-check
+that kind of conclusions with benchmarks. We did so in
+`midterm-code/src/main/scala/bench`. Results are available in `bench-results`.
+From these results, we can conclude that
+1. Vectors are indeed faster in this case, and
+2. parallelization of `contains` yields a 2x speedup.
+ */
+def contains[A](l: Iterable[A], elem: A): Boolean =
+ val n = l.size
+ if n <= 5 then
+ for i <- l do if i == elem then return true
+ false
+ else
+ val (p0, p1) = parallel(
+ contains(l.take(n / 2), elem),
+ contains(l.drop(n / 2), elem)
+ )
+ p0 || p1
diff --git a/previous-exams/2022-midterm-code/src/main/scala/midterm/Part3.scala b/previous-exams/2022-midterm-code/src/main/scala/midterm/Part3.scala
new file mode 100644
index 0000000..6d68fc4
--- /dev/null
+++ b/previous-exams/2022-midterm-code/src/main/scala/midterm/Part3.scala
@@ -0,0 +1,14 @@
+package midterm
+
+// Question 8
+
+// Run with `sbt runMain midterm.part3`
+
+@main def part3() =
+ def thread(b: => Unit) =
+ val t = new Thread:
+ override def run() = b
+ t
+ val t = thread { println(s"Hello World") }
+ t.join()
+ println(s"Hello")
diff --git a/previous-exams/2022-midterm-code/src/main/scala/midterm/Part4.scala b/previous-exams/2022-midterm-code/src/main/scala/midterm/Part4.scala
new file mode 100644
index 0000000..30762c2
--- /dev/null
+++ b/previous-exams/2022-midterm-code/src/main/scala/midterm/Part4.scala
@@ -0,0 +1,22 @@
+package midterm
+
+import java.util.concurrent.atomic.AtomicInteger
+import instrumentation.*
+
+// Questions 9-15
+
+// See tests in midterm.Part4Test.
+// Run with `sbt testOnly midterm.Part4Test`.
+
+class Node(
+ // Globally unique identifier. Different for each instance.
+ val guid: Int
+) extends Monitor
+
+// This function might be called concurrently.
+def lockFun(nodes: List[Node], fn: (e: Int) => Unit): Unit =
+ if nodes.size > 0 then
+ nodes.head.synchronized {
+ fn(nodes(0).guid)
+ lockFun(nodes.tail, fn)
+ }
diff --git a/previous-exams/2022-midterm-code/src/main/scala/midterm/Part6.scala b/previous-exams/2022-midterm-code/src/main/scala/midterm/Part6.scala
new file mode 100644
index 0000000..a2be134
--- /dev/null
+++ b/previous-exams/2022-midterm-code/src/main/scala/midterm/Part6.scala
@@ -0,0 +1,20 @@
+package midterm
+
+import midterm.instrumentation.Monitor
+
+// Question 21
+
+// See tests in midterm.Part6Test.
+// Run with `sbt testOnly midterm.Part6Test`.
+
+class TicketsManager(totalTickets: Int) extends Monitor:
+ var remainingTickets = totalTickets
+
+ // This method might be called concurrently
+ def getTicket(): Boolean =
+ if remainingTickets > 0 then
+ this.synchronized {
+ remainingTickets -= 1
+ }
+ true
+ else false
diff --git a/previous-exams/2022-midterm-code/src/main/scala/midterm/Part7.scala b/previous-exams/2022-midterm-code/src/main/scala/midterm/Part7.scala
new file mode 100644
index 0000000..3ec642a
--- /dev/null
+++ b/previous-exams/2022-midterm-code/src/main/scala/midterm/Part7.scala
@@ -0,0 +1,47 @@
+package midterm
+
+import midterm.instrumentation.Monitor
+
+// Questions 22-24
+
+// See tests in midterm.Part7Test.
+// Run with `sbt testOnly midterm.Part7Test`.
+
+class NIC(private val _index: Int, private var _assigned: Boolean)
+ extends Monitor:
+ def index = _index
+ def assigned = _assigned
+ def assigned_=(v: Boolean) = _assigned = v
+
+class NICManager(n: Int):
+ // Creates a list with n NICs
+ val nics = (for i <- 0 until n yield NIC(i, false)).toList
+
+ // This method might be called concurrently
+ def assignNICs(limitRecvNICs: Boolean = false): (Int, Int) =
+ var recvNIC: Int = 0
+ var sendNIC: Int = 0
+ var gotRecvNIC: Boolean = false
+ var gotSendNIC: Boolean = false
+
+ /// Obtaining receiving NIC...
+ while !gotRecvNIC do
+ nics(recvNIC).synchronized {
+ if !nics(recvNIC).assigned then
+ nics(recvNIC).assigned = true
+ gotRecvNIC = true
+ else recvNIC = (recvNIC + 1) % (if limitRecvNICs then n - 1 else n)
+ }
+ // Successfully obtained receiving NIC
+
+ // Obtaining sending NIC...
+ while !gotSendNIC do
+ nics(sendNIC).synchronized {
+ if !nics(sendNIC).assigned then
+ nics(sendNIC).assigned = true
+ gotSendNIC = true
+ else sendNIC = (sendNIC + 1) % n
+ }
+ // Successfully obtained sending NIC
+
+ return (recvNIC, sendNIC)
diff --git a/previous-exams/2022-midterm-code/src/main/scala/midterm/Part8.scala b/previous-exams/2022-midterm-code/src/main/scala/midterm/Part8.scala
new file mode 100644
index 0000000..4a5ea66
--- /dev/null
+++ b/previous-exams/2022-midterm-code/src/main/scala/midterm/Part8.scala
@@ -0,0 +1,85 @@
+package midterm
+
+import scala.collection.concurrent.{TrieMap, Map}
+import java.util.concurrent.atomic.AtomicInteger
+import scala.annotation.tailrec
+
+// Question 25
+
+// See tests in midterm.Part8Test.
+// Run with `sbt testOnly midterm.Part8Test`.
+
+// Represent a social network where user can follow each other. Each user is
+// represented by an id that is an `Int`.
+abstract class AbstractInstagram:
+ // The map storing the "following" relation of our social network.
+ // `graph(a)` contains the list of user ids that user `a` follows.
+ val graph: Map[Int, List[Int]] = new TrieMap[Int, List[Int]]()
+
+ // The maximum user id allocated until now. This value should be incremented
+ // by one each time a new user is added.
+ val maxId = new AtomicInteger(0)
+
+ // Allocates a new user and returns its unique id. Internally, this should
+ // also create an empty list at the corresponding id in `graph`. The
+ // implementation must be thread-safe.
+ def add(): Int
+
+ // Make `a` follow `b`. The implementation must be thread-safe.
+ def follow(a: Int, b: Int): Unit
+
+ // Makes `a` unfollow `b`. The implementation must be thread-safe.
+ def unfollow(a: Int, b: Int): Unit
+
+ // Removes user with id `a`. This should also remove all references to `a`
+ // in `graph`. The implementation must be thread-safe.
+ def remove(a: Int): Unit
+
+class Instagram extends AbstractInstagram:
+ // This method is worth 6 points.
+ def add(): Int =
+ // It is important to increment and read the value in one atomic step. See
+ // test `testParallelWrongAdd` for an alternative wrong implementation.
+ val id = maxId.incrementAndGet
+ // Note: it is also correct to use `graph.putIfAbsent`, but not needed as
+ // `id` is always new and therefore absent from the map at this point.
+ graph.update(id, Nil)
+ id
+
+ // This method is worth 8 points.
+ def remove(a: Int): Unit =
+ graph.remove(a)
+ // Iterate through all keys to make sure that nobody follows `a` anymore.
+ // For each key, we need to unfollow a in a thread-safe manner. Calling
+ // `unfollow` is the simplest way to so, as it is already guaranteed to be
+ // thread-safe. See test `testParallelWrongRemove` for an example of wrong
+ // implementation.
+ for b <- graph.keys do unfollow(b, a)
+
+ // This method is worth 10 points.
+ def unfollow(a: Int, b: Int) =
+ // Here, it is important to read the value only once. First calling
+ // `.contains(a)` and then `graph(a)` (or `graph.apply(a)`--which is the
+ // same thing) does not work because `a` might be removed between the two
+ // calls. See `testParallelWrongUnfollow` for an example of this wrong
+ // implementation.
