added assignment 8 ex 1

src/Assignment8/Ex1.scala

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+package Assignment8
+
+import utils.timeVerbose
+
+import scala.collection.parallel.CollectionConverters._
+
+object Ex1 extends App {
+  def integrate(a: Double, b: Double, nIntervals: Int, f: (Double => Double)): Double = {
+    val dx: Double = (b - a) / nIntervals
+    //val y: Double = (1 until nIntervals).map(i => f(i * dx + a)).sum
+    //val y: Double = (1 until nIntervals).view.map(i => f(i * dx + a)).sum
+    val y: Double = (1 until nIntervals).par.map(i => f(i * dx + a)).sum
+    return (2 * y + f(a) + f(b)) * dx / 2
+  }
+
+  println(integrate(1, 2, 500, math.sin))
+
+  println(integrate(0, 1, 500, math.sin _ compose math.cos))
+
+  timeVerbose {
+    val i = integrate(0, 1, math.pow(20, 6).toInt, math.sin)
+  }
+}
+

src/utils/package.scala

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+/**
+ * Some useful functions for Scala.
+ *
+ * @author Pierre-André Mudry
+ * @version 1.0
+ */
+
+import java.io.{BufferedOutputStream, File, FileOutputStream}
+import scala.io.{Codec, Source}
+
+package object utils {
+
+	/**
+	 * There are functions for micro-benchmarking, but you should not
+	 * rely on those functions for measuring short durations!
+	 */
+
+	// Measure the time for a block of code to run, approximately
+	def timeVerbose(f: ⇒ Unit) = {
+		println("[Time] Start of measure")
+		val duration = time(f)
+		println(s"[Time] Block duration was $duration ms\n")
+		duration
+	}
+
+	// With a customized error message
+	def timeVerbose(s: String)(f: ⇒ Unit) = {
+		println(s"[$s] Start of measure")
+		val duration = time(f)
+		println(s"[$s] Block duration was $duration ms\n")
+		duration
+	}
+
+	// Measure the time for a block of code to run, approximately
+	def time(f: ⇒ Unit) = {
+		val start = System.currentTimeMillis
+		f // Execute the block
+		val duration = System.currentTimeMillis - start
+		duration
+	}
+
+	/**
+	 * A class for reading and writing to files easily
+	 */
+	implicit class RichFile(file: File) {
+		def read() = Source.fromFile(file)(Codec.UTF8).mkString
+
+		def write(data: String) {
+			val fos = new BufferedOutputStream(new FileOutputStream(file))
+			try {
+				fos.write(data.getBytes("UTF-8"))
+			} finally {
+				fos.close
+			}
+		}
+	}
+}