added assignment 8 ex 1

src/Assignment8/Ex1.scala

@@ -0,0 +1,24 @@
+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)
+  }
+}
+