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+ <artifact-editor />
+ <splitter-proportions>
+ <option name="proportions">
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+ <option value="0.2" />
+ </list>
+ </option>
+ </splitter-proportions>
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+ </state>
+ <state key="GlobalLibrariesConfigurable.UI">
+ <settings>
+ <last-edited>scala-sdk-2.11.5</last-edited>
+ <splitter-proportions>
+ <option name="proportions">
+ <list>
+ <option value="0.2" />
+ </list>
+ </option>
+ </splitter-proportions>
+ </settings>
+ </state>
+ <state key="JdkListConfigurable.UI">
+ <settings>
+ <last-edited>1.7</last-edited>
+ <splitter-proportions>
+ <option name="proportions">
+ <list>
+ <option value="0.2" />
+ </list>
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+ </splitter-proportions>
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+ </state>
+ <state key="ModuleStructureConfigurable.UI">
+ <settings>
+ <last-edited>assignment_01</last-edited>
+ <splitter-proportions>
+ <option name="proportions">
+ <list>
+ <option value="0.2" />
+ <option value="0.6" />
+ </list>
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+ </splitter-proportions>
+ </settings>
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+ <settings>
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+ <splitter-proportions>
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+ <option value="0.2" />
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+ </splitter-proportions>
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+ </states>
+ </component>
+</project>
\ No newline at end of file
--- /dev/null
+name := "Assignment_01"
+
+version := "1.0"
+
+scalaVersion := "2.11.5"
+
\ No newline at end of file
--- /dev/null
+sbt.version = 0.13.5
\ No newline at end of file
--- /dev/null
+logLevel := Level.Warn
\ No newline at end of file
--- /dev/null
+package org.gburri
+
+object Main {
+ val epsilon = 0.0001
+ def isGoodEnough(x1: Double, x2: Double) = Math.abs(x1 - x2) < epsilon
+ def improve(x: Double, a: Double) = x - (x * x - a) / (2 * x)
+
+ def sqrt(a: Double, x: Double = 10): Double = {
+ val xNext = improve(x, a)
+ if (isGoodEnough(x, xNext)) xNext
+ else sqrt(a, xNext)
+ }
+
+ def main(args: Array[String]): Unit = {
+ println("Assignment 1 / Question 2 :")
+ printf(" sqrt(9) : %f\n", sqrt(9))
+ printf(" sqrt(612) : %f\n", sqrt(612))
+ }
+}
--- /dev/null
+Assignment_02
\ No newline at end of file
--- /dev/null
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+ <component name="CompilerConfiguration">
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+ <resourceExtensions />
+ <wildcardResourcePatterns>
+ <entry name="!?*.java" />
+ <entry name="!?*.form" />
+ <entry name="!?*.class" />
+ <entry name="!?*.groovy" />
+ <entry name="!?*.scala" />
+ <entry name="!?*.flex" />
+ <entry name="!?*.kt" />
+ <entry name="!?*.clj" />
+ <entry name="!?*.aj" />
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+ <annotationProcessing>
+ <profile default="true" name="Default" enabled="false">
+ <processorPath useClasspath="true" />
+ </profile>
+ </annotationProcessing>
+ </component>
+</project>
\ No newline at end of file
--- /dev/null
