Kotlin - Perfect Numbers Complete

This commit is contained in:
anthony.cicchetti 2017-06-05 09:40:03 -04:00
parent ad624163d9
commit 75ff7508e6
29 changed files with 1389 additions and 5 deletions

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#Mon Jun 05 09:22:49 EDT 2017
gradle.version=3.5

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# Perfect Numbers
Determine if a number is perfect, abundant, or deficient based on
Nicomachus' (60 - 120 CE) classification scheme for natural numbers.
The Greek mathematician [Nicomachus](https://en.wikipedia.org/wiki/Nicomachus) devised a classification scheme for natural numbers, identifying each as belonging uniquely to the categories of **perfect**, **abundant**, or **deficient** based on their [aliquot sum](https://en.wikipedia.org/wiki/Aliquot_sum). The aliquot sum is defined as the sum of the factors of a number not including the number itself. For example, the aliquot sum of 15 is (1 + 3 + 5) = 9
- **Perfect**: aliquot sum = number
- 6 is a perfect number because (1 + 2 + 3) = 6
- 28 is a perfect number because (1 + 2 + 4 + 7 + 14) = 28
- **Abundant**: aliquot sum > number
- 12 is an abundant number because (1 + 2 + 3 + 4 + 6) = 16
- 24 is an abundant number because (1 + 2 + 3 + 4 + 6 + 8 + 12) = 36
- **Deficient**: aliquot sum < number
- 8 is a deficient number because (1 + 2 + 4) = 7
- Prime numbers are deficient
Implement a way to determine whether a given number is **perfect**. Depending on your language track, you may also need to implement a way to determine whether a given number is **abundant** or **deficient**.
## Source
Taken from Chapter 2 of Functional Thinking by Neal Ford. [http://shop.oreilly.com/product/0636920029687.do](http://shop.oreilly.com/product/0636920029687.do)
## Submitting Incomplete Solutions
It's possible to submit an incomplete solution so you can see how others have completed the exercise.

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buildscript {
ext.kotlin_version = '1.1.1'
repositories {
mavenCentral()
}
dependencies {
classpath "org.jetbrains.kotlin:kotlin-gradle-plugin:$kotlin_version"
}
}
apply plugin: 'kotlin'
repositories {
mavenCentral()
}
dependencies {
compile "org.jetbrains.kotlin:kotlin-stdlib:$kotlin_version"
testCompile 'junit:junit:4.12'
testCompile "org.jetbrains.kotlin:kotlin-test-junit:$kotlin_version"
}
test {
testLogging {
exceptionFormat = 'full'
events = ["passed", "failed", "skipped"]
}
}

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11001

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<?xml version="1.0" encoding="UTF-8"?>
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fun Int.getFactors(): List<Int>{
var returnList: MutableList<Int> = emptyList<Int>().toMutableList()
returnList.add(1)
val squareRoot: Int = Math.sqrt(this.toDouble()).toInt()
for (i in (2..squareRoot)){
if (this.rem(i) == 0){
returnList.add(i)
returnList.add(this/i)
}
}
return returnList
}
enum class Classification {
DEFICIENT, PERFECT, ABUNDANT
}
fun classify(naturalNumber: Int): Classification {
if (naturalNumber < 1) throw RuntimeException()
val aliquotSum: Int = naturalNumber.getFactors().sum()
if (aliquotSum == naturalNumber){
return Classification.PERFECT
}
else if (aliquotSum > naturalNumber){
return Classification.ABUNDANT
}
else return Classification.DEFICIENT
}

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import org.junit.Ignore
import org.junit.Test
import org.junit.Assert.assertEquals
class NaturalNumberTest {
@Test
fun smallPerfectNumberIsClassifiedCorrectly() {
assertEquals(Classification.PERFECT, classify(6))
}
@Test
fun mediumPerfectNumberIsClassifiedCorrectly() {
assertEquals(Classification.PERFECT, classify(28))
}
@Test
fun largePerfectNumberIsClassifiedCorrectly() {
assertEquals(Classification.PERFECT, classify(33550336))
}
@Test
fun smallAbundantNumberIsClassifiedCorrectly() {
assertEquals(Classification.ABUNDANT, classify(12))
}
@Test
fun mediumAbundantNumberIsClassifiedCorrectly() {
assertEquals(Classification.ABUNDANT, classify(24))
}
@Test
fun largeAbundantNumberIsClassifiedCorrectly() {
assertEquals(Classification.ABUNDANT, classify(33550335))
}
@Test
fun smallDeficientNumberIsClassifiedCorrectly() {
assertEquals(Classification.DEFICIENT, classify(8))
}
@Test
fun mediumNumberIsClassifiedCorrectly() {
assertEquals(Classification.DEFICIENT, classify(31))
}
@Test
fun largeDeficientNumberIsClassifiedCorrectly() {
assertEquals(Classification.DEFICIENT, classify(33550337))
}
@Test(expected = RuntimeException::class)
fun mustProvideNaturalNumber() {
assertEquals(Classification.DEFICIENT, classify(-1))
}
}