+ val prev = graph.get(a)
+ // Returns silently if `a` does not exist.
+ if prev.isEmpty then return
+ // We replace the list of users that `a` follows in an atomic manner. If the
+ // list of followed users changed concurrently, we start over.
+ if !graph.replace(a, prev.get, prev.get.filter(_ != b)) then unfollow(a, b)
+
+ // This method is worth 12 points.
+ def follow(a: Int, b: Int) =
+ val prev = graph.get(a)
+ // Returns silently if `a` does not exist.
+ if prev.isEmpty then return
+ // We replace the list of users that `a` follows in an atomic manner. If the
+ // list of followed users changed concurrently, we start over.
+ if !graph.replace(a, prev.get, b :: prev.get) then follow(a, b)
+ // Difficult: this handles the case where `b` is concurrently removed by
+ // another thread. To detect this case, we must check if `b` still exists
+ // after we have followed it, and unfollow it if it is not the case. See
+ // test `testParallelFollowABRemoveB`. This last step is worth 4 points.
+ else if !graph.contains(b) then unfollow(a, b)
diff --git a/previous-exams/2022-midterm-code/src/main/scala/midterm/common.scala b/previous-exams/2022-midterm-code/src/main/scala/midterm/common.scala
new file mode 100644
index 0000000..642a3f4
--- /dev/null
+++ b/previous-exams/2022-midterm-code/src/main/scala/midterm/common.scala
@@ -0,0 +1,30 @@
+package midterm
+
+import java.util.concurrent.ForkJoinTask
+import java.util.concurrent.RecursiveTask
+import java.util.concurrent.ForkJoinWorkerThread
+import java.util.concurrent.ForkJoinPool
+import java.util.concurrent.atomic.AtomicInteger
+
+val forkJoinPool = ForkJoinPool()
+var parallelismEnabled = true
+var tasksCreated: AtomicInteger = AtomicInteger(0)
+
+def schedule[T](body: => T): ForkJoinTask[T] =
+ val t = new RecursiveTask[T]:
+ def compute = body
+ Thread.currentThread match
+ case wt: ForkJoinWorkerThread => t.fork()
+ case _ => forkJoinPool.execute(t)
+ t
+
+def task[T](body: => T): ForkJoinTask[T] =
+ tasksCreated.incrementAndGet
+ schedule(body)
+
+def parallel[A, B](op1: => A, op2: => B): (A, B) =
+ if parallelismEnabled then
+ val res1 = task { op1 }
+ val res2 = op2
+ (res1.join(), res2)
+ else (op1, op2)
diff --git a/previous-exams/2022-midterm-code/src/main/scala/midterm/instrumentation/Monitor.scala b/previous-exams/2022-midterm-code/src/main/scala/midterm/instrumentation/Monitor.scala
new file mode 100644
index 0000000..dfc3a73
--- /dev/null
+++ b/previous-exams/2022-midterm-code/src/main/scala/midterm/instrumentation/Monitor.scala
@@ -0,0 +1,40 @@
+package midterm.instrumentation
+
+class Dummy
+
+trait Monitor:
+ given dummy: Dummy = new Dummy
+
+ def wait()(implicit i: Dummy = dummy) = waitDefault()
+
+ def synchronized[T](e: => T)(implicit i: Dummy = dummy) = synchronizedDefault(
+ e
+ )
+
+ def notify()(implicit i: Dummy = dummy) = notifyDefault()
+
+ def notifyAll()(implicit i: Dummy = dummy) = notifyAllDefault()
+
+ private val lock = new AnyRef
+
+ // Can be overridden.
+ def waitDefault(): Unit = lock.wait()
+ def synchronizedDefault[T](toExecute: => T): T = lock.synchronized(toExecute)
+ def notifyDefault(): Unit = lock.notify()
+ def notifyAllDefault(): Unit = lock.notifyAll()
+
+trait LockFreeMonitor extends Monitor:
+ override def waitDefault() =
+ throw new Exception("Please use lock-free structures and do not use wait()")
+ override def synchronizedDefault[T](toExecute: => T): T =
+ throw new Exception(
+ "Please use lock-free structures and do not use synchronized()"
+ )
+ override def notifyDefault() =
+ throw new Exception(
+ "Please use lock-free structures and do not use notify()"
+ )
+ override def notifyAllDefault() =
+ throw new Exception(
+ "Please use lock-free structures and do not use notifyAll()"
+ )
diff --git a/previous-exams/2022-midterm-code/src/test/scala/midterm/Mock2Test.scala b/previous-exams/2022-midterm-code/src/test/scala/midterm/Mock2Test.scala
new file mode 100644
index 0000000..4d1fab1
--- /dev/null
+++ b/previous-exams/2022-midterm-code/src/test/scala/midterm/Mock2Test.scala
@@ -0,0 +1,29 @@
+package midterm
+
+import org.junit.*
+import org.junit.Assert.*
+import instrumentation.*
+
+class Mock2Test:
+ @Test
+ def test() =
+ TestUtils.assertDeadlock(
+ TestHelper.testManySchedules(
+ 2,
+ scheduler =>
+ val a = new ScheduledAccount(50, scheduler)
+ val b = new ScheduledAccount(70, scheduler)
+
+ (
+ List(
+ () => a.transfer(b, 10),
+ () => b.transfer(a, 10)
+ ),
+ results => (true, "")
+ )
+ )
+ )
+
+ class ScheduledAccount(n: Int, val scheduler: Scheduler)
+ extends Account(n)
+ with MockedMonitor
diff --git a/previous-exams/2022-midterm-code/src/test/scala/midterm/Part1Test.scala b/previous-exams/2022-midterm-code/src/test/scala/midterm/Part1Test.scala
new file mode 100644
index 0000000..8f47c66
--- /dev/null
+++ b/previous-exams/2022-midterm-code/src/test/scala/midterm/Part1Test.scala
@@ -0,0 +1,26 @@
+package midterm
+
+import org.junit.*
+import org.junit.Assert.*
+
+class Part1Test:
+ val testArray =
+ Array(0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19)
+
+ @Test
+ def testQuestion1Pos() =
+ val tasksCreatedBefore = tasksCreated.get
+ assertEquals(Some(18), find(testArray, 18, 3))
+ assertEquals(10, tasksCreated.get - tasksCreatedBefore)
+
+ @Test
+ def testQuestion1Neg() =
+ assertEquals(find(testArray, 20, 3), None)
+
+ @Test
+ def testQuestion2Pos(): Unit =
+ assertEquals(findAggregated(testArray, 18), Some(18))
+
+ @Test
+ def testQuestion2Neg(): Unit =
+ assertEquals(findAggregated(testArray, 20), None)
diff --git a/previous-exams/2022-midterm-code/src/test/scala/midterm/Part2Test.scala b/previous-exams/2022-midterm-code/src/test/scala/midterm/Part2Test.scala
new file mode 100644
index 0000000..2dda7b5
--- /dev/null
+++ b/previous-exams/2022-midterm-code/src/test/scala/midterm/Part2Test.scala
@@ -0,0 +1,24 @@
+package midterm
+
+import org.junit.*
+import org.junit.Assert.*
+
+class Part2Test:
+ val testArray2 = Array(0, 50, 7, 1, 28, 42)
+ val testList2 = List(0, 50, 7, 1, 28, 42)
+
+ @Test
+ def testQuestion4Pos() =
+ assert(contains(testArray2, 7))
+
+ @Test
+ def testQuestion4Neg() =
+ assert(!contains(testArray2, 8))
+
+ @Test
+ def testQuestion6Pos() =
+ assert(contains(testList2, 7))
+
+ @Test
+ def testQuestion6Neg() =
+ assert(!contains(testList2, 8))
diff --git a/previous-exams/2022-midterm-code/src/test/scala/midterm/Part4Test.scala b/previous-exams/2022-midterm-code/src/test/scala/midterm/Part4Test.scala
new file mode 100644
index 0000000..1991cb8
--- /dev/null
+++ b/previous-exams/2022-midterm-code/src/test/scala/midterm/Part4Test.scala
@@ -0,0 +1,250 @@
+package midterm
+
+import midterm.instrumentation.Monitor
+import midterm.instrumentation.MockedMonitor
+
+import org.junit.*
+import org.junit.Assert.*
+import instrumentation.*
+import java.util.concurrent.atomic.AtomicInteger
+
+class Part4Test:
+
+ // This test can result in a deadlock because locks can be called in any
+ // order. Here, Thread 1 locks Node 3 first and then Node 2, whereas Thread 2
+ // locks Node 2 first and then Node 3. This will lead to a deadlock.