+<component name="CopyrightManager">
+ <settings default="" />
+</component>
\ No newline at end of file
--- /dev/null
+<?xml version="1.0" encoding="UTF-8"?>
+<project version="4">
+ <component name="Encoding" useUTFGuessing="true" native2AsciiForPropertiesFiles="false" />
+</project>
\ No newline at end of file
--- /dev/null
+<component name="libraryTable">
+ <library name="SBT: org.scala-lang:scala-library:2.11.5:jar" type="Scala">
+ <properties>
+ <compiler-classpath>
+ <root url="file://$USER_HOME$/.ivy2/cache/org.scala-lang/scala-compiler/jars/scala-compiler-2.11.5.jar" />
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+</component>
\ No newline at end of file
--- /dev/null
+<?xml version="1.0" encoding="UTF-8"?>
+<project version="4">
+ <component name="CompilerConfiguration">
+ <option name="DEFAULT_COMPILER" />
+ <resourceExtensions />
+ <wildcardResourcePatterns>
+ <entry name="!?*.java" />
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+ <entry name="!?*.aj" />
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+ <disable_hints />
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+ <component name="DependencyValidationManager">
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+ </component>
+ <component name="Encoding" useUTFGuessing="true" native2AsciiForPropertiesFiles="false" />
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+ <component name="ProjectLevelVcsManager" settingsEditedManually="false">
+ <OptionsSetting value="true" id="Add" />
+ <OptionsSetting value="true" id="Remove" />
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+ <ConfirmationsSetting value="0" id="Add" />
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+ <component name="ProjectModuleManager">
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+ <component name="ProjectRootManager" version="2" languageLevel="JDK_1_7" assert-keyword="true" jdk-15="true" project-jdk-name="1.7" project-jdk-type="JavaSDK">
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--- /dev/null
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--- /dev/null
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--- /dev/null
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--- /dev/null
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--- /dev/null
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--- /dev/null
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--- /dev/null
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--- /dev/null
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\ No newline at end of file
--- /dev/null
+name := "Assignment_02"
+
+version := "1.0"
+
+scalaVersion := "2.11.5"
+
\ No newline at end of file
--- /dev/null
+sbt.version = 0.13.5
\ No newline at end of file
--- /dev/null
+logLevel := Level.Warn
\ No newline at end of file
--- /dev/null
+import scala.annotation.tailrec
+
+object Main {
+ // Question 1.
+ // a)
+ @tailrec
+ def fac(n: Int, acc: Int = 1) : Int =
+ if (n == 1) acc else fac(n - 1, acc * n)
+
+ // b)
+ def fib(n: Int) : Int = {
+ n match {
+ case 0 => 0
+ case 1 => 1
+ case _ => fib(n - 1) + fib(n - 2)
+ }
+ }
+
+ /*@tailrec
+ def fibTail(n: Int, acc: Int = 0) : Int = {
+ def stage()
+ n match {
+ case 0 => 0
+ case 1 => 1
+ case _ =>