+ @Test
+ def testQuestion9() =
+ TestUtils.assertDeadlock(
+ TestHelper.testManySchedules(
+ 2,
+ scheduler =>
+ val allNodes = (for i <- 0 to 6 yield ScheduledNode(i, scheduler)).toList
+
+ // Shared by all threads
+ var sum: Int = 0
+ def increment(e: Int) = sum += e
+
+ (
+ List(
+ () =>
+ // Thread 1
+ var nodes: List[Node] = List(allNodes(1), allNodes(3), allNodes(2), allNodes(4))
+ nodes = nodes
+ lockFun(nodes, increment),
+ () =>
+ // Thread 2
+ var nodes: List[Node] = List(allNodes(5), allNodes(2), allNodes(3))
+ nodes = nodes
+ lockFun(nodes, increment),
+ ),
+ results => (true, "")
+ )
+ )
+ )
+
+ // This will not lead to a deadlock because the lock acquire happens in a
+ // particular order. Thread 1 acquires locks in order 1->2->3->4, whereas
+ // Thread 2 acquires locks in order 2->3->5.
+ @Test
+ def testQuestion10() =
+ TestHelper.testManySchedules(
+ 2,
+ scheduler =>
+ val allNodes = (for i <- 0 to 6 yield ScheduledNode(i, scheduler)).toList
+
+ // Shared by all threads
+ var sum: Int = 0
+ def increment(e: Int) = sum += e
+
+ (
+ List(
+ () =>
+ // Thread 1
+ var nodes: List[Node] = List(allNodes(1), allNodes(3), allNodes(2), allNodes(4))
+ nodes = nodes.sortWith((x, y) => x.guid > y.guid)
+ lockFun(nodes, increment),
+ () =>
+ // Thread 2
+ var nodes: List[Node] = List(allNodes(5), allNodes(2), allNodes(3))
+ nodes = nodes.sortWith((x, y) => x.guid > y.guid)
+ lockFun(nodes, increment),
+ ),
+ results => (true, "")
+ )
+ )
+
+
+ // This will not lead to a deadlock because the lock acquire happens in a
+ // particular order. Thread 1 acquires locks in order 4->3->2->1, whereas
+ // Thread 2 acquires locks in order 5->3->2.
+ @Test
+ def testQuestion11() =
+ TestHelper.testManySchedules(
+ 2,
+ scheduler =>
+ val allNodes = (for i <- 0 to 6 yield ScheduledNode(i, scheduler)).toList
+
+ // Shared by all threads
+ var sum: Int = 0
+ def increment(e: Int) = sum += e
+
+ (
+ List(
+ () =>
+ // Thread 1
+ var nodes: List[Node] = List(allNodes(1), allNodes(3), allNodes(2), allNodes(4))
+ nodes = nodes.sortWith((x, y) => x.guid < y.guid)
+ lockFun(nodes, increment),
+ () =>
+ // Thread 2
+ var nodes: List[Node] = List(allNodes(5), allNodes(2), allNodes(3))
+ nodes = nodes.sortWith((x, y) => x.guid < y.guid)
+ lockFun(nodes, increment),
+ ),
+ results => (true, "")
+ )
+ )
+
+ // This test can result in a deadlock because locks are not called in any
+ // order. Thread 1 acquire order (3->2->4->1), Thread 2 acquire order
+ // (2->3->5). Thread 1 locks Node3 first and then Node2, whereas Thread 2
+ // locks Node 2 first and then Node3. This will lead to a deadlock.
+ @Test
+ def testQuestion12() =
+ TestUtils.assertDeadlock(
+ TestHelper.testManySchedules(
+ 2,
+ scheduler =>
+ val allNodes = (for i <- 0 to 6 yield ScheduledNode(i, scheduler)).toList
+
+ // Shared by all threads
+ var sum: Int = 0
+ def increment(e: Int) = sum += e
+
+ (
+ List(
+ () =>
+ // Thread 1
+ var nodes: List[Node] = List(allNodes(1), allNodes(3), allNodes(2), allNodes(4))
+ nodes = nodes.tail.appended(nodes(0))
+ lockFun(nodes, increment),
+ () =>
+ // Thread 2
+ var nodes: List[Node] = List(allNodes(5), allNodes(2), allNodes(3))
+ nodes = nodes.tail.appended(nodes(0))
+ lockFun(nodes, increment),
+ ),
+ results => (true, "")
+ )
+ )
+ )
+
+ // sum returns wrong answer because there is a data race on the sum variable.
+ @Test(expected = classOf[AssertionError])
+ def testQuestion13() =
+ TestHelper.testManySchedules(
+ 2,
+ scheduler =>
+ val allNodes = (for i <- 0 to 6 yield ScheduledNode(i, scheduler)).toList
+
+ // Shared by all threads
+ var sum: Int = 0
+ def increment(e: Int) =
+ val previousSum = scheduler.exec{sum}("Get sum")
+ scheduler.exec{sum = previousSum + e}("Write sum")
+
+ (
+ List(
+ () =>
+ // Thread 1
+ var nodes: List[Node] = List(allNodes(1), allNodes(3), allNodes(2), allNodes(4))
+ nodes = nodes.sortWith((x, y) => x.guid < y.guid)
+ lockFun(nodes, increment),
+ () =>
+ // Thread 2
+ var nodes: List[Node] = List(allNodes(5), allNodes(2), allNodes(3))
+ nodes = nodes.sortWith((x, y) => x.guid < y.guid)
+ lockFun(nodes, increment),
+ ),
+ results =>
+ if sum != 20 then
+ (false, f"Wrong sum: expected 20 but got $sum")
+ else
+ (true, "")
+ )
+ )
+
+ // sum value will be correct here because "sum += e" is protected by a lock.
+ @Test
+ def testQuestion14() =
+ TestHelper.testManySchedules(
+ 2,
+ sched =>
+ val allNodes = (for i <- 0 to 6 yield ScheduledNode(i, sched)).toList
+
+ val monitor = new MockedMonitor: // Monitor is a type of a lock.
+ def scheduler = sched
+
+ // Shared by all threads
+ var sum: Int = 0
+ def increment(e: Int) =
+ monitor.synchronized { sum += e }
+
+ (
+ List(
+ () =>
+ // Thread 1
+ var nodes: List[Node] = List(allNodes(1), allNodes(3), allNodes(2), allNodes(4))
+ nodes = nodes.sortWith((x, y) => x.guid < y.guid)
+ lockFun(nodes, increment),
+ () =>
+ // Thread 2
+ var nodes: List[Node] = List(allNodes(5), allNodes(2), allNodes(3))
+ nodes = nodes.sortWith((x, y) => x.guid < y.guid)
+ lockFun(nodes, increment),
+ ),
+ results =>
+ if sum != 20 then
+ (false, f"Wrong sum: expected 20 but got $sum")
+ else
+ (true, "")
+ )
+ )
+
+ // total will give correct output here as it is an atomic instruction.