+ }
+ }*/
+
+ // Question 2.
+ def sum(f: Double => Double, a: Int, b: Int): Double = {
+ def iter(a: Int, acc: Double): Double =
+ if (a > b) acc
+ else iter(a + 1, acc + f(a))
+ iter(a, 0.0)
+ }
+
+ // Question 3.
+ def product(f: Double => Double) (a: Int) (b: Int): Double = {
+ def iter(a: Int, acc: Double): Double =
+ if (a > b) acc
+ else iter(a + 1, acc * f(a))
+ iter(a, 1.0)
+ }
+
+ // c)
+ def generalization(init: Double) (reducer: (Double, Double) => Double) (f: Double => Double) (a: Int) (b: Int): Double = {
+ def iter(a: Int, acc: Double): Double =
+ if (a > b) acc
+ else iter(a + 1, reducer(acc, f(a)))
+ iter(a, init)
+ }
+
+ def main(args: Array[String]) = {
+ println("Question 1")
+ println(s"fac(4): ${fac(4)}")
+ println(s"fib(10): ${fib(4)}")
+
+ println("\nQuestion 2")
+ val sumOfSquares = sum(x => x * x, 2, 4)
+ println(s"sum of square from 2 to 4 : $sumOfSquares")
+
+ println("\nQuestion 3")
+
+ def factorial = product (x => x) (1) _
+ println(s"factorial(4) : ${factorial(4)}")
+
+ // def sum2 = generalization (0) ((x, y) => x + y) _ _ _
+ // def product2 = generalization (1) (_ * _) _ _ _
+ }
+}
--- /dev/null
+Assignement_03
\ No newline at end of file
--- /dev/null
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--- /dev/null
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\ No newline at end of file
--- /dev/null
+name := "Assignment_03"
+
+version := "1.0"
+
+scalaVersion := "2.11.6"
--- /dev/null
+sbt.version = 0.13.5
\ No newline at end of file
--- /dev/null
+logLevel := Level.Warn
\ No newline at end of file
--- /dev/null
+object Main {
+ abstract class IntSet() {
+ def add(x: Int): IntSet
+ def +(x: Int): IntSet = this add x
+ def contains(x: Int): Boolean
+ def foreach(f: Int => Unit): Unit
+ def union(other: IntSet): IntSet
+ def intersect(other: IntSet): IntSet
+ def excl(x: Int): IntSet
+ def -(x: Int): IntSet = this excl x
+ def isEmpty(): Boolean
+ }
+
+ class NonEmpty(elem: Int, left: IntSet, right: IntSet) extends IntSet {
+ def add(x: Int): IntSet = {
+ if (x < elem) new NonEmpty(elem, left add x, right)
+ else if (x > elem) new NonEmpty(elem, left, right add x)
+ else this
+ }
+ def contains(x: Int): Boolean = {
+ if (x < elem) left contains x
+ else if (x > elem) right contains x
+ else true
+ }
+ override def toString(): String = s"($left|$elem|$right)"
+ def foreach(f: Int => Unit): Unit = {
+ left foreach f
+ f(elem)
+ right foreach f
+ }
+ def union(other: IntSet): IntSet = {
+ val newSet = (left union right) union other
+ newSet add elem
+ }
+ def intersect(other: IntSet): IntSet = {
+ val l = left intersect other
+ val r = right intersect other
+ val newSet = l union r
+ if (other contains elem)
+ newSet add elem
+ else
+ newSet
+ }
+ def excl(x: Int): IntSet = {
+ if (x < elem) new NonEmpty(elem, left excl x, right)
+ else if (x > elem) new NonEmpty(elem, left, right excl x)
+ else left union right
+ }
+ def isEmpty(): Boolean = false
+ }
+
+ object Empty extends IntSet {
+ def add(x: Int): IntSet = new NonEmpty(x, Empty, Empty)
+ def contains(x: Int): Boolean = false
+ override def toString(): String = "-"
+ def foreach(f: Int => Unit): Unit = ()
+ def union(other: IntSet): IntSet = other
+ def intersect(other: IntSet): IntSet = Empty