+ @Test
+ def testQuestion15() =
+ TestHelper.testManySchedules(
+ 2,
+ sched =>
+ val allNodes = (for i <- 0 to 6 yield ScheduledNode(i, sched)).toList
+
+ // Shared by all threads
+ var total: AtomicInteger = new AtomicInteger(0)
+ def increment(e: Int) =
+ total.addAndGet(e)
+
+ (
+ List(
+ () =>
+ // Thread 1
+ var nodes: List[Node] = List(allNodes(1), allNodes(3), allNodes(2), allNodes(4))
+ nodes = nodes.sortWith((x, y) => x.guid < y.guid)
+ lockFun(nodes, increment),
+ () =>
+ // Thread 2
+ var nodes: List[Node] = List(allNodes(5), allNodes(2), allNodes(3))
+ nodes = nodes.sortWith((x, y) => x.guid < y.guid)
+ lockFun(nodes, increment),
+ ),
+ results =>
+ if total.get != 20 then
+ (false, f"Wrong total: expected 20 but got $total")
+ else
+ (true, "")
+ )
+ )
+
+
+ class ScheduledNode(value: Int, val scheduler: Scheduler) extends Node(value) with MockedMonitor
diff --git a/previous-exams/2022-midterm-code/src/test/scala/midterm/Part6Test.scala b/previous-exams/2022-midterm-code/src/test/scala/midterm/Part6Test.scala
new file mode 100644
index 0000000..d641234
--- /dev/null
+++ b/previous-exams/2022-midterm-code/src/test/scala/midterm/Part6Test.scala
@@ -0,0 +1,33 @@
+package midterm
+
+import org.junit.*
+import org.junit.Assert.*
+import midterm.instrumentation.*
+
+class Part6Test:
+ @Test(expected = classOf[AssertionError])
+ def testQuestion21() =
+ TestHelper.testManySchedules(
+ 2,
+ scheduler =>
+ val ticketsManager = ScheduledTicketsManager(1, scheduler)
+
+ (
+ List(
+ () =>
+ // Thread 1
+ ticketsManager.getTicket(),
+ () =>
+ // Thread 2
+ ticketsManager.getTicket()
+ ),
+ results =>
+ if ticketsManager.remainingTickets < 0 then
+ (false, "Sold more tickets than available!")
+ else (true, "")
+ )
+ )
+
+ class ScheduledTicketsManager(totalTickets: Int, val scheduler: Scheduler)
+ extends TicketsManager(totalTickets)
+ with MockedMonitor
diff --git a/previous-exams/2022-midterm-code/src/test/scala/midterm/Part7Test.scala b/previous-exams/2022-midterm-code/src/test/scala/midterm/Part7Test.scala
new file mode 100644
index 0000000..e818585
--- /dev/null
+++ b/previous-exams/2022-midterm-code/src/test/scala/midterm/Part7Test.scala
@@ -0,0 +1,89 @@
+package midterm
+
+import org.junit.*
+import org.junit.Assert.*
+import midterm.instrumentation.*
+
+class Part7Test:
+ @Test
+ def testNicManagerSequential() =
+ val nicsManager = NICManager(4)
+ assertEquals((0, 1), nicsManager.assignNICs())
+ assertEquals((2, 3), nicsManager.assignNICs())
+
+ @Test
+ def testQuestion22() =
+ testNicManagerParallel(2, 3)
+
+ @Test
+ def testQuestion23() =
+ val nicsManager = NICManager(2)
+
+ // Thread 1
+ assertEquals((0, 1), nicsManager.assignNICs())
+ nicsManager.nics(0).assigned = false
+ nicsManager.nics(1).assigned = false
+
+ // Thread 2
+ assertEquals((0, 1), nicsManager.assignNICs())
+ nicsManager.nics(0).assigned = false
+ nicsManager.nics(1).assigned = false
+
+ @Test
+ def testQuestion24() =
+ testNicManagerParallel(3, 2, true)
+
+ @Test
+ def testQuestion24NotLimitingRecvNICs() =
+ TestUtils.assertMaybeDeadlock(
+ testNicManagerParallel(3, 2)
+ )
+
+ def testNicManagerParallel(
+ threads: Int,
+ nics: Int,
+ limitRecvNICs: Boolean = false
+ ) =
+ TestHelper.testManySchedules(
+ threads,
+ scheduler =>
+ val nicsManager = ScheduledNicsManager(nics, scheduler)
+ val tasks = for i <- 0 until threads yield () =>
+ // Thread i
+ val (recvNIC, sendNIC) = nicsManager.assignNICs(limitRecvNICs)
+
+ // Do something with NICs...
+
+ // Un-assign NICs
+ nicsManager.nics(recvNIC).assigned = false
+ nicsManager.nics(sendNIC).assigned = false
+ (
+ tasks.toList,
+ results =>
+ if nicsManager.nics.count(_.assigned) != 0 then
+ (false, f"All NICs should have been released.")
+ else (true, "")
+ )
+ )
+
+ class ScheduledNicsManager(n: Int, scheduler: Scheduler)
+ extends NICManager(n):
+ class ScheduledNIC(
+ _index: Int,
+ _assigned: Boolean,
+ val scheduler: Scheduler
+ ) extends NIC(_index, _assigned)
+ with MockedMonitor:
+ override def index = scheduler.exec { super.index }(
+ "",
+ Some(res => f"read NIC.index == $res")
+ )
+ override def assigned = scheduler.exec { super.assigned }(
+ "",
+ Some(res => f"read NIC.assigned == $res")
+ )
+ override def assigned_=(v: Boolean) = scheduler.exec { super.assigned = v }(
+ f"write NIC.assigned = $v"
+ )
+ override val nics =
+ (for i <- 0 until n yield ScheduledNIC(i, false, scheduler)).toList
diff --git a/previous-exams/2022-midterm-code/src/test/scala/midterm/Part8Test.scala b/previous-exams/2022-midterm-code/src/test/scala/midterm/Part8Test.scala
new file mode 100644
index 0000000..6d5a50a
--- /dev/null
+++ b/previous-exams/2022-midterm-code/src/test/scala/midterm/Part8Test.scala
@@ -0,0 +1,378 @@
+package midterm
+
+import org.junit.*
+import org.junit.Assert.*
+import instrumentation.*
+
+import scala.collection.concurrent.TrieMap
+import scala.collection.concurrent.{TrieMap, Map}
+
+class Part8Test:
+ @Test
+ def usage() =
+ val insta = Instagram()
+ assertEquals(1, insta.add())
+ assertEquals(2, insta.add())
+ insta.follow(1, 2)
+ assertEquals(insta.graph, Map(1 -> List(2), 2 -> List()))
+ insta.follow(2, 1)
+ insta.unfollow(1, 2)
+ assertEquals(insta.graph, Map(1 -> List(), 2 -> List(1)))
+ insta.follow(3, 1) // fails silently
+ assertEquals(insta.graph, Map(1 -> List(), 2 -> List(1)))
+ insta.remove(1)
+ assertEquals(insta.graph, Map(2 -> List()))
+ insta.unfollow(1, 2) // fails silently
+
+ @Test
+ def testParallelFollowABRemoveA() =
+ TestHelper.testManySchedules(
+ 2,
+ scheduler =>
+ val insta = new Instagram:
+ override val graph =
+ ScheduledTrieMap(TrieMap[Int, List[Int]](), scheduler)
+
+ val u1 = insta.add()
+ val u2 = insta.add()
+
+ (
+ List(
+ () =>
+ // Thread 1
+ insta.follow(u1, u2),
+ () =>
+ // Thread 2
+ insta.remove(u1)
+ ),
+ results =>
+ val size = insta.graph.size
+ if size != 1 then
+ (false, f"Wrong number of user: expected 1 but got ${size}")
+ else validateGraph(insta)
+ )
+ )
+
+ @Test
+ def testParallelFollowABRemoveB() =
+ TestHelper.testManySchedules(
+ 2,
+ scheduler =>
+ val insta = new Instagram:
+ override val graph =
+ ScheduledTrieMap(TrieMap[Int, List[Int]](), scheduler)
+
+ val u1 = insta.add()
+ val u2 = insta.add()
+
+ (
+ List(
+ () =>
+ // Thread 1
+ insta.follow(u1, u2),
+ () =>
+ // Thread 2
+ insta.remove(u2)
+ ),
+ results =>
+ val size = insta.graph.size
+ if size != 1 then
+ (false, f"Wrong number of user: expected 1 but got ${size}")
+ else validateGraph(insta)
+ )
+ )
+
+ @Test
+ def testParallelFollowACRemoveB() =
+ TestHelper.testManySchedules(
+ 2,
+ scheduler =>
+ val insta = new Instagram:
+ override val graph =
+ ScheduledTrieMap(TrieMap[Int, List[Int]](), scheduler)
+
+ val u1 = insta.add()
+ val u2 = insta.add()
+ val u3 = insta.add()
+ insta.follow(u1, u2)
+
+ (
+ List(
+ () =>
+ // Thread 1
+ insta.follow(u1, u3),
+ () =>
+ // Thread 2
+ insta.remove(u2)
+ ),
+ results =>
+ val size = insta.graph.size
+ if size != 2 then
+ (false, f"Wrong number of user: expected 2 but got ${size}")
+ else validateGraph(insta)
+ )
+ )
+
+ @Test
+ def testParallelFollow() =
+ TestHelper.testManySchedules(
+ 2,
+ scheduler =>
+ val insta = new Instagram:
+ override val graph =
+ ScheduledTrieMap(TrieMap[Int, List[Int]](), scheduler)
+
+ val u1 = insta.add()
+ val u2 = insta.add()
+ val u3 = insta.add()
+
+ (
+ List(
+ () =>
+ // Thread 1
+ insta.follow(u1, u2),
+ () =>
+ // Thread 2
+ insta.follow(u1, u3)
+ ),
+ results =>
+ val u1FollowingSize = insta.graph(u1).size
+ if u1FollowingSize != 2 then
+ (
+ false,
+ f"Wrong number of users followed by user 1: expected 2 but got ${u1FollowingSize}"
+ )
+ else validateGraph(insta)
+ )
+ )
+
+ @Test
+ def testParallelRemove() =
+ TestHelper.testManySchedules(
+ 2,
+ scheduler =>
+ val insta = new Instagram:
+ override val graph =
+ ScheduledTrieMap(TrieMap[Int, List[Int]](), scheduler)
+
+ // Setup
+ val u1 = insta.add()
+ val u2 = insta.add()
+ val u3 = insta.add()
+ insta.follow(u1, u2)
+ insta.follow(u2, u1)
+ insta.follow(u2, u3)
+ insta.follow(u3, u1)
+
+ (
+ List(
+ () =>
+ // Thread 1
+ insta.remove(u2),
+ () =>
+ // Thread 2
+ insta.remove(u3)
+ ),
+ results =>
+ val size = insta.graph.size
+ if size != 1 then
+ (false, f"Wrong number of user: expected 1 but got ${size}")
+ else validateGraph(insta)
+ )
+ )
+
+ // We test wrong code here, so we expect an assertion error. You can replace
+ // the next line by `@Test` if you want to see the error with the failing
+ // schedule.
+ @Test(expected = classOf[AssertionError])
+ def testParallelWrongAdd() =
+ TestHelper.testManySchedules(
+ 2,
+ scheduler =>
+ val insta = new Instagram:
+ override val graph =
+ ScheduledTrieMap(TrieMap[Int, List[Int]](), scheduler)
+
+ // This implementation of `add` is wrong, because two threads might
+ // allocate the same id.
+ // Consider the following schedule:
+ // T1: res = 1
+ // T2: res = 2
+ // T2: graph.update(2, Nil)
+ // T2: 2
+ // T1: graph.update(2, Nil)
+ // T1: 2
+ override def add(): Int =
+ val res = maxId.incrementAndGet
+ graph.update(maxId.get, Nil)
+ res
+
+ (
+ List(
+ () =>
+ // Thread 1
+ insta.add(),
+ () =>
+ // Thread 2
+ insta.add()
+ ),
+ results =>
+ if results(0) != results(1) then
+ (false, f"Allocated twice id ${results(0)}")
+ else validateGraph(insta)
+ )
+ )
+
+ // We test wrong code here, so we expect an assertion error. You can replace
+ // the next line by `@Test` if you want to see the error with the failing
+ // schedule.
+ @Test(expected = classOf[AssertionError])
+ def testParallelWrongRemove() =
+ TestHelper.testManySchedules(
+ 2,
+ scheduler =>
+ val insta = new Instagram:
+ override val graph =
+ ScheduledTrieMap(TrieMap[Int, List[Int]](), scheduler)
+
+ // This implementation of `remove` is wrong because we don't retry to
+ // call `graph.replace` when it fails. Therefore, user 1 might end up
+ // following user 2 that has been removed, or not following user 3
+ // which is concurrently followed.
+ override def remove(idToRemove: Int): Unit =
+ graph.remove(idToRemove)
+ for (key, value) <- graph do
+ graph.replace(key, value, value.filter(_ != idToRemove))
+ // Note: writing `graph(key) = value.filter(_ != idToRemove)`
+ // would also be wrong because it does not check the previous
+ // value. Therefore, it could erase a concurrent update.
+
+ val u1 = insta.add()
+ val u2 = insta.add()
+ val u3 = insta.add()
+ insta.follow(u1, u2)
+
+ (
+ List(
+ () =>
+ // Thread 1
+ insta.follow(u1, u3),
+ () =>
+ // Thread 2
+ insta.remove(u2)
+ ),
+ results =>
+ val size = insta.graph.size
+ if insta.graph(u1).size != 1 then
+ (false, f"Wrong number of users followed by 1: expected 1 but got ${insta.graph(u1)}")
+ else validateGraph(insta)
+ )
+ )
+
+ // We test wrong code here, so we expect an assertion error. You can replace
+ // the next line by `@Test` if you want to see the error with the failing
+ // schedule.
+ @Test(expected = classOf[AssertionError])
+ def testParallelWrongUnfollow() =
+ TestHelper.testManySchedules(
+ 2,
+ scheduler =>
+ val insta = new Instagram:
+ override val graph =
+ ScheduledTrieMap(TrieMap[Int, List[Int]](), scheduler)
+ override def unfollow(a: Int, b: Int): Unit =
+ if !graph.contains(a) then return
+ val prev = graph(a) // Might throw java.util.NoSuchElementException
+ if !graph.replace(a, prev, prev.filter(_ != b)) then unfollow(a, b)
+
+ val u1 = insta.add()
+ val u2 = insta.add()
+ insta.follow(u1, u2)
+
+ (
+ List(
+ () =>
+ // Thread 1
+ insta.unfollow(u1, u2),
+ () =>
+ // Thread 2
+ insta.remove(u1)
+ ),
+ results =>
+ val size = insta.graph.size
+ if size != 1 then
+ (false, f"Wrong number of user: expected 1 but got ${size}")
+ else validateGraph(insta)
+ )
+ )
+
+ def validateGraph(insta: Instagram): (Boolean, String) =
+ for (a, following) <- insta.graph; b <- following do
+ if !insta.graph.contains(b) then
+ return (false, f"User $a follows non-existing user $b")
+ (true, "")
+
+ final class ScheduledIterator[T](
+ private val myIterator: Iterator[T],
+ private val scheduler: Scheduler
+ ) extends Iterator[T]:
+ override def hasNext =
+ myIterator.hasNext
+ override def next() =
+ scheduler.exec(myIterator.next)("", Some(res => f"Iterator.next == $res"))
+ override def knownSize: Int =
+ myIterator.knownSize
+
+ final class ScheduledTrieMap[K, V](
+ private val myMap: Map[K, V],
+ private val scheduler: Scheduler
+ ) extends Map[K, V]:
+ override def apply(key: K): V =
+ scheduler.exec(myMap(key))(
+ "",
+ Some(res => f"TrieMap.apply($key) == $res")
+ )
+ override def contains(key: K): Boolean =
+ scheduler.exec(myMap.contains(key))(
+ "",
+ Some(res => f"TrieMap.contains($key) == $res")
+ )
+ override def get(key: K): Option[V] =
+ scheduler.exec(myMap.get(key))(
+ "",
+ Some(res => f"TrieMap.get($key) == $res")
+ )
+ override def addOne(kv: (K, V)) =
+ scheduler.exec(myMap.addOne(kv))(f"TrieMap.addOne($kv)")
+ this
+ override def subtractOne(k: K) =
+ scheduler.exec(myMap.subtractOne(k))(f"TrieMap.subtractOne($k)")
+ this
+ override def iterator() =
+ scheduler.log("TrieMap.iterator")
+ ScheduledIterator(myMap.iterator, scheduler)
+ override def replace(k: K, v: V): Option[V] =
+ scheduler.exec(myMap.replace(k, v))(
+ "",
+ Some(res => f"TrieMap.replace($k, $v) == $res")
+ )
+ override def replace(k: K, oldvalue: V, newvalue: V): Boolean =
+ scheduler.exec(myMap.replace(k, oldvalue, newvalue))(
+ "",
+ Some(res => f"TrieMap.replace($k, $oldvalue, $newvalue) == $res")
+ )
+ override def putIfAbsent(k: K, v: V): Option[V] =
+ scheduler.exec(myMap.putIfAbsent(k, v))(
+ "",
+ Some(res => f"TrieMap.putIfAbsent($k, $v)")
+ )
+ override def remove(k: K): Option[V] =
+ scheduler.exec(myMap.remove(k))(
+ "",
+ Some(res => f"TrieMap.remove($k)")
+ )
+ override def remove(k: K, v: V): Boolean =
+ scheduler.exec(myMap.remove(k, v))(
+ "",
+ Some(res => f"TrieMap.remove($k, $v)")
+ )
diff --git a/previous-exams/2022-midterm-code/src/test/scala/midterm/instrumentation/MockedMonitor.scala b/previous-exams/2022-midterm-code/src/test/scala/midterm/instrumentation/MockedMonitor.scala
new file mode 100644
index 0000000..341d8fe
--- /dev/null
+++ b/previous-exams/2022-midterm-code/src/test/scala/midterm/instrumentation/MockedMonitor.scala
@@ -0,0 +1,46 @@
+package midterm.instrumentation
+
+trait MockedMonitor extends Monitor:
+ def scheduler: Scheduler
+
+ // Can be overriden.