+ def excl(x: Int): IntSet = Empty
+ def isEmpty(): Boolean = true
+ }
+
+ def main(args: Array[String]) = {
+ println("Question 1")
+ println("a)")
+ println(Empty)
+ println(Empty.add(3))
+ println(Empty.add(3).add(2))
+
+ println("b)")
+ val s = Empty.add(3).add(2).add(6).add(1)
+ s foreach println
+
+ println("c)")
+ s foreach ((v: Int) => print(s"${v + 1}, "))
+ println()
+
+ println("Question 2")
+ val s2 = Empty.add(2).add(3).add(8).add(10).add(1)
+ println(s"a) $s union $s2 = ${s union s2}")
+ println(s"b) $s intersect $s2 = ${s intersect s2}")
+
+ println("Question 3")
+ println(s"a) $s excl 3 = ${s excl 3}")
+ println(s"b) Empty + 3 + 4 + 12 + 5 = ${Empty + 3 + 4 + 12 + 5}")
+ println(s"c) $s - 1 - 2 - 3 - 4 = ${s - 1 - 2 - 3 - 4}")
+ }
+}
--- /dev/null
+Assignment_4
\ No newline at end of file
--- /dev/null
+<?xml version="1.0" encoding="UTF-8"?>
+<project version="4">
+ <component name="CompilerConfiguration">
+ <option name="DEFAULT_COMPILER" value="Javac" />
+ <resourceExtensions />
+ <wildcardResourcePatterns>
+ <entry name="!?*.java" />
+ <entry name="!?*.form" />
+ <entry name="!?*.class" />
+ <entry name="!?*.groovy" />
+ <entry name="!?*.scala" />
+ <entry name="!?*.flex" />
+ <entry name="!?*.kt" />
+ <entry name="!?*.clj" />
+ <entry name="!?*.aj" />
+ </wildcardResourcePatterns>
+ <annotationProcessing>
+ <profile default="true" name="Default" enabled="false">
+ <processorPath useClasspath="true" />
+ </profile>
+ </annotationProcessing>
+ </component>
+</project>
\ No newline at end of file
--- /dev/null
+<component name="CopyrightManager">
+ <settings default="" />
+</component>
\ No newline at end of file
--- /dev/null
+<?xml version="1.0" encoding="UTF-8"?>
+<project version="4">
+ <component name="Encoding" useUTFGuessing="true" native2AsciiForPropertiesFiles="false" />
+</project>
\ No newline at end of file
--- /dev/null
+<component name="libraryTable">
+ <library name="SBT: org.scala-lang:scala-library:2.11.6:jar" type="Scala">
+ <properties>
+ <compiler-classpath>
+ <root url="file://$USER_HOME$/.ivy2/cache/org.scala-lang/scala-compiler/jars/scala-compiler-2.11.6.jar" />
+ <root url="file://$USER_HOME$/.ivy2/cache/org.scala-lang/scala-library/jars/scala-library-2.11.6.jar" />
+ <root url="file://$USER_HOME$/.ivy2/cache/org.scala-lang/scala-reflect/jars/scala-reflect-2.11.6.jar" />
+ </compiler-classpath>
+ </properties>
+ <CLASSES>
+ <root url="jar://$USER_HOME$/.ivy2/cache/org.scala-lang/scala-library/jars/scala-library-2.11.6.jar!/" />
+ </CLASSES>
+ <JAVADOC>
+ <root url="jar://$USER_HOME$/.ivy2/cache/org.scala-lang/scala-library/docs/scala-library-2.11.6-javadoc.jar!/" />
+ </JAVADOC>
+ <SOURCES>
+ <root url="jar://$USER_HOME$/.ivy2/cache/org.scala-lang/scala-library/srcs/scala-library-2.11.6-sources.jar!/" />
+ </SOURCES>
+ </library>
+</component>
\ No newline at end of file
--- /dev/null
+<?xml version="1.0" encoding="UTF-8"?>
+<project version="4">
+ <component name="IdProvider" IDEtalkID="D9C160BCBEEA1C3B5B9C279B1B9F2521" />
+ <component name="ProjectRootManager" version="2" languageLevel="JDK_1_7" assert-keyword="true" jdk-15="true" project-jdk-name="1.7" project-jdk-type="JavaSDK">
+ <output url="file://$PROJECT_DIR$/out" />
+ </component>