+ override def waitDefault() =
+ scheduler.log("wait")
+ scheduler updateThreadState Wait(this, scheduler.threadLocks.tail)
+ override def synchronizedDefault[T](toExecute: =>T): T =
+ scheduler.log("synchronized check")
+ val prevLocks = scheduler.threadLocks
+ scheduler updateThreadState Sync(this, prevLocks) // If this belongs to prevLocks, should just continue.
+ scheduler.log("synchronized -> enter")
+ try
+ toExecute
+ finally
+ scheduler updateThreadState Running(prevLocks)
+ scheduler.log("synchronized -> out")
+ override def notifyDefault() =
+ scheduler mapOtherStates {
+ state => state match
+ case Wait(lockToAquire, locks) if lockToAquire == this => SyncUnique(this, state.locks)
+ case e => e
+ }
+ scheduler.log("notify")
+ override def notifyAllDefault() =
+ scheduler mapOtherStates {
+ state => state match
+ case Wait(lockToAquire, locks) if lockToAquire == this => Sync(this, state.locks)
+ case SyncUnique(lockToAquire, locks) if lockToAquire == this => Sync(this, state.locks)
+ case e => e
+ }
+ scheduler.log("notifyAll")
+
+abstract class ThreadState:
+ def locks: Seq[AnyRef]
+trait CanContinueIfAcquiresLock extends ThreadState:
+ def lockToAquire: AnyRef
+case object Start extends ThreadState { def locks: Seq[AnyRef] = Seq.empty }
+case object End extends ThreadState { def locks: Seq[AnyRef] = Seq.empty }
+case class Wait(lockToAquire: AnyRef, locks: Seq[AnyRef]) extends ThreadState
+case class SyncUnique(lockToAquire: AnyRef, locks: Seq[AnyRef]) extends ThreadState with CanContinueIfAcquiresLock
+case class Sync(lockToAquire: AnyRef, locks: Seq[AnyRef]) extends ThreadState with CanContinueIfAcquiresLock
+case class Running(locks: Seq[AnyRef]) extends ThreadState
+case class VariableReadWrite(locks: Seq[AnyRef]) extends ThreadState
diff --git a/previous-exams/2022-midterm-code/src/test/scala/midterm/instrumentation/Scheduler.scala b/previous-exams/2022-midterm-code/src/test/scala/midterm/instrumentation/Scheduler.scala
new file mode 100644
index 0000000..8c26437
--- /dev/null
+++ b/previous-exams/2022-midterm-code/src/test/scala/midterm/instrumentation/Scheduler.scala
@@ -0,0 +1,276 @@
+package midterm.instrumentation
+
+import java.util.concurrent._;
+import scala.concurrent.duration._
+import scala.collection.mutable._
+import Stats._
+
+import java.util.concurrent.atomic.AtomicInteger
+
+sealed abstract class Result
+case class RetVal(rets: List[Any]) extends Result
+case class Except(msg: String, stackTrace: Array[StackTraceElement]) extends Result
+case class Timeout(msg: String) extends Result
+
+/**
+ * A class that maintains schedule and a set of thread ids.
+ * The schedules are advanced after an operation of a SchedulableBuffer is performed.
+ * Note: the real schedule that is executed may deviate from the input schedule
+ * due to the adjustments that had to be made for locks
+ */
+class Scheduler(sched: List[Int]):
+ val maxOps = 500 // a limit on the maximum number of operations the code is allowed to perform
+
+ private var schedule = sched
+ private var numThreads = 0
+ private val realToFakeThreadId = Map[Long, Int]()
+ private val opLog = ListBuffer[String]() // a mutable list (used for efficient concat)
+ private val threadStates = Map[Int, ThreadState]()
+
+ /**
+ * Runs a set of operations in parallel as per the schedule.
+ * Each operation may consist of many primitive operations like reads or writes
+ * to shared data structure each of which should be executed using the function `exec`.
+ * @timeout in milliseconds
+ * @return true - all threads completed on time, false -some tests timed out.
+ */
+ def runInParallel(timeout: Long, ops: List[() => Any]): Result =
+ numThreads = ops.length
+ val threadRes = Array.fill(numThreads) { None: Any }
+ var exception: Option[Except] = None
+ val syncObject = new Object()
+ var completed = new AtomicInteger(0)
+ // create threads
+ val threads = ops.zipWithIndex.map {
+ case (op, i) =>
+ new Thread(new Runnable() {
+ def run(): Unit = {
+ val fakeId = i + 1
+ setThreadId(fakeId)
+ try {
+ updateThreadState(Start)
+ val res = op()
+ updateThreadState(End)
+ threadRes(i) = res
+ // notify the main thread if all threads have completed
+ if completed.incrementAndGet() == ops.length then {
+ syncObject.synchronized { syncObject.notifyAll() }
+ }
+ } catch {
+ case e: Throwable if exception != None => // do nothing here and silently fail
+ case e: Throwable =>
+ log(s"throw ${e.toString}")
+ exception = Some(Except(s"Thread $fakeId crashed on the following schedule: \n" + opLog.mkString("\n"),
+ e.getStackTrace))
+ syncObject.synchronized { syncObject.notifyAll() }
+ //println(s"$fakeId: ${e.toString}")
+ //Runtime.getRuntime().halt(0) //exit the JVM and all running threads (no other way to kill other threads)
+ }
+ }
+ })
+ }
+ // start all threads
+ threads.foreach(_.start())
+ // wait for all threads to complete, or for an exception to be thrown, or for the time out to expire
+ var remTime = timeout
+ syncObject.synchronized {
+ timed { if completed.get() != ops.length then syncObject.wait(timeout) } { time => remTime -= time }
+ }
+ if exception.isDefined then
+ exception.get
+ else if remTime <= 1 then // timeout ? using 1 instead of zero to allow for some errors
+ Timeout(opLog.mkString("\n"))
+ else
+ // every thing executed normally
+ RetVal(threadRes.toList)
+
+ // Updates the state of the current thread
+ def updateThreadState(state: ThreadState): Unit =
+ val tid = threadId
+ synchronized {
+ threadStates(tid) = state
+ }
+ state match
+ case Sync(lockToAquire, locks) =>
+ if locks.indexOf(lockToAquire) < 0 then waitForTurn else
+ // Re-aqcuiring the same lock
+ updateThreadState(Running(lockToAquire +: locks))
+ case Start => waitStart()
+ case End => removeFromSchedule(tid)
+ case Running(_) =>
+ case _ => waitForTurn // Wait, SyncUnique, VariableReadWrite
+
+ def waitStart(): Unit =
+ //while (threadStates.size < numThreads) {
+ //Thread.sleep(1)
+ //}
+ synchronized {
+ if threadStates.size < numThreads then
+ wait()
+ else
+ notifyAll()
+ }
+
+ def threadLocks =
+ synchronized {
+ threadStates(threadId).locks
+ }
+
+ def threadState =
+ synchronized {
+ threadStates(threadId)
+ }
+
+ def mapOtherStates(f: ThreadState => ThreadState) =
+ val exception = threadId
+ synchronized {
+ for k <- threadStates.keys if k != exception do
+ threadStates(k) = f(threadStates(k))
+ }
+
+ def log(str: String) =
+ if (realToFakeThreadId contains Thread.currentThread().getId()) then
+ val space = (" " * ((threadId - 1) * 2))
+ val s = space + threadId + ":" + "\n".r.replaceAllIn(str, "\n" + space + " ")
+ //println(s)
+ opLog += s
+
+ /**
+ * Executes a read or write operation to a global data structure as per the given schedule
+ * @param msg a message corresponding to the operation that will be logged
+ */
+ def exec[T](primop: => T)(msg: => String, postMsg: => Option[T => String] = None): T =
+ if ! (realToFakeThreadId contains Thread.currentThread().getId()) then
+ primop
+ else
+ updateThreadState(VariableReadWrite(threadLocks))
+ val m = msg
+ if m != "" then log(m)
+ if opLog.size > maxOps then
+ throw new Exception(s"Total number of reads/writes performed by threads exceed $maxOps. A possible deadlock!")