+</project>
\ No newline at end of file
--- /dev/null
+<?xml version="1.0" encoding="UTF-8"?>
+<project version="4">
+ <component name="ProjectModuleManager">
+ <modules>
+ <module fileurl="file://$PROJECT_DIR$/.idea/modules/assignment_04.iml" filepath="$PROJECT_DIR$/.idea/modules/assignment_04.iml" />
+ <module fileurl="file://$PROJECT_DIR$/.idea/modules/assignment_04-build.iml" filepath="$PROJECT_DIR$/.idea/modules/assignment_04-build.iml" />
+ </modules>
+ </component>
+</project>
\ No newline at end of file
--- /dev/null
+<?xml version="1.0" encoding="UTF-8"?>
+<module external.linked.project.id="assignment_04-build" external.linked.project.path="$MODULE_DIR$/../../project" external.root.project.path="$MODULE_DIR$/../.." external.system.id="SBT" sbt.imports="sbt._, Keys._, _root_.sbt.plugins.IvyPlugin, _root_.sbt.plugins.JvmPlugin, _root_.sbt.plugins.CorePlugin, _root_.sbt.plugins.JUnitXmlReportPlugin" sbt.resolvers="http://repo1.maven.org/maven2/|maven|public, /home/gburri/.ivy2/cache|ivy|Local cache" type="SBT_MODULE" version="4">
+ <component name="NewModuleRootManager" inherit-compiler-output="false">
+ <output url="file://$MODULE_DIR$/../../project/target/idea-classes" />
+ <output-test url="file://$MODULE_DIR$/../../project/target/idea-test-classes" />
+ <exclude-output />
+ <content url="file://$MODULE_DIR$/../../project">
+ <sourceFolder url="file://$MODULE_DIR$/../../project" isTestSource="false" />
+ <excludeFolder url="file://$MODULE_DIR$/../../project/project/target" />
+ <excludeFolder url="file://$MODULE_DIR$/../../project/target" />
+ </content>
+ <orderEntry type="inheritedJdk" />
+ <orderEntry type="sourceFolder" forTests="false" />
+ <orderEntry type="module-library">
+ <library name="SBT: sbt-and-plugins">
+ <CLASSES>
+ <root url="jar://$USER_HOME$/.sbt/boot/scala-2.10.4/org.scala-sbt/sbt/0.13.5/ivy-2.3.0.jar!/" />
+ <root url="jar://$USER_HOME$/.sbt/boot/scala-2.10.4/org.scala-sbt/sbt/0.13.5/run-0.13.5.jar!/" />
+ <root url="jar://$USER_HOME$/.sbt/boot/scala-2.10.4/org.scala-sbt/sbt/0.13.5/scala-reflect-2.10.4.jar!/" />
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+ <root url="jar://$USER_HOME$/.sbt/boot/scala-2.10.4/org.scala-sbt/sbt/0.13.5/control-0.13.5.jar!/" />
+ <root url="jar://$USER_HOME$/.sbt/boot/scala-2.10.4/org.scala-sbt/sbt/0.13.5/launcher-interface-0.13.5.jar!/" />
+ <root url="jar://$USER_HOME$/.sbt/boot/scala-2.10.4/org.scala-sbt/sbt/0.13.5/actions-0.13.5.jar!/" />
+ <root url="jar://$USER_HOME$/.sbt/boot/scala-2.10.4/org.scala-sbt/sbt/0.13.5/task-system-0.13.5.jar!/" />
+ <root url="jar://$USER_HOME$/.sbt/boot/scala-2.10.4/org.scala-sbt/sbt/0.13.5/compiler-ivy-integration-0.13.5.jar!/" />
+ <root url="jar://$USER_HOME$/.sbt/boot/scala-2.10.4/org.scala-sbt/sbt/0.13.5/sbinary_2.10-0.4.2.jar!/" />
+ <root url="jar://$USER_HOME$/.sbt/boot/scala-2.10.4/org.scala-sbt/sbt/0.13.5/main-settings-0.13.5.jar!/" />
+ <root url="jar://$USER_HOME$/.sbt/boot/scala-2.10.4/org.scala-sbt/sbt/0.13.5/persist-0.13.5.jar!/" />
+ <root url="jar://$USER_HOME$/.sbt/boot/scala-2.10.4/org.scala-sbt/sbt/0.13.5/compiler-integration-0.13.5.jar!/" />
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+ <root url="jar://$USER_HOME$/.sbt/boot/scala-2.10.4/org.scala-sbt/sbt/0.13.5/incremental-compiler-0.13.5.jar!/" />
+ <root url="jar://$USER_HOME$/.sbt/boot/scala-2.10.4/org.scala-sbt/sbt/0.13.5/test-interface-1.0.jar!/" />
+ <root url="jar://$USER_HOME$/.sbt/boot/scala-2.10.4/org.scala-sbt/sbt/0.13.5/jsch-0.1.46.jar!/" />
+ <root url="jar://$USER_HOME$/.sbt/boot/scala-2.10.4/org.scala-sbt/sbt/0.13.5/completion-0.13.5.jar!/" />
+ <root url="jar://$USER_HOME$/.sbt/boot/scala-2.10.4/org.scala-sbt/sbt/0.13.5/classfile-0.13.5.jar!/" />
+ <root url="jar://$USER_HOME$/.sbt/boot/scala-2.10.4/org.scala-sbt/sbt/0.13.5/testing-0.13.5.jar!/" />
+ <root url="jar://$USER_HOME$/.sbt/boot/scala-2.10.4/org.scala-sbt/sbt/0.13.5/cache-0.13.5.jar!/" />
+ <root url="jar://$USER_HOME$/.sbt/boot/scala-2.10.4/org.scala-sbt/sbt/0.13.5/api-0.13.5.jar!/" />
+ <root url="jar://$USER_HOME$/.sbt/boot/scala-2.10.4/org.scala-sbt/sbt/0.13.5/classpath-0.13.5.jar!/" />
+ <root url="jar://$USER_HOME$/.sbt/boot/scala-2.10.4/org.scala-sbt/sbt/0.13.5/command-0.13.5.jar!/" />
+ <root url="jar://$USER_HOME$/.sbt/boot/scala-2.10.4/org.scala-sbt/sbt/0.13.5/ivy-0.13.5.jar!/" />
+ <root url="jar://$USER_HOME$/.sbt/boot/scala-2.10.4/org.scala-sbt/sbt/0.13.5/process-0.13.5.jar!/" />
+ <root url="jar://$USER_HOME$/.sbt/boot/scala-2.10.4/lib/jline.jar!/" />
+ <root url="jar://$USER_HOME$/.sbt/boot/scala-2.10.4/org.scala-sbt/sbt/0.13.5/logging-0.13.5.jar!/" />
+ <root url="jar://$USER_HOME$/.sbt/boot/scala-2.10.4/org.scala-sbt/sbt/0.13.5/compile-0.13.5.jar!/" />
+ <root url="jar://$USER_HOME$/.sbt/boot/scala-2.10.4/org.scala-sbt/sbt/0.13.5/sbt-0.13.5.jar!/" />
+ <root url="jar://$USER_HOME$/.sbt/boot/scala-2.10.4/org.scala-sbt/sbt/0.13.5/relation-0.13.5.jar!/" />
+ </CLASSES>
+ <JAVADOC />
+ <SOURCES>
+ <root url="jar://$USER_HOME$/.ivy2/cache/org.scala-sbt/incremental-compiler/srcs/incremental-compiler-0.13.5-sources.jar!/" />
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+ <root url="jar://$USER_HOME$/.ivy2/cache/org.scala-sbt/tasks/srcs/tasks-0.13.5-sources.jar!/" />
+ </SOURCES>
+ </library>
+ </orderEntry>
+ </component>
+</module>
\ No newline at end of file
--- /dev/null
+<?xml version="1.0" encoding="UTF-8"?>
+<module external.linked.project.id="assignment_04" external.linked.project.path="$MODULE_DIR$/../.." external.root.project.path="$MODULE_DIR$/../.." external.system.id="SBT" type="JAVA_MODULE" version="4">
+ <component name="NewModuleRootManager" inherit-compiler-output="false">
+ <output url="file://$MODULE_DIR$/../../target/scala-2.11/classes" />
+ <output-test url="file://$MODULE_DIR$/../../target/scala-2.11/test-classes" />
+ <exclude-output />
+ <content url="file://$MODULE_DIR$/../..">
+ <sourceFolder url="file://$MODULE_DIR$/../../src/main/java" isTestSource="false" />
+ <sourceFolder url="file://$MODULE_DIR$/../../src/main/scala" isTestSource="false" />
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+ <sourceFolder url="file://$MODULE_DIR$/../../target/scala-2.11/resource_managed/test" type="java-test-resource" />
+ <excludeFolder url="file://$MODULE_DIR$/../../target" />
+ </content>
+ <orderEntry type="inheritedJdk" />
+ <orderEntry type="sourceFolder" forTests="false" />
+ <orderEntry type="library" name="SBT: org.scala-lang:scala-library:2.11.6:jar" level="project" />