+ val res = primop
+ postMsg match
+ case Some(m) => log(m(res))
+ case None =>
+ res
+
+ private def setThreadId(fakeId: Int) = synchronized {
+ realToFakeThreadId(Thread.currentThread.getId) = fakeId
+ }
+
+ def threadId =
+ try
+ realToFakeThreadId(Thread.currentThread().getId())
+ catch
+ case e: NoSuchElementException =>
+ throw new Exception("You are accessing shared variables in the constructor. This is not allowed. The variables are already initialized!")
+
+ private def isTurn(tid: Int) = synchronized {
+ (!schedule.isEmpty && schedule.head != tid)
+ }
+
+ def canProceed(): Boolean =
+ val tid = threadId
+ canContinue match
+ case Some((i, state)) if i == tid =>
+ //println(s"$tid: Runs ! Was in state $state")
+ canContinue = None
+ state match
+ case Sync(lockToAquire, locks) => updateThreadState(Running(lockToAquire +: locks))
+ case SyncUnique(lockToAquire, locks) =>
+ mapOtherStates {
+ _ match
+ case SyncUnique(lockToAquire2, locks2) if lockToAquire2 == lockToAquire => Wait(lockToAquire2, locks2)
+ case e => e
+ }
+ updateThreadState(Running(lockToAquire +: locks))
+ case VariableReadWrite(locks) => updateThreadState(Running(locks))
+ true
+ case Some((i, state)) =>
+ //println(s"$tid: not my turn but $i !")
+ false
+ case None =>
+ false
+
+ var threadPreference = 0 // In the case the schedule is over, which thread should have the preference to execute.
+
+ /** returns true if the thread can continue to execute, and false otherwise */
+ def decide(): Option[(Int, ThreadState)] =
+ if !threadStates.isEmpty then // The last thread who enters the decision loop takes the decision.
+ //println(s"$threadId: I'm taking a decision")
+ if threadStates.values.forall { case e: Wait => true case _ => false } then
+ val waiting = threadStates.keys.map(_.toString).mkString(", ")
+ val s = if threadStates.size > 1 then "s" else ""
+ val are = if threadStates.size > 1 then "are" else "is"
+ throw new Exception(s"Deadlock: Thread$s $waiting $are waiting but all others have ended and cannot notify them.")
+ else
+ // Threads can be in Wait, Sync, SyncUnique, and VariableReadWrite mode.
+ // Let's determine which ones can continue.
+ val notFree = threadStates.collect { case (id, state) => state.locks }.flatten.toSet
+ val threadsNotBlocked = threadStates.toSeq.filter {
+ case (id, v: VariableReadWrite) => true
+ case (id, v: CanContinueIfAcquiresLock) => !notFree(v.lockToAquire) || (v.locks contains v.lockToAquire)
+ case _ => false
+ }
+ if threadsNotBlocked.isEmpty then
+ val waiting = threadStates.keys.map(_.toString).mkString(", ")
+ val s = if threadStates.size > 1 then "s" else ""
+ val are = if threadStates.size > 1 then "are" else "is"
+ val whoHasLock = threadStates.toSeq.flatMap { case (id, state) => state.locks.map(lock => (lock, id)) }.toMap
+ val reason = threadStates.collect {
+ case (id, state: CanContinueIfAcquiresLock) if !notFree(state.lockToAquire) =>
+ s"Thread $id is waiting on lock ${state.lockToAquire} held by thread ${whoHasLock(state.lockToAquire)}"
+ }.mkString("\n")
+ throw new Exception(s"Deadlock: Thread$s $waiting are interlocked. Indeed:\n$reason")
+ else if threadsNotBlocked.size == 1 then // Do not consume the schedule if only one thread can execute.
+ Some(threadsNotBlocked(0))
+ else
+ val next = schedule.indexWhere(t => threadsNotBlocked.exists { case (id, state) => id == t })
+ if next != -1 then
+ //println(s"$threadId: schedule is $schedule, next chosen is ${schedule(next)}")
+ val chosenOne = schedule(next) // TODO: Make schedule a mutable list.
+ schedule = schedule.take(next) ++ schedule.drop(next + 1)
+ Some((chosenOne, threadStates(chosenOne)))
+ else
+ threadPreference = (threadPreference + 1) % threadsNotBlocked.size
+ val chosenOne = threadsNotBlocked(threadPreference) // Maybe another strategy
+ Some(chosenOne)
+ //threadsNotBlocked.indexOf(threadId) >= 0
+ /*
+ val tnb = threadsNotBlocked.map(_._1).mkString(",")
+ val s = if (schedule.isEmpty) "empty" else schedule.mkString(",")
+ val only = if (schedule.isEmpty) "" else " only"
+ throw new Exception(s"The schedule is $s but$only threads ${tnb} can continue")*/
+ else canContinue
+
+ /**
+ * This will be called before a schedulable operation begins.
+ * This should not use synchronized
+ */
+ var numThreadsWaiting = new AtomicInteger(0)
+ //var waitingForDecision = Map[Int, Option[Int]]() // Mapping from thread ids to a number indicating who is going to make the choice.
+ var canContinue: Option[(Int, ThreadState)] = None // The result of the decision thread Id of the thread authorized to continue.
+ private def waitForTurn =
+ synchronized {
+ if numThreadsWaiting.incrementAndGet() == threadStates.size then
+ canContinue = decide()
+ notifyAll()
+ //waitingForDecision(threadId) = Some(numThreadsWaiting)
+ //println(s"$threadId Entering waiting with ticket number $numThreadsWaiting/${waitingForDecision.size}")
+ while !canProceed() do wait()
+ }
+ numThreadsWaiting.decrementAndGet()
+
+ /**
+ * To be invoked when a thread is about to complete
+ */
+ private def removeFromSchedule(fakeid: Int) = synchronized {
+ //println(s"$fakeid: I'm taking a decision because I finished")
+ schedule = schedule.filterNot(_ == fakeid)
+ threadStates -= fakeid
+ if numThreadsWaiting.get() == threadStates.size then
+ canContinue = decide()
+ notifyAll()
+ }
+
+ def getOperationLog() = opLog
diff --git a/previous-exams/2022-midterm-code/src/test/scala/midterm/instrumentation/Stats.scala b/previous-exams/2022-midterm-code/src/test/scala/midterm/instrumentation/Stats.scala
new file mode 100644
index 0000000..2d6d76d
--- /dev/null
+++ b/previous-exams/2022-midterm-code/src/test/scala/midterm/instrumentation/Stats.scala
@@ -0,0 +1,19 @@
+package midterm.instrumentation
+
+import java.lang.management._
+
+/**
+ * A collection of methods that can be used to collect run-time statistics about Leon programs.