+ </component>
+</module>
\ No newline at end of file
--- /dev/null
+<?xml version="1.0" encoding="UTF-8"?>
+<project version="4">
+ <component name="ScalaSbtSettings">
+ <option name="linkedExternalProjectsSettings">
+ <SbtProjectSettings>
+ <option name="createEmptyContentRootDirectories" value="true" />
+ <option name="externalProjectPath" value="$PROJECT_DIR$" />
+ <option name="modules">
+ <set>
+ <option value="$PROJECT_DIR$" />
+ <option value="$PROJECT_DIR$/project" />
+ </set>
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+ <option name="RECENTLY_FILTERED_USER_GROUPS">
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+ <option name="myTodoPanelSettings">
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\ No newline at end of file
--- /dev/null
+name := "Assignment_04"
+
+version := "1.0"
+
+scalaVersion := "2.11.6"
+
\ No newline at end of file
--- /dev/null
+sbt.version = 0.13.5
\ No newline at end of file
--- /dev/null
+logLevel := Level.Warn
\ No newline at end of file
--- /dev/null
+object Main {
+
+ // Question 1: Expressions.
+ sealed abstract class Expr
+ case class Number(n: Int) extends Expr
+ case class Sum(e1: Expr, e2: Expr) extends Expr
+ case class Product(e1: Expr, e2: Expr) extends Expr
+
+ def eval(e: Expr): Int = e match {
+ case Number(n) => n
+ case Sum(e1, e2) => eval(e1) + eval(e2)
+ case Product(e1, e2) => eval(e1) * eval(e2)
+ }
+
+ def showFromProduct(e: Expr) : String = e match {
+ case Sum(e1, e2) => s"(${show(e1)} + ${show(e2)})"
+ case e => show(e)
+ }
+
+ def show(e: Expr): String = e match {
+ case Number(n) => n.toString()
+ case Sum(e1, e2) => s"${show(e1)} + ${show(e2)}"
+ case Product(e1, e2) => s"${showFromProduct(e1)} * ${showFromProduct(e2)}"
+ }
+
+ // Question 2: Trees.
+ sealed abstract class BinaryTree
+ case class Leaf(value: Int) extends BinaryTree
+ case class Node(left: BinaryTree, right: BinaryTree) extends BinaryTree
+
+ def sum(tree: BinaryTree): Int = tree match {
+ case Leaf(v) => v
+ case Node(l, r) => sum(l) + sum(r)
+ }
+
+ def min(a: Int, b: Int): Int = if (a < b) a else b
+ def minimum(tree: BinaryTree): Int = tree match {
+ case Leaf(v) => v
+ case Node(l, r) => min(minimum(l), minimum(r))
+ }
+
+ // Question 3: Lists functions.
+ def last[T](l: List[T]): T = l match {
+ case Nil => throw new Exception("empty list")
+ case x :: Nil => x
+ case x :: xs => last(xs)
+ }
+ def init[T](l: List[T]): List[T] = l match {
+ case Nil => Nil
+ case x :: Nil => Nil
+ case x :: xs => x :: init(xs)
+ }
+ def concat[T](l1: List[T])(l2: List[T]): List[T] = l1 match {
+ case Nil => l2
+ case x :: xs => x :: concat(xs)(l2)
+ }
+ def reverse[T](l: List[T]): List[T] = l match {
+ case Nil => Nil
+ case x :: xs => concat(reverse(xs))(List(x))
+ }
+ def take[T](l: List[T])(n: Int): List[T] = l match {
+ case Nil => Nil
+ case _ if n == 0 => Nil
+ case x :: xs => x :: take(xs)(n - 1)
+ }
+ def drop[T](l: List[T])(n: Int): List[T] = l match {
+ case Nil => Nil
+ case xs if n == 0 => xs
+ case x :: xs => drop(xs)(n - 1)
+ }
+ def apply[T](l: List[T])(n: Int): T = l match {
+ case Nil => throw new Exception("out of bounds")
+ case x :: xs => if (n == 0) x else apply(xs)(n - 1)
+ }
+
+ // Question 4: Predicates on lists.
+ def any[T](l: List[T])(p: T => Boolean): Boolean = l match {
+ case Nil => false
+ case x :: xs => if (p(x)) true else any(xs)(p)
+ }
+ def every[T](l: List[T])(p: T => Boolean): Boolean = l match {
+ case Nil => true
+ case x :: xs => if (p(x)) every(xs)(p) else false
+ }
+
+ def main(args: Array[String]) = {
+ println("Assignment 4")
+ println("Question 1: Expressions")
+
+ val expr0 = Sum(Product(Number(2), Number(3)), Number(4))
+ println(s"Expr0: ${show(expr0)}")
+ assert(eval(expr0) == 10)
+
+ val expr1 = Product(Number(4), Number(12))
+ println(s"Expr1: ${show(expr1)}")
+ assert(eval(expr1) == 48)
+
+ val expr2 = Product(Sum(Number(2), Number(3)), Number(4))
+ println(s"Expr2: ${show(expr2)}")
+ assert(eval(expr2) == 20)
+
+ val expr3 = Product(Number(2), Sum(Number(3), Number(4)))
+ println(s"Expr3: ${show(expr3)}")
+ assert(eval(expr3) == 14)
+ println()
+
+
+ println("Question 2: Tree")
+ val t = Node(Node(Leaf(4), Leaf(8)), Leaf(2))
+ println(s"minimum($t): ${minimum(t)}")
+ assert(minimum(t) == 2)
+ val t2 = Node(Leaf(8), Node(Leaf(2), Leaf(1)))
+ println(s"minimum($t2): ${minimum(t2)}")
+ assert(minimum(t2) == 1)
+ println()
+
+
+ println("Question 3: Lists functions")
+
+ val l1 = List(2, 3, 1, 4, 2, 9)
+ val l2 = List(8)
+ val l3 : List[Int] = Nil
+
+ println(s"last($l1): ${last(l1)}")
+ println(s"last($l2): ${last(l2)}")
+
+ println(s"init($l1): ${init(l1)}")
+ println(s"init($l2): ${init(l2)}")
+ println(s"init($l3): ${init(l3)}")
+
+ println(s"concat(concat($l1)($l2))($l3): ${concat(concat(l1)(l2))(l3)}")
+
+ println(s"reverse($l1): ${reverse(l1)}")
+ println(s"reverse($l2): ${reverse(l2)}")
+ println(s"reverse($l3): ${reverse(l3)}")
+
+ println(s"take($l1)(3): ${take(l1)(3)}")
+ println(s"take($l1)(6): ${take(l1)(6)}")
+ println(s"take($l1)(10): ${take(l1)(10)}")
+
+ println(s"drop($l1)(3): ${drop(l1)(3)}")
+ println(s"drop($l1)(6): ${drop(l1)(6)}")
+ println(s"drop($l1)(10): ${drop(l1)(10)}")
+
+ println(s"apply($l1)(0): ${apply(l1)(0)}")
+ println(s"apply($l1)(3): ${apply(l1)(3)}")
+ println(s"apply($l1)(5): ${apply(l1)(5)}")
+ println()
+
+
+ println("Question 4: Predicates on lists")
+ println(s"any($l1)(_ == 4): ${any(l1)(_ == 4)}")
+ println(s"any($l1)(_ == 13): ${any(l1)(_ == 13)}")
+
+ println(s"every($l1)(_ < 4): ${every(l1)(_ < 4)}")
+ println(s"every($l1)(_ < 13): ${every(l1)(_ < 13)}")
+ }
+}
projects / Scala.git / commitdiff