+ * This is mostly used to test the resources properties of Leon programs
+ */
+object Stats:
+ def timed[T](code: => T)(cont: Long => Unit): T =
+ var t1 = System.currentTimeMillis()
+ val r = code
+ cont((System.currentTimeMillis() - t1))
+ r
+
+ def withTime[T](code: => T): (T, Long) =
+ var t1 = System.currentTimeMillis()
+ val r = code
+ (r, (System.currentTimeMillis() - t1))
diff --git a/previous-exams/2022-midterm-code/src/test/scala/midterm/instrumentation/TestHelper.scala b/previous-exams/2022-midterm-code/src/test/scala/midterm/instrumentation/TestHelper.scala
new file mode 100644
index 0000000..5bd22dd
--- /dev/null
+++ b/previous-exams/2022-midterm-code/src/test/scala/midterm/instrumentation/TestHelper.scala
@@ -0,0 +1,112 @@
+package midterm.instrumentation
+
+import scala.util.Random
+import scala.collection.mutable.{Map => MutableMap}
+
+import Stats._
+
+object TestHelper:
+ val noOfSchedules = 10000 // set this to 100k during deployment
+ val readWritesPerThread = 20 // maximum number of read/writes possible in one thread
+ val contextSwitchBound = 10
+ val testTimeout = 240 // the total time out for a test in seconds
+ val schedTimeout = 15 // the total time out for execution of a schedule in secs
+
+ // Helpers
+ /*def testManySchedules(op1: => Any): Unit = testManySchedules(List(() => op1))
+ def testManySchedules(op1: => Any, op2: => Any): Unit = testManySchedules(List(() => op1, () => op2))
+ def testManySchedules(op1: => Any, op2: => Any, op3: => Any): Unit = testManySchedules(List(() => op1, () => op2, () => op3))
+ def testManySchedules(op1: => Any, op2: => Any, op3: => Any, op4: => Any): Unit = testManySchedules(List(() => op1, () => op2, () => op3, () => op4))*/
+
+ def testSequential[T](ops: Scheduler => Any)(assertions: T => (Boolean, String)) =
+ testManySchedules(1,
+ (sched: Scheduler) => {
+ (List(() => ops(sched)),
+ (res: List[Any]) => assertions(res.head.asInstanceOf[T]))
+ })
+
+ /**
+ * @numThreads number of threads
+ * @ops operations to be executed, one per thread
+ * @assertion as condition that will executed after all threads have completed (without exceptions)
+ * the arguments are the results of the threads
+ */
+ def testManySchedules(numThreads: Int,
+ ops: Scheduler =>
+ (List[() => Any], // Threads
+ List[Any] => (Boolean, String)) // Assertion
+ ) =
+ var timeout = testTimeout * 1000L
+ val threadIds = (1 to numThreads)
+ //(1 to scheduleLength).flatMap(_ => threadIds).toList.permutations.take(noOfSchedules).foreach {
+ val schedules = (new ScheduleGenerator(numThreads)).schedules()
+ var schedsExplored = 0
+ schedules.takeWhile(_ => schedsExplored <= noOfSchedules && timeout > 0).foreach {
+ //case _ if timeout <= 0 => // break
+ case schedule =>
+ schedsExplored += 1
+ val schedr = new Scheduler(schedule)
+ //println("Exploring Sched: "+schedule)
+ val (threadOps, assertion) = ops(schedr)
+ if threadOps.size != numThreads then
+ throw new IllegalStateException(s"Number of threads: $numThreads, do not match operations of threads: $threadOps")
+ timed { schedr.runInParallel(schedTimeout * 1000, threadOps) } { t => timeout -= t } match
+ case Timeout(msg) =>
+ throw new java.lang.AssertionError("assertion failed\n"+"The schedule took too long to complete. A possible deadlock! \n"+msg)
+ case Except(msg, stkTrace) =>
+ val traceStr = "Thread Stack trace: \n"+stkTrace.map(" at "+_.toString).mkString("\n")
+ throw new java.lang.AssertionError("assertion failed\n"+msg+"\n"+traceStr)
+ case RetVal(threadRes) =>
+ // check the assertion
+ val (success, custom_msg) = assertion(threadRes)
+ if !success then
+ val msg = "The following schedule resulted in wrong results: \n" + custom_msg + "\n" + schedr.getOperationLog().mkString("\n")
+ throw new java.lang.AssertionError("Assertion failed: "+msg)
+ }
+ if timeout <= 0 then
+ throw new java.lang.AssertionError("Test took too long to complete! Cannot check all schedules as your code is too slow!")
+
+ /**
+ * A schedule generator that is based on the context bound
+ */
+ class ScheduleGenerator(numThreads: Int):
+ val scheduleLength = readWritesPerThread * numThreads
+ val rands = (1 to scheduleLength).map(i => new Random(0xcafe * i)) // random numbers for choosing a thread at each position
+ def schedules(): LazyList[List[Int]] =
+ var contextSwitches = 0
+ var contexts = List[Int]() // a stack of thread ids in the order of context-switches
+ val remainingOps = MutableMap[Int, Int]()
+ remainingOps ++= (1 to numThreads).map(i => (i, readWritesPerThread)) // num ops remaining in each thread
+ val liveThreads = (1 to numThreads).toSeq.toBuffer
+
+ /**
+ * Updates remainingOps and liveThreads once a thread is chosen for a position in the schedule
+ */
+ def updateState(tid: Int): Unit =
+ val remOps = remainingOps(tid)
+ if remOps == 0 then
+ liveThreads -= tid
+ else
+ remainingOps += (tid -> (remOps - 1))
+ val schedule = rands.foldLeft(List[Int]()) {
+ case (acc, r) if contextSwitches < contextSwitchBound =>
+ val tid = liveThreads(r.nextInt(liveThreads.size))
+ contexts match
+ case prev :: tail if prev != tid => // we have a new context switch here
+ contexts +:= tid
+ contextSwitches += 1
+ case prev :: tail =>
+ case _ => // init case
+ contexts +:= tid
+ updateState(tid)
+ acc :+ tid
+ case (acc, _) => // here context-bound has been reached so complete the schedule without any more context switches
+ if !contexts.isEmpty then
+ contexts = contexts.dropWhile(remainingOps(_) == 0)
+ val tid = contexts match
+ case top :: tail => top
+ case _ => liveThreads(0) // here, there has to be threads that have not even started
+ updateState(tid)
+ acc :+ tid
+ }
+ schedule #:: schedules()
diff --git a/previous-exams/2022-midterm-code/src/test/scala/midterm/instrumentation/TestUtils.scala b/previous-exams/2022-midterm-code/src/test/scala/midterm/instrumentation/TestUtils.scala
new file mode 100644
index 0000000..6417d5c
--- /dev/null
+++ b/previous-exams/2022-midterm-code/src/test/scala/midterm/instrumentation/TestUtils.scala
@@ -0,0 +1,33 @@
+package midterm.instrumentation
+
+import scala.concurrent._
+import scala.concurrent.duration._
+import scala.concurrent.ExecutionContext.Implicits.global
+import org.junit.Assert.*
+
+object TestUtils:
+ def failsOrTimesOut[T](action: => T): Boolean =
+ val asyncAction = Future {
+ action
+ }
+ try
+ Await.result(asyncAction, 2000.millisecond)
+ catch
+ case _: Throwable => return true
+ return false
+
+ def assertDeadlock[T](action: => T): Unit =
+ try
+ action
+ throw new AssertionError("No error detected.")
+ catch
+ case e: AssertionError =>
+ assert(e.getMessage.contains("Deadlock"), "No deadlock detected.")
+
+ def assertMaybeDeadlock[T](action: => T): Unit =
+ try
+ action
+ throw new AssertionError("No error detected.")
+ catch
+ case e: AssertionError =>
+ assert(e.getMessage.contains("A possible deadlock!"), "No deadlock detected.")
diff --git a/previous-exams/2022-midterm-solutions.pdf b/previous-exams/2022-midterm-solutions.pdf
new file mode 100644
index 0000000000000000000000000000000000000000..f2f66ce13686cd9a68bde8cb76d4b1e416a944cd
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--
GitLab